%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : GEO194+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n003.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 23:22:06 EDT 2023

% Result   : Theorem 15.09s 2.72s
% Output   : Proof 21.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO194+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Aug 29 22:48:56 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.49/0.61  ________       _____
% 0.49/0.61  ___  __ \_________(_)________________________________
% 0.49/0.61  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.49/0.61  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.49/0.61  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.49/0.61  
% 0.49/0.61  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.49/0.61  (2023-06-19)
% 0.49/0.61  
% 0.49/0.61  (c) Philipp Rümmer, 2009-2023
% 0.49/0.61  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.49/0.61                Amanda Stjerna.
% 0.49/0.61  Free software under BSD-3-Clause.
% 0.49/0.61  
% 0.49/0.61  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.49/0.61  
% 0.49/0.61  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.49/0.62  Running up to 7 provers in parallel.
% 0.49/0.63  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.49/0.63  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.49/0.63  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.49/0.63  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.49/0.63  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.49/0.63  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.49/0.63  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.48/1.06  Prover 1: Preprocessing ...
% 2.48/1.06  Prover 4: Preprocessing ...
% 2.67/1.10  Prover 0: Preprocessing ...
% 2.67/1.10  Prover 3: Preprocessing ...
% 2.67/1.10  Prover 6: Preprocessing ...
% 2.67/1.10  Prover 5: Preprocessing ...
% 2.67/1.10  Prover 2: Preprocessing ...
% 4.43/1.33  Prover 2: Proving ...
% 4.61/1.34  Prover 5: Proving ...
% 4.61/1.36  Prover 6: Constructing countermodel ...
% 4.61/1.36  Prover 1: Constructing countermodel ...
% 4.61/1.37  Prover 3: Constructing countermodel ...
% 5.23/1.47  Prover 0: Proving ...
% 5.23/1.48  Prover 6: gave up
% 5.23/1.48  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 5.65/1.49  Prover 1: gave up
% 5.65/1.50  Prover 3: gave up
% 5.65/1.50  Prover 4: Constructing countermodel ...
% 5.65/1.50  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 5.65/1.50  Prover 9: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 5.65/1.51  Prover 7: Preprocessing ...
% 5.65/1.53  Prover 9: Preprocessing ...
% 5.65/1.53  Prover 8: Preprocessing ...
% 5.65/1.54  Prover 7: Warning: ignoring some quantifiers
% 6.23/1.56  Prover 7: Constructing countermodel ...
% 6.85/1.65  Prover 8: Warning: ignoring some quantifiers
% 6.85/1.66  Prover 8: Constructing countermodel ...
% 6.85/1.71  Prover 9: Constructing countermodel ...
% 6.85/1.71  Prover 8: gave up
% 7.49/1.72  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 7.49/1.76  Prover 10: Preprocessing ...
% 7.49/1.79  Prover 10: Warning: ignoring some quantifiers
% 7.49/1.81  Prover 10: Constructing countermodel ...
% 7.49/1.84  Prover 7: gave up
% 8.08/1.85  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 8.08/1.87  Prover 10: gave up
% 8.08/1.88  Prover 11: Preprocessing ...
% 8.08/1.89  Prover 12: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391
% 8.08/1.92  Prover 12: Preprocessing ...
% 9.12/2.01  Prover 12: Proving ...
% 9.68/2.06  Prover 11: Constructing countermodel ...
% 15.09/2.72  Prover 9: proved (1217ms)
% 15.09/2.72  
% 15.09/2.72  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.09/2.72  
% 15.09/2.74  Prover 5: stopped
% 15.09/2.74  Prover 2: stopped
% 15.09/2.74  Prover 0: stopped
% 15.09/2.74  Prover 12: stopped
% 15.09/2.74  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 15.09/2.74  Prover 16: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 15.09/2.74  Prover 19: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 15.31/2.75  Prover 13: Preprocessing ...
% 15.31/2.75  Prover 19: Preprocessing ...
% 15.31/2.76  Prover 16: Preprocessing ...
% 15.31/2.78  Prover 13: Warning: ignoring some quantifiers
% 15.31/2.78  Prover 13: Constructing countermodel ...
% 15.31/2.79  Prover 16: Warning: ignoring some quantifiers
% 15.31/2.79  Prover 16: Constructing countermodel ...
% 15.31/2.80  Prover 19: Warning: ignoring some quantifiers
% 15.31/2.80  Prover 19: Constructing countermodel ...
% 15.89/2.83  Prover 19: gave up
% 15.89/2.87  Prover 13: gave up
% 17.29/3.08  Prover 16: gave up
% 20.08/3.60  Prover 4: Found proof (size 324)
% 20.08/3.60  Prover 4: proved (2971ms)
% 20.08/3.60  Prover 11: stopped
% 20.08/3.60  
% 20.08/3.60  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.08/3.60  
% 20.08/3.66  % SZS output start Proof for theBenchmark
% 20.08/3.66  Assumptions after simplification:
% 20.08/3.66  ---------------------------------
% 20.08/3.66  
% 20.08/3.66    (apart3)
% 20.80/3.69     ! [v0: $i] : ( ~ (convergent_lines(v0, v0) = 0) |  ~ $i(v0))
% 20.80/3.69  
% 20.80/3.69    (ceq1)
% 20.80/3.69     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: int] :  ! [v4: int] : (v4 =
% 20.80/3.69      0 | v3 = 0 |  ~ (apart_point_and_line(v2, v1) = v4) |  ~
% 20.80/3.69      (distinct_points(v0, v2) = v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v5:
% 20.80/3.69        int] : ( ~ (v5 = 0) & apart_point_and_line(v0, v1) = v5)) &  ! [v0: $i] : 
% 20.80/3.69    ! [v1: $i] :  ! [v2: $i] :  ! [v3: int] : (v3 = 0 |  ~
% 20.80/3.69      (apart_point_and_line(v2, v1) = v3) |  ~ (apart_point_and_line(v0, v1) = 0)
% 20.80/3.69      |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) | distinct_points(v0, v2) = 0) &  ! [v0:
% 20.80/3.69      $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: int] : (v3 = 0 |  ~
% 20.80/3.69      (apart_point_and_line(v0, v1) = 0) |  ~ (distinct_points(v0, v2) = v3) |  ~
% 20.80/3.69      $i(v2) |  ~ $i(v1) |  ~ $i(v0) | apart_point_and_line(v2, v1) = 0)
% 20.80/3.69  
% 20.80/3.69    (ceq3)
% 20.80/3.70     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: int] :  ! [v4: int] : (v4 =
% 20.80/3.70      0 | v3 = 0 |  ~ (convergent_lines(v0, v2) = v4) |  ~ (distinct_lines(v1, v2)
% 20.80/3.70        = v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v5: int] : ( ~ (v5 = 0) &
% 20.80/3.70        convergent_lines(v0, v1) = v5)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i]
% 20.80/3.70    :  ! [v3: int] : (v3 = 0 |  ~ (convergent_lines(v0, v2) = v3) |  ~
% 20.80/3.70      (convergent_lines(v0, v1) = 0) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |
% 20.80/3.70      distinct_lines(v1, v2) = 0) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  !
% 20.80/3.70    [v3: int] : (v3 = 0 |  ~ (convergent_lines(v0, v1) = 0) |  ~
% 20.80/3.70      (distinct_lines(v1, v2) = v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |
% 20.80/3.70      convergent_lines(v0, v2) = 0)
% 20.80/3.70  
% 20.80/3.70    (ci3)
% 20.80/3.70     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (intersection_point(v0, v1) =
% 20.80/3.70        v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :
% 20.80/3.70      (apart_point_and_line(v2, v0) = v4 & convergent_lines(v0, v1) = v3 & ( ~ (v4
% 20.80/3.70            = 0) |  ~ (v3 = 0)))) &  ! [v0: $i] :  ! [v1: $i] : ( ~
% 20.80/3.70      (convergent_lines(v0, v1) = 0) |  ~ $i(v1) |  ~ $i(v0) |  ? [v2: $i] :  ?
% 20.80/3.70      [v3: int] : ( ~ (v3 = 0) & intersection_point(v0, v1) = v2 &
% 20.80/3.70        apart_point_and_line(v2, v0) = v3 & $i(v2)))
% 20.80/3.70  
% 20.80/3.70    (ci4)
% 20.80/3.71     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (intersection_point(v0, v1) =
% 20.80/3.71        v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :
% 20.80/3.71      (apart_point_and_line(v2, v1) = v4 & convergent_lines(v0, v1) = v3 & ( ~ (v4
% 20.80/3.71            = 0) |  ~ (v3 = 0)))) &  ! [v0: $i] :  ! [v1: $i] : ( ~
% 20.80/3.71      (convergent_lines(v0, v1) = 0) |  ~ $i(v1) |  ~ $i(v0) |  ? [v2: $i] :  ?
% 20.80/3.71      [v3: int] : ( ~ (v3 = 0) & intersection_point(v0, v1) = v2 &
% 20.80/3.71        apart_point_and_line(v2, v1) = v3 & $i(v2)))
% 20.80/3.71  
% 20.80/3.71    (con)
% 20.80/3.71     ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5:
% 20.80/3.71      int] : ( ~ (v5 = 0) & intersection_point(v0, v2) = v4 &
% 20.80/3.71      intersection_point(v0, v1) = v3 & apart_point_and_line(v4, v1) = v5 &
% 20.80/3.71      apart_point_and_line(v3, v2) = 0 & convergent_lines(v2, v1) = 0 &
% 20.80/3.71      convergent_lines(v0, v2) = 0 & convergent_lines(v0, v1) = 0 & $i(v4) &
% 20.80/3.71      $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 20.80/3.71  
% 20.80/3.71    (cu1)
% 20.80/3.72     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: int] :  ! [v5:
% 20.80/3.72      int] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v3) = v5) |  ~
% 20.80/3.72      (apart_point_and_line(v1, v2) = v4) |  ~ (distinct_points(v0, v1) = 0) |  ~
% 20.80/3.72      $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v6: any] :  ? [v7: any] : 
% 20.80/3.72      ? [v8: any] : (apart_point_and_line(v0, v3) = v8 & apart_point_and_line(v0,
% 20.80/3.72          v2) = v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 =
% 20.80/3.72          0))) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4:
% 20.80/3.72      int] :  ! [v5: int] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v3) =
% 20.80/3.72        v5) |  ~ (apart_point_and_line(v0, v3) = v4) |  ~ (distinct_lines(v2, v3)
% 20.80/3.72        = 0) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v6: any] :  ?
% 20.80/3.72      [v7: any] :  ? [v8: any] : (apart_point_and_line(v1, v2) = v8 &
% 20.80/3.72        apart_point_and_line(v0, v2) = v7 & distinct_points(v0, v1) = v6 & ( ~ (v6
% 20.80/3.72            = 0) | v8 = 0 | v7 = 0))) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : 
% 20.80/3.72    ! [v3: $i] :  ! [v4: int] :  ! [v5: int] : (v5 = 0 | v4 = 0 |  ~
% 20.80/3.72      (apart_point_and_line(v1, v3) = v5) |  ~ (apart_point_and_line(v0, v2) = v4)
% 20.80/3.72      |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v6: any] :  ? [v7:
% 20.80/3.72        any] :  ? [v8: any] :  ? [v9: any] : (apart_point_and_line(v1, v2) = v9 &
% 20.80/3.72        apart_point_and_line(v0, v3) = v8 & distinct_lines(v2, v3) = v7 &
% 20.80/3.72        distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) |  ~ (v6 = 0) | v9 = 0 | v8 =
% 20.80/3.72          0))) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4:
% 20.80/3.72      int] :  ! [v5: int] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v2) =
% 20.80/3.72        v5) |  ~ (apart_point_and_line(v0, v3) = v4) |  ~ $i(v3) |  ~ $i(v2) |  ~
% 20.80/3.72      $i(v1) |  ~ $i(v0) |  ? [v6: any] :  ? [v7: any] :  ? [v8: any] :  ? [v9:
% 20.80/3.72        any] : (apart_point_and_line(v1, v3) = v9 & apart_point_and_line(v0, v2) =
% 20.80/3.72        v8 & distinct_lines(v2, v3) = v7 & distinct_points(v0, v1) = v6 & ( ~ (v7
% 20.80/3.72            = 0) |  ~ (v6 = 0) | v9 = 0 | v8 = 0))) &  ! [v0: $i] :  ! [v1: $i] : 
% 20.80/3.72    ! [v2: $i] :  ! [v3: $i] :  ! [v4: int] :  ! [v5: int] : (v5 = 0 | v4 = 0 |  ~
% 20.80/3.72      (apart_point_and_line(v1, v2) = v5) |  ~ (apart_point_and_line(v0, v2) = v4)
% 20.80/3.72      |  ~ (distinct_lines(v2, v3) = 0) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~
% 20.80/3.72      $i(v0) |  ? [v6: any] :  ? [v7: any] :  ? [v8: any] :
% 20.80/3.72      (apart_point_and_line(v1, v3) = v8 & apart_point_and_line(v0, v3) = v7 &
% 20.80/3.72        distinct_points(v0, v1) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0))) &  ! [v0:
% 20.80/3.72      $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: int] :  ! [v5: int]
% 20.80/3.72    : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v0, v3) = v5) |  ~
% 20.80/3.72      (apart_point_and_line(v0, v2) = v4) |  ~ (distinct_points(v0, v1) = 0) |  ~
% 20.80/3.72      $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v6: any] :  ? [v7: any] : 
% 20.80/3.72      ? [v8: any] : (apart_point_and_line(v1, v3) = v8 & apart_point_and_line(v1,
% 20.80/3.72          v2) = v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 =
% 20.80/3.72          0))) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : ( ~
% 20.80/3.72      (distinct_lines(v2, v3) = 0) |  ~ (distinct_points(v0, v1) = 0) |  ~ $i(v3)
% 20.80/3.72      |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v4: any] :  ? [v5: any] :  ? [v6:
% 20.80/3.72        any] :  ? [v7: any] : (apart_point_and_line(v1, v3) = v7 &
% 20.80/3.72        apart_point_and_line(v1, v2) = v6 & apart_point_and_line(v0, v3) = v5 &
% 20.80/3.72        apart_point_and_line(v0, v2) = v4 & (v7 = 0 | v6 = 0 | v5 = 0 | v4 = 0)))
% 20.80/3.72  
% 20.80/3.72    (function-axioms)
% 20.80/3.73     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 20.80/3.73      (intersection_point(v3, v2) = v1) |  ~ (intersection_point(v3, v2) = v0)) & 
% 20.80/3.73    ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 20.80/3.73      (line_connecting(v3, v2) = v1) |  ~ (line_connecting(v3, v2) = v0)) &  !
