TSTP Solution File: GEO172+3 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : GEO172+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 : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 23:21:49 EDT 2023
% Result : Theorem 14.25s 4.34s
% Output : Proof 26.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.17 % Problem : GEO172+3 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.17 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.37 % Computer : n001.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8042.1875MB
% 0.12/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Tue Aug 29 21:20:38 EDT 2023
% 0.12/0.37 % CPUTime :
% 0.16/0.64 ________ _____
% 0.16/0.64 ___ __ \_________(_)________________________________
% 0.16/0.64 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.16/0.64 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.16/0.64 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.16/0.64
% 0.16/0.64 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.16/0.64 (2023-06-19)
% 0.16/0.64
% 0.16/0.64 (c) Philipp Rümmer, 2009-2023
% 0.16/0.64 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.16/0.64 Amanda Stjerna.
% 0.16/0.64 Free software under BSD-3-Clause.
% 0.16/0.64
% 0.16/0.64 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.16/0.64
% 0.16/0.64 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.16/0.65 Running up to 7 provers in parallel.
% 0.16/0.74 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.16/0.74 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.16/0.74 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.16/0.74 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.16/0.74 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.16/0.74 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.16/0.74 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.20/1.43 Prover 4: Preprocessing ...
% 2.20/1.44 Prover 1: Preprocessing ...
% 2.99/1.53 Prover 3: Preprocessing ...
% 2.99/1.53 Prover 2: Preprocessing ...
% 2.99/1.53 Prover 5: Preprocessing ...
% 2.99/1.53 Prover 0: Preprocessing ...
% 2.99/1.54 Prover 6: Preprocessing ...
% 5.91/2.32 Prover 5: Proving ...
% 5.91/2.34 Prover 2: Proving ...
% 6.21/2.47 Prover 3: Constructing countermodel ...
% 6.54/2.48 Prover 1: Constructing countermodel ...
% 6.66/2.52 Prover 6: Constructing countermodel ...
% 7.39/2.75 Prover 3: gave up
% 7.39/2.75 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 7.74/2.78 Prover 6: gave up
% 7.74/2.86 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 7.74/2.87 Prover 7: Preprocessing ...
% 7.74/2.97 Prover 8: Preprocessing ...
% 7.74/2.97 Prover 1: gave up
% 7.74/2.99 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 7.74/3.00 Prover 7: Warning: ignoring some quantifiers
% 8.73/3.04 Prover 7: Constructing countermodel ...
% 8.73/3.08 Prover 9: Preprocessing ...
% 9.26/3.17 Prover 4: Constructing countermodel ...
% 9.26/3.17 Prover 0: Proving ...
% 9.26/3.23 Prover 8: Warning: ignoring some quantifiers
% 9.26/3.24 Prover 8: Constructing countermodel ...
% 10.57/3.68 Prover 8: gave up
% 10.57/3.70 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 10.57/3.72 Prover 9: Constructing countermodel ...
% 10.57/3.80 Prover 10: Preprocessing ...
% 12.50/3.94 Prover 10: Warning: ignoring some quantifiers
% 12.50/3.96 Prover 10: Constructing countermodel ...
% 12.50/3.98 Prover 7: gave up
% 12.50/3.98 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 12.50/4.01 Prover 11: Preprocessing ...
% 13.82/4.26 Prover 10: gave up
% 13.82/4.28 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391
% 13.82/4.32 Prover 12: Preprocessing ...
% 14.25/4.34 Prover 0: proved (3673ms)
% 14.25/4.34
% 14.25/4.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.25/4.34
% 14.25/4.34 Prover 2: stopped
% 14.25/4.34 Prover 9: stopped
% 14.25/4.36 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 14.25/4.36 Prover 5: stopped
% 14.25/4.37 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 14.25/4.39 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 14.25/4.41 Prover 16: Preprocessing ...
% 14.25/4.43 Prover 13: Preprocessing ...
% 14.25/4.43 Prover 19: Preprocessing ...
% 14.25/4.47 Prover 12: stopped
% 14.25/4.50 Prover 16: Warning: ignoring some quantifiers
% 14.25/4.51 Prover 13: Warning: ignoring some quantifiers
% 14.25/4.51 Prover 16: Constructing countermodel ...
% 14.25/4.52 Prover 19: Warning: ignoring some quantifiers
% 14.25/4.53 Prover 13: Constructing countermodel ...
% 14.25/4.53 Prover 19: Constructing countermodel ...
% 14.25/4.61 Prover 11: Constructing countermodel ...
% 16.24/4.85 Prover 19: gave up
% 16.85/4.99 Prover 13: gave up
% 19.02/5.55 Prover 16: gave up
% 23.54/6.99 Prover 4: Found proof (size 528)
% 23.54/6.99 Prover 4: proved (6275ms)
% 23.99/7.00 Prover 11: stopped
% 23.99/7.00
% 23.99/7.00 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.99/7.00
% 24.45/7.09 % SZS output start Proof for theBenchmark
% 24.45/7.11 Assumptions after simplification:
% 24.45/7.11 ---------------------------------
% 24.54/7.12
% 24.54/7.12 (a4)
% 24.61/7.20 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 24.61/7.20 (incident_point_and_line(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) |
% 24.61/7.20 apart_point_and_line(v0, v1) = 0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int]
% 24.61/7.20 : (v2 = 0 | ~ (apart_point_and_line(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) |
% 24.61/7.20 incident_point_and_line(v0, v1) = 0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 24.61/7.20 (incident_point_and_line(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: int]
% 24.61/7.20 : ( ~ (v2 = 0) & apart_point_and_line(v0, v1) = v2)) & ! [v0: $i] : ! [v1:
% 24.61/7.20 $i] : ( ~ (apart_point_and_line(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ?
% 24.61/7.20 [v2: int] : ( ~ (v2 = 0) & incident_point_and_line(v0, v1) = v2))
% 24.61/7.20
% 24.61/7.20 (apart3)
% 24.61/7.20 ! [v0: $i] : ( ~ (convergent_lines(v0, v0) = 0) | ~ $i(v0))
% 24.61/7.20
% 24.61/7.20 (ax1)
% 24.86/7.22 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (equal_points(v0, v1)
% 24.86/7.22 = v2) | ~ $i(v1) | ~ $i(v0) | distinct_points(v0, v1) = 0) & ! [v0: $i]
% 24.86/7.22 : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (distinct_points(v0, v1) = v2) |
% 24.86/7.22 ~ $i(v1) | ~ $i(v0) | equal_points(v0, v1) = 0) & ! [v0: $i] : ! [v1: $i]
% 24.86/7.22 : ( ~ (equal_points(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: int] : ( ~
% 24.86/7.22 (v2 = 0) & distinct_points(v0, v1) = v2)) & ! [v0: $i] : ! [v1: $i] : (
% 24.86/7.22 ~ (distinct_points(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: int] : ( ~
% 24.86/7.22 (v2 = 0) & equal_points(v0, v1) = v2))
% 24.86/7.22
% 24.86/7.22 (ceq3)
% 24.86/7.23 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 =
% 24.86/7.23 0 | v3 = 0 | ~ (convergent_lines(v0, v2) = v4) | ~ (distinct_lines(v1, v2)
% 24.86/7.23 = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 = 0) &
% 24.86/7.23 convergent_lines(v0, v1) = v5)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 24.86/7.23 : ! [v3: int] : (v3 = 0 | ~ (convergent_lines(v0, v2) = v3) | ~
% 24.86/7.23 (convergent_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 24.86/7.23 distinct_lines(v1, v2) = 0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 24.86/7.23 [v3: int] : (v3 = 0 | ~ (convergent_lines(v0, v1) = 0) | ~
% 24.86/7.23 (distinct_lines(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 24.86/7.23 convergent_lines(v0, v2) = 0)
% 24.86/7.23
% 24.86/7.23 (ci3)
% 24.86/7.23 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0, v1) =
% 24.86/7.23 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 24.86/7.23 (apart_point_and_line(v2, v0) = v4 & convergent_lines(v0, v1) = v3 & ( ~ (v4
% 24.86/7.23 = 0) | ~ (v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 24.86/7.23 (convergent_lines(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : ?
% 24.86/7.23 [v3: int] : ( ~ (v3 = 0) & intersection_point(v0, v1) = v2 &
% 24.86/7.23 apart_point_and_line(v2, v0) = v3 & $i(v2)))
% 24.86/7.23
% 24.86/7.23 (ci4)
% 24.86/7.23 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0, v1) =
% 24.86/7.23 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 24.86/7.24 (apart_point_and_line(v2, v1) = v4 & convergent_lines(v0, v1) = v3 & ( ~ (v4
% 24.86/7.24 = 0) | ~ (v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 24.86/7.24 (convergent_lines(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : ?
% 24.86/7.24 [v3: int] : ( ~ (v3 = 0) & intersection_point(v0, v1) = v2 &
% 24.86/7.24 apart_point_and_line(v2, v1) = v3 & $i(v2)))
% 24.86/7.24
% 24.86/7.24 (con)
% 24.86/7.24 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: int] : ( ~ (v4
% 24.86/7.24 = 0) & incident_point_and_line(v2, v1) = 0 & incident_point_and_line(v2,
% 24.86/7.24 v0) = 0 & equal_points(v2, v3) = v4 & intersection_point(v0, v1) = v3 &
% 24.86/7.24 convergent_lines(v0, v1) = 0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 24.86/7.24
% 24.86/7.24 (cotno1)
% 25.04/7.29 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] : ( ~
% 25.04/7.29 (unorthogonal_lines(v0, v2) = v4) | ~ (unorthogonal_lines(v0, v1) = v3) |
% 25.04/7.29 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7:
% 25.04/7.29 any] : ? [v8: any] : (unorthogonal_lines(v1, v2) = v8 &
% 25.04/7.29 convergent_lines(v1, v2) = v7 & convergent_lines(v0, v2) = v6 &
% 25.04/7.29 convergent_lines(v0, v1) = v5 & ( ~ (v8 = 0) | ~ (v7 = 0) | (v6 = 0 & v4
% 25.04/7.29 = 0) | (v5 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 25.04/7.29 : ! [v3: any] : ! [v4: any] : ( ~ (unorthogonal_lines(v0, v2) = v4) | ~
% 25.04/7.29 (convergent_lines(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 25.04/7.29 [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 25.04/7.29 (unorthogonal_lines(v1, v2) = v8 & unorthogonal_lines(v0, v1) = v5 &
% 25.04/7.29 convergent_lines(v1, v2) = v7 & convergent_lines(v0, v2) = v6 & ( ~ (v8 =
% 25.04/7.29 0) | ~ (v7 = 0) | (v6 = 0 & v4 = 0) | (v5 = 0 & v3 = 0)))) & ! [v0:
% 25.04/7.29 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] : ( ~
% 25.04/7.29 (unorthogonal_lines(v0, v1) = v3) | ~ (convergent_lines(v0, v2) = v4) | ~
% 25.04/7.29 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any]
% 25.04/7.29 : ? [v8: any] : (unorthogonal_lines(v1, v2) = v8 & unorthogonal_lines(v0,
% 25.04/7.29 v2) = v6 & convergent_lines(v1, v2) = v7 & convergent_lines(v0, v1) = v5
% 25.04/7.29 & ( ~ (v8 = 0) | ~ (v7 = 0) | (v6 = 0 & v4 = 0) | (v5 = 0 & v3 = 0)))) &
% 25.04/7.29 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] : ( ~
% 25.04/7.29 (convergent_lines(v0, v2) = v4) | ~ (convergent_lines(v0, v1) = v3) | ~
% 25.04/7.29 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any]
% 25.04/7.29 : ? [v8: any] : (unorthogonal_lines(v1, v2) = v8 & unorthogonal_lines(v0,
% 25.04/7.29 v2) = v6 & unorthogonal_lines(v0, v1) = v5 & convergent_lines(v1, v2) =
% 25.04/7.29 v7 & ( ~ (v8 = 0) | ~ (v7 = 0) | (v6 = 0 & v4 = 0) | (v5 = 0 & v3 = 0))))
% 25.04/7.29 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~
% 25.04/7.29 (unorthogonal_lines(v1, v2) = 0) | ~ (unorthogonal_lines(v0, v2) = v3) | ~
% 25.04/7.29 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: any]
% 25.04/7.29 : ? [v7: any] : (unorthogonal_lines(v0, v1) = v5 & convergent_lines(v1, v2)
% 25.04/7.29 = v7 & convergent_lines(v0, v2) = v6 & convergent_lines(v0, v1) = v4 & ( ~
% 25.04/7.29 (v7 = 0) | (v6 = 0 & v3 = 0) | (v5 = 0 & v4 = 0)))) & ! [v0: $i] : !
% 25.04/7.29 [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v1, v2) = 0) |
% 25.04/7.29 ~ (unorthogonal_lines(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 25.04/7.29 ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 25.04/7.29 (unorthogonal_lines(v0, v2) = v6 & convergent_lines(v1, v2) = v7 &
% 25.04/7.29 convergent_lines(v0, v2) = v5 & convergent_lines(v0, v1) = v4 & ( ~ (v7 =
% 25.04/7.29 0) | (v6 = 0 & v5 = 0) | (v4 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1:
% 25.04/7.29 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v1, v2) = 0) | ~
% 25.04/7.29 (convergent_lines(v0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 25.04/7.29 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 25.04/7.29 (unorthogonal_lines(v0, v2) = v6 & unorthogonal_lines(v0, v1) = v5 &
% 25.04/7.29 convergent_lines(v1, v2) = v7 & convergent_lines(v0, v1) = v4 & ( ~ (v7 =
% 25.04/7.29 0) | (v6 = 0 & v3 = 0) | (v5 = 0 & v4 = 0)))) & ! [v0: $i] : ! [v1:
% 25.04/7.29 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v1, v2) = 0) | ~
% 25.04/7.29 (convergent_lines(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 25.04/7.29 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 25.04/7.29 (unorthogonal_lines(v0, v2) = v6 & unorthogonal_lines(v0, v1) = v4 &
% 25.04/7.29 convergent_lines(v1, v2) = v7 & convergent_lines(v0, v2) = v5 & ( ~ (v7 =
% 25.04/7.29 0) | (v6 = 0 & v5 = 0) | (v4 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1:
% 25.04/7.29 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v0, v2) = v3) |
% 25.04/7.29 ~ (convergent_lines(v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 25.04/7.29 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 25.04/7.29 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v1) = v5 &
% 25.04/7.29 convergent_lines(v0, v2) = v6 & convergent_lines(v0, v1) = v4 & ( ~ (v7 =
% 25.04/7.29 0) | (v6 = 0 & v3 = 0) | (v5 = 0 & v4 = 0)))) & ! [v0: $i] : ! [v1:
% 25.04/7.29 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v0, v1) = v3) |
% 25.04/7.29 ~ (convergent_lines(v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 25.04/7.29 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 25.04/7.29 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v2) = v6 &
% 25.04/7.29 convergent_lines(v0, v2) = v5 & convergent_lines(v0, v1) = v4 & ( ~ (v7 =
% 25.04/7.29 0) | (v6 = 0 & v5 = 0) | (v4 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1:
% 25.04/7.29 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (convergent_lines(v1, v2) = 0) | ~
% 25.04/7.29 (convergent_lines(v0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 25.04/7.29 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 25.04/7.29 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v2) = v6 &
% 25.04/7.29 unorthogonal_lines(v0, v1) = v5 & convergent_lines(v0, v1) = v4 & ( ~ (v7
% 25.04/7.29 = 0) | (v6 = 0 & v3 = 0) | (v5 = 0 & v4 = 0)))) & ! [v0: $i] : !
% 25.04/7.29 [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ (convergent_lines(v1, v2) = 0) |
% 25.04/7.29 ~ (convergent_lines(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 25.04/7.29 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 25.04/7.29 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v2) = v6 &
% 25.04/7.29 unorthogonal_lines(v0, v1) = v4 & convergent_lines(v0, v2) = v5 & ( ~ (v7
% 25.04/7.30 = 0) | (v6 = 0 & v5 = 0) | (v4 = 0 & v3 = 0))))
% 25.04/7.30
% 25.04/7.31 (cu1)
% 25.04/7.31 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5:
% 25.04/7.31 int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = v5) | ~
% 25.04/7.31 (apart_point_and_line(v1, v2) = v4) | ~ (distinct_points(v0, v1) = 0) | ~
% 25.04/7.33 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] :
% 25.04/7.33 ? [v8: any] : (apart_point_and_line(v0, v3) = v8 & apart_point_and_line(v0,
% 25.04/7.33 v2) = v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 =
% 25.04/7.33 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4:
% 25.04/7.33 int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) =
% 25.04/7.33 v5) | ~ (apart_point_and_line(v0, v3) = v4) | ~ (distinct_lines(v2, v3)
% 25.04/7.33 = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ?
% 25.04/7.33 [v7: any] : ? [v8: any] : (apart_point_and_line(v1, v2) = v8 &
% 25.04/7.33 apart_point_and_line(v0, v2) = v7 & distinct_points(v0, v1) = v6 & ( ~ (v6
% 25.04/7.33 = 0) | v8 = 0 | v7 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 25.04/7.33 ! [v3: $i] : ! [v4: int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~
% 25.04/7.33 (apart_point_and_line(v1, v3) = v5) | ~ (apart_point_and_line(v0, v2) = v4)
% 25.04/7.33 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7:
% 25.04/7.33 any] : ? [v8: any] : ? [v9: any] : (apart_point_and_line(v1, v2) = v9 &
% 25.04/7.33 apart_point_and_line(v0, v3) = v8 & distinct_lines(v2, v3) = v7 &
% 25.04/7.33 distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0 | v8 =
% 25.04/7.33 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4:
% 25.04/7.33 int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v2) =
% 25.04/7.33 v5) | ~ (apart_point_and_line(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~
% 25.04/7.33 $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9:
% 25.04/7.33 any] : (apart_point_and_line(v1, v3) = v9 & apart_point_and_line(v0, v2) =
% 25.04/7.33 v8 & distinct_lines(v2, v3) = v7 & distinct_points(v0, v1) = v6 & ( ~ (v7
% 25.04/7.33 = 0) | ~ (v6 = 0) | v9 = 0 | v8 = 0))) & ! [v0: $i] : ! [v1: $i] :
% 25.04/7.33 ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~
% 25.04/7.33 (apart_point_and_line(v1, v2) = v5) | ~ (apart_point_and_line(v0, v2) = v4)
% 25.04/7.33 | ~ (distinct_lines(v2, v3) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 25.04/7.33 $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 25.04/7.33 (apart_point_and_line(v1, v3) = v8 & apart_point_and_line(v0, v3) = v7 &
% 25.04/7.33 distinct_points(v0, v1) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0))) & ! [v0:
% 25.04/7.33 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: int]
% 25.04/7.33 : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v0, v3) = v5) | ~
% 25.04/7.33 (apart_point_and_line(v0, v2) = v4) | ~ (distinct_points(v0, v1) = 0) | ~
% 25.04/7.33 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] :
% 25.04/7.33 ? [v8: any] : (apart_point_and_line(v1, v3) = v8 & apart_point_and_line(v1,
% 25.04/7.33 v2) = v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 =
% 25.04/7.33 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 25.04/7.33 (distinct_lines(v2, v3) = 0) | ~ (distinct_points(v0, v1) = 0) | ~ $i(v3)
% 25.04/7.33 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6:
% 25.04/7.33 any] : ? [v7: any] : (apart_point_and_line(v1, v3) = v7 &
% 25.04/7.33 apart_point_and_line(v1, v2) = v6 & apart_point_and_line(v0, v3) = v5 &
% 25.04/7.33 apart_point_and_line(v0, v2) = v4 & (v7 = 0 | v6 = 0 | v5 = 0 | v4 = 0)))
% 25.04/7.33
% 25.04/7.33 (cup1)
% 25.04/7.33 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 =
% 25.04/7.34 0 | v3 = 0 | ~ (apart_point_and_line(v0, v2) = v4) | ~
% 25.04/7.34 (apart_point_and_line(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 25.04/7.34 [v5: any] : ? [v6: any] : (convergent_lines(v1, v2) = v6 &
% 25.04/7.34 distinct_lines(v1, v2) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v0: $i] : !
% 25.04/7.34 [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 = 0 | v3 = 0 | ~
% 25.04/7.34 (apart_point_and_line(v0, v2) = v3) | ~ (convergent_lines(v1, v2) = v4) |
% 25.04/7.34 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] :
% 25.04/7.34 (apart_point_and_line(v0, v1) = v6 & distinct_lines(v1, v2) = v5 & ( ~ (v5 =
% 25.04/7.34 0) | v6 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 25.04/7.34 int] : ! [v4: int] : (v4 = 0 | v3 = 0 | ~ (apart_point_and_line(v0, v1) =
% 25.04/7.34 v3) | ~ (convergent_lines(v1, v2) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 25.04/7.34 $i(v0) | ? [v5: any] : ? [v6: any] : (apart_point_and_line(v0, v2) = v6 &
% 25.04/7.34 distinct_lines(v1, v2) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v0: $i] : !
