TSTP Solution File: GEO193+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : GEO193+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 : n011.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 13.44s 2.51s
% Output : Proof 20.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO193+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n011.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 19:45:11 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.60 ________ _____
% 0.20/0.60 ___ __ \_________(_)________________________________
% 0.20/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.60
% 0.20/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.60 (2023-06-19)
% 0.20/0.60
% 0.20/0.60 (c) Philipp Rümmer, 2009-2023
% 0.20/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.60 Amanda Stjerna.
% 0.20/0.60 Free software under BSD-3-Clause.
% 0.20/0.60
% 0.20/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.60
% 0.20/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.20/0.62 Running up to 7 provers in parallel.
% 0.20/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.20/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 2.54/1.02 Prover 1: Preprocessing ...
% 2.54/1.02 Prover 4: Preprocessing ...
% 2.64/1.07 Prover 6: Preprocessing ...
% 2.64/1.07 Prover 3: Preprocessing ...
% 2.64/1.07 Prover 2: Preprocessing ...
% 2.64/1.07 Prover 5: Preprocessing ...
% 2.64/1.07 Prover 0: Preprocessing ...
% 4.33/1.30 Prover 5: Proving ...
% 4.33/1.30 Prover 6: Constructing countermodel ...
% 4.33/1.30 Prover 2: Proving ...
% 4.33/1.33 Prover 1: Constructing countermodel ...
% 4.33/1.34 Prover 3: Constructing countermodel ...
% 5.39/1.41 Prover 3: gave up
% 5.39/1.42 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 5.39/1.43 Prover 1: gave up
% 5.39/1.43 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 5.39/1.45 Prover 6: gave up
% 5.39/1.45 Prover 0: Proving ...
% 5.39/1.46 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 5.39/1.46 Prover 7: Preprocessing ...
% 5.39/1.46 Prover 8: Preprocessing ...
% 5.39/1.47 Prover 4: Constructing countermodel ...
% 5.39/1.49 Prover 9: Preprocessing ...
% 5.39/1.50 Prover 7: Warning: ignoring some quantifiers
% 5.39/1.51 Prover 7: Constructing countermodel ...
% 6.15/1.57 Prover 8: Warning: ignoring some quantifiers
% 6.15/1.58 Prover 8: Constructing countermodel ...
% 6.80/1.64 Prover 8: gave up
% 6.80/1.64 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 6.80/1.67 Prover 10: Preprocessing ...
% 6.80/1.67 Prover 9: Constructing countermodel ...
% 7.41/1.69 Prover 10: Warning: ignoring some quantifiers
% 7.41/1.70 Prover 10: Constructing countermodel ...
% 7.41/1.72 Prover 7: gave up
% 7.41/1.73 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 7.41/1.75 Prover 11: Preprocessing ...
% 7.41/1.75 Prover 10: gave up
% 7.41/1.75 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391
% 7.41/1.77 Prover 12: Preprocessing ...
% 9.05/1.93 Prover 12: Proving ...
% 9.05/1.93 Prover 11: Constructing countermodel ...
% 13.44/2.51 Prover 9: proved (1052ms)
% 13.44/2.51
% 13.44/2.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.44/2.51
% 13.44/2.51 Prover 5: stopped
% 13.44/2.51 Prover 12: stopped
% 13.44/2.51 Prover 0: stopped
% 13.44/2.51 Prover 2: stopped
% 13.44/2.51 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 13.44/2.51 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 13.44/2.51 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 13.44/2.53 Prover 13: Preprocessing ...
% 13.44/2.53 Prover 16: Preprocessing ...
% 13.44/2.54 Prover 19: Preprocessing ...
% 13.44/2.55 Prover 16: Warning: ignoring some quantifiers
% 13.44/2.55 Prover 16: Constructing countermodel ...
% 13.44/2.55 Prover 13: Warning: ignoring some quantifiers
% 13.44/2.55 Prover 13: Constructing countermodel ...
% 13.96/2.58 Prover 19: Warning: ignoring some quantifiers
% 13.96/2.59 Prover 19: Constructing countermodel ...
% 13.96/2.61 Prover 19: gave up
% 13.96/2.63 Prover 13: gave up
% 14.99/2.79 Prover 16: gave up
% 18.96/3.47 Prover 4: Found proof (size 395)
% 18.96/3.47 Prover 4: proved (2841ms)
% 18.96/3.47 Prover 11: stopped
% 18.96/3.47
% 18.96/3.47 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.96/3.47
% 18.96/3.52 % SZS output start Proof for theBenchmark
% 18.96/3.53 Assumptions after simplification:
% 18.96/3.53 ---------------------------------
% 18.96/3.53
% 18.96/3.53 (apart3)
% 18.96/3.56 ! [v0: $i] : ( ~ (convergent_lines(v0, v0) = 0) | ~ $i(v0))
% 18.96/3.56
% 18.96/3.56 (ceq1)
% 18.96/3.56 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 =
% 18.96/3.56 0 | v3 = 0 | ~ (apart_point_and_line(v2, v1) = v4) | ~
% 18.96/3.56 (distinct_points(v0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5:
% 18.96/3.56 int] : ( ~ (v5 = 0) & apart_point_and_line(v0, v1) = v5)) & ! [v0: $i] :
% 18.96/3.56 ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 18.96/3.56 (apart_point_and_line(v2, v1) = v3) | ~ (apart_point_and_line(v0, v1) = 0)
% 18.96/3.56 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | distinct_points(v0, v2) = 0) & ! [v0:
% 19.23/3.56 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 19.23/3.56 (apart_point_and_line(v0, v1) = 0) | ~ (distinct_points(v0, v2) = v3) | ~
% 19.23/3.56 $i(v2) | ~ $i(v1) | ~ $i(v0) | apart_point_and_line(v2, v1) = 0)
% 19.23/3.56
% 19.23/3.57 (ceq3)
% 19.23/3.57 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 =
% 19.23/3.57 0 | v3 = 0 | ~ (convergent_lines(v0, v2) = v4) | ~ (distinct_lines(v1, v2)
% 19.23/3.57 = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 = 0) &
% 19.23/3.57 convergent_lines(v0, v1) = v5)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 19.23/3.57 : ! [v3: int] : (v3 = 0 | ~ (convergent_lines(v0, v2) = v3) | ~
% 19.23/3.57 (convergent_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 19.23/3.57 distinct_lines(v1, v2) = 0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 19.23/3.57 [v3: int] : (v3 = 0 | ~ (convergent_lines(v0, v1) = 0) | ~
% 19.23/3.57 (distinct_lines(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 19.23/3.57 convergent_lines(v0, v2) = 0)
% 19.23/3.57
% 19.23/3.57 (ci3)
% 19.23/3.57 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0, v1) =
% 19.23/3.57 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 19.23/3.57 (apart_point_and_line(v2, v0) = v4 & convergent_lines(v0, v1) = v3 & ( ~ (v4
% 19.23/3.57 = 0) | ~ (v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 19.23/3.57 (convergent_lines(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : ?
% 19.23/3.58 [v3: int] : ( ~ (v3 = 0) & intersection_point(v0, v1) = v2 &
% 19.23/3.58 apart_point_and_line(v2, v0) = v3 & $i(v2)))
% 19.23/3.58
% 19.23/3.58 (ci4)
% 19.23/3.58 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0, v1) =
% 19.23/3.58 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 19.23/3.58 (apart_point_and_line(v2, v1) = v4 & convergent_lines(v0, v1) = v3 & ( ~ (v4
% 19.23/3.58 = 0) | ~ (v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 19.23/3.58 (convergent_lines(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : ?
% 19.23/3.58 [v3: int] : ( ~ (v3 = 0) & intersection_point(v0, v1) = v2 &
% 19.23/3.58 apart_point_and_line(v2, v1) = v3 & $i(v2)))
% 19.23/3.58
% 19.23/3.58 (con)
% 19.23/3.58 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 19.23/3.58 int] : ( ~ (v5 = 0) & intersection_point(v2, v1) = v4 &
% 19.23/3.58 intersection_point(v0, v1) = v3 & apart_point_and_line(v4, v0) = v5 &
% 19.23/3.58 apart_point_and_line(v3, v2) = 0 & convergent_lines(v2, v1) = 0 &
% 19.23/3.58 convergent_lines(v0, v2) = 0 & convergent_lines(v0, v1) = 0 & $i(v4) &
% 19.23/3.58 $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 19.23/3.58
% 19.23/3.58 (cu1)
% 19.23/3.60 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5:
% 19.23/3.60 int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = v5) | ~
% 19.23/3.60 (apart_point_and_line(v1, v2) = v4) | ~ (distinct_points(v0, v1) = 0) | ~
% 19.23/3.60 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] :
% 19.23/3.60 ? [v8: any] : (apart_point_and_line(v0, v3) = v8 & apart_point_and_line(v0,
% 19.23/3.60 v2) = v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 =
% 19.23/3.60 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4:
% 19.23/3.60 int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) =
% 19.23/3.60 v5) | ~ (apart_point_and_line(v0, v3) = v4) | ~ (distinct_lines(v2, v3)
% 19.23/3.60 = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ?
% 19.23/3.60 [v7: any] : ? [v8: any] : (apart_point_and_line(v1, v2) = v8 &
% 19.23/3.60 apart_point_and_line(v0, v2) = v7 & distinct_points(v0, v1) = v6 & ( ~ (v6
% 19.23/3.60 = 0) | v8 = 0 | v7 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 19.23/3.60 ! [v3: $i] : ! [v4: int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~
% 19.23/3.60 (apart_point_and_line(v1, v3) = v5) | ~ (apart_point_and_line(v0, v2) = v4)
% 19.23/3.60 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7:
% 19.23/3.60 any] : ? [v8: any] : ? [v9: any] : (apart_point_and_line(v1, v2) = v9 &
% 19.23/3.60 apart_point_and_line(v0, v3) = v8 & distinct_lines(v2, v3) = v7 &
% 19.23/3.60 distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0 | v8 =
% 19.23/3.60 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4:
% 19.23/3.60 int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v2) =
% 19.23/3.60 v5) | ~ (apart_point_and_line(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~
% 19.23/3.60 $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9:
% 19.23/3.60 any] : (apart_point_and_line(v1, v3) = v9 & apart_point_and_line(v0, v2) =
% 19.23/3.60 v8 & distinct_lines(v2, v3) = v7 & distinct_points(v0, v1) = v6 & ( ~ (v7
% 19.23/3.60 = 0) | ~ (v6 = 0) | v9 = 0 | v8 = 0))) & ! [v0: $i] : ! [v1: $i] :
% 19.23/3.60 ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~
% 19.23/3.60 (apart_point_and_line(v1, v2) = v5) | ~ (apart_point_and_line(v0, v2) = v4)
% 19.23/3.60 | ~ (distinct_lines(v2, v3) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 19.23/3.60 $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 19.23/3.60 (apart_point_and_line(v1, v3) = v8 & apart_point_and_line(v0, v3) = v7 &
% 19.23/3.60 distinct_points(v0, v1) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0))) & ! [v0:
% 19.23/3.60 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: int]
% 19.23/3.60 : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v0, v3) = v5) | ~
% 19.23/3.60 (apart_point_and_line(v0, v2) = v4) | ~ (distinct_points(v0, v1) = 0) | ~
% 19.23/3.60 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] :
% 19.23/3.60 ? [v8: any] : (apart_point_and_line(v1, v3) = v8 & apart_point_and_line(v1,
% 19.23/3.60 v2) = v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 =
% 19.23/3.60 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 19.23/3.60 (distinct_lines(v2, v3) = 0) | ~ (distinct_points(v0, v1) = 0) | ~ $i(v3)
% 19.23/3.60 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6:
% 19.23/3.60 any] : ? [v7: any] : (apart_point_and_line(v1, v3) = v7 &
% 19.23/3.60 apart_point_and_line(v1, v2) = v6 & apart_point_and_line(v0, v3) = v5 &
% 19.23/3.60 apart_point_and_line(v0, v2) = v4 & (v7 = 0 | v6 = 0 | v5 = 0 | v4 = 0)))
% 19.23/3.60
% 19.23/3.60 (function-axioms)
% 19.23/3.61 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 19.23/3.61 (intersection_point(v3, v2) = v1) | ~ (intersection_point(v3, v2) = v0)) &
% 19.23/3.61 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 19.23/3.61 (line_connecting(v3, v2) = v1) | ~ (line_connecting(v3, v2) = v0)) & !
% 19.23/3.61 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 19.23/3.61 $i] : (v1 = v0 | ~ (apart_point_and_line(v3, v2) = v1) | ~
% 19.23/3.61 (apart_point_and_line(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 19.23/3.61 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 19.23/3.61 (convergent_lines(v3, v2) = v1) | ~ (convergent_lines(v3, v2) = v0)) & !
