TSTP Solution File: GEO202+3 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : GEO202+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n017.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 23:22:15 EDT 2023
% Result : Theorem 27.20s 4.49s
% Output : Proof 40.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GEO202+3 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.11 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.10/0.31 % Computer : n017.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 29 18:42:58 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.17/0.60 ________ _____
% 0.17/0.60 ___ __ \_________(_)________________________________
% 0.17/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.17/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.17/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.17/0.60
% 0.17/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.17/0.60 (2023-06-19)
% 0.17/0.60
% 0.17/0.60 (c) Philipp Rümmer, 2009-2023
% 0.17/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.17/0.60 Amanda Stjerna.
% 0.17/0.60 Free software under BSD-3-Clause.
% 0.17/0.60
% 0.17/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.17/0.60
% 0.17/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.17/0.62 Running up to 7 provers in parallel.
% 0.17/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.17/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.17/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.17/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.17/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.17/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.17/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 3.34/1.24 Prover 4: Preprocessing ...
% 3.34/1.24 Prover 1: Preprocessing ...
% 3.34/1.31 Prover 0: Preprocessing ...
% 3.34/1.31 Prover 3: Preprocessing ...
% 3.34/1.31 Prover 6: Preprocessing ...
% 3.34/1.32 Prover 5: Preprocessing ...
% 3.34/1.32 Prover 2: Preprocessing ...
% 8.19/1.91 Prover 2: Proving ...
% 8.19/1.92 Prover 5: Proving ...
% 8.81/2.03 Prover 6: Constructing countermodel ...
% 8.81/2.03 Prover 3: Constructing countermodel ...
% 8.81/2.04 Prover 1: Constructing countermodel ...
% 9.81/2.25 Prover 3: gave up
% 9.81/2.26 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 11.16/2.33 Prover 6: gave up
% 11.16/2.36 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 11.67/2.42 Prover 7: Preprocessing ...
% 11.67/2.44 Prover 8: Preprocessing ...
% 12.36/2.49 Prover 4: Constructing countermodel ...
% 12.66/2.58 Prover 0: Proving ...
% 12.66/2.59 Prover 1: gave up
% 12.66/2.60 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 13.39/2.62 Prover 7: Warning: ignoring some quantifiers
% 13.39/2.66 Prover 9: Preprocessing ...
% 13.39/2.67 Prover 7: Constructing countermodel ...
% 13.97/2.71 Prover 8: Warning: ignoring some quantifiers
% 13.97/2.75 Prover 8: Constructing countermodel ...
% 16.80/3.09 Prover 8: gave up
% 16.80/3.12 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 16.80/3.12 Prover 7: gave up
% 16.80/3.14 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 17.40/3.17 Prover 10: Preprocessing ...
% 17.54/3.20 Prover 9: Constructing countermodel ...
% 17.84/3.23 Prover 11: Preprocessing ...
% 17.99/3.29 Prover 10: Warning: ignoring some quantifiers
% 18.63/3.33 Prover 10: Constructing countermodel ...
% 20.01/3.59 Prover 10: gave up
% 20.01/3.60 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391
% 20.84/3.69 Prover 12: Preprocessing ...
% 22.72/3.91 Prover 11: Constructing countermodel ...
% 24.26/4.10 Prover 12: Proving ...
% 27.20/4.49 Prover 0: proved (3853ms)
% 27.20/4.49
% 27.20/4.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.20/4.49
% 27.20/4.49 Prover 9: stopped
% 27.20/4.49 Prover 12: stopped
% 27.20/4.51 Prover 2: stopped
% 27.20/4.51 Prover 5: stopped
% 27.20/4.51 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 27.20/4.51 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 27.20/4.51 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 27.20/4.55 Prover 16: Preprocessing ...
% 27.20/4.55 Prover 13: Preprocessing ...
% 27.79/4.56 Prover 19: Preprocessing ...
% 28.23/4.62 Prover 16: Warning: ignoring some quantifiers
% 28.23/4.62 Prover 13: Warning: ignoring some quantifiers
% 28.23/4.63 Prover 16: Constructing countermodel ...
% 28.23/4.63 Prover 13: Constructing countermodel ...
% 28.42/4.68 Prover 19: Warning: ignoring some quantifiers
% 28.42/4.69 Prover 19: Constructing countermodel ...
% 30.05/4.88 Prover 19: gave up
% 30.05/4.93 Prover 13: gave up
% 34.01/5.49 Prover 16: gave up
% 38.57/6.36 Prover 4: Found proof (size 572)
% 38.57/6.36 Prover 4: proved (5733ms)
% 38.57/6.36 Prover 11: stopped
% 38.57/6.36
% 38.57/6.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 38.57/6.36
% 38.91/6.50 % SZS output start Proof for theBenchmark
% 38.91/6.51 Assumptions after simplification:
% 38.91/6.51 ---------------------------------
% 38.91/6.51
% 38.91/6.51 (apart3)
% 39.29/6.54 ! [v0: $i] : ( ~ (convergent_lines(v0, v0) = 0) | ~ $i(v0))
% 39.29/6.54
% 39.29/6.54 (ax1)
% 39.29/6.55 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (equal_points(v0, v1)
% 39.29/6.55 = v2) | ~ $i(v1) | ~ $i(v0) | distinct_points(v0, v1) = 0) & ! [v0: $i]
% 39.29/6.55 : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (distinct_points(v0, v1) = v2) |
% 39.29/6.55 ~ $i(v1) | ~ $i(v0) | equal_points(v0, v1) = 0) & ! [v0: $i] : ! [v1: $i]
% 39.29/6.55 : ( ~ (equal_points(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: int] : ( ~
% 39.29/6.55 (v2 = 0) & distinct_points(v0, v1) = v2)) & ! [v0: $i] : ! [v1: $i] : (
% 39.29/6.55 ~ (distinct_points(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: int] : ( ~
% 39.29/6.55 (v2 = 0) & equal_points(v0, v1) = v2))
% 39.29/6.55
% 39.29/6.55 (ceq3)
% 39.29/6.55 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 =
% 39.29/6.55 0 | v3 = 0 | ~ (convergent_lines(v0, v2) = v4) | ~ (distinct_lines(v1, v2)
% 39.29/6.55 = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 = 0) &
% 39.29/6.55 convergent_lines(v0, v1) = v5)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 39.29/6.55 : ! [v3: int] : (v3 = 0 | ~ (convergent_lines(v0, v2) = v3) | ~
% 39.29/6.55 (convergent_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 39.29/6.55 distinct_lines(v1, v2) = 0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 39.29/6.55 [v3: int] : (v3 = 0 | ~ (convergent_lines(v0, v1) = 0) | ~
% 39.29/6.55 (distinct_lines(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 39.29/6.55 convergent_lines(v0, v2) = 0)
% 39.29/6.55
% 39.29/6.55 (ci1)
% 39.29/6.56 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (line_connecting(v0, v1) = v2) |
% 39.29/6.56 ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 39.29/6.56 (apart_point_and_line(v0, v2) = v4 & distinct_points(v0, v1) = v3 & ( ~ (v4
% 39.29/6.56 = 0) | ~ (v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 39.29/6.56 (distinct_points(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : ?
% 39.29/6.56 [v3: int] : ( ~ (v3 = 0) & line_connecting(v0, v1) = v2 &
% 39.29/6.56 apart_point_and_line(v0, v2) = v3 & $i(v2)))
% 39.29/6.56
% 39.29/6.56 (ci2)
% 39.29/6.56 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (line_connecting(v0, v1) = v2) |
% 39.29/6.56 ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 39.29/6.56 (apart_point_and_line(v1, v2) = v4 & distinct_points(v0, v1) = v3 & ( ~ (v4
% 39.29/6.56 = 0) | ~ (v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 39.29/6.56 (distinct_points(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : ?
% 39.29/6.56 [v3: int] : ( ~ (v3 = 0) & line_connecting(v0, v1) = v2 &
% 39.29/6.56 apart_point_and_line(v1, v2) = v3 & $i(v2)))
% 39.29/6.56
% 39.29/6.56 (ci3)
% 39.29/6.56 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0, v1) =
% 39.29/6.56 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 39.29/6.56 (apart_point_and_line(v2, v0) = v4 & convergent_lines(v0, v1) = v3 & ( ~ (v4
% 39.29/6.56 = 0) | ~ (v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 39.29/6.56 (convergent_lines(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : ?
% 39.29/6.56 [v3: int] : ( ~ (v3 = 0) & intersection_point(v0, v1) = v2 &
% 39.29/6.56 apart_point_and_line(v2, v0) = v3 & $i(v2)))
% 39.29/6.56
% 39.29/6.56 (ci4)
% 39.29/6.57 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0, v1) =
% 39.29/6.57 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 39.29/6.57 (apart_point_and_line(v2, v1) = v4 & convergent_lines(v0, v1) = v3 & ( ~ (v4
% 39.29/6.57 = 0) | ~ (v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 39.29/6.57 (convergent_lines(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : ?
% 39.29/6.57 [v3: int] : ( ~ (v3 = 0) & intersection_point(v0, v1) = v2 &
% 39.29/6.57 apart_point_and_line(v2, v1) = v3 & $i(v2)))
% 39.29/6.57
% 39.29/6.57 (con)
% 39.29/6.57 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 39.29/6.57 $i] : ? [v6: int] : ( ~ (v6 = 0) & equal_points(v5, v0) = v6 &
% 39.29/6.57 intersection_point(v3, v4) = v5 & line_connecting(v0, v2) = v4 &
% 39.29/6.57 line_connecting(v0, v1) = v3 & convergent_lines(v3, v4) = 0 &
% 39.29/6.57 distinct_points(v0, v2) = 0 & distinct_points(v0, v1) = 0 & $i(v5) & $i(v4)
% 39.29/6.57 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 39.29/6.57
% 39.29/6.57 (con1)
% 39.29/6.57 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (line_connecting(v0, v1) = v2) |
% 39.29/6.57 ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6:
% 39.29/6.57 any] : (point(v1) = v4 & point(v0) = v3 & line(v2) = v6 &
% 39.29/6.57 distinct_points(v0, v1) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) |
% 39.29/6.57 v6 = 0))) & ! [v0: $i] : ! [v1: $i] : ( ~ (distinct_points(v0, v1) =
% 39.29/6.57 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: $i] :
% 39.29/6.57 ? [v5: any] : (point(v1) = v3 & point(v0) = v2 & line(v4) = v5 &
% 39.29/6.57 line_connecting(v0, v1) = v4 & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 =
% 39.29/6.57 0)))
% 39.29/6.57
% 39.29/6.57 (cotno1)
% 39.58/6.59 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] : ( ~
% 39.58/6.59 (unorthogonal_lines(v0, v2) = v4) | ~ (unorthogonal_lines(v0, v1) = v3) |
% 39.58/6.59 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7:
% 39.58/6.59 any] : ? [v8: any] : (unorthogonal_lines(v1, v2) = v8 &
% 39.58/6.59 convergent_lines(v1, v2) = v7 & convergent_lines(v0, v2) = v6 &
% 39.58/6.59 convergent_lines(v0, v1) = v5 & ( ~ (v8 = 0) | ~ (v7 = 0) | (v6 = 0 & v4
% 39.58/6.59 = 0) | (v5 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 39.58/6.59 : ! [v3: any] : ! [v4: any] : ( ~ (unorthogonal_lines(v0, v2) = v4) | ~
% 39.58/6.59 (convergent_lines(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 39.58/6.59 [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 39.58/6.59 (unorthogonal_lines(v1, v2) = v8 & unorthogonal_lines(v0, v1) = v5 &
% 39.58/6.59 convergent_lines(v1, v2) = v7 & convergent_lines(v0, v2) = v6 & ( ~ (v8 =
% 39.58/6.59 0) | ~ (v7 = 0) | (v6 = 0 & v4 = 0) | (v5 = 0 & v3 = 0)))) & ! [v0:
% 39.58/6.59 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] : ( ~
% 39.58/6.59 (unorthogonal_lines(v0, v1) = v3) | ~ (convergent_lines(v0, v2) = v4) | ~
% 39.58/6.59 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any]
% 39.58/6.59 : ? [v8: any] : (unorthogonal_lines(v1, v2) = v8 & unorthogonal_lines(v0,
% 39.58/6.59 v2) = v6 & convergent_lines(v1, v2) = v7 & convergent_lines(v0, v1) = v5
% 39.58/6.59 & ( ~ (v8 = 0) | ~ (v7 = 0) | (v6 = 0 & v4 = 0) | (v5 = 0 & v3 = 0)))) &
% 39.58/6.59 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] : ( ~
% 39.58/6.59 (convergent_lines(v0, v2) = v4) | ~ (convergent_lines(v0, v1) = v3) | ~
% 39.58/6.59 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any]
% 39.58/6.59 : ? [v8: any] : (unorthogonal_lines(v1, v2) = v8 & unorthogonal_lines(v0,
% 39.58/6.59 v2) = v6 & unorthogonal_lines(v0, v1) = v5 & convergent_lines(v1, v2) =
% 39.58/6.59 v7 & ( ~ (v8 = 0) | ~ (v7 = 0) | (v6 = 0 & v4 = 0) | (v5 = 0 & v3 = 0))))
% 39.58/6.59 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~
% 39.58/6.59 (unorthogonal_lines(v1, v2) = 0) | ~ (unorthogonal_lines(v0, v2) = v3) | ~
% 39.58/6.59 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: any]
% 39.58/6.59 : ? [v7: any] : (unorthogonal_lines(v0, v1) = v5 & convergent_lines(v1, v2)
% 39.58/6.59 = v7 & convergent_lines(v0, v2) = v6 & convergent_lines(v0, v1) = v4 & ( ~
% 39.58/6.59 (v7 = 0) | (v6 = 0 & v3 = 0) | (v5 = 0 & v4 = 0)))) & ! [v0: $i] : !
% 39.58/6.59 [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v1, v2) = 0) |
% 39.58/6.59 ~ (unorthogonal_lines(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 39.58/6.59 ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 39.58/6.59 (unorthogonal_lines(v0, v2) = v6 & convergent_lines(v1, v2) = v7 &
% 39.58/6.59 convergent_lines(v0, v2) = v5 & convergent_lines(v0, v1) = v4 & ( ~ (v7 =
% 39.58/6.59 0) | (v6 = 0 & v5 = 0) | (v4 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1:
% 39.58/6.59 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v1, v2) = 0) | ~
% 39.58/6.59 (convergent_lines(v0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 39.58/6.59 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 39.58/6.60 (unorthogonal_lines(v0, v2) = v6 & unorthogonal_lines(v0, v1) = v5 &
% 39.58/6.60 convergent_lines(v1, v2) = v7 & convergent_lines(v0, v1) = v4 & ( ~ (v7 =
% 39.58/6.60 0) | (v6 = 0 & v3 = 0) | (v5 = 0 & v4 = 0)))) & ! [v0: $i] : ! [v1:
% 39.58/6.60 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v1, v2) = 0) | ~
% 39.58/6.60 (convergent_lines(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 39.58/6.60 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 39.58/6.60 (unorthogonal_lines(v0, v2) = v6 & unorthogonal_lines(v0, v1) = v4 &
% 39.58/6.60 convergent_lines(v1, v2) = v7 & convergent_lines(v0, v2) = v5 & ( ~ (v7 =
% 39.58/6.60 0) | (v6 = 0 & v5 = 0) | (v4 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1:
% 39.58/6.60 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v0, v2) = v3) |
% 39.58/6.60 ~ (convergent_lines(v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 39.58/6.60 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 39.58/6.60 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v1) = v5 &
% 39.58/6.60 convergent_lines(v0, v2) = v6 & convergent_lines(v0, v1) = v4 & ( ~ (v7 =
% 39.58/6.60 0) | (v6 = 0 & v3 = 0) | (v5 = 0 & v4 = 0)))) & ! [v0: $i] : ! [v1:
% 39.58/6.60 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v0, v1) = v3) |
% 39.58/6.60 ~ (convergent_lines(v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 39.58/6.60 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 39.58/6.60 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v2) = v6 &
% 39.58/6.60 convergent_lines(v0, v2) = v5 & convergent_lines(v0, v1) = v4 & ( ~ (v7 =
% 39.58/6.60 0) | (v6 = 0 & v5 = 0) | (v4 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1:
% 39.58/6.60 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (convergent_lines(v1, v2) = 0) | ~
% 39.58/6.60 (convergent_lines(v0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 39.58/6.60 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 39.58/6.60 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v2) = v6 &
% 39.58/6.60 unorthogonal_lines(v0, v1) = v5 & convergent_lines(v0, v1) = v4 & ( ~ (v7
% 39.58/6.60 = 0) | (v6 = 0 & v3 = 0) | (v5 = 0 & v4 = 0)))) & ! [v0: $i] : !
% 39.58/6.60 [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ (convergent_lines(v1, v2) = 0) |
% 39.58/6.60 ~ (convergent_lines(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 39.58/6.60 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 39.58/6.60 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v2) = v6 &
% 39.58/6.60 unorthogonal_lines(v0, v1) = v4 & convergent_lines(v0, v2) = v5 & ( ~ (v7
% 39.58/6.60 = 0) | (v6 = 0 & v5 = 0) | (v4 = 0 & v3 = 0))))
% 39.58/6.60
% 39.58/6.60 (cu1)
% 39.58/6.61 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5:
% 39.58/6.61 int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = v5) | ~
% 39.58/6.61 (apart_point_and_line(v1, v2) = v4) | ~ (distinct_points(v0, v1) = 0) | ~
% 39.58/6.61 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] :
% 39.58/6.61 ? [v8: any] : (apart_point_and_line(v0, v3) = v8 & apart_point_and_line(v0,
% 39.58/6.61 v2) = v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 =
% 39.58/6.61 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4:
% 39.58/6.61 int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) =
% 39.58/6.61 v5) | ~ (apart_point_and_line(v0, v3) = v4) | ~ (distinct_lines(v2, v3)
% 39.58/6.61 = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ?
% 39.58/6.61 [v7: any] : ? [v8: any] : (apart_point_and_line(v1, v2) = v8 &
% 39.58/6.61 apart_point_and_line(v0, v2) = v7 & distinct_points(v0, v1) = v6 & ( ~ (v6
% 39.58/6.61 = 0) | v8 = 0 | v7 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 39.58/6.61 ! [v3: $i] : ! [v4: int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~
% 39.58/6.61 (apart_point_and_line(v1, v3) = v5) | ~ (apart_point_and_line(v0, v2) = v4)
% 39.58/6.61 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7:
% 39.58/6.61 any] : ? [v8: any] : ? [v9: any] : (apart_point_and_line(v1, v2) = v9 &
% 39.58/6.61 apart_point_and_line(v0, v3) = v8 & distinct_lines(v2, v3) = v7 &
% 39.58/6.61 distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0 | v8 =
% 39.58/6.61 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4:
% 39.58/6.61 int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v2) =
% 39.58/6.61 v5) | ~ (apart_point_and_line(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~
% 39.58/6.61 $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9:
% 39.58/6.61 any] : (apart_point_and_line(v1, v3) = v9 & apart_point_and_line(v0, v2) =
% 39.58/6.61 v8 & distinct_lines(v2, v3) = v7 & distinct_points(v0, v1) = v6 & ( ~ (v7
% 39.58/6.61 = 0) | ~ (v6 = 0) | v9 = 0 | v8 = 0))) & ! [v0: $i] : ! [v1: $i] :
% 39.58/6.61 ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~
% 39.58/6.61 (apart_point_and_line(v1, v2) = v5) | ~ (apart_point_and_line(v0, v2) = v4)
% 39.58/6.61 | ~ (distinct_lines(v2, v3) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 39.58/6.61 $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 39.58/6.61 (apart_point_and_line(v1, v3) = v8 & apart_point_and_line(v0, v3) = v7 &
% 39.58/6.61 distinct_points(v0, v1) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0))) & ! [v0:
% 39.58/6.61 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: int]
% 39.58/6.61 : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v0, v3) = v5) | ~
% 39.58/6.61 (apart_point_and_line(v0, v2) = v4) | ~ (distinct_points(v0, v1) = 0) | ~
% 39.58/6.61 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] :
% 39.58/6.61 ? [v8: any] : (apart_point_and_line(v1, v3) = v8 & apart_point_and_line(v1,
% 39.58/6.61 v2) = v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 =
% 39.58/6.61 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 39.58/6.61 (distinct_lines(v2, v3) = 0) | ~ (distinct_points(v0, v1) = 0) | ~ $i(v3)
% 39.58/6.61 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6:
% 39.58/6.61 any] : ? [v7: any] : (apart_point_and_line(v1, v3) = v7 &
% 39.58/6.61 apart_point_and_line(v1, v2) = v6 & apart_point_and_line(v0, v3) = v5 &
% 39.58/6.61 apart_point_and_line(v0, v2) = v4 & (v7 = 0 | v6 = 0 | v5 = 0 | v4 = 0)))
% 39.58/6.61
% 39.58/6.61 (cup1)
% 39.58/6.62 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 =
% 39.58/6.62 0 | v3 = 0 | ~ (apart_point_and_line(v0, v2) = v4) | ~
% 39.58/6.62 (apart_point_and_line(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 39.58/6.62 [v5: any] : ? [v6: any] : (convergent_lines(v1, v2) = v6 &
% 39.58/6.62 distinct_lines(v1, v2) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v0: $i] : !
% 39.58/6.62 [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 = 0 | v3 = 0 | ~
% 39.58/6.62 (apart_point_and_line(v0, v2) = v3) | ~ (convergent_lines(v1, v2) = v4) |
% 39.58/6.62 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] :
% 39.58/6.62 (apart_point_and_line(v0, v1) = v6 & distinct_lines(v1, v2) = v5 & ( ~ (v5 =
% 39.58/6.62 0) | v6 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 39.58/6.62 int] : ! [v4: int] : (v4 = 0 | v3 = 0 | ~ (apart_point_and_line(v0, v1) =
% 39.58/6.62 v3) | ~ (convergent_lines(v1, v2) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 39.58/6.62 $i(v0) | ? [v5: any] : ? [v6: any] : (apart_point_and_line(v0, v2) = v6 &
% 39.58/6.62 distinct_lines(v1, v2) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v0: $i] : !
% 39.58/6.62 [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (apart_point_and_line(v0,
% 39.58/6.62 v2) = v3) | ~ (distinct_lines(v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~
% 39.58/6.62 $i(v0) | ? [v4: any] : ? [v5: any] : (apart_point_and_line(v0, v1) = v4 &
% 39.58/6.62 convergent_lines(v1, v2) = v5 & (v5 = 0 | v4 = 0))) & ! [v0: $i] : !