% 25.04/7.34 [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (apart_point_and_line(v0,
% 25.04/7.34 v2) = v3) | ~ (distinct_lines(v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~
% 25.04/7.34 $i(v0) | ? [v4: any] : ? [v5: any] : (apart_point_and_line(v0, v1) = v4 &
% 25.04/7.34 convergent_lines(v1, v2) = v5 & (v5 = 0 | v4 = 0))) & ! [v0: $i] : !
% 25.04/7.34 [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (apart_point_and_line(v0,
% 25.04/7.34 v1) = v3) | ~ (distinct_lines(v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~
% 25.04/7.34 $i(v0) | ? [v4: any] : ? [v5: any] : (apart_point_and_line(v0, v2) = v4 &
% 25.04/7.34 convergent_lines(v1, v2) = v5 & (v5 = 0 | v4 = 0)))
% 25.04/7.34
% 25.04/7.34 (int1)
% 25.04/7.34 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0, v1) =
% 25.04/7.34 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 25.04/7.34 ? [v6: any] : (point(v2) = v6 & line(v1) = v4 & line(v0) = v3 &
% 25.04/7.34 convergent_lines(v0, v1) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) |
% 25.04/7.34 v6 = 0))) & ! [v0: $i] : ! [v1: $i] : ( ~ (convergent_lines(v0, v1) =
% 25.04/7.34 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: $i] :
% 25.04/7.34 ? [v5: any] : (point(v4) = v5 & line(v1) = v3 & line(v0) = v2 &
% 25.04/7.34 intersection_point(v0, v1) = v4 & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | v5
% 25.04/7.34 = 0)))
% 25.04/7.34
% 25.04/7.34 (oac1)
% 25.04/7.36 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] : ( ~
% 25.04/7.36 (unorthogonal_lines(v1, v2) = v4) | ~ (unorthogonal_lines(v0, v2) = v3) |
% 25.04/7.36 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7:
% 25.04/7.36 any] : ? [v8: any] : (unorthogonal_lines(v0, v1) = v6 &
% 25.04/7.36 convergent_lines(v1, v2) = v8 & convergent_lines(v0, v2) = v7 &
% 25.04/7.36 convergent_lines(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | (v8 = 0 & v4
% 25.04/7.36 = 0) | (v7 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 25.04/7.36 : ! [v3: any] : ! [v4: any] : ( ~ (unorthogonal_lines(v1, v2) = v4) | ~
% 25.04/7.36 (convergent_lines(v0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 25.04/7.36 [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 25.04/7.36 (unorthogonal_lines(v0, v2) = v7 & unorthogonal_lines(v0, v1) = v6 &
% 25.04/7.36 convergent_lines(v1, v2) = v8 & convergent_lines(v0, v1) = v5 & ( ~ (v6 =
% 25.04/7.36 0) | ~ (v5 = 0) | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0)))) & ! [v0:
% 25.04/7.36 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] : ( ~
% 25.04/7.36 (unorthogonal_lines(v0, v2) = v3) | ~ (convergent_lines(v1, v2) = v4) | ~
% 25.04/7.36 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any]
% 25.04/7.36 : ? [v8: any] : (unorthogonal_lines(v1, v2) = v8 & unorthogonal_lines(v0,
% 25.04/7.36 v1) = v6 & convergent_lines(v0, v2) = v7 & convergent_lines(v0, v1) = v5
% 25.04/7.36 & ( ~ (v6 = 0) | ~ (v5 = 0) | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0)))) &
% 25.04/7.36 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] : ( ~
% 25.04/7.36 (convergent_lines(v1, v2) = v4) | ~ (convergent_lines(v0, v2) = v3) | ~
% 25.04/7.36 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any]
% 25.04/7.36 : ? [v8: any] : (unorthogonal_lines(v1, v2) = v8 & unorthogonal_lines(v0,
% 25.04/7.36 v2) = v7 & unorthogonal_lines(v0, v1) = v6 & convergent_lines(v0, v1) =
% 25.04/7.36 v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0))))
% 25.04/7.36 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~
% 25.04/7.36 (unorthogonal_lines(v1, v2) = v3) | ~ (unorthogonal_lines(v0, v1) = 0) | ~
% 25.04/7.36 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: any]
% 25.04/7.36 : ? [v7: any] : (unorthogonal_lines(v0, v2) = v6 & convergent_lines(v1, v2)
% 25.04/7.36 = v7 & convergent_lines(v0, v2) = v5 & convergent_lines(v0, v1) = v4 & ( ~
% 25.04/7.36 (v4 = 0) | (v7 = 0 & v3 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0: $i] : !
% 25.04/7.36 [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v1, v2) = v3)
% 25.04/7.36 | ~ (convergent_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 25.04/7.36 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 25.04/7.36 (unorthogonal_lines(v0, v2) = v6 & unorthogonal_lines(v0, v1) = v4 &
% 25.04/7.36 convergent_lines(v1, v2) = v7 & convergent_lines(v0, v2) = v5 & ( ~ (v4 =
% 25.04/7.36 0) | (v7 = 0 & v3 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0: $i] : ! [v1:
% 25.04/7.36 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v0, v2) = v3) |
% 25.04/7.36 ~ (unorthogonal_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 25.04/7.36 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 25.04/7.36 (unorthogonal_lines(v1, v2) = v7 & convergent_lines(v1, v2) = v6 &
% 25.04/7.36 convergent_lines(v0, v2) = v5 & convergent_lines(v0, v1) = v4 & ( ~ (v4 =
% 25.04/7.36 0) | (v7 = 0 & v6 = 0) | (v5 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1:
% 25.04/7.36 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v0, v2) = v3) |
% 25.04/7.36 ~ (convergent_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 25.04/7.36 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 25.04/7.36 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v1) = v4 &
% 25.04/7.36 convergent_lines(v1, v2) = v6 & convergent_lines(v0, v2) = v5 & ( ~ (v4 =
% 25.04/7.36 0) | (v7 = 0 & v6 = 0) | (v5 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1:
% 25.04/7.36 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v0, v1) = 0) | ~
% 25.04/7.36 (convergent_lines(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 25.04/7.36 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 25.04/7.36 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v2) = v6 &
% 25.04/7.36 convergent_lines(v0, v2) = v5 & convergent_lines(v0, v1) = v4 & ( ~ (v4 =
% 25.04/7.36 0) | (v7 = 0 & v3 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0: $i] : ! [v1:
% 25.04/7.36 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v0, v1) = 0) | ~
% 25.04/7.36 (convergent_lines(v0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 25.04/7.36 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 25.04/7.36 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v2) = v5 &
% 25.28/7.36 convergent_lines(v1, v2) = v6 & convergent_lines(v0, v1) = v4 & ( ~ (v4 =
% 25.28/7.36 0) | (v7 = 0 & v6 = 0) | (v5 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1:
% 25.28/7.36 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (convergent_lines(v1, v2) = v3) | ~
% 25.28/7.36 (convergent_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4:
% 25.28/7.36 any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 25.28/7.36 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v2) = v6 &
% 25.28/7.36 unorthogonal_lines(v0, v1) = v4 & convergent_lines(v0, v2) = v5 & ( ~ (v4
% 25.28/7.36 = 0) | (v7 = 0 & v3 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0: $i] : !
% 25.28/7.36 [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ (convergent_lines(v0, v2) = v3) |
% 25.28/7.36 ~ (convergent_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 25.28/7.36 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 25.28/7.36 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v2) = v5 &
% 25.28/7.36 unorthogonal_lines(v0, v1) = v4 & convergent_lines(v1, v2) = v6 & ( ~ (v4
% 25.28/7.36 = 0) | (v7 = 0 & v6 = 0) | (v5 = 0 & v3 = 0))))
% 25.28/7.36
% 25.28/7.36 (function-axioms)
% 25.28/7.37 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 25.28/7.37 [v3: $i] : (v1 = v0 | ~ (orthogonal_lines(v3, v2) = v1) | ~
% 25.28/7.37 (orthogonal_lines(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 25.28/7.37 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 25.28/7.37 (incident_point_and_line(v3, v2) = v1) | ~ (incident_point_and_line(v3, v2)
% 25.28/7.37 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 25.28/7.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (parallel_lines(v3, v2) = v1) | ~
% 25.28/7.37 (parallel_lines(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 25.28/7.37 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 25.28/7.37 (equal_lines(v3, v2) = v1) | ~ (equal_lines(v3, v2) = v0)) & ! [v0:
% 25.28/7.37 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 25.28/7.37 : (v1 = v0 | ~ (equal_points(v3, v2) = v1) | ~ (equal_points(v3, v2) = v0))
% 25.28/7.37 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 25.28/7.37 (orthogonal_through_point(v3, v2) = v1) | ~ (orthogonal_through_point(v3,
% 25.28/7.37 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 25.28/7.37 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (unorthogonal_lines(v3, v2) = v1) |
% 25.28/7.37 ~ (unorthogonal_lines(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 25.28/7.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (parallel_through_point(v3, v2) = v1) | ~
% 25.28/7.37 (parallel_through_point(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 25.28/7.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (intersection_point(v3, v2) = v1) | ~
% 25.28/7.37 (intersection_point(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 25.28/7.37 : ! [v3: $i] : (v1 = v0 | ~ (line_connecting(v3, v2) = v1) | ~
% 25.28/7.37 (line_connecting(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 25.28/7.37 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 25.28/7.37 (apart_point_and_line(v3, v2) = v1) | ~ (apart_point_and_line(v3, v2) =
% 25.28/7.37 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 25.28/7.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (convergent_lines(v3, v2) = v1) | ~
% 25.28/7.37 (convergent_lines(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 25.28/7.37 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 25.28/7.37 (distinct_lines(v3, v2) = v1) | ~ (distinct_lines(v3, v2) = v0)) & ! [v0:
% 25.28/7.37 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 25.28/7.37 : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~ (distinct_points(v3, v2) =
% 25.28/7.37 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 25.28/7.37 $i] : (v1 = v0 | ~ (point(v2) = v1) | ~ (point(v2) = v0)) & ! [v0:
% 25.28/7.37 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 25.28/7.37 ~ (line(v2) = v1) | ~ (line(v2) = v0))
% 25.28/7.37
% 25.28/7.37 Further assumptions not needed in the proof:
% 25.28/7.37 --------------------------------------------
% 25.28/7.37 a3, a5, apart1, apart2, apart4, apart5, ax2, ax6, ceq1, ceq2, ci1, ci2, coipo1,
% 25.28/7.37 con1, couo1, cp1, cp2, occu1, ooc1, ooc2, orth1, ouo1, p1, par1
% 25.28/7.37
% 25.28/7.37 Those formulas are unsatisfiable:
% 25.28/7.37 ---------------------------------
% 25.28/7.37
% 25.28/7.37 Begin of proof
% 25.32/7.38 |
% 25.32/7.38 | ALPHA: (ci3) implies:
% 25.32/7.38 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (convergent_lines(v0, v1) = 0) | ~
% 25.32/7.38 | $i(v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) &
% 25.32/7.38 | intersection_point(v0, v1) = v2 & apart_point_and_line(v2, v0) = v3
% 25.32/7.38 | & $i(v2)))
% 25.32/7.38 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0,
% 25.32/7.38 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 25.32/7.38 | (apart_point_and_line(v2, v0) = v4 & convergent_lines(v0, v1) = v3 &
% 25.32/7.38 | ( ~ (v4 = 0) | ~ (v3 = 0))))
% 25.32/7.38 |
% 25.32/7.38 | ALPHA: (ci4) implies:
% 25.32/7.38 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ (convergent_lines(v0, v1) = 0) | ~
% 25.32/7.38 | $i(v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) &
% 25.32/7.38 | intersection_point(v0, v1) = v2 & apart_point_and_line(v2, v1) = v3
% 25.32/7.38 | & $i(v2)))
% 25.32/7.39 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0,
% 25.32/7.39 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 25.32/7.39 | (apart_point_and_line(v2, v1) = v4 & convergent_lines(v0, v1) = v3 &
% 25.32/7.39 | ( ~ (v4 = 0) | ~ (v3 = 0))))
% 25.32/7.39 |
% 25.32/7.39 | ALPHA: (cu1) implies:
% 25.40/7.41 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 25.40/7.41 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v0, v3) = v5)
% 25.40/7.41 | | ~ (apart_point_and_line(v0, v2) = v4) | ~ (distinct_points(v0,
% 25.40/7.41 | v1) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 25.40/7.41 | [v6: any] : ? [v7: any] : ? [v8: any] : (apart_point_and_line(v1,
% 25.40/7.41 | v3) = v8 & apart_point_and_line(v1, v2) = v7 & distinct_lines(v2,
% 25.40/7.41 | v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0)))
% 25.40/7.41 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 25.40/7.41 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v2) = v5)
% 25.40/7.41 | | ~ (apart_point_and_line(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~
% 25.40/7.41 | $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ?
% 25.40/7.41 | [v9: any] : (apart_point_and_line(v1, v3) = v9 &
% 25.40/7.41 | apart_point_and_line(v0, v2) = v8 & distinct_lines(v2, v3) = v7 &
% 25.40/7.41 | distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0
% 25.40/7.41 | | v8 = 0)))
% 25.40/7.41 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 25.40/7.41 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = v5)
% 25.40/7.41 | | ~ (apart_point_and_line(v0, v2) = v4) | ~ $i(v3) | ~ $i(v2) | ~
% 25.40/7.41 | $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ?
% 25.40/7.41 | [v9: any] : (apart_point_and_line(v1, v2) = v9 &
% 25.40/7.41 | apart_point_and_line(v0, v3) = v8 & distinct_lines(v2, v3) = v7 &
% 25.40/7.41 | distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0
% 25.40/7.41 | | v8 = 0)))
% 25.40/7.42 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 25.40/7.43 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = v5)
% 25.40/7.43 | | ~ (apart_point_and_line(v1, v2) = v4) | ~ (distinct_points(v0,
% 25.40/7.43 | v1) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 25.40/7.43 | [v6: any] : ? [v7: any] : ? [v8: any] : (apart_point_and_line(v0,
% 25.40/7.43 | v3) = v8 & apart_point_and_line(v0, v2) = v7 & distinct_lines(v2,
% 25.40/7.43 | v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0)))
% 25.40/7.43 |
% 25.40/7.43 | ALPHA: (ceq3) implies:
% 25.47/7.43 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 25.47/7.43 | (convergent_lines(v0, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) |
% 25.47/7.43 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | distinct_lines(v1, v2) = 0)
% 25.47/7.43 |
% 25.47/7.43 | ALPHA: (cup1) implies:
% 25.47/7.43 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int]
% 25.47/7.43 | : (v4 = 0 | v3 = 0 | ~ (apart_point_and_line(v0, v2) = v4) | ~
% 25.47/7.43 | (apart_point_and_line(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 25.47/7.43 | $i(v0) | ? [v5: any] : ? [v6: any] : (convergent_lines(v1, v2) =
% 25.47/7.43 | v6 & distinct_lines(v1, v2) = v5 & ( ~ (v5 = 0) | v6 = 0)))
% 25.47/7.43 |
% 25.47/7.43 | ALPHA: (oac1) implies:
% 25.47/7.43 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~
% 25.47/7.43 | (convergent_lines(v0, v2) = v3) | ~ (convergent_lines(v0, v1) = 0)
% 25.47/7.43 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] :
% 25.47/7.44 | ? [v6: any] : ? [v7: any] : (unorthogonal_lines(v1, v2) = v7 &
% 25.47/7.44 | unorthogonal_lines(v0, v2) = v5 & unorthogonal_lines(v0, v1) = v4
% 25.47/7.44 | & convergent_lines(v1, v2) = v6 & ( ~ (v4 = 0) | (v7 = 0 & v6 = 0)
% 25.47/7.44 | | (v5 = 0 & v3 = 0))))
% 25.47/7.45 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~
% 25.47/7.45 | (unorthogonal_lines(v0, v2) = v3) | ~ (convergent_lines(v0, v1) =
% 25.47/7.45 | 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5:
% 25.47/7.45 | any] : ? [v6: any] : ? [v7: any] : (unorthogonal_lines(v1, v2) =
% 25.47/7.45 | v7 & unorthogonal_lines(v0, v1) = v4 & convergent_lines(v1, v2) =
% 25.47/7.45 | v6 & convergent_lines(v0, v2) = v5 & ( ~ (v4 = 0) | (v7 = 0 & v6 =
% 25.47/7.45 | 0) | (v5 = 0 & v3 = 0))))
% 25.47/7.45 | (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any]
% 25.47/7.45 | : ( ~ (convergent_lines(v1, v2) = v4) | ~ (convergent_lines(v0, v2) =
% 25.47/7.45 | v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6:
% 25.47/7.45 | any] : ? [v7: any] : ? [v8: any] : (unorthogonal_lines(v1, v2) =
% 25.47/7.45 | v8 & unorthogonal_lines(v0, v2) = v7 & unorthogonal_lines(v0, v1)
% 25.47/7.45 | = v6 & convergent_lines(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)
% 25.47/7.45 | | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0))))
% 25.47/7.45 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any]
% 25.47/7.45 | : ( ~ (unorthogonal_lines(v0, v2) = v3) | ~ (convergent_lines(v1, v2)
% 25.47/7.45 | = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6:
% 25.47/7.45 | any] : ? [v7: any] : ? [v8: any] : (unorthogonal_lines(v1, v2) =
% 25.47/7.45 | v8 & unorthogonal_lines(v0, v1) = v6 & convergent_lines(v0, v2) =
% 25.47/7.46 | v7 & convergent_lines(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) |
% 25.47/7.46 | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0))))
% 25.47/7.47 | (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any]
% 25.47/7.47 | : ( ~ (unorthogonal_lines(v1, v2) = v4) | ~ (convergent_lines(v0, v2)
% 25.47/7.47 | = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6:
% 25.47/7.47 | any] : ? [v7: any] : ? [v8: any] : (unorthogonal_lines(v0, v2) =
% 25.47/7.47 | v7 & unorthogonal_lines(v0, v1) = v6 & convergent_lines(v1, v2) =
% 25.47/7.47 | v8 & convergent_lines(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) |
% 25.47/7.47 | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0))))
% 25.47/7.47 | (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any]
% 25.47/7.47 | : ( ~ (unorthogonal_lines(v1, v2) = v4) | ~ (unorthogonal_lines(v0,
% 25.47/7.47 | v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] :
% 25.47/7.47 | ? [v6: any] : ? [v7: any] : ? [v8: any] : (unorthogonal_lines(v0,
% 25.47/7.47 | v1) = v6 & convergent_lines(v1, v2) = v8 & convergent_lines(v0,
% 25.47/7.47 | v2) = v7 & convergent_lines(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5
% 25.47/7.47 | = 0) | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0))))
% 25.47/7.47 |
% 25.47/7.47 | ALPHA: (cotno1) implies:
% 25.47/7.48 | (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~
% 25.47/7.48 | (convergent_lines(v1, v2) = 0) | ~ (convergent_lines(v0, v2) = v3)
% 25.47/7.48 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] :
% 25.47/7.48 | ? [v6: any] : ? [v7: any] : (unorthogonal_lines(v1, v2) = v7 &
% 25.47/7.48 | unorthogonal_lines(v0, v2) = v6 & unorthogonal_lines(v0, v1) = v5
% 25.47/7.48 | & convergent_lines(v0, v1) = v4 & ( ~ (v7 = 0) | (v6 = 0 & v3 = 0)
% 25.47/7.48 | | (v5 = 0 & v4 = 0))))
% 25.47/7.48 | (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any]
% 25.47/7.48 | : ( ~ (convergent_lines(v0, v2) = v4) | ~ (convergent_lines(v0, v1) =
% 25.47/7.48 | v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6:
% 25.47/7.48 | any] : ? [v7: any] : ? [v8: any] : (unorthogonal_lines(v1, v2) =
% 25.47/7.48 | v8 & unorthogonal_lines(v0, v2) = v6 & unorthogonal_lines(v0, v1)
% 25.47/7.48 | = v5 & convergent_lines(v1, v2) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0)
% 25.47/7.48 | | (v6 = 0 & v4 = 0) | (v5 = 0 & v3 = 0))))
% 25.47/7.48 | (19) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any]
% 25.47/7.48 | : ( ~ (unorthogonal_lines(v0, v2) = v4) | ~ (convergent_lines(v0, v1)
% 25.47/7.48 | = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6:
% 25.47/7.48 | any] : ? [v7: any] : ? [v8: any] : (unorthogonal_lines(v1, v2) =
% 25.47/7.48 | v8 & unorthogonal_lines(v0, v1) = v5 & convergent_lines(v1, v2) =
% 25.47/7.48 | v7 & convergent_lines(v0, v2) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) |
% 25.47/7.48 | (v6 = 0 & v4 = 0) | (v5 = 0 & v3 = 0))))
% 25.47/7.48 | (20) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any]
% 25.47/7.48 | : ( ~ (unorthogonal_lines(v0, v2) = v4) | ~ (unorthogonal_lines(v0,
% 25.47/7.48 | v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] :
% 25.47/7.48 | ? [v6: any] : ? [v7: any] : ? [v8: any] : (unorthogonal_lines(v1,
% 25.47/7.48 | v2) = v8 & convergent_lines(v1, v2) = v7 & convergent_lines(v0,
% 25.47/7.48 | v2) = v6 & convergent_lines(v0, v1) = v5 & ( ~ (v8 = 0) | ~ (v7
% 25.47/7.48 | = 0) | (v6 = 0 & v4 = 0) | (v5 = 0 & v3 = 0))))
% 25.47/7.48 |
% 25.47/7.48 | ALPHA: (int1) implies:
% 25.47/7.48 | (21) ! [v0: $i] : ! [v1: $i] : ( ~ (convergent_lines(v0, v1) = 0) | ~
% 25.47/7.48 | $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: $i] : ?