% 19.23/3.61 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 19.23/3.61 $i] : (v1 = v0 | ~ (distinct_lines(v3, v2) = v1) | ~ (distinct_lines(v3,
% 19.23/3.61 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 19.23/3.61 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~
% 19.23/3.61 (distinct_points(v3, v2) = v0))
% 19.23/3.61
% 19.23/3.61 Further assumptions not needed in the proof:
% 19.23/3.61 --------------------------------------------
% 19.23/3.61 apart1, apart2, apart4, apart5, ax6, ceq2, ci1, ci2
% 19.23/3.61
% 19.23/3.61 Those formulas are unsatisfiable:
% 19.23/3.61 ---------------------------------
% 19.23/3.61
% 19.23/3.61 Begin of proof
% 19.23/3.61 |
% 19.23/3.61 | ALPHA: (ci3) implies:
% 19.23/3.61 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (convergent_lines(v0, v1) = 0) | ~
% 19.23/3.61 | $i(v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) &
% 19.23/3.61 | intersection_point(v0, v1) = v2 & apart_point_and_line(v2, v0) = v3
% 19.23/3.61 | & $i(v2)))
% 19.23/3.61 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0,
% 19.23/3.61 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 19.23/3.61 | (apart_point_and_line(v2, v0) = v4 & convergent_lines(v0, v1) = v3 &
% 19.23/3.61 | ( ~ (v4 = 0) | ~ (v3 = 0))))
% 19.23/3.61 |
% 19.23/3.61 | ALPHA: (ci4) implies:
% 19.23/3.61 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ (convergent_lines(v0, v1) = 0) | ~
% 19.23/3.61 | $i(v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) &
% 19.23/3.61 | intersection_point(v0, v1) = v2 & apart_point_and_line(v2, v1) = v3
% 19.23/3.61 | & $i(v2)))
% 19.23/3.61 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0,
% 19.23/3.61 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 19.23/3.61 | (apart_point_and_line(v2, v1) = v4 & convergent_lines(v0, v1) = v3 &
% 19.23/3.61 | ( ~ (v4 = 0) | ~ (v3 = 0))))
% 19.23/3.61 |
% 19.23/3.61 | ALPHA: (cu1) implies:
% 19.23/3.61 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 19.23/3.61 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v2) = v5)
% 19.23/3.61 | | ~ (apart_point_and_line(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~
% 19.23/3.62 | $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ?
% 19.23/3.62 | [v9: any] : (apart_point_and_line(v1, v3) = v9 &
% 19.23/3.62 | apart_point_and_line(v0, v2) = v8 & distinct_lines(v2, v3) = v7 &
% 19.23/3.62 | distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0
% 19.23/3.62 | | v8 = 0)))
% 19.23/3.62 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 19.23/3.62 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = v5)
% 19.23/3.62 | | ~ (apart_point_and_line(v0, v2) = v4) | ~ $i(v3) | ~ $i(v2) | ~
% 19.23/3.62 | $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ?
% 19.23/3.62 | [v9: any] : (apart_point_and_line(v1, v2) = v9 &
% 19.23/3.62 | apart_point_and_line(v0, v3) = v8 & distinct_lines(v2, v3) = v7 &
% 19.23/3.62 | distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0
% 19.23/3.62 | | v8 = 0)))
% 19.23/3.62 |
% 19.23/3.62 | ALPHA: (ceq1) implies:
% 19.23/3.62 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 19.23/3.62 | (apart_point_and_line(v2, v1) = v3) | ~ (apart_point_and_line(v0,
% 19.23/3.62 | v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 19.23/3.62 | distinct_points(v0, v2) = 0)
% 19.23/3.62 |
% 19.23/3.62 | ALPHA: (ceq3) implies:
% 19.23/3.62 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 19.23/3.62 | (convergent_lines(v0, v1) = 0) | ~ (distinct_lines(v1, v2) = v3) |
% 19.23/3.62 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | convergent_lines(v0, v2) = 0)
% 19.23/3.62 |
% 19.23/3.62 | ALPHA: (function-axioms) implies:
% 19.23/3.62 | (9) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 19.23/3.62 | ! [v3: $i] : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~
% 19.23/3.62 | (distinct_points(v3, v2) = v0))
% 19.23/3.62 | (10) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 19.23/3.62 | : ! [v3: $i] : (v1 = v0 | ~ (distinct_lines(v3, v2) = v1) | ~
% 19.23/3.62 | (distinct_lines(v3, v2) = v0))
% 19.23/3.62 | (11) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 19.23/3.62 | : ! [v3: $i] : (v1 = v0 | ~ (convergent_lines(v3, v2) = v1) | ~
% 19.23/3.62 | (convergent_lines(v3, v2) = v0))
% 19.23/3.62 | (12) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 19.23/3.62 | : ! [v3: $i] : (v1 = v0 | ~ (apart_point_and_line(v3, v2) = v1) | ~
% 19.23/3.62 | (apart_point_and_line(v3, v2) = v0))
% 19.23/3.62 | (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 19.23/3.62 | (intersection_point(v3, v2) = v1) | ~ (intersection_point(v3, v2) =
% 19.23/3.62 | v0))
% 19.23/3.62 |
% 19.23/3.62 | DELTA: instantiating (con) with fresh symbols all_17_0, all_17_1, all_17_2,
% 19.23/3.62 | all_17_3, all_17_4, all_17_5 gives:
% 19.23/3.62 | (14) ~ (all_17_0 = 0) & intersection_point(all_17_3, all_17_4) = all_17_1
% 19.23/3.62 | & intersection_point(all_17_5, all_17_4) = all_17_2 &
% 19.23/3.62 | apart_point_and_line(all_17_1, all_17_5) = all_17_0 &
% 19.23/3.62 | apart_point_and_line(all_17_2, all_17_3) = 0 &
% 19.23/3.62 | convergent_lines(all_17_3, all_17_4) = 0 & convergent_lines(all_17_5,
% 19.23/3.62 | all_17_3) = 0 & convergent_lines(all_17_5, all_17_4) = 0 &
% 19.23/3.62 | $i(all_17_1) & $i(all_17_2) & $i(all_17_3) & $i(all_17_4) &
% 19.23/3.62 | $i(all_17_5)
% 19.23/3.62 |
% 19.23/3.62 | ALPHA: (14) implies:
% 19.23/3.62 | (15) ~ (all_17_0 = 0)
% 19.23/3.62 | (16) $i(all_17_5)
% 19.23/3.62 | (17) $i(all_17_4)
% 19.23/3.62 | (18) $i(all_17_3)
% 19.23/3.63 | (19) $i(all_17_1)
% 19.23/3.63 | (20) convergent_lines(all_17_5, all_17_4) = 0
% 19.23/3.63 | (21) convergent_lines(all_17_5, all_17_3) = 0
% 19.23/3.63 | (22) convergent_lines(all_17_3, all_17_4) = 0
% 19.23/3.63 | (23) apart_point_and_line(all_17_2, all_17_3) = 0
% 19.23/3.63 | (24) apart_point_and_line(all_17_1, all_17_5) = all_17_0
% 19.23/3.63 | (25) intersection_point(all_17_5, all_17_4) = all_17_2
% 19.23/3.63 | (26) intersection_point(all_17_3, all_17_4) = all_17_1
% 19.23/3.63 |
% 19.88/3.63 | GROUND_INST: instantiating (3) with all_17_5, all_17_4, simplifying with (16),
% 19.88/3.63 | (17), (20) gives:
% 19.88/3.63 | (27) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) &
% 19.88/3.63 | intersection_point(all_17_5, all_17_4) = v0 &
% 19.88/3.63 | apart_point_and_line(v0, all_17_4) = v1 & $i(v0))
% 19.88/3.63 |
% 19.88/3.63 | GROUND_INST: instantiating (1) with all_17_5, all_17_4, simplifying with (16),
% 19.88/3.63 | (17), (20) gives:
% 19.88/3.63 | (28) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) &
% 19.88/3.63 | intersection_point(all_17_5, all_17_4) = v0 &
% 19.88/3.63 | apart_point_and_line(v0, all_17_5) = v1 & $i(v0))
% 19.88/3.63 |
% 19.88/3.63 | GROUND_INST: instantiating (3) with all_17_5, all_17_3, simplifying with (16),
% 19.88/3.63 | (18), (21) gives:
% 19.88/3.63 | (29) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) &
% 19.88/3.63 | intersection_point(all_17_5, all_17_3) = v0 &
% 19.88/3.63 | apart_point_and_line(v0, all_17_3) = v1 & $i(v0))
% 19.88/3.63 |
% 19.88/3.63 | GROUND_INST: instantiating (1) with all_17_5, all_17_3, simplifying with (16),
% 19.88/3.63 | (18), (21) gives:
% 19.88/3.63 | (30) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) &
% 19.88/3.63 | intersection_point(all_17_5, all_17_3) = v0 &
% 19.88/3.63 | apart_point_and_line(v0, all_17_5) = v1 & $i(v0))
% 19.88/3.63 |
% 19.88/3.63 | GROUND_INST: instantiating (3) with all_17_3, all_17_4, simplifying with (17),
% 19.88/3.63 | (18), (22) gives:
% 19.88/3.63 | (31) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) &
% 19.88/3.63 | intersection_point(all_17_3, all_17_4) = v0 &
% 19.88/3.63 | apart_point_and_line(v0, all_17_4) = v1 & $i(v0))
% 19.88/3.63 |
% 19.88/3.63 | GROUND_INST: instantiating (1) with all_17_3, all_17_4, simplifying with (17),
% 19.88/3.63 | (18), (22) gives:
% 19.88/3.63 | (32) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) &
% 19.88/3.63 | intersection_point(all_17_3, all_17_4) = v0 &
% 19.88/3.63 | apart_point_and_line(v0, all_17_3) = v1 & $i(v0))
% 19.88/3.63 |
% 19.88/3.63 | GROUND_INST: instantiating (6) with all_17_1, all_17_1, all_17_5, all_17_5,
% 19.88/3.63 | all_17_0, all_17_0, simplifying with (16), (19), (24) gives:
% 19.88/3.63 | (33) all_17_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3:
% 19.88/3.63 | any] : (apart_point_and_line(all_17_1, all_17_5) = v3 &
% 19.88/3.63 | apart_point_and_line(all_17_1, all_17_5) = v2 &
% 19.88/3.63 | distinct_lines(all_17_5, all_17_5) = v1 & distinct_points(all_17_1,
% 19.88/3.63 | all_17_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 19.88/3.63 |
% 19.88/3.63 | GROUND_INST: instantiating (4) with all_17_5, all_17_4, all_17_2, simplifying
% 19.88/3.63 | with (16), (17), (25) gives:
% 19.88/3.64 | (34) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_17_2,
% 19.88/3.64 | all_17_4) = v1 & convergent_lines(all_17_5, all_17_4) = v0 & ( ~
% 19.88/3.64 | (v1 = 0) | ~ (v0 = 0)))
% 19.88/3.64 |
% 19.88/3.64 | GROUND_INST: instantiating (2) with all_17_5, all_17_4, all_17_2, simplifying
% 19.88/3.64 | with (16), (17), (25) gives:
% 19.88/3.64 | (35) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_17_2,
% 19.88/3.64 | all_17_5) = v1 & convergent_lines(all_17_5, all_17_4) = v0 & ( ~
% 19.88/3.64 | (v1 = 0) | ~ (v0 = 0)))
% 19.88/3.64 |
% 19.88/3.64 | GROUND_INST: instantiating (4) with all_17_3, all_17_4, all_17_1, simplifying
% 19.88/3.64 | with (17), (18), (26) gives:
% 19.88/3.64 | (36) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_17_1,
% 19.88/3.64 | all_17_4) = v1 & convergent_lines(all_17_3, all_17_4) = v0 & ( ~
% 19.88/3.64 | (v1 = 0) | ~ (v0 = 0)))
% 19.88/3.64 |
% 19.88/3.64 | GROUND_INST: instantiating (2) with all_17_3, all_17_4, all_17_1, simplifying
% 19.88/3.64 | with (17), (18), (26) gives:
% 19.88/3.64 | (37) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_17_1,
% 19.88/3.64 | all_17_3) = v1 & convergent_lines(all_17_3, all_17_4) = v0 & ( ~
% 19.88/3.64 | (v1 = 0) | ~ (v0 = 0)))
% 19.88/3.64 |
% 19.88/3.64 | DELTA: instantiating (37) with fresh symbols all_24_0, all_24_1 gives:
% 19.88/3.64 | (38) apart_point_and_line(all_17_1, all_17_3) = all_24_0 &
% 19.88/3.64 | convergent_lines(all_17_3, all_17_4) = all_24_1 & ( ~ (all_24_0 = 0) |