% 39.58/6.62 [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (apart_point_and_line(v0,
% 39.58/6.62 v1) = v3) | ~ (distinct_lines(v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~
% 39.58/6.62 $i(v0) | ? [v4: any] : ? [v5: any] : (apart_point_and_line(v0, v2) = v4 &
% 39.58/6.62 convergent_lines(v1, v2) = v5 & (v5 = 0 | v4 = 0)))
% 39.58/6.62
% 39.58/6.62 (int1)
% 39.58/6.62 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0, v1) =
% 39.58/6.62 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 39.58/6.62 ? [v6: any] : (point(v2) = v6 & line(v1) = v4 & line(v0) = v3 &
% 39.58/6.62 convergent_lines(v0, v1) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) |
% 39.58/6.62 v6 = 0))) & ! [v0: $i] : ! [v1: $i] : ( ~ (convergent_lines(v0, v1) =
% 39.58/6.62 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: $i] :
% 39.58/6.62 ? [v5: any] : (point(v4) = v5 & line(v1) = v3 & line(v0) = v2 &
% 39.58/6.62 intersection_point(v0, v1) = v4 & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | v5
% 39.58/6.62 = 0)))
% 39.58/6.62
% 39.58/6.62 (oac1)
% 39.58/6.64 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] : ( ~
% 39.58/6.64 (unorthogonal_lines(v1, v2) = v4) | ~ (unorthogonal_lines(v0, v2) = v3) |
% 39.58/6.64 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7:
% 39.58/6.64 any] : ? [v8: any] : (unorthogonal_lines(v0, v1) = v6 &
% 39.58/6.64 convergent_lines(v1, v2) = v8 & convergent_lines(v0, v2) = v7 &
% 39.58/6.64 convergent_lines(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | (v8 = 0 & v4
% 39.58/6.64 = 0) | (v7 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 39.58/6.64 : ! [v3: any] : ! [v4: any] : ( ~ (unorthogonal_lines(v1, v2) = v4) | ~
% 39.58/6.64 (convergent_lines(v0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 39.58/6.64 [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 39.58/6.64 (unorthogonal_lines(v0, v2) = v7 & unorthogonal_lines(v0, v1) = v6 &
% 39.58/6.64 convergent_lines(v1, v2) = v8 & convergent_lines(v0, v1) = v5 & ( ~ (v6 =
% 39.58/6.64 0) | ~ (v5 = 0) | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0)))) & ! [v0:
% 39.58/6.64 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] : ( ~
% 39.58/6.64 (unorthogonal_lines(v0, v2) = v3) | ~ (convergent_lines(v1, v2) = v4) | ~
% 39.58/6.64 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any]
% 39.58/6.64 : ? [v8: any] : (unorthogonal_lines(v1, v2) = v8 & unorthogonal_lines(v0,
% 39.58/6.64 v1) = v6 & convergent_lines(v0, v2) = v7 & convergent_lines(v0, v1) = v5
% 39.58/6.64 & ( ~ (v6 = 0) | ~ (v5 = 0) | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0)))) &
% 39.58/6.64 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] : ( ~
% 39.58/6.64 (convergent_lines(v1, v2) = v4) | ~ (convergent_lines(v0, v2) = v3) | ~
% 39.58/6.64 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any]
% 39.58/6.64 : ? [v8: any] : (unorthogonal_lines(v1, v2) = v8 & unorthogonal_lines(v0,
% 39.58/6.64 v2) = v7 & unorthogonal_lines(v0, v1) = v6 & convergent_lines(v0, v1) =
% 39.58/6.64 v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0))))
% 39.58/6.64 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~
% 39.58/6.64 (unorthogonal_lines(v1, v2) = v3) | ~ (unorthogonal_lines(v0, v1) = 0) | ~
% 39.58/6.64 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: any]
% 39.58/6.64 : ? [v7: any] : (unorthogonal_lines(v0, v2) = v6 & convergent_lines(v1, v2)
% 39.58/6.64 = v7 & convergent_lines(v0, v2) = v5 & convergent_lines(v0, v1) = v4 & ( ~
% 39.58/6.64 (v4 = 0) | (v7 = 0 & v3 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0: $i] : !
% 39.58/6.64 [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v1, v2) = v3)
% 39.58/6.64 | ~ (convergent_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 39.58/6.64 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 39.58/6.64 (unorthogonal_lines(v0, v2) = v6 & unorthogonal_lines(v0, v1) = v4 &
% 39.58/6.64 convergent_lines(v1, v2) = v7 & convergent_lines(v0, v2) = v5 & ( ~ (v4 =
% 39.58/6.64 0) | (v7 = 0 & v3 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0: $i] : ! [v1:
% 39.58/6.64 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v0, v2) = v3) |
% 39.58/6.64 ~ (unorthogonal_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 39.58/6.64 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 39.58/6.64 (unorthogonal_lines(v1, v2) = v7 & convergent_lines(v1, v2) = v6 &
% 39.58/6.64 convergent_lines(v0, v2) = v5 & convergent_lines(v0, v1) = v4 & ( ~ (v4 =
% 39.58/6.64 0) | (v7 = 0 & v6 = 0) | (v5 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1:
% 39.58/6.64 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v0, v2) = v3) |
% 39.58/6.64 ~ (convergent_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 39.58/6.64 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 39.58/6.64 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v1) = v4 &
% 39.58/6.64 convergent_lines(v1, v2) = v6 & convergent_lines(v0, v2) = v5 & ( ~ (v4 =
% 39.58/6.64 0) | (v7 = 0 & v6 = 0) | (v5 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1:
% 39.58/6.64 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v0, v1) = 0) | ~
% 39.58/6.64 (convergent_lines(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 39.58/6.65 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 39.58/6.65 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v2) = v6 &
% 39.58/6.65 convergent_lines(v0, v2) = v5 & convergent_lines(v0, v1) = v4 & ( ~ (v4 =
% 39.58/6.65 0) | (v7 = 0 & v3 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0: $i] : ! [v1:
% 39.58/6.65 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v0, v1) = 0) | ~
% 39.58/6.65 (convergent_lines(v0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 39.58/6.65 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 39.58/6.65 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v2) = v5 &
% 39.58/6.65 convergent_lines(v1, v2) = v6 & convergent_lines(v0, v1) = v4 & ( ~ (v4 =
% 39.58/6.65 0) | (v7 = 0 & v6 = 0) | (v5 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1:
% 39.58/6.65 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (convergent_lines(v1, v2) = v3) | ~
% 39.58/6.65 (convergent_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4:
% 39.58/6.65 any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 39.58/6.65 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v2) = v6 &
% 39.58/6.65 unorthogonal_lines(v0, v1) = v4 & convergent_lines(v0, v2) = v5 & ( ~ (v4
% 39.58/6.65 = 0) | (v7 = 0 & v3 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0: $i] : !
% 39.58/6.65 [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ (convergent_lines(v0, v2) = v3) |
% 39.58/6.65 ~ (convergent_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 39.58/6.65 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 39.58/6.65 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v2) = v5 &
% 39.58/6.65 unorthogonal_lines(v0, v1) = v4 & convergent_lines(v1, v2) = v6 & ( ~ (v4
% 39.58/6.65 = 0) | (v7 = 0 & v6 = 0) | (v5 = 0 & v3 = 0))))
% 39.58/6.65
% 39.58/6.65 (function-axioms)
% 39.58/6.65 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 39.58/6.65 [v3: $i] : (v1 = v0 | ~ (orthogonal_lines(v3, v2) = v1) | ~
% 39.58/6.65 (orthogonal_lines(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 39.58/6.65 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 39.58/6.65 (incident_point_and_line(v3, v2) = v1) | ~ (incident_point_and_line(v3, v2)
% 39.58/6.65 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 39.58/6.65 $i] : ! [v3: $i] : (v1 = v0 | ~ (parallel_lines(v3, v2) = v1) | ~
% 39.58/6.65 (parallel_lines(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 39.58/6.65 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 39.58/6.65 (equal_lines(v3, v2) = v1) | ~ (equal_lines(v3, v2) = v0)) & ! [v0:
% 39.58/6.65 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 39.58/6.65 : (v1 = v0 | ~ (equal_points(v3, v2) = v1) | ~ (equal_points(v3, v2) = v0))
% 39.58/6.65 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 39.58/6.65 (orthogonal_through_point(v3, v2) = v1) | ~ (orthogonal_through_point(v3,
% 39.58/6.65 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 39.58/6.65 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (unorthogonal_lines(v3, v2) = v1) |
% 39.58/6.65 ~ (unorthogonal_lines(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 39.58/6.65 $i] : ! [v3: $i] : (v1 = v0 | ~ (parallel_through_point(v3, v2) = v1) | ~
% 39.58/6.65 (parallel_through_point(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 39.58/6.65 $i] : ! [v3: $i] : (v1 = v0 | ~ (intersection_point(v3, v2) = v1) | ~
% 39.58/6.65 (intersection_point(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 39.58/6.65 : ! [v3: $i] : (v1 = v0 | ~ (line_connecting(v3, v2) = v1) | ~
% 39.58/6.65 (line_connecting(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 39.58/6.65 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 39.58/6.65 (apart_point_and_line(v3, v2) = v1) | ~ (apart_point_and_line(v3, v2) =
% 39.58/6.65 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 39.58/6.65 $i] : ! [v3: $i] : (v1 = v0 | ~ (convergent_lines(v3, v2) = v1) | ~
% 39.58/6.65 (convergent_lines(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 39.58/6.65 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 39.58/6.65 (distinct_lines(v3, v2) = v1) | ~ (distinct_lines(v3, v2) = v0)) & ! [v0:
% 39.58/6.65 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 39.58/6.65 : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~ (distinct_points(v3, v2) =
% 39.58/6.65 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 39.58/6.66 $i] : (v1 = v0 | ~ (point(v2) = v1) | ~ (point(v2) = v0)) & ! [v0:
% 39.58/6.66 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 39.58/6.66 ~ (line(v2) = v1) | ~ (line(v2) = v0))
% 39.58/6.66
% 39.58/6.66 Further assumptions not needed in the proof:
% 39.58/6.66 --------------------------------------------
% 39.93/6.66 a3, a4, a5, apart1, apart2, apart4, apart5, ax2, ax6, ceq1, ceq2, coipo1, couo1,
% 39.93/6.66 cp1, cp2, occu1, ooc1, ooc2, orth1, ouo1, p1, par1
% 39.93/6.66
% 39.93/6.66 Those formulas are unsatisfiable:
% 39.93/6.66 ---------------------------------
% 39.93/6.66
% 39.93/6.66 Begin of proof
% 39.93/6.66 |
% 39.93/6.66 | ALPHA: (ci1) implies:
% 39.93/6.66 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (distinct_points(v0, v1) = 0) | ~
% 39.93/6.66 | $i(v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) &
% 39.93/6.66 | line_connecting(v0, v1) = v2 & apart_point_and_line(v0, v2) = v3 &
% 39.93/6.66 | $i(v2)))
% 39.93/6.66 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (line_connecting(v0, v1)
% 39.93/6.66 | = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 39.93/6.66 | (apart_point_and_line(v0, v2) = v4 & distinct_points(v0, v1) = v3 & (
% 39.93/6.66 | ~ (v4 = 0) | ~ (v3 = 0))))
% 39.93/6.66 |
% 39.93/6.66 | ALPHA: (ci2) implies:
% 39.93/6.66 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ (distinct_points(v0, v1) = 0) | ~
% 39.93/6.66 | $i(v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) &
% 39.93/6.66 | line_connecting(v0, v1) = v2 & apart_point_and_line(v1, v2) = v3 &
% 39.93/6.66 | $i(v2)))
% 39.93/6.66 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (line_connecting(v0, v1)
% 39.93/6.66 | = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 39.93/6.66 | (apart_point_and_line(v1, v2) = v4 & distinct_points(v0, v1) = v3 & (
% 39.93/6.66 | ~ (v4 = 0) | ~ (v3 = 0))))
% 39.93/6.66 |
% 39.93/6.66 | ALPHA: (ci3) implies:
% 39.93/6.67 | (5) ! [v0: $i] : ! [v1: $i] : ( ~ (convergent_lines(v0, v1) = 0) | ~
% 39.93/6.67 | $i(v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) &
% 39.93/6.67 | intersection_point(v0, v1) = v2 & apart_point_and_line(v2, v0) = v3
% 39.93/6.67 | & $i(v2)))
% 39.98/6.67 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0,
% 39.98/6.67 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 39.98/6.67 | (apart_point_and_line(v2, v0) = v4 & convergent_lines(v0, v1) = v3 &
% 39.98/6.67 | ( ~ (v4 = 0) | ~ (v3 = 0))))
% 39.98/6.67 |
% 39.98/6.67 | ALPHA: (ci4) implies:
% 39.98/6.67 | (7) ! [v0: $i] : ! [v1: $i] : ( ~ (convergent_lines(v0, v1) = 0) | ~
% 39.98/6.67 | $i(v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) &
% 39.98/6.67 | intersection_point(v0, v1) = v2 & apart_point_and_line(v2, v1) = v3
% 39.98/6.67 | & $i(v2)))
% 39.98/6.67 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0,
% 39.98/6.67 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 39.98/6.67 | (apart_point_and_line(v2, v1) = v4 & convergent_lines(v0, v1) = v3 &
% 39.98/6.67 | ( ~ (v4 = 0) | ~ (v3 = 0))))
% 39.98/6.67 |
% 39.98/6.67 | ALPHA: (cu1) implies:
% 39.98/6.67 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 39.98/6.67 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v0, v3) = v5)
% 39.98/6.67 | | ~ (apart_point_and_line(v0, v2) = v4) | ~ (distinct_points(v0,
% 39.98/6.67 | v1) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 39.98/6.67 | [v6: any] : ? [v7: any] : ? [v8: any] : (apart_point_and_line(v1,
% 39.98/6.67 | v3) = v8 & apart_point_and_line(v1, v2) = v7 & distinct_lines(v2,
% 39.98/6.67 | v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0)))
% 39.98/6.67 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 39.98/6.67 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v2) =
% 39.98/6.67 | v5) | ~ (apart_point_and_line(v0, v3) = v4) | ~ $i(v3) | ~
% 39.98/6.67 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ?
% 39.98/6.67 | [v8: any] : ? [v9: any] : (apart_point_and_line(v1, v3) = v9 &
% 39.98/6.67 | apart_point_and_line(v0, v2) = v8 & distinct_lines(v2, v3) = v7 &
% 39.98/6.67 | distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0
% 39.98/6.67 | | v8 = 0)))
% 39.98/6.68 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 39.98/6.68 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) =
% 39.98/6.68 | v5) | ~ (apart_point_and_line(v0, v2) = v4) | ~ $i(v3) | ~
% 39.98/6.68 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ?
% 39.98/6.68 | [v8: any] : ? [v9: any] : (apart_point_and_line(v1, v2) = v9 &
% 39.98/6.68 | apart_point_and_line(v0, v3) = v8 & distinct_lines(v2, v3) = v7 &
% 39.98/6.68 | distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0
% 39.98/6.68 | | v8 = 0)))
% 39.98/6.68 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 39.98/6.68 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) =
% 39.98/6.68 | v5) | ~ (apart_point_and_line(v1, v2) = v4) | ~
% 39.98/6.68 | (distinct_points(v0, v1) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) |
% 39.98/6.68 | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 39.98/6.68 | (apart_point_and_line(v0, v3) = v8 & apart_point_and_line(v0, v2) =
% 39.98/6.68 | v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 =
% 39.98/6.68 | 0)))
% 39.98/6.68 |
% 39.98/6.68 | ALPHA: (ceq3) implies:
% 39.98/6.68 | (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 39.98/6.68 | (convergent_lines(v0, v2) = v3) | ~ (convergent_lines(v0, v1) = 0)
% 39.98/6.68 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | distinct_lines(v1, v2) = 0)
% 39.98/6.68 |
% 39.98/6.68 | ALPHA: (cup1) implies:
% 39.98/6.68 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int]
% 39.98/6.68 | : (v4 = 0 | v3 = 0 | ~ (apart_point_and_line(v0, v2) = v4) | ~
% 39.98/6.68 | (apart_point_and_line(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 39.98/6.68 | $i(v0) | ? [v5: any] : ? [v6: any] : (convergent_lines(v1, v2) =
% 39.98/6.68 | v6 & distinct_lines(v1, v2) = v5 & ( ~ (v5 = 0) | v6 = 0)))
% 39.98/6.68 |
% 39.98/6.68 | ALPHA: (oac1) implies:
% 39.98/6.68 | (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~
% 39.98/6.68 | (convergent_lines(v0, v2) = v3) | ~ (convergent_lines(v0, v1) = 0)
% 39.98/6.68 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] :
% 39.98/6.68 | ? [v6: any] : ? [v7: any] : (unorthogonal_lines(v1, v2) = v7 &
% 39.98/6.68 | unorthogonal_lines(v0, v2) = v5 & unorthogonal_lines(v0, v1) = v4
% 39.98/6.68 | & convergent_lines(v1, v2) = v6 & ( ~ (v4 = 0) | (v7 = 0 & v6 = 0)
% 39.98/6.68 | | (v5 = 0 & v3 = 0))))
% 39.98/6.68 | (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~
% 39.98/6.68 | (unorthogonal_lines(v0, v2) = v3) | ~ (convergent_lines(v0, v1) =
% 39.98/6.68 | 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5:
% 39.98/6.68 | any] : ? [v6: any] : ? [v7: any] : (unorthogonal_lines(v1, v2) =
% 39.98/6.68 | v7 & unorthogonal_lines(v0, v1) = v4 & convergent_lines(v1, v2) =
% 39.98/6.68 | v6 & convergent_lines(v0, v2) = v5 & ( ~ (v4 = 0) | (v7 = 0 & v6 =
% 39.98/6.68 | 0) | (v5 = 0 & v3 = 0))))
% 39.98/6.68 | (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any]
% 39.98/6.68 | : ( ~ (convergent_lines(v1, v2) = v4) | ~ (convergent_lines(v0, v2) =
% 39.98/6.68 | v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6:
% 39.98/6.68 | any] : ? [v7: any] : ? [v8: any] : (unorthogonal_lines(v1, v2) =
% 39.98/6.68 | v8 & unorthogonal_lines(v0, v2) = v7 & unorthogonal_lines(v0, v1)
% 39.98/6.68 | = v6 & convergent_lines(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)
% 39.98/6.68 | | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0))))
% 39.98/6.69 | (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any]
% 39.98/6.69 | : ( ~ (unorthogonal_lines(v0, v2) = v3) | ~ (convergent_lines(v1, v2)
% 39.98/6.69 | = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6:
% 39.98/6.69 | any] : ? [v7: any] : ? [v8: any] : (unorthogonal_lines(v1, v2) =
% 39.98/6.69 | v8 & unorthogonal_lines(v0, v1) = v6 & convergent_lines(v0, v2) =
% 39.98/6.69 | v7 & convergent_lines(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) |
% 39.98/6.69 | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0))))
% 39.98/6.69 | (19) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any]
% 39.98/6.69 | : ( ~ (unorthogonal_lines(v1, v2) = v4) | ~ (convergent_lines(v0, v2)
% 39.98/6.69 | = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6:
% 39.98/6.69 | any] : ? [v7: any] : ? [v8: any] : (unorthogonal_lines(v0, v2) =
% 39.98/6.69 | v7 & unorthogonal_lines(v0, v1) = v6 & convergent_lines(v1, v2) =
% 39.98/6.69 | v8 & convergent_lines(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) |
% 39.98/6.69 | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0))))
% 39.98/6.69 | (20) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any]
% 39.98/6.69 | : ( ~ (unorthogonal_lines(v1, v2) = v4) | ~ (unorthogonal_lines(v0,
% 39.98/6.69 | v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] :
% 39.98/6.69 | ? [v6: any] : ? [v7: any] : ? [v8: any] : (unorthogonal_lines(v0,
% 39.98/6.69 | v1) = v6 & convergent_lines(v1, v2) = v8 & convergent_lines(v0,
% 39.98/6.69 | v2) = v7 & convergent_lines(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5
% 39.98/6.69 | = 0) | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0))))
% 39.98/6.69 |
% 39.98/6.69 | ALPHA: (cotno1) implies:
% 39.98/6.69 | (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~
% 39.98/6.69 | (convergent_lines(v1, v2) = 0) | ~ (convergent_lines(v0, v2) = v3)
% 39.98/6.69 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] :
% 39.98/6.69 | ? [v6: any] : ? [v7: any] : (unorthogonal_lines(v1, v2) = v7 &
% 39.98/6.69 | unorthogonal_lines(v0, v2) = v6 & unorthogonal_lines(v0, v1) = v5
% 39.98/6.69 | & convergent_lines(v0, v1) = v4 & ( ~ (v7 = 0) | (v6 = 0 & v3 = 0)
% 39.98/6.69 | | (v5 = 0 & v4 = 0))))
% 39.98/6.69 | (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any]
% 39.98/6.69 | : ( ~ (convergent_lines(v0, v2) = v4) | ~ (convergent_lines(v0, v1) =
% 39.98/6.69 | v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6:
% 39.98/6.69 | any] : ? [v7: any] : ? [v8: any] : (unorthogonal_lines(v1, v2) =
% 39.98/6.69 | v8 & unorthogonal_lines(v0, v2) = v6 & unorthogonal_lines(v0, v1)
% 39.98/6.69 | = v5 & convergent_lines(v1, v2) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0)
% 39.98/6.69 | | (v6 = 0 & v4 = 0) | (v5 = 0 & v3 = 0))))
% 39.98/6.69 | (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any]
% 39.98/6.69 | : ( ~ (unorthogonal_lines(v0, v2) = v4) | ~ (convergent_lines(v0, v1)
% 39.98/6.69 | = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6:
% 39.98/6.69 | any] : ? [v7: any] : ? [v8: any] : (unorthogonal_lines(v1, v2) =
% 39.98/6.69 | v8 & unorthogonal_lines(v0, v1) = v5 & convergent_lines(v1, v2) =
% 39.98/6.69 | v7 & convergent_lines(v0, v2) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) |
% 39.98/6.69 | (v6 = 0 & v4 = 0) | (v5 = 0 & v3 = 0))))
% 39.98/6.70 | (24) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any]
% 39.98/6.70 | : ( ~ (unorthogonal_lines(v0, v2) = v4) | ~ (unorthogonal_lines(v0,
% 39.98/6.70 | v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] :
% 39.98/6.70 | ? [v6: any] : ? [v7: any] : ? [v8: any] : (unorthogonal_lines(v1,
% 39.98/6.70 | v2) = v8 & convergent_lines(v1, v2) = v7 & convergent_lines(v0,
% 39.98/6.70 | v2) = v6 & convergent_lines(v0, v1) = v5 & ( ~ (v8 = 0) | ~ (v7
% 39.98/6.70 | = 0) | (v6 = 0 & v4 = 0) | (v5 = 0 & v3 = 0))))
% 39.98/6.70 |
% 39.98/6.70 | ALPHA: (con1) implies:
% 39.98/6.70 | (25) ! [v0: $i] : ! [v1: $i] : ( ~ (distinct_points(v0, v1) = 0) | ~
% 39.98/6.70 | $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: $i] : ?
% 39.98/6.70 | [v5: any] : (point(v1) = v3 & point(v0) = v2 & line(v4) = v5 &
% 39.98/6.70 | line_connecting(v0, v1) = v4 & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0)
% 39.98/6.70 | | v5 = 0)))
% 39.98/6.70 | (26) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (line_connecting(v0, v1)
% 39.98/6.70 | = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ?
% 39.98/6.70 | [v5: any] : ? [v6: any] : (point(v1) = v4 & point(v0) = v3 &
% 39.98/6.70 | line(v2) = v6 & distinct_points(v0, v1) = v5 & ( ~ (v5 = 0) | ~
% 39.98/6.70 | (v4 = 0) | ~ (v3 = 0) | v6 = 0)))
% 39.98/6.70 |
% 39.98/6.70 | ALPHA: (int1) implies:
% 39.98/6.70 | (27) ! [v0: $i] : ! [v1: $i] : ( ~ (convergent_lines(v0, v1) = 0) | ~
% 39.98/6.70 | $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: $i] : ?