% 20.80/3.73    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 20.80/3.73      $i] : (v1 = v0 |  ~ (apart_point_and_line(v3, v2) = v1) |  ~
% 20.80/3.73      (apart_point_and_line(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 20.80/3.73      MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 20.80/3.73      (convergent_lines(v3, v2) = v1) |  ~ (convergent_lines(v3, v2) = v0)) &  !
% 20.80/3.73    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 20.80/3.73      $i] : (v1 = v0 |  ~ (distinct_lines(v3, v2) = v1) |  ~ (distinct_lines(v3,
% 20.80/3.73          v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] : 
% 20.80/3.73    ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (distinct_points(v3, v2) = v1) |  ~
% 20.80/3.73      (distinct_points(v3, v2) = v0))
% 20.80/3.73  
% 20.80/3.73  Further assumptions not needed in the proof:
% 20.80/3.73  --------------------------------------------
% 20.80/3.73  apart1, apart2, apart4, apart5, ax6, ceq2, ci1, ci2
% 20.80/3.73  
% 20.80/3.73  Those formulas are unsatisfiable:
% 20.80/3.73  ---------------------------------
% 20.80/3.73  
% 20.80/3.73  Begin of proof
% 20.80/3.73  | 
% 20.80/3.73  | ALPHA: (ci3) implies:
% 20.80/3.73  |   (1)   ! [v0: $i] :  ! [v1: $i] : ( ~ (convergent_lines(v0, v1) = 0) |  ~
% 20.80/3.73  |          $i(v1) |  ~ $i(v0) |  ? [v2: $i] :  ? [v3: int] : ( ~ (v3 = 0) &
% 20.80/3.73  |            intersection_point(v0, v1) = v2 & apart_point_and_line(v2, v0) = v3
% 20.80/3.73  |            & $i(v2)))
% 20.80/3.73  |   (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (intersection_point(v0,
% 20.80/3.73  |              v1) = v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :
% 20.80/3.73  |          (apart_point_and_line(v2, v0) = v4 & convergent_lines(v0, v1) = v3 &
% 20.80/3.73  |            ( ~ (v4 = 0) |  ~ (v3 = 0))))
% 20.80/3.73  | 
% 20.80/3.73  | ALPHA: (ci4) implies:
% 20.80/3.73  |   (3)   ! [v0: $i] :  ! [v1: $i] : ( ~ (convergent_lines(v0, v1) = 0) |  ~
% 20.80/3.73  |          $i(v1) |  ~ $i(v0) |  ? [v2: $i] :  ? [v3: int] : ( ~ (v3 = 0) &
% 20.80/3.73  |            intersection_point(v0, v1) = v2 & apart_point_and_line(v2, v1) = v3
% 20.80/3.73  |            & $i(v2)))
% 20.80/3.73  |   (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (intersection_point(v0,
% 20.80/3.73  |              v1) = v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :
% 20.80/3.73  |          (apart_point_and_line(v2, v1) = v4 & convergent_lines(v0, v1) = v3 &
% 20.80/3.73  |            ( ~ (v4 = 0) |  ~ (v3 = 0))))
% 20.80/3.73  | 
% 20.80/3.73  | ALPHA: (cu1) implies:
% 20.80/3.73  |   (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: int] : 
% 20.80/3.73  |        ! [v5: int] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v2) = v5)
% 20.80/3.73  |          |  ~ (apart_point_and_line(v0, v3) = v4) |  ~ $i(v3) |  ~ $i(v2) |  ~
% 20.80/3.73  |          $i(v1) |  ~ $i(v0) |  ? [v6: any] :  ? [v7: any] :  ? [v8: any] :  ?
% 20.80/3.73  |          [v9: any] : (apart_point_and_line(v1, v3) = v9 &
% 20.80/3.73  |            apart_point_and_line(v0, v2) = v8 & distinct_lines(v2, v3) = v7 &
% 20.80/3.73  |            distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) |  ~ (v6 = 0) | v9 = 0
% 20.80/3.73  |              | v8 = 0)))
% 20.80/3.74  |   (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: int] : 
% 20.80/3.74  |        ! [v5: int] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v3) = v5)
% 20.80/3.74  |          |  ~ (apart_point_and_line(v0, v2) = v4) |  ~ $i(v3) |  ~ $i(v2) |  ~
% 20.80/3.74  |          $i(v1) |  ~ $i(v0) |  ? [v6: any] :  ? [v7: any] :  ? [v8: any] :  ?
% 20.80/3.74  |          [v9: any] : (apart_point_and_line(v1, v2) = v9 &
% 20.80/3.74  |            apart_point_and_line(v0, v3) = v8 & distinct_lines(v2, v3) = v7 &
% 20.80/3.74  |            distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) |  ~ (v6 = 0) | v9 = 0
% 20.80/3.74  |              | v8 = 0)))
% 20.80/3.74  | 
% 20.80/3.74  | ALPHA: (ceq1) implies:
% 20.80/3.74  |   (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: int] : (v3 = 0 |  ~
% 20.80/3.74  |          (apart_point_and_line(v2, v1) = v3) |  ~ (apart_point_and_line(v0,
% 20.80/3.74  |              v1) = 0) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |
% 20.80/3.74  |          distinct_points(v0, v2) = 0)
% 20.80/3.74  | 
% 20.80/3.74  | ALPHA: (ceq3) implies:
% 20.80/3.74  |   (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: int] : (v3 = 0 |  ~
% 20.80/3.74  |          (convergent_lines(v0, v1) = 0) |  ~ (distinct_lines(v1, v2) = v3) | 
% 20.80/3.74  |          ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) | convergent_lines(v0, v2) = 0)
% 20.80/3.74  | 
% 20.80/3.74  | ALPHA: (function-axioms) implies:
% 20.80/3.74  |   (9)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :
% 20.80/3.74  |         ! [v3: $i] : (v1 = v0 |  ~ (distinct_points(v3, v2) = v1) |  ~
% 20.80/3.74  |          (distinct_points(v3, v2) = v0))
% 20.80/3.74  |   (10)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 20.80/3.74  |         :  ! [v3: $i] : (v1 = v0 |  ~ (distinct_lines(v3, v2) = v1) |  ~
% 20.80/3.74  |           (distinct_lines(v3, v2) = v0))
% 20.80/3.74  |   (11)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 20.80/3.74  |         :  ! [v3: $i] : (v1 = v0 |  ~ (convergent_lines(v3, v2) = v1) |  ~
% 20.80/3.74  |           (convergent_lines(v3, v2) = v0))
% 20.80/3.74  |   (12)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 20.80/3.74  |         :  ! [v3: $i] : (v1 = v0 |  ~ (apart_point_and_line(v3, v2) = v1) |  ~
% 20.80/3.74  |           (apart_point_and_line(v3, v2) = v0))
% 20.80/3.74  |   (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 20.80/3.74  |           (intersection_point(v3, v2) = v1) |  ~ (intersection_point(v3, v2) =
% 20.80/3.74  |             v0))
% 20.80/3.74  | 
% 20.80/3.74  | DELTA: instantiating (con) with fresh symbols all_17_0, all_17_1, all_17_2,
% 20.80/3.74  |        all_17_3, all_17_4, all_17_5 gives:
% 20.80/3.74  |   (14)   ~ (all_17_0 = 0) & intersection_point(all_17_5, all_17_3) = all_17_1
% 20.80/3.74  |         & intersection_point(all_17_5, all_17_4) = all_17_2 &
% 20.80/3.74  |         apart_point_and_line(all_17_1, all_17_4) = all_17_0 &
% 20.80/3.74  |         apart_point_and_line(all_17_2, all_17_3) = 0 &
% 20.80/3.74  |         convergent_lines(all_17_3, all_17_4) = 0 & convergent_lines(all_17_5,
% 20.80/3.74  |           all_17_3) = 0 & convergent_lines(all_17_5, all_17_4) = 0 &
% 20.80/3.74  |         $i(all_17_1) & $i(all_17_2) & $i(all_17_3) & $i(all_17_4) &
% 20.80/3.74  |         $i(all_17_5)
% 20.80/3.74  | 
% 20.80/3.74  | ALPHA: (14) implies:
% 20.80/3.74  |   (15)   ~ (all_17_0 = 0)
% 20.80/3.74  |   (16)  $i(all_17_5)
% 20.80/3.74  |   (17)  $i(all_17_4)
% 20.80/3.74  |   (18)  $i(all_17_3)
% 20.80/3.74  |   (19)  $i(all_17_1)
% 20.80/3.74  |   (20)  convergent_lines(all_17_5, all_17_4) = 0
% 20.80/3.74  |   (21)  convergent_lines(all_17_5, all_17_3) = 0
% 20.80/3.74  |   (22)  convergent_lines(all_17_3, all_17_4) = 0
% 20.80/3.74  |   (23)  apart_point_and_line(all_17_2, all_17_3) = 0
% 20.80/3.74  |   (24)  apart_point_and_line(all_17_1, all_17_4) = all_17_0
% 20.80/3.74  |   (25)  intersection_point(all_17_5, all_17_4) = all_17_2
% 20.80/3.74  |   (26)  intersection_point(all_17_5, all_17_3) = all_17_1
% 20.80/3.74  | 
% 20.80/3.74  | GROUND_INST: instantiating (3) with all_17_5, all_17_4, simplifying with (16),
% 20.80/3.74  |              (17), (20) gives:
% 20.80/3.75  |   (27)   ? [v0: $i] :  ? [v1: int] : ( ~ (v1 = 0) &
% 20.80/3.75  |           intersection_point(all_17_5, all_17_4) = v0 &
% 20.80/3.75  |           apart_point_and_line(v0, all_17_4) = v1 & $i(v0))
% 20.80/3.75  | 
% 20.80/3.75  | GROUND_INST: instantiating (1) with all_17_5, all_17_4, simplifying with (16),
% 20.80/3.75  |              (17), (20) gives:
% 20.80/3.75  |   (28)   ? [v0: $i] :  ? [v1: int] : ( ~ (v1 = 0) &
% 20.80/3.75  |           intersection_point(all_17_5, all_17_4) = v0 &
% 20.80/3.75  |           apart_point_and_line(v0, all_17_5) = v1 & $i(v0))
% 20.80/3.75  | 
% 20.80/3.75  | GROUND_INST: instantiating (3) with all_17_5, all_17_3, simplifying with (16),
% 20.80/3.75  |              (18), (21) gives:
% 20.80/3.75  |   (29)   ? [v0: $i] :  ? [v1: int] : ( ~ (v1 = 0) &
% 20.80/3.75  |           intersection_point(all_17_5, all_17_3) = v0 &
% 20.80/3.75  |           apart_point_and_line(v0, all_17_3) = v1 & $i(v0))
% 20.80/3.75  | 
% 20.80/3.75  | GROUND_INST: instantiating (1) with all_17_5, all_17_3, simplifying with (16),
% 20.80/3.75  |              (18), (21) gives:
% 20.80/3.75  |   (30)   ? [v0: $i] :  ? [v1: int] : ( ~ (v1 = 0) &