% 19.88/3.64 | ~ (all_24_1 = 0))
% 19.88/3.64 |
% 19.88/3.64 | ALPHA: (38) implies:
% 19.88/3.64 | (39) convergent_lines(all_17_3, all_17_4) = all_24_1
% 19.88/3.64 | (40) apart_point_and_line(all_17_1, all_17_3) = all_24_0
% 19.88/3.64 |
% 19.88/3.64 | DELTA: instantiating (34) with fresh symbols all_26_0, all_26_1 gives:
% 19.88/3.64 | (41) apart_point_and_line(all_17_2, all_17_4) = all_26_0 &
% 19.88/3.64 | convergent_lines(all_17_5, all_17_4) = all_26_1 & ( ~ (all_26_0 = 0) |
% 19.88/3.64 | ~ (all_26_1 = 0))
% 19.88/3.64 |
% 19.88/3.64 | ALPHA: (41) implies:
% 19.88/3.64 | (42) convergent_lines(all_17_5, all_17_4) = all_26_1
% 19.88/3.64 | (43) apart_point_and_line(all_17_2, all_17_4) = all_26_0
% 19.88/3.64 |
% 19.88/3.64 | DELTA: instantiating (32) with fresh symbols all_28_0, all_28_1 gives:
% 19.88/3.64 | (44) ~ (all_28_0 = 0) & intersection_point(all_17_3, all_17_4) = all_28_1
% 19.88/3.64 | & apart_point_and_line(all_28_1, all_17_3) = all_28_0 & $i(all_28_1)
% 19.88/3.64 |
% 19.88/3.64 | ALPHA: (44) implies:
% 19.88/3.64 | (45) ~ (all_28_0 = 0)
% 19.88/3.64 | (46) $i(all_28_1)
% 19.88/3.64 | (47) apart_point_and_line(all_28_1, all_17_3) = all_28_0
% 19.88/3.64 | (48) intersection_point(all_17_3, all_17_4) = all_28_1
% 19.88/3.64 |
% 19.88/3.64 | DELTA: instantiating (31) with fresh symbols all_30_0, all_30_1 gives:
% 19.88/3.64 | (49) ~ (all_30_0 = 0) & intersection_point(all_17_3, all_17_4) = all_30_1
% 19.88/3.64 | & apart_point_and_line(all_30_1, all_17_4) = all_30_0 & $i(all_30_1)
% 19.88/3.64 |
% 19.88/3.64 | ALPHA: (49) implies:
% 19.88/3.64 | (50) apart_point_and_line(all_30_1, all_17_4) = all_30_0
% 19.88/3.64 | (51) intersection_point(all_17_3, all_17_4) = all_30_1
% 19.88/3.64 |
% 19.88/3.64 | DELTA: instantiating (36) with fresh symbols all_32_0, all_32_1 gives:
% 19.88/3.64 | (52) apart_point_and_line(all_17_1, all_17_4) = all_32_0 &
% 19.88/3.64 | convergent_lines(all_17_3, all_17_4) = all_32_1 & ( ~ (all_32_0 = 0) |
% 19.88/3.64 | ~ (all_32_1 = 0))
% 19.88/3.64 |
% 19.88/3.64 | ALPHA: (52) implies:
% 19.88/3.64 | (53) convergent_lines(all_17_3, all_17_4) = all_32_1
% 19.88/3.64 | (54) apart_point_and_line(all_17_1, all_17_4) = all_32_0
% 19.88/3.64 | (55) ~ (all_32_0 = 0) | ~ (all_32_1 = 0)
% 19.88/3.64 |
% 19.88/3.64 | DELTA: instantiating (35) with fresh symbols all_34_0, all_34_1 gives:
% 19.88/3.64 | (56) apart_point_and_line(all_17_2, all_17_5) = all_34_0 &
% 19.88/3.64 | convergent_lines(all_17_5, all_17_4) = all_34_1 & ( ~ (all_34_0 = 0) |
% 19.88/3.64 | ~ (all_34_1 = 0))
% 19.88/3.64 |
% 19.88/3.64 | ALPHA: (56) implies:
% 19.88/3.64 | (57) convergent_lines(all_17_5, all_17_4) = all_34_1
% 19.88/3.64 | (58) apart_point_and_line(all_17_2, all_17_5) = all_34_0
% 19.88/3.64 |
% 19.88/3.64 | DELTA: instantiating (30) with fresh symbols all_36_0, all_36_1 gives:
% 19.88/3.64 | (59) ~ (all_36_0 = 0) & intersection_point(all_17_5, all_17_3) = all_36_1
% 19.88/3.64 | & apart_point_and_line(all_36_1, all_17_5) = all_36_0 & $i(all_36_1)
% 19.88/3.64 |
% 19.88/3.64 | ALPHA: (59) implies:
% 19.88/3.64 | (60) ~ (all_36_0 = 0)
% 19.88/3.65 | (61) apart_point_and_line(all_36_1, all_17_5) = all_36_0
% 19.88/3.65 | (62) intersection_point(all_17_5, all_17_3) = all_36_1
% 19.88/3.65 |
% 19.88/3.65 | DELTA: instantiating (29) with fresh symbols all_38_0, all_38_1 gives:
% 19.88/3.65 | (63) ~ (all_38_0 = 0) & intersection_point(all_17_5, all_17_3) = all_38_1
% 19.88/3.65 | & apart_point_and_line(all_38_1, all_17_3) = all_38_0 & $i(all_38_1)
% 19.88/3.65 |
% 19.88/3.65 | ALPHA: (63) implies:
% 19.88/3.65 | (64) $i(all_38_1)
% 19.88/3.65 | (65) intersection_point(all_17_5, all_17_3) = all_38_1
% 19.88/3.65 |
% 19.88/3.65 | DELTA: instantiating (28) with fresh symbols all_40_0, all_40_1 gives:
% 19.88/3.65 | (66) ~ (all_40_0 = 0) & intersection_point(all_17_5, all_17_4) = all_40_1
% 19.88/3.65 | & apart_point_and_line(all_40_1, all_17_5) = all_40_0 & $i(all_40_1)
% 19.88/3.65 |
% 19.88/3.65 | ALPHA: (66) implies:
% 19.88/3.65 | (67) ~ (all_40_0 = 0)
% 19.88/3.65 | (68) $i(all_40_1)
% 19.88/3.65 | (69) apart_point_and_line(all_40_1, all_17_5) = all_40_0
% 19.88/3.65 | (70) intersection_point(all_17_5, all_17_4) = all_40_1
% 19.88/3.65 |
% 19.88/3.65 | DELTA: instantiating (27) with fresh symbols all_42_0, all_42_1 gives:
% 19.88/3.65 | (71) ~ (all_42_0 = 0) & intersection_point(all_17_5, all_17_4) = all_42_1
% 19.88/3.65 | & apart_point_and_line(all_42_1, all_17_4) = all_42_0 & $i(all_42_1)
% 19.88/3.65 |
% 19.88/3.65 | ALPHA: (71) implies:
% 19.88/3.65 | (72) ~ (all_42_0 = 0)
% 19.88/3.65 | (73) apart_point_and_line(all_42_1, all_17_4) = all_42_0
% 19.88/3.65 | (74) intersection_point(all_17_5, all_17_4) = all_42_1
% 19.88/3.65 |
% 19.88/3.65 | BETA: splitting (33) gives:
% 19.88/3.65 |
% 19.88/3.65 | Case 1:
% 19.88/3.65 | |
% 19.88/3.65 | | (75) all_17_0 = 0
% 19.88/3.65 | |
% 19.88/3.65 | | REDUCE: (15), (75) imply:
% 19.88/3.65 | | (76) $false
% 19.88/3.65 | |
% 19.88/3.65 | | CLOSE: (76) is inconsistent.
% 19.88/3.65 | |
% 19.88/3.65 | Case 2:
% 19.88/3.65 | |
% 19.88/3.65 | | (77) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 19.88/3.65 | | (apart_point_and_line(all_17_1, all_17_5) = v3 &
% 19.88/3.65 | | apart_point_and_line(all_17_1, all_17_5) = v2 &
% 19.88/3.65 | | distinct_lines(all_17_5, all_17_5) = v1 &
% 19.88/3.65 | | distinct_points(all_17_1, all_17_1) = v0 & ( ~ (v1 = 0) | ~ (v0 =
% 19.88/3.65 | | 0) | v3 = 0 | v2 = 0))
% 19.88/3.65 | |
% 19.88/3.65 | | DELTA: instantiating (77) with fresh symbols all_48_0, all_48_1, all_48_2,
% 19.88/3.65 | | all_48_3 gives:
% 19.88/3.65 | | (78) apart_point_and_line(all_17_1, all_17_5) = all_48_0 &
% 19.88/3.65 | | apart_point_and_line(all_17_1, all_17_5) = all_48_1 &
% 19.88/3.65 | | distinct_lines(all_17_5, all_17_5) = all_48_2 &
% 19.88/3.65 | | distinct_points(all_17_1, all_17_1) = all_48_3 & ( ~ (all_48_2 = 0)
% 19.88/3.65 | | | ~ (all_48_3 = 0) | all_48_0 = 0 | all_48_1 = 0)
% 19.88/3.65 | |
% 19.88/3.65 | | ALPHA: (78) implies:
% 19.88/3.65 | | (79) apart_point_and_line(all_17_1, all_17_5) = all_48_1
% 19.88/3.65 | | (80) apart_point_and_line(all_17_1, all_17_5) = all_48_0
% 19.88/3.65 | |
% 19.88/3.65 | | GROUND_INST: instantiating (11) with 0, all_34_1, all_17_4, all_17_5,
% 19.88/3.65 | | simplifying with (20), (57) gives:
% 19.88/3.65 | | (81) all_34_1 = 0
% 19.88/3.65 | |
% 19.88/3.65 | | GROUND_INST: instantiating (11) with all_26_1, all_34_1, all_17_4, all_17_5,
% 19.88/3.65 | | simplifying with (42), (57) gives:
% 19.88/3.65 | | (82) all_34_1 = all_26_1
% 19.88/3.65 | |
% 19.88/3.65 | | GROUND_INST: instantiating (11) with 0, all_32_1, all_17_4, all_17_3,
% 19.88/3.65 | | simplifying with (22), (53) gives:
% 19.88/3.65 | | (83) all_32_1 = 0
% 19.88/3.65 | |
% 19.88/3.65 | | GROUND_INST: instantiating (11) with all_24_1, all_32_1, all_17_4, all_17_3,
% 19.88/3.65 | | simplifying with (39), (53) gives:
% 19.88/3.65 | | (84) all_32_1 = all_24_1
% 19.88/3.65 | |
% 19.88/3.66 | | GROUND_INST: instantiating (12) with all_17_0, all_48_0, all_17_5, all_17_1,
% 19.88/3.66 | | simplifying with (24), (80) gives:
% 19.88/3.66 | | (85) all_48_0 = all_17_0
% 19.88/3.66 | |
% 19.88/3.66 | | GROUND_INST: instantiating (12) with all_48_1, all_48_0, all_17_5, all_17_1,
% 19.88/3.66 | | simplifying with (79), (80) gives:
% 19.88/3.66 | | (86) all_48_0 = all_48_1
% 19.88/3.66 | |
% 19.88/3.66 | | GROUND_INST: instantiating (13) with all_17_2, all_42_1, all_17_4, all_17_5,
% 19.88/3.66 | | simplifying with (25), (74) gives:
% 19.88/3.66 | | (87) all_42_1 = all_17_2
% 19.88/3.66 | |
% 19.88/3.66 | | GROUND_INST: instantiating (13) with all_40_1, all_42_1, all_17_4, all_17_5,
% 19.88/3.66 | | simplifying with (70), (74) gives:
% 19.88/3.66 | | (88) all_42_1 = all_40_1
% 19.88/3.66 | |
% 19.88/3.66 | | GROUND_INST: instantiating (13) with all_36_1, all_38_1, all_17_3, all_17_5,
% 19.88/3.66 | | simplifying with (62), (65) gives:
% 19.88/3.66 | | (89) all_38_1 = all_36_1
% 19.88/3.66 | |
% 19.88/3.66 | | GROUND_INST: instantiating (13) with all_17_1, all_30_1, all_17_4, all_17_3,
% 19.88/3.66 | | simplifying with (26), (51) gives:
% 19.88/3.66 | | (90) all_30_1 = all_17_1
% 19.88/3.66 | |
% 19.88/3.66 | | GROUND_INST: instantiating (13) with all_28_1, all_30_1, all_17_4, all_17_3,
% 19.88/3.66 | | simplifying with (48), (51) gives:
% 19.88/3.66 | | (91) all_30_1 = all_28_1
% 19.88/3.66 | |
% 19.88/3.66 | | COMBINE_EQS: (85), (86) imply:
% 19.88/3.66 | | (92) all_48_1 = all_17_0
% 19.88/3.66 | |
% 19.88/3.66 | | SIMP: (92) implies:
% 19.88/3.66 | | (93) all_48_1 = all_17_0
% 19.88/3.66 | |
% 19.88/3.66 | | COMBINE_EQS: (87), (88) imply:
% 19.88/3.66 | | (94) all_40_1 = all_17_2
% 19.88/3.66 | |
% 19.88/3.66 | | SIMP: (94) implies:
% 19.88/3.66 | | (95) all_40_1 = all_17_2
% 19.88/3.66 | |
% 19.88/3.66 | | COMBINE_EQS: (81), (82) imply:
% 19.88/3.66 | | (96) all_26_1 = 0
% 19.88/3.66 | |
% 19.88/3.66 | | SIMP: (96) implies:
% 19.88/3.66 | | (97) all_26_1 = 0
% 19.88/3.66 | |
% 19.88/3.66 | | COMBINE_EQS: (83), (84) imply:
% 19.88/3.66 | | (98) all_24_1 = 0
% 19.88/3.66 | |
% 19.88/3.66 | | COMBINE_EQS: (90), (91) imply:
% 19.88/3.66 | | (99) all_28_1 = all_17_1
% 19.88/3.66 | |
% 19.88/3.66 | | REDUCE: (73), (87) imply:
% 19.88/3.66 | | (100) apart_point_and_line(all_17_2, all_17_4) = all_42_0
% 19.88/3.66 | |
% 19.88/3.66 | | REDUCE: (69), (95) imply:
% 19.88/3.66 | | (101) apart_point_and_line(all_17_2, all_17_5) = all_40_0
% 19.88/3.66 | |
% 19.88/3.66 | | REDUCE: (50), (90) imply:
% 19.88/3.66 | | (102) apart_point_and_line(all_17_1, all_17_4) = all_30_0
% 19.88/3.66 | |
% 19.88/3.66 | | REDUCE: (47), (99) imply:
% 19.88/3.66 | | (103) apart_point_and_line(all_17_1, all_17_3) = all_28_0
% 19.88/3.66 | |
% 19.88/3.66 | | REDUCE: (68), (95) imply:
% 19.88/3.66 | | (104) $i(all_17_2)
% 19.88/3.66 | |
% 19.88/3.66 | | REDUCE: (64), (89) imply:
% 19.88/3.66 | | (105) $i(all_36_1)
% 19.88/3.66 | |
% 19.88/3.66 | | BETA: splitting (55) gives:
% 19.88/3.66 | |
% 19.88/3.66 | | Case 1:
% 19.88/3.66 | | |
% 19.88/3.66 | | | (106) ~ (all_32_0 = 0)
% 19.88/3.66 | | |
% 19.88/3.66 | | | GROUND_INST: instantiating (12) with all_34_0, all_40_0, all_17_5,
% 19.88/3.66 | | | all_17_2, simplifying with (58), (101) gives:
% 19.88/3.66 | | | (107) all_40_0 = all_34_0
% 19.88/3.66 | | |
