TSTP Solution File: GEO189+3 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : GEO189+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 23:22:03 EDT 2023
% Result : Theorem 14.87s 2.76s
% Output : Proof 21.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO189+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 21:16:22 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.62 ________ _____
% 0.21/0.62 ___ __ \_________(_)________________________________
% 0.21/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.62
% 0.21/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.62 (2023-06-19)
% 0.21/0.62
% 0.21/0.62 (c) Philipp Rümmer, 2009-2023
% 0.21/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.62 Amanda Stjerna.
% 0.21/0.62 Free software under BSD-3-Clause.
% 0.21/0.63
% 0.21/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.63
% 0.21/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.21/0.64 Running up to 7 provers in parallel.
% 0.21/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.47/1.22 Prover 4: Preprocessing ...
% 3.47/1.22 Prover 1: Preprocessing ...
% 3.47/1.26 Prover 5: Preprocessing ...
% 3.47/1.26 Prover 2: Preprocessing ...
% 3.47/1.26 Prover 0: Preprocessing ...
% 3.47/1.26 Prover 3: Preprocessing ...
% 3.47/1.26 Prover 6: Preprocessing ...
% 6.36/1.64 Prover 5: Proving ...
% 6.79/1.69 Prover 2: Proving ...
% 6.79/1.74 Prover 3: Constructing countermodel ...
% 6.79/1.76 Prover 6: Constructing countermodel ...
% 7.82/1.82 Prover 1: Constructing countermodel ...
% 7.88/1.90 Prover 3: gave up
% 7.88/1.90 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 7.88/1.94 Prover 6: gave up
% 7.88/1.95 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 8.77/1.99 Prover 7: Preprocessing ...
% 8.77/2.02 Prover 8: Preprocessing ...
% 9.62/2.08 Prover 7: Warning: ignoring some quantifiers
% 9.62/2.11 Prover 7: Constructing countermodel ...
% 9.62/2.12 Prover 0: Proving ...
% 9.62/2.15 Prover 4: Constructing countermodel ...
% 9.62/2.16 Prover 1: gave up
% 10.30/2.16 Prover 8: Warning: ignoring some quantifiers
% 10.30/2.17 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 10.30/2.18 Prover 8: Constructing countermodel ...
% 10.54/2.22 Prover 9: Preprocessing ...
% 11.92/2.42 Prover 8: gave up
% 11.92/2.42 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 12.62/2.48 Prover 10: Preprocessing ...
% 13.14/2.53 Prover 10: Warning: ignoring some quantifiers
% 13.14/2.57 Prover 10: Constructing countermodel ...
% 13.14/2.60 Prover 9: Constructing countermodel ...
% 14.38/2.70 Prover 10: gave up
% 14.38/2.70 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 14.38/2.75 Prover 11: Preprocessing ...
% 14.87/2.76 Prover 0: proved (2116ms)
% 14.87/2.76
% 14.87/2.76 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.87/2.76
% 14.87/2.77 Prover 9: stopped
% 14.87/2.77 Prover 5: stopped
% 14.87/2.77 Prover 2: stopped
% 14.87/2.77 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 14.87/2.78 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 14.87/2.78 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 15.13/2.81 Prover 19: Preprocessing ...
% 15.41/2.84 Prover 16: Preprocessing ...
% 15.41/2.85 Prover 13: Preprocessing ...
% 16.16/2.94 Prover 13: Warning: ignoring some quantifiers
% 16.16/2.94 Prover 16: Warning: ignoring some quantifiers
% 16.16/2.94 Prover 19: Warning: ignoring some quantifiers
% 16.16/2.95 Prover 16: Constructing countermodel ...
% 16.16/2.95 Prover 13: Constructing countermodel ...
% 16.16/2.96 Prover 19: Constructing countermodel ...
% 16.64/3.01 Prover 11: Constructing countermodel ...
% 17.43/3.15 Prover 19: gave up
% 17.98/3.27 Prover 13: gave up
% 19.39/3.44 Prover 16: gave up
% 20.29/3.51 Prover 7: gave up
% 20.96/3.64 Prover 4: Found proof (size 339)
% 20.96/3.64 Prover 4: proved (2995ms)
% 20.96/3.64 Prover 11: stopped
% 20.96/3.65
% 20.96/3.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.96/3.65
% 21.30/3.70 % SZS output start Proof for theBenchmark
% 21.30/3.70 Assumptions after simplification:
% 21.30/3.70 ---------------------------------
% 21.30/3.70
% 21.30/3.70 (a4)
% 21.30/3.73 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 21.30/3.73 (incident_point_and_line(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) |
% 21.30/3.73 apart_point_and_line(v0, v1) = 0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int]
% 21.30/3.73 : (v2 = 0 | ~ (apart_point_and_line(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) |
% 21.30/3.73 incident_point_and_line(v0, v1) = 0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 21.30/3.73 (incident_point_and_line(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: int]
% 21.30/3.73 : ( ~ (v2 = 0) & apart_point_and_line(v0, v1) = v2)) & ! [v0: $i] : ! [v1:
% 21.30/3.73 $i] : ( ~ (apart_point_and_line(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ?
% 21.30/3.73 [v2: int] : ( ~ (v2 = 0) & incident_point_and_line(v0, v1) = v2))
% 21.30/3.73
% 21.30/3.73 (ceq2)
% 21.30/3.73 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 =
% 21.30/3.73 0 | v3 = 0 | ~ (apart_point_and_line(v0, v2) = v4) | ~ (distinct_lines(v1,
% 21.30/3.73 v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 =
% 21.30/3.73 0) & apart_point_and_line(v0, v1) = v5)) & ! [v0: $i] : ! [v1: $i] :
% 21.30/3.73 ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (apart_point_and_line(v0, v2) = v3) |
% 21.30/3.73 ~ (apart_point_and_line(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 21.30/3.73 distinct_lines(v1, v2) = 0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 21.30/3.73 [v3: int] : (v3 = 0 | ~ (apart_point_and_line(v0, v1) = 0) | ~
% 21.30/3.73 (distinct_lines(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 21.30/3.73 apart_point_and_line(v0, v2) = 0)
% 21.30/3.73
% 21.30/3.73 (ci1)
% 21.30/3.74 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (line_connecting(v0, v1) = v2) |
% 21.30/3.74 ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 21.30/3.74 (apart_point_and_line(v0, v2) = v4 & distinct_points(v0, v1) = v3 & ( ~ (v4
% 21.30/3.74 = 0) | ~ (v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 21.30/3.74 (distinct_points(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : ?
% 21.30/3.74 [v3: int] : ( ~ (v3 = 0) & line_connecting(v0, v1) = v2 &
% 21.30/3.74 apart_point_and_line(v0, v2) = v3 & $i(v2)))
% 21.30/3.74
% 21.30/3.74 (ci2)
% 21.30/3.74 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (line_connecting(v0, v1) = v2) |
% 21.30/3.74 ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 21.30/3.74 (apart_point_and_line(v1, v2) = v4 & distinct_points(v0, v1) = v3 & ( ~ (v4
% 21.30/3.74 = 0) | ~ (v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 21.30/3.74 (distinct_points(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : ?
% 21.30/3.74 [v3: int] : ( ~ (v3 = 0) & line_connecting(v0, v1) = v2 &
% 21.30/3.74 apart_point_and_line(v1, v2) = v3 & $i(v2)))
% 21.30/3.74
% 21.30/3.74 (con)
% 21.30/3.74 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 21.30/3.74 int] : ( ~ (v5 = 0) & incident_point_and_line(v2, v3) = 0 &
% 21.30/3.74 incident_point_and_line(v1, v4) = v5 & line_connecting(v0, v2) = v4 &
% 21.30/3.74 line_connecting(v0, v1) = v3 & distinct_points(v1, v2) = 0 &
% 21.30/3.74 distinct_points(v0, v2) = 0 & distinct_points(v0, v1) = 0 & $i(v4) & $i(v3)
% 21.30/3.74 & $i(v2) & $i(v1) & $i(v0))
% 21.30/3.74
% 21.30/3.74 (con1)
% 21.30/3.74 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (line_connecting(v0, v1) = v2) |
% 21.30/3.74 ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6:
% 21.30/3.74 any] : (point(v1) = v4 & point(v0) = v3 & line(v2) = v6 &
% 21.30/3.74 distinct_points(v0, v1) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) |
% 21.30/3.74 v6 = 0))) & ! [v0: $i] : ! [v1: $i] : ( ~ (distinct_points(v0, v1) =
% 21.30/3.74 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: $i] :
% 21.30/3.74 ? [v5: any] : (point(v1) = v3 & point(v0) = v2 & line(v4) = v5 &
% 21.30/3.74 line_connecting(v0, v1) = v4 & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 =
% 21.30/3.74 0)))
% 21.30/3.74
% 21.30/3.74 (cu1)
% 21.30/3.75 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5:
% 21.30/3.75 int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = v5) | ~
% 21.30/3.75 (apart_point_and_line(v1, v2) = v4) | ~ (distinct_points(v0, v1) = 0) | ~
% 21.30/3.75 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] :
% 21.30/3.75 ? [v8: any] : (apart_point_and_line(v0, v3) = v8 & apart_point_and_line(v0,
% 21.30/3.75 v2) = v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 =
% 21.30/3.75 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4:
% 21.30/3.75 int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) =
% 21.30/3.75 v5) | ~ (apart_point_and_line(v0, v3) = v4) | ~ (distinct_lines(v2, v3)
% 21.30/3.75 = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ?
% 21.30/3.75 [v7: any] : ? [v8: any] : (apart_point_and_line(v1, v2) = v8 &
% 21.30/3.75 apart_point_and_line(v0, v2) = v7 & distinct_points(v0, v1) = v6 & ( ~ (v6
% 21.30/3.75 = 0) | v8 = 0 | v7 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 21.30/3.75 ! [v3: $i] : ! [v4: int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~
% 21.30/3.75 (apart_point_and_line(v1, v3) = v5) | ~ (apart_point_and_line(v0, v2) = v4)
% 21.30/3.75 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7:
% 21.30/3.75 any] : ? [v8: any] : ? [v9: any] : (apart_point_and_line(v1, v2) = v9 &
% 21.30/3.75 apart_point_and_line(v0, v3) = v8 & distinct_lines(v2, v3) = v7 &
% 21.30/3.75 distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0 | v8 =
% 21.30/3.75 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4:
% 21.30/3.75 int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v2) =
% 21.30/3.75 v5) | ~ (apart_point_and_line(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~
% 21.30/3.75 $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9:
% 21.30/3.75 any] : (apart_point_and_line(v1, v3) = v9 & apart_point_and_line(v0, v2) =
% 21.30/3.75 v8 & distinct_lines(v2, v3) = v7 & distinct_points(v0, v1) = v6 & ( ~ (v7
% 21.30/3.75 = 0) | ~ (v6 = 0) | v9 = 0 | v8 = 0))) & ! [v0: $i] : ! [v1: $i] :
% 21.30/3.75 ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~
% 21.30/3.75 (apart_point_and_line(v1, v2) = v5) | ~ (apart_point_and_line(v0, v2) = v4)
% 21.30/3.75 | ~ (distinct_lines(v2, v3) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 21.30/3.75 $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 21.30/3.75 (apart_point_and_line(v1, v3) = v8 & apart_point_and_line(v0, v3) = v7 &
% 21.30/3.75 distinct_points(v0, v1) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0))) & ! [v0:
% 21.30/3.75 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: int]
% 21.30/3.75 : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v0, v3) = v5) | ~
% 21.30/3.75 (apart_point_and_line(v0, v2) = v4) | ~ (distinct_points(v0, v1) = 0) | ~
% 21.30/3.75 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] :
% 21.30/3.75 ? [v8: any] : (apart_point_and_line(v1, v3) = v8 & apart_point_and_line(v1,
% 21.30/3.75 v2) = v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 =
% 21.30/3.75 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 21.30/3.75 (distinct_lines(v2, v3) = 0) | ~ (distinct_points(v0, v1) = 0) | ~ $i(v3)
% 21.30/3.75 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6:
% 21.30/3.75 any] : ? [v7: any] : (apart_point_and_line(v1, v3) = v7 &
% 21.30/3.75 apart_point_and_line(v1, v2) = v6 & apart_point_and_line(v0, v3) = v5 &
% 21.30/3.75 apart_point_and_line(v0, v2) = v4 & (v7 = 0 | v6 = 0 | v5 = 0 | v4 = 0)))
% 21.30/3.75
% 21.30/3.75 (cup1)
% 21.30/3.76 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 =
% 21.30/3.76 0 | v3 = 0 | ~ (apart_point_and_line(v0, v2) = v4) | ~
% 21.30/3.76 (apart_point_and_line(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 21.30/3.76 [v5: any] : ? [v6: any] : (convergent_lines(v1, v2) = v6 &
% 21.30/3.76 distinct_lines(v1, v2) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v0: $i] : !
% 21.30/3.76 [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 = 0 | v3 = 0 | ~
% 21.30/3.76 (apart_point_and_line(v0, v2) = v3) | ~ (convergent_lines(v1, v2) = v4) |
% 21.30/3.76 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] :
% 21.30/3.76 (apart_point_and_line(v0, v1) = v6 & distinct_lines(v1, v2) = v5 & ( ~ (v5 =
% 21.30/3.76 0) | v6 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 21.30/3.76 int] : ! [v4: int] : (v4 = 0 | v3 = 0 | ~ (apart_point_and_line(v0, v1) =
% 21.30/3.76 v3) | ~ (convergent_lines(v1, v2) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 21.30/3.76 $i(v0) | ? [v5: any] : ? [v6: any] : (apart_point_and_line(v0, v2) = v6 &
% 21.30/3.76 distinct_lines(v1, v2) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v0: $i] : !