% 39.98/6.70 | [v5: any] : (point(v4) = v5 & line(v1) = v3 & line(v0) = v2 &
% 39.98/6.70 | intersection_point(v0, v1) = v4 & $i(v4) & ( ~ (v3 = 0) | ~ (v2 =
% 39.98/6.70 | 0) | v5 = 0)))
% 39.98/6.70 | (28) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0,
% 39.98/6.70 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any]
% 39.98/6.70 | : ? [v5: any] : ? [v6: any] : (point(v2) = v6 & line(v1) = v4 &
% 39.98/6.70 | line(v0) = v3 & convergent_lines(v0, v1) = v5 & ( ~ (v5 = 0) | ~
% 39.98/6.70 | (v4 = 0) | ~ (v3 = 0) | v6 = 0)))
% 39.98/6.70 |
% 39.98/6.70 | ALPHA: (ax1) implies:
% 39.98/6.70 | (29) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 39.98/6.70 | (equal_points(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) |
% 39.98/6.70 | distinct_points(v0, v1) = 0)
% 39.98/6.70 |
% 39.98/6.70 | ALPHA: (function-axioms) implies:
% 39.98/6.70 | (30) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 39.98/6.70 | : ! [v3: $i] : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~
% 39.98/6.70 | (distinct_points(v3, v2) = v0))
% 39.98/6.70 | (31) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 39.98/6.70 | : ! [v3: $i] : (v1 = v0 | ~ (distinct_lines(v3, v2) = v1) | ~
% 39.98/6.70 | (distinct_lines(v3, v2) = v0))
% 39.98/6.70 | (32) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 39.98/6.70 | : ! [v3: $i] : (v1 = v0 | ~ (convergent_lines(v3, v2) = v1) | ~
% 39.98/6.70 | (convergent_lines(v3, v2) = v0))
% 39.98/6.70 | (33) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 39.98/6.70 | : ! [v3: $i] : (v1 = v0 | ~ (apart_point_and_line(v3, v2) = v1) | ~
% 39.98/6.70 | (apart_point_and_line(v3, v2) = v0))
% 39.98/6.71 | (34) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 39.98/6.71 | (line_connecting(v3, v2) = v1) | ~ (line_connecting(v3, v2) = v0))
% 39.98/6.71 | (35) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 39.98/6.71 | (intersection_point(v3, v2) = v1) | ~ (intersection_point(v3, v2) =
% 39.98/6.71 | v0))
% 39.98/6.71 | (36) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 39.98/6.71 | : ! [v3: $i] : (v1 = v0 | ~ (unorthogonal_lines(v3, v2) = v1) | ~
% 39.98/6.71 | (unorthogonal_lines(v3, v2) = v0))
% 39.98/6.71 |
% 40.16/6.71 | DELTA: instantiating (con) with fresh symbols all_38_0, all_38_1, all_38_2,
% 40.16/6.71 | all_38_3, all_38_4, all_38_5, all_38_6 gives:
% 40.16/6.71 | (37) ~ (all_38_0 = 0) & equal_points(all_38_1, all_38_6) = all_38_0 &
% 40.16/6.71 | intersection_point(all_38_3, all_38_2) = all_38_1 &
% 40.16/6.71 | line_connecting(all_38_6, all_38_4) = all_38_2 &
% 40.16/6.71 | line_connecting(all_38_6, all_38_5) = all_38_3 &
% 40.16/6.71 | convergent_lines(all_38_3, all_38_2) = 0 & distinct_points(all_38_6,
% 40.16/6.71 | all_38_4) = 0 & distinct_points(all_38_6, all_38_5) = 0 &
% 40.16/6.71 | $i(all_38_1) & $i(all_38_2) & $i(all_38_3) & $i(all_38_4) &
% 40.16/6.71 | $i(all_38_5) & $i(all_38_6)
% 40.16/6.71 |
% 40.16/6.71 | ALPHA: (37) implies:
% 40.16/6.71 | (38) ~ (all_38_0 = 0)
% 40.16/6.71 | (39) $i(all_38_6)
% 40.16/6.71 | (40) $i(all_38_5)
% 40.16/6.71 | (41) $i(all_38_4)
% 40.16/6.71 | (42) $i(all_38_3)
% 40.16/6.71 | (43) $i(all_38_2)
% 40.16/6.71 | (44) $i(all_38_1)
% 40.16/6.71 | (45) distinct_points(all_38_6, all_38_5) = 0
% 40.16/6.71 | (46) distinct_points(all_38_6, all_38_4) = 0
% 40.16/6.71 | (47) convergent_lines(all_38_3, all_38_2) = 0
% 40.16/6.71 | (48) line_connecting(all_38_6, all_38_5) = all_38_3
% 40.16/6.71 | (49) line_connecting(all_38_6, all_38_4) = all_38_2
% 40.16/6.71 | (50) intersection_point(all_38_3, all_38_2) = all_38_1
% 40.16/6.71 | (51) equal_points(all_38_1, all_38_6) = all_38_0
% 40.16/6.71 |
% 40.16/6.71 | GROUND_INST: instantiating (25) with all_38_6, all_38_5, simplifying with
% 40.16/6.71 | (39), (40), (45) gives:
% 40.16/6.71 | (52) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] :
% 40.16/6.71 | (point(all_38_5) = v1 & point(all_38_6) = v0 & line(v2) = v3 &
% 40.16/6.71 | line_connecting(all_38_6, all_38_5) = v2 & $i(v2) & ( ~ (v1 = 0) |
% 40.16/6.71 | ~ (v0 = 0) | v3 = 0))
% 40.16/6.71 |
% 40.16/6.71 | GROUND_INST: instantiating (3) with all_38_6, all_38_5, simplifying with (39),
% 40.16/6.71 | (40), (45) gives:
% 40.16/6.71 | (53) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_38_6,
% 40.16/6.71 | all_38_5) = v0 & apart_point_and_line(all_38_5, v0) = v1 & $i(v0))
% 40.16/6.71 |
% 40.16/6.71 | GROUND_INST: instantiating (1) with all_38_6, all_38_5, simplifying with (39),
% 40.16/6.71 | (40), (45) gives:
% 40.16/6.71 | (54) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_38_6,
% 40.16/6.71 | all_38_5) = v0 & apart_point_and_line(all_38_6, v0) = v1 & $i(v0))
% 40.16/6.71 |
% 40.16/6.72 | GROUND_INST: instantiating (25) with all_38_6, all_38_4, simplifying with
% 40.16/6.72 | (39), (41), (46) gives:
% 40.16/6.72 | (55) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] :
% 40.16/6.72 | (point(all_38_4) = v1 & point(all_38_6) = v0 & line(v2) = v3 &
% 40.16/6.72 | line_connecting(all_38_6, all_38_4) = v2 & $i(v2) & ( ~ (v1 = 0) |
% 40.16/6.72 | ~ (v0 = 0) | v3 = 0))
% 40.16/6.72 |
% 40.16/6.72 | GROUND_INST: instantiating (3) with all_38_6, all_38_4, simplifying with (39),
% 40.16/6.72 | (41), (46) gives:
% 40.16/6.72 | (56) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_38_6,
% 40.16/6.72 | all_38_4) = v0 & apart_point_and_line(all_38_4, v0) = v1 & $i(v0))
% 40.16/6.72 |
% 40.16/6.72 | GROUND_INST: instantiating (1) with all_38_6, all_38_4, simplifying with (39),
% 40.16/6.72 | (41), (46) gives:
% 40.16/6.72 | (57) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_38_6,
% 40.16/6.72 | all_38_4) = v0 & apart_point_and_line(all_38_6, v0) = v1 & $i(v0))
% 40.16/6.72 |
% 40.16/6.72 | GROUND_INST: instantiating (15) with all_38_3, all_38_2, all_38_2, 0,
% 40.16/6.72 | simplifying with (42), (43), (47) gives:
% 40.16/6.72 | (58) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 40.16/6.72 | (unorthogonal_lines(all_38_2, all_38_2) = v3 &
% 40.16/6.72 | unorthogonal_lines(all_38_3, all_38_2) = v1 &
% 40.16/6.72 | unorthogonal_lines(all_38_3, all_38_2) = v0 &
% 40.16/6.72 | convergent_lines(all_38_2, all_38_2) = v2 & ( ~ (v0 = 0) | v1 = 0 |
% 40.16/6.72 | (v3 = 0 & v2 = 0)))
% 40.16/6.72 |
% 40.16/6.72 | GROUND_INST: instantiating (21) with all_38_3, all_38_3, all_38_2, 0,
% 40.16/6.72 | simplifying with (42), (43), (47) gives:
% 40.16/6.72 | (59) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 40.16/6.72 | (unorthogonal_lines(all_38_3, all_38_2) = v3 &
% 40.16/6.72 | unorthogonal_lines(all_38_3, all_38_2) = v2 &
% 40.16/6.72 | unorthogonal_lines(all_38_3, all_38_3) = v1 &
% 40.16/6.72 | convergent_lines(all_38_3, all_38_3) = v0 & ( ~ (v3 = 0) | v2 = 0 |
% 40.16/6.72 | (v1 = 0 & v0 = 0)))
% 40.16/6.72 |
% 40.16/6.72 | GROUND_INST: instantiating (17) with all_38_3, all_38_3, all_38_2, 0, 0,
% 40.16/6.72 | simplifying with (42), (43), (47) gives:
% 40.16/6.72 | (60) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 40.16/6.72 | (unorthogonal_lines(all_38_3, all_38_2) = v3 &
% 40.16/6.72 | unorthogonal_lines(all_38_3, all_38_2) = v2 &
% 40.16/6.72 | unorthogonal_lines(all_38_3, all_38_3) = v1 &
% 40.16/6.72 | convergent_lines(all_38_3, all_38_3) = v0 & ( ~ (v1 = 0) | ~ (v0 =
% 40.16/6.72 | 0) | v3 = 0 | v2 = 0))
% 40.16/6.72 |
% 40.16/6.72 | GROUND_INST: instantiating (22) with all_38_3, all_38_2, all_38_2, 0, 0,
% 40.16/6.72 | simplifying with (42), (43), (47) gives:
% 40.16/6.72 | (61) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 40.16/6.72 | (unorthogonal_lines(all_38_2, all_38_2) = v3 &
% 40.16/6.72 | unorthogonal_lines(all_38_3, all_38_2) = v1 &
% 40.16/6.72 | unorthogonal_lines(all_38_3, all_38_2) = v0 &
% 40.16/6.72 | convergent_lines(all_38_2, all_38_2) = v2 & ( ~ (v3 = 0) | ~ (v2 =
% 40.16/6.72 | 0) | v1 = 0 | v0 = 0))
% 40.16/6.72 |
% 40.16/6.72 | GROUND_INST: instantiating (27) with all_38_3, all_38_2, simplifying with
% 40.16/6.72 | (42), (43), (47) gives:
% 40.16/6.72 | (62) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : (point(v2)
% 40.16/6.72 | = v3 & line(all_38_2) = v1 & line(all_38_3) = v0 &
% 40.16/6.72 | intersection_point(all_38_3, all_38_2) = v2 & $i(v2) & ( ~ (v1 = 0)
% 40.16/6.72 | | ~ (v0 = 0) | v3 = 0))
% 40.16/6.72 |
% 40.16/6.72 | GROUND_INST: instantiating (7) with all_38_3, all_38_2, simplifying with (42),
% 40.16/6.72 | (43), (47) gives:
% 40.16/6.73 | (63) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) &
% 40.16/6.73 | intersection_point(all_38_3, all_38_2) = v0 &
% 40.16/6.73 | apart_point_and_line(v0, all_38_2) = v1 & $i(v0))
% 40.16/6.73 |
% 40.16/6.73 | GROUND_INST: instantiating (5) with all_38_3, all_38_2, simplifying with (42),
% 40.16/6.73 | (43), (47) gives:
% 40.16/6.73 | (64) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) &
% 40.16/6.73 | intersection_point(all_38_3, all_38_2) = v0 &
% 40.16/6.73 | apart_point_and_line(v0, all_38_3) = v1 & $i(v0))
% 40.16/6.73 |
% 40.16/6.73 | GROUND_INST: instantiating (26) with all_38_6, all_38_5, all_38_3, simplifying
% 40.16/6.73 | with (39), (40), (48) gives:
% 40.16/6.73 | (65) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 40.16/6.73 | (point(all_38_5) = v1 & point(all_38_6) = v0 & line(all_38_3) = v3 &
% 40.16/6.73 | distinct_points(all_38_6, all_38_5) = v2 & ( ~ (v2 = 0) | ~ (v1 =
% 40.16/6.73 | 0) | ~ (v0 = 0) | v3 = 0))
% 40.16/6.73 |
% 40.16/6.73 | GROUND_INST: instantiating (4) with all_38_6, all_38_5, all_38_3, simplifying
% 40.16/6.73 | with (39), (40), (48) gives:
% 40.16/6.73 | (66) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_38_5,
% 40.16/6.73 | all_38_3) = v1 & distinct_points(all_38_6, all_38_5) = v0 & ( ~
% 40.16/6.73 | (v1 = 0) | ~ (v0 = 0)))
% 40.16/6.73 |
% 40.16/6.73 | GROUND_INST: instantiating (2) with all_38_6, all_38_5, all_38_3, simplifying
% 40.16/6.73 | with (39), (40), (48) gives:
% 40.16/6.73 | (67) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_38_6,
% 40.16/6.73 | all_38_3) = v1 & distinct_points(all_38_6, all_38_5) = v0 & ( ~
% 40.16/6.73 | (v1 = 0) | ~ (v0 = 0)))
% 40.16/6.73 |
% 40.16/6.73 | GROUND_INST: instantiating (26) with all_38_6, all_38_4, all_38_2, simplifying
% 40.16/6.73 | with (39), (41), (49) gives:
% 40.16/6.73 | (68) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 40.16/6.73 | (point(all_38_4) = v1 & point(all_38_6) = v0 & line(all_38_2) = v3 &
% 40.16/6.73 | distinct_points(all_38_6, all_38_4) = v2 & ( ~ (v2 = 0) | ~ (v1 =
% 40.16/6.73 | 0) | ~ (v0 = 0) | v3 = 0))
% 40.16/6.73 |
% 40.16/6.73 | GROUND_INST: instantiating (4) with all_38_6, all_38_4, all_38_2, simplifying
% 40.16/6.73 | with (39), (41), (49) gives:
% 40.16/6.73 | (69) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_38_4,
% 40.16/6.73 | all_38_2) = v1 & distinct_points(all_38_6, all_38_4) = v0 & ( ~
% 40.16/6.73 | (v1 = 0) | ~ (v0 = 0)))
% 40.16/6.73 |
% 40.16/6.73 | GROUND_INST: instantiating (2) with all_38_6, all_38_4, all_38_2, simplifying
% 40.16/6.73 | with (39), (41), (49) gives:
% 40.16/6.73 | (70) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_38_6,
% 40.16/6.73 | all_38_2) = v1 & distinct_points(all_38_6, all_38_4) = v0 & ( ~
% 40.16/6.73 | (v1 = 0) | ~ (v0 = 0)))
% 40.16/6.73 |
% 40.16/6.73 | GROUND_INST: instantiating (28) with all_38_3, all_38_2, all_38_1, simplifying
% 40.16/6.73 | with (42), (43), (50) gives:
% 40.16/6.73 | (71) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 40.16/6.73 | (point(all_38_1) = v3 & line(all_38_2) = v1 & line(all_38_3) = v0 &
% 40.16/6.73 | convergent_lines(all_38_3, all_38_2) = v2 & ( ~ (v2 = 0) | ~ (v1 =
% 40.16/6.73 | 0) | ~ (v0 = 0) | v3 = 0))
% 40.16/6.73 |
% 40.16/6.73 | GROUND_INST: instantiating (8) with all_38_3, all_38_2, all_38_1, simplifying
% 40.16/6.73 | with (42), (43), (50) gives:
% 40.16/6.73 | (72) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_38_1,
% 40.16/6.73 | all_38_2) = v1 & convergent_lines(all_38_3, all_38_2) = v0 & ( ~
% 40.16/6.73 | (v1 = 0) | ~ (v0 = 0)))
% 40.16/6.73 |
% 40.16/6.73 | GROUND_INST: instantiating (6) with all_38_3, all_38_2, all_38_1, simplifying
% 40.16/6.73 | with (42), (43), (50) gives:
% 40.16/6.74 | (73) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_38_1,
% 40.16/6.74 | all_38_3) = v1 & convergent_lines(all_38_3, all_38_2) = v0 & ( ~
% 40.16/6.74 | (v1 = 0) | ~ (v0 = 0)))
% 40.16/6.74 |
% 40.16/6.74 | GROUND_INST: instantiating (29) with all_38_1, all_38_6, all_38_0, simplifying
% 40.16/6.74 | with (39), (44), (51) gives:
% 40.16/6.74 | (74) all_38_0 = 0 | distinct_points(all_38_1, all_38_6) = 0
% 40.16/6.74 |
% 40.16/6.74 | DELTA: instantiating (73) with fresh symbols all_51_0, all_51_1 gives:
% 40.16/6.74 | (75) apart_point_and_line(all_38_1, all_38_3) = all_51_0 &
% 40.16/6.74 | convergent_lines(all_38_3, all_38_2) = all_51_1 & ( ~ (all_51_0 = 0) |
% 40.16/6.74 | ~ (all_51_1 = 0))
% 40.16/6.74 |
% 40.16/6.74 | ALPHA: (75) implies:
% 40.16/6.74 | (76) convergent_lines(all_38_3, all_38_2) = all_51_1
% 40.16/6.74 | (77) apart_point_and_line(all_38_1, all_38_3) = all_51_0
% 40.16/6.74 |
% 40.16/6.74 | DELTA: instantiating (64) with fresh symbols all_53_0, all_53_1 gives:
% 40.16/6.74 | (78) ~ (all_53_0 = 0) & intersection_point(all_38_3, all_38_2) = all_53_1
% 40.16/6.74 | & apart_point_and_line(all_53_1, all_38_3) = all_53_0 & $i(all_53_1)
% 40.16/6.74 |
% 40.16/6.74 | ALPHA: (78) implies:
% 40.30/6.74 | (79) ~ (all_53_0 = 0)
% 40.30/6.74 | (80) $i(all_53_1)
% 40.30/6.74 | (81) apart_point_and_line(all_53_1, all_38_3) = all_53_0
% 40.30/6.74 | (82) intersection_point(all_38_3, all_38_2) = all_53_1
% 40.30/6.74 |
% 40.30/6.74 | DELTA: instantiating (63) with fresh symbols all_55_0, all_55_1 gives:
% 40.30/6.74 | (83) ~ (all_55_0 = 0) & intersection_point(all_38_3, all_38_2) = all_55_1
% 40.30/6.74 | & apart_point_and_line(all_55_1, all_38_2) = all_55_0 & $i(all_55_1)
% 40.30/6.74 |
% 40.30/6.74 | ALPHA: (83) implies:
% 40.30/6.74 | (84) apart_point_and_line(all_55_1, all_38_2) = all_55_0
% 40.30/6.74 | (85) intersection_point(all_38_3, all_38_2) = all_55_1
% 40.30/6.74 |
% 40.30/6.74 | DELTA: instantiating (72) with fresh symbols all_57_0, all_57_1 gives:
% 40.30/6.74 | (86) apart_point_and_line(all_38_1, all_38_2) = all_57_0 &
% 40.30/6.74 | convergent_lines(all_38_3, all_38_2) = all_57_1 & ( ~ (all_57_0 = 0) |
% 40.30/6.74 | ~ (all_57_1 = 0))
% 40.30/6.74 |
% 40.30/6.74 | ALPHA: (86) implies:
% 40.30/6.74 | (87) convergent_lines(all_38_3, all_38_2) = all_57_1
% 40.30/6.74 | (88) apart_point_and_line(all_38_1, all_38_2) = all_57_0
% 40.30/6.74 | (89) ~ (all_57_0 = 0) | ~ (all_57_1 = 0)
% 40.30/6.74 |
% 40.30/6.74 | DELTA: instantiating (67) with fresh symbols all_59_0, all_59_1 gives:
% 40.30/6.74 | (90) apart_point_and_line(all_38_6, all_38_3) = all_59_0 &
% 40.30/6.74 | distinct_points(all_38_6, all_38_5) = all_59_1 & ( ~ (all_59_0 = 0) |
% 40.30/6.74 | ~ (all_59_1 = 0))
% 40.30/6.74 |
% 40.30/6.74 | ALPHA: (90) implies:
% 40.30/6.74 | (91) distinct_points(all_38_6, all_38_5) = all_59_1
% 40.30/6.74 | (92) apart_point_and_line(all_38_6, all_38_3) = all_59_0
% 40.30/6.74 |
% 40.30/6.74 | DELTA: instantiating (56) with fresh symbols all_61_0, all_61_1 gives:
% 40.30/6.74 | (93) ~ (all_61_0 = 0) & line_connecting(all_38_6, all_38_4) = all_61_1 &
% 40.30/6.74 | apart_point_and_line(all_38_4, all_61_1) = all_61_0 & $i(all_61_1)
% 40.30/6.74 |
% 40.30/6.74 | ALPHA: (93) implies:
% 40.30/6.74 | (94) $i(all_61_1)
% 40.30/6.74 | (95) apart_point_and_line(all_38_4, all_61_1) = all_61_0
% 40.30/6.74 | (96) line_connecting(all_38_6, all_38_4) = all_61_1
% 40.30/6.74 |
% 40.30/6.74 | DELTA: instantiating (57) with fresh symbols all_63_0, all_63_1 gives:
% 40.30/6.74 | (97) ~ (all_63_0 = 0) & line_connecting(all_38_6, all_38_4) = all_63_1 &
% 40.30/6.74 | apart_point_and_line(all_38_6, all_63_1) = all_63_0 & $i(all_63_1)
% 40.30/6.74 |
% 40.30/6.74 | ALPHA: (97) implies:
% 40.30/6.74 | (98) apart_point_and_line(all_38_6, all_63_1) = all_63_0
% 40.30/6.74 | (99) line_connecting(all_38_6, all_38_4) = all_63_1
% 40.30/6.74 |
% 40.30/6.74 | DELTA: instantiating (54) with fresh symbols all_65_0, all_65_1 gives:
% 40.30/6.74 | (100) ~ (all_65_0 = 0) & line_connecting(all_38_6, all_38_5) = all_65_1 &
% 40.30/6.74 | apart_point_and_line(all_38_6, all_65_1) = all_65_0 & $i(all_65_1)
% 40.30/6.74 |
% 40.30/6.74 | ALPHA: (100) implies:
% 40.30/6.74 | (101) ~ (all_65_0 = 0)
% 40.30/6.74 | (102) $i(all_65_1)
% 40.30/6.74 | (103) apart_point_and_line(all_38_6, all_65_1) = all_65_0
% 40.30/6.74 | (104) line_connecting(all_38_6, all_38_5) = all_65_1
% 40.30/6.74 |