% 25.47/7.48 | [v5: any] : (point(v4) = v5 & line(v1) = v3 & line(v0) = v2 &
% 25.47/7.48 | intersection_point(v0, v1) = v4 & $i(v4) & ( ~ (v3 = 0) | ~ (v2 =
% 25.47/7.48 | 0) | v5 = 0)))
% 25.47/7.48 | (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0,
% 25.47/7.48 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any]
% 25.47/7.48 | : ? [v5: any] : ? [v6: any] : (point(v2) = v6 & line(v1) = v4 &
% 25.47/7.48 | line(v0) = v3 & convergent_lines(v0, v1) = v5 & ( ~ (v5 = 0) | ~
% 25.47/7.48 | (v4 = 0) | ~ (v3 = 0) | v6 = 0)))
% 25.47/7.48 |
% 25.47/7.48 | ALPHA: (ax1) implies:
% 25.47/7.50 | (23) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 25.47/7.50 | (equal_points(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) |
% 25.47/7.50 | distinct_points(v0, v1) = 0)
% 25.47/7.50 |
% 25.47/7.50 | ALPHA: (a4) implies:
% 25.47/7.50 | (24) ! [v0: $i] : ! [v1: $i] : ( ~ (incident_point_and_line(v0, v1) = 0)
% 25.47/7.50 | | ~ $i(v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) &
% 25.47/7.50 | apart_point_and_line(v0, v1) = v2))
% 25.47/7.50 |
% 25.47/7.50 | ALPHA: (function-axioms) implies:
% 25.47/7.50 | (25) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 25.47/7.50 | : ! [v3: $i] : (v1 = v0 | ~ (distinct_lines(v3, v2) = v1) | ~
% 25.47/7.50 | (distinct_lines(v3, v2) = v0))
% 25.47/7.50 | (26) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 25.47/7.50 | : ! [v3: $i] : (v1 = v0 | ~ (convergent_lines(v3, v2) = v1) | ~
% 25.47/7.50 | (convergent_lines(v3, v2) = v0))
% 25.47/7.51 | (27) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 25.47/7.51 | : ! [v3: $i] : (v1 = v0 | ~ (apart_point_and_line(v3, v2) = v1) | ~
% 25.47/7.51 | (apart_point_and_line(v3, v2) = v0))
% 25.47/7.51 | (28) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 25.47/7.51 | (intersection_point(v3, v2) = v1) | ~ (intersection_point(v3, v2) =
% 25.47/7.51 | v0))
% 25.47/7.51 | (29) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 25.47/7.51 | : ! [v3: $i] : (v1 = v0 | ~ (unorthogonal_lines(v3, v2) = v1) | ~
% 25.47/7.51 | (unorthogonal_lines(v3, v2) = v0))
% 25.47/7.51 |
% 25.47/7.51 | DELTA: instantiating (con) with fresh symbols all_38_0, all_38_1, all_38_2,
% 25.47/7.51 | all_38_3, all_38_4 gives:
% 25.47/7.51 | (30) ~ (all_38_0 = 0) & incident_point_and_line(all_38_2, all_38_3) = 0 &
% 25.47/7.51 | incident_point_and_line(all_38_2, all_38_4) = 0 &
% 25.47/7.51 | equal_points(all_38_2, all_38_1) = all_38_0 &
% 25.47/7.51 | intersection_point(all_38_4, all_38_3) = all_38_1 &
% 25.47/7.51 | convergent_lines(all_38_4, all_38_3) = 0 & $i(all_38_1) & $i(all_38_2)
% 25.47/7.51 | & $i(all_38_3) & $i(all_38_4)
% 25.47/7.51 |
% 25.47/7.51 | ALPHA: (30) implies:
% 25.47/7.51 | (31) ~ (all_38_0 = 0)
% 25.47/7.51 | (32) $i(all_38_4)
% 25.47/7.51 | (33) $i(all_38_3)
% 25.47/7.51 | (34) $i(all_38_2)
% 25.47/7.51 | (35) $i(all_38_1)
% 25.47/7.51 | (36) convergent_lines(all_38_4, all_38_3) = 0
% 25.47/7.51 | (37) intersection_point(all_38_4, all_38_3) = all_38_1
% 25.47/7.51 | (38) equal_points(all_38_2, all_38_1) = all_38_0
% 25.47/7.51 | (39) incident_point_and_line(all_38_2, all_38_4) = 0
% 25.47/7.51 | (40) incident_point_and_line(all_38_2, all_38_3) = 0
% 25.47/7.51 |
% 25.47/7.51 | GROUND_INST: instantiating (11) with all_38_4, all_38_3, all_38_3, 0,
% 25.47/7.51 | simplifying with (32), (33), (36) gives:
% 25.47/7.51 | (41) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 25.47/7.51 | (unorthogonal_lines(all_38_3, all_38_3) = v3 &
% 25.47/7.51 | unorthogonal_lines(all_38_4, all_38_3) = v1 &
% 25.47/7.51 | unorthogonal_lines(all_38_4, all_38_3) = v0 &
% 25.47/7.51 | convergent_lines(all_38_3, all_38_3) = v2 & ( ~ (v0 = 0) | v1 = 0 |
% 25.47/7.51 | (v3 = 0 & v2 = 0)))
% 25.47/7.51 |
% 25.47/7.51 | GROUND_INST: instantiating (17) with all_38_4, all_38_4, all_38_3, 0,
% 25.47/7.51 | simplifying with (32), (33), (36) gives:
% 25.47/7.51 | (42) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 25.47/7.51 | (unorthogonal_lines(all_38_4, all_38_3) = v3 &
% 25.47/7.51 | unorthogonal_lines(all_38_4, all_38_3) = v2 &
% 25.47/7.51 | unorthogonal_lines(all_38_4, all_38_4) = v1 &
% 25.47/7.51 | convergent_lines(all_38_4, all_38_4) = v0 & ( ~ (v3 = 0) | v2 = 0 |
% 25.47/7.51 | (v1 = 0 & v0 = 0)))
% 25.47/7.51 |
% 25.47/7.51 | GROUND_INST: instantiating (13) with all_38_4, all_38_4, all_38_3, 0, 0,
% 25.47/7.51 | simplifying with (32), (33), (36) gives:
% 25.47/7.51 | (43) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 25.47/7.51 | (unorthogonal_lines(all_38_4, all_38_3) = v3 &
% 25.47/7.51 | unorthogonal_lines(all_38_4, all_38_3) = v2 &
% 25.47/7.51 | unorthogonal_lines(all_38_4, all_38_4) = v1 &
% 25.47/7.51 | convergent_lines(all_38_4, all_38_4) = v0 & ( ~ (v1 = 0) | ~ (v0 =
% 25.47/7.51 | 0) | v3 = 0 | v2 = 0))
% 25.47/7.51 |
% 25.47/7.51 | GROUND_INST: instantiating (18) with all_38_4, all_38_3, all_38_3, 0, 0,
% 25.47/7.51 | simplifying with (32), (33), (36) gives:
% 25.47/7.51 | (44) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 25.47/7.51 | (unorthogonal_lines(all_38_3, all_38_3) = v3 &
% 25.47/7.51 | unorthogonal_lines(all_38_4, all_38_3) = v1 &
% 25.47/7.51 | unorthogonal_lines(all_38_4, all_38_3) = v0 &
% 25.47/7.51 | convergent_lines(all_38_3, all_38_3) = v2 & ( ~ (v3 = 0) | ~ (v2 =
% 25.47/7.51 | 0) | v1 = 0 | v0 = 0))
% 25.47/7.51 |
% 25.47/7.51 | GROUND_INST: instantiating (21) with all_38_4, all_38_3, simplifying with
% 25.47/7.51 | (32), (33), (36) gives:
% 25.47/7.51 | (45) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : (point(v2)
% 25.47/7.51 | = v3 & line(all_38_3) = v1 & line(all_38_4) = v0 &
% 25.47/7.51 | intersection_point(all_38_4, all_38_3) = v2 & $i(v2) & ( ~ (v1 = 0)
% 25.47/7.51 | | ~ (v0 = 0) | v3 = 0))
% 25.47/7.51 |
% 25.47/7.51 | GROUND_INST: instantiating (3) with all_38_4, all_38_3, simplifying with (32),
% 25.47/7.51 | (33), (36) gives:
% 25.47/7.51 | (46) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) &
% 25.47/7.51 | intersection_point(all_38_4, all_38_3) = v0 &
% 25.47/7.51 | apart_point_and_line(v0, all_38_3) = v1 & $i(v0))
% 25.47/7.52 |
% 25.47/7.52 | GROUND_INST: instantiating (1) with all_38_4, all_38_3, simplifying with (32),
% 25.47/7.52 | (33), (36) gives:
% 25.47/7.52 | (47) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) &
% 25.47/7.52 | intersection_point(all_38_4, all_38_3) = v0 &
% 25.47/7.52 | apart_point_and_line(v0, all_38_4) = v1 & $i(v0))
% 25.47/7.52 |
% 25.47/7.52 | GROUND_INST: instantiating (22) with all_38_4, all_38_3, all_38_1, simplifying
% 25.47/7.52 | with (32), (33), (37) gives:
% 25.47/7.52 | (48) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 25.47/7.52 | (point(all_38_1) = v3 & line(all_38_3) = v1 & line(all_38_4) = v0 &
% 25.47/7.52 | convergent_lines(all_38_4, all_38_3) = v2 & ( ~ (v2 = 0) | ~ (v1 =
% 25.47/7.52 | 0) | ~ (v0 = 0) | v3 = 0))
% 25.47/7.52 |
% 25.47/7.52 | GROUND_INST: instantiating (4) with all_38_4, all_38_3, all_38_1, simplifying
% 25.47/7.52 | with (32), (33), (37) gives:
% 25.71/7.53 | (49) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_38_1,
% 25.71/7.53 | all_38_3) = v1 & convergent_lines(all_38_4, all_38_3) = v0 & ( ~
% 25.71/7.53 | (v1 = 0) | ~ (v0 = 0)))
% 25.71/7.53 |
% 25.71/7.53 | GROUND_INST: instantiating (2) with all_38_4, all_38_3, all_38_1, simplifying
% 25.71/7.53 | with (32), (33), (37) gives:
% 25.71/7.53 | (50) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_38_1,
% 25.71/7.53 | all_38_4) = v1 & convergent_lines(all_38_4, all_38_3) = v0 & ( ~
% 25.71/7.53 | (v1 = 0) | ~ (v0 = 0)))
% 25.71/7.53 |
% 25.71/7.54 | GROUND_INST: instantiating (23) with all_38_2, all_38_1, all_38_0, simplifying
% 25.71/7.54 | with (34), (35), (38) gives:
% 25.71/7.54 | (51) all_38_0 = 0 | distinct_points(all_38_2, all_38_1) = 0
% 25.71/7.54 |
% 25.71/7.54 | GROUND_INST: instantiating (24) with all_38_2, all_38_4, simplifying with
% 25.71/7.54 | (32), (34), (39) gives:
% 25.71/7.54 | (52) ? [v0: int] : ( ~ (v0 = 0) & apart_point_and_line(all_38_2, all_38_4)
% 25.71/7.54 | = v0)
% 25.71/7.54 |
% 25.71/7.54 | GROUND_INST: instantiating (24) with all_38_2, all_38_3, simplifying with
% 25.71/7.54 | (33), (34), (40) gives:
% 25.71/7.54 | (53) ? [v0: int] : ( ~ (v0 = 0) & apart_point_and_line(all_38_2, all_38_3)
% 25.71/7.54 | = v0)
% 25.71/7.54 |
% 25.71/7.54 | DELTA: instantiating (53) with fresh symbol all_45_0 gives:
% 25.71/7.54 | (54) ~ (all_45_0 = 0) & apart_point_and_line(all_38_2, all_38_3) =
% 25.71/7.54 | all_45_0
% 25.71/7.54 |
% 25.71/7.54 | ALPHA: (54) implies:
% 25.71/7.54 | (55) ~ (all_45_0 = 0)
% 25.71/7.54 | (56) apart_point_and_line(all_38_2, all_38_3) = all_45_0
% 25.71/7.54 |
% 25.71/7.54 | DELTA: instantiating (52) with fresh symbol all_47_0 gives:
% 25.71/7.54 | (57) ~ (all_47_0 = 0) & apart_point_and_line(all_38_2, all_38_4) =
% 25.71/7.54 | all_47_0
% 25.71/7.54 |
% 25.71/7.54 | ALPHA: (57) implies:
% 25.71/7.54 | (58) ~ (all_47_0 = 0)
% 25.71/7.54 | (59) apart_point_and_line(all_38_2, all_38_4) = all_47_0
% 25.71/7.54 |
% 25.71/7.54 | DELTA: instantiating (47) with fresh symbols all_51_0, all_51_1 gives:
% 25.71/7.54 | (60) ~ (all_51_0 = 0) & intersection_point(all_38_4, all_38_3) = all_51_1
% 25.71/7.54 | & apart_point_and_line(all_51_1, all_38_4) = all_51_0 & $i(all_51_1)
% 25.71/7.54 |
% 25.71/7.54 | ALPHA: (60) implies:
% 25.71/7.54 | (61) $i(all_51_1)
% 25.71/7.54 | (62) apart_point_and_line(all_51_1, all_38_4) = all_51_0
% 25.71/7.54 | (63) intersection_point(all_38_4, all_38_3) = all_51_1
% 25.71/7.54 |
% 25.71/7.54 | DELTA: instantiating (46) with fresh symbols all_53_0, all_53_1 gives:
% 25.71/7.54 | (64) ~ (all_53_0 = 0) & intersection_point(all_38_4, all_38_3) = all_53_1
% 25.71/7.54 | & apart_point_and_line(all_53_1, all_38_3) = all_53_0 & $i(all_53_1)
% 25.71/7.54 |
% 25.71/7.54 | ALPHA: (64) implies:
% 25.71/7.54 | (65) apart_point_and_line(all_53_1, all_38_3) = all_53_0
% 25.71/7.54 | (66) intersection_point(all_38_4, all_38_3) = all_53_1
% 25.71/7.54 |
% 25.71/7.54 | DELTA: instantiating (50) with fresh symbols all_55_0, all_55_1 gives:
% 25.71/7.55 | (67) apart_point_and_line(all_38_1, all_38_4) = all_55_0 &
% 25.71/7.55 | convergent_lines(all_38_4, all_38_3) = all_55_1 & ( ~ (all_55_0 = 0) |
% 25.71/7.55 | ~ (all_55_1 = 0))
% 25.71/7.55 |
% 25.71/7.55 | ALPHA: (67) implies:
% 25.71/7.55 | (68) convergent_lines(all_38_4, all_38_3) = all_55_1
% 25.71/7.55 | (69) apart_point_and_line(all_38_1, all_38_4) = all_55_0
% 25.71/7.55 | (70) ~ (all_55_0 = 0) | ~ (all_55_1 = 0)
% 25.71/7.55 |
% 25.71/7.55 | DELTA: instantiating (49) with fresh symbols all_57_0, all_57_1 gives:
% 25.71/7.55 | (71) apart_point_and_line(all_38_1, all_38_3) = all_57_0 &
% 25.71/7.55 | convergent_lines(all_38_4, all_38_3) = all_57_1 & ( ~ (all_57_0 = 0) |
% 25.71/7.55 | ~ (all_57_1 = 0))
% 25.71/7.55 |
% 25.71/7.55 | ALPHA: (71) implies:
% 25.71/7.55 | (72) convergent_lines(all_38_4, all_38_3) = all_57_1
% 25.71/7.55 | (73) apart_point_and_line(all_38_1, all_38_3) = all_57_0
% 25.71/7.55 | (74) ~ (all_57_0 = 0) | ~ (all_57_1 = 0)
% 25.71/7.55 |
% 25.71/7.55 | DELTA: instantiating (48) with fresh symbols all_59_0, all_59_1, all_59_2,
% 25.71/7.55 | all_59_3 gives:
% 25.71/7.55 | (75) point(all_38_1) = all_59_0 & line(all_38_3) = all_59_2 &
% 25.71/7.55 | line(all_38_4) = all_59_3 & convergent_lines(all_38_4, all_38_3) =
% 25.71/7.55 | all_59_1 & ( ~ (all_59_1 = 0) | ~ (all_59_2 = 0) | ~ (all_59_3 = 0)
% 25.71/7.55 | | all_59_0 = 0)
% 25.71/7.55 |
% 25.71/7.55 | ALPHA: (75) implies:
% 25.71/7.55 | (76) convergent_lines(all_38_4, all_38_3) = all_59_1
% 25.71/7.55 |
% 25.71/7.55 | DELTA: instantiating (44) with fresh symbols all_61_0, all_61_1, all_61_2,
% 25.71/7.55 | all_61_3 gives:
% 25.71/7.55 | (77) unorthogonal_lines(all_38_3, all_38_3) = all_61_0 &
% 25.71/7.55 | unorthogonal_lines(all_38_4, all_38_3) = all_61_2 &
% 25.71/7.55 | unorthogonal_lines(all_38_4, all_38_3) = all_61_3 &
% 25.71/7.55 | convergent_lines(all_38_3, all_38_3) = all_61_1 & ( ~ (all_61_0 = 0) |
% 25.71/7.55 | ~ (all_61_1 = 0) | all_61_2 = 0 | all_61_3 = 0)
% 25.71/7.55 |
% 25.71/7.55 | ALPHA: (77) implies:
% 25.71/7.55 | (78) unorthogonal_lines(all_38_4, all_38_3) = all_61_3
% 25.71/7.55 | (79) unorthogonal_lines(all_38_4, all_38_3) = all_61_2
% 25.71/7.55 |
% 25.71/7.55 | DELTA: instantiating (42) with fresh symbols all_63_0, all_63_1, all_63_2,
% 25.71/7.55 | all_63_3 gives:
% 25.71/7.55 | (80) unorthogonal_lines(all_38_4, all_38_3) = all_63_0 &
% 25.71/7.55 | unorthogonal_lines(all_38_4, all_38_3) = all_63_1 &
% 25.71/7.55 | unorthogonal_lines(all_38_4, all_38_4) = all_63_2 &
% 25.71/7.55 | convergent_lines(all_38_4, all_38_4) = all_63_3 & ( ~ (all_63_0 = 0) |
% 25.71/7.55 | all_63_1 = 0 | (all_63_2 = 0 & all_63_3 = 0))
% 25.71/7.55 |
% 25.71/7.55 | ALPHA: (80) implies:
% 25.71/7.55 | (81) convergent_lines(all_38_4, all_38_4) = all_63_3
% 25.71/7.56 | (82) unorthogonal_lines(all_38_4, all_38_4) = all_63_2
% 25.71/7.56 | (83) unorthogonal_lines(all_38_4, all_38_3) = all_63_1
% 25.71/7.56 | (84) unorthogonal_lines(all_38_4, all_38_3) = all_63_0
% 25.71/7.56 |
% 25.71/7.56 | DELTA: instantiating (41) with fresh symbols all_65_0, all_65_1, all_65_2,
% 25.71/7.56 | all_65_3 gives:
% 25.71/7.56 | (85) unorthogonal_lines(all_38_3, all_38_3) = all_65_0 &
% 25.71/7.56 | unorthogonal_lines(all_38_4, all_38_3) = all_65_2 &
% 25.71/7.56 | unorthogonal_lines(all_38_4, all_38_3) = all_65_3 &
% 25.71/7.56 | convergent_lines(all_38_3, all_38_3) = all_65_1 & ( ~ (all_65_3 = 0) |
% 25.71/7.56 | all_65_2 = 0 | (all_65_0 = 0 & all_65_1 = 0))
% 25.71/7.56 |
% 25.71/7.56 | ALPHA: (85) implies:
% 25.71/7.56 | (86) unorthogonal_lines(all_38_4, all_38_3) = all_65_3
% 25.71/7.56 | (87) unorthogonal_lines(all_38_4, all_38_3) = all_65_2
% 25.71/7.56 |
% 25.71/7.56 | DELTA: instantiating (43) with fresh symbols all_67_0, all_67_1, all_67_2,
% 25.71/7.56 | all_67_3 gives:
% 25.71/7.56 | (88) unorthogonal_lines(all_38_4, all_38_3) = all_67_0 &
% 25.71/7.56 | unorthogonal_lines(all_38_4, all_38_3) = all_67_1 &
% 25.71/7.56 | unorthogonal_lines(all_38_4, all_38_4) = all_67_2 &
% 25.71/7.56 | convergent_lines(all_38_4, all_38_4) = all_67_3 & ( ~ (all_67_2 = 0) |
% 25.71/7.56 | ~ (all_67_3 = 0) | all_67_0 = 0 | all_67_1 = 0)
% 25.71/7.56 |
% 25.71/7.56 | ALPHA: (88) implies:
% 25.71/7.56 | (89) convergent_lines(all_38_4, all_38_4) = all_67_3
% 25.71/7.56 | (90) unorthogonal_lines(all_38_4, all_38_4) = all_67_2
% 25.71/7.56 | (91) unorthogonal_lines(all_38_4, all_38_3) = all_67_1
% 25.71/7.56 | (92) unorthogonal_lines(all_38_4, all_38_3) = all_67_0
% 25.71/7.56 |
% 25.71/7.56 | DELTA: instantiating (45) with fresh symbols all_69_0, all_69_1, all_69_2,
% 25.71/7.56 | all_69_3 gives:
% 25.71/7.56 | (93) point(all_69_1) = all_69_0 & line(all_38_3) = all_69_2 &
% 25.71/7.56 | line(all_38_4) = all_69_3 & intersection_point(all_38_4, all_38_3) =
% 25.71/7.56 | all_69_1 & $i(all_69_1) & ( ~ (all_69_2 = 0) | ~ (all_69_3 = 0) |
% 25.71/7.56 | all_69_0 = 0)
% 25.71/7.56 |
% 25.71/7.56 | ALPHA: (93) implies:
% 25.71/7.56 | (94) intersection_point(all_38_4, all_38_3) = all_69_1
% 25.71/7.56 |
% 25.71/7.56 | BETA: splitting (51) gives:
% 25.71/7.56 |
% 25.71/7.56 | Case 1:
% 25.71/7.56 | |
% 25.71/7.56 | | (95) distinct_points(all_38_2, all_38_1) = 0
% 25.71/7.56 | |
% 25.71/7.56 | | GROUND_INST: instantiating (26) with all_63_3, all_67_3, all_38_4, all_38_4,
% 25.71/7.56 | | simplifying with (81), (89) gives:
% 25.71/7.56 | | (96) all_67_3 = all_63_3
% 25.71/7.56 | |
% 25.71/7.56 | | GROUND_INST: instantiating (26) with all_55_1, all_57_1, all_38_3, all_38_4,