% 21.30/3.76 [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (apart_point_and_line(v0,
% 21.30/3.76 v2) = v3) | ~ (distinct_lines(v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~
% 21.30/3.76 $i(v0) | ? [v4: any] : ? [v5: any] : (apart_point_and_line(v0, v1) = v4 &
% 21.30/3.76 convergent_lines(v1, v2) = v5 & (v5 = 0 | v4 = 0))) & ! [v0: $i] : !
% 21.30/3.76 [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (apart_point_and_line(v0,
% 21.30/3.76 v1) = v3) | ~ (distinct_lines(v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~
% 21.30/3.76 $i(v0) | ? [v4: any] : ? [v5: any] : (apart_point_and_line(v0, v2) = v4 &
% 21.30/3.76 convergent_lines(v1, v2) = v5 & (v5 = 0 | v4 = 0)))
% 21.30/3.76
% 21.30/3.76 (function-axioms)
% 21.72/3.76 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 21.72/3.76 [v3: $i] : (v1 = v0 | ~ (orthogonal_lines(v3, v2) = v1) | ~
% 21.72/3.76 (orthogonal_lines(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 21.72/3.76 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 21.72/3.76 (incident_point_and_line(v3, v2) = v1) | ~ (incident_point_and_line(v3, v2)
% 21.72/3.76 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 21.72/3.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (parallel_lines(v3, v2) = v1) | ~
% 21.72/3.76 (parallel_lines(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 21.72/3.76 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 21.72/3.76 (equal_lines(v3, v2) = v1) | ~ (equal_lines(v3, v2) = v0)) & ! [v0:
% 21.72/3.76 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 21.72/3.76 : (v1 = v0 | ~ (equal_points(v3, v2) = v1) | ~ (equal_points(v3, v2) = v0))
% 21.72/3.76 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 21.72/3.76 (orthogonal_through_point(v3, v2) = v1) | ~ (orthogonal_through_point(v3,
% 21.72/3.76 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 21.72/3.76 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (unorthogonal_lines(v3, v2) = v1) |
% 21.72/3.76 ~ (unorthogonal_lines(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 21.72/3.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (parallel_through_point(v3, v2) = v1) | ~
% 21.72/3.76 (parallel_through_point(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 21.72/3.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (intersection_point(v3, v2) = v1) | ~
% 21.72/3.76 (intersection_point(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 21.72/3.76 : ! [v3: $i] : (v1 = v0 | ~ (line_connecting(v3, v2) = v1) | ~
% 21.72/3.76 (line_connecting(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 21.72/3.76 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 21.72/3.76 (apart_point_and_line(v3, v2) = v1) | ~ (apart_point_and_line(v3, v2) =
% 21.72/3.76 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 21.72/3.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (convergent_lines(v3, v2) = v1) | ~
% 21.72/3.76 (convergent_lines(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 21.72/3.76 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 21.72/3.76 (distinct_lines(v3, v2) = v1) | ~ (distinct_lines(v3, v2) = v0)) & ! [v0:
% 21.72/3.76 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 21.72/3.76 : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~ (distinct_points(v3, v2) =
% 21.72/3.76 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 21.72/3.76 $i] : (v1 = v0 | ~ (point(v2) = v1) | ~ (point(v2) = v0)) & ! [v0:
% 21.72/3.76 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 21.72/3.76 ~ (line(v2) = v1) | ~ (line(v2) = v0))
% 21.72/3.76
% 21.72/3.76 Further assumptions not needed in the proof:
% 21.72/3.76 --------------------------------------------
% 21.72/3.77 a3, a5, apart1, apart2, apart3, apart4, apart5, ax1, ax2, ax6, ceq1, ceq3, ci3,
% 21.72/3.77 ci4, coipo1, cotno1, couo1, cp1, cp2, int1, oac1, occu1, ooc1, ooc2, orth1,
% 21.72/3.77 ouo1, p1, par1
% 21.72/3.77
% 21.72/3.77 Those formulas are unsatisfiable:
% 21.72/3.77 ---------------------------------
% 21.72/3.77
% 21.72/3.77 Begin of proof
% 21.72/3.77 |
% 21.72/3.77 | ALPHA: (ci1) implies:
% 21.72/3.77 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (distinct_points(v0, v1) = 0) | ~
% 21.72/3.77 | $i(v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) &
% 21.72/3.77 | line_connecting(v0, v1) = v2 & apart_point_and_line(v0, v2) = v3 &
% 21.72/3.77 | $i(v2)))
% 21.72/3.77 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (line_connecting(v0, v1)
% 21.72/3.77 | = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 21.72/3.77 | (apart_point_and_line(v0, v2) = v4 & distinct_points(v0, v1) = v3 & (
% 21.72/3.77 | ~ (v4 = 0) | ~ (v3 = 0))))
% 21.72/3.77 |
% 21.72/3.77 | ALPHA: (ci2) implies:
% 21.72/3.77 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ (distinct_points(v0, v1) = 0) | ~
% 21.72/3.77 | $i(v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) &
% 21.72/3.77 | line_connecting(v0, v1) = v2 & apart_point_and_line(v1, v2) = v3 &
% 21.72/3.77 | $i(v2)))
% 21.72/3.77 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (line_connecting(v0, v1)
% 21.72/3.77 | = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 21.72/3.77 | (apart_point_and_line(v1, v2) = v4 & distinct_points(v0, v1) = v3 & (
% 21.72/3.77 | ~ (v4 = 0) | ~ (v3 = 0))))
% 21.72/3.77 |
% 21.72/3.77 | ALPHA: (cu1) implies:
% 21.72/3.77 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 21.72/3.77 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v2) = v5)
% 21.72/3.77 | | ~ (apart_point_and_line(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~
% 21.72/3.77 | $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ?
% 21.72/3.77 | [v9: any] : (apart_point_and_line(v1, v3) = v9 &
% 21.72/3.77 | apart_point_and_line(v0, v2) = v8 & distinct_lines(v2, v3) = v7 &
% 21.72/3.77 | distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0
% 21.72/3.77 | | v8 = 0)))
% 21.72/3.78 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 21.72/3.78 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = v5)
% 21.72/3.78 | | ~ (apart_point_and_line(v0, v2) = v4) | ~ $i(v3) | ~ $i(v2) | ~
% 21.72/3.78 | $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ?
% 21.72/3.78 | [v9: any] : (apart_point_and_line(v1, v2) = v9 &
% 21.72/3.78 | apart_point_and_line(v0, v3) = v8 & distinct_lines(v2, v3) = v7 &
% 21.72/3.78 | distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0
% 21.72/3.78 | | v8 = 0)))
% 21.72/3.78 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 21.72/3.78 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = v5)
% 21.72/3.78 | | ~ (apart_point_and_line(v1, v2) = v4) | ~ (distinct_points(v0,
% 21.72/3.78 | v1) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 21.72/3.78 | [v6: any] : ? [v7: any] : ? [v8: any] : (apart_point_and_line(v0,
% 21.72/3.78 | v3) = v8 & apart_point_and_line(v0, v2) = v7 & distinct_lines(v2,
% 21.72/3.78 | v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0)))
% 21.72/3.78 |
% 21.72/3.78 | ALPHA: (ceq2) implies:
% 21.72/3.78 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 21.72/3.78 | (apart_point_and_line(v0, v2) = v3) | ~ (apart_point_and_line(v0,
% 21.72/3.78 | v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | distinct_lines(v1,
% 21.72/3.78 | v2) = 0)
% 21.72/3.78 |
% 21.72/3.78 | ALPHA: (cup1) implies:
% 21.72/3.78 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] :
% 21.72/3.78 | (v4 = 0 | v3 = 0 | ~ (apart_point_and_line(v0, v2) = v4) | ~
% 21.72/3.78 | (apart_point_and_line(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 21.72/3.78 | $i(v0) | ? [v5: any] : ? [v6: any] : (convergent_lines(v1, v2) = v6
% 21.72/3.78 | & distinct_lines(v1, v2) = v5 & ( ~ (v5 = 0) | v6 = 0)))
% 21.72/3.78 |
% 21.72/3.78 | ALPHA: (con1) implies:
% 21.72/3.78 | (10) ! [v0: $i] : ! [v1: $i] : ( ~ (distinct_points(v0, v1) = 0) | ~
% 21.72/3.78 | $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: $i] : ?
% 21.72/3.78 | [v5: any] : (point(v1) = v3 & point(v0) = v2 & line(v4) = v5 &
% 21.72/3.78 | line_connecting(v0, v1) = v4 & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0)
% 21.72/3.78 | | v5 = 0)))
% 21.72/3.78 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (line_connecting(v0, v1)
% 21.72/3.78 | = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ?
% 21.72/3.78 | [v5: any] : ? [v6: any] : (point(v1) = v4 & point(v0) = v3 &
% 21.72/3.78 | line(v2) = v6 & distinct_points(v0, v1) = v5 & ( ~ (v5 = 0) | ~
% 21.72/3.78 | (v4 = 0) | ~ (v3 = 0) | v6 = 0)))
% 21.72/3.78 |
% 21.72/3.78 | ALPHA: (a4) implies:
% 21.72/3.78 | (12) ! [v0: $i] : ! [v1: $i] : ( ~ (incident_point_and_line(v0, v1) = 0)
% 21.72/3.78 | | ~ $i(v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) &
% 21.72/3.78 | apart_point_and_line(v0, v1) = v2))
% 21.72/3.78 | (13) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 21.72/3.78 | (incident_point_and_line(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) |
% 21.72/3.78 | apart_point_and_line(v0, v1) = 0)
% 21.72/3.78 |
% 21.72/3.78 | ALPHA: (function-axioms) implies:
% 21.72/3.78 | (14) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 21.72/3.78 | : ! [v3: $i] : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~
% 21.72/3.78 | (distinct_points(v3, v2) = v0))
% 21.72/3.79 | (15) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 21.72/3.79 | : ! [v3: $i] : (v1 = v0 | ~ (distinct_lines(v3, v2) = v1) | ~
% 21.72/3.79 | (distinct_lines(v3, v2) = v0))
% 21.72/3.79 | (16) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 21.72/3.79 | : ! [v3: $i] : (v1 = v0 | ~ (apart_point_and_line(v3, v2) = v1) | ~
% 21.72/3.79 | (apart_point_and_line(v3, v2) = v0))
% 21.72/3.79 | (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 21.72/3.79 | (line_connecting(v3, v2) = v1) | ~ (line_connecting(v3, v2) = v0))
% 21.72/3.79 |
% 21.72/3.79 | DELTA: instantiating (con) with fresh symbols all_38_0, all_38_1, all_38_2,
% 21.72/3.79 | all_38_3, all_38_4, all_38_5 gives:
% 21.72/3.79 | (18) ~ (all_38_0 = 0) & incident_point_and_line(all_38_3, all_38_2) = 0 &
% 21.72/3.79 | incident_point_and_line(all_38_4, all_38_1) = all_38_0 &
% 21.72/3.79 | line_connecting(all_38_5, all_38_3) = all_38_1 &
% 21.72/3.79 | line_connecting(all_38_5, all_38_4) = all_38_2 &
% 21.72/3.79 | distinct_points(all_38_4, all_38_3) = 0 & distinct_points(all_38_5,
% 21.72/3.79 | all_38_3) = 0 & distinct_points(all_38_5, all_38_4) = 0 &
% 21.72/3.79 | $i(all_38_1) & $i(all_38_2) & $i(all_38_3) & $i(all_38_4) &
% 21.72/3.79 | $i(all_38_5)
% 21.72/3.79 |
% 21.72/3.79 | ALPHA: (18) implies:
% 21.72/3.79 | (19) ~ (all_38_0 = 0)