% 40.30/6.74 | DELTA: instantiating (66) with fresh symbols all_67_0, all_67_1 gives:
% 40.30/6.74 | (105) apart_point_and_line(all_38_5, all_38_3) = all_67_0 &
% 40.30/6.74 | distinct_points(all_38_6, all_38_5) = all_67_1 & ( ~ (all_67_0 = 0) |
% 40.30/6.74 | ~ (all_67_1 = 0))
% 40.30/6.74 |
% 40.30/6.74 | ALPHA: (105) implies:
% 40.30/6.75 | (106) distinct_points(all_38_6, all_38_5) = all_67_1
% 40.30/6.75 | (107) apart_point_and_line(all_38_5, all_38_3) = all_67_0
% 40.30/6.75 |
% 40.30/6.75 | DELTA: instantiating (70) with fresh symbols all_69_0, all_69_1 gives:
% 40.30/6.75 | (108) apart_point_and_line(all_38_6, all_38_2) = all_69_0 &
% 40.30/6.75 | distinct_points(all_38_6, all_38_4) = all_69_1 & ( ~ (all_69_0 = 0) |
% 40.30/6.75 | ~ (all_69_1 = 0))
% 40.30/6.75 |
% 40.30/6.75 | ALPHA: (108) implies:
% 40.30/6.75 | (109) distinct_points(all_38_6, all_38_4) = all_69_1
% 40.30/6.75 | (110) apart_point_and_line(all_38_6, all_38_2) = all_69_0
% 40.30/6.75 | (111) ~ (all_69_0 = 0) | ~ (all_69_1 = 0)
% 40.30/6.75 |
% 40.30/6.75 | DELTA: instantiating (69) with fresh symbols all_71_0, all_71_1 gives:
% 40.30/6.75 | (112) apart_point_and_line(all_38_4, all_38_2) = all_71_0 &
% 40.30/6.75 | distinct_points(all_38_6, all_38_4) = all_71_1 & ( ~ (all_71_0 = 0) |
% 40.30/6.75 | ~ (all_71_1 = 0))
% 40.30/6.75 |
% 40.30/6.75 | ALPHA: (112) implies:
% 40.30/6.75 | (113) distinct_points(all_38_6, all_38_4) = all_71_1
% 40.30/6.75 | (114) apart_point_and_line(all_38_4, all_38_2) = all_71_0
% 40.30/6.75 | (115) ~ (all_71_0 = 0) | ~ (all_71_1 = 0)
% 40.30/6.75 |
% 40.30/6.75 | DELTA: instantiating (53) with fresh symbols all_73_0, all_73_1 gives:
% 40.30/6.75 | (116) ~ (all_73_0 = 0) & line_connecting(all_38_6, all_38_5) = all_73_1 &
% 40.30/6.75 | apart_point_and_line(all_38_5, all_73_1) = all_73_0 & $i(all_73_1)
% 40.30/6.75 |
% 40.30/6.75 | ALPHA: (116) implies:
% 40.30/6.75 | (117) ~ (all_73_0 = 0)
% 40.30/6.75 | (118) apart_point_and_line(all_38_5, all_73_1) = all_73_0
% 40.30/6.75 | (119) line_connecting(all_38_6, all_38_5) = all_73_1
% 40.30/6.75 |
% 40.30/6.75 | DELTA: instantiating (61) with fresh symbols all_75_0, all_75_1, all_75_2,
% 40.30/6.75 | all_75_3 gives:
% 40.30/6.75 | (120) unorthogonal_lines(all_38_2, all_38_2) = all_75_0 &
% 40.30/6.75 | unorthogonal_lines(all_38_3, all_38_2) = all_75_2 &
% 40.30/6.75 | unorthogonal_lines(all_38_3, all_38_2) = all_75_3 &
% 40.30/6.75 | convergent_lines(all_38_2, all_38_2) = all_75_1 & ( ~ (all_75_0 = 0)
% 40.30/6.75 | | ~ (all_75_1 = 0) | all_75_2 = 0 | all_75_3 = 0)
% 40.30/6.75 |
% 40.30/6.75 | ALPHA: (120) implies:
% 40.30/6.75 | (121) unorthogonal_lines(all_38_3, all_38_2) = all_75_3
% 40.30/6.75 | (122) unorthogonal_lines(all_38_3, all_38_2) = all_75_2
% 40.30/6.75 |
% 40.30/6.75 | DELTA: instantiating (59) with fresh symbols all_77_0, all_77_1, all_77_2,
% 40.30/6.75 | all_77_3 gives:
% 40.30/6.75 | (123) unorthogonal_lines(all_38_3, all_38_2) = all_77_0 &
% 40.30/6.75 | unorthogonal_lines(all_38_3, all_38_2) = all_77_1 &
% 40.30/6.75 | unorthogonal_lines(all_38_3, all_38_3) = all_77_2 &
% 40.30/6.75 | convergent_lines(all_38_3, all_38_3) = all_77_3 & ( ~ (all_77_0 = 0)
% 40.30/6.75 | | all_77_1 = 0 | (all_77_2 = 0 & all_77_3 = 0))
% 40.30/6.75 |
% 40.30/6.75 | ALPHA: (123) implies:
% 40.30/6.75 | (124) convergent_lines(all_38_3, all_38_3) = all_77_3
% 40.30/6.75 | (125) unorthogonal_lines(all_38_3, all_38_3) = all_77_2
% 40.30/6.75 | (126) unorthogonal_lines(all_38_3, all_38_2) = all_77_1
% 40.30/6.75 | (127) unorthogonal_lines(all_38_3, all_38_2) = all_77_0
% 40.30/6.75 |
% 40.30/6.75 | DELTA: instantiating (60) with fresh symbols all_79_0, all_79_1, all_79_2,
% 40.30/6.75 | all_79_3 gives:
% 40.30/6.75 | (128) unorthogonal_lines(all_38_3, all_38_2) = all_79_0 &
% 40.30/6.75 | unorthogonal_lines(all_38_3, all_38_2) = all_79_1 &
% 40.30/6.75 | unorthogonal_lines(all_38_3, all_38_3) = all_79_2 &
% 40.30/6.75 | convergent_lines(all_38_3, all_38_3) = all_79_3 & ( ~ (all_79_2 = 0)
% 40.30/6.75 | | ~ (all_79_3 = 0) | all_79_0 = 0 | all_79_1 = 0)
% 40.30/6.75 |
% 40.30/6.75 | ALPHA: (128) implies:
% 40.30/6.75 | (129) convergent_lines(all_38_3, all_38_3) = all_79_3
% 40.30/6.75 | (130) unorthogonal_lines(all_38_3, all_38_3) = all_79_2
% 40.30/6.75 | (131) unorthogonal_lines(all_38_3, all_38_2) = all_79_1
% 40.30/6.75 | (132) unorthogonal_lines(all_38_3, all_38_2) = all_79_0
% 40.30/6.75 |
% 40.30/6.75 | DELTA: instantiating (55) with fresh symbols all_81_0, all_81_1, all_81_2,
% 40.30/6.75 | all_81_3 gives:
% 40.30/6.75 | (133) point(all_38_4) = all_81_2 & point(all_38_6) = all_81_3 &
% 40.30/6.75 | line(all_81_1) = all_81_0 & line_connecting(all_38_6, all_38_4) =
% 40.30/6.75 | all_81_1 & $i(all_81_1) & ( ~ (all_81_2 = 0) | ~ (all_81_3 = 0) |
% 40.30/6.75 | all_81_0 = 0)
% 40.30/6.75 |
% 40.30/6.75 | ALPHA: (133) implies:
% 40.30/6.75 | (134) line_connecting(all_38_6, all_38_4) = all_81_1
% 40.30/6.75 |
% 40.30/6.75 | DELTA: instantiating (58) with fresh symbols all_83_0, all_83_1, all_83_2,
% 40.30/6.75 | all_83_3 gives:
% 40.30/6.75 | (135) unorthogonal_lines(all_38_2, all_38_2) = all_83_0 &
% 40.30/6.75 | unorthogonal_lines(all_38_3, all_38_2) = all_83_2 &
% 40.30/6.75 | unorthogonal_lines(all_38_3, all_38_2) = all_83_3 &
% 40.30/6.75 | convergent_lines(all_38_2, all_38_2) = all_83_1 & ( ~ (all_83_3 = 0)
% 40.30/6.75 | | all_83_2 = 0 | (all_83_0 = 0 & all_83_1 = 0))
% 40.30/6.75 |
% 40.30/6.75 | ALPHA: (135) implies:
% 40.30/6.75 | (136) unorthogonal_lines(all_38_3, all_38_2) = all_83_3
% 40.30/6.75 | (137) unorthogonal_lines(all_38_3, all_38_2) = all_83_2
% 40.30/6.75 |
% 40.30/6.75 | DELTA: instantiating (62) with fresh symbols all_85_0, all_85_1, all_85_2,
% 40.30/6.75 | all_85_3 gives:
% 40.30/6.75 | (138) point(all_85_1) = all_85_0 & line(all_38_2) = all_85_2 &
% 40.30/6.75 | line(all_38_3) = all_85_3 & intersection_point(all_38_3, all_38_2) =
% 40.30/6.75 | all_85_1 & $i(all_85_1) & ( ~ (all_85_2 = 0) | ~ (all_85_3 = 0) |
% 40.30/6.75 | all_85_0 = 0)
% 40.30/6.75 |
% 40.30/6.75 | ALPHA: (138) implies:
% 40.30/6.75 | (139) intersection_point(all_38_3, all_38_2) = all_85_1
% 40.30/6.75 |
% 40.30/6.75 | DELTA: instantiating (65) with fresh symbols all_87_0, all_87_1, all_87_2,
% 40.30/6.75 | all_87_3 gives:
% 40.30/6.75 | (140) point(all_38_5) = all_87_2 & point(all_38_6) = all_87_3 &
% 40.30/6.75 | line(all_38_3) = all_87_0 & distinct_points(all_38_6, all_38_5) =
% 40.30/6.75 | all_87_1 & ( ~ (all_87_1 = 0) | ~ (all_87_2 = 0) | ~ (all_87_3 = 0)
% 40.30/6.76 | | all_87_0 = 0)
% 40.30/6.76 |
% 40.30/6.76 | ALPHA: (140) implies:
% 40.30/6.76 | (141) distinct_points(all_38_6, all_38_5) = all_87_1
% 40.30/6.76 |
% 40.30/6.76 | DELTA: instantiating (71) with fresh symbols all_89_0, all_89_1, all_89_2,
% 40.30/6.76 | all_89_3 gives:
% 40.30/6.76 | (142) point(all_38_1) = all_89_0 & line(all_38_2) = all_89_2 &
% 40.30/6.76 | line(all_38_3) = all_89_3 & convergent_lines(all_38_3, all_38_2) =
% 40.30/6.76 | all_89_1 & ( ~ (all_89_1 = 0) | ~ (all_89_2 = 0) | ~ (all_89_3 = 0)
% 40.30/6.76 | | all_89_0 = 0)
% 40.30/6.76 |
% 40.30/6.76 | ALPHA: (142) implies:
% 40.30/6.76 | (143) convergent_lines(all_38_3, all_38_2) = all_89_1
% 40.30/6.76 |
% 40.30/6.76 | DELTA: instantiating (68) with fresh symbols all_91_0, all_91_1, all_91_2,
% 40.30/6.76 | all_91_3 gives:
% 40.30/6.76 | (144) point(all_38_4) = all_91_2 & point(all_38_6) = all_91_3 &
% 40.30/6.76 | line(all_38_2) = all_91_0 & distinct_points(all_38_6, all_38_4) =
% 40.30/6.76 | all_91_1 & ( ~ (all_91_1 = 0) | ~ (all_91_2 = 0) | ~ (all_91_3 = 0)
% 40.30/6.76 | | all_91_0 = 0)
% 40.30/6.76 |
% 40.30/6.76 | ALPHA: (144) implies:
% 40.30/6.76 | (145) distinct_points(all_38_6, all_38_4) = all_91_1
% 40.30/6.76 |
% 40.30/6.76 | DELTA: instantiating (52) with fresh symbols all_93_0, all_93_1, all_93_2,
% 40.30/6.76 | all_93_3 gives:
% 40.30/6.76 | (146) point(all_38_5) = all_93_2 & point(all_38_6) = all_93_3 &
% 40.30/6.76 | line(all_93_1) = all_93_0 & line_connecting(all_38_6, all_38_5) =
% 40.30/6.76 | all_93_1 & $i(all_93_1) & ( ~ (all_93_2 = 0) | ~ (all_93_3 = 0) |
% 40.30/6.76 | all_93_0 = 0)
% 40.30/6.76 |
% 40.30/6.76 | ALPHA: (146) implies:
% 40.30/6.76 | (147) line_connecting(all_38_6, all_38_5) = all_93_1
% 40.30/6.76 |
% 40.30/6.76 | BETA: splitting (74) gives:
% 40.30/6.76 |
% 40.30/6.76 | Case 1:
% 40.30/6.76 | |
% 40.30/6.76 | | (148) distinct_points(all_38_1, all_38_6) = 0
% 40.30/6.76 | |
% 40.30/6.76 | | GROUND_INST: instantiating (30) with 0, all_67_1, all_38_5, all_38_6,
% 40.30/6.76 | | simplifying with (45), (106) gives:
% 40.30/6.76 | | (149) all_67_1 = 0
% 40.30/6.76 | |
% 40.30/6.76 | | GROUND_INST: instantiating (30) with all_67_1, all_87_1, all_38_5, all_38_6,
% 40.30/6.76 | | simplifying with (106), (141) gives:
% 40.30/6.76 | | (150) all_87_1 = all_67_1
% 40.30/6.76 | |
% 40.30/6.76 | | GROUND_INST: instantiating (30) with all_59_1, all_87_1, all_38_5, all_38_6,
% 40.30/6.76 | | simplifying with (91), (141) gives:
% 40.30/6.76 | | (151) all_87_1 = all_59_1
% 40.30/6.76 | |
% 40.30/6.76 | | GROUND_INST: instantiating (30) with 0, all_71_1, all_38_4, all_38_6,
% 40.30/6.76 | | simplifying with (46), (113) gives:
% 40.30/6.76 | | (152) all_71_1 = 0
% 40.30/6.76 | |
% 40.30/6.76 | | GROUND_INST: instantiating (30) with all_71_1, all_91_1, all_38_4, all_38_6,
% 40.30/6.76 | | simplifying with (113), (145) gives:
% 40.30/6.76 | | (153) all_91_1 = all_71_1
% 40.30/6.76 | |
% 40.30/6.76 | | GROUND_INST: instantiating (30) with all_69_1, all_91_1, all_38_4, all_38_6,
% 40.30/6.76 | | simplifying with (109), (145) gives:
% 40.30/6.76 | | (154) all_91_1 = all_69_1
% 40.30/6.76 | |
% 40.30/6.76 | | GROUND_INST: instantiating (32) with all_77_3, all_79_3, all_38_3, all_38_3,
% 40.30/6.76 | | simplifying with (124), (129) gives:
% 40.30/6.76 | | (155) all_79_3 = all_77_3
% 40.30/6.76 | |
% 40.30/6.76 | | GROUND_INST: instantiating (32) with 0, all_89_1, all_38_2, all_38_3,
% 40.30/6.76 | | simplifying with (47), (143) gives:
% 40.30/6.76 | | (156) all_89_1 = 0
% 40.30/6.76 | |
% 40.30/6.76 | | GROUND_INST: instantiating (32) with all_57_1, all_89_1, all_38_2, all_38_3,
% 40.30/6.76 | | simplifying with (87), (143) gives:
% 40.30/6.76 | | (157) all_89_1 = all_57_1
% 40.30/6.76 | |
% 40.30/6.76 | | GROUND_INST: instantiating (32) with all_51_1, all_89_1, all_38_2, all_38_3,
% 40.30/6.76 | | simplifying with (76), (143) gives:
% 40.30/6.76 | | (158) all_89_1 = all_51_1
% 40.30/6.76 | |
% 40.30/6.76 | | GROUND_INST: instantiating (34) with all_65_1, all_73_1, all_38_5, all_38_6,
% 40.30/6.76 | | simplifying with (104), (119) gives:
% 40.30/6.76 | | (159) all_73_1 = all_65_1
% 40.30/6.76 | |
% 40.30/6.76 | | GROUND_INST: instantiating (34) with all_38_3, all_93_1, all_38_5, all_38_6,
% 40.30/6.76 | | simplifying with (48), (147) gives:
% 40.30/6.76 | | (160) all_93_1 = all_38_3
% 40.30/6.76 | |
% 40.30/6.76 | | GROUND_INST: instantiating (34) with all_73_1, all_93_1, all_38_5, all_38_6,
% 40.30/6.76 | | simplifying with (119), (147) gives:
% 40.30/6.76 | | (161) all_93_1 = all_73_1
% 40.30/6.76 | |
% 40.30/6.76 | | GROUND_INST: instantiating (34) with all_38_2, all_63_1, all_38_4, all_38_6,
% 40.30/6.76 | | simplifying with (49), (99) gives:
% 40.30/6.76 | | (162) all_63_1 = all_38_2
% 40.30/6.76 | |
% 40.30/6.76 | | GROUND_INST: instantiating (34) with all_63_1, all_81_1, all_38_4, all_38_6,
% 40.30/6.76 | | simplifying with (99), (134) gives:
% 40.30/6.76 | | (163) all_81_1 = all_63_1
% 40.30/6.76 | |
% 40.30/6.76 | | GROUND_INST: instantiating (34) with all_61_1, all_81_1, all_38_4, all_38_6,
% 40.30/6.76 | | simplifying with (96), (134) gives:
% 40.30/6.76 | | (164) all_81_1 = all_61_1
% 40.30/6.76 | |
% 40.30/6.76 | | GROUND_INST: instantiating (35) with all_38_1, all_55_1, all_38_2, all_38_3,
% 40.30/6.76 | | simplifying with (50), (85) gives:
% 40.30/6.77 | | (165) all_55_1 = all_38_1
% 40.30/6.77 | |
% 40.30/6.77 | | GROUND_INST: instantiating (35) with all_55_1, all_85_1, all_38_2, all_38_3,
% 40.30/6.77 | | simplifying with (85), (139) gives:
% 40.30/6.77 | | (166) all_85_1 = all_55_1
% 40.30/6.77 | |
% 40.30/6.77 | | GROUND_INST: instantiating (35) with all_53_1, all_85_1, all_38_2, all_38_3,
% 40.30/6.77 | | simplifying with (82), (139) gives:
% 40.30/6.77 | | (167) all_85_1 = all_53_1
% 40.30/6.77 | |
% 40.30/6.77 | | GROUND_INST: instantiating (36) with all_77_2, all_79_2, all_38_3, all_38_3,
% 40.30/6.77 | | simplifying with (125), (130) gives:
% 40.30/6.77 | | (168) all_79_2 = all_77_2
% 40.30/6.77 | |
% 40.30/6.77 | | GROUND_INST: instantiating (36) with all_77_0, all_79_1, all_38_2, all_38_3,
% 40.30/6.77 | | simplifying with (127), (131) gives:
% 40.30/6.77 | | (169) all_79_1 = all_77_0
% 40.30/6.77 | |
% 40.30/6.77 | | GROUND_INST: instantiating (36) with all_79_1, all_83_3, all_38_2, all_38_3,
% 40.30/6.77 | | simplifying with (131), (136) gives:
% 40.30/6.77 | | (170) all_83_3 = all_79_1
% 40.30/6.77 | |
% 40.30/6.77 | | GROUND_INST: instantiating (36) with all_77_1, all_83_3, all_38_2, all_38_3,
% 40.30/6.77 | | simplifying with (126), (136) gives:
% 40.30/6.77 | | (171) all_83_3 = all_77_1
% 40.30/6.77 | |
% 40.30/6.77 | | GROUND_INST: instantiating (36) with all_75_3, all_83_3, all_38_2, all_38_3,
% 40.30/6.77 | | simplifying with (121), (136) gives:
% 40.30/6.77 | | (172) all_83_3 = all_75_3
% 40.30/6.77 | |
% 40.30/6.77 | | GROUND_INST: instantiating (36) with all_79_0, all_83_2, all_38_2, all_38_3,
% 40.30/6.77 | | simplifying with (132), (137) gives:
% 40.30/6.77 | | (173) all_83_2 = all_79_0
% 40.30/6.77 | |
% 40.30/6.77 | | GROUND_INST: instantiating (36) with all_79_1, all_83_2, all_38_2, all_38_3,
% 40.30/6.77 | | simplifying with (131), (137) gives:
% 40.30/6.77 | | (174) all_83_2 = all_79_1
% 40.30/6.77 | |
% 40.30/6.77 | | GROUND_INST: instantiating (36) with all_75_2, all_83_2, all_38_2, all_38_3,
% 40.30/6.77 | | simplifying with (122), (137) gives:
% 40.30/6.77 | | (175) all_83_2 = all_75_2
% 40.30/6.77 | |
% 40.30/6.77 | | COMBINE_EQS: (160), (161) imply:
% 40.30/6.77 | | (176) all_73_1 = all_38_3
% 40.30/6.77 | |
% 40.30/6.77 | | SIMP: (176) implies:
% 40.30/6.77 | | (177) all_73_1 = all_38_3
% 40.30/6.77 | |
% 40.30/6.77 | | COMBINE_EQS: (153), (154) imply:
% 40.30/6.77 | | (178) all_71_1 = all_69_1
% 40.30/6.77 | |
% 40.30/6.77 | | SIMP: (178) implies:
% 40.30/6.77 | | (179) all_71_1 = all_69_1
% 40.30/6.77 | |
% 40.30/6.77 | | COMBINE_EQS: (156), (157) imply:
% 40.30/6.77 | | (180) all_57_1 = 0
% 40.30/6.77 | |
% 40.30/6.77 | | COMBINE_EQS: (157), (158) imply:
% 40.30/6.77 | | (181) all_57_1 = all_51_1
% 40.30/6.77 | |
% 40.30/6.77 | | COMBINE_EQS: (150), (151) imply:
% 40.30/6.77 | | (182) all_67_1 = all_59_1
% 40.30/6.77 | |
% 40.30/6.77 | | SIMP: (182) implies:
% 40.30/6.77 | | (183) all_67_1 = all_59_1
% 40.30/6.77 | |
% 40.30/6.77 | | COMBINE_EQS: (166), (167) imply:
% 40.30/6.77 | | (184) all_55_1 = all_53_1
% 40.30/6.77 | |
% 40.30/6.77 | | SIMP: (184) implies:
% 40.30/6.77 | | (185) all_55_1 = all_53_1
% 40.30/6.77 | |
% 40.30/6.77 | | COMBINE_EQS: (173), (174) imply:
% 40.30/6.77 | | (186) all_79_0 = all_79_1
% 40.30/6.77 | |
% 40.30/6.77 | | COMBINE_EQS: (173), (175) imply:
% 40.30/6.77 | | (187) all_79_0 = all_75_2
% 40.30/6.77 | |
% 40.30/6.77 | | COMBINE_EQS: (170), (171) imply:
% 40.30/6.77 | | (188) all_79_1 = all_77_1
% 40.30/6.77 | |
% 40.30/6.77 | | SIMP: (188) implies:
% 40.30/6.77 | | (189) all_79_1 = all_77_1
% 40.30/6.77 | |
% 40.30/6.77 | | COMBINE_EQS: (171), (172) imply:
% 40.30/6.77 | | (190) all_77_1 = all_75_3
% 40.30/6.77 | |
% 40.30/6.77 | | COMBINE_EQS: (163), (164) imply:
% 40.30/6.77 | | (191) all_63_1 = all_61_1
% 40.30/6.77 | |
% 40.30/6.77 | | SIMP: (191) implies:
% 40.30/6.77 | | (192) all_63_1 = all_61_1
% 40.30/6.77 | |
% 40.30/6.77 | | COMBINE_EQS: (186), (187) imply:
% 40.30/6.77 | | (193) all_79_1 = all_75_2
% 40.30/6.77 | |
% 40.30/6.77 | | SIMP: (193) implies:
% 40.30/6.77 | | (194) all_79_1 = all_75_2
% 40.30/6.77 | |
% 40.30/6.77 | | COMBINE_EQS: (169), (189) imply:
% 40.30/6.77 | | (195) all_77_0 = all_77_1
% 40.30/6.77 | |
% 40.30/6.77 | | COMBINE_EQS: (169), (194) imply:
% 40.30/6.77 | | (196) all_77_0 = all_75_2
% 40.30/6.77 | |
% 40.30/6.77 | | COMBINE_EQS: (195), (196) imply:
% 40.30/6.77 | | (197) all_77_1 = all_75_2
% 40.30/6.77 | |
% 40.30/6.77 | | SIMP: (197) implies:
% 40.30/6.77 | | (198) all_77_1 = all_75_2
% 40.30/6.77 | |
% 40.30/6.77 | | COMBINE_EQS: (190), (198) imply:
% 40.30/6.77 | | (199) all_75_2 = all_75_3
% 40.30/6.77 | |