% 25.71/7.56 | | simplifying with (68), (72) gives:
% 25.71/7.56 | | (97) all_57_1 = all_55_1
% 25.71/7.56 | |
% 25.71/7.56 | | GROUND_INST: instantiating (26) with 0, all_59_1, all_38_3, all_38_4,
% 25.71/7.56 | | simplifying with (36), (76) gives:
% 25.71/7.56 | | (98) all_59_1 = 0
% 25.71/7.56 | |
% 25.71/7.56 | | GROUND_INST: instantiating (26) with all_57_1, all_59_1, all_38_3, all_38_4,
% 25.71/7.56 | | simplifying with (72), (76) gives:
% 25.71/7.56 | | (99) all_59_1 = all_57_1
% 25.71/7.56 | |
% 25.71/7.56 | | GROUND_INST: instantiating (28) with all_51_1, all_53_1, all_38_3, all_38_4,
% 25.71/7.56 | | simplifying with (63), (66) gives:
% 25.71/7.56 | | (100) all_53_1 = all_51_1
% 25.71/7.56 | |
% 25.71/7.56 | | GROUND_INST: instantiating (28) with all_38_1, all_69_1, all_38_3, all_38_4,
% 25.71/7.56 | | simplifying with (37), (94) gives:
% 25.71/7.56 | | (101) all_69_1 = all_38_1
% 25.71/7.56 | |
% 25.71/7.56 | | GROUND_INST: instantiating (28) with all_53_1, all_69_1, all_38_3, all_38_4,
% 25.71/7.56 | | simplifying with (66), (94) gives:
% 25.71/7.56 | | (102) all_69_1 = all_53_1
% 25.71/7.56 | |
% 25.71/7.56 | | GROUND_INST: instantiating (29) with all_63_2, all_67_2, all_38_4, all_38_4,
% 25.71/7.56 | | simplifying with (82), (90) gives:
% 25.71/7.56 | | (103) all_67_2 = all_63_2
% 25.71/7.56 | |
% 25.71/7.56 | | GROUND_INST: instantiating (29) with all_61_2, all_63_0, all_38_3, all_38_4,
% 25.71/7.56 | | simplifying with (79), (84) gives:
% 25.71/7.56 | | (104) all_63_0 = all_61_2
% 25.71/7.56 | |
% 25.71/7.56 | | GROUND_INST: instantiating (29) with all_63_0, all_65_3, all_38_3, all_38_4,
% 25.71/7.56 | | simplifying with (84), (86) gives:
% 25.71/7.57 | | (105) all_65_3 = all_63_0
% 25.71/7.57 | |
% 25.71/7.57 | | GROUND_INST: instantiating (29) with all_63_1, all_65_3, all_38_3, all_38_4,
% 25.71/7.57 | | simplifying with (83), (86) gives:
% 25.71/7.57 | | (106) all_65_3 = all_63_1
% 25.71/7.57 | |
% 25.71/7.57 | | GROUND_INST: instantiating (29) with all_65_2, all_67_1, all_38_3, all_38_4,
% 25.71/7.57 | | simplifying with (87), (91) gives:
% 25.71/7.57 | | (107) all_67_1 = all_65_2
% 25.71/7.57 | |
% 25.71/7.57 | | GROUND_INST: instantiating (29) with all_65_3, all_67_1, all_38_3, all_38_4,
% 25.71/7.57 | | simplifying with (86), (91) gives:
% 25.71/7.57 | | (108) all_67_1 = all_65_3
% 25.71/7.57 | |
% 25.71/7.57 | | GROUND_INST: instantiating (29) with all_67_1, all_67_0, all_38_3, all_38_4,
% 25.71/7.57 | | simplifying with (91), (92) gives:
% 25.71/7.57 | | (109) all_67_0 = all_67_1
% 25.71/7.57 | |
% 25.71/7.57 | | GROUND_INST: instantiating (29) with all_61_3, all_67_0, all_38_3, all_38_4,
% 25.71/7.57 | | simplifying with (78), (92) gives:
% 25.71/7.57 | | (110) all_67_0 = all_61_3
% 25.71/7.57 | |
% 25.71/7.57 | | COMBINE_EQS: (101), (102) imply:
% 25.71/7.57 | | (111) all_53_1 = all_38_1
% 25.71/7.57 | |
% 25.71/7.57 | | SIMP: (111) implies:
% 25.71/7.57 | | (112) all_53_1 = all_38_1
% 25.71/7.57 | |
% 25.71/7.57 | | COMBINE_EQS: (109), (110) imply:
% 25.71/7.57 | | (113) all_67_1 = all_61_3
% 25.71/7.57 | |
% 25.71/7.57 | | SIMP: (113) implies:
% 25.71/7.57 | | (114) all_67_1 = all_61_3
% 25.71/7.57 | |
% 25.71/7.57 | | COMBINE_EQS: (107), (114) imply:
% 25.71/7.57 | | (115) all_65_2 = all_61_3
% 25.71/7.57 | |
% 25.71/7.57 | | COMBINE_EQS: (107), (108) imply:
% 25.71/7.57 | | (116) all_65_2 = all_65_3
% 25.71/7.57 | |
% 25.71/7.57 | | COMBINE_EQS: (115), (116) imply:
% 25.71/7.57 | | (117) all_65_3 = all_61_3
% 25.71/7.57 | |
% 25.71/7.57 | | SIMP: (117) implies:
% 25.71/7.57 | | (118) all_65_3 = all_61_3
% 25.71/7.57 | |
% 25.71/7.57 | | COMBINE_EQS: (105), (106) imply:
% 25.71/7.57 | | (119) all_63_0 = all_63_1
% 25.71/7.57 | |
% 25.71/7.57 | | SIMP: (119) implies:
% 25.71/7.57 | | (120) all_63_0 = all_63_1
% 25.71/7.57 | |
% 25.71/7.57 | | COMBINE_EQS: (106), (118) imply:
% 25.71/7.57 | | (121) all_63_1 = all_61_3
% 25.71/7.57 | |
% 25.71/7.57 | | COMBINE_EQS: (104), (120) imply:
% 25.71/7.57 | | (122) all_63_1 = all_61_2
% 25.71/7.57 | |
% 25.71/7.57 | | SIMP: (122) implies:
% 25.71/7.57 | | (123) all_63_1 = all_61_2
% 25.71/7.57 | |
% 25.71/7.57 | | COMBINE_EQS: (121), (123) imply:
% 25.71/7.57 | | (124) all_61_2 = all_61_3
% 25.71/7.57 | |
% 25.71/7.57 | | SIMP: (124) implies:
% 25.71/7.57 | | (125) all_61_2 = all_61_3
% 25.71/7.57 | |
% 25.71/7.57 | | COMBINE_EQS: (98), (99) imply:
% 25.71/7.57 | | (126) all_57_1 = 0
% 25.71/7.57 | |
% 25.71/7.57 | | SIMP: (126) implies:
% 25.71/7.57 | | (127) all_57_1 = 0
% 25.71/7.57 | |
% 25.71/7.57 | | COMBINE_EQS: (97), (127) imply:
% 25.71/7.57 | | (128) all_55_1 = 0
% 25.71/7.57 | |
% 25.71/7.57 | | COMBINE_EQS: (100), (112) imply:
% 25.71/7.57 | | (129) all_51_1 = all_38_1
% 25.71/7.57 | |
% 25.71/7.57 | | SIMP: (129) implies:
% 25.71/7.57 | | (130) all_51_1 = all_38_1
% 25.71/7.57 | |
% 25.71/7.57 | | REDUCE: (65), (112) imply:
% 25.71/7.57 | | (131) apart_point_and_line(all_38_1, all_38_3) = all_53_0
% 25.71/7.57 | |
% 25.71/7.57 | | REDUCE: (62), (130) imply:
% 25.71/7.57 | | (132) apart_point_and_line(all_38_1, all_38_4) = all_51_0
% 25.71/7.57 | |
% 25.71/7.57 | | BETA: splitting (70) gives:
% 25.71/7.57 | |
% 25.71/7.57 | | Case 1:
% 25.71/7.57 | | |
% 25.71/7.57 | | | (133) ~ (all_55_0 = 0)
% 25.71/7.57 | | |
% 25.71/7.57 | | | BETA: splitting (74) gives:
% 25.71/7.57 | | |
% 25.71/7.57 | | | Case 1:
% 25.71/7.57 | | | |
% 25.71/7.57 | | | | (134) ~ (all_57_0 = 0)
% 25.71/7.57 | | | |
% 25.71/7.57 | | | | GROUND_INST: instantiating (27) with all_55_0, all_51_0, all_38_4,
% 25.71/7.57 | | | | all_38_1, simplifying with (69), (132) gives:
% 25.71/7.57 | | | | (135) all_55_0 = all_51_0
% 25.71/7.57 | | | |
% 25.71/7.57 | | | | GROUND_INST: instantiating (27) with all_57_0, all_53_0, all_38_3,
% 25.71/7.57 | | | | all_38_1, simplifying with (73), (131) gives:
% 25.71/7.57 | | | | (136) all_57_0 = all_53_0
% 25.71/7.57 | | | |
% 25.71/7.57 | | | | REDUCE: (134), (136) imply:
% 25.71/7.58 | | | | (137) ~ (all_53_0 = 0)
% 25.71/7.58 | | | |
% 25.71/7.58 | | | | REDUCE: (133), (135) imply:
% 25.71/7.58 | | | | (138) ~ (all_51_0 = 0)
% 25.71/7.58 | | | |
% 25.71/7.58 | | | | GROUND_INST: instantiating (9) with all_38_4, all_38_3, all_38_4,
% 25.71/7.58 | | | | all_63_3, simplifying with (32), (33), (36), (81) gives:
% 25.71/7.58 | | | | (139) all_63_3 = 0 | distinct_lines(all_38_3, all_38_4) = 0
% 25.71/7.58 | | | |
% 25.71/7.58 | | | | GROUND_INST: instantiating (10) with all_38_2, all_38_4, all_38_4,
% 25.71/7.58 | | | | all_47_0, all_47_0, simplifying with (32), (34), (59)
% 25.71/7.58 | | | | gives:
% 25.71/7.58 | | | | (140) all_47_0 = 0 | ? [v0: any] : ? [v1: any] :
% 25.71/7.58 | | | | (convergent_lines(all_38_4, all_38_4) = v1 &
% 25.71/7.58 | | | | distinct_lines(all_38_4, all_38_4) = v0 & ( ~ (v0 = 0) | v1 =
% 25.71/7.58 | | | | 0))
% 25.71/7.58 | | | |
% 25.71/7.58 | | | | GROUND_INST: instantiating (7) with all_38_2, all_38_2, all_38_4,
% 25.71/7.58 | | | | all_38_4, all_47_0, all_47_0, simplifying with (32), (34),
% 25.71/7.58 | | | | (59) gives:
% 25.71/7.58 | | | | (141) all_47_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 25.71/7.58 | | | | [v3: any] : (apart_point_and_line(all_38_2, all_38_4) = v3 &
% 25.71/7.58 | | | | apart_point_and_line(all_38_2, all_38_4) = v2 &
% 25.71/7.58 | | | | distinct_lines(all_38_4, all_38_4) = v1 &
% 25.71/7.58 | | | | distinct_points(all_38_2, all_38_2) = v0 & ( ~ (v1 = 0) | ~
% 25.71/7.58 | | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.58 | | | |
% 25.71/7.58 | | | | GROUND_INST: instantiating (7) with all_38_2, all_38_2, all_38_3,
% 25.71/7.58 | | | | all_38_3, all_45_0, all_45_0, simplifying with (33), (34),
% 25.71/7.58 | | | | (56) gives:
% 25.71/7.58 | | | | (142) all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 25.71/7.58 | | | | [v3: any] : (apart_point_and_line(all_38_2, all_38_3) = v3 &
% 25.71/7.58 | | | | apart_point_and_line(all_38_2, all_38_3) = v2 &
% 25.71/7.58 | | | | distinct_lines(all_38_3, all_38_3) = v1 &
% 25.71/7.58 | | | | distinct_points(all_38_2, all_38_2) = v0 & ( ~ (v1 = 0) | ~
% 25.71/7.58 | | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.58 | | | |
% 25.71/7.58 | | | | GROUND_INST: instantiating (5) with all_38_2, all_38_1, all_38_3,
% 25.71/7.58 | | | | all_38_4, all_45_0, all_47_0, simplifying with (32), (33),
% 25.71/7.58 | | | | (34), (35), (56), (59), (95) gives:
% 25.71/7.58 | | | | (143) all_47_0 = 0 | all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.58 | | | | [v2: any] : (apart_point_and_line(all_38_1, all_38_3) = v1 &
% 25.71/7.58 | | | | apart_point_and_line(all_38_1, all_38_4) = v2 &
% 25.71/7.58 | | | | distinct_lines(all_38_3, all_38_4) = v0 & ( ~ (v0 = 0) | v2 =
% 25.71/7.58 | | | | 0 | v1 = 0))
% 25.71/7.58 | | | |
% 25.71/7.58 | | | | GROUND_INST: instantiating (7) with all_38_2, all_38_2, all_38_4,
% 25.71/7.58 | | | | all_38_3, all_47_0, all_45_0, simplifying with (32), (33),
% 25.71/7.58 | | | | (34), (56), (59) gives:
% 25.71/7.58 | | | | (144) all_47_0 = 0 | all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.58 | | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_2,
% 25.71/7.58 | | | | all_38_3) = v2 & apart_point_and_line(all_38_2, all_38_4) =
% 25.71/7.58 | | | | v3 & distinct_lines(all_38_4, all_38_3) = v1 &
% 25.71/7.58 | | | | distinct_points(all_38_2, all_38_2) = v0 & ( ~ (v1 = 0) | ~
% 25.71/7.58 | | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.58 | | | |
% 25.71/7.58 | | | | GROUND_INST: instantiating (7) with all_38_2, all_38_2, all_38_3,
% 25.71/7.58 | | | | all_38_4, all_45_0, all_47_0, simplifying with (32), (33),
% 25.71/7.58 | | | | (34), (56), (59) gives:
% 25.71/7.58 | | | | (145) all_47_0 = 0 | all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.58 | | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_2,
% 25.71/7.58 | | | | all_38_3) = v3 & apart_point_and_line(all_38_2, all_38_4) =
% 25.71/7.58 | | | | v2 & distinct_lines(all_38_3, all_38_4) = v1 &
% 25.71/7.58 | | | | distinct_points(all_38_2, all_38_2) = v0 & ( ~ (v1 = 0) | ~
% 25.71/7.58 | | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.58 | | | |
% 25.71/7.58 | | | | GROUND_INST: instantiating (6) with all_38_2, all_38_2, all_38_3,
% 25.71/7.58 | | | | all_38_4, all_47_0, all_45_0, simplifying with (32), (33),
% 25.71/7.58 | | | | (34), (56), (59) gives:
% 25.71/7.58 | | | | (146) all_47_0 = 0 | all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.58 | | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_2,
% 25.71/7.58 | | | | all_38_3) = v2 & apart_point_and_line(all_38_2, all_38_4) =
% 25.71/7.58 | | | | v3 & distinct_lines(all_38_3, all_38_4) = v1 &
% 25.71/7.58 | | | | distinct_points(all_38_2, all_38_2) = v0 & ( ~ (v1 = 0) | ~
% 25.71/7.58 | | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.58 | | | |
% 25.71/7.59 | | | | GROUND_INST: instantiating (6) with all_38_2, all_38_2, all_38_4,
% 25.71/7.59 | | | | all_38_3, all_45_0, all_47_0, simplifying with (32), (33),
% 25.71/7.59 | | | | (34), (56), (59) gives:
% 25.71/7.59 | | | | (147) all_47_0 = 0 | all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.59 | | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_2,
% 25.71/7.59 | | | | all_38_3) = v3 & apart_point_and_line(all_38_2, all_38_4) =
% 25.71/7.59 | | | | v2 & distinct_lines(all_38_4, all_38_3) = v1 &
% 25.71/7.59 | | | | distinct_points(all_38_2, all_38_2) = v0 & ( ~ (v1 = 0) | ~
% 25.71/7.59 | | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.59 | | | |
% 25.71/7.59 | | | | GROUND_INST: instantiating (8) with all_38_2, all_38_1, all_38_4,
% 25.71/7.59 | | | | all_38_4, all_51_0, all_51_0, simplifying with (32), (34),
% 25.71/7.59 | | | | (35), (95), (132) gives:
% 25.71/7.59 | | | | (148) all_51_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 25.71/7.59 | | | | (apart_point_and_line(all_38_2, all_38_4) = v2 &
% 25.71/7.59 | | | | apart_point_and_line(all_38_2, all_38_4) = v1 &
% 25.71/7.59 | | | | distinct_lines(all_38_4, all_38_4) = v0 & ( ~ (v0 = 0) | v2 =
% 25.71/7.59 | | | | 0 | v1 = 0))
% 25.71/7.59 | | | |
% 25.71/7.59 | | | | GROUND_INST: instantiating (7) with all_38_2, all_38_1, all_38_3,
% 25.71/7.59 | | | | all_38_4, all_45_0, all_51_0, simplifying with (32), (33),
% 25.71/7.59 | | | | (34), (35), (56), (132) gives:
% 25.71/7.59 | | | | (149) all_51_0 = 0 | all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.59 | | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_1,
% 25.71/7.59 | | | | all_38_3) = v3 & apart_point_and_line(all_38_2, all_38_4) =
% 25.71/7.59 | | | | v2 & distinct_lines(all_38_3, all_38_4) = v1 &
% 25.71/7.59 | | | | distinct_points(all_38_2, all_38_1) = v0 & ( ~ (v1 = 0) | ~
% 25.71/7.59 | | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.59 | | | |
% 25.71/7.59 | | | | GROUND_INST: instantiating (7) with all_38_1, all_38_2, all_38_4,
% 25.71/7.59 | | | | all_38_3, all_51_0, all_45_0, simplifying with (32), (33),
% 25.71/7.59 | | | | (34), (35), (56), (132) gives:
% 25.71/7.59 | | | | (150) all_51_0 = 0 | all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.59 | | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_1,
% 25.71/7.59 | | | | all_38_3) = v2 & apart_point_and_line(all_38_2, all_38_4) =
% 25.71/7.59 | | | | v3 & distinct_lines(all_38_4, all_38_3) = v1 &
% 25.71/7.59 | | | | distinct_points(all_38_1, all_38_2) = v0 & ( ~ (v1 = 0) | ~
% 25.71/7.59 | | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.59 | | | |
% 25.71/7.59 | | | | GROUND_INST: instantiating (6) with all_38_2, all_38_1, all_38_4,
% 25.71/7.59 | | | | all_38_3, all_45_0, all_51_0, simplifying with (32), (33),
% 25.71/7.59 | | | | (34), (35), (56), (132) gives:
% 25.71/7.59 | | | | (151) all_51_0 = 0 | all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.59 | | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_1,
% 25.71/7.59 | | | | all_38_3) = v3 & apart_point_and_line(all_38_2, all_38_4) =
% 25.71/7.59 | | | | v2 & distinct_lines(all_38_4, all_38_3) = v1 &
% 25.71/7.59 | | | | distinct_points(all_38_2, all_38_1) = v0 & ( ~ (v1 = 0) | ~
% 25.71/7.59 | | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.59 | | | |
% 25.71/7.59 | | | | GROUND_INST: instantiating (6) with all_38_1, all_38_2, all_38_3,
% 25.71/7.59 | | | | all_38_4, all_51_0, all_45_0, simplifying with (32), (33),
% 25.71/7.59 | | | | (34), (35), (56), (132) gives:
% 25.71/7.59 | | | | (152) all_51_0 = 0 | all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.59 | | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_1,
% 25.71/7.59 | | | | all_38_3) = v2 & apart_point_and_line(all_38_2, all_38_4) =
% 25.71/7.59 | | | | v3 & distinct_lines(all_38_3, all_38_4) = v1 &
% 25.71/7.59 | | | | distinct_points(all_38_1, all_38_2) = v0 & ( ~ (v1 = 0) | ~
% 25.71/7.59 | | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.59 | | | |
% 25.71/7.59 | | | | GROUND_INST: instantiating (7) with all_38_1, all_38_2, all_38_4,
% 25.71/7.59 | | | | all_38_4, all_51_0, all_47_0, simplifying with (32), (34),
% 25.71/7.59 | | | | (35), (59), (132) gives:
% 25.71/7.59 | | | | (153) all_51_0 = 0 | all_47_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.59 | | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_1,
% 25.71/7.59 | | | | all_38_4) = v2 & apart_point_and_line(all_38_2, all_38_4) =
% 25.71/7.59 | | | | v3 & distinct_lines(all_38_4, all_38_4) = v1 &
% 25.71/7.59 | | | | distinct_points(all_38_1, all_38_2) = v0 & ( ~ (v1 = 0) | ~
% 25.71/7.59 | | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.59 | | | |
% 25.71/7.59 | | | | GROUND_INST: instantiating (8) with all_38_2, all_38_1, all_38_3,