% 19.88/3.66 | | | GROUND_INST: instantiating (12) with all_26_0, all_42_0, all_17_4,
% 19.88/3.66 | | | all_17_2, simplifying with (43), (100) gives:
% 19.88/3.66 | | | (108) all_42_0 = all_26_0
% 19.88/3.66 | | |
% 19.88/3.66 | | | GROUND_INST: instantiating (12) with all_32_0, all_30_0, all_17_4,
% 19.88/3.66 | | | all_17_1, simplifying with (54), (102) gives:
% 19.88/3.66 | | | (109) all_32_0 = all_30_0
% 19.88/3.66 | | |
% 19.88/3.66 | | | GROUND_INST: instantiating (12) with all_24_0, all_28_0, all_17_3,
% 19.88/3.66 | | | all_17_1, simplifying with (40), (103) gives:
% 19.88/3.66 | | | (110) all_28_0 = all_24_0
% 20.08/3.66 | | |
% 20.08/3.66 | | | REDUCE: (72), (108) imply:
% 20.08/3.66 | | | (111) ~ (all_26_0 = 0)
% 20.08/3.66 | | |
% 20.08/3.66 | | | REDUCE: (67), (107) imply:
% 20.08/3.66 | | | (112) ~ (all_34_0 = 0)
% 20.08/3.66 | | |
% 20.08/3.66 | | | REDUCE: (106), (109) imply:
% 20.08/3.66 | | | (113) ~ (all_30_0 = 0)
% 20.08/3.66 | | |
% 20.08/3.66 | | | REDUCE: (45), (110) imply:
% 20.08/3.66 | | | (114) ~ (all_24_0 = 0)
% 20.08/3.66 | | |
% 20.08/3.67 | | | GROUND_INST: instantiating (6) with all_17_2, all_17_1, all_17_4,
% 20.08/3.67 | | | all_17_5, all_26_0, all_17_0, simplifying with (16), (17),
% 20.08/3.67 | | | (19), (24), (43), (104) gives:
% 20.08/3.67 | | | (115) all_26_0 = 0 | all_17_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 20.08/3.67 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_1,
% 20.08/3.67 | | | all_17_4) = v3 & apart_point_and_line(all_17_2, all_17_5) =
% 20.08/3.67 | | | v2 & distinct_lines(all_17_4, all_17_5) = v1 &
% 20.08/3.67 | | | distinct_points(all_17_2, all_17_1) = v0 & ( ~ (v1 = 0) | ~
% 20.08/3.67 | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.67 | | |
% 20.08/3.67 | | | GROUND_INST: instantiating (5) with all_17_2, all_17_1, all_17_5,
% 20.08/3.67 | | | all_17_4, all_26_0, all_17_0, simplifying with (16), (17),
% 20.08/3.67 | | | (19), (24), (43), (104) gives:
% 20.08/3.67 | | | (116) all_26_0 = 0 | all_17_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 20.08/3.67 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_1,
% 20.08/3.67 | | | all_17_4) = v3 & apart_point_and_line(all_17_2, all_17_5) =
% 20.08/3.67 | | | v2 & distinct_lines(all_17_5, all_17_4) = v1 &
% 20.08/3.67 | | | distinct_points(all_17_2, all_17_1) = v0 & ( ~ (v1 = 0) | ~
% 20.08/3.67 | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.67 | | |
% 20.08/3.67 | | | GROUND_INST: instantiating (6) with all_17_2, all_17_2, all_17_4,
% 20.08/3.67 | | | all_17_5, all_26_0, all_34_0, simplifying with (16), (17),
% 20.08/3.67 | | | (43), (58), (104) gives:
% 20.08/3.67 | | | (117) all_34_0 = 0 | all_26_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 20.08/3.67 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_2,
% 20.08/3.67 | | | all_17_4) = v3 & apart_point_and_line(all_17_2, all_17_5) =
% 20.08/3.67 | | | v2 & distinct_lines(all_17_4, all_17_5) = v1 &
% 20.08/3.67 | | | distinct_points(all_17_2, all_17_2) = v0 & ( ~ (v1 = 0) | ~
% 20.08/3.67 | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.67 | | |
% 20.08/3.67 | | | GROUND_INST: instantiating (5) with all_17_2, all_17_2, all_17_4,
% 20.08/3.67 | | | all_17_5, all_34_0, all_26_0, simplifying with (16), (17),
% 20.08/3.67 | | | (43), (58), (104) gives:
% 20.08/3.67 | | | (118) all_34_0 = 0 | all_26_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 20.08/3.67 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_2,
% 20.08/3.67 | | | all_17_4) = v2 & apart_point_and_line(all_17_2, all_17_5) =
% 20.08/3.68 | | | v3 & distinct_lines(all_17_4, all_17_5) = v1 &
% 20.08/3.68 | | | distinct_points(all_17_2, all_17_2) = v0 & ( ~ (v1 = 0) | ~
% 20.08/3.68 | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.68 | | |
% 20.08/3.68 | | | GROUND_INST: instantiating (6) with all_17_1, all_17_1, all_17_5,
% 20.08/3.68 | | | all_17_4, all_17_0, all_30_0, simplifying with (16), (17),
% 20.08/3.68 | | | (19), (24), (102) gives:
% 20.08/3.68 | | | (119) all_30_0 = 0 | all_17_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 20.08/3.68 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_1,
% 20.08/3.68 | | | all_17_4) = v2 & apart_point_and_line(all_17_1, all_17_5) =
% 20.08/3.68 | | | v3 & distinct_lines(all_17_5, all_17_4) = v1 &
% 20.08/3.68 | | | distinct_points(all_17_1, all_17_1) = v0 & ( ~ (v1 = 0) | ~
% 20.08/3.68 | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.68 | | |
% 20.08/3.68 | | | GROUND_INST: instantiating (6) with all_17_1, all_17_1, all_17_4,
% 20.08/3.68 | | | all_17_5, all_30_0, all_17_0, simplifying with (16), (17),
% 20.08/3.68 | | | (19), (24), (102) gives:
% 20.08/3.68 | | | (120) all_30_0 = 0 | all_17_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 20.08/3.68 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_1,
% 20.08/3.68 | | | all_17_4) = v3 & apart_point_and_line(all_17_1, all_17_5) =
% 20.08/3.68 | | | v2 & distinct_lines(all_17_4, all_17_5) = v1 &
% 20.08/3.68 | | | distinct_points(all_17_1, all_17_1) = v0 & ( ~ (v1 = 0) | ~
% 20.08/3.68 | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.68 | | |
% 20.08/3.68 | | | GROUND_INST: instantiating (5) with all_17_1, all_17_1, all_17_4,
% 20.08/3.68 | | | all_17_5, all_17_0, all_30_0, simplifying with (16), (17),
% 20.08/3.68 | | | (19), (24), (102) gives:
% 20.08/3.68 | | | (121) all_30_0 = 0 | all_17_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 20.08/3.68 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_1,
% 20.08/3.68 | | | all_17_4) = v2 & apart_point_and_line(all_17_1, all_17_5) =
% 20.08/3.68 | | | v3 & distinct_lines(all_17_4, all_17_5) = v1 &
% 20.08/3.68 | | | distinct_points(all_17_1, all_17_1) = v0 & ( ~ (v1 = 0) | ~
% 20.08/3.68 | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.68 | | |
% 20.08/3.68 | | | GROUND_INST: instantiating (6) with all_17_1, all_17_1, all_17_4,
% 20.08/3.68 | | | all_17_4, all_30_0, all_30_0, simplifying with (17), (19),
% 20.08/3.68 | | | (102) gives:
% 20.08/3.68 | | | (122) all_30_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 20.08/3.68 | | | [v3: any] : (apart_point_and_line(all_17_1, all_17_4) = v3 &
% 20.08/3.68 | | | apart_point_and_line(all_17_1, all_17_4) = v2 &
% 20.08/3.68 | | | distinct_lines(all_17_4, all_17_4) = v1 &
% 20.08/3.68 | | | distinct_points(all_17_1, all_17_1) = v0 & ( ~ (v1 = 0) | ~
% 20.08/3.68 | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.68 | | |
% 20.08/3.68 | | | GROUND_INST: instantiating (7) with all_17_2, all_17_3, all_17_1,
% 20.08/3.68 | | | all_24_0, simplifying with (18), (19), (23), (40), (104)
% 20.08/3.68 | | | gives:
% 20.08/3.68 | | | (123) all_24_0 = 0 | distinct_points(all_17_2, all_17_1) = 0
% 20.08/3.68 | | |
% 20.08/3.68 | | | GROUND_INST: instantiating (5) with all_17_1, all_17_1, all_17_4,
% 20.08/3.68 | | | all_17_3, all_24_0, all_30_0, simplifying with (17), (18),
% 20.08/3.68 | | | (19), (40), (102) gives:
% 20.08/3.68 | | | (124) all_30_0 = 0 | all_24_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 20.08/3.69 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_1,
% 20.08/3.69 | | | all_17_3) = v3 & apart_point_and_line(all_17_1, all_17_4) =
% 20.08/3.69 | | | v2 & distinct_lines(all_17_4, all_17_3) = v1 &
% 20.08/3.69 | | | distinct_points(all_17_1, all_17_1) = v0 & ( ~ (v1 = 0) | ~
% 20.08/3.69 | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.69 | | |
% 20.08/3.69 | | | GROUND_INST: instantiating (6) with all_17_1, all_17_2, all_17_3,
% 20.08/3.69 | | | all_17_4, all_24_0, all_26_0, simplifying with (17), (18),
% 20.08/3.69 | | | (19), (40), (43), (104) gives:
% 20.08/3.69 | | | (125) all_26_0 = 0 | all_24_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 20.08/3.69 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_1,
% 20.08/3.69 | | | all_17_4) = v2 & apart_point_and_line(all_17_2, all_17_3) =
% 20.08/3.69 | | | v3 & distinct_lines(all_17_3, all_17_4) = v1 &
% 20.08/3.69 | | | distinct_points(all_17_1, all_17_2) = v0 & ( ~ (v1 = 0) | ~
% 20.08/3.69 | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.69 | | |
% 20.08/3.69 | | | GROUND_INST: instantiating (5) with all_17_1, all_17_2, all_17_4,
% 20.08/3.69 | | | all_17_3, all_24_0, all_26_0, simplifying with (17), (18),
% 20.08/3.69 | | | (19), (40), (43), (104) gives:
% 20.08/3.69 | | | (126) all_26_0 = 0 | all_24_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 20.08/3.69 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_1,
% 20.08/3.69 | | | all_17_4) = v2 & apart_point_and_line(all_17_2, all_17_3) =
% 20.08/3.69 | | | v3 & distinct_lines(all_17_4, all_17_3) = v1 &
% 20.08/3.69 | | | distinct_points(all_17_1, all_17_2) = v0 & ( ~ (v1 = 0) | ~
% 20.08/3.69 | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.69 | | |
% 20.08/3.69 | | | GROUND_INST: instantiating (6) with all_17_1, all_36_1, all_17_4,
% 20.08/3.69 | | | all_17_5, all_30_0, all_36_0, simplifying with (16), (17),
% 20.08/3.69 | | | (19), (61), (102), (105) gives:
% 20.08/3.69 | | | (127) all_36_0 = 0 | all_30_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 20.08/3.69 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_36_1,
% 20.08/3.69 | | | all_17_4) = v3 & apart_point_and_line(all_17_1, all_17_5) =
% 20.08/3.69 | | | v2 & distinct_lines(all_17_4, all_17_5) = v1 &
% 20.08/3.69 | | | distinct_points(all_17_1, all_36_1) = v0 & ( ~ (v1 = 0) | ~
% 20.08/3.69 | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.69 | | |
% 20.08/3.69 | | | GROUND_INST: instantiating (6) with all_36_1, all_17_1, all_17_5,
% 20.08/3.69 | | | all_17_4, all_36_0, all_30_0, simplifying with (16), (17),
% 20.08/3.69 | | | (19), (61), (102), (105) gives:
% 20.08/3.69 | | | (128) all_36_0 = 0 | all_30_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 20.08/3.69 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_36_1,
% 20.08/3.69 | | | all_17_4) = v2 & apart_point_and_line(all_17_1, all_17_5) =
% 20.08/3.69 | | | v3 & distinct_lines(all_17_5, all_17_4) = v1 &
% 20.08/3.69 | | | distinct_points(all_36_1, all_17_1) = v0 & ( ~ (v1 = 0) | ~
% 20.08/3.69 | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.69 | | |
% 20.08/3.69 | | | GROUND_INST: instantiating (5) with all_36_1, all_17_1, all_17_4,
% 20.08/3.69 | | | all_17_5, all_36_0, all_30_0, simplifying with (16), (17),
% 20.08/3.69 | | | (19), (61), (102), (105) gives:
% 20.08/3.69 | | | (129) all_36_0 = 0 | all_30_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 20.08/3.69 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_36_1,
% 20.08/3.69 | | | all_17_4) = v2 & apart_point_and_line(all_17_1, all_17_5) =
% 20.08/3.69 | | | v3 & distinct_lines(all_17_4, all_17_5) = v1 &
% 20.08/3.69 | | | distinct_points(all_36_1, all_17_1) = v0 & ( ~ (v1 = 0) | ~
% 20.08/3.69 | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.69 | | |
% 20.08/3.70 | | | GROUND_INST: instantiating (6) with all_17_2, all_36_1, all_17_4,
% 20.08/3.70 | | | all_17_5, all_26_0, all_36_0, simplifying with (16), (17),
% 20.08/3.70 | | | (43), (61), (104), (105) gives:
% 20.08/3.70 | | | (130) all_36_0 = 0 | all_26_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 20.08/3.70 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_36_1,
% 20.08/3.70 | | | all_17_4) = v3 & apart_point_and_line(all_17_2, all_17_5) =
% 20.08/3.70 | | | v2 & distinct_lines(all_17_4, all_17_5) = v1 &
% 20.08/3.70 | | | distinct_points(all_17_2, all_36_1) = v0 & ( ~ (v1 = 0) | ~
% 20.08/3.70 | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.70 | | |
% 20.08/3.70 | | | GROUND_INST: instantiating (6) with all_36_1, all_17_2, all_17_5,
% 20.08/3.70 | | | all_17_4, all_36_0, all_26_0, simplifying with (16), (17),
% 20.08/3.70 | | | (43), (61), (104), (105) gives:
% 20.08/3.70 | | | (131) all_36_0 = 0 | all_26_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 20.08/3.70 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_36_1,
% 20.08/3.70 | | | all_17_4) = v2 & apart_point_and_line(all_17_2, all_17_5) =
% 20.08/3.70 | | | v3 & distinct_lines(all_17_5, all_17_4) = v1 &
% 20.08/3.70 | | | distinct_points(all_36_1, all_17_2) = v0 & ( ~ (v1 = 0) | ~
% 20.08/3.70 | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.70 | | |
% 20.08/3.70 | | | GROUND_INST: instantiating (5) with all_17_2, all_36_1, all_17_5,
% 20.08/3.70 | | | all_17_4, all_26_0, all_36_0, simplifying with (16), (17),
% 20.08/3.70 | | | (43), (61), (104), (105) gives:
% 20.08/3.70 | | | (132) all_36_0 = 0 | all_26_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 20.08/3.70 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_36_1,
% 20.08/3.70 | | | all_17_4) = v3 & apart_point_and_line(all_17_2, all_17_5) =
% 20.08/3.70 | | | v2 & distinct_lines(all_17_5, all_17_4) = v1 &
% 20.08/3.70 | | | distinct_points(all_17_2, all_36_1) = v0 & ( ~ (v1 = 0) | ~
% 20.08/3.70 | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.70 | | |
% 20.08/3.70 | | | GROUND_INST: instantiating (5) with all_36_1, all_17_2, all_17_4,
% 20.08/3.70 | | | all_17_5, all_36_0, all_26_0, simplifying with (16), (17),
% 20.08/3.70 | | | (43), (61), (104), (105) gives:
% 20.08/3.70 | | | (133) all_36_0 = 0 | all_26_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 20.08/3.70 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_36_1,
% 20.08/3.70 | | | all_17_4) = v2 & apart_point_and_line(all_17_2, all_17_5) =
% 20.08/3.70 | | | v3 & distinct_lines(all_17_4, all_17_5) = v1 &
% 20.08/3.70 | | | distinct_points(all_36_1, all_17_2) = v0 & ( ~ (v1 = 0) | ~
% 20.08/3.70 | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.70 | | |
% 20.08/3.70 | | | GROUND_INST: instantiating (6) with all_36_1, all_17_2, all_17_5,
% 20.08/3.70 | | | all_17_5, all_36_0, all_34_0, simplifying with (16), (58),
% 20.08/3.70 | | | (61), (104), (105) gives:
% 20.08/3.70 | | | (134) all_36_0 = 0 | all_34_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 20.08/3.70 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_36_1,
% 20.08/3.70 | | | all_17_5) = v2 & apart_point_and_line(all_17_2, all_17_5) =
% 20.08/3.70 | | | v3 & distinct_lines(all_17_5, all_17_5) = v1 &
% 20.08/3.70 | | | distinct_points(all_36_1, all_17_2) = v0 & ( ~ (v1 = 0) | ~
% 20.08/3.70 | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.70 | | |
% 20.08/3.70 | | | BETA: splitting (123) gives:
% 20.08/3.70 | | |
% 20.08/3.70 | | | Case 1:
% 20.08/3.70 | | | |
% 20.08/3.70 | | | | (135) distinct_points(all_17_2, all_17_1) = 0
% 20.08/3.70 | | | |
% 20.08/3.70 | | | | BETA: splitting (122) gives:
% 20.08/3.70 | | | |
% 20.08/3.70 | | | | Case 1:
% 20.08/3.70 | | | | |
% 20.08/3.70 | | | | | (136) all_30_0 = 0
% 20.08/3.70 | | | | |
% 20.08/3.70 | | | | | REDUCE: (113), (136) imply:
% 20.08/3.70 | | | | | (137) $false
% 20.08/3.70 | | | | |
% 20.08/3.70 | | | | | CLOSE: (137) is inconsistent.
% 20.08/3.70 | | | | |
% 20.08/3.70 | | | | Case 2:
% 20.08/3.70 | | | | |
% 20.08/3.70 | | | | | (138) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 20.08/3.70 | | | | | (apart_point_and_line(all_17_1, all_17_4) = v3 &
% 20.08/3.70 | | | | | apart_point_and_line(all_17_1, all_17_4) = v2 &
% 20.08/3.70 | | | | | distinct_lines(all_17_4, all_17_4) = v1 &
% 20.08/3.70 | | | | | distinct_points(all_17_1, all_17_1) = v0 & ( ~ (v1 = 0) |
% 20.08/3.70 | | | | | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.70 | | | | |
% 20.08/3.70 | | | | | DELTA: instantiating (138) with fresh symbols all_105_0, all_105_1,
% 20.08/3.71 | | | | | all_105_2, all_105_3 gives:
% 20.08/3.71 | | | | | (139) apart_point_and_line(all_17_1, all_17_4) = all_105_0 &
% 20.08/3.71 | | | | | apart_point_and_line(all_17_1, all_17_4) = all_105_1 &
% 20.08/3.71 | | | | | distinct_lines(all_17_4, all_17_4) = all_105_2 &
% 20.08/3.71 | | | | | distinct_points(all_17_1, all_17_1) = all_105_3 & ( ~
% 20.08/3.71 | | | | | (all_105_2 = 0) | ~ (all_105_3 = 0) | all_105_0 = 0 |
% 20.08/3.71 | | | | | all_105_1 = 0)
% 20.08/3.71 | | | | |
% 20.08/3.71 | | | | | ALPHA: (139) implies:
% 20.08/3.71 | | | | | (140) apart_point_and_line(all_17_1, all_17_4) = all_105_1
% 20.08/3.71 | | | | | (141) apart_point_and_line(all_17_1, all_17_4) = all_105_0
% 20.08/3.71 | | | | |
% 20.08/3.71 | | | | | BETA: splitting (116) gives:
% 20.08/3.71 | | | | |
% 20.08/3.71 | | | | | Case 1:
% 20.08/3.71 | | | | | |
% 20.08/3.71 | | | | | | (142) all_26_0 = 0
% 20.08/3.71 | | | | | |
% 20.08/3.71 | | | | | | REDUCE: (111), (142) imply:
% 20.08/3.71 | | | | | | (143) $false
% 20.08/3.71 | | | | | |
% 20.08/3.71 | | | | | | CLOSE: (143) is inconsistent.
% 20.08/3.71 | | | | | |
% 20.08/3.71 | | | | | Case 2:
% 20.08/3.71 | | | | | |
% 20.08/3.71 | | | | | | (144) all_17_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 20.08/3.71 | | | | | | ? [v3: any] : (apart_point_and_line(all_17_1, all_17_4) =
% 20.08/3.71 | | | | | | v3 & apart_point_and_line(all_17_2, all_17_5) = v2 &
% 20.08/3.71 | | | | | | distinct_lines(all_17_5, all_17_4) = v1 &
% 20.08/3.71 | | | | | | distinct_points(all_17_2, all_17_1) = v0 & ( ~ (v1 = 0) |
% 20.08/3.71 | | | | | | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.71 | | | | | |
% 20.08/3.71 | | | | | | BETA: splitting (126) gives:
% 20.08/3.71 | | | | | |
% 20.08/3.71 | | | | | | Case 1:
% 20.08/3.71 | | | | | | |
% 20.08/3.71 | | | | | | | (145) all_26_0 = 0
% 20.08/3.71 | | | | | | |
% 20.08/3.71 | | | | | | | REDUCE: (111), (145) imply:
% 20.08/3.71 | | | | | | | (146) $false
% 20.08/3.71 | | | | | | |
% 20.08/3.71 | | | | | | | CLOSE: (146) is inconsistent.
% 20.08/3.71 | | | | | | |
% 20.08/3.71 | | | | | | Case 2:
% 20.08/3.71 | | | | | | |
% 20.08/3.71 | | | | | | | (147) all_24_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any]
% 20.08/3.71 | | | | | | | : ? [v3: any] : (apart_point_and_line(all_17_1,
% 20.08/3.71 | | | | | | | all_17_4) = v2 & apart_point_and_line(all_17_2,
% 20.08/3.71 | | | | | | | all_17_3) = v3 & distinct_lines(all_17_4, all_17_3) =
% 20.08/3.71 | | | | | | | v1 & distinct_points(all_17_1, all_17_2) = v0 & ( ~ (v1
% 20.08/3.71 | | | | | | | = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.71 | | | | | | |
% 20.08/3.71 | | | | | | | BETA: splitting (124) gives:
% 20.08/3.71 | | | | | | |
% 20.08/3.71 | | | | | | | Case 1:
% 20.08/3.71 | | | | | | | |
% 20.08/3.71 | | | | | | | | (148) all_30_0 = 0
% 20.08/3.71 | | | | | | | |
% 20.08/3.71 | | | | | | | | REDUCE: (113), (148) imply:
% 20.08/3.71 | | | | | | | | (149) $false
% 20.08/3.71 | | | | | | | |
% 20.08/3.71 | | | | | | | | CLOSE: (149) is inconsistent.
% 20.08/3.71 | | | | | | | |
% 20.08/3.71 | | | | | | | Case 2:
% 20.08/3.71 | | | | | | | |
% 20.08/3.71 | | | | | | | | (150) all_24_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2:
% 20.08/3.71 | | | | | | | | any] : ? [v3: any] : (apart_point_and_line(all_17_1,
% 20.08/3.71 | | | | | | | | all_17_3) = v3 & apart_point_and_line(all_17_1,
% 20.08/3.71 | | | | | | | | all_17_4) = v2 & distinct_lines(all_17_4, all_17_3)
% 20.08/3.71 | | | | | | | | = v1 & distinct_points(all_17_1, all_17_1) = v0 & ( ~
% 20.08/3.71 | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.71 | | | | | | | |
% 20.08/3.71 | | | | | | | | BETA: splitting (119) gives:
% 20.08/3.71 | | | | | | | |
% 20.08/3.71 | | | | | | | | Case 1:
% 20.08/3.71 | | | | | | | | |
% 20.08/3.71 | | | | | | | | | (151) all_30_0 = 0
% 20.08/3.71 | | | | | | | | |
% 20.08/3.71 | | | | | | | | | REDUCE: (113), (151) imply:
% 20.08/3.71 | | | | | | | | | (152) $false
% 20.08/3.71 | | | | | | | | |
% 20.08/3.71 | | | | | | | | | CLOSE: (152) is inconsistent.
% 20.08/3.71 | | | | | | | | |
% 20.08/3.71 | | | | | | | | Case 2:
% 20.08/3.71 | | | | | | | | |
% 20.08/3.71 | | | | | | | | | (153) all_17_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2:
% 20.08/3.71 | | | | | | | | | any] : ? [v3: any] :
% 20.08/3.71 | | | | | | | | | (apart_point_and_line(all_17_1, all_17_4) = v2 &
% 20.08/3.71 | | | | | | | | | apart_point_and_line(all_17_1, all_17_5) = v3 &
% 20.08/3.71 | | | | | | | | | distinct_lines(all_17_5, all_17_4) = v1 &
% 20.08/3.71 | | | | | | | | | distinct_points(all_17_1, all_17_1) = v0 & ( ~ (v1
% 20.08/3.71 | | | | | | | | | = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.71 | | | | | | | | |
% 20.08/3.71 | | | | | | | | | BETA: splitting (118) gives:
% 20.08/3.71 | | | | | | | | |
% 20.08/3.71 | | | | | | | | | Case 1:
% 20.08/3.71 | | | | | | | | | |
% 20.08/3.71 | | | | | | | | | | (154) all_34_0 = 0
% 20.08/3.71 | | | | | | | | | |
% 20.08/3.71 | | | | | | | | | | REDUCE: (112), (154) imply:
% 20.08/3.71 | | | | | | | | | | (155) $false
% 20.08/3.71 | | | | | | | | | |
% 20.08/3.71 | | | | | | | | | | CLOSE: (155) is inconsistent.
