TSTP Solution File: GEO213+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : GEO213+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 23:22:23 EDT 2023
% Result : Theorem 35.57s 5.49s
% Output : Proof 43.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO213+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 20:39:41 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.61 ________ _____
% 0.20/0.61 ___ __ \_________(_)________________________________
% 0.20/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.61
% 0.20/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.61 (2023-06-19)
% 0.20/0.61
% 0.20/0.61 (c) Philipp Rümmer, 2009-2023
% 0.20/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.61 Amanda Stjerna.
% 0.20/0.61 Free software under BSD-3-Clause.
% 0.20/0.61
% 0.20/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.61
% 0.20/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.62 Running up to 7 provers in parallel.
% 0.20/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.59/1.10 Prover 4: Preprocessing ...
% 2.88/1.11 Prover 1: Preprocessing ...
% 3.13/1.15 Prover 6: Preprocessing ...
% 3.13/1.15 Prover 2: Preprocessing ...
% 3.13/1.15 Prover 3: Preprocessing ...
% 3.13/1.15 Prover 5: Preprocessing ...
% 3.13/1.15 Prover 0: Preprocessing ...
% 5.36/1.46 Prover 2: Proving ...
% 5.36/1.46 Prover 5: Proving ...
% 5.36/1.47 Prover 6: Constructing countermodel ...
% 5.36/1.50 Prover 1: Constructing countermodel ...
% 5.36/1.50 Prover 3: Constructing countermodel ...
% 6.04/1.63 Prover 3: gave up
% 6.04/1.63 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 6.70/1.65 Prover 6: gave up
% 6.70/1.65 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 6.70/1.67 Prover 4: Constructing countermodel ...
% 6.70/1.68 Prover 8: Preprocessing ...
% 6.70/1.68 Prover 7: Preprocessing ...
% 7.03/1.70 Prover 1: gave up
% 7.03/1.73 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 7.03/1.73 Prover 7: Warning: ignoring some quantifiers
% 7.41/1.75 Prover 0: Proving ...
% 7.47/1.75 Prover 7: Constructing countermodel ...
% 7.47/1.79 Prover 7: gave up
% 7.47/1.79 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 7.47/1.79 Prover 9: Preprocessing ...
% 7.89/1.83 Prover 8: Warning: ignoring some quantifiers
% 7.89/1.83 Prover 8: Constructing countermodel ...
% 7.89/1.84 Prover 10: Preprocessing ...
% 8.19/1.92 Prover 10: Warning: ignoring some quantifiers
% 8.19/1.93 Prover 10: Constructing countermodel ...
% 8.19/1.96 Prover 10: gave up
% 8.19/1.96 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 8.19/1.96 Prover 8: gave up
% 8.19/1.97 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391
% 8.19/2.00 Prover 11: Preprocessing ...
% 8.19/2.01 Prover 12: Preprocessing ...
% 9.69/2.09 Prover 9: Constructing countermodel ...
% 10.12/2.14 Prover 12: Proving ...
% 10.97/2.26 Prover 11: Constructing countermodel ...
% 32.81/5.11 Prover 12: stopped
% 32.81/5.13 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 33.18/5.16 Prover 13: Preprocessing ...
% 33.18/5.22 Prover 13: Warning: ignoring some quantifiers
% 33.18/5.22 Prover 13: Constructing countermodel ...
% 33.89/5.27 Prover 13: gave up
% 33.89/5.28 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379
% 33.89/5.31 Prover 14: Preprocessing ...
% 35.57/5.49 Prover 9: proved (3764ms)
% 35.57/5.49
% 35.57/5.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.57/5.49
% 35.57/5.49 Prover 5: stopped
% 35.57/5.49 Prover 2: stopped
% 35.57/5.49 Prover 0: stopped
% 35.57/5.49 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 35.57/5.49 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 35.82/5.51 Prover 16: Preprocessing ...
% 35.82/5.51 Prover 19: Preprocessing ...
% 35.82/5.52 Prover 14: Proving ...
% 35.82/5.52 Prover 14: stopped
% 35.82/5.53 Prover 16: Warning: ignoring some quantifiers
% 36.03/5.53 Prover 16: Constructing countermodel ...
% 36.03/5.55 Prover 19: Warning: ignoring some quantifiers
% 36.03/5.55 Prover 19: Constructing countermodel ...