% 21.72/3.79 | (20) $i(all_38_5)
% 21.72/3.79 | (21) $i(all_38_4)
% 21.72/3.79 | (22) $i(all_38_3)
% 21.72/3.79 | (23) $i(all_38_2)
% 21.72/3.79 | (24) $i(all_38_1)
% 21.72/3.79 | (25) distinct_points(all_38_5, all_38_4) = 0
% 21.87/3.79 | (26) distinct_points(all_38_5, all_38_3) = 0
% 21.87/3.79 | (27) distinct_points(all_38_4, all_38_3) = 0
% 21.87/3.79 | (28) line_connecting(all_38_5, all_38_4) = all_38_2
% 21.87/3.79 | (29) line_connecting(all_38_5, all_38_3) = all_38_1
% 21.87/3.79 | (30) incident_point_and_line(all_38_4, all_38_1) = all_38_0
% 21.87/3.79 | (31) incident_point_and_line(all_38_3, all_38_2) = 0
% 21.87/3.79 |
% 21.87/3.79 | GROUND_INST: instantiating (10) with all_38_5, all_38_4, simplifying with
% 21.87/3.79 | (20), (21), (25) gives:
% 21.87/3.79 | (32) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] :
% 21.87/3.79 | (point(all_38_4) = v1 & point(all_38_5) = v0 & line(v2) = v3 &
% 21.87/3.79 | line_connecting(all_38_5, all_38_4) = v2 & $i(v2) & ( ~ (v1 = 0) |
% 21.87/3.79 | ~ (v0 = 0) | v3 = 0))
% 21.87/3.79 |
% 21.87/3.80 | GROUND_INST: instantiating (3) with all_38_5, all_38_4, simplifying with (20),
% 21.87/3.80 | (21), (25) gives:
% 21.87/3.80 | (33) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_38_5,
% 21.87/3.80 | all_38_4) = v0 & apart_point_and_line(all_38_4, v0) = v1 & $i(v0))
% 21.87/3.80 |
% 21.87/3.80 | GROUND_INST: instantiating (1) with all_38_5, all_38_4, simplifying with (20),
% 21.87/3.80 | (21), (25) gives:
% 21.87/3.80 | (34) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_38_5,
% 21.87/3.80 | all_38_4) = v0 & apart_point_and_line(all_38_5, v0) = v1 & $i(v0))
% 21.87/3.80 |
% 21.87/3.80 | GROUND_INST: instantiating (10) with all_38_5, all_38_3, simplifying with
% 21.87/3.80 | (20), (22), (26) gives:
% 21.87/3.80 | (35) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] :
% 21.87/3.80 | (point(all_38_3) = v1 & point(all_38_5) = v0 & line(v2) = v3 &
% 21.87/3.80 | line_connecting(all_38_5, all_38_3) = v2 & $i(v2) & ( ~ (v1 = 0) |
% 21.87/3.80 | ~ (v0 = 0) | v3 = 0))
% 21.87/3.80 |
% 21.87/3.80 | GROUND_INST: instantiating (3) with all_38_5, all_38_3, simplifying with (20),
% 21.87/3.80 | (22), (26) gives:
% 21.87/3.80 | (36) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_38_5,
% 21.87/3.80 | all_38_3) = v0 & apart_point_and_line(all_38_3, v0) = v1 & $i(v0))
% 21.87/3.80 |
% 21.87/3.80 | GROUND_INST: instantiating (1) with all_38_5, all_38_3, simplifying with (20),
% 21.87/3.80 | (22), (26) gives:
% 21.87/3.80 | (37) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_38_5,
% 21.87/3.80 | all_38_3) = v0 & apart_point_and_line(all_38_5, v0) = v1 & $i(v0))
% 21.87/3.80 |
% 21.87/3.80 | GROUND_INST: instantiating (10) with all_38_4, all_38_3, simplifying with
% 21.87/3.80 | (21), (22), (27) gives:
% 21.87/3.80 | (38) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] :
% 21.87/3.80 | (point(all_38_3) = v1 & point(all_38_4) = v0 & line(v2) = v3 &
% 21.87/3.80 | line_connecting(all_38_4, all_38_3) = v2 & $i(v2) & ( ~ (v1 = 0) |
% 21.87/3.80 | ~ (v0 = 0) | v3 = 0))
% 21.87/3.80 |
% 21.87/3.80 | GROUND_INST: instantiating (3) with all_38_4, all_38_3, simplifying with (21),
% 21.87/3.80 | (22), (27) gives:
% 21.87/3.80 | (39) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_38_4,
% 21.87/3.80 | all_38_3) = v0 & apart_point_and_line(all_38_3, v0) = v1 & $i(v0))
% 21.87/3.80 |
% 21.87/3.80 | GROUND_INST: instantiating (1) with all_38_4, all_38_3, simplifying with (21),
% 21.87/3.80 | (22), (27) gives:
% 21.87/3.80 | (40) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_38_4,
% 21.87/3.80 | all_38_3) = v0 & apart_point_and_line(all_38_4, v0) = v1 & $i(v0))
% 21.87/3.80 |
% 21.87/3.80 | GROUND_INST: instantiating (11) with all_38_5, all_38_4, all_38_2, simplifying
% 21.87/3.80 | with (20), (21), (28) gives:
% 21.87/3.80 | (41) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 21.87/3.80 | (point(all_38_4) = v1 & point(all_38_5) = v0 & line(all_38_2) = v3 &
% 21.87/3.80 | distinct_points(all_38_5, all_38_4) = v2 & ( ~ (v2 = 0) | ~ (v1 =
% 21.87/3.80 | 0) | ~ (v0 = 0) | v3 = 0))
% 21.87/3.80 |
% 21.87/3.80 | GROUND_INST: instantiating (4) with all_38_5, all_38_4, all_38_2, simplifying
% 21.87/3.80 | with (20), (21), (28) gives:
% 21.87/3.80 | (42) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_38_4,
% 21.87/3.80 | all_38_2) = v1 & distinct_points(all_38_5, all_38_4) = v0 & ( ~
% 21.87/3.80 | (v1 = 0) | ~ (v0 = 0)))
% 21.87/3.80 |
% 21.87/3.80 | GROUND_INST: instantiating (2) with all_38_5, all_38_4, all_38_2, simplifying
% 21.87/3.80 | with (20), (21), (28) gives:
% 21.87/3.80 | (43) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_38_5,
% 21.87/3.80 | all_38_2) = v1 & distinct_points(all_38_5, all_38_4) = v0 & ( ~
% 21.87/3.80 | (v1 = 0) | ~ (v0 = 0)))
% 21.87/3.81 |
% 21.87/3.81 | GROUND_INST: instantiating (11) with all_38_5, all_38_3, all_38_1, simplifying
% 21.87/3.81 | with (20), (22), (29) gives:
% 21.87/3.81 | (44) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 21.87/3.81 | (point(all_38_3) = v1 & point(all_38_5) = v0 & line(all_38_1) = v3 &
% 21.87/3.81 | distinct_points(all_38_5, all_38_3) = v2 & ( ~ (v2 = 0) | ~ (v1 =
% 21.87/3.81 | 0) | ~ (v0 = 0) | v3 = 0))
% 21.87/3.81 |
% 21.87/3.81 | GROUND_INST: instantiating (4) with all_38_5, all_38_3, all_38_1, simplifying
% 21.87/3.81 | with (20), (22), (29) gives:
% 21.87/3.81 | (45) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_38_3,
% 21.87/3.81 | all_38_1) = v1 & distinct_points(all_38_5, all_38_3) = v0 & ( ~
% 21.87/3.81 | (v1 = 0) | ~ (v0 = 0)))
% 21.87/3.81 |
% 21.87/3.81 | GROUND_INST: instantiating (2) with all_38_5, all_38_3, all_38_1, simplifying
% 21.87/3.81 | with (20), (22), (29) gives:
% 21.87/3.81 | (46) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_38_5,
% 21.87/3.81 | all_38_1) = v1 & distinct_points(all_38_5, all_38_3) = v0 & ( ~
% 21.87/3.81 | (v1 = 0) | ~ (v0 = 0)))
% 21.87/3.81 |
% 21.87/3.81 | GROUND_INST: instantiating (13) with all_38_4, all_38_1, all_38_0, simplifying
% 21.87/3.81 | with (21), (24), (30) gives:
% 21.87/3.81 | (47) all_38_0 = 0 | apart_point_and_line(all_38_4, all_38_1) = 0
% 21.87/3.81 |
% 21.87/3.81 | GROUND_INST: instantiating (12) with all_38_3, all_38_2, simplifying with
% 21.87/3.81 | (22), (23), (31) gives:
% 21.87/3.81 | (48) ? [v0: int] : ( ~ (v0 = 0) & apart_point_and_line(all_38_3, all_38_2)
% 21.87/3.81 | = v0)
% 21.87/3.81 |
% 21.87/3.81 | DELTA: instantiating (48) with fresh symbol all_45_0 gives:
% 21.87/3.81 | (49) ~ (all_45_0 = 0) & apart_point_and_line(all_38_3, all_38_2) =
% 21.87/3.81 | all_45_0
% 21.87/3.81 |
% 21.87/3.81 | ALPHA: (49) implies:
% 21.87/3.81 | (50) ~ (all_45_0 = 0)
% 21.87/3.81 | (51) apart_point_and_line(all_38_3, all_38_2) = all_45_0
% 21.87/3.81 |
% 21.87/3.81 | DELTA: instantiating (39) with fresh symbols all_53_0, all_53_1 gives:
% 21.87/3.81 | (52) ~ (all_53_0 = 0) & line_connecting(all_38_4, all_38_3) = all_53_1 &
% 21.87/3.81 | apart_point_and_line(all_38_3, all_53_1) = all_53_0 & $i(all_53_1)
% 21.87/3.81 |
% 21.87/3.81 | ALPHA: (52) implies:
% 21.87/3.81 | (53) ~ (all_53_0 = 0)
% 21.87/3.81 | (54) apart_point_and_line(all_38_3, all_53_1) = all_53_0
% 21.87/3.81 | (55) line_connecting(all_38_4, all_38_3) = all_53_1
% 21.87/3.81 |
% 21.87/3.81 | DELTA: instantiating (43) with fresh symbols all_55_0, all_55_1 gives:
% 21.87/3.81 | (56) apart_point_and_line(all_38_5, all_38_2) = all_55_0 &
% 21.87/3.81 | distinct_points(all_38_5, all_38_4) = all_55_1 & ( ~ (all_55_0 = 0) |
% 21.87/3.81 | ~ (all_55_1 = 0))
% 21.87/3.81 |
% 21.87/3.81 | ALPHA: (56) implies:
% 21.87/3.81 | (57) distinct_points(all_38_5, all_38_4) = all_55_1
% 21.87/3.81 | (58) apart_point_and_line(all_38_5, all_38_2) = all_55_0
% 21.87/3.81 |
% 21.87/3.81 | DELTA: instantiating (40) with fresh symbols all_57_0, all_57_1 gives:
% 21.87/3.81 | (59) ~ (all_57_0 = 0) & line_connecting(all_38_4, all_38_3) = all_57_1 &
% 21.87/3.81 | apart_point_and_line(all_38_4, all_57_1) = all_57_0 & $i(all_57_1)
% 21.87/3.81 |
% 21.87/3.81 | ALPHA: (59) implies:
% 21.87/3.81 | (60) ~ (all_57_0 = 0)
% 21.87/3.81 | (61) $i(all_57_1)
% 21.87/3.81 | (62) apart_point_and_line(all_38_4, all_57_1) = all_57_0
% 21.87/3.81 | (63) line_connecting(all_38_4, all_38_3) = all_57_1
% 21.87/3.81 |
% 21.87/3.81 | DELTA: instantiating (36) with fresh symbols all_59_0, all_59_1 gives:
% 21.87/3.81 | (64) ~ (all_59_0 = 0) & line_connecting(all_38_5, all_38_3) = all_59_1 &
% 21.87/3.81 | apart_point_and_line(all_38_3, all_59_1) = all_59_0 & $i(all_59_1)
% 21.87/3.81 |
% 21.87/3.81 | ALPHA: (64) implies:
% 21.87/3.81 | (65) $i(all_59_1)
% 21.87/3.81 | (66) apart_point_and_line(all_38_3, all_59_1) = all_59_0
% 21.87/3.81 | (67) line_connecting(all_38_5, all_38_3) = all_59_1
% 21.87/3.81 |
% 21.87/3.81 | DELTA: instantiating (33) with fresh symbols all_61_0, all_61_1 gives:
% 21.87/3.81 | (68) ~ (all_61_0 = 0) & line_connecting(all_38_5, all_38_4) = all_61_1 &
% 21.87/3.81 | apart_point_and_line(all_38_4, all_61_1) = all_61_0 & $i(all_61_1)
% 21.87/3.81 |
% 21.87/3.81 | ALPHA: (68) implies:
% 21.87/3.81 | (69) $i(all_61_1)
% 21.87/3.81 | (70) apart_point_and_line(all_38_4, all_61_1) = all_61_0
% 21.87/3.81 | (71) line_connecting(all_38_5, all_38_4) = all_61_1
% 21.87/3.81 |
% 21.87/3.81 | DELTA: instantiating (46) with fresh symbols all_63_0, all_63_1 gives:
% 21.87/3.81 | (72) apart_point_and_line(all_38_5, all_38_1) = all_63_0 &
% 21.87/3.81 | distinct_points(all_38_5, all_38_3) = all_63_1 & ( ~ (all_63_0 = 0) |
% 21.87/3.81 | ~ (all_63_1 = 0))
% 21.87/3.81 |
% 21.87/3.81 | ALPHA: (72) implies:
% 21.87/3.81 | (73) distinct_points(all_38_5, all_38_3) = all_63_1
% 21.87/3.81 | (74) apart_point_and_line(all_38_5, all_38_1) = all_63_0
% 21.87/3.81 |
% 21.87/3.81 | DELTA: instantiating (42) with fresh symbols all_65_0, all_65_1 gives:
% 21.87/3.81 | (75) apart_point_and_line(all_38_4, all_38_2) = all_65_0 &
% 21.87/3.81 | distinct_points(all_38_5, all_38_4) = all_65_1 & ( ~ (all_65_0 = 0) |
% 21.87/3.81 | ~ (all_65_1 = 0))
% 21.87/3.81 |
% 21.87/3.81 | ALPHA: (75) implies:
% 21.87/3.81 | (76) distinct_points(all_38_5, all_38_4) = all_65_1
% 21.87/3.81 | (77) apart_point_and_line(all_38_4, all_38_2) = all_65_0
% 21.87/3.81 | (78) ~ (all_65_0 = 0) | ~ (all_65_1 = 0)
% 21.87/3.81 |
% 21.87/3.81 | DELTA: instantiating (37) with fresh symbols all_67_0, all_67_1 gives:
% 21.87/3.82 | (79) ~ (all_67_0 = 0) & line_connecting(all_38_5, all_38_3) = all_67_1 &
% 21.87/3.82 | apart_point_and_line(all_38_5, all_67_1) = all_67_0 & $i(all_67_1)