% 25.71/7.59 | | | | all_38_3, all_53_0, all_53_0, simplifying with (33), (34),
% 25.71/7.59 | | | | (35), (95), (131) gives:
% 25.71/7.59 | | | | (154) all_53_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 25.71/7.59 | | | | (apart_point_and_line(all_38_2, all_38_3) = v2 &
% 25.71/7.59 | | | | apart_point_and_line(all_38_2, all_38_3) = v1 &
% 25.71/7.59 | | | | distinct_lines(all_38_3, all_38_3) = v0 & ( ~ (v0 = 0) | v2 =
% 25.71/7.60 | | | | 0 | v1 = 0))
% 25.71/7.60 | | | |
% 25.71/7.60 | | | | GROUND_INST: instantiating (8) with all_38_2, all_38_1, all_38_4,
% 25.71/7.60 | | | | all_38_3, all_51_0, all_53_0, simplifying with (32), (33),
% 25.71/7.60 | | | | (34), (35), (95), (131), (132) gives:
% 25.71/7.60 | | | | (155) all_53_0 = 0 | all_51_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.60 | | | | [v2: any] : (apart_point_and_line(all_38_2, all_38_3) = v2 &
% 25.71/7.60 | | | | apart_point_and_line(all_38_2, all_38_4) = v1 &
% 25.71/7.60 | | | | distinct_lines(all_38_4, all_38_3) = v0 & ( ~ (v0 = 0) | v2 =
% 25.71/7.60 | | | | 0 | v1 = 0))
% 25.71/7.60 | | | |
% 25.71/7.60 | | | | GROUND_INST: instantiating (8) with all_38_2, all_38_1, all_38_3,
% 25.71/7.60 | | | | all_38_4, all_53_0, all_51_0, simplifying with (32), (33),
% 25.71/7.60 | | | | (34), (35), (95), (131), (132) gives:
% 25.71/7.60 | | | | (156) all_53_0 = 0 | all_51_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.60 | | | | [v2: any] : (apart_point_and_line(all_38_2, all_38_3) = v1 &
% 25.71/7.60 | | | | apart_point_and_line(all_38_2, all_38_4) = v2 &
% 25.71/7.60 | | | | distinct_lines(all_38_3, all_38_4) = v0 & ( ~ (v0 = 0) | v2 =
% 25.71/7.60 | | | | 0 | v1 = 0))
% 25.71/7.60 | | | |
% 25.71/7.60 | | | | GROUND_INST: instantiating (10) with all_38_1, all_38_3, all_38_4,
% 25.71/7.60 | | | | all_53_0, all_51_0, simplifying with (32), (33), (35),
% 25.71/7.60 | | | | (131), (132) gives:
% 25.71/7.60 | | | | (157) all_53_0 = 0 | all_51_0 = 0 | ? [v0: any] : ? [v1: any] :
% 25.71/7.60 | | | | (convergent_lines(all_38_3, all_38_4) = v1 &
% 25.71/7.60 | | | | distinct_lines(all_38_3, all_38_4) = v0 & ( ~ (v0 = 0) | v1 =
% 25.71/7.60 | | | | 0))
% 25.71/7.60 | | | |
% 25.71/7.60 | | | | GROUND_INST: instantiating (7) with all_38_1, all_38_1, all_38_3,
% 25.71/7.60 | | | | all_38_4, all_53_0, all_51_0, simplifying with (32), (33),
% 25.71/7.60 | | | | (35), (131), (132) gives:
% 25.71/7.60 | | | | (158) all_53_0 = 0 | all_51_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.60 | | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_1,
% 25.71/7.60 | | | | all_38_3) = v3 & apart_point_and_line(all_38_1, all_38_4) =
% 25.71/7.60 | | | | v2 & distinct_lines(all_38_3, all_38_4) = v1 &
% 25.71/7.60 | | | | distinct_points(all_38_1, all_38_1) = v0 & ( ~ (v1 = 0) | ~
% 25.71/7.60 | | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.60 | | | |
% 25.71/7.60 | | | | GROUND_INST: instantiating (6) with all_38_1, all_38_1, all_38_3,
% 25.71/7.60 | | | | all_38_4, all_51_0, all_53_0, simplifying with (32), (33),
% 25.71/7.60 | | | | (35), (131), (132) gives:
% 25.71/7.60 | | | | (159) all_53_0 = 0 | all_51_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.60 | | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_1,
% 25.71/7.60 | | | | all_38_3) = v2 & apart_point_and_line(all_38_1, all_38_4) =
% 25.71/7.60 | | | | v3 & distinct_lines(all_38_3, all_38_4) = v1 &
% 25.71/7.60 | | | | distinct_points(all_38_1, all_38_1) = v0 & ( ~ (v1 = 0) | ~
% 25.71/7.60 | | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.60 | | | |
% 25.71/7.60 | | | | GROUND_INST: instantiating (7) with all_38_1, all_38_2, all_38_3,
% 25.71/7.60 | | | | all_38_3, all_53_0, all_45_0, simplifying with (33), (34),
% 25.71/7.60 | | | | (35), (56), (131) gives:
% 25.71/7.60 | | | | (160) all_53_0 = 0 | all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.60 | | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_1,
% 25.71/7.60 | | | | all_38_3) = v2 & apart_point_and_line(all_38_2, all_38_3) =
% 25.71/7.60 | | | | v3 & distinct_lines(all_38_3, all_38_3) = v1 &
% 25.71/7.60 | | | | distinct_points(all_38_1, all_38_2) = v0 & ( ~ (v1 = 0) | ~
% 25.71/7.60 | | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.60 | | | |
% 25.71/7.60 | | | | GROUND_INST: instantiating (7) with all_38_2, all_38_1, all_38_4,
% 25.71/7.60 | | | | all_38_3, all_47_0, all_53_0, simplifying with (32), (33),
% 25.71/7.60 | | | | (34), (35), (59), (131) gives:
% 25.71/7.60 | | | | (161) all_53_0 = 0 | all_47_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.60 | | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_1,
% 25.71/7.60 | | | | all_38_4) = v3 & apart_point_and_line(all_38_2, all_38_3) =
% 25.71/7.60 | | | | v2 & distinct_lines(all_38_4, all_38_3) = v1 &
% 25.71/7.60 | | | | distinct_points(all_38_2, all_38_1) = v0 & ( ~ (v1 = 0) | ~
% 25.71/7.60 | | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.60 | | | |
% 25.71/7.60 | | | | GROUND_INST: instantiating (7) with all_38_1, all_38_2, all_38_3,
% 25.71/7.60 | | | | all_38_4, all_53_0, all_47_0, simplifying with (32), (33),
% 25.71/7.60 | | | | (34), (35), (59), (131) gives:
% 25.71/7.60 | | | | (162) all_53_0 = 0 | all_47_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.60 | | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_1,
% 25.71/7.60 | | | | all_38_4) = v2 & apart_point_and_line(all_38_2, all_38_3) =
% 25.71/7.61 | | | | v3 & distinct_lines(all_38_3, all_38_4) = v1 &
% 25.71/7.61 | | | | distinct_points(all_38_1, all_38_2) = v0 & ( ~ (v1 = 0) | ~
% 25.71/7.61 | | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.61 | | | |
% 25.71/7.61 | | | | GROUND_INST: instantiating (6) with all_38_2, all_38_1, all_38_3,
% 25.71/7.61 | | | | all_38_4, all_47_0, all_53_0, simplifying with (32), (33),
% 25.71/7.61 | | | | (34), (35), (59), (131) gives:
% 25.71/7.61 | | | | (163) all_53_0 = 0 | all_47_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.61 | | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_1,
% 25.71/7.61 | | | | all_38_4) = v3 & apart_point_and_line(all_38_2, all_38_3) =
% 25.71/7.61 | | | | v2 & distinct_lines(all_38_3, all_38_4) = v1 &
% 25.71/7.61 | | | | distinct_points(all_38_2, all_38_1) = v0 & ( ~ (v1 = 0) | ~
% 25.71/7.61 | | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.61 | | | |
% 25.71/7.61 | | | | GROUND_INST: instantiating (6) with all_38_1, all_38_2, all_38_4,
% 25.71/7.61 | | | | all_38_3, all_53_0, all_47_0, simplifying with (32), (33),
% 25.71/7.61 | | | | (34), (35), (59), (131) gives:
% 25.71/7.61 | | | | (164) all_53_0 = 0 | all_47_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.61 | | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_1,
% 25.71/7.61 | | | | all_38_4) = v2 & apart_point_and_line(all_38_2, all_38_3) =
% 25.71/7.61 | | | | v3 & distinct_lines(all_38_4, all_38_3) = v1 &
% 25.71/7.61 | | | | distinct_points(all_38_1, all_38_2) = v0 & ( ~ (v1 = 0) | ~
% 25.71/7.61 | | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.61 | | | |
% 25.71/7.61 | | | | GROUND_INST: instantiating (12) with all_38_4, all_38_3, all_38_4,
% 25.71/7.61 | | | | all_63_2, simplifying with (32), (33), (36), (82) gives:
% 25.71/7.61 | | | | (165) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 25.71/7.61 | | | | (unorthogonal_lines(all_38_3, all_38_4) = v3 &
% 25.71/7.61 | | | | unorthogonal_lines(all_38_4, all_38_3) = v0 &
% 25.71/7.61 | | | | convergent_lines(all_38_3, all_38_4) = v2 &
% 25.71/7.61 | | | | convergent_lines(all_38_4, all_38_4) = v1 & ( ~ (v0 = 0) |
% 25.71/7.61 | | | | (v3 = 0 & v2 = 0) | (v1 = 0 & all_63_2 = 0)))
% 25.71/7.61 | | | |
% 25.71/7.61 | | | | GROUND_INST: instantiating (19) with all_38_4, all_38_3, all_38_4, 0,
% 25.71/7.61 | | | | all_63_2, simplifying with (32), (33), (36), (82) gives:
% 25.71/7.61 | | | | (166) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 25.71/7.61 | | | | (unorthogonal_lines(all_38_3, all_38_4) = v3 &
% 25.71/7.61 | | | | unorthogonal_lines(all_38_4, all_38_3) = v0 &
% 25.71/7.61 | | | | convergent_lines(all_38_3, all_38_4) = v2 &
% 25.71/7.61 | | | | convergent_lines(all_38_4, all_38_4) = v1 & ( ~ (v3 = 0) | ~
% 25.71/7.61 | | | | (v2 = 0) | v0 = 0 | (v1 = 0 & all_63_2 = 0)))
% 25.71/7.61 | | | |
% 25.71/7.61 | | | | GROUND_INST: instantiating (16) with all_38_4, all_38_4, all_38_3,
% 25.71/7.61 | | | | all_61_3, all_61_3, simplifying with (32), (33), (78)
% 25.71/7.61 | | | | gives:
% 25.71/7.61 | | | | (167) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 25.71/7.61 | | | | (unorthogonal_lines(all_38_4, all_38_4) = v1 &
% 25.71/7.61 | | | | convergent_lines(all_38_4, all_38_3) = v3 &
% 25.71/7.61 | | | | convergent_lines(all_38_4, all_38_3) = v2 &
% 25.71/7.61 | | | | convergent_lines(all_38_4, all_38_4) = v0 & ( ~ (v1 = 0) | ~
% 25.71/7.61 | | | | (v0 = 0) | (v3 = 0 & all_61_3 = 0) | (v2 = 0 & all_61_3 =
% 25.71/7.61 | | | | 0)))
% 25.71/7.61 | | | |
% 25.71/7.61 | | | | GROUND_INST: instantiating (20) with all_38_4, all_38_3, all_38_4,
% 25.71/7.61 | | | | all_61_3, all_63_2, simplifying with (32), (33), (78), (82)
% 25.71/7.61 | | | | gives:
% 25.71/7.61 | | | | (168) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 25.71/7.61 | | | | (unorthogonal_lines(all_38_3, all_38_4) = v3 &
% 25.71/7.61 | | | | convergent_lines(all_38_3, all_38_4) = v2 &
% 25.71/7.61 | | | | convergent_lines(all_38_4, all_38_3) = v0 &
% 25.71/7.61 | | | | convergent_lines(all_38_4, all_38_4) = v1 & ( ~ (v3 = 0) | ~
% 25.71/7.61 | | | | (v2 = 0) | (v1 = 0 & all_63_2 = 0) | (v0 = 0 & all_61_3 =
% 25.71/7.61 | | | | 0)))
% 25.71/7.61 | | | |
% 25.71/7.61 | | | | GROUND_INST: instantiating (15) with all_38_4, all_38_4, all_38_3, 0,
% 25.71/7.61 | | | | all_61_3, simplifying with (32), (33), (36), (78) gives:
% 25.71/7.61 | | | | (169) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 25.71/7.61 | | | | (unorthogonal_lines(all_38_4, all_38_3) = v2 &
% 25.71/7.61 | | | | unorthogonal_lines(all_38_4, all_38_4) = v1 &
% 25.71/7.61 | | | | convergent_lines(all_38_4, all_38_3) = v3 &
% 25.71/7.61 | | | | convergent_lines(all_38_4, all_38_4) = v0 & ( ~ (v1 = 0) | ~
% 25.71/7.61 | | | | (v0 = 0) | v2 = 0 | (v3 = 0 & all_61_3 = 0)))
% 25.71/7.61 | | | |
% 25.71/7.61 | | | | GROUND_INST: instantiating (14) with all_38_4, all_38_4, all_38_3,
% 25.71/7.61 | | | | all_61_3, 0, simplifying with (32), (33), (36), (78) gives:
% 25.71/7.61 | | | | (170) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 25.71/7.61 | | | | (unorthogonal_lines(all_38_4, all_38_3) = v3 &
% 25.71/7.61 | | | | unorthogonal_lines(all_38_4, all_38_4) = v1 &
% 25.71/7.61 | | | | convergent_lines(all_38_4, all_38_3) = v2 &
% 25.71/7.61 | | | | convergent_lines(all_38_4, all_38_4) = v0 & ( ~ (v1 = 0) | ~
% 25.71/7.62 | | | | (v0 = 0) | v3 = 0 | (v2 = 0 & all_61_3 = 0)))
% 25.71/7.62 | | | |
% 25.71/7.62 | | | | DELTA: instantiating (170) with fresh symbols all_118_0, all_118_1,
% 25.71/7.62 | | | | all_118_2, all_118_3 gives:
% 25.71/7.62 | | | | (171) unorthogonal_lines(all_38_4, all_38_3) = all_118_0 &
% 25.71/7.62 | | | | unorthogonal_lines(all_38_4, all_38_4) = all_118_2 &
% 25.71/7.62 | | | | convergent_lines(all_38_4, all_38_3) = all_118_1 &
% 25.71/7.62 | | | | convergent_lines(all_38_4, all_38_4) = all_118_3 & ( ~
% 25.71/7.62 | | | | (all_118_2 = 0) | ~ (all_118_3 = 0) | all_118_0 = 0 |
% 25.71/7.62 | | | | (all_118_1 = 0 & all_61_3 = 0))
% 25.71/7.62 | | | |
% 25.71/7.62 | | | | ALPHA: (171) implies:
% 25.71/7.62 | | | | (172) convergent_lines(all_38_4, all_38_4) = all_118_3
% 25.71/7.62 | | | |
% 25.71/7.62 | | | | DELTA: instantiating (169) with fresh symbols all_120_0, all_120_1,
% 25.71/7.62 | | | | all_120_2, all_120_3 gives:
% 25.71/7.62 | | | | (173) unorthogonal_lines(all_38_4, all_38_3) = all_120_1 &
% 25.71/7.62 | | | | unorthogonal_lines(all_38_4, all_38_4) = all_120_2 &
% 25.71/7.62 | | | | convergent_lines(all_38_4, all_38_3) = all_120_0 &
% 25.71/7.62 | | | | convergent_lines(all_38_4, all_38_4) = all_120_3 & ( ~
% 25.71/7.62 | | | | (all_120_2 = 0) | ~ (all_120_3 = 0) | all_120_1 = 0 |
% 25.71/7.62 | | | | (all_120_0 = 0 & all_61_3 = 0))
% 25.71/7.62 | | | |
% 25.71/7.62 | | | | ALPHA: (173) implies:
% 25.71/7.62 | | | | (174) convergent_lines(all_38_4, all_38_4) = all_120_3
% 25.71/7.62 | | | |
% 25.71/7.62 | | | | DELTA: instantiating (166) with fresh symbols all_122_0, all_122_1,
% 25.71/7.62 | | | | all_122_2, all_122_3 gives:
% 25.71/7.62 | | | | (175) unorthogonal_lines(all_38_3, all_38_4) = all_122_0 &
% 25.71/7.62 | | | | unorthogonal_lines(all_38_4, all_38_3) = all_122_3 &
% 25.71/7.62 | | | | convergent_lines(all_38_3, all_38_4) = all_122_1 &
% 25.71/7.62 | | | | convergent_lines(all_38_4, all_38_4) = all_122_2 & ( ~
% 25.71/7.62 | | | | (all_122_0 = 0) | ~ (all_122_1 = 0) | all_122_3 = 0 |
% 25.71/7.62 | | | | (all_122_2 = 0 & all_63_2 = 0))
% 25.71/7.62 | | | |
% 25.71/7.62 | | | | ALPHA: (175) implies:
% 25.71/7.62 | | | | (176) convergent_lines(all_38_4, all_38_4) = all_122_2
% 25.71/7.62 | | | |
% 25.71/7.62 | | | | DELTA: instantiating (165) with fresh symbols all_124_0, all_124_1,
% 25.71/7.62 | | | | all_124_2, all_124_3 gives:
% 25.71/7.62 | | | | (177) unorthogonal_lines(all_38_3, all_38_4) = all_124_0 &
% 25.71/7.62 | | | | unorthogonal_lines(all_38_4, all_38_3) = all_124_3 &
% 25.71/7.62 | | | | convergent_lines(all_38_3, all_38_4) = all_124_1 &
% 25.71/7.62 | | | | convergent_lines(all_38_4, all_38_4) = all_124_2 & ( ~
% 25.71/7.62 | | | | (all_124_3 = 0) | (all_124_0 = 0 & all_124_1 = 0) |
% 25.71/7.62 | | | | (all_124_2 = 0 & all_63_2 = 0))
% 25.71/7.62 | | | |
% 25.71/7.62 | | | | ALPHA: (177) implies:
% 25.71/7.62 | | | | (178) convergent_lines(all_38_4, all_38_4) = all_124_2
% 25.71/7.62 | | | |
% 25.71/7.62 | | | | DELTA: instantiating (167) with fresh symbols all_130_0, all_130_1,
% 25.71/7.62 | | | | all_130_2, all_130_3 gives:
% 25.71/7.62 | | | | (179) unorthogonal_lines(all_38_4, all_38_4) = all_130_2 &
% 25.71/7.62 | | | | convergent_lines(all_38_4, all_38_3) = all_130_0 &
% 25.71/7.62 | | | | convergent_lines(all_38_4, all_38_3) = all_130_1 &
% 25.71/7.62 | | | | convergent_lines(all_38_4, all_38_4) = all_130_3 & ( ~
% 25.71/7.62 | | | | (all_130_2 = 0) | ~ (all_130_3 = 0) | (all_130_0 = 0 &
% 25.71/7.62 | | | | all_61_3 = 0) | (all_130_1 = 0 & all_61_3 = 0))
% 25.71/7.62 | | | |
% 25.71/7.62 | | | | ALPHA: (179) implies:
% 25.71/7.62 | | | | (180) convergent_lines(all_38_4, all_38_4) = all_130_3
% 25.71/7.62 | | | |
% 25.71/7.62 | | | | DELTA: instantiating (168) with fresh symbols all_132_0, all_132_1,
% 25.71/7.62 | | | | all_132_2, all_132_3 gives:
% 25.71/7.62 | | | | (181) unorthogonal_lines(all_38_3, all_38_4) = all_132_0 &
% 25.71/7.62 | | | | convergent_lines(all_38_3, all_38_4) = all_132_1 &
% 25.71/7.62 | | | | convergent_lines(all_38_4, all_38_3) = all_132_3 &
% 25.71/7.62 | | | | convergent_lines(all_38_4, all_38_4) = all_132_2 & ( ~
% 25.71/7.62 | | | | (all_132_0 = 0) | ~ (all_132_1 = 0) | (all_132_2 = 0 &
% 25.71/7.62 | | | | all_63_2 = 0) | (all_132_3 = 0 & all_61_3 = 0))
% 25.71/7.62 | | | |
% 25.71/7.62 | | | | ALPHA: (181) implies:
% 25.71/7.62 | | | | (182) convergent_lines(all_38_4, all_38_4) = all_132_2
% 25.71/7.62 | | | |
% 25.71/7.62 | | | | BETA: splitting (140) gives:
% 25.71/7.62 | | | |
% 25.71/7.62 | | | | Case 1:
% 25.71/7.62 | | | | |
% 25.71/7.62 | | | | | (183) all_47_0 = 0
% 25.71/7.62 | | | | |
% 25.71/7.62 | | | | | REDUCE: (58), (183) imply:
% 25.71/7.62 | | | | | (184) $false
% 25.71/7.62 | | | | |
% 25.71/7.62 | | | | | CLOSE: (184) is inconsistent.