% 20.80/3.75  |           intersection_point(all_17_5, all_17_3) = v0 &
% 20.80/3.75  |           apart_point_and_line(v0, all_17_5) = v1 & $i(v0))
% 20.80/3.75  | 
% 20.80/3.75  | GROUND_INST: instantiating (3) with all_17_3, all_17_4, simplifying with (17),
% 20.80/3.75  |              (18), (22) gives:
% 20.80/3.75  |   (31)   ? [v0: $i] :  ? [v1: int] : ( ~ (v1 = 0) &
% 20.80/3.75  |           intersection_point(all_17_3, all_17_4) = v0 &
% 20.80/3.75  |           apart_point_and_line(v0, all_17_4) = v1 & $i(v0))
% 20.80/3.75  | 
% 20.80/3.75  | GROUND_INST: instantiating (1) with all_17_3, all_17_4, simplifying with (17),
% 20.80/3.75  |              (18), (22) gives:
% 20.80/3.75  |   (32)   ? [v0: $i] :  ? [v1: int] : ( ~ (v1 = 0) &
% 20.80/3.75  |           intersection_point(all_17_3, all_17_4) = v0 &
% 20.80/3.75  |           apart_point_and_line(v0, all_17_3) = v1 & $i(v0))
% 20.80/3.75  | 
% 20.80/3.75  | GROUND_INST: instantiating (6) with all_17_1, all_17_1, all_17_4, all_17_4,
% 20.80/3.75  |              all_17_0, all_17_0, simplifying with (17), (19), (24) gives:
% 20.80/3.75  |   (33)  all_17_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3:
% 20.80/3.75  |           any] : (apart_point_and_line(all_17_1, all_17_4) = v3 &
% 20.80/3.75  |           apart_point_and_line(all_17_1, all_17_4) = v2 &
% 20.80/3.75  |           distinct_lines(all_17_4, all_17_4) = v1 & distinct_points(all_17_1,
% 20.80/3.75  |             all_17_1) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.80/3.75  | 
% 20.80/3.75  | GROUND_INST: instantiating (4) with all_17_5, all_17_4, all_17_2, simplifying
% 20.80/3.75  |              with (16), (17), (25) gives:
% 20.80/3.75  |   (34)   ? [v0: any] :  ? [v1: any] : (apart_point_and_line(all_17_2,
% 20.80/3.75  |             all_17_4) = v1 & convergent_lines(all_17_5, all_17_4) = v0 & ( ~
% 20.80/3.75  |             (v1 = 0) |  ~ (v0 = 0)))
% 20.80/3.75  | 
% 20.80/3.75  | GROUND_INST: instantiating (2) with all_17_5, all_17_4, all_17_2, simplifying
% 20.80/3.75  |              with (16), (17), (25) gives:
% 20.80/3.75  |   (35)   ? [v0: any] :  ? [v1: any] : (apart_point_and_line(all_17_2,
% 20.80/3.75  |             all_17_5) = v1 & convergent_lines(all_17_5, all_17_4) = v0 & ( ~
% 20.80/3.75  |             (v1 = 0) |  ~ (v0 = 0)))
% 20.80/3.75  | 
% 20.80/3.75  | GROUND_INST: instantiating (4) with all_17_5, all_17_3, all_17_1, simplifying
% 20.80/3.75  |              with (16), (18), (26) gives:
% 20.80/3.75  |   (36)   ? [v0: any] :  ? [v1: any] : (apart_point_and_line(all_17_1,
% 20.80/3.75  |             all_17_3) = v1 & convergent_lines(all_17_5, all_17_3) = v0 & ( ~
% 20.80/3.75  |             (v1 = 0) |  ~ (v0 = 0)))
% 20.80/3.75  | 
% 20.80/3.75  | GROUND_INST: instantiating (2) with all_17_5, all_17_3, all_17_1, simplifying
% 20.80/3.75  |              with (16), (18), (26) gives:
% 20.80/3.75  |   (37)   ? [v0: any] :  ? [v1: any] : (apart_point_and_line(all_17_1,
% 20.80/3.75  |             all_17_5) = v1 & convergent_lines(all_17_5, all_17_3) = v0 & ( ~
% 20.80/3.75  |             (v1 = 0) |  ~ (v0 = 0)))
% 20.80/3.75  | 
% 20.80/3.75  | DELTA: instantiating (37) with fresh symbols all_24_0, all_24_1 gives:
% 20.80/3.75  |   (38)  apart_point_and_line(all_17_1, all_17_5) = all_24_0 &
% 20.80/3.75  |         convergent_lines(all_17_5, all_17_3) = all_24_1 & ( ~ (all_24_0 = 0) |
% 20.80/3.75  |            ~ (all_24_1 = 0))
% 20.80/3.75  | 
% 20.80/3.75  | ALPHA: (38) implies:
% 20.80/3.76  |   (39)  apart_point_and_line(all_17_1, all_17_5) = all_24_0
% 20.80/3.76  | 
% 20.80/3.76  | DELTA: instantiating (34) with fresh symbols all_26_0, all_26_1 gives:
% 20.80/3.76  |   (40)  apart_point_and_line(all_17_2, all_17_4) = all_26_0 &
% 20.80/3.76  |         convergent_lines(all_17_5, all_17_4) = all_26_1 & ( ~ (all_26_0 = 0) |
% 20.80/3.76  |            ~ (all_26_1 = 0))
% 20.80/3.76  | 
% 20.80/3.76  | ALPHA: (40) implies:
% 20.80/3.76  |   (41)  convergent_lines(all_17_5, all_17_4) = all_26_1
% 20.80/3.76  |   (42)  apart_point_and_line(all_17_2, all_17_4) = all_26_0
% 20.80/3.76  | 
% 20.80/3.76  | DELTA: instantiating (32) with fresh symbols all_28_0, all_28_1 gives:
% 20.80/3.76  |   (43)   ~ (all_28_0 = 0) & intersection_point(all_17_3, all_17_4) = all_28_1
% 20.80/3.76  |         & apart_point_and_line(all_28_1, all_17_3) = all_28_0 & $i(all_28_1)
% 20.80/3.76  | 
% 20.80/3.76  | ALPHA: (43) implies:
% 20.80/3.76  |   (44)  intersection_point(all_17_3, all_17_4) = all_28_1
% 20.80/3.76  | 
% 21.15/3.76  | DELTA: instantiating (31) with fresh symbols all_30_0, all_30_1 gives:
% 21.15/3.76  |   (45)   ~ (all_30_0 = 0) & intersection_point(all_17_3, all_17_4) = all_30_1
% 21.15/3.76  |         & apart_point_and_line(all_30_1, all_17_4) = all_30_0 & $i(all_30_1)
% 21.15/3.76  | 
% 21.15/3.76  | ALPHA: (45) implies:
% 21.15/3.76  |   (46)   ~ (all_30_0 = 0)
% 21.15/3.76  |   (47)  $i(all_30_1)
% 21.15/3.76  |   (48)  apart_point_and_line(all_30_1, all_17_4) = all_30_0
% 21.15/3.76  |   (49)  intersection_point(all_17_3, all_17_4) = all_30_1
% 21.15/3.76  | 
% 21.15/3.76  | DELTA: instantiating (36) with fresh symbols all_32_0, all_32_1 gives:
% 21.15/3.76  |   (50)  apart_point_and_line(all_17_1, all_17_3) = all_32_0 &
% 21.15/3.76  |         convergent_lines(all_17_5, all_17_3) = all_32_1 & ( ~ (all_32_0 = 0) |
% 21.15/3.76  |            ~ (all_32_1 = 0))
% 21.15/3.76  | 
% 21.15/3.76  | ALPHA: (50) implies:
% 21.15/3.76  |   (51)  convergent_lines(all_17_5, all_17_3) = all_32_1
% 21.15/3.76  |   (52)  apart_point_and_line(all_17_1, all_17_3) = all_32_0
% 21.15/3.76  |   (53)   ~ (all_32_0 = 0) |  ~ (all_32_1 = 0)
% 21.15/3.76  | 
% 21.15/3.76  | DELTA: instantiating (35) with fresh symbols all_34_0, all_34_1 gives:
% 21.15/3.76  |   (54)  apart_point_and_line(all_17_2, all_17_5) = all_34_0 &
% 21.15/3.76  |         convergent_lines(all_17_5, all_17_4) = all_34_1 & ( ~ (all_34_0 = 0) |
% 21.15/3.76  |            ~ (all_34_1 = 0))
% 21.15/3.76  | 
% 21.15/3.76  | ALPHA: (54) implies:
% 21.15/3.76  |   (55)  convergent_lines(all_17_5, all_17_4) = all_34_1
% 21.15/3.76  |   (56)  apart_point_and_line(all_17_2, all_17_5) = all_34_0
% 21.15/3.76  | 
% 21.15/3.76  | DELTA: instantiating (30) with fresh symbols all_36_0, all_36_1 gives:
% 21.15/3.76  |   (57)   ~ (all_36_0 = 0) & intersection_point(all_17_5, all_17_3) = all_36_1
% 21.15/3.76  |         & apart_point_and_line(all_36_1, all_17_5) = all_36_0 & $i(all_36_1)
% 21.15/3.76  | 
% 21.15/3.76  | ALPHA: (57) implies:
% 21.15/3.76  |   (58)   ~ (all_36_0 = 0)
% 21.15/3.76  |   (59)  $i(all_36_1)
% 21.15/3.76  |   (60)  apart_point_and_line(all_36_1, all_17_5) = all_36_0
% 21.15/3.76  |   (61)  intersection_point(all_17_5, all_17_3) = all_36_1
% 21.15/3.76  | 
% 21.15/3.76  | DELTA: instantiating (29) with fresh symbols all_38_0, all_38_1 gives:
% 21.15/3.76  |   (62)   ~ (all_38_0 = 0) & intersection_point(all_17_5, all_17_3) = all_38_1
% 21.15/3.76  |         & apart_point_and_line(all_38_1, all_17_3) = all_38_0 & $i(all_38_1)
% 21.15/3.76  | 
% 21.15/3.76  | ALPHA: (62) implies:
% 21.15/3.76  |   (63)   ~ (all_38_0 = 0)
% 21.15/3.76  |   (64)  apart_point_and_line(all_38_1, all_17_3) = all_38_0
% 21.15/3.76  |   (65)  intersection_point(all_17_5, all_17_3) = all_38_1
% 21.15/3.76  | 
% 21.15/3.76  | DELTA: instantiating (28) with fresh symbols all_40_0, all_40_1 gives:
% 21.15/3.76  |   (66)   ~ (all_40_0 = 0) & intersection_point(all_17_5, all_17_4) = all_40_1
% 21.15/3.76  |         & apart_point_and_line(all_40_1, all_17_5) = all_40_0 & $i(all_40_1)
% 21.15/3.76  | 
% 21.15/3.76  | ALPHA: (66) implies:
% 21.15/3.76  |   (67)   ~ (all_40_0 = 0)
% 21.15/3.76  |   (68)  $i(all_40_1)
% 21.15/3.76  |   (69)  apart_point_and_line(all_40_1, all_17_5) = all_40_0
% 21.15/3.76  |   (70)  intersection_point(all_17_5, all_17_4) = all_40_1
% 21.15/3.76  | 
% 21.15/3.76  | DELTA: instantiating (27) with fresh symbols all_42_0, all_42_1 gives:
% 21.15/3.76  |   (71)   ~ (all_42_0 = 0) & intersection_point(all_17_5, all_17_4) = all_42_1
% 21.15/3.76  |         & apart_point_and_line(all_42_1, all_17_4) = all_42_0 & $i(all_42_1)
% 21.15/3.76  | 
% 21.15/3.76  | ALPHA: (71) implies:
% 21.15/3.76  |   (72)   ~ (all_42_0 = 0)
% 21.15/3.76  |   (73)  apart_point_and_line(all_42_1, all_17_4) = all_42_0
% 21.15/3.76  |   (74)  intersection_point(all_17_5, all_17_4) = all_42_1
% 21.15/3.76  | 
% 21.15/3.76  | BETA: splitting (33) gives:
% 21.15/3.76  | 
% 21.15/3.76  | Case 1:
% 21.15/3.76  | | 
% 21.15/3.76  | |   (75)  all_17_0 = 0
% 21.15/3.76  | | 
% 21.15/3.76  | | REDUCE: (15), (75) imply:
% 21.15/3.76  | |   (76)  $false
% 21.15/3.77  | | 
% 21.15/3.77  | | CLOSE: (76) is inconsistent.