% 21.87/3.82 |
% 21.87/3.82 | ALPHA: (79) implies:
% 21.87/3.82 | (80) ~ (all_67_0 = 0)
% 21.87/3.82 | (81) apart_point_and_line(all_38_5, all_67_1) = all_67_0
% 21.87/3.82 | (82) line_connecting(all_38_5, all_38_3) = all_67_1
% 21.87/3.82 |
% 21.87/3.82 | DELTA: instantiating (45) with fresh symbols all_69_0, all_69_1 gives:
% 21.87/3.82 | (83) apart_point_and_line(all_38_3, all_38_1) = all_69_0 &
% 21.87/3.82 | distinct_points(all_38_5, all_38_3) = all_69_1 & ( ~ (all_69_0 = 0) |
% 21.87/3.82 | ~ (all_69_1 = 0))
% 21.87/3.82 |
% 21.87/3.82 | ALPHA: (83) implies:
% 21.87/3.82 | (84) distinct_points(all_38_5, all_38_3) = all_69_1
% 21.87/3.82 | (85) apart_point_and_line(all_38_3, all_38_1) = all_69_0
% 21.87/3.82 | (86) ~ (all_69_0 = 0) | ~ (all_69_1 = 0)
% 21.87/3.82 |
% 21.87/3.82 | DELTA: instantiating (34) with fresh symbols all_71_0, all_71_1 gives:
% 21.87/3.82 | (87) ~ (all_71_0 = 0) & line_connecting(all_38_5, all_38_4) = all_71_1 &
% 21.87/3.82 | apart_point_and_line(all_38_5, all_71_1) = all_71_0 & $i(all_71_1)
% 21.87/3.82 |
% 21.87/3.82 | ALPHA: (87) implies:
% 21.87/3.82 | (88) ~ (all_71_0 = 0)
% 21.87/3.82 | (89) apart_point_and_line(all_38_5, all_71_1) = all_71_0
% 21.87/3.82 | (90) line_connecting(all_38_5, all_38_4) = all_71_1
% 21.87/3.82 |
% 21.87/3.82 | DELTA: instantiating (38) with fresh symbols all_73_0, all_73_1, all_73_2,
% 21.87/3.82 | all_73_3 gives:
% 21.87/3.82 | (91) point(all_38_3) = all_73_2 & point(all_38_4) = all_73_3 &
% 21.87/3.82 | line(all_73_1) = all_73_0 & line_connecting(all_38_4, all_38_3) =
% 21.87/3.82 | all_73_1 & $i(all_73_1) & ( ~ (all_73_2 = 0) | ~ (all_73_3 = 0) |
% 21.87/3.82 | all_73_0 = 0)
% 21.87/3.82 |
% 21.87/3.82 | ALPHA: (91) implies:
% 21.87/3.82 | (92) line_connecting(all_38_4, all_38_3) = all_73_1
% 21.87/3.82 |
% 21.87/3.82 | DELTA: instantiating (41) with fresh symbols all_75_0, all_75_1, all_75_2,
% 21.87/3.82 | all_75_3 gives:
% 21.87/3.82 | (93) point(all_38_4) = all_75_2 & point(all_38_5) = all_75_3 &
% 21.87/3.82 | line(all_38_2) = all_75_0 & distinct_points(all_38_5, all_38_4) =
% 21.87/3.82 | all_75_1 & ( ~ (all_75_1 = 0) | ~ (all_75_2 = 0) | ~ (all_75_3 = 0)
% 21.87/3.82 | | all_75_0 = 0)
% 21.87/3.82 |
% 21.87/3.82 | ALPHA: (93) implies:
% 21.87/3.82 | (94) distinct_points(all_38_5, all_38_4) = all_75_1
% 21.87/3.82 |
% 21.87/3.82 | DELTA: instantiating (35) with fresh symbols all_77_0, all_77_1, all_77_2,
% 21.87/3.82 | all_77_3 gives:
% 21.87/3.82 | (95) point(all_38_3) = all_77_2 & point(all_38_5) = all_77_3 &
% 21.87/3.82 | line(all_77_1) = all_77_0 & line_connecting(all_38_5, all_38_3) =
% 21.87/3.82 | all_77_1 & $i(all_77_1) & ( ~ (all_77_2 = 0) | ~ (all_77_3 = 0) |
% 21.87/3.82 | all_77_0 = 0)
% 21.87/3.82 |
% 21.87/3.82 | ALPHA: (95) implies:
% 21.87/3.82 | (96) line_connecting(all_38_5, all_38_3) = all_77_1
% 21.87/3.82 |
% 21.87/3.82 | DELTA: instantiating (32) with fresh symbols all_79_0, all_79_1, all_79_2,
% 21.87/3.82 | all_79_3 gives:
% 21.87/3.82 | (97) point(all_38_4) = all_79_2 & point(all_38_5) = all_79_3 &
% 21.87/3.82 | line(all_79_1) = all_79_0 & line_connecting(all_38_5, all_38_4) =
% 21.87/3.82 | all_79_1 & $i(all_79_1) & ( ~ (all_79_2 = 0) | ~ (all_79_3 = 0) |
% 21.87/3.82 | all_79_0 = 0)
% 21.87/3.82 |
% 21.87/3.82 | ALPHA: (97) implies:
% 21.87/3.82 | (98) line_connecting(all_38_5, all_38_4) = all_79_1
% 21.87/3.82 |
% 21.87/3.82 | DELTA: instantiating (44) with fresh symbols all_81_0, all_81_1, all_81_2,
% 21.87/3.82 | all_81_3 gives:
% 21.87/3.82 | (99) point(all_38_3) = all_81_2 & point(all_38_5) = all_81_3 &
% 21.87/3.82 | line(all_38_1) = all_81_0 & distinct_points(all_38_5, all_38_3) =
% 21.87/3.82 | all_81_1 & ( ~ (all_81_1 = 0) | ~ (all_81_2 = 0) | ~ (all_81_3 = 0)
% 21.87/3.82 | | all_81_0 = 0)
% 21.87/3.82 |
% 21.87/3.82 | ALPHA: (99) implies:
% 21.87/3.82 | (100) distinct_points(all_38_5, all_38_3) = all_81_1
% 21.87/3.82 |
% 21.87/3.82 | BETA: splitting (47) gives:
% 21.87/3.82 |
% 21.87/3.82 | Case 1:
% 21.87/3.82 | |
% 21.87/3.82 | | (101) apart_point_and_line(all_38_4, all_38_1) = 0
% 21.87/3.82 | |
% 21.87/3.82 | | GROUND_INST: instantiating (14) with 0, all_65_1, all_38_4, all_38_5,
% 21.87/3.82 | | simplifying with (25), (76) gives:
% 21.87/3.82 | | (102) all_65_1 = 0
% 21.87/3.82 | |
% 21.87/3.82 | | GROUND_INST: instantiating (14) with all_65_1, all_75_1, all_38_4, all_38_5,
% 21.87/3.82 | | simplifying with (76), (94) gives:
% 21.87/3.82 | | (103) all_75_1 = all_65_1
% 21.87/3.82 | |
% 21.87/3.82 | | GROUND_INST: instantiating (14) with all_55_1, all_75_1, all_38_4, all_38_5,
% 21.87/3.82 | | simplifying with (57), (94) gives:
% 21.87/3.82 | | (104) all_75_1 = all_55_1
% 21.87/3.82 | |
% 21.87/3.82 | | GROUND_INST: instantiating (14) with 0, all_69_1, all_38_3, all_38_5,
% 21.87/3.82 | | simplifying with (26), (84) gives:
% 21.87/3.82 | | (105) all_69_1 = 0
% 21.87/3.82 | |
% 21.87/3.82 | | GROUND_INST: instantiating (14) with all_69_1, all_81_1, all_38_3, all_38_5,
% 21.87/3.82 | | simplifying with (84), (100) gives:
% 21.87/3.82 | | (106) all_81_1 = all_69_1
% 21.87/3.82 | |
% 21.87/3.82 | | GROUND_INST: instantiating (14) with all_63_1, all_81_1, all_38_3, all_38_5,
% 21.87/3.82 | | simplifying with (73), (100) gives:
% 21.87/3.82 | | (107) all_81_1 = all_63_1
% 21.87/3.82 | |
% 21.87/3.82 | | GROUND_INST: instantiating (17) with all_38_2, all_71_1, all_38_4, all_38_5,
% 21.87/3.82 | | simplifying with (28), (90) gives:
% 21.87/3.82 | | (108) all_71_1 = all_38_2
% 21.87/3.82 | |
% 21.87/3.82 | | GROUND_INST: instantiating (17) with all_71_1, all_79_1, all_38_4, all_38_5,
% 21.87/3.82 | | simplifying with (90), (98) gives:
% 21.87/3.82 | | (109) all_79_1 = all_71_1
% 21.87/3.82 | |
% 21.87/3.82 | | GROUND_INST: instantiating (17) with all_61_1, all_79_1, all_38_4, all_38_5,
% 21.87/3.82 | | simplifying with (71), (98) gives:
% 21.87/3.82 | | (110) all_79_1 = all_61_1
% 21.87/3.82 | |
% 21.87/3.82 | | GROUND_INST: instantiating (17) with all_38_1, all_77_1, all_38_3, all_38_5,
% 21.87/3.82 | | simplifying with (29), (96) gives:
% 21.87/3.82 | | (111) all_77_1 = all_38_1
% 21.87/3.82 | |
% 21.87/3.83 | | GROUND_INST: instantiating (17) with all_67_1, all_77_1, all_38_3, all_38_5,
% 21.87/3.83 | | simplifying with (82), (96) gives:
% 21.87/3.83 | | (112) all_77_1 = all_67_1
% 21.87/3.83 | |
% 21.87/3.83 | | GROUND_INST: instantiating (17) with all_59_1, all_77_1, all_38_3, all_38_5,
% 21.87/3.83 | | simplifying with (67), (96) gives:
% 21.87/3.83 | | (113) all_77_1 = all_59_1
% 21.87/3.83 | |
% 21.87/3.83 | | GROUND_INST: instantiating (17) with all_57_1, all_73_1, all_38_3, all_38_4,
% 21.87/3.83 | | simplifying with (63), (92) gives:
% 21.87/3.83 | | (114) all_73_1 = all_57_1
% 21.87/3.83 | |
% 21.87/3.83 | | GROUND_INST: instantiating (17) with all_53_1, all_73_1, all_38_3, all_38_4,
% 21.87/3.83 | | simplifying with (55), (92) gives:
% 21.87/3.83 | | (115) all_73_1 = all_53_1
% 21.87/3.83 | |
% 21.87/3.83 | | COMBINE_EQS: (106), (107) imply:
% 21.87/3.83 | | (116) all_69_1 = all_63_1
% 21.87/3.83 | |
% 21.87/3.83 | | SIMP: (116) implies:
% 21.87/3.83 | | (117) all_69_1 = all_63_1
% 21.87/3.83 | |
% 21.87/3.83 | | COMBINE_EQS: (109), (110) imply:
% 21.87/3.83 | | (118) all_71_1 = all_61_1
% 21.87/3.83 | |
% 21.87/3.83 | | SIMP: (118) implies:
% 21.87/3.83 | | (119) all_71_1 = all_61_1
% 21.87/3.83 | |
% 21.87/3.83 | | COMBINE_EQS: (111), (112) imply:
% 21.87/3.83 | | (120) all_67_1 = all_38_1
% 21.87/3.83 | |
% 21.87/3.83 | | COMBINE_EQS: (112), (113) imply:
% 21.87/3.83 | | (121) all_67_1 = all_59_1
% 21.87/3.83 | |
% 21.87/3.83 | | COMBINE_EQS: (103), (104) imply:
% 21.87/3.83 | | (122) all_65_1 = all_55_1
% 21.87/3.83 | |
% 21.87/3.83 | | SIMP: (122) implies:
% 21.87/3.83 | | (123) all_65_1 = all_55_1
% 21.87/3.83 | |
% 21.87/3.83 | | COMBINE_EQS: (114), (115) imply:
% 21.87/3.83 | | (124) all_57_1 = all_53_1
% 21.87/3.83 | |
% 21.87/3.83 | | COMBINE_EQS: (108), (119) imply:
% 21.87/3.83 | | (125) all_61_1 = all_38_2
% 21.87/3.83 | |
% 21.87/3.83 | | SIMP: (125) implies:
% 21.87/3.83 | | (126) all_61_1 = all_38_2
% 21.87/3.83 | |
% 21.87/3.83 | | COMBINE_EQS: (105), (117) imply:
% 21.87/3.83 | | (127) all_63_1 = 0
% 21.87/3.83 | |
% 21.87/3.83 | | SIMP: (127) implies:
% 21.87/3.83 | | (128) all_63_1 = 0
% 21.87/3.83 | |
% 21.87/3.83 | | COMBINE_EQS: (120), (121) imply:
% 21.87/3.83 | | (129) all_59_1 = all_38_1
% 21.87/3.83 | |
% 21.87/3.83 | | SIMP: (129) implies:
% 21.87/3.83 | | (130) all_59_1 = all_38_1
% 21.87/3.83 | |
% 21.87/3.83 | | COMBINE_EQS: (102), (123) imply:
% 21.87/3.83 | | (131) all_55_1 = 0
% 21.87/3.83 | |
% 21.87/3.83 | | REDUCE: (66), (130) imply:
% 21.87/3.83 | | (132) apart_point_and_line(all_38_3, all_38_1) = all_59_0
% 21.87/3.83 | |
% 21.87/3.83 | | REDUCE: (70), (126) imply:
% 21.87/3.83 | | (133) apart_point_and_line(all_38_4, all_38_2) = all_61_0
% 21.87/3.83 | |
% 21.87/3.83 | | REDUCE: (62), (124) imply:
% 21.87/3.83 | | (134) apart_point_and_line(all_38_4, all_53_1) = all_57_0
% 21.87/3.83 | |
% 21.87/3.83 | | REDUCE: (89), (108) imply:
% 21.87/3.83 | | (135) apart_point_and_line(all_38_5, all_38_2) = all_71_0
% 21.87/3.83 | |
% 21.87/3.83 | | REDUCE: (81), (120) imply:
% 21.87/3.83 | | (136) apart_point_and_line(all_38_5, all_38_1) = all_67_0
% 21.87/3.83 | |
% 21.87/3.83 | | REDUCE: (61), (124) imply:
% 21.87/3.83 | | (137) $i(all_53_1)
% 21.87/3.83 | |
% 21.87/3.83 | | BETA: splitting (86) gives:
% 21.87/3.83 | |
% 21.87/3.83 | | Case 1:
% 21.87/3.83 | | |
% 21.87/3.83 | | | (138) ~ (all_69_0 = 0)
% 21.87/3.83 | | |
% 21.87/3.83 | | | BETA: splitting (78) gives:
% 21.87/3.83 | | |
% 21.87/3.83 | | | Case 1:
% 21.87/3.83 | | | |
% 21.87/3.83 | | | | (139) ~ (all_65_0 = 0)
% 21.87/3.83 | | | |
% 21.87/3.83 | | | | GROUND_INST: instantiating (16) with all_55_0, all_71_0, all_38_2,
% 21.87/3.83 | | | | all_38_5, simplifying with (58), (135) gives:
% 21.87/3.83 | | | | (140) all_71_0 = all_55_0
% 21.87/3.83 | | | |
% 21.87/3.83 | | | | GROUND_INST: instantiating (16) with all_63_0, all_67_0, all_38_1,
% 21.87/3.83 | | | | all_38_5, simplifying with (74), (136) gives:
% 21.87/3.83 | | | | (141) all_67_0 = all_63_0
% 21.87/3.83 | | | |
% 21.87/3.83 | | | | GROUND_INST: instantiating (16) with all_65_0, all_61_0, all_38_2,
% 21.87/3.83 | | | | all_38_4, simplifying with (77), (133) gives:
% 21.87/3.83 | | | | (142) all_65_0 = all_61_0
% 21.87/3.83 | | | |
% 21.87/3.83 | | | | GROUND_INST: instantiating (16) with all_69_0, all_59_0, all_38_1,
% 21.87/3.83 | | | | all_38_3, simplifying with (85), (132) gives:
% 21.87/3.83 | | | | (143) all_69_0 = all_59_0