% 40.30/6.77 | | COMBINE_EQS: (159), (177) imply:
% 40.30/6.77 | | (200) all_65_1 = all_38_3
% 40.30/6.77 | |
% 40.30/6.77 | | COMBINE_EQS: (152), (179) imply:
% 40.30/6.77 | | (201) all_69_1 = 0
% 40.30/6.77 | |
% 40.30/6.77 | | COMBINE_EQS: (149), (183) imply:
% 40.30/6.77 | | (202) all_59_1 = 0
% 40.30/6.77 | |
% 40.30/6.77 | | COMBINE_EQS: (162), (192) imply:
% 40.30/6.77 | | (203) all_61_1 = all_38_2
% 40.30/6.77 | |
% 40.30/6.77 | | COMBINE_EQS: (180), (181) imply:
% 40.30/6.77 | | (204) all_51_1 = 0
% 40.30/6.77 | |
% 40.30/6.77 | | COMBINE_EQS: (165), (185) imply:
% 40.30/6.77 | | (205) all_53_1 = all_38_1
% 40.30/6.77 | |
% 40.30/6.77 | | SIMP: (205) implies:
% 40.30/6.77 | | (206) all_53_1 = all_38_1
% 40.30/6.77 | |
% 40.30/6.77 | | REDUCE: (84), (165) imply:
% 40.30/6.77 | | (207) apart_point_and_line(all_38_1, all_38_2) = all_55_0
% 40.30/6.77 | |
% 40.30/6.77 | | REDUCE: (81), (206) imply:
% 40.30/6.77 | | (208) apart_point_and_line(all_38_1, all_38_3) = all_53_0
% 40.30/6.77 | |
% 40.30/6.77 | | REDUCE: (95), (203) imply:
% 40.30/6.77 | | (209) apart_point_and_line(all_38_4, all_38_2) = all_61_0
% 40.30/6.77 | |
% 40.30/6.77 | | REDUCE: (118), (177) imply:
% 40.30/6.77 | | (210) apart_point_and_line(all_38_5, all_38_3) = all_73_0
% 40.30/6.78 | |
% 40.30/6.78 | | REDUCE: (103), (200) imply:
% 40.30/6.78 | | (211) apart_point_and_line(all_38_6, all_38_3) = all_65_0
% 40.30/6.78 | |
% 40.30/6.78 | | REDUCE: (98), (162) imply:
% 40.30/6.78 | | (212) apart_point_and_line(all_38_6, all_38_2) = all_63_0
% 40.30/6.78 | |
% 40.30/6.78 | | BETA: splitting (89) gives:
% 40.30/6.78 | |
% 40.30/6.78 | | Case 1:
% 40.30/6.78 | | |
% 40.30/6.78 | | | (213) ~ (all_57_0 = 0)
% 40.30/6.78 | | |
% 40.30/6.78 | | | BETA: splitting (111) gives:
% 40.30/6.78 | | |
% 40.30/6.78 | | | Case 1:
% 40.30/6.78 | | | |
% 40.30/6.78 | | | | (214) ~ (all_69_0 = 0)
% 40.30/6.78 | | | |
% 40.30/6.78 | | | | BETA: splitting (115) gives:
% 40.30/6.78 | | | |
% 40.30/6.78 | | | | Case 1:
% 40.30/6.78 | | | | |
% 40.30/6.78 | | | | | (215) ~ (all_71_0 = 0)
% 40.30/6.78 | | | | |
% 40.30/6.78 | | | | | GROUND_INST: instantiating (33) with all_59_0, all_65_0, all_38_3,
% 40.30/6.78 | | | | | all_38_6, simplifying with (92), (211) gives:
% 40.30/6.78 | | | | | (216) all_65_0 = all_59_0
% 40.30/6.78 | | | | |
% 40.30/6.78 | | | | | GROUND_INST: instantiating (33) with all_69_0, all_63_0, all_38_2,
% 40.30/6.78 | | | | | all_38_6, simplifying with (110), (212) gives:
% 40.30/6.78 | | | | | (217) all_69_0 = all_63_0
% 40.30/6.78 | | | | |
% 40.30/6.78 | | | | | GROUND_INST: instantiating (33) with all_67_0, all_73_0, all_38_3,
% 40.30/6.78 | | | | | all_38_5, simplifying with (107), (210) gives:
% 40.30/6.78 | | | | | (218) all_73_0 = all_67_0
% 40.30/6.78 | | | | |
% 40.30/6.78 | | | | | GROUND_INST: instantiating (33) with all_71_0, all_61_0, all_38_2,
% 40.30/6.78 | | | | | all_38_4, simplifying with (114), (209) gives:
% 40.30/6.78 | | | | | (219) all_71_0 = all_61_0
% 40.30/6.78 | | | | |
% 40.30/6.78 | | | | | GROUND_INST: instantiating (33) with all_51_0, all_53_0, all_38_3,
% 40.30/6.78 | | | | | all_38_1, simplifying with (77), (208) gives:
% 40.30/6.78 | | | | | (220) all_53_0 = all_51_0
% 40.30/6.78 | | | | |
% 40.30/6.78 | | | | | GROUND_INST: instantiating (33) with all_57_0, all_55_0, all_38_2,
% 40.30/6.78 | | | | | all_38_1, simplifying with (88), (207) gives:
% 40.30/6.78 | | | | | (221) all_57_0 = all_55_0
% 40.30/6.78 | | | | |
% 40.30/6.78 | | | | | REDUCE: (117), (218) imply:
% 40.30/6.78 | | | | | (222) ~ (all_67_0 = 0)
% 40.30/6.78 | | | | |
% 40.30/6.78 | | | | | REDUCE: (215), (219) imply:
% 40.30/6.78 | | | | | (223) ~ (all_61_0 = 0)
% 40.30/6.78 | | | | |
% 40.30/6.78 | | | | | REDUCE: (214), (217) imply:
% 40.30/6.78 | | | | | (224) ~ (all_63_0 = 0)
% 40.30/6.78 | | | | |
% 40.30/6.78 | | | | | REDUCE: (101), (216) imply:
% 40.30/6.78 | | | | | (225) ~ (all_59_0 = 0)
% 40.30/6.78 | | | | |
% 40.30/6.78 | | | | | REDUCE: (213), (221) imply:
% 40.30/6.78 | | | | | (226) ~ (all_55_0 = 0)
% 40.30/6.78 | | | | |
% 40.30/6.78 | | | | | REDUCE: (79), (220) imply:
% 40.30/6.78 | | | | | (227) ~ (all_51_0 = 0)
% 40.30/6.78 | | | | |
% 40.30/6.78 | | | | | GROUND_INST: instantiating (13) with all_38_3, all_38_2, all_38_3,
% 40.30/6.78 | | | | | all_77_3, simplifying with (42), (43), (47), (124) gives:
% 40.30/6.78 | | | | | (228) all_77_3 = 0 | distinct_lines(all_38_2, all_38_3) = 0
% 40.30/6.78 | | | | |
% 40.30/6.78 | | | | | GROUND_INST: instantiating (11) with all_38_6, all_38_6, all_38_2,
% 40.30/6.78 | | | | | all_38_2, all_63_0, all_63_0, simplifying with (39),
% 40.30/6.78 | | | | | (43), (212) gives:
% 40.30/6.78 | | | | | (229) all_63_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 40.30/6.78 | | | | | ? [v3: any] : (apart_point_and_line(all_38_6, all_38_2) = v3
% 40.30/6.78 | | | | | & apart_point_and_line(all_38_6, all_38_2) = v2 &
% 40.30/6.78 | | | | | distinct_lines(all_38_2, all_38_2) = v1 &
% 40.30/6.78 | | | | | distinct_points(all_38_6, all_38_6) = v0 & ( ~ (v1 = 0) |
% 40.30/6.78 | | | | | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.78 | | | | |
% 40.30/6.78 | | | | | GROUND_INST: instantiating (9) with all_38_6, all_38_4, all_38_2,
% 40.30/6.78 | | | | | all_38_3, all_63_0, all_59_0, simplifying with (39),
% 40.30/6.78 | | | | | (41), (42), (43), (46), (92), (212) gives:
% 40.30/6.78 | | | | | (230) all_63_0 = 0 | all_59_0 = 0 | ? [v0: any] : ? [v1: any] :
% 40.30/6.78 | | | | | ? [v2: any] : (apart_point_and_line(all_38_4, all_38_2) = v1
% 40.30/6.78 | | | | | & apart_point_and_line(all_38_4, all_38_3) = v2 &
% 40.30/6.78 | | | | | distinct_lines(all_38_2, all_38_3) = v0 & ( ~ (v0 = 0) | v2
% 40.30/6.78 | | | | | = 0 | v1 = 0))
% 40.30/6.78 | | | | |
% 40.30/6.78 | | | | | GROUND_INST: instantiating (12) with all_38_1, all_38_6, all_38_2,
% 40.30/6.78 | | | | | all_38_3, all_63_0, all_59_0, simplifying with (39),
% 40.30/6.78 | | | | | (42), (43), (44), (92), (148), (212) gives:
% 40.30/6.78 | | | | | (231) all_63_0 = 0 | all_59_0 = 0 | ? [v0: any] : ? [v1: any] :
% 40.30/6.78 | | | | | ? [v2: any] : (apart_point_and_line(all_38_1, all_38_2) = v1
% 40.30/6.78 | | | | | & apart_point_and_line(all_38_1, all_38_3) = v2 &
% 40.30/6.78 | | | | | distinct_lines(all_38_2, all_38_3) = v0 & ( ~ (v0 = 0) | v2
% 40.30/6.78 | | | | | = 0 | v1 = 0))
% 40.30/6.78 | | | | |
% 40.30/6.78 | | | | | GROUND_INST: instantiating (14) with all_38_6, all_38_2, all_38_3,
% 40.30/6.78 | | | | | all_63_0, all_59_0, simplifying with (39), (42), (43),
% 40.30/6.78 | | | | | (92), (212) gives:
% 40.30/6.78 | | | | | (232) all_63_0 = 0 | all_59_0 = 0 | ? [v0: any] : ? [v1: any] :
% 40.30/6.78 | | | | | (convergent_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.78 | | | | | distinct_lines(all_38_2, all_38_3) = v0 & ( ~ (v0 = 0) | v1
% 40.30/6.78 | | | | | = 0))
% 40.30/6.78 | | | | |
% 40.30/6.79 | | | | | GROUND_INST: instantiating (11) with all_38_6, all_38_6, all_38_3,
% 40.30/6.79 | | | | | all_38_2, all_59_0, all_63_0, simplifying with (39),
% 40.30/6.79 | | | | | (42), (43), (92), (212) gives:
% 40.30/6.79 | | | | | (233) all_63_0 = 0 | all_59_0 = 0 | ? [v0: any] : ? [v1: any] :
% 40.30/6.79 | | | | | ? [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_6,
% 40.30/6.79 | | | | | all_38_2) = v2 & apart_point_and_line(all_38_6, all_38_3)
% 40.30/6.79 | | | | | = v3 & distinct_lines(all_38_3, all_38_2) = v1 &
% 40.30/6.79 | | | | | distinct_points(all_38_6, all_38_6) = v0 & ( ~ (v1 = 0) |
% 40.30/6.79 | | | | | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.79 | | | | |
% 40.30/6.79 | | | | | GROUND_INST: instantiating (11) with all_38_6, all_38_6, all_38_2,
% 40.30/6.79 | | | | | all_38_3, all_63_0, all_59_0, simplifying with (39),
% 40.30/6.79 | | | | | (42), (43), (92), (212) gives:
% 40.30/6.79 | | | | | (234) all_63_0 = 0 | all_59_0 = 0 | ? [v0: any] : ? [v1: any] :
% 40.30/6.79 | | | | | ? [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_6,
% 40.30/6.79 | | | | | all_38_2) = v3 & apart_point_and_line(all_38_6, all_38_3)
% 40.30/6.79 | | | | | = v2 & distinct_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.79 | | | | | distinct_points(all_38_6, all_38_6) = v0 & ( ~ (v1 = 0) |
% 40.30/6.79 | | | | | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.79 | | | | |
% 40.30/6.79 | | | | | GROUND_INST: instantiating (12) with all_38_6, all_38_5, all_38_3,
% 40.30/6.79 | | | | | all_38_3, all_67_0, all_67_0, simplifying with (39),
% 40.30/6.79 | | | | | (40), (42), (45), (107) gives:
% 40.30/6.79 | | | | | (235) all_67_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 40.30/6.79 | | | | | (apart_point_and_line(all_38_6, all_38_3) = v2 &
% 40.30/6.79 | | | | | apart_point_and_line(all_38_6, all_38_3) = v1 &
% 40.30/6.79 | | | | | distinct_lines(all_38_3, all_38_3) = v0 & ( ~ (v0 = 0) | v2
% 40.30/6.79 | | | | | = 0 | v1 = 0))
% 40.30/6.79 | | | | |
% 40.30/6.79 | | | | | GROUND_INST: instantiating (11) with all_38_6, all_38_5, all_38_2,
% 40.30/6.79 | | | | | all_38_3, all_63_0, all_67_0, simplifying with (39),
% 40.30/6.79 | | | | | (40), (42), (43), (107), (212) gives:
% 40.30/6.79 | | | | | (236) all_67_0 = 0 | all_63_0 = 0 | ? [v0: any] : ? [v1: any] :
% 40.30/6.79 | | | | | ? [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_5,
% 40.30/6.79 | | | | | all_38_2) = v3 & apart_point_and_line(all_38_6, all_38_3)
% 40.30/6.79 | | | | | = v2 & distinct_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.79 | | | | | distinct_points(all_38_6, all_38_5) = v0 & ( ~ (v1 = 0) |
% 40.30/6.79 | | | | | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.79 | | | | |
% 40.30/6.79 | | | | | GROUND_INST: instantiating (11) with all_38_5, all_38_6, all_38_3,
% 40.30/6.79 | | | | | all_38_2, all_67_0, all_63_0, simplifying with (39),
% 40.30/6.79 | | | | | (40), (42), (43), (107), (212) gives:
% 40.30/6.79 | | | | | (237) all_67_0 = 0 | all_63_0 = 0 | ? [v0: any] : ? [v1: any] :
% 40.30/6.79 | | | | | ? [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_5,
% 40.30/6.79 | | | | | all_38_2) = v2 & apart_point_and_line(all_38_6, all_38_3)
% 40.30/6.79 | | | | | = v3 & distinct_lines(all_38_3, all_38_2) = v1 &
% 40.30/6.79 | | | | | distinct_points(all_38_5, all_38_6) = v0 & ( ~ (v1 = 0) |
% 40.30/6.79 | | | | | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.79 | | | | |
% 40.30/6.79 | | | | | GROUND_INST: instantiating (10) with all_38_5, all_38_6, all_38_2,
% 40.30/6.79 | | | | | all_38_3, all_67_0, all_63_0, simplifying with (39),
% 40.30/6.79 | | | | | (40), (42), (43), (107), (212) gives:
% 40.30/6.79 | | | | | (238) all_67_0 = 0 | all_63_0 = 0 | ? [v0: any] : ? [v1: any] :
% 40.30/6.79 | | | | | ? [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_5,
% 40.30/6.79 | | | | | all_38_2) = v2 & apart_point_and_line(all_38_6, all_38_3)
% 40.30/6.79 | | | | | = v3 & distinct_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.79 | | | | | distinct_points(all_38_5, all_38_6) = v0 & ( ~ (v1 = 0) |
% 40.30/6.79 | | | | | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.79 | | | | |
% 40.30/6.79 | | | | | GROUND_INST: instantiating (12) with all_38_6, all_38_4, all_38_2,
% 40.30/6.79 | | | | | all_38_2, all_61_0, all_61_0, simplifying with (39),
% 40.30/6.79 | | | | | (41), (43), (46), (209) gives:
% 40.30/6.79 | | | | | (239) all_61_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 40.30/6.79 | | | | | (apart_point_and_line(all_38_6, all_38_2) = v2 &
% 40.30/6.79 | | | | | apart_point_and_line(all_38_6, all_38_2) = v1 &
% 40.30/6.79 | | | | | distinct_lines(all_38_2, all_38_2) = v0 & ( ~ (v0 = 0) | v2
% 40.30/6.79 | | | | | = 0 | v1 = 0))
% 40.30/6.79 | | | | |
% 40.30/6.79 | | | | | GROUND_INST: instantiating (11) with all_38_4, all_38_5, all_38_2,
% 40.30/6.79 | | | | | all_38_3, all_61_0, all_67_0, simplifying with (40),
% 40.30/6.79 | | | | | (41), (42), (43), (107), (209) gives:
% 40.30/6.80 | | | | | (240) all_67_0 = 0 | all_61_0 = 0 | ? [v0: any] : ? [v1: any] :
% 40.30/6.80 | | | | | ? [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_4,
% 40.30/6.80 | | | | | all_38_3) = v2 & apart_point_and_line(all_38_5, all_38_2)
% 40.30/6.80 | | | | | = v3 & distinct_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.80 | | | | | distinct_points(all_38_4, all_38_5) = v0 & ( ~ (v1 = 0) |
% 40.30/6.80 | | | | | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.80 | | | | |
% 40.30/6.80 | | | | | GROUND_INST: instantiating (11) with all_38_4, all_38_6, all_38_2,
% 40.30/6.80 | | | | | all_38_2, all_61_0, all_63_0, simplifying with (39),
% 40.30/6.80 | | | | | (41), (43), (209), (212) gives:
% 40.30/6.80 | | | | | (241) all_63_0 = 0 | all_61_0 = 0 | ? [v0: any] : ? [v1: any] :
% 40.30/6.80 | | | | | ? [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_4,
% 40.30/6.80 | | | | | all_38_2) = v2 & apart_point_and_line(all_38_6, all_38_2)
% 40.30/6.80 | | | | | = v3 & distinct_lines(all_38_2, all_38_2) = v1 &
% 40.30/6.80 | | | | | distinct_points(all_38_4, all_38_6) = v0 & ( ~ (v1 = 0) |
% 40.30/6.80 | | | | | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.80 | | | | |
% 40.30/6.80 | | | | | GROUND_INST: instantiating (11) with all_38_4, all_38_6, all_38_2,
% 40.30/6.80 | | | | | all_38_3, all_61_0, all_59_0, simplifying with (39),
% 40.30/6.80 | | | | | (41), (42), (43), (92), (209) gives:
% 40.30/6.80 | | | | | (242) all_61_0 = 0 | all_59_0 = 0 | ? [v0: any] : ? [v1: any] :
% 40.30/6.80 | | | | | ? [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_4,
% 40.30/6.80 | | | | | all_38_3) = v2 & apart_point_and_line(all_38_6, all_38_2)
% 40.30/6.80 | | | | | = v3 & distinct_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.80 | | | | | distinct_points(all_38_4, all_38_6) = v0 & ( ~ (v1 = 0) |
% 40.30/6.80 | | | | | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.80 | | | | |
% 40.30/6.80 | | | | | GROUND_INST: instantiating (10) with all_38_4, all_38_6, all_38_3,
% 40.30/6.80 | | | | | all_38_2, all_61_0, all_59_0, simplifying with (39),
% 40.30/6.80 | | | | | (41), (42), (43), (92), (209) gives:
% 40.30/6.80 | | | | | (243) all_61_0 = 0 | all_59_0 = 0 | ? [v0: any] : ? [v1: any] :
% 40.30/6.80 | | | | | ? [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_4,
% 40.30/6.80 | | | | | all_38_3) = v2 & apart_point_and_line(all_38_6, all_38_2)
% 40.30/6.80 | | | | | = v3 & distinct_lines(all_38_3, all_38_2) = v1 &
% 40.30/6.80 | | | | | distinct_points(all_38_4, all_38_6) = v0 & ( ~ (v1 = 0) |
% 40.30/6.80 | | | | | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.80 | | | | |
% 40.30/6.80 | | | | | GROUND_INST: instantiating (10) with all_38_1, all_38_6, all_38_2,
% 40.30/6.80 | | | | | all_38_3, all_51_0, all_63_0, simplifying with (39),
% 40.30/6.80 | | | | | (42), (43), (44), (77), (212) gives:
% 40.30/6.80 | | | | | (244) all_63_0 = 0 | all_51_0 = 0 | ? [v0: any] : ? [v1: any] :
% 40.30/6.80 | | | | | ? [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_1,
% 40.30/6.80 | | | | | all_38_2) = v2 & apart_point_and_line(all_38_6, all_38_3)
% 40.30/6.80 | | | | | = v3 & distinct_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.80 | | | | | distinct_points(all_38_1, all_38_6) = v0 & ( ~ (v1 = 0) |
% 40.30/6.80 | | | | | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.80 | | | | |
% 40.30/6.80 | | | | | GROUND_INST: instantiating (9) with all_38_1, all_38_6, all_38_2,
% 40.30/6.80 | | | | | all_38_3, all_55_0, all_51_0, simplifying with (39),
% 40.30/6.80 | | | | | (42), (43), (44), (77), (148), (207) gives:
% 40.30/6.80 | | | | | (245) all_55_0 = 0 | all_51_0 = 0 | ? [v0: any] : ? [v1: any] :
% 40.30/6.80 | | | | | ? [v2: any] : (apart_point_and_line(all_38_6, all_38_2) = v1
% 40.30/6.80 | | | | | & apart_point_and_line(all_38_6, all_38_3) = v2 &
% 40.30/6.80 | | | | | distinct_lines(all_38_2, all_38_3) = v0 & ( ~ (v0 = 0) | v2
% 40.30/6.80 | | | | | = 0 | v1 = 0))
% 40.30/6.80 | | | | |
% 40.30/6.80 | | | | | GROUND_INST: instantiating (11) with all_38_1, all_38_1, all_38_2,
% 40.30/6.80 | | | | | all_38_3, all_55_0, all_51_0, simplifying with (42),
% 40.30/6.80 | | | | | (43), (44), (77), (207) gives:
% 40.30/6.80 | | | | | (246) all_55_0 = 0 | all_51_0 = 0 | ? [v0: any] : ? [v1: any] :
% 40.30/6.80 | | | | | ? [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_1,
% 40.30/6.80 | | | | | all_38_2) = v3 & apart_point_and_line(all_38_1, all_38_3)
% 40.30/6.80 | | | | | = v2 & distinct_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.80 | | | | | distinct_points(all_38_1, all_38_1) = v0 & ( ~ (v1 = 0) |