% 21.15/3.77  | | 
% 21.15/3.77  | Case 2:
% 21.15/3.77  | | 
% 21.15/3.77  | |   (77)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3: any] :
% 21.15/3.77  | |         (apart_point_and_line(all_17_1, all_17_4) = v3 &
% 21.15/3.77  | |           apart_point_and_line(all_17_1, all_17_4) = v2 &
% 21.15/3.77  | |           distinct_lines(all_17_4, all_17_4) = v1 &
% 21.15/3.77  | |           distinct_points(all_17_1, all_17_1) = v0 & ( ~ (v1 = 0) |  ~ (v0 =
% 21.15/3.77  | |               0) | v3 = 0 | v2 = 0))
% 21.15/3.77  | | 
% 21.15/3.77  | | DELTA: instantiating (77) with fresh symbols all_48_0, all_48_1, all_48_2,
% 21.15/3.77  | |        all_48_3 gives:
% 21.15/3.77  | |   (78)  apart_point_and_line(all_17_1, all_17_4) = all_48_0 &
% 21.15/3.77  | |         apart_point_and_line(all_17_1, all_17_4) = all_48_1 &
% 21.15/3.77  | |         distinct_lines(all_17_4, all_17_4) = all_48_2 &
% 21.15/3.77  | |         distinct_points(all_17_1, all_17_1) = all_48_3 & ( ~ (all_48_2 = 0)
% 21.15/3.77  | |           |  ~ (all_48_3 = 0) | all_48_0 = 0 | all_48_1 = 0)
% 21.15/3.77  | | 
% 21.15/3.77  | | ALPHA: (78) implies:
% 21.15/3.77  | |   (79)  apart_point_and_line(all_17_1, all_17_4) = all_48_1
% 21.15/3.77  | |   (80)  apart_point_and_line(all_17_1, all_17_4) = all_48_0
% 21.15/3.77  | | 
% 21.15/3.77  | | GROUND_INST: instantiating (11) with 0, all_34_1, all_17_4, all_17_5,
% 21.15/3.77  | |              simplifying with (20), (55) gives:
% 21.15/3.77  | |   (81)  all_34_1 = 0
% 21.15/3.77  | | 
% 21.20/3.77  | | GROUND_INST: instantiating (11) with all_26_1, all_34_1, all_17_4, all_17_5,
% 21.20/3.77  | |              simplifying with (41), (55) gives:
% 21.20/3.77  | |   (82)  all_34_1 = all_26_1
% 21.20/3.77  | | 
% 21.20/3.77  | | GROUND_INST: instantiating (11) with 0, all_32_1, all_17_3, all_17_5,
% 21.20/3.77  | |              simplifying with (21), (51) gives:
% 21.20/3.77  | |   (83)  all_32_1 = 0
% 21.20/3.77  | | 
% 21.20/3.77  | | GROUND_INST: instantiating (12) with all_17_0, all_48_0, all_17_4, all_17_1,
% 21.20/3.77  | |              simplifying with (24), (80) gives:
% 21.20/3.77  | |   (84)  all_48_0 = all_17_0
% 21.20/3.77  | | 
% 21.20/3.77  | | GROUND_INST: instantiating (12) with all_48_1, all_48_0, all_17_4, all_17_1,
% 21.20/3.77  | |              simplifying with (79), (80) gives:
% 21.20/3.77  | |   (85)  all_48_0 = all_48_1
% 21.20/3.77  | | 
% 21.20/3.77  | | GROUND_INST: instantiating (13) with all_17_2, all_42_1, all_17_4, all_17_5,
% 21.20/3.77  | |              simplifying with (25), (74) gives:
% 21.20/3.77  | |   (86)  all_42_1 = all_17_2
% 21.20/3.77  | | 
% 21.20/3.77  | | GROUND_INST: instantiating (13) with all_40_1, all_42_1, all_17_4, all_17_5,
% 21.20/3.77  | |              simplifying with (70), (74) gives:
% 21.20/3.77  | |   (87)  all_42_1 = all_40_1
% 21.20/3.77  | | 
% 21.20/3.77  | | GROUND_INST: instantiating (13) with all_17_1, all_38_1, all_17_3, all_17_5,
% 21.20/3.77  | |              simplifying with (26), (65) gives:
% 21.20/3.77  | |   (88)  all_38_1 = all_17_1
% 21.20/3.77  | | 
% 21.20/3.77  | | GROUND_INST: instantiating (13) with all_36_1, all_38_1, all_17_3, all_17_5,
% 21.20/3.77  | |              simplifying with (61), (65) gives:
% 21.20/3.77  | |   (89)  all_38_1 = all_36_1
% 21.20/3.77  | | 
% 21.20/3.77  | | GROUND_INST: instantiating (13) with all_28_1, all_30_1, all_17_4, all_17_3,
% 21.20/3.77  | |              simplifying with (44), (49) gives:
% 21.20/3.77  | |   (90)  all_30_1 = all_28_1
% 21.20/3.77  | | 
% 21.20/3.77  | | COMBINE_EQS: (84), (85) imply:
% 21.20/3.77  | |   (91)  all_48_1 = all_17_0
% 21.20/3.77  | | 
% 21.20/3.77  | | SIMP: (91) implies:
% 21.20/3.77  | |   (92)  all_48_1 = all_17_0
% 21.20/3.77  | | 
% 21.20/3.77  | | COMBINE_EQS: (86), (87) imply:
% 21.20/3.77  | |   (93)  all_40_1 = all_17_2
% 21.20/3.77  | | 
% 21.20/3.77  | | SIMP: (93) implies:
% 21.20/3.77  | |   (94)  all_40_1 = all_17_2
% 21.20/3.77  | | 
% 21.20/3.77  | | COMBINE_EQS: (88), (89) imply:
% 21.20/3.77  | |   (95)  all_36_1 = all_17_1
% 21.20/3.77  | | 
% 21.20/3.77  | | COMBINE_EQS: (81), (82) imply:
% 21.20/3.77  | |   (96)  all_26_1 = 0
% 21.20/3.77  | | 
% 21.20/3.77  | | REDUCE: (73), (86) imply:
% 21.20/3.77  | |   (97)  apart_point_and_line(all_17_2, all_17_4) = all_42_0
% 21.20/3.77  | | 
% 21.20/3.77  | | REDUCE: (69), (94) imply:
% 21.20/3.77  | |   (98)  apart_point_and_line(all_17_2, all_17_5) = all_40_0
% 21.20/3.77  | | 
% 21.20/3.77  | | REDUCE: (64), (88) imply:
% 21.20/3.77  | |   (99)  apart_point_and_line(all_17_1, all_17_3) = all_38_0
% 21.20/3.77  | | 
% 21.20/3.78  | | REDUCE: (60), (95) imply:
% 21.20/3.78  | |   (100)  apart_point_and_line(all_17_1, all_17_5) = all_36_0
% 21.20/3.78  | | 
% 21.20/3.78  | | REDUCE: (48), (90) imply:
% 21.20/3.78  | |   (101)  apart_point_and_line(all_28_1, all_17_4) = all_30_0
% 21.20/3.78  | | 
% 21.20/3.78  | | REDUCE: (68), (94) imply:
% 21.20/3.78  | |   (102)  $i(all_17_2)
% 21.20/3.78  | | 
% 21.20/3.78  | | REDUCE: (47), (90) imply:
% 21.20/3.78  | |   (103)  $i(all_28_1)
% 21.20/3.78  | | 
% 21.20/3.78  | | BETA: splitting (53) gives:
% 21.20/3.78  | | 
% 21.20/3.78  | | Case 1:
% 21.20/3.78  | | | 
% 21.20/3.78  | | | 
% 21.20/3.78  | | | GROUND_INST: instantiating (12) with all_34_0, all_40_0, all_17_5,
% 21.20/3.78  | | |              all_17_2, simplifying with (56), (98) gives:
% 21.20/3.78  | | |   (104)  all_40_0 = all_34_0
% 21.20/3.78  | | | 
% 21.20/3.78  | | | GROUND_INST: instantiating (12) with all_26_0, all_42_0, all_17_4,
% 21.20/3.78  | | |              all_17_2, simplifying with (42), (97) gives:
% 21.20/3.78  | | |   (105)  all_42_0 = all_26_0
% 21.20/3.78  | | | 
% 21.20/3.78  | | | GROUND_INST: instantiating (12) with all_24_0, all_36_0, all_17_5,
% 21.20/3.78  | | |              all_17_1, simplifying with (39), (100) gives:
% 21.20/3.78  | | |   (106)  all_36_0 = all_24_0
% 21.20/3.78  | | | 
% 21.20/3.78  | | | GROUND_INST: instantiating (12) with all_32_0, all_38_0, all_17_3,
% 21.20/3.78  | | |              all_17_1, simplifying with (52), (99) gives:
% 21.20/3.78  | | |   (107)  all_38_0 = all_32_0
% 21.20/3.78  | | | 
% 21.20/3.78  | | | REDUCE: (72), (105) imply:
% 21.20/3.78  | | |   (108)   ~ (all_26_0 = 0)
% 21.20/3.78  | | | 
% 21.20/3.78  | | | REDUCE: (67), (104) imply:
% 21.20/3.78  | | |   (109)   ~ (all_34_0 = 0)
% 21.20/3.78  | | | 
% 21.20/3.78  | | | REDUCE: (63), (107) imply:
% 21.20/3.78  | | |   (110)   ~ (all_32_0 = 0)
% 21.20/3.78  | | | 
% 21.20/3.78  | | | REDUCE: (58), (106) imply:
% 21.20/3.78  | | |   (111)   ~ (all_24_0 = 0)
% 21.20/3.78  | | | 
% 21.20/3.78  | | | GROUND_INST: instantiating (6) with all_17_2, all_17_1, all_17_5,
% 21.20/3.78  | | |              all_17_4, all_34_0, all_17_0, simplifying with (16), (17),
% 21.20/3.78  | | |              (19), (24), (56), (102) gives:
% 21.20/3.78  | | |   (112)  all_34_0 = 0 | all_17_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 21.20/3.78  | | |          [v2: any] :  ? [v3: any] : (apart_point_and_line(all_17_1,
% 21.20/3.78  | | |              all_17_5) = v3 & apart_point_and_line(all_17_2, all_17_4) =
% 21.20/3.78  | | |            v2 & distinct_lines(all_17_5, all_17_4) = v1 &
% 21.20/3.78  | | |            distinct_points(all_17_2, all_17_1) = v0 & ( ~ (v1 = 0) |  ~
% 21.20/3.78  | | |              (v0 = 0) | v3 = 0 | v2 = 0))
% 21.20/3.78  | | | 
% 21.20/3.78  | | | GROUND_INST: instantiating (5) with all_17_2, all_17_1, all_17_4,
% 21.20/3.78  | | |              all_17_5, all_34_0, all_17_0, simplifying with (16), (17),
% 21.20/3.78  | | |              (19), (24), (56), (102) gives:
% 21.20/3.78  | | |   (113)  all_34_0 = 0 | all_17_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 21.20/3.78  | | |          [v2: any] :  ? [v3: any] : (apart_point_and_line(all_17_1,
% 21.20/3.78  | | |              all_17_5) = v3 & apart_point_and_line(all_17_2, all_17_4) =
% 21.20/3.78  | | |            v2 & distinct_lines(all_17_4, all_17_5) = v1 &
% 21.20/3.78  | | |            distinct_points(all_17_2, all_17_1) = v0 & ( ~ (v1 = 0) |  ~
% 21.20/3.78  | | |              (v0 = 0) | v3 = 0 | v2 = 0))
% 21.20/3.78  | | | 
% 21.20/3.78  | | | GROUND_INST: instantiating (6) with all_17_2, all_17_2, all_17_5,
% 21.20/3.78  | | |              all_17_5, all_34_0, all_34_0, simplifying with (16), (56),
% 21.20/3.78  | | |              (102) gives:
% 21.20/3.78  | | |   (114)  all_34_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 21.20/3.78  | | |          [v3: any] : (apart_point_and_line(all_17_2, all_17_5) = v3 &
% 21.20/3.78  | | |            apart_point_and_line(all_17_2, all_17_5) = v2 &
% 21.20/3.78  | | |            distinct_lines(all_17_5, all_17_5) = v1 &
% 21.20/3.78  | | |            distinct_points(all_17_2, all_17_2) = v0 & ( ~ (v1 = 0) |  ~
% 21.20/3.78  | | |              (v0 = 0) | v3 = 0 | v2 = 0))
% 21.20/3.78  | | | 
% 21.20/3.78  | | | GROUND_INST: instantiating (6) with all_17_1, all_17_2, all_17_4,
% 21.20/3.78  | | |              all_17_4, all_17_0, all_26_0, simplifying with (17), (19),
% 21.20/3.78  | | |              (24), (42), (102) gives:
% 21.20/3.79  | | |   (115)  all_26_0 = 0 | all_17_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 21.20/3.79  | | |          [v2: any] :  ? [v3: any] : (apart_point_and_line(all_17_1,
% 21.20/3.79  | | |              all_17_4) = v2 & apart_point_and_line(all_17_2, all_17_4) =
% 21.20/3.79  | | |            v3 & distinct_lines(all_17_4, all_17_4) = v1 &
% 21.20/3.79  | | |            distinct_points(all_17_1, all_17_2) = v0 & ( ~ (v1 = 0) |  ~
% 21.20/3.79  | | |              (v0 = 0) | v3 = 0 | v2 = 0))
% 21.20/3.79  | | | 
% 21.20/3.79  | | | GROUND_INST: instantiating (6) with all_17_2, all_17_2, all_17_5,
% 21.20/3.79  | | |              all_17_4, all_34_0, all_26_0, simplifying with (16), (17),
% 21.20/3.79  | | |              (42), (56), (102) gives:
% 21.20/3.79  | | |   (116)  all_34_0 = 0 | all_26_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 21.20/3.79  | | |          [v2: any] :  ? [v3: any] : (apart_point_and_line(all_17_2,
% 21.20/3.79  | | |              all_17_4) = v2 & apart_point_and_line(all_17_2, all_17_5) =
% 21.20/3.79  | | |            v3 & distinct_lines(all_17_5, all_17_4) = v1 &
% 21.20/3.79  | | |            distinct_points(all_17_2, all_17_2) = v0 & ( ~ (v1 = 0) |  ~
% 21.20/3.79  | | |              (v0 = 0) | v3 = 0 | v2 = 0))
% 21.20/3.79  | | | 
% 21.20/3.79  | | | GROUND_INST: instantiating (6) with all_17_1, all_17_1, all_17_5,