% 21.87/3.83 | | | |
% 21.87/3.83 | | | | REDUCE: (88), (140) imply:
% 21.87/3.83 | | | | (144) ~ (all_55_0 = 0)
% 21.87/3.83 | | | |
% 21.87/3.83 | | | | REDUCE: (138), (143) imply:
% 21.87/3.83 | | | | (145) ~ (all_59_0 = 0)
% 21.87/3.83 | | | |
% 21.87/3.83 | | | | REDUCE: (80), (141) imply:
% 21.87/3.83 | | | | (146) ~ (all_63_0 = 0)
% 21.87/3.83 | | | |
% 21.87/3.83 | | | | REDUCE: (139), (142) imply:
% 21.87/3.83 | | | | (147) ~ (all_61_0 = 0)
% 21.87/3.83 | | | |
% 21.87/3.83 | | | | GROUND_INST: instantiating (6) with all_38_5, all_38_5, all_38_1,
% 21.87/3.83 | | | | all_38_1, all_63_0, all_63_0, simplifying with (20), (24),
% 21.87/3.83 | | | | (74) gives:
% 21.87/3.84 | | | | (148) all_63_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 21.87/3.84 | | | | [v3: any] : (apart_point_and_line(all_38_5, all_38_1) = v3 &
% 21.87/3.84 | | | | apart_point_and_line(all_38_5, all_38_1) = v2 &
% 21.87/3.84 | | | | distinct_lines(all_38_1, all_38_1) = v1 &
% 21.87/3.84 | | | | distinct_points(all_38_5, all_38_5) = v0 & ( ~ (v1 = 0) | ~
% 21.87/3.84 | | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 21.87/3.84 | | | |
% 21.87/3.84 | | | | GROUND_INST: instantiating (7) with all_38_5, all_38_4, all_38_2,
% 21.87/3.84 | | | | all_38_2, all_61_0, all_61_0, simplifying with (20), (21),
% 21.87/3.84 | | | | (23), (25), (133) gives:
% 21.87/3.84 | | | | (149) all_61_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 21.87/3.84 | | | | (apart_point_and_line(all_38_5, all_38_2) = v2 &
% 21.87/3.84 | | | | apart_point_and_line(all_38_5, all_38_2) = v1 &
% 21.87/3.84 | | | | distinct_lines(all_38_2, all_38_2) = v0 & ( ~ (v0 = 0) | v2 =
% 21.87/3.84 | | | | 0 | v1 = 0))
% 21.87/3.84 | | | |
% 21.87/3.84 | | | | GROUND_INST: instantiating (6) with all_38_4, all_38_5, all_38_2,
% 21.87/3.84 | | | | all_38_1, all_61_0, all_63_0, simplifying with (20), (21),
% 21.87/3.84 | | | | (23), (24), (74), (133) gives:
% 21.87/3.84 | | | | (150) all_63_0 = 0 | all_61_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 21.87/3.84 | | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_4,
% 21.87/3.84 | | | | all_38_1) = v2 & apart_point_and_line(all_38_5, all_38_2) =
% 21.87/3.84 | | | | v3 & distinct_lines(all_38_2, all_38_1) = v1 &
% 21.87/3.84 | | | | distinct_points(all_38_4, all_38_5) = v0 & ( ~ (v1 = 0) | ~
% 21.87/3.84 | | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 21.87/3.84 | | | |
% 21.87/3.84 | | | | GROUND_INST: instantiating (5) with all_38_5, all_38_4, all_38_2,
% 21.87/3.84 | | | | all_38_1, all_63_0, all_61_0, simplifying with (20), (21),
% 21.87/3.84 | | | | (23), (24), (74), (133) gives:
% 21.87/3.84 | | | | (151) all_63_0 = 0 | all_61_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 21.87/3.84 | | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_4,
% 21.87/3.84 | | | | all_38_1) = v3 & apart_point_and_line(all_38_5, all_38_2) =
% 21.87/3.84 | | | | v2 & distinct_lines(all_38_2, all_38_1) = v1 &
% 21.87/3.84 | | | | distinct_points(all_38_5, all_38_4) = v0 & ( ~ (v1 = 0) | ~
% 21.87/3.84 | | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 21.87/3.84 | | | |
% 21.87/3.84 | | | | GROUND_INST: instantiating (8) with all_38_4, all_38_1, all_38_2,
% 21.87/3.84 | | | | all_61_0, simplifying with (21), (23), (24), (101), (133)
% 21.87/3.84 | | | | gives:
% 21.87/3.84 | | | | (152) all_61_0 = 0 | distinct_lines(all_38_1, all_38_2) = 0
% 21.87/3.84 | | | |
% 21.87/3.84 | | | | GROUND_INST: instantiating (6) with all_38_3, all_38_4, all_38_2,
% 21.87/3.84 | | | | all_53_1, all_45_0, all_57_0, simplifying with (21), (22),
% 21.87/3.84 | | | | (23), (51), (134), (137) gives:
% 21.87/3.84 | | | | (153) all_57_0 = 0 | all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 21.87/3.84 | | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_3,
% 21.87/3.84 | | | | all_53_1) = v2 & apart_point_and_line(all_38_4, all_38_2) =
% 21.87/3.84 | | | | v3 & distinct_lines(all_38_2, all_53_1) = v1 &
% 21.87/3.84 | | | | distinct_points(all_38_3, all_38_4) = v0 & ( ~ (v1 = 0) | ~
% 21.87/3.84 | | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 21.87/3.84 | | | |
% 21.87/3.84 | | | | GROUND_INST: instantiating (6) with all_38_3, all_38_5, all_38_2,
% 21.87/3.84 | | | | all_38_2, all_45_0, all_55_0, simplifying with (20), (22),
% 21.87/3.84 | | | | (23), (51), (58) gives:
% 21.87/3.84 | | | | (154) all_55_0 = 0 | all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 21.87/3.84 | | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_3,
% 21.87/3.84 | | | | all_38_2) = v2 & apart_point_and_line(all_38_5, all_38_2) =
% 21.87/3.84 | | | | v3 & distinct_lines(all_38_2, all_38_2) = v1 &
% 21.87/3.84 | | | | distinct_points(all_38_3, all_38_5) = v0 & ( ~ (v1 = 0) | ~
% 21.87/3.84 | | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 21.87/3.84 | | | |
% 21.87/3.84 | | | | GROUND_INST: instantiating (7) with all_38_5, all_38_3, all_38_1,
% 21.87/3.84 | | | | all_38_2, all_59_0, all_45_0, simplifying with (20), (22),
% 21.87/3.84 | | | | (23), (24), (26), (51), (132) gives:
% 21.87/3.84 | | | | (155) all_59_0 = 0 | all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 21.87/3.84 | | | | [v2: any] : (apart_point_and_line(all_38_5, all_38_1) = v1 &
% 21.87/3.84 | | | | apart_point_and_line(all_38_5, all_38_2) = v2 &
% 21.87/3.84 | | | | distinct_lines(all_38_1, all_38_2) = v0 & ( ~ (v0 = 0) | v2 =
% 21.87/3.84 | | | | 0 | v1 = 0))
% 21.87/3.84 | | | |
% 21.87/3.84 | | | | GROUND_INST: instantiating (9) with all_38_3, all_38_1, all_38_2,
% 21.87/3.84 | | | | all_59_0, all_45_0, simplifying with (22), (23), (24),
% 21.87/3.84 | | | | (51), (132) gives:
% 21.87/3.84 | | | | (156) all_59_0 = 0 | all_45_0 = 0 | ? [v0: any] : ? [v1: any] :
% 21.87/3.84 | | | | (convergent_lines(all_38_1, all_38_2) = v1 &
% 21.87/3.84 | | | | distinct_lines(all_38_1, all_38_2) = v0 & ( ~ (v0 = 0) | v1 =
% 21.87/3.84 | | | | 0))
% 21.87/3.84 | | | |
% 21.87/3.84 | | | | GROUND_INST: instantiating (6) with all_38_3, all_38_4, all_38_1,
% 21.87/3.84 | | | | all_38_2, all_59_0, all_61_0, simplifying with (21), (22),
% 21.87/3.84 | | | | (23), (24), (132), (133) gives:
% 21.87/3.84 | | | | (157) all_61_0 = 0 | all_59_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 21.87/3.84 | | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_3,
% 21.87/3.84 | | | | all_38_2) = v2 & apart_point_and_line(all_38_4, all_38_1) =
% 21.87/3.84 | | | | v3 & distinct_lines(all_38_1, all_38_2) = v1 &
% 21.87/3.84 | | | | distinct_points(all_38_3, all_38_4) = v0 & ( ~ (v1 = 0) | ~
% 21.87/3.84 | | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 21.87/3.84 | | | |
% 21.87/3.84 | | | | GROUND_INST: instantiating (6) with all_38_3, all_38_5, all_38_1,
% 21.87/3.84 | | | | all_38_1, all_59_0, all_63_0, simplifying with (20), (22),
% 21.87/3.84 | | | | (24), (74), (132) gives:
% 21.87/3.84 | | | | (158) all_63_0 = 0 | all_59_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 21.87/3.84 | | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_3,
% 21.87/3.84 | | | | all_38_1) = v2 & apart_point_and_line(all_38_5, all_38_1) =
% 21.87/3.84 | | | | v3 & distinct_lines(all_38_1, all_38_1) = v1 &
% 21.87/3.84 | | | | distinct_points(all_38_3, all_38_5) = v0 & ( ~ (v1 = 0) | ~
% 21.87/3.84 | | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 21.87/3.84 | | | |
% 21.87/3.84 | | | | GROUND_INST: instantiating (6) with all_38_3, all_38_5, all_38_1,
% 21.87/3.84 | | | | all_38_2, all_59_0, all_55_0, simplifying with (20), (22),
% 21.87/3.84 | | | | (23), (24), (58), (132) gives:
% 21.87/3.85 | | | | (159) all_59_0 = 0 | all_55_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 21.87/3.85 | | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_3,
% 21.87/3.85 | | | | all_38_2) = v2 & apart_point_and_line(all_38_5, all_38_1) =
% 21.87/3.85 | | | | v3 & distinct_lines(all_38_1, all_38_2) = v1 &
% 21.87/3.85 | | | | distinct_points(all_38_3, all_38_5) = v0 & ( ~ (v1 = 0) | ~
% 21.87/3.85 | | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 21.87/3.85 | | | |
% 21.87/3.85 | | | | GROUND_INST: instantiating (5) with all_38_3, all_38_5, all_38_2,
% 21.87/3.85 | | | | all_38_1, all_59_0, all_55_0, simplifying with (20), (22),
% 21.87/3.85 | | | | (23), (24), (58), (132) gives:
% 21.87/3.85 | | | | (160) all_59_0 = 0 | all_55_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 21.87/3.85 | | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_3,
% 21.87/3.85 | | | | all_38_2) = v2 & apart_point_and_line(all_38_5, all_38_1) =
% 21.87/3.85 | | | | v3 & distinct_lines(all_38_2, all_38_1) = v1 &
% 21.87/3.85 | | | | distinct_points(all_38_3, all_38_5) = v0 & ( ~ (v1 = 0) | ~
% 21.87/3.85 | | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 21.87/3.85 | | | |
% 21.87/3.85 | | | | GROUND_INST: instantiating (7) with all_38_5, all_38_3, all_53_1,
% 21.87/3.85 | | | | all_38_1, all_53_0, all_59_0, simplifying with (20), (22),
% 21.87/3.85 | | | | (24), (26), (54), (132), (137) gives:
% 21.87/3.85 | | | | (161) all_59_0 = 0 | all_53_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 21.87/3.85 | | | | [v2: any] : (apart_point_and_line(all_38_5, all_53_1) = v1 &
% 21.87/3.85 | | | | apart_point_and_line(all_38_5, all_38_1) = v2 &
% 21.87/3.85 | | | | distinct_lines(all_53_1, all_38_1) = v0 & ( ~ (v0 = 0) | v2 =
% 21.87/3.85 | | | | 0 | v1 = 0))
% 21.87/3.85 | | | |
% 21.87/3.85 | | | | GROUND_INST: instantiating (7) with all_38_5, all_38_3, all_38_2,
% 21.87/3.85 | | | | all_53_1, all_45_0, all_53_0, simplifying with (20), (22),
% 21.87/3.85 | | | | (23), (26), (51), (54), (137) gives:
% 21.87/3.85 | | | | (162) all_53_0 = 0 | all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 21.87/3.85 | | | | [v2: any] : (apart_point_and_line(all_38_5, all_53_1) = v2 &
% 21.87/3.85 | | | | apart_point_and_line(all_38_5, all_38_2) = v1 &
% 21.87/3.85 | | | | distinct_lines(all_38_2, all_53_1) = v0 & ( ~ (v0 = 0) | v2 =
% 21.87/3.85 | | | | 0 | v1 = 0))
% 21.87/3.85 | | | |
% 21.87/3.85 | | | | BETA: splitting (152) gives:
% 21.87/3.85 | | | |
% 21.87/3.85 | | | | Case 1:
% 21.87/3.85 | | | | |
% 21.87/3.85 | | | | | (163) distinct_lines(all_38_1, all_38_2) = 0
% 21.87/3.85 | | | | |
% 21.87/3.85 | | | | | BETA: splitting (148) gives:
% 21.87/3.85 | | | | |
% 21.87/3.85 | | | | | Case 1:
% 21.87/3.85 | | | | | |
% 21.87/3.85 | | | | | | (164) all_63_0 = 0
% 21.87/3.85 | | | | | |
% 21.87/3.85 | | | | | | REDUCE: (146), (164) imply:
% 21.87/3.85 | | | | | | (165) $false
% 21.87/3.85 | | | | | |
% 21.87/3.85 | | | | | | CLOSE: (165) is inconsistent.