% 20.08/3.71 | | | | | | | | | |
% 20.08/3.71 | | | | | | | | | Case 2:
% 20.08/3.71 | | | | | | | | | |
% 20.08/3.71 | | | | | | | | | | (156) all_26_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 20.08/3.71 | | | | | | | | | | [v2: any] : ? [v3: any] :
% 20.08/3.71 | | | | | | | | | | (apart_point_and_line(all_17_2, all_17_4) = v2 &
% 20.08/3.71 | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v3 &
% 20.08/3.71 | | | | | | | | | | distinct_lines(all_17_4, all_17_5) = v1 &
% 20.08/3.71 | | | | | | | | | | distinct_points(all_17_2, all_17_2) = v0 & ( ~
% 20.08/3.71 | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.71 | | | | | | | | | |
% 20.08/3.71 | | | | | | | | | | BETA: splitting (117) gives:
% 20.08/3.71 | | | | | | | | | |
% 20.08/3.71 | | | | | | | | | | Case 1:
% 20.08/3.71 | | | | | | | | | | |
% 20.08/3.71 | | | | | | | | | | | (157) all_34_0 = 0
% 20.08/3.71 | | | | | | | | | | |
% 20.08/3.71 | | | | | | | | | | | REDUCE: (112), (157) imply:
% 20.08/3.71 | | | | | | | | | | | (158) $false
% 20.08/3.71 | | | | | | | | | | |
% 20.08/3.71 | | | | | | | | | | | CLOSE: (158) is inconsistent.
% 20.08/3.71 | | | | | | | | | | |
% 20.08/3.71 | | | | | | | | | | Case 2:
% 20.08/3.71 | | | | | | | | | | |
% 20.08/3.71 | | | | | | | | | | | (159) all_26_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 20.08/3.71 | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 20.08/3.71 | | | | | | | | | | | (apart_point_and_line(all_17_2, all_17_4) = v3 &
% 20.08/3.71 | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v2 &
% 20.08/3.71 | | | | | | | | | | | distinct_lines(all_17_4, all_17_5) = v1 &
% 20.08/3.71 | | | | | | | | | | | distinct_points(all_17_2, all_17_2) = v0 & ( ~
% 20.08/3.71 | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.71 | | | | | | | | | | |
% 20.08/3.71 | | | | | | | | | | | BETA: splitting (121) gives:
% 20.08/3.71 | | | | | | | | | | |
% 20.08/3.71 | | | | | | | | | | | Case 1:
% 20.08/3.71 | | | | | | | | | | | |
% 20.08/3.71 | | | | | | | | | | | | (160) all_30_0 = 0
% 20.08/3.71 | | | | | | | | | | | |
% 20.08/3.71 | | | | | | | | | | | | REDUCE: (113), (160) imply:
% 20.08/3.71 | | | | | | | | | | | | (161) $false
% 20.08/3.71 | | | | | | | | | | | |
% 20.08/3.71 | | | | | | | | | | | | CLOSE: (161) is inconsistent.
% 20.08/3.71 | | | | | | | | | | | |
% 20.08/3.71 | | | | | | | | | | | Case 2:
% 20.08/3.71 | | | | | | | | | | | |
% 20.08/3.71 | | | | | | | | | | | | (162) all_17_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 20.08/3.71 | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 20.08/3.71 | | | | | | | | | | | | (apart_point_and_line(all_17_1, all_17_4) = v2 &
% 20.08/3.71 | | | | | | | | | | | | apart_point_and_line(all_17_1, all_17_5) = v3 &
% 20.08/3.71 | | | | | | | | | | | | distinct_lines(all_17_4, all_17_5) = v1 &
% 20.08/3.71 | | | | | | | | | | | | distinct_points(all_17_1, all_17_1) = v0 & ( ~
% 20.08/3.71 | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.72 | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | BETA: splitting (120) gives:
% 20.08/3.72 | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | Case 1:
% 20.08/3.72 | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | (163) all_30_0 = 0
% 20.08/3.72 | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | REDUCE: (113), (163) imply:
% 20.08/3.72 | | | | | | | | | | | | | (164) $false
% 20.08/3.72 | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | CLOSE: (164) is inconsistent.
% 20.08/3.72 | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | Case 2:
% 20.08/3.72 | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | (165) all_17_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 20.08/3.72 | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 20.08/3.72 | | | | | | | | | | | | | (apart_point_and_line(all_17_1, all_17_4) = v3 &
% 20.08/3.72 | | | | | | | | | | | | | apart_point_and_line(all_17_1, all_17_5) = v2 &
% 20.08/3.72 | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_5) = v1 &
% 20.08/3.72 | | | | | | | | | | | | | distinct_points(all_17_1, all_17_1) = v0 & ( ~
% 20.08/3.72 | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.72 | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | BETA: splitting (125) gives:
% 20.08/3.72 | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | Case 1:
% 20.08/3.72 | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | (166) all_26_0 = 0
% 20.08/3.72 | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | REDUCE: (111), (166) imply:
% 20.08/3.72 | | | | | | | | | | | | | | (167) $false
% 20.08/3.72 | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | CLOSE: (167) is inconsistent.
% 20.08/3.72 | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | Case 2:
% 20.08/3.72 | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | (168) all_24_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 20.08/3.72 | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 20.08/3.72 | | | | | | | | | | | | | | (apart_point_and_line(all_17_1, all_17_4) = v2 &
% 20.08/3.72 | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_3) = v3 &
% 20.08/3.72 | | | | | | | | | | | | | | distinct_lines(all_17_3, all_17_4) = v1 &
% 20.08/3.72 | | | | | | | | | | | | | | distinct_points(all_17_1, all_17_2) = v0 & ( ~
% 20.08/3.72 | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.72 | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 20.08/3.72 | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | Case 1:
% 20.08/3.72 | | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | | (169) all_17_0 = 0
% 20.08/3.72 | | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | | REDUCE: (15), (169) imply:
% 20.08/3.72 | | | | | | | | | | | | | | | (170) $false
% 20.08/3.72 | | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | | CLOSE: (170) is inconsistent.
% 20.08/3.72 | | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | Case 2:
% 20.08/3.72 | | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | | (171) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 20.08/3.72 | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_1,
% 20.08/3.72 | | | | | | | | | | | | | | | all_17_4) = v3 &
% 20.08/3.72 | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v2 &
% 20.08/3.72 | | | | | | | | | | | | | | | distinct_lines(all_17_5, all_17_4) = v1 &
% 20.08/3.72 | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_1) = v0 & ( ~
% 20.08/3.72 | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.72 | | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | | DELTA: instantiating (171) with fresh symbols all_186_0,
% 20.08/3.72 | | | | | | | | | | | | | | | all_186_1, all_186_2, all_186_3 gives:
% 20.08/3.72 | | | | | | | | | | | | | | | (172) apart_point_and_line(all_17_1, all_17_4) =
% 20.08/3.72 | | | | | | | | | | | | | | | all_186_0 & apart_point_and_line(all_17_2,
% 20.08/3.72 | | | | | | | | | | | | | | | all_17_5) = all_186_1 & distinct_lines(all_17_5,
% 20.08/3.72 | | | | | | | | | | | | | | | all_17_4) = all_186_2 &
% 20.08/3.72 | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_1) = all_186_3 &
% 20.08/3.72 | | | | | | | | | | | | | | | ( ~ (all_186_2 = 0) | ~ (all_186_3 = 0) |
% 20.08/3.72 | | | | | | | | | | | | | | | all_186_0 = 0 | all_186_1 = 0)
% 20.08/3.72 | | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | | ALPHA: (172) implies:
% 20.08/3.72 | | | | | | | | | | | | | | | (173) distinct_points(all_17_2, all_17_1) = all_186_3
% 20.08/3.72 | | | | | | | | | | | | | | | (174) apart_point_and_line(all_17_2, all_17_5) =
% 20.08/3.72 | | | | | | | | | | | | | | | all_186_1
% 20.08/3.72 | | | | | | | | | | | | | | | (175) apart_point_and_line(all_17_1, all_17_4) =
% 20.08/3.72 | | | | | | | | | | | | | | | all_186_0
% 20.08/3.72 | | | | | | | | | | | | | | | (176) ~ (all_186_2 = 0) | ~ (all_186_3 = 0) |
% 20.08/3.72 | | | | | | | | | | | | | | | all_186_0 = 0 | all_186_1 = 0
% 20.08/3.72 | | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 20.08/3.72 | | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | | Case 1:
% 20.08/3.72 | | | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | | | (177) all_24_0 = 0
% 20.08/3.72 | | | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | | | REDUCE: (114), (177) imply:
% 20.08/3.72 | | | | | | | | | | | | | | | | (178) $false
% 20.08/3.72 | | | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | | | CLOSE: (178) is inconsistent.
% 20.08/3.72 | | | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | | Case 2:
% 20.08/3.72 | | | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | | | (179) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 20.08/3.72 | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_1,
% 20.08/3.72 | | | | | | | | | | | | | | | | all_17_3) = v3 &
% 20.08/3.72 | | | | | | | | | | | | | | | | apart_point_and_line(all_17_1, all_17_4) = v2 &
% 20.08/3.72 | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_3) = v1 &
% 20.08/3.72 | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_17_1) = v0 & ( ~
% 20.08/3.72 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.72 | | | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | | | DELTA: instantiating (179) with fresh symbols all_196_0,
% 20.08/3.72 | | | | | | | | | | | | | | | | all_196_1, all_196_2, all_196_3 gives:
% 20.08/3.72 | | | | | | | | | | | | | | | | (180) apart_point_and_line(all_17_1, all_17_3) =
% 20.08/3.72 | | | | | | | | | | | | | | | | all_196_0 & apart_point_and_line(all_17_1,
% 20.08/3.72 | | | | | | | | | | | | | | | | all_17_4) = all_196_1 & distinct_lines(all_17_4,
% 20.08/3.72 | | | | | | | | | | | | | | | | all_17_3) = all_196_2 &
% 20.08/3.72 | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_17_1) = all_196_3 &
% 20.08/3.72 | | | | | | | | | | | | | | | | ( ~ (all_196_2 = 0) | ~ (all_196_3 = 0) |
% 20.08/3.72 | | | | | | | | | | | | | | | | all_196_0 = 0 | all_196_1 = 0)
% 20.08/3.72 | | | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | | | ALPHA: (180) implies:
% 20.08/3.72 | | | | | | | | | | | | | | | | (181) apart_point_and_line(all_17_1, all_17_4) =
% 20.08/3.72 | | | | | | | | | | | | | | | | all_196_1
% 20.08/3.72 | | | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 20.08/3.72 | | | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | | | Case 1:
% 20.08/3.72 | | | | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | | | | (182) all_17_0 = 0
% 20.08/3.72 | | | | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | | | | REDUCE: (15), (182) imply:
% 20.08/3.72 | | | | | | | | | | | | | | | | | (183) $false
% 20.08/3.72 | | | | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | | | | CLOSE: (183) is inconsistent.
% 20.08/3.72 | | | | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | | | Case 2:
% 20.08/3.72 | | | | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | | | | (184) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 20.08/3.72 | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_1,
% 20.08/3.72 | | | | | | | | | | | | | | | | | all_17_4) = v2 &
% 20.08/3.72 | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_1, all_17_5) = v3 &
% 20.08/3.72 | | | | | | | | | | | | | | | | | distinct_lines(all_17_5, all_17_4) = v1 &
% 20.08/3.72 | | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_17_1) = v0 & ( ~
% 20.08/3.72 | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.72 | | | | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | | | | DELTA: instantiating (184) with fresh symbols all_201_0,
% 20.08/3.72 | | | | | | | | | | | | | | | | | all_201_1, all_201_2, all_201_3 gives:
% 20.08/3.72 | | | | | | | | | | | | | | | | | (185) apart_point_and_line(all_17_1, all_17_4) =
% 20.08/3.72 | | | | | | | | | | | | | | | | | all_201_1 & apart_point_and_line(all_17_1,
% 20.08/3.72 | | | | | | | | | | | | | | | | | all_17_5) = all_201_0 & distinct_lines(all_17_5,
% 20.08/3.72 | | | | | | | | | | | | | | | | | all_17_4) = all_201_2 &
% 20.08/3.72 | | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_17_1) = all_201_3 &
% 20.08/3.72 | | | | | | | | | | | | | | | | | ( ~ (all_201_2 = 0) | ~ (all_201_3 = 0) |
% 20.08/3.72 | | | | | | | | | | | | | | | | | all_201_0 = 0 | all_201_1 = 0)
% 20.08/3.72 | | | | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | | | | ALPHA: (185) implies:
% 20.08/3.72 | | | | | | | | | | | | | | | | | (186) apart_point_and_line(all_17_1, all_17_4) =
% 20.08/3.72 | | | | | | | | | | | | | | | | | all_201_1
% 20.08/3.72 | | | | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | | | | BETA: splitting (156) gives:
% 20.08/3.72 | | | | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | | | | Case 1:
% 20.08/3.72 | | | | | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | | | | | (187) all_26_0 = 0
% 20.08/3.72 | | | | | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | | | | | REDUCE: (111), (187) imply:
% 20.08/3.72 | | | | | | | | | | | | | | | | | | (188) $false
% 20.08/3.72 | | | | | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | | | | | CLOSE: (188) is inconsistent.