% 21.20/3.79  | | |              all_17_4, all_24_0, all_17_0, simplifying with (16), (17),
% 21.20/3.79  | | |              (19), (24), (39) gives:
% 21.20/3.79  | | |   (117)  all_24_0 = 0 | all_17_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 21.20/3.79  | | |          [v2: any] :  ? [v3: any] : (apart_point_and_line(all_17_1,
% 21.20/3.79  | | |              all_17_4) = v2 & apart_point_and_line(all_17_1, all_17_5) =
% 21.20/3.79  | | |            v3 & distinct_lines(all_17_5, all_17_4) = v1 &
% 21.20/3.79  | | |            distinct_points(all_17_1, all_17_1) = v0 & ( ~ (v1 = 0) |  ~
% 21.20/3.79  | | |              (v0 = 0) | v3 = 0 | v2 = 0))
% 21.20/3.79  | | | 
% 21.20/3.80  | | | GROUND_INST: instantiating (5) with all_17_1, all_17_1, all_17_5,
% 21.20/3.80  | | |              all_17_4, all_17_0, all_24_0, simplifying with (16), (17),
% 21.20/3.80  | | |              (19), (24), (39) gives:
% 21.20/3.80  | | |   (118)  all_24_0 = 0 | all_17_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 21.20/3.80  | | |          [v2: any] :  ? [v3: any] : (apart_point_and_line(all_17_1,
% 21.20/3.80  | | |              all_17_4) = v3 & apart_point_and_line(all_17_1, all_17_5) =
% 21.20/3.80  | | |            v2 & distinct_lines(all_17_5, all_17_4) = v1 &
% 21.20/3.80  | | |            distinct_points(all_17_1, all_17_1) = v0 & ( ~ (v1 = 0) |  ~
% 21.20/3.80  | | |              (v0 = 0) | v3 = 0 | v2 = 0))
% 21.20/3.80  | | | 
% 21.20/3.81  | | | GROUND_INST: instantiating (5) with all_17_1, all_17_1, all_17_4,
% 21.20/3.81  | | |              all_17_5, all_24_0, all_17_0, simplifying with (16), (17),
% 21.20/3.81  | | |              (19), (24), (39) gives:
% 21.20/3.81  | | |   (119)  all_24_0 = 0 | all_17_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 21.20/3.81  | | |          [v2: any] :  ? [v3: any] : (apart_point_and_line(all_17_1,
% 21.20/3.81  | | |              all_17_4) = v2 & apart_point_and_line(all_17_1, all_17_5) =
% 21.20/3.81  | | |            v3 & distinct_lines(all_17_4, all_17_5) = v1 &
% 21.20/3.81  | | |            distinct_points(all_17_1, all_17_1) = v0 & ( ~ (v1 = 0) |  ~
% 21.20/3.81  | | |              (v0 = 0) | v3 = 0 | v2 = 0))
% 21.20/3.81  | | | 
% 21.20/3.81  | | | GROUND_INST: instantiating (6) with all_17_2, all_17_1, all_17_4,
% 21.20/3.81  | | |              all_17_5, all_26_0, all_24_0, simplifying with (16), (17),
% 21.20/3.81  | | |              (19), (39), (42), (102) gives:
% 21.20/3.81  | | |   (120)  all_26_0 = 0 | all_24_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 21.20/3.81  | | |          [v2: any] :  ? [v3: any] : (apart_point_and_line(all_17_1,
% 21.20/3.81  | | |              all_17_4) = v3 & apart_point_and_line(all_17_2, all_17_5) =
% 21.20/3.81  | | |            v2 & distinct_lines(all_17_4, all_17_5) = v1 &
% 21.20/3.81  | | |            distinct_points(all_17_2, all_17_1) = v0 & ( ~ (v1 = 0) |  ~
% 21.20/3.81  | | |              (v0 = 0) | v3 = 0 | v2 = 0))
% 21.20/3.81  | | | 
% 21.41/3.81  | | | GROUND_INST: instantiating (5) with all_17_2, all_17_1, all_17_5,
% 21.41/3.81  | | |              all_17_4, all_26_0, all_24_0, simplifying with (16), (17),
% 21.41/3.81  | | |              (19), (39), (42), (102) gives:
% 21.41/3.81  | | |   (121)  all_26_0 = 0 | all_24_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 21.41/3.81  | | |          [v2: any] :  ? [v3: any] : (apart_point_and_line(all_17_1,
% 21.41/3.81  | | |              all_17_4) = v3 & apart_point_and_line(all_17_2, all_17_5) =
% 21.41/3.81  | | |            v2 & distinct_lines(all_17_5, all_17_4) = v1 &
% 21.41/3.81  | | |            distinct_points(all_17_2, all_17_1) = v0 & ( ~ (v1 = 0) |  ~
% 21.41/3.81  | | |              (v0 = 0) | v3 = 0 | v2 = 0))
% 21.41/3.81  | | | 
% 21.41/3.81  | | | GROUND_INST: instantiating (6) with all_17_1, all_17_2, all_17_5,
% 21.41/3.81  | | |              all_17_5, all_24_0, all_34_0, simplifying with (16), (19),
% 21.41/3.81  | | |              (39), (56), (102) gives:
% 21.41/3.81  | | |   (122)  all_34_0 = 0 | all_24_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 21.41/3.81  | | |          [v2: any] :  ? [v3: any] : (apart_point_and_line(all_17_1,
% 21.41/3.81  | | |              all_17_5) = v2 & apart_point_and_line(all_17_2, all_17_5) =
% 21.41/3.81  | | |            v3 & distinct_lines(all_17_5, all_17_5) = v1 &
% 21.41/3.81  | | |            distinct_points(all_17_1, all_17_2) = v0 & ( ~ (v1 = 0) |  ~
% 21.41/3.81  | | |              (v0 = 0) | v3 = 0 | v2 = 0))
% 21.41/3.81  | | | 
% 21.41/3.81  | | | GROUND_INST: instantiating (7) with all_17_2, all_17_3, all_17_1,
% 21.41/3.81  | | |              all_32_0, simplifying with (18), (19), (23), (52), (102)
% 21.41/3.81  | | |              gives:
% 21.41/3.81  | | |   (123)  all_32_0 = 0 | distinct_points(all_17_2, all_17_1) = 0
% 21.41/3.81  | | | 
% 21.41/3.81  | | | GROUND_INST: instantiating (6) with all_17_2, all_17_1, all_17_4,
% 21.41/3.81  | | |              all_17_3, all_26_0, all_32_0, simplifying with (17), (18),
% 21.41/3.81  | | |              (19), (42), (52), (102) gives:
% 21.41/3.81  | | |   (124)  all_32_0 = 0 | all_26_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 21.41/3.81  | | |          [v2: any] :  ? [v3: any] : (apart_point_and_line(all_17_1,
% 21.41/3.81  | | |              all_17_4) = v3 & apart_point_and_line(all_17_2, all_17_3) =
% 21.41/3.81  | | |            v2 & distinct_lines(all_17_4, all_17_3) = v1 &
% 21.41/3.81  | | |            distinct_points(all_17_2, all_17_1) = v0 & ( ~ (v1 = 0) |  ~
% 21.41/3.81  | | |              (v0 = 0) | v3 = 0 | v2 = 0))
% 21.41/3.81  | | | 
% 21.41/3.81  | | | GROUND_INST: instantiating (6) with all_17_1, all_17_2, all_17_3,
% 21.41/3.81  | | |              all_17_4, all_32_0, all_26_0, simplifying with (17), (18),
% 21.41/3.81  | | |              (19), (42), (52), (102) gives:
% 21.41/3.82  | | |   (125)  all_32_0 = 0 | all_26_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 21.41/3.82  | | |          [v2: any] :  ? [v3: any] : (apart_point_and_line(all_17_1,
% 21.41/3.82  | | |              all_17_4) = v2 & apart_point_and_line(all_17_2, all_17_3) =
% 21.41/3.82  | | |            v3 & distinct_lines(all_17_3, all_17_4) = v1 &
% 21.41/3.82  | | |            distinct_points(all_17_1, all_17_2) = v0 & ( ~ (v1 = 0) |  ~
% 21.41/3.82  | | |              (v0 = 0) | v3 = 0 | v2 = 0))
% 21.41/3.82  | | | 
% 21.41/3.82  | | | GROUND_INST: instantiating (6) with all_17_1, all_28_1, all_17_4,
% 21.41/3.82  | | |              all_17_4, all_17_0, all_30_0, simplifying with (17), (19),
% 21.41/3.82  | | |              (24), (101), (103) gives:
% 21.41/3.82  | | |   (126)  all_30_0 = 0 | all_17_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 21.41/3.82  | | |          [v2: any] :  ? [v3: any] : (apart_point_and_line(all_28_1,
% 21.41/3.82  | | |              all_17_4) = v3 & apart_point_and_line(all_17_1, all_17_4) =
% 21.41/3.82  | | |            v2 & distinct_lines(all_17_4, all_17_4) = v1 &
% 21.41/3.82  | | |            distinct_points(all_17_1, all_28_1) = v0 & ( ~ (v1 = 0) |  ~
% 21.41/3.82  | | |              (v0 = 0) | v3 = 0 | v2 = 0))
% 21.41/3.82  | | | 
% 21.41/3.82  | | | GROUND_INST: instantiating (6) with all_17_1, all_28_1, all_17_3,
% 21.41/3.82  | | |              all_17_4, all_32_0, all_30_0, simplifying with (17), (18),
% 21.41/3.82  | | |              (19), (52), (101), (103) gives:
% 21.41/3.82  | | |   (127)  all_32_0 = 0 | all_30_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 21.41/3.82  | | |          [v2: any] :  ? [v3: any] : (apart_point_and_line(all_28_1,
% 21.41/3.82  | | |              all_17_3) = v3 & apart_point_and_line(all_17_1, all_17_4) =
% 21.41/3.82  | | |            v2 & distinct_lines(all_17_3, all_17_4) = v1 &
% 21.41/3.82  | | |            distinct_points(all_17_1, all_28_1) = v0 & ( ~ (v1 = 0) |  ~
% 21.41/3.82  | | |              (v0 = 0) | v3 = 0 | v2 = 0))
% 21.41/3.82  | | | 
% 21.41/3.82  | | | BETA: splitting (123) gives:
% 21.41/3.82  | | | 
% 21.41/3.82  | | | Case 1:
% 21.41/3.82  | | | | 
% 21.41/3.82  | | | |   (128)  distinct_points(all_17_2, all_17_1) = 0
% 21.41/3.82  | | | | 
% 21.41/3.82  | | | | BETA: splitting (114) gives:
% 21.41/3.82  | | | | 
% 21.41/3.82  | | | | Case 1:
% 21.41/3.82  | | | | | 
% 21.41/3.82  | | | | |   (129)  all_34_0 = 0
% 21.41/3.82  | | | | | 
% 21.41/3.82  | | | | | REDUCE: (109), (129) imply:
% 21.41/3.82  | | | | |   (130)  $false
% 21.41/3.82  | | | | | 
% 21.41/3.82  | | | | | CLOSE: (130) is inconsistent.
% 21.41/3.82  | | | | | 
% 21.41/3.82  | | | | Case 2:
% 21.41/3.82  | | | | | 
% 21.41/3.82  | | | | |   (131)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3: any] :
% 21.41/3.82  | | | | |          (apart_point_and_line(all_17_2, all_17_5) = v3 &
% 21.41/3.82  | | | | |            apart_point_and_line(all_17_2, all_17_5) = v2 &
% 21.41/3.82  | | | | |            distinct_lines(all_17_5, all_17_5) = v1 &
% 21.41/3.82  | | | | |            distinct_points(all_17_2, all_17_2) = v0 & ( ~ (v1 = 0) | 
% 21.41/3.82  | | | | |              ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.41/3.82  | | | | | 
% 21.41/3.82  | | | | | DELTA: instantiating (131) with fresh symbols all_114_0, all_114_1,
% 21.41/3.82  | | | | |        all_114_2, all_114_3 gives:
% 21.41/3.82  | | | | |   (132)  apart_point_and_line(all_17_2, all_17_5) = all_114_0 &
% 21.41/3.82  | | | | |          apart_point_and_line(all_17_2, all_17_5) = all_114_1 &
% 21.41/3.82  | | | | |          distinct_lines(all_17_5, all_17_5) = all_114_2 &
% 21.41/3.82  | | | | |          distinct_points(all_17_2, all_17_2) = all_114_3 & ( ~
% 21.41/3.82  | | | | |            (all_114_2 = 0) |  ~ (all_114_3 = 0) | all_114_0 = 0 |
% 21.41/3.82  | | | | |            all_114_1 = 0)
% 21.41/3.82  | | | | | 
% 21.41/3.82  | | | | | ALPHA: (132) implies:
% 21.41/3.82  | | | | |   (133)  apart_point_and_line(all_17_2, all_17_5) = all_114_1
% 21.41/3.82  | | | | |   (134)  apart_point_and_line(all_17_2, all_17_5) = all_114_0
% 21.41/3.82  | | | | | 
% 21.41/3.82  | | | | | BETA: splitting (125) gives:
% 21.41/3.82  | | | | | 
% 21.41/3.82  | | | | | Case 1:
% 21.41/3.82  | | | | | | 
% 21.41/3.82  | | | | | |   (135)  all_32_0 = 0
% 21.41/3.82  | | | | | | 
% 21.41/3.82  | | | | | | REDUCE: (110), (135) imply:
% 21.41/3.82  | | | | | |   (136)  $false
% 21.41/3.82  | | | | | | 
% 21.41/3.82  | | | | | | CLOSE: (136) is inconsistent.