% 21.87/3.85 | | | | | |
% 21.87/3.85 | | | | | Case 2:
% 21.87/3.85 | | | | | |
% 21.87/3.85 | | | | | | (166) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 21.87/3.85 | | | | | | (apart_point_and_line(all_38_5, all_38_1) = v3 &
% 21.87/3.85 | | | | | | apart_point_and_line(all_38_5, all_38_1) = v2 &
% 21.87/3.85 | | | | | | distinct_lines(all_38_1, all_38_1) = v1 &
% 21.87/3.85 | | | | | | distinct_points(all_38_5, all_38_5) = v0 & ( ~ (v1 = 0) |
% 21.87/3.85 | | | | | | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.87/3.85 | | | | | |
% 21.87/3.85 | | | | | | DELTA: instantiating (166) with fresh symbols all_141_0, all_141_1,
% 21.87/3.85 | | | | | | all_141_2, all_141_3 gives:
% 21.87/3.85 | | | | | | (167) apart_point_and_line(all_38_5, all_38_1) = all_141_0 &
% 21.87/3.85 | | | | | | apart_point_and_line(all_38_5, all_38_1) = all_141_1 &
% 21.87/3.85 | | | | | | distinct_lines(all_38_1, all_38_1) = all_141_2 &
% 21.87/3.85 | | | | | | distinct_points(all_38_5, all_38_5) = all_141_3 & ( ~
% 21.87/3.85 | | | | | | (all_141_2 = 0) | ~ (all_141_3 = 0) | all_141_0 = 0 |
% 21.87/3.85 | | | | | | all_141_1 = 0)
% 21.87/3.85 | | | | | |
% 21.87/3.85 | | | | | | ALPHA: (167) implies:
% 21.87/3.85 | | | | | | (168) apart_point_and_line(all_38_5, all_38_1) = all_141_1
% 21.87/3.85 | | | | | | (169) apart_point_and_line(all_38_5, all_38_1) = all_141_0
% 21.87/3.85 | | | | | |
% 21.87/3.85 | | | | | | BETA: splitting (151) gives:
% 21.87/3.85 | | | | | |
% 21.87/3.85 | | | | | | Case 1:
% 21.87/3.85 | | | | | | |
% 21.87/3.85 | | | | | | | (170) all_63_0 = 0
% 21.87/3.85 | | | | | | |
% 21.87/3.85 | | | | | | | REDUCE: (146), (170) imply:
% 21.87/3.85 | | | | | | | (171) $false
% 21.87/3.85 | | | | | | |
% 21.87/3.85 | | | | | | | CLOSE: (171) is inconsistent.
% 21.87/3.85 | | | | | | |
% 21.87/3.85 | | | | | | Case 2:
% 21.87/3.85 | | | | | | |
% 21.87/3.85 | | | | | | | (172) all_61_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any]
% 21.87/3.85 | | | | | | | : ? [v3: any] : (apart_point_and_line(all_38_4,
% 21.87/3.85 | | | | | | | all_38_1) = v3 & apart_point_and_line(all_38_5,
% 21.87/3.85 | | | | | | | all_38_2) = v2 & distinct_lines(all_38_2, all_38_1) =
% 21.87/3.85 | | | | | | | v1 & distinct_points(all_38_5, all_38_4) = v0 & ( ~ (v1
% 21.87/3.85 | | | | | | | = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.87/3.85 | | | | | | |
% 21.87/3.85 | | | | | | | BETA: splitting (150) gives:
% 21.87/3.85 | | | | | | |
% 21.87/3.85 | | | | | | | Case 1:
% 21.87/3.85 | | | | | | | |
% 21.87/3.85 | | | | | | | | (173) all_63_0 = 0
% 21.87/3.85 | | | | | | | |
% 21.87/3.85 | | | | | | | | REDUCE: (146), (173) imply:
% 21.87/3.85 | | | | | | | | (174) $false
% 21.87/3.85 | | | | | | | |
% 21.87/3.85 | | | | | | | | CLOSE: (174) is inconsistent.
% 21.87/3.85 | | | | | | | |
% 21.87/3.85 | | | | | | | Case 2:
% 21.87/3.85 | | | | | | | |
% 21.87/3.85 | | | | | | | | (175) all_61_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2:
% 21.87/3.85 | | | | | | | | any] : ? [v3: any] : (apart_point_and_line(all_38_4,
% 21.87/3.85 | | | | | | | | all_38_1) = v2 & apart_point_and_line(all_38_5,
% 21.87/3.85 | | | | | | | | all_38_2) = v3 & distinct_lines(all_38_2, all_38_1)
% 21.87/3.85 | | | | | | | | = v1 & distinct_points(all_38_4, all_38_5) = v0 & ( ~
% 21.87/3.85 | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.87/3.85 | | | | | | | |
% 21.87/3.85 | | | | | | | | BETA: splitting (162) gives:
% 21.87/3.85 | | | | | | | |
% 21.87/3.85 | | | | | | | | Case 1:
% 21.87/3.85 | | | | | | | | |
% 21.87/3.85 | | | | | | | | | (176) all_53_0 = 0
% 21.87/3.85 | | | | | | | | |
% 21.87/3.85 | | | | | | | | | REDUCE: (53), (176) imply:
% 21.87/3.85 | | | | | | | | | (177) $false
% 21.87/3.85 | | | | | | | | |
% 21.87/3.85 | | | | | | | | | CLOSE: (177) is inconsistent.
% 21.87/3.85 | | | | | | | | |
% 21.87/3.85 | | | | | | | | Case 2:
% 21.87/3.85 | | | | | | | | |
% 21.87/3.85 | | | | | | | | | (178) all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2:
% 21.87/3.85 | | | | | | | | | any] : (apart_point_and_line(all_38_5, all_53_1) =
% 21.87/3.85 | | | | | | | | | v2 & apart_point_and_line(all_38_5, all_38_2) = v1
% 21.87/3.85 | | | | | | | | | & distinct_lines(all_38_2, all_53_1) = v0 & ( ~ (v0
% 21.87/3.85 | | | | | | | | | = 0) | v2 = 0 | v1 = 0))
% 21.87/3.85 | | | | | | | | |
% 21.87/3.85 | | | | | | | | | BETA: splitting (161) gives:
% 21.87/3.85 | | | | | | | | |
% 21.87/3.85 | | | | | | | | | Case 1:
% 21.87/3.85 | | | | | | | | | |
% 21.87/3.85 | | | | | | | | | | (179) all_59_0 = 0
% 21.87/3.85 | | | | | | | | | |
% 21.87/3.85 | | | | | | | | | | REDUCE: (145), (179) imply:
% 21.87/3.85 | | | | | | | | | | (180) $false
% 21.87/3.85 | | | | | | | | | |
% 21.87/3.85 | | | | | | | | | | CLOSE: (180) is inconsistent.
% 21.87/3.85 | | | | | | | | | |
% 21.87/3.85 | | | | | | | | | Case 2:
% 21.87/3.85 | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | (181) all_53_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 21.87/3.86 | | | | | | | | | | [v2: any] : (apart_point_and_line(all_38_5,
% 21.87/3.86 | | | | | | | | | | all_53_1) = v1 & apart_point_and_line(all_38_5,
% 21.87/3.86 | | | | | | | | | | all_38_1) = v2 & distinct_lines(all_53_1,
% 21.87/3.86 | | | | | | | | | | all_38_1) = v0 & ( ~ (v0 = 0) | v2 = 0 | v1 =
% 21.87/3.86 | | | | | | | | | | 0))
% 21.87/3.86 | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | BETA: splitting (155) gives:
% 21.87/3.86 | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | Case 1:
% 21.87/3.86 | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | (182) all_59_0 = 0
% 21.87/3.86 | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | REDUCE: (145), (182) imply:
% 21.87/3.86 | | | | | | | | | | | (183) $false
% 21.87/3.86 | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | CLOSE: (183) is inconsistent.
% 21.87/3.86 | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | Case 2:
% 21.87/3.86 | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | (184) all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 21.87/3.86 | | | | | | | | | | | [v2: any] : (apart_point_and_line(all_38_5,
% 21.87/3.86 | | | | | | | | | | | all_38_1) = v1 &
% 21.87/3.86 | | | | | | | | | | | apart_point_and_line(all_38_5, all_38_2) = v2 &
% 21.87/3.86 | | | | | | | | | | | distinct_lines(all_38_1, all_38_2) = v0 & ( ~
% 21.87/3.86 | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0))
% 21.87/3.86 | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | BETA: splitting (184) gives:
% 21.87/3.86 | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | Case 1:
% 21.87/3.86 | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | (185) all_45_0 = 0
% 21.87/3.86 | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | REDUCE: (50), (185) imply:
% 21.87/3.86 | | | | | | | | | | | | (186) $false
% 21.87/3.86 | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | CLOSE: (186) is inconsistent.