% 25.71/7.62 | | | | |
% 25.71/7.62 | | | | Case 2:
% 25.71/7.62 | | | | |
% 25.71/7.62 | | | | | (185) ? [v0: any] : ? [v1: any] : (convergent_lines(all_38_4,
% 25.71/7.62 | | | | | all_38_4) = v1 & distinct_lines(all_38_4, all_38_4) = v0
% 25.71/7.62 | | | | | & ( ~ (v0 = 0) | v1 = 0))
% 25.71/7.62 | | | | |
% 25.71/7.62 | | | | | DELTA: instantiating (185) with fresh symbols all_160_0, all_160_1
% 25.71/7.62 | | | | | gives:
% 25.71/7.62 | | | | | (186) convergent_lines(all_38_4, all_38_4) = all_160_0 &
% 25.71/7.62 | | | | | distinct_lines(all_38_4, all_38_4) = all_160_1 & ( ~
% 25.71/7.62 | | | | | (all_160_1 = 0) | all_160_0 = 0)
% 25.71/7.62 | | | | |
% 25.71/7.62 | | | | | ALPHA: (186) implies:
% 25.71/7.62 | | | | | (187) convergent_lines(all_38_4, all_38_4) = all_160_0
% 25.71/7.62 | | | | |
% 25.71/7.62 | | | | | BETA: splitting (154) gives:
% 25.71/7.62 | | | | |
% 25.71/7.62 | | | | | Case 1:
% 25.71/7.62 | | | | | |
% 25.71/7.63 | | | | | | (188) all_53_0 = 0
% 25.71/7.63 | | | | | |
% 25.71/7.63 | | | | | | REDUCE: (137), (188) imply:
% 25.71/7.63 | | | | | | (189) $false
% 25.71/7.63 | | | | | |
% 25.71/7.63 | | | | | | CLOSE: (189) is inconsistent.
% 25.71/7.63 | | | | | |
% 25.71/7.63 | | | | | Case 2:
% 25.71/7.63 | | | | | |
% 25.71/7.63 | | | | | | (190) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 25.71/7.63 | | | | | | (apart_point_and_line(all_38_2, all_38_3) = v2 &
% 25.71/7.63 | | | | | | apart_point_and_line(all_38_2, all_38_3) = v1 &
% 25.71/7.63 | | | | | | distinct_lines(all_38_3, all_38_3) = v0 & ( ~ (v0 = 0) |
% 25.71/7.63 | | | | | | v2 = 0 | v1 = 0))
% 25.71/7.63 | | | | | |
% 25.71/7.63 | | | | | | DELTA: instantiating (190) with fresh symbols all_175_0, all_175_1,
% 25.71/7.63 | | | | | | all_175_2 gives:
% 25.71/7.63 | | | | | | (191) apart_point_and_line(all_38_2, all_38_3) = all_175_0 &
% 25.71/7.63 | | | | | | apart_point_and_line(all_38_2, all_38_3) = all_175_1 &
% 25.71/7.63 | | | | | | distinct_lines(all_38_3, all_38_3) = all_175_2 & ( ~
% 25.71/7.63 | | | | | | (all_175_2 = 0) | all_175_0 = 0 | all_175_1 = 0)
% 25.71/7.63 | | | | | |
% 25.71/7.63 | | | | | | ALPHA: (191) implies:
% 25.71/7.63 | | | | | | (192) apart_point_and_line(all_38_2, all_38_3) = all_175_1
% 25.71/7.63 | | | | | | (193) apart_point_and_line(all_38_2, all_38_3) = all_175_0
% 25.71/7.63 | | | | | |
% 25.71/7.63 | | | | | | DELTA: instantiating (185) with fresh symbols all_180_0, all_180_1
% 25.71/7.63 | | | | | | gives:
% 25.71/7.63 | | | | | | (194) convergent_lines(all_38_4, all_38_4) = all_180_0 &
% 25.71/7.63 | | | | | | distinct_lines(all_38_4, all_38_4) = all_180_1 & ( ~
% 25.71/7.63 | | | | | | (all_180_1 = 0) | all_180_0 = 0)
% 25.71/7.63 | | | | | |
% 25.71/7.63 | | | | | | ALPHA: (194) implies:
% 25.71/7.63 | | | | | | (195) convergent_lines(all_38_4, all_38_4) = all_180_0
% 25.71/7.63 | | | | | |
% 25.71/7.63 | | | | | | BETA: splitting (148) gives:
% 25.71/7.63 | | | | | |
% 25.71/7.63 | | | | | | Case 1:
% 25.71/7.63 | | | | | | |
% 25.71/7.63 | | | | | | | (196) all_51_0 = 0
% 25.71/7.63 | | | | | | |
% 25.71/7.63 | | | | | | | REDUCE: (138), (196) imply:
% 25.71/7.63 | | | | | | | (197) $false
% 25.71/7.63 | | | | | | |
% 25.71/7.63 | | | | | | | CLOSE: (197) is inconsistent.
% 25.71/7.63 | | | | | | |
% 25.71/7.63 | | | | | | Case 2:
% 25.71/7.63 | | | | | | |
% 25.71/7.63 | | | | | | | (198) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 25.71/7.63 | | | | | | | (apart_point_and_line(all_38_2, all_38_4) = v2 &
% 25.71/7.63 | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v1 &
% 25.71/7.63 | | | | | | | distinct_lines(all_38_4, all_38_4) = v0 & ( ~ (v0 = 0)
% 25.71/7.63 | | | | | | | | v2 = 0 | v1 = 0))
% 25.71/7.63 | | | | | | |
% 25.71/7.63 | | | | | | | DELTA: instantiating (198) with fresh symbols all_185_0,
% 25.71/7.63 | | | | | | | all_185_1, all_185_2 gives:
% 25.71/7.63 | | | | | | | (199) apart_point_and_line(all_38_2, all_38_4) = all_185_0 &
% 25.71/7.63 | | | | | | | apart_point_and_line(all_38_2, all_38_4) = all_185_1 &
% 25.71/7.63 | | | | | | | distinct_lines(all_38_4, all_38_4) = all_185_2 & ( ~
% 25.71/7.63 | | | | | | | (all_185_2 = 0) | all_185_0 = 0 | all_185_1 = 0)
% 25.71/7.63 | | | | | | |
% 25.71/7.63 | | | | | | | ALPHA: (199) implies:
% 25.71/7.63 | | | | | | | (200) apart_point_and_line(all_38_2, all_38_4) = all_185_1
% 25.71/7.63 | | | | | | | (201) apart_point_and_line(all_38_2, all_38_4) = all_185_0
% 25.71/7.63 | | | | | | |
% 25.71/7.63 | | | | | | | BETA: splitting (141) gives:
% 25.71/7.63 | | | | | | |
% 25.71/7.63 | | | | | | | Case 1:
% 25.71/7.63 | | | | | | | |
% 25.71/7.63 | | | | | | | | (202) all_47_0 = 0
% 25.71/7.63 | | | | | | | |
% 25.71/7.63 | | | | | | | | REDUCE: (58), (202) imply:
% 25.71/7.63 | | | | | | | | (203) $false
% 25.71/7.63 | | | | | | | |
% 25.71/7.63 | | | | | | | | CLOSE: (203) is inconsistent.
% 25.71/7.63 | | | | | | | |
% 25.71/7.63 | | | | | | | Case 2:
% 25.71/7.63 | | | | | | | |
% 25.71/7.63 | | | | | | | | (204) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3:
% 25.71/7.63 | | | | | | | | any] : (apart_point_and_line(all_38_2, all_38_4) = v3
% 25.71/7.63 | | | | | | | | & apart_point_and_line(all_38_2, all_38_4) = v2 &
% 25.71/7.63 | | | | | | | | distinct_lines(all_38_4, all_38_4) = v1 &
% 25.71/7.63 | | | | | | | | distinct_points(all_38_2, all_38_2) = v0 & ( ~ (v1 =
% 25.71/7.63 | | | | | | | | 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.63 | | | | | | | |
% 25.71/7.63 | | | | | | | | DELTA: instantiating (204) with fresh symbols all_190_0,
% 25.71/7.63 | | | | | | | | all_190_1, all_190_2, all_190_3 gives:
% 25.71/7.63 | | | | | | | | (205) apart_point_and_line(all_38_2, all_38_4) = all_190_0 &
% 25.71/7.63 | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = all_190_1 &
% 25.71/7.63 | | | | | | | | distinct_lines(all_38_4, all_38_4) = all_190_2 &
% 25.71/7.63 | | | | | | | | distinct_points(all_38_2, all_38_2) = all_190_3 & ( ~
% 25.71/7.63 | | | | | | | | (all_190_2 = 0) | ~ (all_190_3 = 0) | all_190_0 = 0
% 25.71/7.63 | | | | | | | | | all_190_1 = 0)
% 25.71/7.63 | | | | | | | |
% 25.71/7.63 | | | | | | | | ALPHA: (205) implies:
% 25.71/7.63 | | | | | | | | (206) apart_point_and_line(all_38_2, all_38_4) = all_190_1
% 25.71/7.63 | | | | | | | | (207) apart_point_and_line(all_38_2, all_38_4) = all_190_0
% 25.71/7.63 | | | | | | | |
% 25.71/7.63 | | | | | | | | BETA: splitting (142) gives:
% 25.71/7.63 | | | | | | | |
% 25.71/7.63 | | | | | | | | Case 1:
% 25.71/7.63 | | | | | | | | |
% 25.71/7.63 | | | | | | | | | (208) all_45_0 = 0
% 25.71/7.63 | | | | | | | | |
% 25.71/7.63 | | | | | | | | | REDUCE: (55), (208) imply:
% 25.71/7.63 | | | | | | | | | (209) $false
% 25.71/7.63 | | | | | | | | |
% 25.71/7.63 | | | | | | | | | CLOSE: (209) is inconsistent.
% 25.71/7.63 | | | | | | | | |
% 25.71/7.63 | | | | | | | | Case 2:
% 25.71/7.63 | | | | | | | | |
% 25.71/7.64 | | | | | | | | | (210) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3:
% 25.71/7.64 | | | | | | | | | any] : (apart_point_and_line(all_38_2, all_38_3) =
% 25.71/7.64 | | | | | | | | | v3 & apart_point_and_line(all_38_2, all_38_3) = v2
% 25.71/7.64 | | | | | | | | | & distinct_lines(all_38_3, all_38_3) = v1 &
% 25.71/7.64 | | | | | | | | | distinct_points(all_38_2, all_38_2) = v0 & ( ~ (v1
% 25.71/7.64 | | | | | | | | | = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.64 | | | | | | | | |
% 25.71/7.64 | | | | | | | | | DELTA: instantiating (210) with fresh symbols all_200_0,
% 25.71/7.64 | | | | | | | | | all_200_1, all_200_2, all_200_3 gives:
% 25.71/7.64 | | | | | | | | | (211) apart_point_and_line(all_38_2, all_38_3) = all_200_0
% 25.71/7.64 | | | | | | | | | & apart_point_and_line(all_38_2, all_38_3) =
% 25.71/7.64 | | | | | | | | | all_200_1 & distinct_lines(all_38_3, all_38_3) =
% 25.71/7.64 | | | | | | | | | all_200_2 & distinct_points(all_38_2, all_38_2) =
% 25.71/7.64 | | | | | | | | | all_200_3 & ( ~ (all_200_2 = 0) | ~ (all_200_3 = 0)
% 25.71/7.64 | | | | | | | | | | all_200_0 = 0 | all_200_1 = 0)
% 25.71/7.64 | | | | | | | | |
% 25.71/7.64 | | | | | | | | | ALPHA: (211) implies:
% 25.71/7.64 | | | | | | | | | (212) apart_point_and_line(all_38_2, all_38_3) = all_200_1
% 25.71/7.64 | | | | | | | | | (213) apart_point_and_line(all_38_2, all_38_3) = all_200_0
% 25.71/7.64 | | | | | | | | |
% 25.71/7.64 | | | | | | | | | BETA: splitting (149) gives:
% 25.71/7.64 | | | | | | | | |
% 25.71/7.64 | | | | | | | | | Case 1:
% 25.71/7.64 | | | | | | | | | |
% 25.71/7.64 | | | | | | | | | | (214) all_51_0 = 0
% 25.71/7.64 | | | | | | | | | |
% 25.71/7.64 | | | | | | | | | | REDUCE: (138), (214) imply:
% 25.71/7.64 | | | | | | | | | | (215) $false
% 25.71/7.64 | | | | | | | | | |
% 25.71/7.64 | | | | | | | | | | CLOSE: (215) is inconsistent.
% 25.71/7.64 | | | | | | | | | |
% 25.71/7.64 | | | | | | | | | Case 2:
% 25.71/7.64 | | | | | | | | | |
% 25.71/7.64 | | | | | | | | | | (216) all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.64 | | | | | | | | | | [v2: any] : ? [v3: any] :
% 25.71/7.64 | | | | | | | | | | (apart_point_and_line(all_38_1, all_38_3) = v3 &
% 25.71/7.64 | | | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v2 &
% 25.71/7.64 | | | | | | | | | | distinct_lines(all_38_3, all_38_4) = v1 &
% 25.71/7.64 | | | | | | | | | | distinct_points(all_38_2, all_38_1) = v0 & ( ~
% 25.71/7.64 | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.64 | | | | | | | | | |
% 25.71/7.64 | | | | | | | | | | BETA: splitting (143) gives:
% 25.71/7.64 | | | | | | | | | |
% 25.71/7.64 | | | | | | | | | | Case 1:
% 25.71/7.64 | | | | | | | | | | |
% 25.71/7.64 | | | | | | | | | | | (217) all_47_0 = 0
% 25.71/7.64 | | | | | | | | | | |
% 25.71/7.64 | | | | | | | | | | | REDUCE: (58), (217) imply:
% 25.71/7.64 | | | | | | | | | | | (218) $false
% 25.71/7.64 | | | | | | | | | | |
% 25.71/7.64 | | | | | | | | | | | CLOSE: (218) is inconsistent.
% 25.71/7.64 | | | | | | | | | | |
% 25.71/7.64 | | | | | | | | | | Case 2:
% 25.71/7.64 | | | | | | | | | | |
% 25.71/7.64 | | | | | | | | | | | (219) all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.64 | | | | | | | | | | | [v2: any] : (apart_point_and_line(all_38_1,
% 25.71/7.64 | | | | | | | | | | | all_38_3) = v1 &
% 25.71/7.64 | | | | | | | | | | | apart_point_and_line(all_38_1, all_38_4) = v2 &
% 25.71/7.64 | | | | | | | | | | | distinct_lines(all_38_3, all_38_4) = v0 & ( ~
% 25.71/7.64 | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0))
% 25.71/7.64 | | | | | | | | | | |
% 25.71/7.64 | | | | | | | | | | | BETA: splitting (155) gives:
% 25.71/7.64 | | | | | | | | | | |
% 25.71/7.64 | | | | | | | | | | | Case 1:
% 25.71/7.64 | | | | | | | | | | | |
% 25.71/7.64 | | | | | | | | | | | | (220) all_53_0 = 0
% 25.71/7.64 | | | | | | | | | | | |
% 25.71/7.64 | | | | | | | | | | | | REDUCE: (137), (220) imply:
% 25.71/7.64 | | | | | | | | | | | | (221) $false
% 25.71/7.64 | | | | | | | | | | | |
% 25.71/7.64 | | | | | | | | | | | | CLOSE: (221) is inconsistent.
% 25.71/7.64 | | | | | | | | | | | |
% 25.71/7.64 | | | | | | | | | | | Case 2:
% 25.71/7.64 | | | | | | | | | | | |
% 25.71/7.65 | | | | | | | | | | | | (222) all_51_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.65 | | | | | | | | | | | | [v2: any] : (apart_point_and_line(all_38_2,
% 25.71/7.65 | | | | | | | | | | | | all_38_3) = v2 &
% 25.71/7.65 | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v1 &
% 25.71/7.65 | | | | | | | | | | | | distinct_lines(all_38_4, all_38_3) = v0 & ( ~
% 25.71/7.65 | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0))
% 25.71/7.65 | | | | | | | | | | | |
% 25.71/7.65 | | | | | | | | | | | | BETA: splitting (151) gives:
% 25.71/7.65 | | | | | | | | | | | |
% 25.71/7.65 | | | | | | | | | | | | Case 1:
% 25.71/7.65 | | | | | | | | | | | | |
% 25.71/7.65 | | | | | | | | | | | | | (223) all_51_0 = 0
% 25.71/7.65 | | | | | | | | | | | | |
% 25.71/7.65 | | | | | | | | | | | | | REDUCE: (138), (223) imply:
% 25.71/7.65 | | | | | | | | | | | | | (224) $false
% 25.71/7.65 | | | | | | | | | | | | |
% 25.71/7.65 | | | | | | | | | | | | | CLOSE: (224) is inconsistent.