% 21.41/3.82  | | | | | | 
% 21.41/3.82  | | | | | Case 2:
% 21.41/3.82  | | | | | | 
% 21.41/3.82  | | | | | |   (137)  all_26_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 21.41/3.82  | | | | | |           ? [v3: any] : (apart_point_and_line(all_17_1, all_17_4) =
% 21.41/3.82  | | | | | |            v2 & apart_point_and_line(all_17_2, all_17_3) = v3 &
% 21.41/3.82  | | | | | |            distinct_lines(all_17_3, all_17_4) = v1 &
% 21.41/3.82  | | | | | |            distinct_points(all_17_1, all_17_2) = v0 & ( ~ (v1 = 0) |
% 21.41/3.82  | | | | | |               ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.41/3.82  | | | | | | 
% 21.41/3.82  | | | | | | BETA: splitting (113) gives:
% 21.41/3.82  | | | | | | 
% 21.41/3.82  | | | | | | Case 1:
% 21.41/3.82  | | | | | | | 
% 21.41/3.82  | | | | | | |   (138)  all_34_0 = 0
% 21.41/3.82  | | | | | | | 
% 21.41/3.82  | | | | | | | REDUCE: (109), (138) imply:
% 21.41/3.82  | | | | | | |   (139)  $false
% 21.41/3.82  | | | | | | | 
% 21.41/3.82  | | | | | | | CLOSE: (139) is inconsistent.
% 21.41/3.82  | | | | | | | 
% 21.41/3.82  | | | | | | Case 2:
% 21.41/3.82  | | | | | | | 
% 21.41/3.82  | | | | | | |   (140)  all_17_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2: any]
% 21.41/3.82  | | | | | | |          :  ? [v3: any] : (apart_point_and_line(all_17_1,
% 21.41/3.82  | | | | | | |              all_17_5) = v3 & apart_point_and_line(all_17_2,
% 21.41/3.82  | | | | | | |              all_17_4) = v2 & distinct_lines(all_17_4, all_17_5) =
% 21.41/3.82  | | | | | | |            v1 & distinct_points(all_17_2, all_17_1) = v0 & ( ~ (v1
% 21.41/3.82  | | | | | | |                = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.41/3.82  | | | | | | | 
% 21.41/3.82  | | | | | | | BETA: splitting (112) gives:
% 21.41/3.82  | | | | | | | 
% 21.41/3.82  | | | | | | | Case 1:
% 21.41/3.82  | | | | | | | | 
% 21.41/3.82  | | | | | | | |   (141)  all_34_0 = 0
% 21.41/3.82  | | | | | | | | 
% 21.41/3.82  | | | | | | | | REDUCE: (109), (141) imply:
% 21.41/3.82  | | | | | | | |   (142)  $false
% 21.41/3.82  | | | | | | | | 
% 21.41/3.82  | | | | | | | | CLOSE: (142) is inconsistent.
% 21.41/3.82  | | | | | | | | 
% 21.41/3.82  | | | | | | | Case 2:
% 21.41/3.82  | | | | | | | | 
% 21.41/3.83  | | | | | | | |   (143)  all_17_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2:
% 21.41/3.83  | | | | | | | |            any] :  ? [v3: any] : (apart_point_and_line(all_17_1,
% 21.41/3.83  | | | | | | | |              all_17_5) = v3 & apart_point_and_line(all_17_2,
% 21.41/3.83  | | | | | | | |              all_17_4) = v2 & distinct_lines(all_17_5, all_17_4)
% 21.41/3.83  | | | | | | | |            = v1 & distinct_points(all_17_2, all_17_1) = v0 & ( ~
% 21.41/3.83  | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.41/3.83  | | | | | | | | 
% 21.41/3.83  | | | | | | | | BETA: splitting (127) gives:
% 21.41/3.83  | | | | | | | | 
% 21.41/3.83  | | | | | | | | Case 1:
% 21.41/3.83  | | | | | | | | | 
% 21.41/3.83  | | | | | | | | |   (144)  all_32_0 = 0
% 21.41/3.83  | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | REDUCE: (110), (144) imply:
% 21.41/3.83  | | | | | | | | |   (145)  $false
% 21.41/3.83  | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | CLOSE: (145) is inconsistent.
% 21.41/3.83  | | | | | | | | | 
% 21.41/3.83  | | | | | | | | Case 2:
% 21.41/3.83  | | | | | | | | | 
% 21.41/3.83  | | | | | | | | |   (146)  all_30_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2:
% 21.41/3.83  | | | | | | | | |            any] :  ? [v3: any] :
% 21.41/3.83  | | | | | | | | |          (apart_point_and_line(all_28_1, all_17_3) = v3 &
% 21.41/3.83  | | | | | | | | |            apart_point_and_line(all_17_1, all_17_4) = v2 &
% 21.41/3.83  | | | | | | | | |            distinct_lines(all_17_3, all_17_4) = v1 &
% 21.41/3.83  | | | | | | | | |            distinct_points(all_17_1, all_28_1) = v0 & ( ~ (v1
% 21.41/3.83  | | | | | | | | |                = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.41/3.83  | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | BETA: splitting (124) gives:
% 21.41/3.83  | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | Case 1:
% 21.41/3.83  | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | |   (147)  all_32_0 = 0
% 21.41/3.83  | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | REDUCE: (110), (147) imply:
% 21.41/3.83  | | | | | | | | | |   (148)  $false
% 21.41/3.83  | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | CLOSE: (148) is inconsistent.
% 21.41/3.83  | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | Case 2:
% 21.41/3.83  | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | |   (149)  all_26_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 21.41/3.83  | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 21.41/3.83  | | | | | | | | | |          (apart_point_and_line(all_17_1, all_17_4) = v3 &
% 21.41/3.83  | | | | | | | | | |            apart_point_and_line(all_17_2, all_17_3) = v2 &
% 21.41/3.83  | | | | | | | | | |            distinct_lines(all_17_4, all_17_3) = v1 &
% 21.41/3.83  | | | | | | | | | |            distinct_points(all_17_2, all_17_1) = v0 & ( ~
% 21.41/3.83  | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.41/3.83  | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | BETA: splitting (116) gives:
% 21.41/3.83  | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | Case 1:
% 21.41/3.83  | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | |   (150)  all_34_0 = 0
% 21.41/3.83  | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | REDUCE: (109), (150) imply:
% 21.41/3.83  | | | | | | | | | | |   (151)  $false
% 21.41/3.83  | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | CLOSE: (151) is inconsistent.
% 21.41/3.83  | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | Case 2:
% 21.41/3.83  | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | |   (152)  all_26_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 21.41/3.83  | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 21.41/3.83  | | | | | | | | | | |          (apart_point_and_line(all_17_2, all_17_4) = v2 &
% 21.41/3.83  | | | | | | | | | | |            apart_point_and_line(all_17_2, all_17_5) = v3 &
% 21.41/3.83  | | | | | | | | | | |            distinct_lines(all_17_5, all_17_4) = v1 &
% 21.41/3.83  | | | | | | | | | | |            distinct_points(all_17_2, all_17_2) = v0 & ( ~
% 21.41/3.83  | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.41/3.83  | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | BETA: splitting (120) gives:
% 21.41/3.83  | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | Case 1:
% 21.41/3.83  | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | |   (153)  all_26_0 = 0
% 21.41/3.83  | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | REDUCE: (108), (153) imply:
% 21.41/3.83  | | | | | | | | | | | |   (154)  $false
% 21.41/3.83  | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | CLOSE: (154) is inconsistent.
% 21.41/3.83  | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | Case 2:
% 21.41/3.83  | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | |   (155)  all_24_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 21.41/3.83  | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 21.41/3.83  | | | | | | | | | | | |          (apart_point_and_line(all_17_1, all_17_4) = v3 &
% 21.41/3.83  | | | | | | | | | | | |            apart_point_and_line(all_17_2, all_17_5) = v2 &
% 21.41/3.83  | | | | | | | | | | | |            distinct_lines(all_17_4, all_17_5) = v1 &
% 21.41/3.83  | | | | | | | | | | | |            distinct_points(all_17_2, all_17_1) = v0 & ( ~
% 21.41/3.83  | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.41/3.83  | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | BETA: splitting (121) gives:
% 21.41/3.83  | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | Case 1:
% 21.41/3.83  | | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | |   (156)  all_26_0 = 0
% 21.41/3.83  | | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | | REDUCE: (108), (156) imply:
% 21.41/3.83  | | | | | | | | | | | | |   (157)  $false
% 21.41/3.83  | | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | | CLOSE: (157) is inconsistent.
% 21.41/3.83  | | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | Case 2:
% 21.41/3.83  | | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | |   (158)  all_24_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 21.41/3.83  | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 21.41/3.83  | | | | | | | | | | | | |          (apart_point_and_line(all_17_1, all_17_4) = v3 &
% 21.41/3.83  | | | | | | | | | | | | |            apart_point_and_line(all_17_2, all_17_5) = v2 &
% 21.41/3.83  | | | | | | | | | | | | |            distinct_lines(all_17_5, all_17_4) = v1 &
% 21.41/3.83  | | | | | | | | | | | | |            distinct_points(all_17_2, all_17_1) = v0 & ( ~
% 21.41/3.83  | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.41/3.83  | | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | | BETA: splitting (118) gives:
% 21.41/3.83  | | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | | Case 1:
% 21.41/3.83  | | | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | | |   (159)  all_24_0 = 0
% 21.41/3.83  | | | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | | | REDUCE: (111), (159) imply:
% 21.41/3.83  | | | | | | | | | | | | | |   (160)  $false
% 21.41/3.83  | | | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | | | CLOSE: (160) is inconsistent.
% 21.41/3.83  | | | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | | Case 2:
% 21.41/3.83  | | | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | | |   (161)  all_17_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 21.41/3.83  | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 21.41/3.83  | | | | | | | | | | | | | |          (apart_point_and_line(all_17_1, all_17_4) = v3 &
% 21.41/3.83  | | | | | | | | | | | | | |            apart_point_and_line(all_17_1, all_17_5) = v2 &
% 21.41/3.83  | | | | | | | | | | | | | |            distinct_lines(all_17_5, all_17_4) = v1 &
% 21.41/3.83  | | | | | | | | | | | | | |            distinct_points(all_17_1, all_17_1) = v0 & ( ~
% 21.41/3.83  | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.41/3.83  | | | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | | | BETA: splitting (117) gives:
% 21.41/3.83  | | | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | | | Case 1:
% 21.41/3.83  | | | | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | | | |   (162)  all_24_0 = 0
% 21.41/3.83  | | | | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | | | | REDUCE: (111), (162) imply:
% 21.41/3.83  | | | | | | | | | | | | | | |   (163)  $false
% 21.41/3.83  | | | | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | | | | CLOSE: (163) is inconsistent.
% 21.41/3.83  | | | | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | | | Case 2:
% 21.41/3.83  | | | | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | | | |   (164)  all_17_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 21.41/3.83  | | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 21.41/3.83  | | | | | | | | | | | | | | |          (apart_point_and_line(all_17_1, all_17_4) = v2 &
% 21.41/3.83  | | | | | | | | | | | | | | |            apart_point_and_line(all_17_1, all_17_5) = v3 &
% 21.41/3.83  | | | | | | | | | | | | | | |            distinct_lines(all_17_5, all_17_4) = v1 &
% 21.41/3.83  | | | | | | | | | | | | | | |            distinct_points(all_17_1, all_17_1) = v0 & ( ~
% 21.41/3.83  | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.41/3.83  | | | | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | | | | BETA: splitting (126) gives:
% 21.41/3.83  | | | | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | | | | Case 1:
% 21.41/3.83  | | | | | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | | | | |   (165)  all_30_0 = 0
% 21.41/3.83  | | | | | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | | | | | REDUCE: (46), (165) imply:
% 21.41/3.83  | | | | | | | | | | | | | | | |   (166)  $false
% 21.41/3.83  | | | | | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | | | | | CLOSE: (166) is inconsistent.
% 21.41/3.83  | | | | | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | | | | Case 2:
% 21.41/3.83  | | | | | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | | | | |   (167)  all_17_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 21.41/3.83  | | | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 21.41/3.83  | | | | | | | | | | | | | | | |          (apart_point_and_line(all_28_1, all_17_4) = v3 &
% 21.41/3.83  | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_1, all_17_4) = v2 &
% 21.41/3.83  | | | | | | | | | | | | | | | |            distinct_lines(all_17_4, all_17_4) = v1 &
% 21.41/3.83  | | | | | | | | | | | | | | | |            distinct_points(all_17_1, all_28_1) = v0 & ( ~
% 21.41/3.83  | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.41/3.83  | | | | | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 21.41/3.83  | | | | | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | | | | | Case 1:
% 21.41/3.83  | | | | | | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | | | | | |   (168)  all_34_0 = 0
% 21.41/3.83  | | | | | | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | | | | | | REDUCE: (109), (168) imply:
% 21.41/3.83  | | | | | | | | | | | | | | | | |   (169)  $false
% 21.41/3.83  | | | | | | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | | | | | | CLOSE: (169) is inconsistent.