% 21.87/3.86 | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | Case 2:
% 21.87/3.86 | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | (187) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 21.87/3.86 | | | | | | | | | | | | (apart_point_and_line(all_38_5, all_38_1) = v1 &
% 21.87/3.86 | | | | | | | | | | | | apart_point_and_line(all_38_5, all_38_2) = v2 &
% 21.87/3.86 | | | | | | | | | | | | distinct_lines(all_38_1, all_38_2) = v0 & ( ~
% 21.87/3.86 | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0))
% 21.87/3.86 | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | DELTA: instantiating (187) with fresh symbols all_250_0,
% 21.87/3.86 | | | | | | | | | | | | all_250_1, all_250_2 gives:
% 21.87/3.86 | | | | | | | | | | | | (188) apart_point_and_line(all_38_5, all_38_1) =
% 21.87/3.86 | | | | | | | | | | | | all_250_1 & apart_point_and_line(all_38_5,
% 21.87/3.86 | | | | | | | | | | | | all_38_2) = all_250_0 & distinct_lines(all_38_1,
% 21.87/3.86 | | | | | | | | | | | | all_38_2) = all_250_2 & ( ~ (all_250_2 = 0) |
% 21.87/3.86 | | | | | | | | | | | | all_250_0 = 0 | all_250_1 = 0)
% 21.87/3.86 | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | ALPHA: (188) implies:
% 21.87/3.86 | | | | | | | | | | | | (189) distinct_lines(all_38_1, all_38_2) = all_250_2
% 21.87/3.86 | | | | | | | | | | | | (190) apart_point_and_line(all_38_5, all_38_2) =
% 21.87/3.86 | | | | | | | | | | | | all_250_0
% 21.87/3.86 | | | | | | | | | | | | (191) apart_point_and_line(all_38_5, all_38_1) =
% 21.87/3.86 | | | | | | | | | | | | all_250_1
% 21.87/3.86 | | | | | | | | | | | | (192) ~ (all_250_2 = 0) | all_250_0 = 0 | all_250_1 = 0
% 21.87/3.86 | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | BETA: splitting (154) gives:
% 21.87/3.86 | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | Case 1:
% 21.87/3.86 | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | (193) all_55_0 = 0
% 21.87/3.86 | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | REDUCE: (144), (193) imply:
% 21.87/3.86 | | | | | | | | | | | | | (194) $false
% 21.87/3.86 | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | CLOSE: (194) is inconsistent.
% 21.87/3.86 | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | Case 2:
% 21.87/3.86 | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | (195) all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 21.87/3.86 | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 21.87/3.86 | | | | | | | | | | | | | (apart_point_and_line(all_38_3, all_38_2) = v2 &
% 21.87/3.86 | | | | | | | | | | | | | apart_point_and_line(all_38_5, all_38_2) = v3 &
% 21.87/3.86 | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_2) = v1 &
% 21.87/3.86 | | | | | | | | | | | | | distinct_points(all_38_3, all_38_5) = v0 & ( ~
% 21.87/3.86 | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.87/3.86 | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | BETA: splitting (149) gives:
% 21.87/3.86 | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | Case 1:
% 21.87/3.86 | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | (196) all_61_0 = 0
% 21.87/3.86 | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | REDUCE: (147), (196) imply:
% 21.87/3.86 | | | | | | | | | | | | | | (197) $false
% 21.87/3.86 | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | CLOSE: (197) is inconsistent.
% 21.87/3.86 | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | Case 2:
% 21.87/3.86 | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | (198) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 21.87/3.86 | | | | | | | | | | | | | | (apart_point_and_line(all_38_5, all_38_2) = v2 &
% 21.87/3.86 | | | | | | | | | | | | | | apart_point_and_line(all_38_5, all_38_2) = v1 &
% 21.87/3.86 | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_2) = v0 & ( ~
% 21.87/3.86 | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0))
% 21.87/3.86 | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | DELTA: instantiating (198) with fresh symbols all_269_0,
% 21.87/3.86 | | | | | | | | | | | | | | all_269_1, all_269_2 gives:
% 21.87/3.86 | | | | | | | | | | | | | | (199) apart_point_and_line(all_38_5, all_38_2) =
% 21.87/3.86 | | | | | | | | | | | | | | all_269_0 & apart_point_and_line(all_38_5,
% 21.87/3.86 | | | | | | | | | | | | | | all_38_2) = all_269_1 & distinct_lines(all_38_2,
% 21.87/3.86 | | | | | | | | | | | | | | all_38_2) = all_269_2 & ( ~ (all_269_2 = 0) |
% 21.87/3.86 | | | | | | | | | | | | | | all_269_0 = 0 | all_269_1 = 0)
% 21.87/3.86 | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | ALPHA: (199) implies:
% 21.87/3.86 | | | | | | | | | | | | | | (200) apart_point_and_line(all_38_5, all_38_2) =
% 21.87/3.86 | | | | | | | | | | | | | | all_269_1
% 21.87/3.86 | | | | | | | | | | | | | | (201) apart_point_and_line(all_38_5, all_38_2) =
% 21.87/3.86 | | | | | | | | | | | | | | all_269_0
% 21.87/3.86 | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | BETA: splitting (156) gives:
% 21.87/3.86 | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | Case 1:
% 21.87/3.86 | | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | | (202) all_59_0 = 0
% 21.87/3.86 | | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | | REDUCE: (145), (202) imply:
% 21.87/3.86 | | | | | | | | | | | | | | | (203) $false
% 21.87/3.86 | | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | | CLOSE: (203) is inconsistent.
% 21.87/3.86 | | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | Case 2:
% 21.87/3.86 | | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | | (204) all_45_0 = 0 | ? [v0: any] : ? [v1: any] :
% 21.87/3.86 | | | | | | | | | | | | | | | (convergent_lines(all_38_1, all_38_2) = v1 &
% 21.87/3.86 | | | | | | | | | | | | | | | distinct_lines(all_38_1, all_38_2) = v0 & ( ~
% 21.87/3.86 | | | | | | | | | | | | | | | (v0 = 0) | v1 = 0))
% 21.87/3.86 | | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 21.87/3.86 | | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | | Case 1:
% 21.87/3.86 | | | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | | | (205) all_59_0 = 0
% 21.87/3.86 | | | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | | | REDUCE: (145), (205) imply:
% 21.87/3.86 | | | | | | | | | | | | | | | | (206) $false
% 21.87/3.86 | | | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | | | CLOSE: (206) is inconsistent.
% 21.87/3.86 | | | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | | Case 2:
% 21.87/3.86 | | | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | | | (207) all_55_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 21.87/3.86 | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 21.87/3.86 | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_3, all_38_2) = v2 &
% 21.87/3.86 | | | | | | | | | | | | | | | | apart_point_and_line(all_38_5, all_38_1) = v3 &
% 21.87/3.86 | | | | | | | | | | | | | | | | distinct_lines(all_38_1, all_38_2) = v1 &
% 21.87/3.86 | | | | | | | | | | | | | | | | distinct_points(all_38_3, all_38_5) = v0 & ( ~
% 21.87/3.86 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.87/3.86 | | | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 21.87/3.86 | | | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | | | Case 1:
% 21.87/3.86 | | | | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | | | | (208) all_63_0 = 0
% 21.87/3.86 | | | | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | | | | REDUCE: (146), (208) imply:
% 21.87/3.86 | | | | | | | | | | | | | | | | | (209) $false
% 21.87/3.86 | | | | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | | | | CLOSE: (209) is inconsistent.
% 21.87/3.86 | | | | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | | | Case 2:
% 21.87/3.86 | | | | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | | | | (210) all_59_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 21.87/3.86 | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 21.87/3.86 | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_3, all_38_1) = v2 &
% 21.87/3.86 | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_5, all_38_1) = v3 &
% 21.87/3.86 | | | | | | | | | | | | | | | | | distinct_lines(all_38_1, all_38_1) = v1 &
% 21.87/3.86 | | | | | | | | | | | | | | | | | distinct_points(all_38_3, all_38_5) = v0 & ( ~
% 21.87/3.86 | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.87/3.86 | | | | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 21.87/3.86 | | | | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | | | | Case 1:
% 21.87/3.86 | | | | | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | | | | | (211) all_59_0 = 0
% 21.87/3.86 | | | | | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | | | | | REDUCE: (145), (211) imply:
% 21.87/3.86 | | | | | | | | | | | | | | | | | | (212) $false
% 21.87/3.86 | | | | | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | | | | | CLOSE: (212) is inconsistent.
% 21.87/3.86 | | | | | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | | | | Case 2:
% 21.87/3.86 | | | | | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | | | | | (213) all_55_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 21.87/3.86 | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 21.87/3.86 | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_3, all_38_2) = v2 &
% 21.87/3.86 | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_5, all_38_1) = v3 &
% 21.87/3.86 | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_1) = v1 &
% 21.87/3.86 | | | | | | | | | | | | | | | | | | distinct_points(all_38_3, all_38_5) = v0 & ( ~
% 21.87/3.86 | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.87/3.86 | | | | | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | | | | | BETA: splitting (172) gives:
% 21.87/3.86 | | | | | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | | | | | Case 1:
% 21.87/3.86 | | | | | | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | | | | | | (214) all_61_0 = 0
% 21.87/3.86 | | | | | | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | | | | | | REDUCE: (147), (214) imply:
% 21.87/3.86 | | | | | | | | | | | | | | | | | | | (215) $false
% 21.87/3.86 | | | | | | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | | | | | | CLOSE: (215) is inconsistent.
% 21.87/3.86 | | | | | | | | | | | | | | | | | | |
% 21.87/3.86 | | | | | | | | | | | | | | | | | | Case 2:
% 21.87/3.86 | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | (216) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_4,
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | all_38_1) = v3 &
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_5, all_38_2) = v2 &
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_1) = v1 &
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | distinct_points(all_38_5, all_38_4) = v0 & ( ~
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.87/3.87 | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (216) with fresh symbols all_317_0,
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | all_317_1, all_317_2, all_317_3 gives:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | (217) apart_point_and_line(all_38_4, all_38_1) =
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | all_317_0 & apart_point_and_line(all_38_5,
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | all_38_2) = all_317_1 & distinct_lines(all_38_2,
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | all_38_1) = all_317_2 &
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | distinct_points(all_38_5, all_38_4) = all_317_3 &
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | ( ~ (all_317_2 = 0) | ~ (all_317_3 = 0) |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | all_317_0 = 0 | all_317_1 = 0)
% 21.87/3.87 | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | ALPHA: (217) implies:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | (218) apart_point_and_line(all_38_5, all_38_2) =
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | all_317_1
% 21.87/3.87 | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | BETA: splitting (175) gives:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | Case 1:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | (219) all_61_0 = 0
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (219) imply:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | (220) $false
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | CLOSE: (220) is inconsistent.
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | Case 2:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | (221) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_4,
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | all_38_1) = v2 &
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_5, all_38_2) = v3 &
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_1) = v1 &
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_4, all_38_5) = v0 & ( ~
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (221) with fresh symbols all_322_0,
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | all_322_1, all_322_2, all_322_3 gives:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | (222) apart_point_and_line(all_38_4, all_38_1) =
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | all_322_1 & apart_point_and_line(all_38_5,
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | all_38_2) = all_322_0 & distinct_lines(all_38_2,
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | all_38_1) = all_322_2 &
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_4, all_38_5) = all_322_3 &
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | ( ~ (all_322_2 = 0) | ~ (all_322_3 = 0) |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | all_322_0 = 0 | all_322_1 = 0)
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | ALPHA: (222) implies:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | (223) apart_point_and_line(all_38_5, all_38_2) =
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | all_322_0
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | Case 1:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | (224) all_45_0 = 0
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (224) imply:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | (225) $false
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | CLOSE: (225) is inconsistent.
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | Case 2:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | (226) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_5, all_53_1) = v2 &
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_5, all_38_2) = v1 &
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_53_1) = v0 & ( ~
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0))
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (226) with fresh symbols all_337_0,
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | all_337_1, all_337_2 gives:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | (227) apart_point_and_line(all_38_5, all_53_1) =
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | all_337_0 & apart_point_and_line(all_38_5,
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_337_1 & distinct_lines(all_38_2,
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | all_53_1) = all_337_2 & ( ~ (all_337_2 = 0) |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | all_337_0 = 0 | all_337_1 = 0)
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | ALPHA: (227) implies:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | (228) apart_point_and_line(all_38_5, all_38_2) =
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | all_337_1
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | (229) all_53_0 = 0
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (229) imply:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | (230) $false
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (230) is inconsistent.
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | (231) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_5, all_53_1) = v1 &
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_5, all_38_1) = v2 &
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_53_1, all_38_1) = v0 & ( ~
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0))
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (231) with fresh symbols all_342_0,
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | all_342_1, all_342_2 gives:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | (232) apart_point_and_line(all_38_5, all_53_1) =
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | all_342_1 & apart_point_and_line(all_38_5,
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | all_38_1) = all_342_0 & distinct_lines(all_53_1,
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | all_38_1) = all_342_2 & ( ~ (all_342_2 = 0) |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | all_342_0 = 0 | all_342_1 = 0)
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (232) implies:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | (233) apart_point_and_line(all_38_5, all_38_1) =
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | all_342_0
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | (234) all_61_0 = 0
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (234) imply:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | (235) $false
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (235) is inconsistent.
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | (236) all_59_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_3, all_38_2) = v2 &
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_4, all_38_1) = v3 &
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_1, all_38_2) = v1 &
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_3, all_38_4) = v0 & ( ~
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | (237) all_57_0 = 0
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (237) imply:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | (238) $false
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (238) is inconsistent.
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | (239) all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_3, all_53_1) = v2 &
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_4, all_38_2) = v3 &
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_53_1) = v1 &
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_3, all_38_4) = v0 & ( ~
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | (240) all_45_0 = 0
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (240) imply:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | (241) $false
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (241) is inconsistent.