% 36.03/5.55 Prover 16: gave up
% 36.03/5.58 Prover 19: gave up
% 39.01/6.10 Prover 4: Found proof (size 1050)
% 39.01/6.10 Prover 4: proved (5469ms)
% 39.01/6.10 Prover 11: stopped
% 39.01/6.11
% 39.01/6.11 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 39.01/6.11
% 40.70/6.59 % SZS output start Proof for theBenchmark
% 40.70/6.60 Assumptions after simplification:
% 40.70/6.60 ---------------------------------
% 40.70/6.60
% 40.70/6.60 (apart3)
% 40.70/6.63 ! [v0: $i] : ( ~ (convergent_lines(v0, v0) = 0) | ~ $i(v0))
% 40.70/6.63
% 40.70/6.63 (ax6)
% 40.70/6.63 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 =
% 40.70/6.63 0 | v3 = 0 | ~ (convergent_lines(v1, v2) = v4) | ~ (convergent_lines(v0,
% 40.70/6.63 v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 =
% 40.70/6.63 0) & convergent_lines(v0, v1) = v5)) & ! [v0: $i] : ! [v1: $i] : !
% 40.70/6.63 [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (convergent_lines(v1, v2) = v3) | ~
% 40.70/6.63 (convergent_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 40.70/6.63 convergent_lines(v0, v2) = 0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 40.70/6.63 [v3: int] : (v3 = 0 | ~ (convergent_lines(v0, v2) = v3) | ~
% 40.70/6.63 (convergent_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 40.70/6.63 convergent_lines(v1, v2) = 0)
% 40.70/6.63
% 40.70/6.63 (ceq2)
% 40.70/6.64 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 =
% 40.70/6.64 0 | v3 = 0 | ~ (apart_point_and_line(v0, v2) = v4) | ~ (distinct_lines(v1,
% 40.70/6.64 v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 =
% 40.70/6.64 0) & apart_point_and_line(v0, v1) = v5)) & ! [v0: $i] : ! [v1: $i] :
% 40.70/6.64 ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (apart_point_and_line(v0, v2) = v3) |
% 40.70/6.64 ~ (apart_point_and_line(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 40.70/6.64 distinct_lines(v1, v2) = 0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 40.70/6.64 [v3: int] : (v3 = 0 | ~ (apart_point_and_line(v0, v1) = 0) | ~
% 40.70/6.64 (distinct_lines(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 40.70/6.64 apart_point_and_line(v0, v2) = 0)
% 40.70/6.64
% 40.70/6.64 (ceq3)
% 40.94/6.64 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 =
% 40.94/6.64 0 | v3 = 0 | ~ (convergent_lines(v0, v2) = v4) | ~ (distinct_lines(v1, v2)
% 40.94/6.64 = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 = 0) &
% 40.94/6.64 convergent_lines(v0, v1) = v5)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 40.94/6.64 : ! [v3: int] : (v3 = 0 | ~ (convergent_lines(v0, v2) = v3) | ~
% 40.94/6.64 (convergent_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 40.94/6.64 distinct_lines(v1, v2) = 0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 40.94/6.64 [v3: int] : (v3 = 0 | ~ (convergent_lines(v0, v1) = 0) | ~
% 40.94/6.64 (distinct_lines(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 40.94/6.64 convergent_lines(v0, v2) = 0)
% 40.94/6.64
% 40.94/6.64 (ci3)
% 40.94/6.64 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0, v1) =
% 40.94/6.64 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 40.94/6.65 (apart_point_and_line(v2, v0) = v4 & convergent_lines(v0, v1) = v3 & ( ~ (v4
% 40.94/6.65 = 0) | ~ (v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 40.94/6.65 (convergent_lines(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : ?
% 40.94/6.65 [v3: int] : ( ~ (v3 = 0) & intersection_point(v0, v1) = v2 &
% 40.94/6.65 apart_point_and_line(v2, v0) = v3 & $i(v2)))
% 40.94/6.65
% 40.94/6.65 (ci4)
% 40.94/6.65 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0, v1) =
% 40.94/6.65 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 40.94/6.65 (apart_point_and_line(v2, v1) = v4 & convergent_lines(v0, v1) = v3 & ( ~ (v4
% 40.94/6.65 = 0) | ~ (v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 40.94/6.65 (convergent_lines(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : ?
% 40.94/6.65 [v3: int] : ( ~ (v3 = 0) & intersection_point(v0, v1) = v2 &
% 40.94/6.65 apart_point_and_line(v2, v1) = v3 & $i(v2)))
% 40.94/6.65
% 40.94/6.65 (con)
% 40.94/6.65 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] : ? [v4: int] : ( ~
% 40.94/6.65 (v4 = 0) & ~ (v3 = 0) & unorthogonal_lines(v1, v2) = v4 &
% 40.94/6.65 unorthogonal_lines(v0, v1) = 0 & distinct_lines(v0, v2) = v3 & $i(v2) &
% 40.94/6.65 $i(v1) & $i(v0))
% 40.94/6.65
% 40.94/6.65 (cu1)
% 40.94/6.67 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5:
% 40.94/6.67 int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = v5) | ~
% 40.94/6.67 (apart_point_and_line(v1, v2) = v4) | ~ (distinct_points(v0, v1) = 0) | ~
% 40.94/6.67 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] :
% 40.94/6.67 ? [v8: any] : (apart_point_and_line(v0, v3) = v8 & apart_point_and_line(v0,
% 40.94/6.67 v2) = v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 =
% 40.94/6.67 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4:
% 40.94/6.67 int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) =
% 40.94/6.67 v5) | ~ (apart_point_and_line(v0, v3) = v4) | ~ (distinct_lines(v2, v3)
% 40.94/6.67 = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ?