% 40.30/6.80 | | | | | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.80 | | | | |
% 40.30/6.80 | | | | | GROUND_INST: instantiating (10) with all_38_1, all_38_1, all_38_2,
% 40.30/6.80 | | | | | all_38_3, all_51_0, all_55_0, simplifying with (42),
% 40.30/6.80 | | | | | (43), (44), (77), (207) gives:
% 40.30/6.80 | | | | | (247) all_55_0 = 0 | all_51_0 = 0 | ? [v0: any] : ? [v1: any] :
% 40.30/6.80 | | | | | ? [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_1,
% 40.30/6.80 | | | | | all_38_2) = v2 & apart_point_and_line(all_38_1, all_38_3)
% 40.30/6.80 | | | | | = v3 & distinct_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.80 | | | | | distinct_points(all_38_1, all_38_1) = v0 & ( ~ (v1 = 0) |
% 40.30/6.80 | | | | | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.80 | | | | |
% 40.30/6.80 | | | | | GROUND_INST: instantiating (11) with all_38_1, all_38_5, all_38_2,
% 40.30/6.80 | | | | | all_38_3, all_55_0, all_67_0, simplifying with (40),
% 40.30/6.80 | | | | | (42), (43), (44), (107), (207) gives:
% 40.30/6.81 | | | | | (248) all_67_0 = 0 | all_55_0 = 0 | ? [v0: any] : ? [v1: any] :
% 40.30/6.81 | | | | | ? [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_1,
% 40.30/6.81 | | | | | all_38_3) = v2 & apart_point_and_line(all_38_5, all_38_2)
% 40.30/6.81 | | | | | = v3 & distinct_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.81 | | | | | distinct_points(all_38_1, all_38_5) = v0 & ( ~ (v1 = 0) |
% 40.30/6.81 | | | | | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.81 | | | | |
% 40.30/6.81 | | | | | GROUND_INST: instantiating (10) with all_38_5, all_38_1, all_38_2,
% 40.30/6.81 | | | | | all_38_3, all_67_0, all_55_0, simplifying with (40),
% 40.30/6.81 | | | | | (42), (43), (44), (107), (207) gives:
% 40.30/6.81 | | | | | (249) all_67_0 = 0 | all_55_0 = 0 | ? [v0: any] : ? [v1: any] :
% 40.30/6.81 | | | | | ? [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_1,
% 40.30/6.81 | | | | | all_38_3) = v3 & apart_point_and_line(all_38_5, all_38_2)
% 40.30/6.81 | | | | | = v2 & distinct_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.81 | | | | | distinct_points(all_38_5, all_38_1) = v0 & ( ~ (v1 = 0) |
% 40.30/6.81 | | | | | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.81 | | | | |
% 40.30/6.81 | | | | | GROUND_INST: instantiating (11) with all_38_6, all_38_1, all_38_2,
% 40.30/6.81 | | | | | all_38_2, all_63_0, all_55_0, simplifying with (39),
% 40.30/6.81 | | | | | (43), (44), (207), (212) gives:
% 40.30/6.81 | | | | | (250) all_63_0 = 0 | all_55_0 = 0 | ? [v0: any] : ? [v1: any] :
% 40.30/6.81 | | | | | ? [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_1,
% 40.30/6.81 | | | | | all_38_2) = v3 & apart_point_and_line(all_38_6, all_38_2)
% 40.30/6.81 | | | | | = v2 & distinct_lines(all_38_2, all_38_2) = v1 &
% 40.30/6.81 | | | | | distinct_points(all_38_6, all_38_1) = v0 & ( ~ (v1 = 0) |
% 40.30/6.81 | | | | | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.81 | | | | |
% 40.30/6.81 | | | | | GROUND_INST: instantiating (11) with all_38_1, all_38_6, all_38_2,
% 40.30/6.81 | | | | | all_38_2, all_55_0, all_63_0, simplifying with (39),
% 40.30/6.81 | | | | | (43), (44), (207), (212) gives:
% 40.30/6.81 | | | | | (251) all_63_0 = 0 | all_55_0 = 0 | ? [v0: any] : ? [v1: any] :
% 40.30/6.81 | | | | | ? [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_1,
% 40.30/6.81 | | | | | all_38_2) = v2 & apart_point_and_line(all_38_6, all_38_2)
% 40.30/6.81 | | | | | = v3 & distinct_lines(all_38_2, all_38_2) = v1 &
% 40.30/6.81 | | | | | distinct_points(all_38_1, all_38_6) = v0 & ( ~ (v1 = 0) |
% 40.30/6.81 | | | | | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.81 | | | | |
% 40.30/6.81 | | | | | GROUND_INST: instantiating (11) with all_38_1, all_38_6, all_38_2,
% 40.30/6.81 | | | | | all_38_3, all_55_0, all_59_0, simplifying with (39),
% 40.30/6.81 | | | | | (42), (43), (44), (92), (207) gives:
% 40.30/6.81 | | | | | (252) all_59_0 = 0 | all_55_0 = 0 | ? [v0: any] : ? [v1: any] :
% 40.30/6.81 | | | | | ? [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_1,
% 40.30/6.81 | | | | | all_38_3) = v2 & apart_point_and_line(all_38_6, all_38_2)
% 40.30/6.81 | | | | | = v3 & distinct_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.81 | | | | | distinct_points(all_38_1, all_38_6) = v0 & ( ~ (v1 = 0) |
% 40.30/6.81 | | | | | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.81 | | | | |
% 40.30/6.81 | | | | | GROUND_INST: instantiating (16) with all_38_3, all_38_2, all_38_3,
% 40.30/6.81 | | | | | all_77_2, simplifying with (42), (43), (47), (125) gives:
% 40.30/6.81 | | | | | (253) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 40.30/6.81 | | | | | (unorthogonal_lines(all_38_2, all_38_3) = v3 &
% 40.30/6.81 | | | | | unorthogonal_lines(all_38_3, all_38_2) = v0 &
% 40.30/6.81 | | | | | convergent_lines(all_38_2, all_38_3) = v2 &
% 40.30/6.81 | | | | | convergent_lines(all_38_3, all_38_3) = v1 & ( ~ (v0 = 0) |
% 40.30/6.81 | | | | | (v3 = 0 & v2 = 0) | (v1 = 0 & all_77_2 = 0)))
% 40.30/6.81 | | | | |
% 40.30/6.81 | | | | | GROUND_INST: instantiating (23) with all_38_3, all_38_2, all_38_3, 0,
% 40.30/6.81 | | | | | all_77_2, simplifying with (42), (43), (47), (125) gives:
% 40.30/6.81 | | | | | (254) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 40.30/6.81 | | | | | (unorthogonal_lines(all_38_2, all_38_3) = v3 &
% 40.30/6.81 | | | | | unorthogonal_lines(all_38_3, all_38_2) = v0 &
% 40.30/6.81 | | | | | convergent_lines(all_38_2, all_38_3) = v2 &
% 40.30/6.81 | | | | | convergent_lines(all_38_3, all_38_3) = v1 & ( ~ (v3 = 0) |
% 40.30/6.81 | | | | | ~ (v2 = 0) | v0 = 0 | (v1 = 0 & all_77_2 = 0)))
% 40.30/6.81 | | | | |
% 40.30/6.81 | | | | | GROUND_INST: instantiating (20) with all_38_3, all_38_3, all_38_2,
% 40.30/6.81 | | | | | all_75_3, all_75_3, simplifying with (42), (43), (121)
% 40.30/6.81 | | | | | gives:
% 40.30/6.81 | | | | | (255) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 40.30/6.81 | | | | | (unorthogonal_lines(all_38_3, all_38_3) = v1 &
% 40.30/6.81 | | | | | convergent_lines(all_38_3, all_38_2) = v3 &
% 40.30/6.81 | | | | | convergent_lines(all_38_3, all_38_2) = v2 &
% 40.30/6.81 | | | | | convergent_lines(all_38_3, all_38_3) = v0 & ( ~ (v1 = 0) |
% 40.30/6.81 | | | | | ~ (v0 = 0) | (v3 = 0 & all_75_3 = 0) | (v2 = 0 & all_75_3
% 40.30/6.81 | | | | | = 0)))
% 40.30/6.81 | | | | |
% 40.30/6.81 | | | | | GROUND_INST: instantiating (24) with all_38_3, all_38_2, all_38_3,
% 40.30/6.81 | | | | | all_75_3, all_77_2, simplifying with (42), (43), (121),
% 40.30/6.81 | | | | | (125) gives:
% 40.30/6.81 | | | | | (256) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 40.30/6.81 | | | | | (unorthogonal_lines(all_38_2, all_38_3) = v3 &
% 40.30/6.81 | | | | | convergent_lines(all_38_2, all_38_3) = v2 &
% 40.30/6.81 | | | | | convergent_lines(all_38_3, all_38_2) = v0 &
% 40.30/6.81 | | | | | convergent_lines(all_38_3, all_38_3) = v1 & ( ~ (v3 = 0) |
% 40.30/6.81 | | | | | ~ (v2 = 0) | (v1 = 0 & all_77_2 = 0) | (v0 = 0 & all_75_3
% 40.30/6.81 | | | | | = 0)))
% 40.30/6.81 | | | | |
% 40.30/6.81 | | | | | GROUND_INST: instantiating (19) with all_38_3, all_38_3, all_38_2, 0,
% 40.30/6.81 | | | | | all_75_3, simplifying with (42), (43), (47), (121) gives:
% 40.30/6.82 | | | | | (257) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 40.30/6.82 | | | | | (unorthogonal_lines(all_38_3, all_38_2) = v2 &
% 40.30/6.82 | | | | | unorthogonal_lines(all_38_3, all_38_3) = v1 &
% 40.30/6.82 | | | | | convergent_lines(all_38_3, all_38_2) = v3 &
% 40.30/6.82 | | | | | convergent_lines(all_38_3, all_38_3) = v0 & ( ~ (v1 = 0) |
% 40.30/6.82 | | | | | ~ (v0 = 0) | v2 = 0 | (v3 = 0 & all_75_3 = 0)))
% 40.30/6.82 | | | | |
% 40.30/6.82 | | | | | GROUND_INST: instantiating (18) with all_38_3, all_38_3, all_38_2,
% 40.30/6.82 | | | | | all_75_3, 0, simplifying with (42), (43), (47), (121)
% 40.30/6.82 | | | | | gives:
% 40.30/6.82 | | | | | (258) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 40.30/6.82 | | | | | (unorthogonal_lines(all_38_3, all_38_2) = v3 &
% 40.30/6.82 | | | | | unorthogonal_lines(all_38_3, all_38_3) = v1 &
% 40.30/6.82 | | | | | convergent_lines(all_38_3, all_38_2) = v2 &
% 40.30/6.82 | | | | | convergent_lines(all_38_3, all_38_3) = v0 & ( ~ (v1 = 0) |
% 40.30/6.82 | | | | | ~ (v0 = 0) | v3 = 0 | (v2 = 0 & all_75_3 = 0)))
% 40.30/6.82 | | | | |
% 40.30/6.82 | | | | | DELTA: instantiating (258) with fresh symbols all_148_0, all_148_1,
% 40.30/6.82 | | | | | all_148_2, all_148_3 gives:
% 40.30/6.82 | | | | | (259) unorthogonal_lines(all_38_3, all_38_2) = all_148_0 &
% 40.30/6.82 | | | | | unorthogonal_lines(all_38_3, all_38_3) = all_148_2 &
% 40.30/6.82 | | | | | convergent_lines(all_38_3, all_38_2) = all_148_1 &
% 40.30/6.82 | | | | | convergent_lines(all_38_3, all_38_3) = all_148_3 & ( ~
% 40.30/6.82 | | | | | (all_148_2 = 0) | ~ (all_148_3 = 0) | all_148_0 = 0 |
% 40.30/6.82 | | | | | (all_148_1 = 0 & all_75_3 = 0))
% 40.30/6.82 | | | | |
% 40.30/6.82 | | | | | ALPHA: (259) implies:
% 40.30/6.82 | | | | | (260) convergent_lines(all_38_3, all_38_3) = all_148_3
% 40.30/6.82 | | | | |
% 40.30/6.82 | | | | | DELTA: instantiating (257) with fresh symbols all_150_0, all_150_1,
% 40.30/6.82 | | | | | all_150_2, all_150_3 gives:
% 40.30/6.82 | | | | | (261) unorthogonal_lines(all_38_3, all_38_2) = all_150_1 &
% 40.30/6.82 | | | | | unorthogonal_lines(all_38_3, all_38_3) = all_150_2 &
% 40.30/6.82 | | | | | convergent_lines(all_38_3, all_38_2) = all_150_0 &
% 40.30/6.82 | | | | | convergent_lines(all_38_3, all_38_3) = all_150_3 & ( ~
% 40.30/6.82 | | | | | (all_150_2 = 0) | ~ (all_150_3 = 0) | all_150_1 = 0 |
% 40.30/6.82 | | | | | (all_150_0 = 0 & all_75_3 = 0))
% 40.30/6.82 | | | | |
% 40.30/6.82 | | | | | ALPHA: (261) implies:
% 40.30/6.82 | | | | | (262) convergent_lines(all_38_3, all_38_3) = all_150_3
% 40.30/6.82 | | | | |
% 40.30/6.82 | | | | | DELTA: instantiating (254) with fresh symbols all_156_0, all_156_1,
% 40.30/6.82 | | | | | all_156_2, all_156_3 gives:
% 40.30/6.82 | | | | | (263) unorthogonal_lines(all_38_2, all_38_3) = all_156_0 &
% 40.30/6.82 | | | | | unorthogonal_lines(all_38_3, all_38_2) = all_156_3 &
% 40.30/6.82 | | | | | convergent_lines(all_38_2, all_38_3) = all_156_1 &
% 40.30/6.82 | | | | | convergent_lines(all_38_3, all_38_3) = all_156_2 & ( ~
% 40.30/6.82 | | | | | (all_156_0 = 0) | ~ (all_156_1 = 0) | all_156_3 = 0 |
% 40.30/6.82 | | | | | (all_156_2 = 0 & all_77_2 = 0))
% 40.30/6.82 | | | | |
% 40.30/6.82 | | | | | ALPHA: (263) implies:
% 40.30/6.82 | | | | | (264) convergent_lines(all_38_3, all_38_3) = all_156_2
% 40.30/6.82 | | | | |
% 40.30/6.82 | | | | | DELTA: instantiating (253) with fresh symbols all_160_0, all_160_1,
% 40.30/6.82 | | | | | all_160_2, all_160_3 gives:
% 40.30/6.82 | | | | | (265) unorthogonal_lines(all_38_2, all_38_3) = all_160_0 &
% 40.30/6.82 | | | | | unorthogonal_lines(all_38_3, all_38_2) = all_160_3 &
% 40.30/6.82 | | | | | convergent_lines(all_38_2, all_38_3) = all_160_1 &
% 40.30/6.82 | | | | | convergent_lines(all_38_3, all_38_3) = all_160_2 & ( ~
% 40.30/6.82 | | | | | (all_160_3 = 0) | (all_160_0 = 0 & all_160_1 = 0) |
% 40.30/6.82 | | | | | (all_160_2 = 0 & all_77_2 = 0))
% 40.30/6.82 | | | | |
% 40.30/6.82 | | | | | ALPHA: (265) implies:
% 40.30/6.82 | | | | | (266) convergent_lines(all_38_3, all_38_3) = all_160_2
% 40.30/6.82 | | | | |
% 40.30/6.82 | | | | | DELTA: instantiating (255) with fresh symbols all_170_0, all_170_1,
% 40.30/6.82 | | | | | all_170_2, all_170_3 gives:
% 40.30/6.82 | | | | | (267) unorthogonal_lines(all_38_3, all_38_3) = all_170_2 &
% 40.30/6.82 | | | | | convergent_lines(all_38_3, all_38_2) = all_170_0 &
% 40.30/6.82 | | | | | convergent_lines(all_38_3, all_38_2) = all_170_1 &
% 40.30/6.82 | | | | | convergent_lines(all_38_3, all_38_3) = all_170_3 & ( ~
% 40.30/6.82 | | | | | (all_170_2 = 0) | ~ (all_170_3 = 0) | (all_170_0 = 0 &
% 40.30/6.82 | | | | | all_75_3 = 0) | (all_170_1 = 0 & all_75_3 = 0))
% 40.30/6.82 | | | | |
% 40.30/6.82 | | | | | ALPHA: (267) implies:
% 40.30/6.82 | | | | | (268) convergent_lines(all_38_3, all_38_3) = all_170_3
% 40.30/6.82 | | | | |
% 40.30/6.82 | | | | | DELTA: instantiating (256) with fresh symbols all_174_0, all_174_1,
% 40.30/6.82 | | | | | all_174_2, all_174_3 gives:
% 40.30/6.82 | | | | | (269) unorthogonal_lines(all_38_2, all_38_3) = all_174_0 &
% 40.30/6.82 | | | | | convergent_lines(all_38_2, all_38_3) = all_174_1 &
% 40.30/6.82 | | | | | convergent_lines(all_38_3, all_38_2) = all_174_3 &
% 40.30/6.82 | | | | | convergent_lines(all_38_3, all_38_3) = all_174_2 & ( ~
% 40.30/6.82 | | | | | (all_174_0 = 0) | ~ (all_174_1 = 0) | (all_174_2 = 0 &
% 40.30/6.82 | | | | | all_77_2 = 0) | (all_174_3 = 0 & all_75_3 = 0))
% 40.30/6.82 | | | | |
% 40.30/6.82 | | | | | ALPHA: (269) implies:
% 40.30/6.82 | | | | | (270) convergent_lines(all_38_3, all_38_3) = all_174_2
% 40.30/6.82 | | | | |
% 40.30/6.82 | | | | | BETA: splitting (235) gives:
% 40.30/6.82 | | | | |
% 40.30/6.82 | | | | | Case 1:
% 40.30/6.82 | | | | | |
% 40.30/6.82 | | | | | | (271) all_67_0 = 0
% 40.30/6.82 | | | | | |
% 40.30/6.82 | | | | | | REDUCE: (222), (271) imply:
% 40.30/6.82 | | | | | | (272) $false
% 40.30/6.82 | | | | | |
% 40.30/6.82 | | | | | | CLOSE: (272) is inconsistent.
% 40.30/6.82 | | | | | |
% 40.30/6.82 | | | | | Case 2:
% 40.30/6.82 | | | | | |
% 40.30/6.82 | | | | | | (273) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 40.30/6.82 | | | | | | (apart_point_and_line(all_38_6, all_38_3) = v2 &
% 40.30/6.82 | | | | | | apart_point_and_line(all_38_6, all_38_3) = v1 &
% 40.30/6.82 | | | | | | distinct_lines(all_38_3, all_38_3) = v0 & ( ~ (v0 = 0) |
% 40.30/6.82 | | | | | | v2 = 0 | v1 = 0))
% 40.30/6.82 | | | | | |
% 40.30/6.82 | | | | | | DELTA: instantiating (273) with fresh symbols all_202_0, all_202_1,
% 40.30/6.82 | | | | | | all_202_2 gives:
% 40.30/6.82 | | | | | | (274) apart_point_and_line(all_38_6, all_38_3) = all_202_0 &
% 40.30/6.82 | | | | | | apart_point_and_line(all_38_6, all_38_3) = all_202_1 &
% 40.30/6.82 | | | | | | distinct_lines(all_38_3, all_38_3) = all_202_2 & ( ~
% 40.30/6.82 | | | | | | (all_202_2 = 0) | all_202_0 = 0 | all_202_1 = 0)
% 40.30/6.82 | | | | | |
% 40.30/6.82 | | | | | | ALPHA: (274) implies:
% 40.30/6.83 | | | | | | (275) apart_point_and_line(all_38_6, all_38_3) = all_202_1
% 40.30/6.83 | | | | | | (276) apart_point_and_line(all_38_6, all_38_3) = all_202_0
% 40.30/6.83 | | | | | |
% 40.30/6.83 | | | | | | BETA: splitting (239) gives:
% 40.30/6.83 | | | | | |
% 40.30/6.83 | | | | | | Case 1:
% 40.30/6.83 | | | | | | |
% 40.30/6.83 | | | | | | | (277) all_61_0 = 0
% 40.30/6.83 | | | | | | |
% 40.30/6.83 | | | | | | | REDUCE: (223), (277) imply:
% 40.30/6.83 | | | | | | | (278) $false
% 40.30/6.83 | | | | | | |
% 40.30/6.83 | | | | | | | CLOSE: (278) is inconsistent.
% 40.30/6.83 | | | | | | |
% 40.30/6.83 | | | | | | Case 2:
% 40.30/6.83 | | | | | | |
% 40.30/6.83 | | | | | | | (279) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 40.30/6.83 | | | | | | | (apart_point_and_line(all_38_6, all_38_2) = v2 &
% 40.30/6.83 | | | | | | | apart_point_and_line(all_38_6, all_38_2) = v1 &
% 40.30/6.83 | | | | | | | distinct_lines(all_38_2, all_38_2) = v0 & ( ~ (v0 = 0)
% 40.30/6.83 | | | | | | | | v2 = 0 | v1 = 0))
% 40.30/6.83 | | | | | | |
% 40.30/6.83 | | | | | | | DELTA: instantiating (279) with fresh symbols all_212_0,
% 40.30/6.83 | | | | | | | all_212_1, all_212_2 gives:
% 40.30/6.83 | | | | | | | (280) apart_point_and_line(all_38_6, all_38_2) = all_212_0 &
% 40.30/6.83 | | | | | | | apart_point_and_line(all_38_6, all_38_2) = all_212_1 &
% 40.30/6.83 | | | | | | | distinct_lines(all_38_2, all_38_2) = all_212_2 & ( ~
% 40.30/6.83 | | | | | | | (all_212_2 = 0) | all_212_0 = 0 | all_212_1 = 0)
% 40.30/6.83 | | | | | | |
% 40.30/6.83 | | | | | | | ALPHA: (280) implies:
% 40.30/6.83 | | | | | | | (281) apart_point_and_line(all_38_6, all_38_2) = all_212_1
% 40.30/6.83 | | | | | | | (282) apart_point_and_line(all_38_6, all_38_2) = all_212_0
% 40.30/6.83 | | | | | | |
% 40.30/6.83 | | | | | | | BETA: splitting (229) gives:
% 40.30/6.83 | | | | | | |
% 40.30/6.83 | | | | | | | Case 1:
% 40.30/6.83 | | | | | | | |
% 40.30/6.83 | | | | | | | | (283) all_63_0 = 0
% 40.30/6.83 | | | | | | | |
% 40.30/6.83 | | | | | | | | REDUCE: (224), (283) imply:
% 40.30/6.83 | | | | | | | | (284) $false
% 40.30/6.83 | | | | | | | |
% 40.30/6.83 | | | | | | | | CLOSE: (284) is inconsistent.