% 21.41/3.83  | | | | | | | | | | | | | | | | | 
% 21.41/3.83  | | | | | | | | | | | | | | | | Case 2:
% 21.41/3.83  | | | | | | | | | | | | | | | | | 
% 21.41/3.84  | | | | | | | | | | | | | | | | |   (170)  all_24_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 21.41/3.84  | | | | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 21.41/3.84  | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_17_1, all_17_5) = v2 &
% 21.41/3.84  | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_2, all_17_5) = v3 &
% 21.41/3.84  | | | | | | | | | | | | | | | | |            distinct_lines(all_17_5, all_17_5) = v1 &
% 21.41/3.84  | | | | | | | | | | | | | | | | |            distinct_points(all_17_1, all_17_2) = v0 & ( ~
% 21.41/3.84  | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.41/3.84  | | | | | | | | | | | | | | | | | 
% 21.41/3.84  | | | | | | | | | | | | | | | | | BETA: splitting (119) gives:
% 21.41/3.84  | | | | | | | | | | | | | | | | | 
% 21.41/3.84  | | | | | | | | | | | | | | | | | Case 1:
% 21.41/3.84  | | | | | | | | | | | | | | | | | | 
% 21.41/3.84  | | | | | | | | | | | | | | | | | |   (171)  all_24_0 = 0
% 21.41/3.84  | | | | | | | | | | | | | | | | | | 
% 21.41/3.84  | | | | | | | | | | | | | | | | | | REDUCE: (111), (171) imply:
% 21.41/3.84  | | | | | | | | | | | | | | | | | |   (172)  $false
% 21.41/3.84  | | | | | | | | | | | | | | | | | | 
% 21.41/3.84  | | | | | | | | | | | | | | | | | | CLOSE: (172) is inconsistent.
% 21.41/3.84  | | | | | | | | | | | | | | | | | | 
% 21.41/3.84  | | | | | | | | | | | | | | | | | Case 2:
% 21.41/3.84  | | | | | | | | | | | | | | | | | | 
% 21.41/3.84  | | | | | | | | | | | | | | | | | |   (173)  all_17_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 21.41/3.84  | | | | | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 21.41/3.84  | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_17_1, all_17_4) = v2 &
% 21.41/3.84  | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_1, all_17_5) = v3 &
% 21.41/3.84  | | | | | | | | | | | | | | | | | |            distinct_lines(all_17_4, all_17_5) = v1 &
% 21.41/3.84  | | | | | | | | | | | | | | | | | |            distinct_points(all_17_1, all_17_1) = v0 & ( ~
% 21.41/3.84  | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.41/3.84  | | | | | | | | | | | | | | | | | | 
% 21.41/3.84  | | | | | | | | | | | | | | | | | | BETA: splitting (115) gives:
% 21.41/3.84  | | | | | | | | | | | | | | | | | | 
% 21.41/3.84  | | | | | | | | | | | | | | | | | | Case 1:
% 21.41/3.84  | | | | | | | | | | | | | | | | | | | 
% 21.41/3.84  | | | | | | | | | | | | | | | | | | |   (174)  all_26_0 = 0
% 21.41/3.84  | | | | | | | | | | | | | | | | | | | 
% 21.41/3.84  | | | | | | | | | | | | | | | | | | | REDUCE: (108), (174) imply:
% 21.41/3.84  | | | | | | | | | | | | | | | | | | |   (175)  $false
% 21.41/3.84  | | | | | | | | | | | | | | | | | | | 
% 21.41/3.84  | | | | | | | | | | | | | | | | | | | CLOSE: (175) is inconsistent.
% 21.41/3.84  | | | | | | | | | | | | | | | | | | | 
% 21.41/3.84  | | | | | | | | | | | | | | | | | | Case 2:
% 21.41/3.84  | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | |   (176)  all_17_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 21.55/3.84  | | | | | | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 21.55/3.84  | | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_17_1, all_17_4) = v2 &
% 21.55/3.84  | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_2, all_17_4) = v3 &
% 21.55/3.84  | | | | | | | | | | | | | | | | | | |            distinct_lines(all_17_4, all_17_4) = v1 &
% 21.55/3.84  | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_1, all_17_2) = v0 & ( ~
% 21.55/3.84  | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | BETA: splitting (137) gives:
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | Case 1:
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | |   (177)  all_26_0 = 0
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (177) imply:
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | |   (178)  $false
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | CLOSE: (178) is inconsistent.
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | Case 2:
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | |   (179)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_17_1,
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | |              all_17_4) = v2 &
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_2, all_17_3) = v3 &
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_17_3, all_17_4) = v1 &
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_1, all_17_2) = v0 & ( ~
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (179) with fresh symbols all_312_0,
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | |        all_312_1, all_312_2, all_312_3 gives:
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | |   (180)  apart_point_and_line(all_17_1, all_17_4) =
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | |          all_312_1 & apart_point_and_line(all_17_2,
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | |            all_17_3) = all_312_0 & distinct_lines(all_17_3,
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | |            all_17_4) = all_312_2 &
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | |          distinct_points(all_17_1, all_17_2) = all_312_3 &
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | |          ( ~ (all_312_2 = 0) |  ~ (all_312_3 = 0) |
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | |            all_312_0 = 0 | all_312_1 = 0)
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | ALPHA: (180) implies:
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | |   (181)  apart_point_and_line(all_17_1, all_17_4) =
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | |          all_312_1
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | BETA: splitting (140) gives:
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | Case 1:
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | |   (182)  all_17_0 = 0
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (182) imply:
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | |   (183)  $false
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | CLOSE: (183) is inconsistent.
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | Case 2:
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | |   (184)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_17_1,
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | |              all_17_5) = v3 &
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_2, all_17_4) = v2 &
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_17_4, all_17_5) = v1 &
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_2, all_17_1) = v0 & ( ~
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (184) with fresh symbols all_317_0,
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | |        all_317_1, all_317_2, all_317_3 gives:
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | |   (185)  apart_point_and_line(all_17_1, all_17_5) =
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | |          all_317_0 & apart_point_and_line(all_17_2,
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | |            all_17_4) = all_317_1 & distinct_lines(all_17_4,
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | |            all_17_5) = all_317_2 &
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_17_2, all_17_1) = all_317_3 &
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_317_2 = 0) |  ~ (all_317_3 = 0) |
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | |            all_317_0 = 0 | all_317_1 = 0)
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | ALPHA: (185) implies:
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | |   (186)  distinct_points(all_17_2, all_17_1) = all_317_3
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | |   (187)  distinct_lines(all_17_4, all_17_5) = all_317_2
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (143) gives:
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | |   (188)  all_17_0 = 0
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (188) imply:
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | |   (189)  $false
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (189) is inconsistent.
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | |   (190)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_17_1,
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | |              all_17_5) = v3 &
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_2, all_17_4) = v2 &
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_17_5, all_17_4) = v1 &
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_2, all_17_1) = v0 & ( ~
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (190) with fresh symbols all_327_0,
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | |        all_327_1, all_327_2, all_327_3 gives:
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | |   (191)  apart_point_and_line(all_17_1, all_17_5) =
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | |          all_327_0 & apart_point_and_line(all_17_2,
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | |            all_17_4) = all_327_1 & distinct_lines(all_17_5,
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | |            all_17_4) = all_327_2 &
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_17_2, all_17_1) = all_327_3 &
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_327_2 = 0) |  ~ (all_327_3 = 0) |
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | |            all_327_0 = 0 | all_327_1 = 0)
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (191) implies:
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | |   (192)  distinct_points(all_17_2, all_17_1) = all_327_3
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (146) gives:
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | |   (193)  all_30_0 = 0
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (193) imply:
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | |   (194)  $false
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (194) is inconsistent.
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | |   (195)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_28_1,
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | |              all_17_3) = v3 &
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_1, all_17_4) = v2 &
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_17_3, all_17_4) = v1 &
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_1, all_28_1) = v0 & ( ~
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (195) with fresh symbols all_342_0,
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | |        all_342_1, all_342_2, all_342_3 gives:
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | |   (196)  apart_point_and_line(all_28_1, all_17_3) =
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | |          all_342_0 & apart_point_and_line(all_17_1,
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | |            all_17_4) = all_342_1 & distinct_lines(all_17_3,
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | |            all_17_4) = all_342_2 &
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_17_1, all_28_1) = all_342_3 &
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_342_2 = 0) |  ~ (all_342_3 = 0) |
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | |            all_342_0 = 0 | all_342_1 = 0)
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (196) implies:
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | |   (197)  apart_point_and_line(all_17_1, all_17_4) =
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | |          all_342_1
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | |   (198)  all_26_0 = 0
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (198) imply:
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | |   (199)  $false
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (199) is inconsistent.
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | |   (200)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_17_1,
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | |              all_17_4) = v3 &
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_2, all_17_3) = v2 &
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_17_4, all_17_3) = v1 &
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_2, all_17_1) = v0 & ( ~
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (200) with fresh symbols all_347_0,
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | |        all_347_1, all_347_2, all_347_3 gives:
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | |   (201)  apart_point_and_line(all_17_1, all_17_4) =
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | |          all_347_0 & apart_point_and_line(all_17_2,
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | |            all_17_3) = all_347_1 & distinct_lines(all_17_4,
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | |            all_17_3) = all_347_2 &
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_17_2, all_17_1) = all_347_3 &
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_347_2 = 0) |  ~ (all_347_3 = 0) |
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | |            all_347_0 = 0 | all_347_1 = 0)
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (201) implies:
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | |   (202)  distinct_points(all_17_2, all_17_1) = all_347_3
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (152) gives:
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (203)  all_26_0 = 0
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (203) imply:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (204)  $false
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (204) is inconsistent.
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (205)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_17_2,
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_4) = v2 &
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_2, all_17_5) = v3 &
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_17_5, all_17_4) = v1 &
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_2, all_17_2) = v0 & ( ~
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (205) with fresh symbols all_357_0,
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | |        all_357_1, all_357_2, all_357_3 gives:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (206)  apart_point_and_line(all_17_2, all_17_4) =
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | |          all_357_1 & apart_point_and_line(all_17_2,
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_5) = all_357_0 & distinct_lines(all_17_5,
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_4) = all_357_2 &
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_17_2, all_17_2) = all_357_3 &
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_357_2 = 0) |  ~ (all_357_3 = 0) |
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | |            all_357_0 = 0 | all_357_1 = 0)
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (206) implies:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (207)  apart_point_and_line(all_17_2, all_17_5) =
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | |          all_357_0
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (155) gives:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (208)  all_24_0 = 0
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (208) imply:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (209)  $false
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (209) is inconsistent.
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (210)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_17_1,
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_4) = v3 &
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_2, all_17_5) = v2 &
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_17_4, all_17_5) = v1 &
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_2, all_17_1) = v0 & ( ~
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (210) with fresh symbols all_372_0,
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | |        all_372_1, all_372_2, all_372_3 gives:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (211)  apart_point_and_line(all_17_1, all_17_4) =
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | |          all_372_0 & apart_point_and_line(all_17_2,
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_5) = all_372_1 & distinct_lines(all_17_4,
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_5) = all_372_2 &
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_17_2, all_17_1) = all_372_3 &
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_372_2 = 0) |  ~ (all_372_3 = 0) |
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_372_0 = 0 | all_372_1 = 0)
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (211) implies:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (212)  distinct_points(all_17_2, all_17_1) = all_372_3
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (213)  distinct_lines(all_17_4, all_17_5) = all_372_2
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (214)  apart_point_and_line(all_17_2, all_17_5) =
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | |          all_372_1
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (215)  apart_point_and_line(all_17_1, all_17_4) =
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | |          all_372_0
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (216)   ~ (all_372_2 = 0) |  ~ (all_372_3 = 0) |
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | |          all_372_0 = 0 | all_372_1 = 0
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (217)  all_24_0 = 0
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (217) imply:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (218)  $false
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (218) is inconsistent.
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (219)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_17_1,
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_4) = v3 &
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_2, all_17_5) = v2 &
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_17_5, all_17_4) = v1 &
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_2, all_17_1) = v0 & ( ~
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (219) with fresh symbols all_377_0,
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_377_1, all_377_2, all_377_3 gives:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (220)  apart_point_and_line(all_17_1, all_17_4) =
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_377_0 & apart_point_and_line(all_17_2,
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_5) = all_377_1 & distinct_lines(all_17_5,
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_4) = all_377_2 &
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_17_2, all_17_1) = all_377_3 &
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_377_2 = 0) |  ~ (all_377_3 = 0) |
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_377_0 = 0 | all_377_1 = 0)
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (220) implies:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (221)  distinct_points(all_17_2, all_17_1) = all_377_3
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (222)  apart_point_and_line(all_17_2, all_17_5) =
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_377_1
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (223)  apart_point_and_line(all_17_1, all_17_4) =
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_377_0
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (224)  all_17_0 = 0
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (224) imply:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (225)  $false
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (225) is inconsistent.
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (226)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_17_1,
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_4) = v3 &
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_1, all_17_5) = v2 &
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_17_5, all_17_4) = v1 &
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_1, all_17_1) = v0 & ( ~
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (226) with fresh symbols all_392_0,
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_392_1, all_392_2, all_392_3 gives:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (227)  apart_point_and_line(all_17_1, all_17_4) =
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_392_0 & apart_point_and_line(all_17_1,
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_5) = all_392_1 & distinct_lines(all_17_5,
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_4) = all_392_2 &
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_17_1, all_17_1) = all_392_3 &
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_392_2 = 0) |  ~ (all_392_3 = 0) |
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_392_0 = 0 | all_392_1 = 0)
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (227) implies:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (228)  apart_point_and_line(all_17_1, all_17_4) =
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_392_0
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (229)  all_17_0 = 0
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (229) imply:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (230)  $false
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (230) is inconsistent.