% 25.71/7.65 | | | | | | | | | | | | |
% 25.71/7.65 | | | | | | | | | | | | Case 2:
% 25.71/7.65 | | | | | | | | | | | | |
% 25.71/7.65 | | | | | | | | | | | | | (225) all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.65 | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 25.71/7.65 | | | | | | | | | | | | | (apart_point_and_line(all_38_1, all_38_3) = v3 &
% 25.71/7.65 | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v2 &
% 25.71/7.65 | | | | | | | | | | | | | distinct_lines(all_38_4, all_38_3) = v1 &
% 25.71/7.65 | | | | | | | | | | | | | distinct_points(all_38_2, all_38_1) = v0 & ( ~
% 25.71/7.65 | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.65 | | | | | | | | | | | | |
% 25.71/7.65 | | | | | | | | | | | | | BETA: splitting (161) gives:
% 25.71/7.66 | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | Case 1:
% 25.71/7.66 | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | (226) all_53_0 = 0
% 25.71/7.66 | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | REDUCE: (137), (226) imply:
% 25.71/7.66 | | | | | | | | | | | | | | (227) $false
% 25.71/7.66 | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | CLOSE: (227) is inconsistent.
% 25.71/7.66 | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | Case 2:
% 25.71/7.66 | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | (228) all_47_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.66 | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 25.71/7.66 | | | | | | | | | | | | | | (apart_point_and_line(all_38_1, all_38_4) = v3 &
% 25.71/7.66 | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_3) = v2 &
% 25.71/7.66 | | | | | | | | | | | | | | distinct_lines(all_38_4, all_38_3) = v1 &
% 25.71/7.66 | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_1) = v0 & ( ~
% 25.71/7.66 | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.66 | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 25.71/7.66 | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | Case 1:
% 25.71/7.66 | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | (229) all_53_0 = 0
% 25.71/7.66 | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | REDUCE: (137), (229) imply:
% 25.71/7.66 | | | | | | | | | | | | | | | (230) $false
% 25.71/7.66 | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | CLOSE: (230) is inconsistent.
% 25.71/7.66 | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | Case 2:
% 25.71/7.66 | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | (231) all_47_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.66 | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 25.71/7.66 | | | | | | | | | | | | | | | (apart_point_and_line(all_38_1, all_38_4) = v3 &
% 25.71/7.66 | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_3) = v2 &
% 25.71/7.66 | | | | | | | | | | | | | | | distinct_lines(all_38_3, all_38_4) = v1 &
% 25.71/7.66 | | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_1) = v0 & ( ~
% 25.71/7.66 | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.66 | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | BETA: splitting (156) gives:
% 25.71/7.66 | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | Case 1:
% 25.71/7.66 | | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | | (232) all_53_0 = 0
% 25.71/7.66 | | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | | REDUCE: (137), (232) imply:
% 25.71/7.66 | | | | | | | | | | | | | | | | (233) $false
% 25.71/7.66 | | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | | CLOSE: (233) is inconsistent.
% 25.71/7.66 | | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | Case 2:
% 25.71/7.66 | | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | | (234) all_51_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.66 | | | | | | | | | | | | | | | | [v2: any] : (apart_point_and_line(all_38_2,
% 25.71/7.66 | | | | | | | | | | | | | | | | all_38_3) = v1 &
% 25.71/7.66 | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v2 &
% 25.71/7.66 | | | | | | | | | | | | | | | | distinct_lines(all_38_3, all_38_4) = v0 & ( ~
% 25.71/7.66 | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0))
% 25.71/7.66 | | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 25.71/7.66 | | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | | Case 1:
% 25.71/7.66 | | | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | | | (235) all_51_0 = 0
% 25.71/7.66 | | | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | | | REDUCE: (138), (235) imply:
% 25.71/7.66 | | | | | | | | | | | | | | | | | (236) $false
% 25.71/7.66 | | | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | | | CLOSE: (236) is inconsistent.
% 25.71/7.66 | | | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | | Case 2:
% 25.71/7.66 | | | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | | | (237) all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.66 | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 25.71/7.66 | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_1, all_38_3) = v2 &
% 25.71/7.66 | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v3 &
% 25.71/7.66 | | | | | | | | | | | | | | | | | distinct_lines(all_38_4, all_38_3) = v1 &
% 25.71/7.66 | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_2) = v0 & ( ~
% 25.71/7.66 | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.66 | | | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 25.71/7.66 | | | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | | | Case 1:
% 25.71/7.66 | | | | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | | | | (238) all_53_0 = 0
% 25.71/7.66 | | | | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | | | | REDUCE: (137), (238) imply:
% 25.71/7.66 | | | | | | | | | | | | | | | | | | (239) $false
% 25.71/7.66 | | | | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | | | | CLOSE: (239) is inconsistent.
% 25.71/7.66 | | | | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | | | Case 2:
% 25.71/7.66 | | | | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | | | | (240) all_47_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.66 | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 25.71/7.66 | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_1, all_38_4) = v2 &
% 25.71/7.66 | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_3) = v3 &
% 25.71/7.66 | | | | | | | | | | | | | | | | | | distinct_lines(all_38_3, all_38_4) = v1 &
% 25.71/7.66 | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_2) = v0 & ( ~
% 25.71/7.66 | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.66 | | | | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 25.71/7.66 | | | | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | | | | Case 1:
% 25.71/7.66 | | | | | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | | | | | (241) all_47_0 = 0
% 25.71/7.66 | | | | | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | | | | | REDUCE: (58), (241) imply:
% 25.71/7.66 | | | | | | | | | | | | | | | | | | | (242) $false
% 25.71/7.66 | | | | | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | | | | | CLOSE: (242) is inconsistent.
% 25.71/7.66 | | | | | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | | | | Case 2:
% 25.71/7.66 | | | | | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | | | | | (243) all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.66 | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 25.71/7.66 | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_2, all_38_3) = v3 &
% 25.71/7.66 | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v2 &
% 25.71/7.66 | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_4, all_38_3) = v1 &
% 25.71/7.66 | | | | | | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_2) = v0 & ( ~
% 25.71/7.66 | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.66 | | | | | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 25.71/7.66 | | | | | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | | | | | Case 1:
% 25.71/7.66 | | | | | | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | | | | | | (244) all_53_0 = 0
% 25.71/7.66 | | | | | | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (244) imply:
% 25.71/7.66 | | | | | | | | | | | | | | | | | | | | (245) $false
% 25.71/7.66 | | | | | | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | | | | | | CLOSE: (245) is inconsistent.
% 25.71/7.66 | | | | | | | | | | | | | | | | | | | |
% 25.71/7.66 | | | | | | | | | | | | | | | | | | | Case 2:
% 25.71/7.66 | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | (246) all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_1, all_38_3) = v2 &
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_3) = v3 &
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_3, all_38_3) = v1 &
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_2) = v0 & ( ~
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | BETA: splitting (145) gives:
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | (247) all_47_0 = 0
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (247) imply:
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | (248) $false
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | CLOSE: (248) is inconsistent.
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | (249) all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_2, all_38_3) = v3 &
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v2 &
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_3, all_38_4) = v1 &
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_2) = v0 & ( ~
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | (250) all_51_0 = 0
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (250) imply:
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | (251) $false
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (251) is inconsistent.
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | (252) all_47_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_1, all_38_4) = v2 &
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v3 &
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_4, all_38_4) = v1 &
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_2) = v0 & ( ~
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | (253) all_53_0 = 0
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (253) imply:
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | (254) $false
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (254) is inconsistent.
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | (255) all_51_0 = 0 | ? [v0: any] : ? [v1: any] :
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | (convergent_lines(all_38_3, all_38_4) = v1 &
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_3, all_38_4) = v0 & ( ~
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v1 = 0))
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (146) gives:
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | (256) all_47_0 = 0
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (256) imply:
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | (257) $false
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (257) is inconsistent.
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | (258) all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_2, all_38_3) = v2 &
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v3 &
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_3, all_38_4) = v1 &
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_2) = v0 & ( ~
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (152) gives:
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | (259) all_51_0 = 0
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (259) imply:
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | (260) $false
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (260) is inconsistent.
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | (261) all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_1, all_38_3) = v2 &
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v3 &
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_3, all_38_4) = v1 &
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_2) = v0 & ( ~
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (262) all_47_0 = 0
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (262) imply:
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (263) $false
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (263) is inconsistent.
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (264) all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_2, all_38_3) = v2 &
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v3 &
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_4, all_38_3) = v1 &
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_2) = v0 & ( ~
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (265) all_53_0 = 0
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (265) imply:
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (266) $false
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (266) is inconsistent.
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (267) all_51_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_1, all_38_3) = v2 &
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_1, all_38_4) = v3 &
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_3, all_38_4) = v1 &
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_1) = v0 & ( ~
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (268) all_53_0 = 0
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (268) imply:
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269) $false
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (269) is inconsistent.
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (270) all_51_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_1, all_38_3) = v3 &
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_1, all_38_4) = v2 &
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_3, all_38_4) = v1 &
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_1) = v0 & ( ~
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (271) all_53_0 = 0
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (271) imply:
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (272) $false
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (272) is inconsistent.
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (273) all_47_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_1, all_38_4) = v2 &
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_3) = v3 &
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_4, all_38_3) = v1 &
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_2) = v0 & ( ~
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (274) all_45_0 = 0
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (274) imply:
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (275) $false
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (275) is inconsistent.
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (276) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_1,
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = v3 &
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v2 &
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_3, all_38_4) = v1 &
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_1) = v0 & ( ~
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (276) with fresh symbols all_295_0,
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_295_1, all_295_2, all_295_3 gives:
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (277) apart_point_and_line(all_38_1, all_38_3) =
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_295_0 & apart_point_and_line(all_38_2,
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = all_295_1 & distinct_lines(all_38_3,
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = all_295_2 &
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_1) = all_295_3 &
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_295_2 = 0) | ~ (all_295_3 = 0) |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_295_0 = 0 | all_295_1 = 0)
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (277) implies:
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (278) distinct_lines(all_38_3, all_38_4) = all_295_2
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (279) apart_point_and_line(all_38_2, all_38_4) =
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_295_1
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (280) ~ (all_295_2 = 0) | ~ (all_295_3 = 0) |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_295_0 = 0 | all_295_1 = 0
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (281) all_45_0 = 0
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (281) imply:
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (282) $false
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (282) is inconsistent.
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (283) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_1, all_38_3) = v1 &
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_1, all_38_4) = v2 &
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_3, all_38_4) = v0 & ( ~
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0))
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (283) with fresh symbols all_300_0,
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_300_1, all_300_2 gives:
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (284) apart_point_and_line(all_38_1, all_38_3) =
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_300_1 & apart_point_and_line(all_38_1,
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = all_300_0 & distinct_lines(all_38_3,
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = all_300_2 & ( ~ (all_300_2 = 0) |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_300_0 = 0 | all_300_1 = 0)
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (284) implies:
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (285) distinct_lines(all_38_3, all_38_4) = all_300_2
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (286) all_51_0 = 0
% 25.71/7.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (286) imply:
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (287) $false
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (287) is inconsistent.
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (288) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_2, all_38_3) = v2 &
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v1 &
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_4, all_38_3) = v0 & ( ~
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0))
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (288) with fresh symbols all_310_0,
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_310_1, all_310_2 gives:
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (289) apart_point_and_line(all_38_2, all_38_3) =
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_310_0 & apart_point_and_line(all_38_2,
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = all_310_1 & distinct_lines(all_38_4,
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_310_2 & ( ~ (all_310_2 = 0) |
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_310_0 = 0 | all_310_1 = 0)
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (289) implies:
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (290) apart_point_and_line(all_38_2, all_38_4) =
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_310_1
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (291) apart_point_and_line(all_38_2, all_38_3) =
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_310_0
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (292) all_45_0 = 0
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (292) imply:
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (293) $false
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (293) is inconsistent.
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (294) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_1,
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = v3 &
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v2 &
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_4, all_38_3) = v1 &
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_1) = v0 & ( ~
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (294) with fresh symbols all_315_0,
% 25.71/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_315_1, all_315_2, all_315_3 gives:
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (295) apart_point_and_line(all_38_1, all_38_3) =
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_315_0 & apart_point_and_line(all_38_2,
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = all_315_1 & distinct_lines(all_38_4,
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_315_2 &
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_1) = all_315_3 &
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_315_2 = 0) | ~ (all_315_3 = 0) |
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_315_0 = 0 | all_315_1 = 0)
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (295) implies:
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (296) apart_point_and_line(all_38_2, all_38_4) =
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_315_1
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (297) all_47_0 = 0
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (297) imply:
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (298) $false
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (298) is inconsistent.
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (299) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_1,
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = v3 &
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_3) = v2 &
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_4, all_38_3) = v1 &
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_1) = v0 & ( ~
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (299) with fresh symbols all_320_0,
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_320_1, all_320_2, all_320_3 gives:
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (300) apart_point_and_line(all_38_1, all_38_4) =
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_320_0 & apart_point_and_line(all_38_2,
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_320_1 & distinct_lines(all_38_4,
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_320_2 &
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_1) = all_320_3 &
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_320_2 = 0) | ~ (all_320_3 = 0) |
% 25.71/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_320_0 = 0 | all_320_1 = 0)
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (300) implies:
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (301) apart_point_and_line(all_38_2, all_38_3) =
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_320_1
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (302) all_47_0 = 0
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (302) imply:
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (303) $false
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (303) is inconsistent.
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (304) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_1,
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = v3 &
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_3) = v2 &
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_3, all_38_4) = v1 &
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_1) = v0 & ( ~
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (304) with fresh symbols all_325_0,
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_325_1, all_325_2, all_325_3 gives:
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (305) apart_point_and_line(all_38_1, all_38_4) =
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_325_0 & apart_point_and_line(all_38_2,
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_325_1 & distinct_lines(all_38_3,
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = all_325_2 &
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_1) = all_325_3 &
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_325_2 = 0) | ~ (all_325_3 = 0) |
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_325_0 = 0 | all_325_1 = 0)
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (305) implies:
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (306) distinct_lines(all_38_3, all_38_4) = all_325_2
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (307) apart_point_and_line(all_38_2, all_38_3) =
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_325_1
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (308) all_51_0 = 0
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (308) imply:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (309) $false
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (309) is inconsistent.
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (310) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_2, all_38_3) = v1 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v2 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_3, all_38_4) = v0 & ( ~
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0))
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (310) with fresh symbols all_330_0,
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_330_1, all_330_2 gives:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (311) apart_point_and_line(all_38_2, all_38_3) =
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_330_1 & apart_point_and_line(all_38_2,
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = all_330_0 & distinct_lines(all_38_3,
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = all_330_2 & ( ~ (all_330_2 = 0) |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_330_0 = 0 | all_330_1 = 0)
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (311) implies:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (312) distinct_lines(all_38_3, all_38_4) = all_330_2
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (313) apart_point_and_line(all_38_2, all_38_4) =
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_330_0
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (314) apart_point_and_line(all_38_2, all_38_3) =
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_330_1
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (315) ~ (all_330_2 = 0) | all_330_0 = 0 | all_330_1 = 0
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (316) all_45_0 = 0
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (316) imply:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (317) $false
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (317) is inconsistent.
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (318) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_1,
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = v2 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v3 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_4, all_38_3) = v1 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_2) = v0 & ( ~
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (318) with fresh symbols all_335_0,
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_335_1, all_335_2, all_335_3 gives:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (319) apart_point_and_line(all_38_1, all_38_3) =
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_335_1 & apart_point_and_line(all_38_2,
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = all_335_0 & distinct_lines(all_38_4,
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_335_2 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_2) = all_335_3 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_335_2 = 0) | ~ (all_335_3 = 0) |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_335_0 = 0 | all_335_1 = 0)
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (319) implies:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (320) apart_point_and_line(all_38_2, all_38_4) =
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_335_0
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (321) all_47_0 = 0
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (321) imply:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (322) $false
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (322) is inconsistent.
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (323) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_1,
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = v2 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_3) = v3 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_3, all_38_4) = v1 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_2) = v0 & ( ~
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (323) with fresh symbols all_340_0,
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_340_1, all_340_2, all_340_3 gives:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (324) apart_point_and_line(all_38_1, all_38_4) =
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_340_1 & apart_point_and_line(all_38_2,
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_340_0 & distinct_lines(all_38_3,
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = all_340_2 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_2) = all_340_3 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_340_2 = 0) | ~ (all_340_3 = 0) |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_340_0 = 0 | all_340_1 = 0)
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (324) implies:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (325) distinct_lines(all_38_3, all_38_4) = all_340_2
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (326) apart_point_and_line(all_38_2, all_38_3) =
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_340_0
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (327) all_45_0 = 0
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (327) imply:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (328) $false
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (328) is inconsistent.
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (329) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_2,
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = v3 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v2 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_4, all_38_3) = v1 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_2) = v0 & ( ~
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (329) with fresh symbols all_345_0,
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_345_1, all_345_2, all_345_3 gives:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (330) apart_point_and_line(all_38_2, all_38_3) =
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_345_0 & apart_point_and_line(all_38_2,
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = all_345_1 & distinct_lines(all_38_4,
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_345_2 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_2) = all_345_3 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_345_2 = 0) | ~ (all_345_3 = 0) |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_345_0 = 0 | all_345_1 = 0)
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (330) implies:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (331) apart_point_and_line(all_38_2, all_38_4) =
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_345_1
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (332) apart_point_and_line(all_38_2, all_38_3) =
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_345_0
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (333) all_45_0 = 0
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (333) imply:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (334) $false
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (334) is inconsistent.
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (335) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_1,
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = v2 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_3) = v3 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_3, all_38_3) = v1 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_2) = v0 & ( ~
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (335) with fresh symbols all_350_0,
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_350_1, all_350_2, all_350_3 gives:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (336) apart_point_and_line(all_38_1, all_38_3) =
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_350_1 & apart_point_and_line(all_38_2,
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_350_0 & distinct_lines(all_38_3,
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_350_2 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_2) = all_350_3 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_350_2 = 0) | ~ (all_350_3 = 0) |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_350_0 = 0 | all_350_1 = 0)
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (336) implies:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (337) apart_point_and_line(all_38_2, all_38_3) =
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_350_0
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (338) all_45_0 = 0
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (338) imply:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (339) $false
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (339) is inconsistent.
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (340) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_2,
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = v3 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v2 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_3, all_38_4) = v1 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_2) = v0 & ( ~
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (340) with fresh symbols all_355_0,
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_355_1, all_355_2, all_355_3 gives:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (341) apart_point_and_line(all_38_2, all_38_3) =
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_355_0 & apart_point_and_line(all_38_2,
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = all_355_1 & distinct_lines(all_38_3,
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = all_355_2 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_2) = all_355_3 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_355_2 = 0) | ~ (all_355_3 = 0) |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_355_0 = 0 | all_355_1 = 0)
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (341) implies:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (342) distinct_lines(all_38_3, all_38_4) = all_355_2
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (343) apart_point_and_line(all_38_2, all_38_4) =
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_355_1
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (344) apart_point_and_line(all_38_2, all_38_3) =
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_355_0
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (255) gives:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (345) all_51_0 = 0
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (345) imply:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (346) $false
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (346) is inconsistent.
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (347) ? [v0: any] : ? [v1: any] :
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (convergent_lines(all_38_3, all_38_4) = v1 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_3, all_38_4) = v0 & ( ~
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v1 = 0))
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (347) with fresh symbols all_360_0,
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_360_1 gives:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (348) convergent_lines(all_38_3, all_38_4) = all_360_0 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_3, all_38_4) = all_360_1 & (
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_360_1 = 0) | all_360_0 = 0)
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (348) implies:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (349) distinct_lines(all_38_3, all_38_4) = all_360_1
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (350) all_47_0 = 0
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (350) imply:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (351) $false
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (351) is inconsistent.
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (352) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_1,
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = v2 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v3 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_4, all_38_4) = v1 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_2) = v0 & ( ~
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (352) with fresh symbols all_365_0,
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_365_1, all_365_2, all_365_3 gives:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (353) apart_point_and_line(all_38_1, all_38_4) =
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_365_1 & apart_point_and_line(all_38_2,
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = all_365_0 & distinct_lines(all_38_4,
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = all_365_2 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_2) = all_365_3 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_365_2 = 0) | ~ (all_365_3 = 0) |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_365_0 = 0 | all_365_1 = 0)
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (353) implies:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (354) apart_point_and_line(all_38_2, all_38_4) =
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_365_0
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (355) all_45_0 = 0
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (355) imply:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (356) $false
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (356) is inconsistent.
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (357) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_2,
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = v2 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v3 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_3, all_38_4) = v1 &
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_2) = v0 & ( ~
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (357) with fresh symbols all_370_0,
% 25.71/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_370_1, all_370_2, all_370_3 gives:
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358) apart_point_and_line(all_38_2, all_38_3) =
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_370_1 & apart_point_and_line(all_38_2,
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = all_370_0 & distinct_lines(all_38_3,
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = all_370_2 &
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_2) = all_370_3 &
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_370_2 = 0) | ~ (all_370_3 = 0) |
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_370_0 = 0 | all_370_1 = 0)
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (358) implies:
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (359) distinct_lines(all_38_3, all_38_4) = all_370_2
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (360) apart_point_and_line(all_38_2, all_38_4) =
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_370_0
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (361) apart_point_and_line(all_38_2, all_38_3) =
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_370_1
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (261) gives:
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (362) all_45_0 = 0
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (362) imply:
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (363) $false
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (363) is inconsistent.