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | (242) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_3,
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = v2 &
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_5, all_38_2) = v3 &
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_2) = v1 &
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_3, all_38_5) = v0 & ( ~
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (242) with fresh symbols all_443_0,
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | all_443_1, all_443_2, all_443_3 gives:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | (243) apart_point_and_line(all_38_3, all_38_2) =
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | all_443_1 & apart_point_and_line(all_38_5,
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_443_0 & distinct_lines(all_38_2,
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_443_2 &
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_3, all_38_5) = all_443_3 &
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_443_2 = 0) | ~ (all_443_3 = 0) |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | all_443_0 = 0 | all_443_1 = 0)
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (243) implies:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | (244) apart_point_and_line(all_38_5, all_38_2) =
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | all_443_0
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (245) all_45_0 = 0
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (245) imply:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (246) $false
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (246) is inconsistent.
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (247) ? [v0: any] : ? [v1: any] :
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (convergent_lines(all_38_1, all_38_2) = v1 &
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_1, all_38_2) = v0 & ( ~
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v1 = 0))
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (247) with fresh symbols all_453_0,
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | all_453_1 gives:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (248) convergent_lines(all_38_1, all_38_2) = all_453_0 &
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_1, all_38_2) = all_453_1 & (
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_453_1 = 0) | all_453_0 = 0)
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (248) implies:
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (249) distinct_lines(all_38_1, all_38_2) = all_453_1
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (247) with fresh symbols all_458_0,
% 21.87/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | all_458_1 gives:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (250) convergent_lines(all_38_1, all_38_2) = all_458_0 &
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_1, all_38_2) = all_458_1 & (
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_458_1 = 0) | all_458_0 = 0)
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (250) implies:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (251) distinct_lines(all_38_1, all_38_2) = all_458_1
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (252) all_55_0 = 0
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (252) imply:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (253) $false
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (253) is inconsistent.
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (254) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_3,
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = v2 &
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_5, all_38_1) = v3 &
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_1, all_38_2) = v1 &
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_3, all_38_5) = v0 & ( ~
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (254) with fresh symbols all_463_0,
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_463_1, all_463_2, all_463_3 gives:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (255) apart_point_and_line(all_38_3, all_38_2) =
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_463_1 & apart_point_and_line(all_38_5,
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1) = all_463_0 & distinct_lines(all_38_1,
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_463_2 &
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_3, all_38_5) = all_463_3 &
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_463_2 = 0) | ~ (all_463_3 = 0) |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_463_0 = 0 | all_463_1 = 0)
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (255) implies:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (256) distinct_lines(all_38_1, all_38_2) = all_463_2
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (257) apart_point_and_line(all_38_5, all_38_1) =
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_463_0
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258) all_59_0 = 0
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (258) imply:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (259) $false
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (259) is inconsistent.
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (260) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_3,
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1) = v2 &
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_5, all_38_1) = v3 &
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_1, all_38_1) = v1 &
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_3, all_38_5) = v0 & ( ~
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (260) with fresh symbols all_468_0,
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_468_1, all_468_2, all_468_3 gives:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (261) apart_point_and_line(all_38_3, all_38_1) =
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_468_1 & apart_point_and_line(all_38_5,
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1) = all_468_0 & distinct_lines(all_38_1,
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1) = all_468_2 &
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_3, all_38_5) = all_468_3 &
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_468_2 = 0) | ~ (all_468_3 = 0) |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_468_0 = 0 | all_468_1 = 0)
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (261) implies:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (262) apart_point_and_line(all_38_5, all_38_1) =
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_468_0
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (263) all_55_0 = 0
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (263) imply:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (264) $false
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (264) is inconsistent.
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (265) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_3,
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = v2 &
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_5, all_38_1) = v3 &
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_1) = v1 &
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_3, all_38_5) = v0 & ( ~
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (265) with fresh symbols all_473_0,
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_473_1, all_473_2, all_473_3 gives:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (266) apart_point_and_line(all_38_3, all_38_2) =
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_473_1 & apart_point_and_line(all_38_5,
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1) = all_473_0 & distinct_lines(all_38_2,
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1) = all_473_2 &
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_3, all_38_5) = all_473_3 &
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_473_2 = 0) | ~ (all_473_3 = 0) |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_473_0 = 0 | all_473_1 = 0)
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (266) implies:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (267) apart_point_and_line(all_38_5, all_38_1) =
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_473_0
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (268) all_59_0 = 0
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (268) imply:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269) $false
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (269) is inconsistent.
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (270) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_3,
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = v2 &
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_4, all_38_1) = v3 &
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_1, all_38_2) = v1 &
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_3, all_38_4) = v0 & ( ~
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (270) with fresh symbols all_534_0,
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_534_1, all_534_2, all_534_3 gives:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (271) apart_point_and_line(all_38_3, all_38_2) =
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_534_1 & apart_point_and_line(all_38_4,
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1) = all_534_0 & distinct_lines(all_38_1,
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_534_2 &
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_3, all_38_4) = all_534_3 &
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_534_2 = 0) | ~ (all_534_3 = 0) |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_534_0 = 0 | all_534_1 = 0)
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (271) implies:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (272) distinct_lines(all_38_1, all_38_2) = all_534_2
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (273) all_45_0 = 0
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (273) imply:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (274) $false
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (274) is inconsistent.
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_250_2, all_453_1,
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_1, simplifying with (189), (249)
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (275) all_453_1 = all_250_2
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_463_2, all_38_2,
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1, simplifying with (163), (256) gives:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (276) all_463_2 = 0
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_463_2, all_534_2,
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_1, simplifying with (256), (272)
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (277) all_534_2 = all_463_2
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_458_1, all_534_2,
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_1, simplifying with (251), (272)
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (278) all_534_2 = all_458_1
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_453_1, all_534_2,
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_1, simplifying with (249), (272)
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (279) all_534_2 = all_453_1
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_250_0, all_269_1,
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_5, simplifying with (190), (200)
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (280) all_269_1 = all_250_0
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_269_0, all_322_0,
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_5, simplifying with (201), (223)
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (281) all_322_0 = all_269_0
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_55_0, all_443_0,
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_5, simplifying with (58), (244)
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (282) all_443_0 = all_55_0
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_337_1, all_443_0,
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_5, simplifying with (228), (244)
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (283) all_443_0 = all_337_1
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_322_0, all_443_0,
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_5, simplifying with (223), (244)
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (284) all_443_0 = all_322_0
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_317_1, all_443_0,
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_5, simplifying with (218), (244)
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (285) all_443_0 = all_317_1
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_269_1, all_443_0,
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_5, simplifying with (200), (244)
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (286) all_443_0 = all_269_1
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_63_0, all_250_1,
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1, all_38_5, simplifying with (74), (191)
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (287) all_250_1 = all_63_0
% 21.87/3.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_141_0, all_250_1,
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1, all_38_5, simplifying with (169), (191)
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (288) all_250_1 = all_141_0
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_250_1, all_342_0,
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1, all_38_5, simplifying with (191), (233)
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (289) all_342_0 = all_250_1
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_141_1, all_468_0,
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1, all_38_5, simplifying with (168), (262)
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (290) all_468_0 = all_141_1
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_468_0, all_473_0,
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1, all_38_5, simplifying with (262), (267)
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (291) all_473_0 = all_468_0
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_463_0, all_473_0,
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1, all_38_5, simplifying with (257), (267)
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (292) all_473_0 = all_463_0
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_342_0, all_473_0,
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1, all_38_5, simplifying with (233), (267)
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (293) all_473_0 = all_342_0
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (278), (279) imply:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (294) all_458_1 = all_453_1
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (277), (278) imply:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (295) all_463_2 = all_458_1
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (295) implies:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (296) all_463_2 = all_458_1
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (291), (292) imply:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (297) all_468_0 = all_463_0
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (297) implies:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (298) all_468_0 = all_463_0
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (293) imply:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (299) all_463_0 = all_342_0
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (298) imply:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (300) all_463_0 = all_141_1
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (300) implies:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (301) all_463_0 = all_141_1
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (299), (301) imply:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (302) all_342_0 = all_141_1
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (302) implies:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (303) all_342_0 = all_141_1
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (296) imply:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (304) all_458_1 = 0
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (304) implies:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (305) all_458_1 = 0
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (305) imply:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (306) all_453_1 = 0
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (306) implies:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (307) all_453_1 = 0
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (307) imply:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (308) all_250_2 = 0
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (308) implies:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (309) all_250_2 = 0
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (283) imply:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (310) all_337_1 = all_55_0
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (285) imply:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (311) all_337_1 = all_317_1
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (286) imply:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (312) all_337_1 = all_269_1
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (284) imply:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (313) all_337_1 = all_322_0
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (289), (303) imply:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (314) all_250_1 = all_141_1
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (314) implies:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (315) all_250_1 = all_141_1
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (311), (312) imply:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (316) all_317_1 = all_269_1
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (310), (311) imply:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (317) all_317_1 = all_55_0
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (311), (313) imply:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (318) all_322_0 = all_317_1
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (318) implies:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (319) all_322_0 = all_317_1
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (319) imply:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (320) all_317_1 = all_269_0
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (320) implies:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (321) all_317_1 = all_269_0
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (317), (321) imply:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (322) all_269_0 = all_55_0
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (321) imply:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (323) all_269_0 = all_269_1
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (323) imply:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (324) all_269_1 = all_55_0
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (324) implies:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (325) all_269_1 = all_55_0
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (325) imply:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (326) all_250_0 = all_55_0
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (326) implies:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (327) all_250_0 = all_55_0
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (288) imply:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (328) all_141_0 = all_63_0
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (288), (315) imply:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (329) all_141_0 = all_141_1
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (329) imply:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (330) all_141_1 = all_63_0
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (331) ~ (all_250_2 = 0)
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (309), (331) imply:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (332) $false
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (332) is inconsistent.
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (333) all_250_0 = 0 | all_250_1 = 0
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (334) all_250_0 = 0
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (327), (334) imply:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (335) all_55_0 = 0
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (335) implies:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (336) all_55_0 = 0
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (336) imply:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (337) $false
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (337) is inconsistent.
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (338) all_250_1 = 0
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (338) imply:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (339) all_63_0 = 0
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (339) implies:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (340) all_63_0 = 0
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (340) imply:
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (341) $false
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (341) is inconsistent.
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | | End of split
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | | End of split
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | | End of split
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | | End of split
% 21.87/3.89 | | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | | End of split
% 21.87/3.89 | | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | | End of split
% 21.87/3.89 | | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | | End of split
% 21.87/3.89 | | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | | End of split
% 21.87/3.89 | | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | | End of split
% 21.87/3.89 | | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | | End of split
% 21.87/3.89 | | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | | End of split
% 21.87/3.89 | | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | | End of split
% 21.87/3.89 | | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | | End of split
% 21.87/3.89 | | | | | | | | | |
% 21.87/3.89 | | | | | | | | | End of split
% 21.87/3.89 | | | | | | | | |
% 21.87/3.89 | | | | | | | | End of split
% 21.87/3.89 | | | | | | | |
% 21.87/3.89 | | | | | | | End of split
% 21.87/3.89 | | | | | | |
% 21.87/3.89 | | | | | | End of split
% 21.87/3.89 | | | | | |
% 21.87/3.89 | | | | | End of split
% 21.87/3.89 | | | | |
% 21.87/3.89 | | | | Case 2:
% 21.87/3.89 | | | | |
% 21.87/3.89 | | | | | (342) all_61_0 = 0
% 21.87/3.89 | | | | |
% 21.87/3.89 | | | | | REDUCE: (147), (342) imply:
% 21.87/3.89 | | | | | (343) $false
% 21.87/3.89 | | | | |
% 21.87/3.89 | | | | | CLOSE: (343) is inconsistent.
% 21.87/3.89 | | | | |
% 21.87/3.89 | | | | End of split
% 21.87/3.89 | | | |
% 21.87/3.89 | | | Case 2:
% 21.87/3.89 | | | |
% 21.87/3.89 | | | | (344) ~ (all_65_1 = 0)
% 21.87/3.89 | | | |
% 21.87/3.89 | | | | REDUCE: (102), (344) imply:
% 21.87/3.89 | | | | (345) $false
% 21.87/3.89 | | | |
% 21.87/3.89 | | | | CLOSE: (345) is inconsistent.
% 21.87/3.89 | | | |
% 21.87/3.89 | | | End of split
% 21.87/3.89 | | |
% 21.87/3.89 | | Case 2:
% 21.87/3.89 | | |
% 21.87/3.89 | | | (346) ~ (all_69_1 = 0)
% 21.87/3.89 | | |
% 21.87/3.89 | | | REDUCE: (105), (346) imply:
% 21.87/3.89 | | | (347) $false
% 21.87/3.89 | | |
% 21.87/3.89 | | | CLOSE: (347) is inconsistent.
% 21.87/3.89 | | |
% 21.87/3.89 | | End of split
% 21.87/3.89 | |
% 21.87/3.89 | Case 2:
% 21.87/3.89 | |
% 21.87/3.89 | | (348) all_38_0 = 0
% 21.87/3.89 | |
% 21.87/3.89 | | REDUCE: (19), (348) imply:
% 21.87/3.89 | | (349) $false
% 21.87/3.89 | |
% 21.87/3.89 | | CLOSE: (349) is inconsistent.
% 21.87/3.89 | |
% 21.87/3.89 | End of split
% 21.87/3.89 |
% 21.87/3.89 End of proof
% 21.87/3.89 % SZS output end Proof for theBenchmark
% 21.87/3.89
% 21.87/3.89 3268ms
%------------------------------------------------------------------------------