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (231)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_17_1,
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_4) = v2 &
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_1, all_17_5) = v3 &
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_17_5, all_17_4) = v1 &
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_1, all_17_1) = v0 & ( ~
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (231) with fresh symbols all_397_0,
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_397_1, all_397_2, all_397_3 gives:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (232)  apart_point_and_line(all_17_1, all_17_4) =
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_397_1 & apart_point_and_line(all_17_1,
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_5) = all_397_0 & distinct_lines(all_17_5,
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_4) = all_397_2 &
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_17_1, all_17_1) = all_397_3 &
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_397_2 = 0) |  ~ (all_397_3 = 0) |
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_397_0 = 0 | all_397_1 = 0)
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (232) implies:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (233)  apart_point_and_line(all_17_1, all_17_4) =
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_397_1
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (234)  all_17_0 = 0
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (234) imply:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (235)  $false
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (235) is inconsistent.
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (236)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_28_1,
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_4) = v3 &
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_1, all_17_4) = v2 &
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_17_4, all_17_4) = v1 &
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_1, all_28_1) = v0 & ( ~
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (236) with fresh symbols all_407_0,
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_407_1, all_407_2, all_407_3 gives:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (237)  apart_point_and_line(all_28_1, all_17_4) =
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_407_0 & apart_point_and_line(all_17_1,
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_4) = all_407_1 & distinct_lines(all_17_4,
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_4) = all_407_2 &
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_17_1, all_28_1) = all_407_3 &
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_407_2 = 0) |  ~ (all_407_3 = 0) |
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_407_0 = 0 | all_407_1 = 0)
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (237) implies:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (238)  apart_point_and_line(all_17_1, all_17_4) =
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_407_1
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (170) gives:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (239)  all_24_0 = 0
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (239) imply:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (240)  $false
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (240) is inconsistent.
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (241)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_17_1,
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_5) = v2 &
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_2, all_17_5) = v3 &
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_17_5, all_17_5) = v1 &
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_1, all_17_2) = v0 & ( ~
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (241) with fresh symbols all_412_0,
% 21.55/3.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_412_1, all_412_2, all_412_3 gives:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (242)  apart_point_and_line(all_17_1, all_17_5) =
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_412_1 & apart_point_and_line(all_17_2,
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_5) = all_412_0 & distinct_lines(all_17_5,
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_5) = all_412_2 &
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_17_1, all_17_2) = all_412_3 &
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_412_2 = 0) |  ~ (all_412_3 = 0) |
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_412_0 = 0 | all_412_1 = 0)
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (242) implies:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (243)  apart_point_and_line(all_17_2, all_17_5) =
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_412_0
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (173) gives:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (244)  all_17_0 = 0
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (244) imply:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (245)  $false
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (245) is inconsistent.
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (246)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_17_1,
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_4) = v2 &
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_1, all_17_5) = v3 &
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_17_4, all_17_5) = v1 &
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_1, all_17_1) = v0 & ( ~
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (246) with fresh symbols all_417_0,
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_417_1, all_417_2, all_417_3 gives:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (247)  apart_point_and_line(all_17_1, all_17_4) =
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_417_1 & apart_point_and_line(all_17_1,
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_5) = all_417_0 & distinct_lines(all_17_4,
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_5) = all_417_2 &
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_17_1, all_17_1) = all_417_3 &
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_417_2 = 0) |  ~ (all_417_3 = 0) |
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_417_0 = 0 | all_417_1 = 0)
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (247) implies:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (248)  distinct_lines(all_17_4, all_17_5) = all_417_2
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (249)  apart_point_and_line(all_17_1, all_17_4) =
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_417_1
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (176) gives:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (250)  all_17_0 = 0
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (250) imply:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (251)  $false
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (251) is inconsistent.
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (252)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_17_1,
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_4) = v2 &
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_2, all_17_4) = v3 &
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_17_4, all_17_4) = v1 &
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_1, all_17_2) = v0 & ( ~
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (252) with fresh symbols all_422_0,
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_422_1, all_422_2, all_422_3 gives:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (253)  apart_point_and_line(all_17_1, all_17_4) =
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_422_1 & apart_point_and_line(all_17_2,
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_4) = all_422_0 & distinct_lines(all_17_4,
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_4) = all_422_2 &
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_17_1, all_17_2) = all_422_3 &
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_422_2 = 0) |  ~ (all_422_3 = 0) |
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_422_0 = 0 | all_422_1 = 0)
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (253) implies:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (254)  apart_point_and_line(all_17_1, all_17_4) =
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_422_1
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_347_3, all_372_3,
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_1, all_17_2, simplifying with (202), (212)
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (255)  all_372_3 = all_347_3
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_317_3, all_372_3,
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_1, all_17_2, simplifying with (186), (212)
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  all_372_3 = all_317_3
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_347_3, all_377_3,
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_1, all_17_2, simplifying with (202), (221)
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (257)  all_377_3 = all_347_3
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_327_3, all_377_3,
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_1, all_17_2, simplifying with (192), (221)
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  all_377_3 = all_327_3
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_377_3, all_17_1,
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_2, simplifying with (128), (221) gives:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  all_377_3 = 0
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_372_2, all_417_2,
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_5, all_17_4, simplifying with (213), (248)
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  all_417_2 = all_372_2
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_317_2, all_417_2,
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_5, all_17_4, simplifying with (187), (248)
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)  all_417_2 = all_317_2
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_34_0, all_114_0,
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_5, all_17_2, simplifying with (56), (134)
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  all_114_0 = all_34_0
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_114_0, all_357_0,
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_5, all_17_2, simplifying with (134), (207)
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  all_357_0 = all_114_0
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_357_0, all_372_1,
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_5, all_17_2, simplifying with (207), (214)
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)  all_372_1 = all_357_0
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_372_1, all_377_1,
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_5, all_17_2, simplifying with (214), (222)
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)  all_377_1 = all_372_1
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_377_1, all_412_0,
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_5, all_17_2, simplifying with (222), (243)
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)  all_412_0 = all_377_1
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_114_1, all_412_0,
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_5, all_17_2, simplifying with (133), (243)
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  all_412_0 = all_114_1
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_372_0, all_377_0,
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_4, all_17_1, simplifying with (215), (223)
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)  all_377_0 = all_372_0
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_377_0, all_392_0,
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_4, all_17_1, simplifying with (223), (228)
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  all_392_0 = all_377_0
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_17_0, all_397_1,
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_4, all_17_1, simplifying with (24), (233)
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  all_397_1 = all_17_0
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_377_0, all_397_1,
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_4, all_17_1, simplifying with (223), (233)
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (271)  all_397_1 = all_377_0
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_392_0, all_407_1,
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_4, all_17_1, simplifying with (228), (238)
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)  all_407_1 = all_392_0
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_407_1, all_417_1,
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_4, all_17_1, simplifying with (238), (249)
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (273)  all_417_1 = all_407_1
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_342_1, all_417_1,
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_4, all_17_1, simplifying with (197), (249)
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (274)  all_417_1 = all_342_1
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_372_0, all_422_1,
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_4, all_17_1, simplifying with (215), (254)
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)  all_422_1 = all_372_0
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_312_1, all_422_1,
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_4, all_17_1, simplifying with (181), (254)
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)  all_422_1 = all_312_1
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (276) imply:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)  all_372_0 = all_312_1
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (277) implies:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)  all_372_0 = all_312_1
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (274) imply:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)  all_407_1 = all_342_1
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (279) implies:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)  all_407_1 = all_342_1
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (261) imply:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  all_372_2 = all_317_2
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (267) imply:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)  all_377_1 = all_114_1
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (282) implies:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  all_377_1 = all_114_1
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (280) imply:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  all_392_0 = all_342_1
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (284) implies:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  all_392_0 = all_342_1
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (271) imply:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)  all_377_0 = all_17_0
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (286) implies:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)  all_377_0 = all_17_0
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (285) imply:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  all_377_0 = all_342_1
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (288) implies:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  all_377_0 = all_342_1
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (289) imply:
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  all_342_1 = all_17_0
% 21.55/3.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (289) imply:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  all_372_0 = all_342_1
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (291) implies:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)  all_372_0 = all_342_1
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (283) imply:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)  all_372_1 = all_114_1
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (293) implies:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)  all_372_1 = all_114_1
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (258) imply:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (295)  all_347_3 = all_327_3
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (295) implies:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (296)  all_347_3 = all_327_3
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (259) imply:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (297)  all_327_3 = 0
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (278), (292) imply:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (298)  all_342_1 = all_312_1
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (298) implies:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (299)  all_342_1 = all_312_1
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (294) imply:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  all_357_0 = all_114_1
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (300) implies:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (301)  all_357_0 = all_114_1
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (256) imply:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (302)  all_347_3 = all_317_3
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (302) implies:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  all_347_3 = all_317_3
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (301) imply:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (304)  all_114_0 = all_114_1
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (304) implies:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (305)  all_114_0 = all_114_1
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (296), (303) imply:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (306)  all_327_3 = all_317_3
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (306) implies:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (307)  all_327_3 = all_317_3
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (299) imply:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (308)  all_312_1 = all_17_0
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (308) implies:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (309)  all_312_1 = all_17_0
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (307) imply:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (310)  all_317_3 = 0
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (305) imply:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  all_114_1 = all_34_0
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (310) imply:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (312)  all_372_3 = 0
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (311) imply:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (313)  all_372_1 = all_34_0
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (278), (309) imply:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (314)  all_372_0 = all_17_0
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (315)   ~ (all_372_2 = 0)
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (281), (315) imply:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (316)   ~ (all_317_2 = 0)
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_17_5, all_17_4,
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_5, all_317_2, simplifying with (16), (17),
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (20), (187) gives:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  all_317_2 = 0 | convergent_lines(all_17_5,
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_5) = 0
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (318)  convergent_lines(all_17_5, all_17_5) = 0
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (apart3) with all_17_5, simplifying
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              with (16), (318) gives:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (319)  $false
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (319) is inconsistent.
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (320)  all_317_2 = 0
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (316), (320) imply:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  $false
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (321) is inconsistent.
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (322)   ~ (all_372_3 = 0) | all_372_0 = 0 | all_372_1 = 0
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (323)   ~ (all_372_3 = 0)
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (312), (323) imply:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  $false
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (324) is inconsistent.
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (325)  all_372_0 = 0 | all_372_1 = 0
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (326)  all_372_0 = 0
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (326) imply:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (327)  all_17_0 = 0
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (327) imply:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)  $false
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (328) is inconsistent.
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  all_372_1 = 0
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (329) imply:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)  all_34_0 = 0
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (330) imply:
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)  $false
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (331) is inconsistent.
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | End of split
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | End of split
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | End of split
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | End of split
% 21.55/3.87  | | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | | End of split
% 21.55/3.87  | | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | | End of split
% 21.55/3.87  | | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | | End of split
% 21.55/3.87  | | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | | End of split
% 21.55/3.87  | | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | | End of split
% 21.55/3.87  | | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | | End of split
% 21.55/3.87  | | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | | End of split
% 21.55/3.87  | | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | | End of split
% 21.55/3.87  | | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | | End of split
% 21.55/3.87  | | | | | | | | | | 
% 21.55/3.87  | | | | | | | | | End of split
% 21.55/3.87  | | | | | | | | | 
% 21.55/3.87  | | | | | | | | End of split
% 21.55/3.87  | | | | | | | | 
% 21.55/3.87  | | | | | | | End of split
% 21.55/3.87  | | | | | | | 
% 21.55/3.87  | | | | | | End of split
% 21.55/3.87  | | | | | | 
% 21.55/3.87  | | | | | End of split
% 21.55/3.87  | | | | | 
% 21.55/3.87  | | | | End of split
% 21.55/3.87  | | | | 
% 21.55/3.87  | | | Case 2:
% 21.55/3.87  | | | | 
% 21.55/3.87  | | | |   (332)  all_32_0 = 0
% 21.55/3.87  | | | | 
% 21.55/3.87  | | | | REDUCE: (110), (332) imply:
% 21.55/3.87  | | | |   (333)  $false
% 21.55/3.87  | | | | 
% 21.55/3.87  | | | | CLOSE: (333) is inconsistent.
% 21.55/3.87  | | | | 
% 21.55/3.87  | | | End of split
% 21.55/3.87  | | | 
% 21.55/3.87  | | Case 2:
% 21.55/3.87  | | | 
% 21.55/3.87  | | |   (334)   ~ (all_32_1 = 0)
% 21.55/3.87  | | | 
% 21.55/3.87  | | | REDUCE: (83), (334) imply:
% 21.55/3.87  | | |   (335)  $false
% 21.55/3.87  | | | 
% 21.55/3.87  | | | CLOSE: (335) is inconsistent.
% 21.55/3.87  | | | 
% 21.55/3.87  | | End of split
% 21.55/3.87  | | 
% 21.55/3.87  | End of split
% 21.55/3.87  | 
% 21.55/3.87  End of proof
% 21.55/3.87  % SZS output end Proof for theBenchmark
% 21.55/3.87  
% 21.55/3.87  3265ms
%------------------------------------------------------------------------------