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (364) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_1,
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = v2 &
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v3 &
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_3, all_38_4) = v1 &
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_2) = v0 & ( ~
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (364) with fresh symbols all_375_0,
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_375_1, all_375_2, all_375_3 gives:
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (365) apart_point_and_line(all_38_1, all_38_3) =
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_375_1 & apart_point_and_line(all_38_2,
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = all_375_0 & distinct_lines(all_38_3,
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = all_375_2 &
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_2) = all_375_3 &
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_375_2 = 0) | ~ (all_375_3 = 0) |
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_375_0 = 0 | all_375_1 = 0)
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (365) implies:
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (366) distinct_lines(all_38_3, all_38_4) = all_375_2
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (367) apart_point_and_line(all_38_2, all_38_4) =
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_375_0
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (347) with fresh symbols all_380_0,
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_380_1 gives:
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (368) convergent_lines(all_38_3, all_38_4) = all_380_0 &
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_3, all_38_4) = all_380_1 & (
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_380_1 = 0) | all_380_0 = 0)
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (368) implies:
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (369) distinct_lines(all_38_3, all_38_4) = all_380_1
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.71/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (370) all_45_0 = 0
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (370) imply:
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (371) $false
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (371) is inconsistent.
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (372) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_2,
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = v2 &
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v3 &
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_4, all_38_3) = v1 &
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_2) = v0 & ( ~
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (372) with fresh symbols all_385_0,
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_385_1, all_385_2, all_385_3 gives:
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373) apart_point_and_line(all_38_2, all_38_3) =
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_385_1 & apart_point_and_line(all_38_2,
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = all_385_0 & distinct_lines(all_38_4,
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_385_2 &
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_2) = all_385_3 &
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_385_2 = 0) | ~ (all_385_3 = 0) |
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_385_0 = 0 | all_385_1 = 0)
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (373) implies:
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374) apart_point_and_line(all_38_2, all_38_4) =
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_385_0
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (375) apart_point_and_line(all_38_2, all_38_3) =
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_385_1
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376) all_51_0 = 0
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (376) imply:
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (377) $false
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (377) is inconsistent.
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (378) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_1,
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = v2 &
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_1, all_38_4) = v3 &
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_3, all_38_4) = v1 &
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_1) = v0 & ( ~
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (378) with fresh symbols all_390_0,
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_390_1, all_390_2, all_390_3 gives:
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (379) apart_point_and_line(all_38_1, all_38_3) =
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_390_1 & apart_point_and_line(all_38_1,
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = all_390_0 & distinct_lines(all_38_3,
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = all_390_2 &
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_1) = all_390_3 &
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_390_2 = 0) | ~ (all_390_3 = 0) |
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_390_0 = 0 | all_390_1 = 0)
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (379) implies:
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (380) distinct_lines(all_38_3, all_38_4) = all_390_2
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (381) all_51_0 = 0
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (381) imply:
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (382) $false
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (382) is inconsistent.
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (383) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_1,
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = v3 &
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_1, all_38_4) = v2 &
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_3, all_38_4) = v1 &
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_1) = v0 & ( ~
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (383) with fresh symbols all_400_0,
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_400_1, all_400_2, all_400_3 gives:
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (384) apart_point_and_line(all_38_1, all_38_3) =
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_400_0 & apart_point_and_line(all_38_1,
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = all_400_1 & distinct_lines(all_38_3,
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = all_400_2 &
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_1) = all_400_3 &
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_400_2 = 0) | ~ (all_400_3 = 0) |
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_400_0 = 0 | all_400_1 = 0)
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (384) implies:
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (385) distinct_lines(all_38_3, all_38_4) = all_400_2
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386) all_47_0 = 0
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (386) imply:
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387) $false
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (387) is inconsistent.
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (388) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_1,
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = v2 &
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_3) = v3 &
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_4, all_38_3) = v1 &
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_2) = v0 & ( ~
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (388) with fresh symbols all_405_0,
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_405_1, all_405_2, all_405_3 gives:
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (389) apart_point_and_line(all_38_1, all_38_4) =
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_405_1 & apart_point_and_line(all_38_2,
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_405_0 & distinct_lines(all_38_4,
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3) = all_405_2 &
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_2) = all_405_3 &
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_405_2 = 0) | ~ (all_405_3 = 0) |
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_405_0 = 0 | all_405_1 = 0)
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (389) implies:
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (390) apart_point_and_line(all_38_2, all_38_3) =
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_405_0
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_300_2, all_325_2,
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_3, simplifying with (285), (306)
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (391) all_325_2 = all_300_2
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_340_2, all_355_2,
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_3, simplifying with (325), (342)
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (392) all_355_2 = all_340_2
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_340_2, all_360_1,
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_3, simplifying with (325), (349)
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (393) all_360_1 = all_340_2
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_325_2, all_360_1,
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_3, simplifying with (306), (349)
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (394) all_360_1 = all_325_2
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_355_2, all_370_2,
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_3, simplifying with (342), (359)
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (395) all_370_2 = all_355_2
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_370_2, all_375_2,
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_3, simplifying with (359), (366)
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (396) all_375_2 = all_370_2
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_360_1, all_380_1,
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_3, simplifying with (349), (369)
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (397) all_380_1 = all_360_1
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_330_2, all_380_1,
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_3, simplifying with (312), (369)
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (398) all_380_1 = all_330_2
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_375_2, all_390_2,
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_3, simplifying with (366), (380)
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (399) all_390_2 = all_375_2
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_390_2, all_400_2,
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_3, simplifying with (380), (385)
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (400) all_400_2 = all_390_2
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_295_2, all_400_2,
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_3, simplifying with (278), (385)
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 25.71/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (401) all_400_2 = all_295_2
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_122_2, all_124_2,
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_4, simplifying with (176), (178)
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (402) all_124_2 = all_122_2
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_63_3, all_130_3,
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_4, simplifying with (81), (180)
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (403) all_130_3 = all_63_3
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_124_2, all_130_3,
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_4, simplifying with (178), (180)
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (404) all_130_3 = all_124_2
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_132_2, all_160_0,
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_4, simplifying with (182), (187)
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (405) all_160_0 = all_132_2
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_124_2, all_160_0,
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_4, simplifying with (178), (187)
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (406) all_160_0 = all_124_2
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_120_3, all_160_0,
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_4, simplifying with (174), (187)
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (407) all_160_0 = all_120_3
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_160_0, all_180_0,
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_4, simplifying with (187), (195)
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (408) all_180_0 = all_160_0
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_118_3, all_180_0,
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_4, simplifying with (172), (195)
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (409) all_180_0 = all_118_3
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_47_0, all_190_1,
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_2, simplifying with (59), (206)
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (410) all_190_1 = all_47_0
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_190_1, all_295_1,
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_2, simplifying with (206), (279)
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (411) all_295_1 = all_190_1
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_315_1, all_330_0,
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_2, simplifying with (296), (313)
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (412) all_330_0 = all_315_1
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_330_0, all_335_0,
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_2, simplifying with (313), (320)
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (413) all_335_0 = all_330_0
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_335_0, all_345_1,
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_2, simplifying with (320), (331)
% 26.13/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (414) all_345_1 = all_335_0
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_315_1, all_365_0,
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_2, simplifying with (296), (354)
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (415) all_365_0 = all_315_1
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_310_1, all_365_0,
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_2, simplifying with (290), (354)
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (416) all_365_0 = all_310_1
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_345_1, all_370_0,
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_2, simplifying with (331), (360)
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (417) all_370_0 = all_345_1
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_185_1, all_370_0,
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_2, simplifying with (200), (360)
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (418) all_370_0 = all_185_1
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_315_1, all_375_0,
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_2, simplifying with (296), (367)
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (419) all_375_0 = all_315_1
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_190_0, all_375_0,
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_2, simplifying with (207), (367)
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (420) all_375_0 = all_190_0
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_190_1, all_375_0,
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_2, simplifying with (206), (367)
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (421) all_375_0 = all_190_1
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_355_1, all_385_0,
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_2, simplifying with (343), (374)
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (422) all_385_0 = all_355_1
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_295_1, all_385_0,
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_2, simplifying with (279), (374)
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (423) all_385_0 = all_295_1
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_185_0, all_385_0,
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4, all_38_2, simplifying with (201), (374)
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (424) all_385_0 = all_185_0
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_310_0, all_320_1,
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_2, simplifying with (291), (301)
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (425) all_320_1 = all_310_0
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_200_0, all_330_1,
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_2, simplifying with (213), (314)
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (426) all_330_1 = all_200_0
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_330_1, all_340_0,
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_2, simplifying with (314), (326)
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (427) all_340_0 = all_330_1
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_310_0, all_345_0,
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_2, simplifying with (291), (332)
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (428) all_345_0 = all_310_0
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_200_0, all_345_0,
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_2, simplifying with (213), (332)
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (429) all_345_0 = all_200_0
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_200_1, all_345_0,
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_2, simplifying with (212), (332)
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (430) all_345_0 = all_200_1
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_345_0, all_355_0,
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_2, simplifying with (332), (344)
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (431) all_355_0 = all_345_0
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_325_1, all_355_0,
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_2, simplifying with (307), (344)
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (432) all_355_0 = all_325_1
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_350_0, all_370_1,
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_2, simplifying with (337), (361)
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (433) all_370_1 = all_350_0
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_340_0, all_370_1,
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_2, simplifying with (326), (361)
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (434) all_370_1 = all_340_0
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_175_0, all_370_1,
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_2, simplifying with (193), (361)
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (435) all_370_1 = all_175_0
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_320_1, all_385_1,
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_2, simplifying with (301), (375)
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (436) all_385_1 = all_320_1
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_175_1, all_385_1,
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_2, simplifying with (192), (375)
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (437) all_385_1 = all_175_1
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_45_0, all_405_0,
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_2, simplifying with (56), (390)
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (438) all_405_0 = all_45_0
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_345_0, all_405_0,
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, all_38_2, simplifying with (332), (390)
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (439) all_405_0 = all_345_0
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (438), (439) imply:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (440) all_345_0 = all_45_0
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (440) implies:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (441) all_345_0 = all_45_0
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (401) imply:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (442) all_390_2 = all_295_2
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (442) implies:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (443) all_390_2 = all_295_2
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (399), (443) imply:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (444) all_375_2 = all_295_2
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (444) implies:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (445) all_375_2 = all_295_2
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (424) imply:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (446) all_355_1 = all_185_0
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (423) imply:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (447) all_355_1 = all_295_1
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (436), (437) imply:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (448) all_320_1 = all_175_1
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (448) implies:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (449) all_320_1 = all_175_1
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (398) imply:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (450) all_360_1 = all_330_2
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (450) implies:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (451) all_360_1 = all_330_2
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (419), (420) imply:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (452) all_315_1 = all_190_0
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (452) implies:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (453) all_315_1 = all_190_0
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (421) imply:
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (454) all_190_0 = all_190_1
% 26.13/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (445) imply:
% 26.13/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (455) all_370_2 = all_295_2
% 26.13/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (455) implies:
% 26.13/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (456) all_370_2 = all_295_2
% 26.13/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (417), (418) imply:
% 26.13/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (457) all_345_1 = all_185_1
% 26.13/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (457) implies:
% 26.13/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (458) all_345_1 = all_185_1
% 26.13/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (433), (435) imply:
% 26.13/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (459) all_350_0 = all_175_0
% 26.13/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (433), (434) imply:
% 26.13/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (460) all_350_0 = all_340_0
% 26.13/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (456) imply:
% 26.13/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (461) all_355_2 = all_295_2
% 26.13/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (461) implies:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (462) all_355_2 = all_295_2
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (416) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (463) all_315_1 = all_310_1
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (463) implies:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (464) all_315_1 = all_310_1
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (393), (451) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (465) all_340_2 = all_330_2
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (465) implies:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (466) all_340_2 = all_330_2
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (451) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (467) all_330_2 = all_325_2
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (432) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (468) all_345_0 = all_325_1
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (468) implies:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (469) all_345_0 = all_325_1
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (447) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (470) all_295_1 = all_185_0
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (470) implies:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (471) all_295_1 = all_185_0
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (462) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (472) all_340_2 = all_295_2
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (472) implies:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (473) all_340_2 = all_295_2
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (459), (460) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (474) all_340_0 = all_175_0
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (474) implies:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (475) all_340_0 = all_175_0
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (428), (469) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (476) all_325_1 = all_310_0
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (469) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (477) all_325_1 = all_200_1
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (469) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (478) all_325_1 = all_200_0
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (469) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (479) all_325_1 = all_45_0
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (458) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (480) all_335_0 = all_185_1
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (480) implies:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (481) all_335_0 = all_185_1
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (427), (475) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (482) all_330_1 = all_175_0
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (482) implies:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (483) all_330_1 = all_175_0
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (473) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (484) all_330_2 = all_295_2
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (484) implies:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (485) all_330_2 = all_295_2
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (481) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (486) all_330_0 = all_185_1
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (486) implies:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (487) all_330_0 = all_185_1
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (487) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (488) all_315_1 = all_185_1
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (488) implies:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (489) all_315_1 = all_185_1
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (426), (483) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (490) all_200_0 = all_175_0
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (490) implies:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (491) all_200_0 = all_175_0
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (467), (485) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (492) all_325_2 = all_295_2
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (492) implies:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (493) all_325_2 = all_295_2
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (478) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (494) all_200_0 = all_200_1
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (494) implies:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (495) all_200_0 = all_200_1
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (479) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (496) all_200_1 = all_45_0
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (476), (477) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (497) all_310_0 = all_200_1
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (497) implies:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (498) all_310_0 = all_200_1
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (493) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (499) all_300_2 = all_295_2
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (499) implies:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (500) all_300_2 = all_295_2
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (449) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (501) all_310_0 = all_175_1
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (501) implies:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (502) all_310_0 = all_175_1
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (464) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (503) all_310_1 = all_190_0
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (464), (489) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (504) all_310_1 = all_185_1
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (502) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (505) all_200_1 = all_175_1
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (505) implies:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (506) all_200_1 = all_175_1
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (504) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (507) all_190_0 = all_185_1
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (507) implies:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (508) all_190_0 = all_185_1
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (471) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (509) all_190_1 = all_185_0
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (509) implies:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (510) all_190_1 = all_185_0
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (495) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (511) all_200_1 = all_175_0
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (511) implies:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (512) all_200_1 = all_175_0
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (512) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (513) all_175_0 = all_175_1
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (512) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (514) all_175_0 = all_45_0
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (508) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (515) all_190_1 = all_185_1
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (515) implies:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (516) all_190_1 = all_185_1
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (410), (510) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (517) all_185_0 = all_47_0
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (510), (516) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (518) all_185_0 = all_185_1
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (517), (518) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (519) all_185_1 = all_47_0
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (408), (409) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (520) all_160_0 = all_118_3
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (520) implies:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (521) all_160_0 = all_118_3
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (513), (514) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (522) all_175_1 = all_45_0
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (405), (406) imply:
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (523) all_132_2 = all_124_2
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (405), (521) imply:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (524) all_132_2 = all_118_3
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (405), (407) imply:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (525) all_132_2 = all_120_3
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (525) imply:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (526) all_124_2 = all_120_3
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (526) implies:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (527) all_124_2 = all_120_3
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (524), (525) imply:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (528) all_120_3 = all_118_3
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (404) imply:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (529) all_124_2 = all_63_3
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (529) implies:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (530) all_124_2 = all_63_3
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (402), (527) imply:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (531) all_122_2 = all_120_3
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (402), (530) imply:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (532) all_122_2 = all_63_3
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (531), (532) imply:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (533) all_120_3 = all_63_3
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (533) implies:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (534) all_120_3 = all_63_3
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (534) imply:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (535) all_118_3 = all_63_3
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (535) implies:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (536) all_118_3 = all_63_3
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (514) imply:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (537) all_330_1 = all_45_0
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (487), (519) imply:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (538) all_330_0 = all_47_0
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (539) ~ (all_295_2 = 0)
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (139) gives:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (540) distinct_lines(all_38_3, all_38_4) = 0
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_295_2, 0, all_38_4,
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_3, simplifying with (278), (540) gives:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (541) all_295_2 = 0
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (539), (541) imply:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (542) $false
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (542) is inconsistent.
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (543) all_63_3 = 0
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (543) imply:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (544) convergent_lines(all_38_4, all_38_4) = 0
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (apart3) with all_38_4, simplifying
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | with (32), (544) gives:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (545) $false
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (545) is inconsistent.
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (546) all_295_2 = 0
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (546) imply:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (547) all_330_2 = 0
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (315) gives:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (548) ~ (all_330_2 = 0)
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (547), (548) imply:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (549) $false
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (549) is inconsistent.
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (550) all_330_0 = 0 | all_330_1 = 0
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (550) gives:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (551) all_330_0 = 0
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (551) imply:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (552) all_47_0 = 0
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (552) imply:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (553) $false
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (553) is inconsistent.
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (554) all_330_1 = 0
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (537), (554) imply:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (555) all_45_0 = 0
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (555) imply:
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (556) $false
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (556) is inconsistent.
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.81 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.81 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.81 | | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.81 | | | | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.81 | | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.81 | | | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.81 | | | | | | | | | | | | | | | | | | | | |
% 26.13/7.81 | | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.81 | | | | | | | | | | | | | | | | | | | |
% 26.13/7.81 | | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.81 | | | | | | | | | | | | | | | | | | |
% 26.13/7.81 | | | | | | | | | | | | | | | | | | End of split
% 26.13/7.81 | | | | | | | | | | | | | | | | | |
% 26.13/7.81 | | | | | | | | | | | | | | | | | End of split
% 26.13/7.81 | | | | | | | | | | | | | | | | |
% 26.13/7.81 | | | | | | | | | | | | | | | | End of split
% 26.13/7.81 | | | | | | | | | | | | | | | |
% 26.13/7.81 | | | | | | | | | | | | | | | End of split
% 26.13/7.81 | | | | | | | | | | | | | | |
% 26.13/7.81 | | | | | | | | | | | | | | End of split
% 26.13/7.81 | | | | | | | | | | | | | |
% 26.13/7.81 | | | | | | | | | | | | | End of split
% 26.13/7.81 | | | | | | | | | | | | |
% 26.13/7.81 | | | | | | | | | | | | End of split
% 26.13/7.81 | | | | | | | | | | | |
% 26.13/7.81 | | | | | | | | | | | End of split
% 26.13/7.81 | | | | | | | | | | |
% 26.13/7.81 | | | | | | | | | | End of split
% 26.13/7.81 | | | | | | | | | |
% 26.13/7.81 | | | | | | | | | End of split
% 26.13/7.81 | | | | | | | | |
% 26.13/7.81 | | | | | | | | End of split
% 26.13/7.81 | | | | | | | |
% 26.13/7.81 | | | | | | | End of split
% 26.13/7.81 | | | | | | |
% 26.13/7.81 | | | | | | End of split
% 26.13/7.81 | | | | | |
% 26.13/7.81 | | | | | End of split
% 26.13/7.81 | | | | |
% 26.13/7.81 | | | | End of split
% 26.13/7.81 | | | |
% 26.13/7.81 | | | Case 2:
% 26.13/7.81 | | | |
% 26.13/7.81 | | | | (557) ~ (all_57_1 = 0)
% 26.13/7.81 | | | |
% 26.13/7.81 | | | | REDUCE: (127), (557) imply:
% 26.13/7.81 | | | | (558) $false
% 26.13/7.81 | | | |
% 26.13/7.81 | | | | CLOSE: (558) is inconsistent.
% 26.13/7.81 | | | |
% 26.13/7.81 | | | End of split
% 26.13/7.81 | | |
% 26.13/7.81 | | Case 2:
% 26.13/7.81 | | |
% 26.13/7.81 | | | (559) ~ (all_55_1 = 0)
% 26.13/7.81 | | |
% 26.13/7.81 | | | REDUCE: (128), (559) imply:
% 26.13/7.81 | | | (560) $false
% 26.13/7.81 | | |
% 26.13/7.81 | | | CLOSE: (560) is inconsistent.
% 26.13/7.81 | | |
% 26.13/7.81 | | End of split
% 26.13/7.81 | |
% 26.13/7.81 | Case 2:
% 26.13/7.81 | |
% 26.13/7.81 | | (561) all_38_0 = 0
% 26.13/7.81 | |
% 26.13/7.81 | | REDUCE: (31), (561) imply:
% 26.13/7.81 | | (562) $false
% 26.13/7.81 | |
% 26.13/7.81 | | CLOSE: (562) is inconsistent.
% 26.13/7.81 | |
% 26.13/7.81 | End of split
% 26.13/7.81 |
% 26.13/7.81 End of proof
% 26.13/7.81 % SZS output end Proof for theBenchmark
% 26.13/7.81
% 26.13/7.81 7170ms
%------------------------------------------------------------------------------