% 40.30/6.83 | | | | | | | |
% 40.30/6.83 | | | | | | | Case 2:
% 40.30/6.83 | | | | | | | |
% 40.30/6.83 | | | | | | | | (285) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3:
% 40.30/6.83 | | | | | | | | any] : (apart_point_and_line(all_38_6, all_38_2) = v3
% 40.30/6.83 | | | | | | | | & apart_point_and_line(all_38_6, all_38_2) = v2 &
% 40.30/6.83 | | | | | | | | distinct_lines(all_38_2, all_38_2) = v1 &
% 40.30/6.83 | | | | | | | | distinct_points(all_38_6, all_38_6) = v0 & ( ~ (v1 =
% 40.30/6.83 | | | | | | | | 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.83 | | | | | | | |
% 40.30/6.83 | | | | | | | | DELTA: instantiating (285) with fresh symbols all_227_0,
% 40.30/6.83 | | | | | | | | all_227_1, all_227_2, all_227_3 gives:
% 40.30/6.83 | | | | | | | | (286) apart_point_and_line(all_38_6, all_38_2) = all_227_0 &
% 40.30/6.83 | | | | | | | | apart_point_and_line(all_38_6, all_38_2) = all_227_1 &
% 40.30/6.83 | | | | | | | | distinct_lines(all_38_2, all_38_2) = all_227_2 &
% 40.30/6.83 | | | | | | | | distinct_points(all_38_6, all_38_6) = all_227_3 & ( ~
% 40.30/6.83 | | | | | | | | (all_227_2 = 0) | ~ (all_227_3 = 0) | all_227_0 = 0
% 40.30/6.83 | | | | | | | | | all_227_1 = 0)
% 40.30/6.83 | | | | | | | |
% 40.30/6.83 | | | | | | | | ALPHA: (286) implies:
% 40.30/6.83 | | | | | | | | (287) apart_point_and_line(all_38_6, all_38_2) = all_227_1
% 40.30/6.83 | | | | | | | | (288) apart_point_and_line(all_38_6, all_38_2) = all_227_0
% 40.30/6.83 | | | | | | | |
% 40.30/6.83 | | | | | | | | BETA: splitting (231) gives:
% 40.30/6.83 | | | | | | | |
% 40.30/6.83 | | | | | | | | Case 1:
% 40.30/6.83 | | | | | | | | |
% 40.30/6.83 | | | | | | | | | (289) all_63_0 = 0
% 40.30/6.83 | | | | | | | | |
% 40.30/6.83 | | | | | | | | | REDUCE: (224), (289) imply:
% 40.30/6.83 | | | | | | | | | (290) $false
% 40.30/6.83 | | | | | | | | |
% 40.30/6.83 | | | | | | | | | CLOSE: (290) is inconsistent.
% 40.30/6.83 | | | | | | | | |
% 40.30/6.83 | | | | | | | | Case 2:
% 40.30/6.83 | | | | | | | | |
% 40.30/6.83 | | | | | | | | | (291) all_59_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2:
% 40.30/6.83 | | | | | | | | | any] : (apart_point_and_line(all_38_1, all_38_2) =
% 40.30/6.83 | | | | | | | | | v1 & apart_point_and_line(all_38_1, all_38_3) = v2
% 40.30/6.83 | | | | | | | | | & distinct_lines(all_38_2, all_38_3) = v0 & ( ~ (v0
% 40.30/6.83 | | | | | | | | | = 0) | v2 = 0 | v1 = 0))
% 40.30/6.83 | | | | | | | | |
% 40.30/6.83 | | | | | | | | | BETA: splitting (233) gives:
% 40.30/6.83 | | | | | | | | |
% 40.30/6.83 | | | | | | | | | Case 1:
% 40.30/6.83 | | | | | | | | | |
% 40.30/6.83 | | | | | | | | | | (292) all_63_0 = 0
% 40.30/6.83 | | | | | | | | | |
% 40.30/6.83 | | | | | | | | | | REDUCE: (224), (292) imply:
% 40.30/6.83 | | | | | | | | | | (293) $false
% 40.30/6.83 | | | | | | | | | |
% 40.30/6.83 | | | | | | | | | | CLOSE: (293) is inconsistent.
% 40.30/6.83 | | | | | | | | | |
% 40.30/6.83 | | | | | | | | | Case 2:
% 40.30/6.83 | | | | | | | | | |
% 40.30/6.83 | | | | | | | | | | (294) all_59_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 40.30/6.83 | | | | | | | | | | [v2: any] : ? [v3: any] :
% 40.30/6.83 | | | | | | | | | | (apart_point_and_line(all_38_6, all_38_2) = v2 &
% 40.30/6.83 | | | | | | | | | | apart_point_and_line(all_38_6, all_38_3) = v3 &
% 40.30/6.83 | | | | | | | | | | distinct_lines(all_38_3, all_38_2) = v1 &
% 40.30/6.83 | | | | | | | | | | distinct_points(all_38_6, all_38_6) = v0 & ( ~
% 40.30/6.83 | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.83 | | | | | | | | | |
% 40.30/6.83 | | | | | | | | | | BETA: splitting (236) gives:
% 40.30/6.83 | | | | | | | | | |
% 40.30/6.83 | | | | | | | | | | Case 1:
% 40.30/6.83 | | | | | | | | | | |
% 40.30/6.83 | | | | | | | | | | | (295) all_67_0 = 0
% 40.30/6.83 | | | | | | | | | | |
% 40.30/6.83 | | | | | | | | | | | REDUCE: (222), (295) imply:
% 40.30/6.83 | | | | | | | | | | | (296) $false
% 40.30/6.83 | | | | | | | | | | |
% 40.30/6.83 | | | | | | | | | | | CLOSE: (296) is inconsistent.
% 40.30/6.83 | | | | | | | | | | |
% 40.30/6.83 | | | | | | | | | | Case 2:
% 40.30/6.83 | | | | | | | | | | |
% 40.30/6.83 | | | | | | | | | | | (297) all_63_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 40.30/6.83 | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 40.30/6.83 | | | | | | | | | | | (apart_point_and_line(all_38_5, all_38_2) = v3 &
% 40.30/6.83 | | | | | | | | | | | apart_point_and_line(all_38_6, all_38_3) = v2 &
% 40.30/6.83 | | | | | | | | | | | distinct_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.83 | | | | | | | | | | | distinct_points(all_38_6, all_38_5) = v0 & ( ~
% 40.30/6.83 | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.83 | | | | | | | | | | |
% 40.30/6.83 | | | | | | | | | | | BETA: splitting (234) gives:
% 40.30/6.83 | | | | | | | | | | |
% 40.30/6.83 | | | | | | | | | | | Case 1:
% 40.30/6.83 | | | | | | | | | | | |
% 40.30/6.83 | | | | | | | | | | | | (298) all_63_0 = 0
% 40.30/6.83 | | | | | | | | | | | |
% 40.30/6.83 | | | | | | | | | | | | REDUCE: (224), (298) imply:
% 40.30/6.83 | | | | | | | | | | | | (299) $false
% 40.30/6.83 | | | | | | | | | | | |
% 40.30/6.83 | | | | | | | | | | | | CLOSE: (299) is inconsistent.
% 40.30/6.83 | | | | | | | | | | | |
% 40.30/6.83 | | | | | | | | | | | Case 2:
% 40.30/6.83 | | | | | | | | | | | |
% 40.30/6.83 | | | | | | | | | | | | (300) all_59_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 40.30/6.83 | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 40.30/6.83 | | | | | | | | | | | | (apart_point_and_line(all_38_6, all_38_2) = v3 &
% 40.30/6.83 | | | | | | | | | | | | apart_point_and_line(all_38_6, all_38_3) = v2 &
% 40.30/6.83 | | | | | | | | | | | | distinct_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.83 | | | | | | | | | | | | distinct_points(all_38_6, all_38_6) = v0 & ( ~
% 40.30/6.83 | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.83 | | | | | | | | | | | |
% 40.30/6.83 | | | | | | | | | | | | BETA: splitting (230) gives:
% 40.30/6.83 | | | | | | | | | | | |
% 40.30/6.83 | | | | | | | | | | | | Case 1:
% 40.30/6.83 | | | | | | | | | | | | |
% 40.30/6.83 | | | | | | | | | | | | | (301) all_63_0 = 0
% 40.30/6.83 | | | | | | | | | | | | |
% 40.30/6.83 | | | | | | | | | | | | | REDUCE: (224), (301) imply:
% 40.30/6.83 | | | | | | | | | | | | | (302) $false
% 40.30/6.83 | | | | | | | | | | | | |
% 40.30/6.83 | | | | | | | | | | | | | CLOSE: (302) is inconsistent.
% 40.30/6.83 | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | Case 2:
% 40.30/6.84 | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | (303) all_59_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 40.30/6.84 | | | | | | | | | | | | | [v2: any] : (apart_point_and_line(all_38_4,
% 40.30/6.84 | | | | | | | | | | | | | all_38_2) = v1 &
% 40.30/6.84 | | | | | | | | | | | | | apart_point_and_line(all_38_4, all_38_3) = v2 &
% 40.30/6.84 | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_3) = v0 & ( ~
% 40.30/6.84 | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0))
% 40.30/6.84 | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | BETA: splitting (232) gives:
% 40.30/6.84 | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | Case 1:
% 40.30/6.84 | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | (304) all_63_0 = 0
% 40.30/6.84 | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | REDUCE: (224), (304) imply:
% 40.30/6.84 | | | | | | | | | | | | | | (305) $false
% 40.30/6.84 | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | CLOSE: (305) is inconsistent.
% 40.30/6.84 | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | Case 2:
% 40.30/6.84 | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | (306) all_59_0 = 0 | ? [v0: any] : ? [v1: any] :
% 40.30/6.84 | | | | | | | | | | | | | | (convergent_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.84 | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_3) = v0 & ( ~
% 40.30/6.84 | | | | | | | | | | | | | | (v0 = 0) | v1 = 0))
% 40.30/6.84 | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 40.30/6.84 | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | Case 1:
% 40.30/6.84 | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | (307) all_67_0 = 0
% 40.30/6.84 | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | REDUCE: (222), (307) imply:
% 40.30/6.84 | | | | | | | | | | | | | | | (308) $false
% 40.30/6.84 | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | CLOSE: (308) is inconsistent.
% 40.30/6.84 | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | Case 2:
% 40.30/6.84 | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | (309) all_63_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 40.30/6.84 | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 40.30/6.84 | | | | | | | | | | | | | | | (apart_point_and_line(all_38_5, all_38_2) = v2 &
% 40.30/6.84 | | | | | | | | | | | | | | | apart_point_and_line(all_38_6, all_38_3) = v3 &
% 40.30/6.84 | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.84 | | | | | | | | | | | | | | | distinct_points(all_38_5, all_38_6) = v0 & ( ~
% 40.30/6.84 | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.84 | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 40.30/6.84 | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | Case 1:
% 40.30/6.84 | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | (310) all_67_0 = 0
% 40.30/6.84 | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | REDUCE: (222), (310) imply:
% 40.30/6.84 | | | | | | | | | | | | | | | | (311) $false
% 40.30/6.84 | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | CLOSE: (311) is inconsistent.
% 40.30/6.84 | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | Case 2:
% 40.30/6.84 | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | (312) all_63_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 40.30/6.84 | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 40.30/6.84 | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_5, all_38_2) = v2 &
% 40.30/6.84 | | | | | | | | | | | | | | | | apart_point_and_line(all_38_6, all_38_3) = v3 &
% 40.30/6.84 | | | | | | | | | | | | | | | | distinct_lines(all_38_3, all_38_2) = v1 &
% 40.30/6.84 | | | | | | | | | | | | | | | | distinct_points(all_38_5, all_38_6) = v0 & ( ~
% 40.30/6.84 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.84 | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 40.30/6.84 | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.84 | | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | | (313) all_55_0 = 0
% 40.30/6.84 | | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | | REDUCE: (226), (313) imply:
% 40.30/6.84 | | | | | | | | | | | | | | | | | (314) $false
% 40.30/6.84 | | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | | CLOSE: (314) is inconsistent.
% 40.30/6.84 | | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.84 | | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | | (315) all_51_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 40.30/6.84 | | | | | | | | | | | | | | | | | [v2: any] : (apart_point_and_line(all_38_6,
% 40.30/6.84 | | | | | | | | | | | | | | | | | all_38_2) = v1 &
% 40.30/6.84 | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_6, all_38_3) = v2 &
% 40.30/6.84 | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_3) = v0 & ( ~
% 40.30/6.84 | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0))
% 40.30/6.84 | | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 40.30/6.84 | | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.84 | | | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | | | (316) all_63_0 = 0
% 40.30/6.84 | | | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | | | REDUCE: (224), (316) imply:
% 40.30/6.84 | | | | | | | | | | | | | | | | | | (317) $false
% 40.30/6.84 | | | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | | | CLOSE: (317) is inconsistent.
% 40.30/6.84 | | | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.84 | | | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | | | (318) all_55_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 40.30/6.84 | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 40.30/6.84 | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_1, all_38_2) = v3 &
% 40.30/6.84 | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_6, all_38_2) = v2 &
% 40.30/6.84 | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_2) = v1 &
% 40.30/6.84 | | | | | | | | | | | | | | | | | | distinct_points(all_38_6, all_38_1) = v0 & ( ~
% 40.30/6.84 | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.84 | | | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 40.30/6.84 | | | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.84 | | | | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | (319) all_55_0 = 0
% 40.30/6.84 | | | | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | REDUCE: (226), (319) imply:
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | (320) $false
% 40.30/6.84 | | | | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | CLOSE: (320) is inconsistent.
% 40.30/6.84 | | | | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.84 | | | | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | (321) all_51_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_1, all_38_2) = v2 &
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_1, all_38_3) = v3 &
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_1) = v0 & ( ~
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.84 | | | | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 40.30/6.84 | | | | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | | (322) all_67_0 = 0
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | | REDUCE: (222), (322) imply:
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | | (323) $false
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | | CLOSE: (323) is inconsistent.
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | | (324) all_55_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_1, all_38_3) = v3 &
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_5, all_38_2) = v2 &
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_5, all_38_1) = v0 & ( ~
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | | | (325) all_67_0 = 0
% 40.30/6.84 | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | REDUCE: (222), (325) imply:
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | (326) $false
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | CLOSE: (326) is inconsistent.
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | (327) all_55_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_1, all_38_3) = v2 &
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_5, all_38_2) = v3 &
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_5) = v0 & ( ~
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | (328) all_55_0 = 0
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (226), (328) imply:
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | (329) $false
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (329) is inconsistent.
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | (330) all_51_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_1, all_38_2) = v3 &
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_1, all_38_3) = v2 &
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_1) = v0 & ( ~
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (294) gives:
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | (331) all_59_0 = 0
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (225), (331) imply:
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | (332) $false
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (332) is inconsistent.
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | (333) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_6,
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = v2 &
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_6, all_38_3) = v3 &
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_3, all_38_2) = v1 &
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_6, all_38_6) = v0 & ( ~
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (333) with fresh symbols all_342_0,
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | all_342_1, all_342_2, all_342_3 gives:
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | (334) apart_point_and_line(all_38_6, all_38_2) =
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | all_342_1 & apart_point_and_line(all_38_6,
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_342_0 & distinct_lines(all_38_3,
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_342_2 &
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_6, all_38_6) = all_342_3 &
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_342_2 = 0) | ~ (all_342_3 = 0) |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | all_342_0 = 0 | all_342_1 = 0)
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (334) implies:
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | (335) apart_point_and_line(all_38_6, all_38_3) =
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | all_342_0
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | (336) apart_point_and_line(all_38_6, all_38_2) =
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | all_342_1
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (297) gives:
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | (337) all_63_0 = 0
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (224), (337) imply:
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | (338) $false
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (338) is inconsistent.
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | (339) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_5,
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = v3 &
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_6, all_38_3) = v2 &
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_6, all_38_5) = v0 & ( ~
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (339) with fresh symbols all_352_0,
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | all_352_1, all_352_2, all_352_3 gives:
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | (340) apart_point_and_line(all_38_5, all_38_2) =
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | all_352_0 & apart_point_and_line(all_38_6,
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_352_1 & distinct_lines(all_38_2,
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_352_2 &
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_6, all_38_5) = all_352_3 &
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_352_2 = 0) | ~ (all_352_3 = 0) |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | all_352_0 = 0 | all_352_1 = 0)
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (340) implies:
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | (341) distinct_lines(all_38_2, all_38_3) = all_352_2
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | (342) apart_point_and_line(all_38_6, all_38_3) =
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | all_352_1
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (300) gives:
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | | (343) all_59_0 = 0
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (225), (343) imply:
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | | (344) $false
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (344) is inconsistent.
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | | (345) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_6,
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = v3 &
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_6, all_38_3) = v2 &
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_6, all_38_6) = v0 & ( ~
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (345) with fresh symbols all_357_0,
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | | all_357_1, all_357_2, all_357_3 gives:
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | | (346) apart_point_and_line(all_38_6, all_38_2) =
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | | all_357_0 & apart_point_and_line(all_38_6,
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_357_1 & distinct_lines(all_38_2,
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_357_2 &
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_6, all_38_6) = all_357_3 &
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_357_2 = 0) | ~ (all_357_3 = 0) |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | | all_357_0 = 0 | all_357_1 = 0)
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (346) implies:
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | | (347) distinct_lines(all_38_2, all_38_3) = all_357_2
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | | (348) apart_point_and_line(all_38_6, all_38_3) =
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | | all_357_1
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | | (349) apart_point_and_line(all_38_6, all_38_2) =
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | | all_357_0
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (350) all_59_0 = 0
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (225), (350) imply:
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (351) $false
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (351) is inconsistent.
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (352) ? [v0: any] : ? [v1: any] :
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (convergent_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_3) = v0 & ( ~
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v1 = 0))
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (352) with fresh symbols all_367_0,
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | all_367_1 gives:
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (353) convergent_lines(all_38_2, all_38_3) = all_367_0 &
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_3) = all_367_1 & (
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_367_1 = 0) | all_367_0 = 0)
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (353) implies:
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (354) distinct_lines(all_38_2, all_38_3) = all_367_1
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (303) gives:
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (355) all_59_0 = 0
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (225), (355) imply:
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (356) $false
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (356) is inconsistent.
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (357) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_4, all_38_2) = v1 &
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_4, all_38_3) = v2 &
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_3) = v0 & ( ~
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0))
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (357) with fresh symbols all_372_0,
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_372_1, all_372_2 gives:
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (358) apart_point_and_line(all_38_4, all_38_2) =
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_372_1 & apart_point_and_line(all_38_4,
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_372_0 & distinct_lines(all_38_2,
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_372_2 & ( ~ (all_372_2 = 0) |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_372_0 = 0 | all_372_1 = 0)
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (358) implies:
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (359) distinct_lines(all_38_2, all_38_3) = all_372_2
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (360) all_63_0 = 0
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (224), (360) imply:
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (361) $false
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (361) is inconsistent.
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (362) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_5,
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = v2 &
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_6, all_38_3) = v3 &
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_5, all_38_6) = v0 & ( ~
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (362) with fresh symbols all_377_0,
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_377_1, all_377_2, all_377_3 gives:
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (363) apart_point_and_line(all_38_5, all_38_2) =
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_377_1 & apart_point_and_line(all_38_6,
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_377_0 & distinct_lines(all_38_2,
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_377_2 &
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_5, all_38_6) = all_377_3 &
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_377_2 = 0) | ~ (all_377_3 = 0) |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_377_0 = 0 | all_377_1 = 0)
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (363) implies:
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (364) distinct_lines(all_38_2, all_38_3) = all_377_2
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (365) apart_point_and_line(all_38_6, all_38_3) =
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_377_0
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives:
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (366) all_63_0 = 0
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (224), (366) imply:
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (367) $false
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (367) is inconsistent.
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (368) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_5,
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = v2 &
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_6, all_38_3) = v3 &
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_3, all_38_2) = v1 &
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_5, all_38_6) = v0 & ( ~
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (368) with fresh symbols all_382_0,
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_382_1, all_382_2, all_382_3 gives:
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (369) apart_point_and_line(all_38_5, all_38_2) =
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_382_1 & apart_point_and_line(all_38_6,
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_382_0 & distinct_lines(all_38_3,
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_382_2 &
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_5, all_38_6) = all_382_3 &
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_382_2 = 0) | ~ (all_382_3 = 0) |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_382_0 = 0 | all_382_1 = 0)
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (369) implies:
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (370) apart_point_and_line(all_38_6, all_38_3) =
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_382_0
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (318) gives:
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (371) all_55_0 = 0
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (226), (371) imply:
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (372) $false
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (372) is inconsistent.
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_1,
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = v3 &
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_6, all_38_2) = v2 &
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_2) = v1 &
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_6, all_38_1) = v0 & ( ~
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (373) with fresh symbols all_428_0,
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_428_1, all_428_2, all_428_3 gives:
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374) apart_point_and_line(all_38_1, all_38_2) =
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_428_0 & apart_point_and_line(all_38_6,
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_428_1 & distinct_lines(all_38_2,
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_428_2 &
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_6, all_38_1) = all_428_3 &
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_428_2 = 0) | ~ (all_428_3 = 0) |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_428_0 = 0 | all_428_1 = 0)
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (374) implies:
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (375) apart_point_and_line(all_38_6, all_38_2) =
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_428_1
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (321) gives:
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376) all_51_0 = 0
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (227), (376) imply:
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (377) $false
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (377) is inconsistent.
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (378) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_1,
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = v2 &
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_1, all_38_3) = v3 &
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_1) = v0 & ( ~
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (378) with fresh symbols all_438_0,
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_438_1, all_438_2, all_438_3 gives:
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (379) apart_point_and_line(all_38_1, all_38_2) =
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_438_1 & apart_point_and_line(all_38_1,
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_438_0 & distinct_lines(all_38_2,
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_438_2 &
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_1) = all_438_3 &
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_438_2 = 0) | ~ (all_438_3 = 0) |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_438_0 = 0 | all_438_1 = 0)
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (379) implies:
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (380) distinct_lines(all_38_2, all_38_3) = all_438_2
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (324) gives:
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (381) all_55_0 = 0
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (226), (381) imply:
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (382) $false
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (382) is inconsistent.
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (383) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_1,
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = v3 &
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_5, all_38_2) = v2 &
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_5, all_38_1) = v0 & ( ~
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (383) with fresh symbols all_443_0,
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_443_1, all_443_2, all_443_3 gives:
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (384) apart_point_and_line(all_38_1, all_38_3) =
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_443_0 & apart_point_and_line(all_38_5,
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_443_1 & distinct_lines(all_38_2,
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_443_2 &
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_5, all_38_1) = all_443_3 &
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_443_2 = 0) | ~ (all_443_3 = 0) |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_443_0 = 0 | all_443_1 = 0)
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (384) implies:
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (385) distinct_lines(all_38_2, all_38_3) = all_443_2
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (327) gives:
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386) all_55_0 = 0
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (226), (386) imply:
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387) $false
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (387) is inconsistent.
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (388) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_1,
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = v2 &
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_5, all_38_2) = v3 &
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_5) = v0 & ( ~
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (388) with fresh symbols all_453_0,
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_453_1, all_453_2, all_453_3 gives:
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (389) apart_point_and_line(all_38_1, all_38_3) =
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_453_1 & apart_point_and_line(all_38_5,
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_453_0 & distinct_lines(all_38_2,
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_453_2 &
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_5) = all_453_3 &
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_453_2 = 0) | ~ (all_453_3 = 0) |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_453_0 = 0 | all_453_1 = 0)
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (389) implies:
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (390) distinct_lines(all_38_2, all_38_3) = all_453_2
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (330) gives:
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (391) all_51_0 = 0
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (227), (391) imply:
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (392) $false
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (392) is inconsistent.