% 20.08/3.72 | | | | | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | | | | Case 2:
% 20.08/3.72 | | | | | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | | | | | (189) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 20.08/3.72 | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_2,
% 20.08/3.72 | | | | | | | | | | | | | | | | | | all_17_4) = v2 &
% 20.08/3.72 | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v3 &
% 20.08/3.72 | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_5) = v1 &
% 20.08/3.72 | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_2) = v0 & ( ~
% 20.08/3.72 | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.72 | | | | | | | | | | | | | | | | | |
% 20.08/3.72 | | | | | | | | | | | | | | | | | | DELTA: instantiating (189) with fresh symbols all_206_0,
% 20.08/3.72 | | | | | | | | | | | | | | | | | | all_206_1, all_206_2, all_206_3 gives:
% 20.08/3.73 | | | | | | | | | | | | | | | | | | (190) apart_point_and_line(all_17_2, all_17_4) =
% 20.08/3.73 | | | | | | | | | | | | | | | | | | all_206_1 & apart_point_and_line(all_17_2,
% 20.08/3.73 | | | | | | | | | | | | | | | | | | all_17_5) = all_206_0 & distinct_lines(all_17_4,
% 20.08/3.73 | | | | | | | | | | | | | | | | | | all_17_5) = all_206_2 &
% 20.08/3.73 | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_2) = all_206_3 &
% 20.08/3.73 | | | | | | | | | | | | | | | | | | ( ~ (all_206_2 = 0) | ~ (all_206_3 = 0) |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | all_206_0 = 0 | all_206_1 = 0)
% 20.08/3.73 | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | ALPHA: (190) implies:
% 20.08/3.73 | | | | | | | | | | | | | | | | | | (191) distinct_lines(all_17_4, all_17_5) = all_206_2
% 20.08/3.73 | | | | | | | | | | | | | | | | | | (192) apart_point_and_line(all_17_2, all_17_5) =
% 20.08/3.73 | | | | | | | | | | | | | | | | | | all_206_0
% 20.08/3.73 | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 20.08/3.73 | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | Case 1:
% 20.08/3.73 | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | (193) all_26_0 = 0
% 20.08/3.73 | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | REDUCE: (111), (193) imply:
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | (194) $false
% 20.08/3.73 | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | CLOSE: (194) is inconsistent.
% 20.08/3.73 | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | Case 2:
% 20.08/3.73 | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | (195) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_2,
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | all_17_4) = v3 &
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v2 &
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_5) = v1 &
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_2) = v0 & ( ~
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.73 | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (195) with fresh symbols all_211_0,
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | all_211_1, all_211_2, all_211_3 gives:
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | (196) apart_point_and_line(all_17_2, all_17_4) =
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | all_211_0 & apart_point_and_line(all_17_2,
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | all_17_5) = all_211_1 & distinct_lines(all_17_4,
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | all_17_5) = all_211_2 &
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_2) = all_211_3 &
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | ( ~ (all_211_2 = 0) | ~ (all_211_3 = 0) |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | all_211_0 = 0 | all_211_1 = 0)
% 20.08/3.73 | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | ALPHA: (196) implies:
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | (197) distinct_lines(all_17_4, all_17_5) = all_211_2
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | (198) apart_point_and_line(all_17_2, all_17_5) =
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | all_211_1
% 20.08/3.73 | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 20.08/3.73 | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | Case 1:
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | (199) all_17_0 = 0
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (199) imply:
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | (200) $false
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | CLOSE: (200) is inconsistent.
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | Case 2:
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | (201) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_1,
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | all_17_4) = v2 &
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_1, all_17_5) = v3 &
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_5) = v1 &
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_17_1) = v0 & ( ~
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (201) with fresh symbols all_216_0,
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | all_216_1, all_216_2, all_216_3 gives:
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | (202) apart_point_and_line(all_17_1, all_17_4) =
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | all_216_1 & apart_point_and_line(all_17_1,
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | all_17_5) = all_216_0 & distinct_lines(all_17_4,
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | all_17_5) = all_216_2 &
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_17_1) = all_216_3 &
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | ( ~ (all_216_2 = 0) | ~ (all_216_3 = 0) |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | all_216_0 = 0 | all_216_1 = 0)
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | ALPHA: (202) implies:
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | (203) distinct_lines(all_17_4, all_17_5) = all_216_2
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | (204) apart_point_and_line(all_17_1, all_17_4) =
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | all_216_1
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | Case 1:
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | (205) all_17_0 = 0
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (205) imply:
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | (206) $false
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | CLOSE: (206) is inconsistent.
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | Case 2:
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | (207) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_1,
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | all_17_4) = v3 &
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_1, all_17_5) = v2 &
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_5) = v1 &
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_17_1) = v0 & ( ~
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (207) with fresh symbols all_221_0,
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | all_221_1, all_221_2, all_221_3 gives:
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | (208) apart_point_and_line(all_17_1, all_17_4) =
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | all_221_0 & apart_point_and_line(all_17_1,
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_221_1 & distinct_lines(all_17_4,
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_221_2 &
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_17_1) = all_221_3 &
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | ( ~ (all_221_2 = 0) | ~ (all_221_3 = 0) |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | all_221_0 = 0 | all_221_1 = 0)
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | ALPHA: (208) implies:
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | (209) distinct_lines(all_17_4, all_17_5) = all_221_2
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | (210) apart_point_and_line(all_17_1, all_17_4) =
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | all_221_0
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (130) gives:
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | (211) all_36_0 = 0
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (211) imply:
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | (212) $false
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (212) is inconsistent.
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | (213) all_26_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_36_1, all_17_4) = v3 &
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v2 &
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_5) = v1 &
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_36_1) = v0 & ( ~
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (132) gives:
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | | (214) all_36_0 = 0
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (214) imply:
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | | (215) $false
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (215) is inconsistent.
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | | (216) all_26_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_36_1, all_17_4) = v3 &
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v2 &
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_5, all_17_4) = v1 &
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_36_1) = v0 & ( ~
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (131) gives:
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | | | (217) all_36_0 = 0
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (217) imply:
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | | | (218) $false
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (218) is inconsistent.
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 20.08/3.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 20.08/3.74 | | | | | | | | | | | | | | | | | | | | | | | | (219) all_26_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 20.08/3.74 | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 20.08/3.74 | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_36_1, all_17_4) = v2 &
% 20.08/3.74 | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v3 &
% 20.08/3.74 | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_5, all_17_4) = v1 &
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_2) = v0 & ( ~
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (129) gives:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | (220) all_36_0 = 0
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (220) imply:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | (221) $false
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (221) is inconsistent.
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | (222) all_30_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_36_1, all_17_4) = v2 &
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_1, all_17_5) = v3 &
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_5) = v1 &
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_1) = v0 & ( ~
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (134) gives:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (223) all_36_0 = 0
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (223) imply:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (224) $false
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (224) is inconsistent.
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (225) all_34_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_36_1, all_17_5) = v2 &
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v3 &
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_5, all_17_5) = v1 &
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_2) = v0 & ( ~
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (133) gives:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (226) all_36_0 = 0
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (226) imply:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (227) $false
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (227) is inconsistent.
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (228) all_26_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_36_1, all_17_4) = v2 &
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v3 &
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_5) = v1 &
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_2) = v0 & ( ~
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (127) gives:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229) all_36_0 = 0
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (229) imply:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230) $false
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (230) is inconsistent.
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231) all_30_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_36_1, all_17_4) = v3 &
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_1, all_17_5) = v2 &
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_5) = v1 &
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_36_1) = v0 & ( ~
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (128) gives:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232) all_36_0 = 0
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (232) imply:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233) $false
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (233) is inconsistent.
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234) all_30_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_36_1, all_17_4) = v2 &
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_1, all_17_5) = v3 &
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_5, all_17_4) = v1 &
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_1) = v0 & ( ~
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235) all_24_0 = 0
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (235) imply:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236) $false
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (236) is inconsistent.
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_1,
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = v2 &
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_3) = v3 &
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_3) = v1 &
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_17_2) = v0 & ( ~
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (237) with fresh symbols all_335_0,
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_335_1, all_335_2, all_335_3 gives:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238) apart_point_and_line(all_17_1, all_17_4) =
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_335_1 & apart_point_and_line(all_17_2,
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = all_335_0 & distinct_lines(all_17_4,
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = all_335_2 &
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_17_2) = all_335_3 &
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_335_2 = 0) | ~ (all_335_3 = 0) |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_335_0 = 0 | all_335_1 = 0)
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (238) implies:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239) apart_point_and_line(all_17_1, all_17_4) =
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_335_1
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240) all_24_0 = 0
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (240) imply:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241) $false
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (241) is inconsistent.
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_1,
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = v2 &
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_3) = v3 &
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_3, all_17_4) = v1 &
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_17_2) = v0 & ( ~
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (242) with fresh symbols all_345_0,
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_345_1, all_345_2, all_345_3 gives:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243) apart_point_and_line(all_17_1, all_17_4) =
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_345_1 & apart_point_and_line(all_17_2,
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = all_345_0 & distinct_lines(all_17_3,
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_345_2 &
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_17_2) = all_345_3 &
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_345_2 = 0) | ~ (all_345_3 = 0) |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_345_0 = 0 | all_345_1 = 0)
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (243) implies:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244) apart_point_and_line(all_17_1, all_17_4) =
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_345_1
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245) all_26_0 = 0
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (245) imply:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246) $false
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (246) is inconsistent.
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (247) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_36_1,
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = v3 &
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v2 &
% 20.43/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_5) = v1 &
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_36_1) = v0 & ( ~
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (247) with fresh symbols all_381_0,
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_381_1, all_381_2, all_381_3 gives:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (248) apart_point_and_line(all_36_1, all_17_4) =
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_381_0 & apart_point_and_line(all_17_2,
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_381_1 & distinct_lines(all_17_4,
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_381_2 &
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_36_1) = all_381_3 &
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_381_2 = 0) | ~ (all_381_3 = 0) |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_381_0 = 0 | all_381_1 = 0)
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (248) implies:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (249) distinct_lines(all_17_4, all_17_5) = all_381_2
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (250) apart_point_and_line(all_17_2, all_17_5) =
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_381_1
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251) all_26_0 = 0
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (251) imply:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (252) $false
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (252) is inconsistent.
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (253) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_36_1,
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = v3 &
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v2 &
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_5, all_17_4) = v1 &
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_36_1) = v0 & ( ~
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (253) with fresh symbols all_386_0,
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_386_1, all_386_2, all_386_3 gives:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (254) apart_point_and_line(all_36_1, all_17_4) =
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_386_0 & apart_point_and_line(all_17_2,
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_386_1 & distinct_lines(all_17_5,
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_386_2 &
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_36_1) = all_386_3 &
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_386_2 = 0) | ~ (all_386_3 = 0) |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_386_0 = 0 | all_386_1 = 0)
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (254) implies:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (255) apart_point_and_line(all_17_2, all_17_5) =
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_386_1
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (256) all_26_0 = 0
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (256) imply:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (257) $false
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (257) is inconsistent.
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_36_1,
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = v2 &
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v3 &
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_5, all_17_4) = v1 &
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_2) = v0 & ( ~
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (258) with fresh symbols all_406_0,
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_406_1, all_406_2, all_406_3 gives:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (259) apart_point_and_line(all_36_1, all_17_4) =
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_406_1 & apart_point_and_line(all_17_2,
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_406_0 & distinct_lines(all_17_5,
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_406_2 &
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_2) = all_406_3 &
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_406_2 = 0) | ~ (all_406_3 = 0) |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_406_0 = 0 | all_406_1 = 0)
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (259) implies:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (260) apart_point_and_line(all_17_2, all_17_5) =
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_406_0
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (261) all_30_0 = 0
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (261) imply:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (262) $false
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (262) is inconsistent.
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (263) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_36_1,
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = v2 &
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_1, all_17_5) = v3 &
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_5) = v1 &
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_1) = v0 & ( ~
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (263) with fresh symbols all_411_0,
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_411_1, all_411_2, all_411_3 gives:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (264) apart_point_and_line(all_36_1, all_17_4) =
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_411_1 & apart_point_and_line(all_17_1,
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_411_0 & distinct_lines(all_17_4,
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_411_2 &
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_1) = all_411_3 &
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_411_2 = 0) | ~ (all_411_3 = 0) |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_411_0 = 0 | all_411_1 = 0)
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (264) implies:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (265) distinct_lines(all_17_4, all_17_5) = all_411_2
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (266) all_34_0 = 0
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (266) imply:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (267) $false
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (267) is inconsistent.