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (393) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_1,
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = v3 &
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_1, all_38_3) = v2 &
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_1) = v0 & ( ~
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (393) with fresh symbols all_458_0,
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_458_1, all_458_2, all_458_3 gives:
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (394) apart_point_and_line(all_38_1, all_38_2) =
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_458_0 & apart_point_and_line(all_38_1,
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_458_1 & distinct_lines(all_38_2,
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_458_2 &
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_1) = all_458_3 &
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_458_2 = 0) | ~ (all_458_3 = 0) |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_458_0 = 0 | all_458_1 = 0)
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (394) implies:
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (395) distinct_lines(all_38_2, all_38_3) = all_458_2
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (396) all_61_0 = 0
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (223), (396) imply:
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (397) $false
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (397) is inconsistent.
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (398) all_59_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_4, all_38_3) = v2 &
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_6, all_38_2) = v3 &
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_4, all_38_6) = v0 & ( ~
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (399) all_63_0 = 0
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (224), (399) imply:
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (400) $false
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (400) is inconsistent.
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (401) all_61_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_4, all_38_2) = v2 &
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_6, all_38_2) = v3 &
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_2) = v1 &
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_4, all_38_6) = v0 & ( ~
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (402) all_67_0 = 0
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (222), (402) imply:
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (403) $false
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (403) is inconsistent.
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (404) all_61_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_4, all_38_3) = v2 &
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_5, all_38_2) = v3 &
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_4, all_38_5) = v0 & ( ~
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (405) all_61_0 = 0
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (223), (405) imply:
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (406) $false
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (406) is inconsistent.
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (407) all_59_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_4, all_38_3) = v2 &
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_6, all_38_2) = v3 &
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_3, all_38_2) = v1 &
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_4, all_38_6) = v0 & ( ~
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (398) gives:
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (408) all_59_0 = 0
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (225), (408) imply:
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (409) $false
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (409) is inconsistent.
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (410) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_4,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = v2 &
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_6, all_38_2) = v3 &
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_4, all_38_6) = v0 & ( ~
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (410) with fresh symbols all_495_0,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_495_1, all_495_2, all_495_3 gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (411) apart_point_and_line(all_38_4, all_38_3) =
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_495_1 & apart_point_and_line(all_38_6,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_495_0 & distinct_lines(all_38_2,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_495_2 &
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_4, all_38_6) = all_495_3 &
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_495_2 = 0) | ~ (all_495_3 = 0) |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_495_0 = 0 | all_495_1 = 0)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (411) implies:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (412) distinct_lines(all_38_2, all_38_3) = all_495_2
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (413) apart_point_and_line(all_38_6, all_38_2) =
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_495_0
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (401) gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (414) all_61_0 = 0
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (223), (414) imply:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (415) $false
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (415) is inconsistent.
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (416) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_4,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = v2 &
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_6, all_38_2) = v3 &
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_2) = v1 &
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_4, all_38_6) = v0 & ( ~
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (416) with fresh symbols all_500_0,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_500_1, all_500_2, all_500_3 gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (417) apart_point_and_line(all_38_4, all_38_2) =
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_500_1 & apart_point_and_line(all_38_6,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_500_0 & distinct_lines(all_38_2,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_500_2 &
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_4, all_38_6) = all_500_3 &
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_500_2 = 0) | ~ (all_500_3 = 0) |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_500_0 = 0 | all_500_1 = 0)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (417) implies:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (418) apart_point_and_line(all_38_6, all_38_2) =
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_500_0
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (404) gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (419) all_61_0 = 0
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (223), (419) imply:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (420) $false
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (420) is inconsistent.
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (421) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_4,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = v2 &
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_5, all_38_2) = v3 &
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_4, all_38_5) = v0 & ( ~
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (421) with fresh symbols all_505_0,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_505_1, all_505_2, all_505_3 gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (422) apart_point_and_line(all_38_4, all_38_3) =
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_505_1 & apart_point_and_line(all_38_5,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_505_0 & distinct_lines(all_38_2,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_505_2 &
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_4, all_38_5) = all_505_3 &
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_505_2 = 0) | ~ (all_505_3 = 0) |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_505_0 = 0 | all_505_1 = 0)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (422) implies:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (423) distinct_lines(all_38_2, all_38_3) = all_505_2
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (407) gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (424) all_59_0 = 0
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (225), (424) imply:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (425) $false
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (425) is inconsistent.
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (426) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_4,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = v2 &
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_6, all_38_2) = v3 &
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_3, all_38_2) = v1 &
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_4, all_38_6) = v0 & ( ~
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (426) with fresh symbols all_515_0,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_515_1, all_515_2, all_515_3 gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (427) apart_point_and_line(all_38_4, all_38_3) =
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_515_1 & apart_point_and_line(all_38_6,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_515_0 & distinct_lines(all_38_3,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_515_2 &
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_4, all_38_6) = all_515_3 &
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_515_2 = 0) | ~ (all_515_3 = 0) |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_515_0 = 0 | all_515_1 = 0)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (427) implies:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (428) apart_point_and_line(all_38_6, all_38_2) =
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_515_0
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_357_2, all_367_1,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_2, simplifying with (347), (354)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (429) all_367_1 = all_357_2
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_438_2, all_443_2,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_2, simplifying with (380), (385)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (430) all_443_2 = all_438_2
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_377_2, all_443_2,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_2, simplifying with (364), (385)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (431) all_443_2 = all_377_2
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_377_2, all_453_2,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_2, simplifying with (364), (390)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (432) all_453_2 = all_377_2
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_372_2, all_453_2,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_2, simplifying with (359), (390)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (433) all_453_2 = all_372_2
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_367_1, all_453_2,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_2, simplifying with (354), (390)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (434) all_453_2 = all_367_1
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_352_2, all_495_2,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_2, simplifying with (341), (412)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (435) all_495_2 = all_352_2
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_495_2, all_505_2,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_2, simplifying with (412), (423)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (436) all_505_2 = all_495_2
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_458_2, all_505_2,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_2, simplifying with (395), (423)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (437) all_505_2 = all_458_2
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_443_2, all_505_2,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_2, simplifying with (385), (423)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (438) all_505_2 = all_443_2
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_77_3, all_160_2,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_3, simplifying with (124), (266)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (439) all_160_2 = all_77_3
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_156_2, all_160_2,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_3, simplifying with (264), (266)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (440) all_160_2 = all_156_2
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_148_3, all_160_2,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_3, simplifying with (260), (266)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (441) all_160_2 = all_148_3
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_160_2, all_170_3,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_3, simplifying with (266), (268)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (442) all_170_3 = all_160_2
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_170_3, all_174_2,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_3, simplifying with (268), (270)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (443) all_174_2 = all_170_3
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_150_3, all_174_2,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_3, simplifying with (262), (270)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (444) all_174_2 = all_150_3
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_59_0, all_202_0,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_6, simplifying with (92), (276)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (445) all_202_0 = all_59_0
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_202_0, all_342_0,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_6, simplifying with (276), (335)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (446) all_342_0 = all_202_0
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_342_0, all_352_1,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_6, simplifying with (335), (342)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (447) all_352_1 = all_342_0
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_352_1, all_357_1,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_6, simplifying with (342), (348)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (448) all_357_1 = all_352_1
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_357_1, all_377_0,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_6, simplifying with (348), (365)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (449) all_377_0 = all_357_1
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_377_0, all_382_0,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_6, simplifying with (365), (370)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (450) all_382_0 = all_377_0
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_202_1, all_382_0,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_6, simplifying with (275), (370)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (451) all_382_0 = all_202_1
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_212_1, all_212_0,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_6, simplifying with (281), (282)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (452) all_212_0 = all_212_1
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_227_0, all_342_1,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_6, simplifying with (288), (336)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (453) all_342_1 = all_227_0
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_212_0, all_342_1,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_6, simplifying with (282), (336)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (454) all_342_1 = all_212_0
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_342_1, all_357_0,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_6, simplifying with (336), (349)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (455) all_357_0 = all_342_1
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_227_1, all_357_0,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_6, simplifying with (287), (349)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (456) all_357_0 = all_227_1
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_227_0, all_428_1,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_6, simplifying with (288), (375)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (457) all_428_1 = all_227_0
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_428_1, all_495_0,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_6, simplifying with (375), (413)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (458) all_495_0 = all_428_1
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_495_0, all_500_0,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_6, simplifying with (413), (418)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (459) all_500_0 = all_495_0
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_63_0, all_515_0,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_6, simplifying with (212), (428)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (460) all_515_0 = all_63_0
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_500_0, all_515_0,
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_6, simplifying with (418), (428)
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (461) all_515_0 = all_500_0
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (461) imply:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (462) all_500_0 = all_63_0
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (462) implies:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (463) all_500_0 = all_63_0
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (437), (438) imply:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (464) all_458_2 = all_443_2
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (436), (437) imply:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (465) all_495_2 = all_458_2
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (465) implies:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (466) all_495_2 = all_458_2
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (459), (463) imply:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (467) all_495_0 = all_63_0
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (467) implies:
% 40.30/6.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (468) all_495_0 = all_63_0
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (468) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (469) all_428_1 = all_63_0
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (469) implies:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (470) all_428_1 = all_63_0
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (466) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (471) all_458_2 = all_352_2
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (471) implies:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (472) all_458_2 = all_352_2
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (464), (472) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (473) all_443_2 = all_352_2
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (473) implies:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (474) all_443_2 = all_352_2
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (432), (433) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (475) all_377_2 = all_372_2
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (475) implies:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (476) all_377_2 = all_372_2
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (433), (434) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (477) all_372_2 = all_367_1
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (431) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (478) all_438_2 = all_377_2
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (474) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (479) all_438_2 = all_352_2
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (479) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (480) all_377_2 = all_352_2
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (480) implies:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (481) all_377_2 = all_352_2
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (457), (470) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (482) all_227_0 = all_63_0
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (482) implies:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (483) all_227_0 = all_63_0
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (451) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (484) all_377_0 = all_202_1
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (484) implies:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (485) all_377_0 = all_202_1
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (449), (485) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (486) all_357_1 = all_202_1
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (486) implies:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (487) all_357_1 = all_202_1
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (476), (481) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (488) all_372_2 = all_352_2
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (488) implies:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (489) all_372_2 = all_352_2
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (489) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (490) all_367_1 = all_352_2
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (490) implies:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (491) all_367_1 = all_352_2
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (491) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (492) all_357_2 = all_352_2
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (492) implies:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (493) all_357_2 = all_352_2
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (456) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (494) all_342_1 = all_227_1
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (494) implies:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (495) all_342_1 = all_227_1
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (487) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (496) all_352_1 = all_202_1
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (496) implies:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (497) all_352_1 = all_202_1
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (497) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (498) all_342_0 = all_202_1
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (498) implies:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (499) all_342_0 = all_202_1
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (499) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (500) all_202_0 = all_202_1
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (500) implies:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (501) all_202_0 = all_202_1
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (495) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (502) all_227_0 = all_227_1
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (502) implies:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (503) all_227_0 = all_227_1
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (495) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (504) all_227_1 = all_212_0
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (503) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (505) all_227_1 = all_63_0
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (505) implies:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (506) all_227_1 = all_63_0
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (506) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (507) all_212_0 = all_63_0
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (507) implies:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (508) all_212_0 = all_63_0
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (508) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (509) all_212_1 = all_63_0
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (509) implies:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (510) all_212_1 = all_63_0
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (445), (501) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (511) all_202_1 = all_59_0
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (443), (444) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (512) all_170_3 = all_150_3
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (512) implies:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (513) all_170_3 = all_150_3
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (442), (513) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (514) all_160_2 = all_150_3
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (514) implies:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (515) all_160_2 = all_150_3
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (440) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (516) all_156_2 = all_77_3
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (440), (515) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (517) all_156_2 = all_150_3
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (440), (441) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (518) all_156_2 = all_148_3
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (517), (518) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (519) all_150_3 = all_148_3
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (517) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (520) all_150_3 = all_77_3
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (519), (520) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (521) all_148_3 = all_77_3
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (522) all_63_0 = 0
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (224), (522) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (523) $false
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (523) is inconsistent.
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (279) with fresh symbols all_529_0,
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_529_1, all_529_2 gives:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (524) apart_point_and_line(all_38_6, all_38_2) =
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_529_0 & apart_point_and_line(all_38_6,
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_529_1 & distinct_lines(all_38_2,
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_529_2 & ( ~ (all_529_2 = 0) |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_529_0 = 0 | all_529_1 = 0)
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (524) implies:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (525) apart_point_and_line(all_38_6, all_38_2) =
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_529_1
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (526) apart_point_and_line(all_38_6, all_38_2) =
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_529_0
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (315) gives:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (527) all_51_0 = 0
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (227), (527) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (528) $false
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (528) is inconsistent.
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (529) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_6, all_38_2) = v1 &
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_6, all_38_3) = v2 &
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_3) = v0 & ( ~
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0))
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (529) with fresh symbols all_547_0,
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_547_1, all_547_2 gives:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (530) apart_point_and_line(all_38_6, all_38_2) =
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_547_1 & apart_point_and_line(all_38_6,
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_547_0 & distinct_lines(all_38_2,
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_547_2 & ( ~ (all_547_2 = 0) |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_547_0 = 0 | all_547_1 = 0)
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (530) implies:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (531) distinct_lines(all_38_2, all_38_3) = all_547_2
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (532) apart_point_and_line(all_38_6, all_38_3) =
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_547_0
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (533) apart_point_and_line(all_38_6, all_38_2) =
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_547_1
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (534) ~ (all_547_2 = 0) | all_547_0 = 0 | all_547_1 = 0
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (535) all_59_0 = 0
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (225), (535) imply:
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (536) $false
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (536) is inconsistent.
% 40.30/6.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (537) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_1, all_38_2) = v1 &
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_1, all_38_3) = v2 &
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_3) = v0 & ( ~
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0))
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (537) with fresh symbols all_563_0,
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_563_1, all_563_2 gives:
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (538) apart_point_and_line(all_38_1, all_38_2) =
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_563_1 & apart_point_and_line(all_38_1,
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_563_0 & distinct_lines(all_38_2,
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_563_2 & ( ~ (all_563_2 = 0) |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_563_0 = 0 | all_563_1 = 0)
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (538) implies:
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (539) distinct_lines(all_38_2, all_38_3) = all_563_2
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (540) all_59_0 = 0
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (225), (540) imply:
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (541) $false
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (541) is inconsistent.
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (542) all_55_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_1, all_38_3) = v2 &
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_6, all_38_2) = v3 &
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_6) = v0 & ( ~
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (543) all_63_0 = 0
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (224), (543) imply:
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (544) $false
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (544) is inconsistent.
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (545) all_51_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_1, all_38_2) = v2 &
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_6, all_38_3) = v3 &
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_6) = v0 & ( ~
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_352_2, all_563_2,
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_2, simplifying with (341), (539)
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (546) all_563_2 = all_352_2
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_547_2, all_563_2,
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_2, simplifying with (531), (539)
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (547) all_563_2 = all_547_2
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_59_0, all_547_0,
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_6, simplifying with (92), (532)
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (548) all_547_0 = all_59_0
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_63_0, all_529_0,
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_6, simplifying with (212), (526)
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (549) all_529_0 = all_63_0
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_529_0, all_547_1,
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_6, simplifying with (526), (533)
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (550) all_547_1 = all_529_0
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_529_1, all_547_1,
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_6, simplifying with (525), (533)
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (551) all_547_1 = all_529_1
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (547) imply:
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (552) all_547_2 = all_352_2
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (550), (551) imply:
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (553) all_529_0 = all_529_1
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (553) implies:
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (554) all_529_0 = all_529_1
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (549), (554) imply:
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (555) all_529_1 = all_63_0
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (555) imply:
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (556) all_547_1 = all_63_0
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (545) gives:
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (557) all_51_0 = 0
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (227), (557) imply:
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (558) $false
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (558) is inconsistent.
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (559) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_1,
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = v2 &
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_6, all_38_3) = v3 &
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_6) = v0 & ( ~
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (559) with fresh symbols all_585_0,
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_585_1, all_585_2, all_585_3 gives:
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (560) apart_point_and_line(all_38_1, all_38_2) =
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_585_1 & apart_point_and_line(all_38_6,
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_585_0 & distinct_lines(all_38_2,
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_585_2 &
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_6) = all_585_3 &
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_585_2 = 0) | ~ (all_585_3 = 0) |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_585_0 = 0 | all_585_1 = 0)
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (560) implies:
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (561) distinct_lines(all_38_2, all_38_3) = all_585_2
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (542) gives:
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562) all_55_0 = 0
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (226), (562) imply:
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (563) $false
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (563) is inconsistent.
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (564) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_1,
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = v2 &
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_6, all_38_2) = v3 &
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_3) = v1 &
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_6) = v0 & ( ~
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (564) with fresh symbols all_591_0,
% 40.30/6.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_591_1, all_591_2, all_591_3 gives:
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (565) apart_point_and_line(all_38_1, all_38_3) =
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_591_1 & apart_point_and_line(all_38_6,
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_591_0 & distinct_lines(all_38_2,
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_591_2 &
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_6) = all_591_3 &
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_591_2 = 0) | ~ (all_591_3 = 0) |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_591_0 = 0 | all_591_1 = 0)
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (565) implies:
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (566) distinct_lines(all_38_2, all_38_3) = all_591_2
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (534) gives:
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (567) ~ (all_547_2 = 0)
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (567) imply:
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (568) ~ (all_352_2 = 0)
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (569) distinct_lines(all_38_2, all_38_3) = 0
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with 0, all_585_2, all_38_3,
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, simplifying with (561), (569) gives:
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (570) all_585_2 = 0
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_352_2, all_591_2,
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_2, simplifying with (341), (566)
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (571) all_591_2 = all_352_2
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_585_2, all_591_2,
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_2, simplifying with (561), (566)
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (572) all_591_2 = all_585_2
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (571), (572) imply:
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (573) all_585_2 = all_352_2
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (573) implies:
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (574) all_585_2 = all_352_2
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (574) imply:
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (575) all_352_2 = 0
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (575) implies:
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (576) all_352_2 = 0
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (576) imply:
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (577) $false
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (577) is inconsistent.
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (578) all_77_3 = 0
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (124), (578) imply:
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (579) convergent_lines(all_38_3, all_38_3) = 0
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (apart3) with all_38_3, simplifying
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | with (42), (579) gives:
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (580) $false
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (580) is inconsistent.
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (581) all_547_0 = 0 | all_547_1 = 0
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (581) gives:
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (582) all_547_0 = 0
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (548), (582) imply:
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (583) all_59_0 = 0
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (225), (583) imply:
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (584) $false
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (584) is inconsistent.
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (585) all_547_1 = 0
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (556), (585) imply:
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (586) all_63_0 = 0
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (224), (586) imply:
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (587) $false
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (587) is inconsistent.
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.93 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.93 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.93 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.93 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.93 | | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.93 | | | | | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.93 | | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.93 | | | | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.93 | | | | | | | | | | | | | | | | | | | | |
% 40.30/6.93 | | | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.93 | | | | | | | | | | | | | | | | | | | |
% 40.30/6.93 | | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.93 | | | | | | | | | | | | | | | | | | |
% 40.30/6.93 | | | | | | | | | | | | | | | | | | End of split
% 40.30/6.93 | | | | | | | | | | | | | | | | | |
% 40.30/6.93 | | | | | | | | | | | | | | | | | End of split
% 40.30/6.93 | | | | | | | | | | | | | | | | |
% 40.30/6.93 | | | | | | | | | | | | | | | | End of split
% 40.30/6.93 | | | | | | | | | | | | | | | |
% 40.30/6.93 | | | | | | | | | | | | | | | End of split
% 40.30/6.93 | | | | | | | | | | | | | | |
% 40.30/6.93 | | | | | | | | | | | | | | End of split
% 40.30/6.93 | | | | | | | | | | | | | |
% 40.30/6.93 | | | | | | | | | | | | | End of split
% 40.30/6.93 | | | | | | | | | | | | |
% 40.30/6.93 | | | | | | | | | | | | End of split
% 40.30/6.93 | | | | | | | | | | | |
% 40.30/6.93 | | | | | | | | | | | End of split
% 40.30/6.93 | | | | | | | | | | |
% 40.30/6.93 | | | | | | | | | | End of split
% 40.30/6.93 | | | | | | | | | |
% 40.30/6.93 | | | | | | | | | End of split
% 40.30/6.93 | | | | | | | | |
% 40.30/6.93 | | | | | | | | End of split
% 40.30/6.93 | | | | | | | |
% 40.30/6.93 | | | | | | | End of split
% 40.30/6.93 | | | | | | |
% 40.30/6.93 | | | | | | End of split
% 40.30/6.93 | | | | | |
% 40.30/6.93 | | | | | End of split
% 40.30/6.93 | | | | |
% 40.30/6.93 | | | | Case 2:
% 40.30/6.93 | | | | |
% 40.30/6.93 | | | | | (588) ~ (all_71_1 = 0)
% 40.30/6.93 | | | | |
% 40.30/6.93 | | | | | REDUCE: (152), (588) imply:
% 40.30/6.93 | | | | | (589) $false
% 40.30/6.93 | | | | |
% 40.30/6.93 | | | | | CLOSE: (589) is inconsistent.
% 40.30/6.93 | | | | |
% 40.30/6.93 | | | | End of split
% 40.30/6.93 | | | |
% 40.30/6.93 | | | Case 2:
% 40.30/6.93 | | | |
% 40.30/6.93 | | | | (590) ~ (all_69_1 = 0)
% 40.30/6.93 | | | |
% 40.30/6.93 | | | | REDUCE: (201), (590) imply:
% 40.30/6.93 | | | | (591) $false
% 40.30/6.93 | | | |
% 40.30/6.93 | | | | CLOSE: (591) is inconsistent.
% 40.30/6.93 | | | |
% 40.30/6.93 | | | End of split
% 40.30/6.93 | | |
% 40.30/6.93 | | Case 2:
% 40.30/6.93 | | |
% 40.30/6.93 | | | (592) ~ (all_57_1 = 0)
% 40.30/6.93 | | |
% 40.30/6.93 | | | REDUCE: (180), (592) imply:
% 40.30/6.93 | | | (593) $false
% 40.30/6.93 | | |
% 40.30/6.93 | | | CLOSE: (593) is inconsistent.
% 40.30/6.93 | | |
% 40.30/6.93 | | End of split
% 40.30/6.93 | |
% 40.30/6.93 | Case 2:
% 40.30/6.93 | |
% 40.30/6.93 | | (594) all_38_0 = 0
% 40.30/6.93 | |
% 40.30/6.93 | | REDUCE: (38), (594) imply:
% 40.30/6.93 | | (595) $false
% 40.30/6.93 | |
% 40.30/6.93 | | CLOSE: (595) is inconsistent.
% 40.30/6.93 | |
% 40.30/6.93 | End of split
% 40.30/6.93 |
% 40.30/6.93 End of proof
% 40.30/6.93 % SZS output end Proof for theBenchmark
% 40.30/6.93
% 40.30/6.93 6330ms
%------------------------------------------------------------------------------