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (268) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_36_1,
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = v2 &
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v3 &
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_5, all_17_5) = v1 &
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_2) = v0 & ( ~
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (268) with fresh symbols all_416_0,
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_416_1, all_416_2, all_416_3 gives:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269) apart_point_and_line(all_36_1, all_17_5) =
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_416_1 & apart_point_and_line(all_17_2,
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_416_0 & distinct_lines(all_17_5,
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_416_2 &
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_2) = all_416_3 &
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_416_2 = 0) | ~ (all_416_3 = 0) |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_416_0 = 0 | all_416_1 = 0)
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (269) implies:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (270) apart_point_and_line(all_17_2, all_17_5) =
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_416_0
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (271) all_26_0 = 0
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (271) imply:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (272) $false
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (272) is inconsistent.
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (273) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_36_1,
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = v2 &
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v3 &
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_5) = v1 &
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_2) = v0 & ( ~
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (273) with fresh symbols all_421_0,
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_421_1, all_421_2, all_421_3 gives:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (274) apart_point_and_line(all_36_1, all_17_4) =
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_421_1 & apart_point_and_line(all_17_2,
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_421_0 & distinct_lines(all_17_4,
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_421_2 &
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_2) = all_421_3 &
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_421_2 = 0) | ~ (all_421_3 = 0) |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_421_0 = 0 | all_421_1 = 0)
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (274) implies:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (275) distinct_lines(all_17_4, all_17_5) = all_421_2
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (276) apart_point_and_line(all_17_2, all_17_5) =
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_421_0
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (277) all_30_0 = 0
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (277) imply:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (278) $false
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (278) is inconsistent.
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (279) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_36_1,
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = v3 &
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_1, all_17_5) = v2 &
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_5) = v1 &
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_36_1) = v0 & ( ~
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (279) with fresh symbols all_431_0,
% 20.43/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_431_1, all_431_2, all_431_3 gives:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (280) apart_point_and_line(all_36_1, all_17_4) =
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_431_0 & apart_point_and_line(all_17_1,
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_431_1 & distinct_lines(all_17_4,
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_431_2 &
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_36_1) = all_431_3 &
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_431_2 = 0) | ~ (all_431_3 = 0) |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_431_0 = 0 | all_431_1 = 0)
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (280) implies:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (281) distinct_lines(all_17_4, all_17_5) = all_431_2
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (282) all_30_0 = 0
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (282) imply:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (283) $false
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (283) is inconsistent.
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_186_3, all_17_1,
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_2, simplifying with (135), (173) gives:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (284) all_186_3 = 0
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_206_2, all_216_2,
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_17_4, simplifying with (191), (203)
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (285) all_216_2 = all_206_2
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_216_2, all_221_2,
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_17_4, simplifying with (203), (209)
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (286) all_221_2 = all_216_2
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_411_2, all_421_2,
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_17_4, simplifying with (265), (275)
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (287) all_421_2 = all_411_2
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_211_2, all_421_2,
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_17_4, simplifying with (197), (275)
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (288) all_421_2 = all_211_2
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_411_2, all_431_2,
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_17_4, simplifying with (265), (281)
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (289) all_431_2 = all_411_2
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_381_2, all_431_2,
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_17_4, simplifying with (249), (281)
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (290) all_431_2 = all_381_2
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_221_2, all_431_2,
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_17_4, simplifying with (209), (281)
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (291) all_431_2 = all_221_2
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_206_0, all_211_1,
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_17_2, simplifying with (192), (198)
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (292) all_211_1 = all_206_0
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_211_1, all_381_1,
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_17_2, simplifying with (198), (250)
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (293) all_381_1 = all_211_1
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_381_1, all_386_1,
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_17_2, simplifying with (250), (255)
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (294) all_386_1 = all_381_1
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_386_1, all_406_0,
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_17_2, simplifying with (255), (260)
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (295) all_406_0 = all_386_1
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_34_0, all_416_0,
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_17_2, simplifying with (58), (270)
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (296) all_416_0 = all_34_0
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_206_0, all_416_0,
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_17_2, simplifying with (192), (270)
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (297) all_416_0 = all_206_0
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_406_0, all_421_0,
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_17_2, simplifying with (260), (276)
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (298) all_421_0 = all_406_0
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_186_1, all_421_0,
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_17_2, simplifying with (174), (276)
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (299) all_421_0 = all_186_1
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_30_0, all_196_1,
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_1, simplifying with (102), (181)
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (300) all_196_1 = all_30_0
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_105_1, all_196_1,
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_1, simplifying with (140), (181)
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (301) all_196_1 = all_105_1
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_196_1, all_201_1,
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_1, simplifying with (181), (186)
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (302) all_201_1 = all_196_1
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_201_1, all_216_1,
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_1, simplifying with (186), (204)
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (303) all_216_1 = all_201_1
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_196_1, all_335_1,
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_1, simplifying with (181), (239)
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (304) all_335_1 = all_196_1
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_186_0, all_335_1,
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_1, simplifying with (175), (239)
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (305) all_335_1 = all_186_0
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_221_0, all_345_1,
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_1, simplifying with (210), (244)
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (306) all_345_1 = all_221_0
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_216_1, all_345_1,
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_1, simplifying with (204), (244)
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (307) all_345_1 = all_216_1
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_105_0, all_345_1,
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_1, simplifying with (141), (244)
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (308) all_345_1 = all_105_0
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (289), (290) imply:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (309) all_411_2 = all_381_2
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (309) implies:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (310) all_411_2 = all_381_2
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (291) imply:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (311) all_381_2 = all_221_2
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (299) imply:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (312) all_406_0 = all_186_1
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (312) implies:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (313) all_406_0 = all_186_1
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (288) imply:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (314) all_411_2 = all_211_2
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (314) implies:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (315) all_411_2 = all_211_2
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (296), (297) imply:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (316) all_206_0 = all_34_0
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (316) implies:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (317) all_206_0 = all_34_0
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (310), (315) imply:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (318) all_381_2 = all_211_2
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (318) implies:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (319) all_381_2 = all_211_2
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (295), (313) imply:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (320) all_386_1 = all_186_1
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (320) implies:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (321) all_386_1 = all_186_1
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (321) imply:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (322) all_381_1 = all_186_1
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (322) implies:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (323) all_381_1 = all_186_1
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (293), (323) imply:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (324) all_211_1 = all_186_1
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (324) implies:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (325) all_211_1 = all_186_1
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (311), (319) imply:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (326) all_221_2 = all_211_2
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (326) implies:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (327) all_221_2 = all_211_2
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (306), (308) imply:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (328) all_221_0 = all_105_0
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (306), (307) imply:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (329) all_221_0 = all_216_1
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (304), (305) imply:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (330) all_196_1 = all_186_0
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (330) implies:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (331) all_196_1 = all_186_0
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (329) imply:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (332) all_216_1 = all_105_0
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (332) implies:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (333) all_216_1 = all_105_0
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (327) imply:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (334) all_216_2 = all_211_2
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (334) implies:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (335) all_216_2 = all_211_2
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (303), (333) imply:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (336) all_201_1 = all_105_0
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (336) implies:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (337) all_201_1 = all_105_0
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (335) imply:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (338) all_211_2 = all_206_2
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (325) imply:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (339) all_206_0 = all_186_1
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (339) implies:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (340) all_206_0 = all_186_1
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (317), (340) imply:
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (341) all_186_1 = all_34_0
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (302), (337) imply:
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (342) all_196_1 = all_105_0
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (342) implies:
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (343) all_196_1 = all_105_0
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (300), (331) imply:
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (344) all_186_0 = all_30_0
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (331) imply:
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (345) all_186_0 = all_105_1
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (331), (343) imply:
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (346) all_186_0 = all_105_0
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (344), (346) imply:
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (347) all_105_0 = all_30_0
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (345), (346) imply:
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (348) all_105_0 = all_105_1
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (348) imply:
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (349) all_105_1 = all_30_0
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (115) gives:
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (350) all_26_0 = 0
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (350) imply:
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (351) $false
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (351) is inconsistent.
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (352) all_17_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_17_1, all_17_4) = v3 &
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v2 &
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_5) = v1 &
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_1) = v0 & ( ~
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (352) gives:
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (353) all_17_0 = 0
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (353) imply:
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (354) $false
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (354) is inconsistent.
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (355) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_1,
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = v3 &
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v2 &
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_5) = v1 &
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_1) = v0 & ( ~
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (355) with fresh symbols all_493_0,
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_493_1, all_493_2, all_493_3 gives:
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (356) apart_point_and_line(all_17_1, all_17_4) =
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_493_0 & apart_point_and_line(all_17_2,
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_493_1 & distinct_lines(all_17_4,
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_493_2 &
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_1) = all_493_3 &
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_493_2 = 0) | ~ (all_493_3 = 0) |
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_493_0 = 0 | all_493_1 = 0)
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.43/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (356) implies:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (357) distinct_points(all_17_2, all_17_1) = all_493_3
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358) distinct_lines(all_17_4, all_17_5) = all_493_2
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (359) apart_point_and_line(all_17_2, all_17_5) =
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_493_1
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (360) apart_point_and_line(all_17_1, all_17_4) =
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_493_0
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (361) ~ (all_493_2 = 0) | ~ (all_493_3 = 0) |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_493_0 = 0 | all_493_1 = 0
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (176) gives:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_493_3, all_17_1,
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_2, simplifying with (135), (357) gives:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (362) all_493_3 = 0
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_206_2, all_493_2,
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_17_4, simplifying with (191), (358)
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (363) all_493_2 = all_206_2
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_34_0, all_493_1,
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_17_2, simplifying with (58), (359)
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (364) all_493_1 = all_34_0
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_30_0, all_493_0,
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_1, simplifying with (102), (360)
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (365) all_493_0 = all_30_0
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (366) ~ (all_493_2 = 0)
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (366) imply:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (367) ~ (all_206_2 = 0)
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_17_5, all_17_4,
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_206_2, simplifying with (16), (17),
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20), (191) gives:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (368) all_206_2 = 0 | convergent_lines(all_17_5,
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = 0
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (368) gives:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (369) convergent_lines(all_17_5, all_17_5) = 0
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (apart3) with all_17_5, simplifying
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | with (16), (369) gives:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (370) $false
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (370) is inconsistent.
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (371) all_206_2 = 0
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (371) imply:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (372) $false
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (372) is inconsistent.
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373) ~ (all_493_3 = 0) | all_493_0 = 0 | all_493_1 = 0
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (373) gives:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374) ~ (all_493_3 = 0)
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (374) imply:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (375) $false
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (375) is inconsistent.
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376) all_493_0 = 0 | all_493_1 = 0
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (376) gives:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (377) all_493_0 = 0
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (365), (377) imply:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (378) all_30_0 = 0
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (378) imply:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (379) $false
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (379) is inconsistent.
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (380) all_493_1 = 0
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (364), (380) imply:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (381) all_34_0 = 0
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (381) imply:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (382) $false
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (382) is inconsistent.
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (383) ~ (all_186_3 = 0) | all_186_0 = 0 | all_186_1 = 0
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (383) gives:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (384) ~ (all_186_3 = 0)
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (284), (384) imply:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (385) $false
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (385) is inconsistent.
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386) all_186_0 = 0 | all_186_1 = 0
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (386) gives:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387) all_186_0 = 0
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (344), (387) imply:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (388) all_30_0 = 0
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (388) implies:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (389) all_30_0 = 0
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (389) imply:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (390) $false
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (390) is inconsistent.
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (391) all_186_1 = 0
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (341), (391) imply:
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (392) all_34_0 = 0
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (392) implies:
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (393) all_34_0 = 0
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (393) imply:
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (394) $false
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (394) is inconsistent.
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | | |
% 20.59/3.78 | | | | | | | | | End of split
% 20.59/3.78 | | | | | | | | |
% 20.59/3.78 | | | | | | | | End of split
% 20.59/3.78 | | | | | | | |
% 20.59/3.78 | | | | | | | End of split
% 20.59/3.78 | | | | | | |
% 20.59/3.78 | | | | | | End of split
% 20.59/3.78 | | | | | |
% 20.59/3.78 | | | | | End of split
% 20.59/3.78 | | | | |
% 20.59/3.78 | | | | End of split
% 20.59/3.78 | | | |
% 20.59/3.78 | | | Case 2:
% 20.59/3.78 | | | |
% 20.59/3.78 | | | | (395) all_24_0 = 0
% 20.59/3.78 | | | |
% 20.59/3.78 | | | | REDUCE: (114), (395) imply:
% 20.59/3.78 | | | | (396) $false
% 20.59/3.78 | | | |
% 20.59/3.78 | | | | CLOSE: (396) is inconsistent.
% 20.59/3.78 | | | |
% 20.59/3.78 | | | End of split
% 20.59/3.78 | | |
% 20.59/3.78 | | Case 2:
% 20.59/3.78 | | |
% 20.59/3.78 | | | (397) ~ (all_32_1 = 0)
% 20.59/3.78 | | |
% 20.59/3.78 | | | REDUCE: (83), (397) imply:
% 20.59/3.78 | | | (398) $false
% 20.59/3.78 | | |
% 20.59/3.78 | | | CLOSE: (398) is inconsistent.
% 20.59/3.78 | | |
% 20.59/3.78 | | End of split
% 20.59/3.78 | |
% 20.59/3.78 | End of split
% 20.59/3.78 |
% 20.59/3.78 End of proof
% 20.59/3.78 % SZS output end Proof for theBenchmark
% 20.59/3.78
% 20.59/3.78 3175ms
%------------------------------------------------------------------------------