% 40.94/6.67 [v7: any] : ? [v8: any] : (apart_point_and_line(v1, v2) = v8 &
% 40.94/6.67 apart_point_and_line(v0, v2) = v7 & distinct_points(v0, v1) = v6 & ( ~ (v6
% 40.94/6.67 = 0) | v8 = 0 | v7 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 40.94/6.67 ! [v3: $i] : ! [v4: int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~
% 40.94/6.67 (apart_point_and_line(v1, v3) = v5) | ~ (apart_point_and_line(v0, v2) = v4)
% 40.94/6.67 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7:
% 40.94/6.67 any] : ? [v8: any] : ? [v9: any] : (apart_point_and_line(v1, v2) = v9 &
% 40.94/6.67 apart_point_and_line(v0, v3) = v8 & distinct_lines(v2, v3) = v7 &
% 40.94/6.67 distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0 | v8 =
% 40.94/6.67 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4:
% 40.94/6.67 int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v2) =
% 40.94/6.67 v5) | ~ (apart_point_and_line(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~
% 40.94/6.67 $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9:
% 40.94/6.67 any] : (apart_point_and_line(v1, v3) = v9 & apart_point_and_line(v0, v2) =
% 40.94/6.67 v8 & distinct_lines(v2, v3) = v7 & distinct_points(v0, v1) = v6 & ( ~ (v7
% 40.94/6.67 = 0) | ~ (v6 = 0) | v9 = 0 | v8 = 0))) & ! [v0: $i] : ! [v1: $i] :
% 40.94/6.67 ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~
% 40.94/6.67 (apart_point_and_line(v1, v2) = v5) | ~ (apart_point_and_line(v0, v2) = v4)
% 40.94/6.67 | ~ (distinct_lines(v2, v3) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 40.94/6.67 $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 40.94/6.67 (apart_point_and_line(v1, v3) = v8 & apart_point_and_line(v0, v3) = v7 &
% 40.94/6.67 distinct_points(v0, v1) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0))) & ! [v0:
% 40.94/6.67 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: int]
% 40.94/6.67 : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v0, v3) = v5) | ~
% 40.94/6.67 (apart_point_and_line(v0, v2) = v4) | ~ (distinct_points(v0, v1) = 0) | ~
% 40.94/6.67 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] :
% 40.94/6.67 ? [v8: any] : (apart_point_and_line(v1, v3) = v8 & apart_point_and_line(v1,
% 40.94/6.67 v2) = v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 =
% 40.94/6.67 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 40.94/6.67 (distinct_lines(v2, v3) = 0) | ~ (distinct_points(v0, v1) = 0) | ~ $i(v3)
% 40.94/6.67 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6:
% 40.94/6.67 any] : ? [v7: any] : (apart_point_and_line(v1, v3) = v7 &
% 40.94/6.67 apart_point_and_line(v1, v2) = v6 & apart_point_and_line(v0, v3) = v5 &
% 40.94/6.67 apart_point_and_line(v0, v2) = v4 & (v7 = 0 | v6 = 0 | v5 = 0 | v4 = 0)))
% 40.94/6.67
% 40.94/6.67 (cup1)
% 40.94/6.68 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 =
% 40.94/6.68 0 | v3 = 0 | ~ (apart_point_and_line(v0, v2) = v4) | ~
% 40.94/6.68 (apart_point_and_line(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 40.94/6.68 [v5: any] : ? [v6: any] : (convergent_lines(v1, v2) = v6 &
% 40.94/6.68 distinct_lines(v1, v2) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v0: $i] : !
% 40.94/6.68 [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 = 0 | v3 = 0 | ~
% 40.94/6.68 (apart_point_and_line(v0, v2) = v3) | ~ (convergent_lines(v1, v2) = v4) |
% 40.94/6.68 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] :
% 40.94/6.68 (apart_point_and_line(v0, v1) = v6 & distinct_lines(v1, v2) = v5 & ( ~ (v5 =
% 40.94/6.68 0) | v6 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 40.94/6.68 int] : ! [v4: int] : (v4 = 0 | v3 = 0 | ~ (apart_point_and_line(v0, v1) =
% 40.94/6.68 v3) | ~ (convergent_lines(v1, v2) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 40.94/6.68 $i(v0) | ? [v5: any] : ? [v6: any] : (apart_point_and_line(v0, v2) = v6 &
% 40.94/6.68 distinct_lines(v1, v2) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v0: $i] : !
% 40.94/6.68 [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (apart_point_and_line(v0,
% 40.94/6.68 v2) = v3) | ~ (distinct_lines(v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~
% 40.94/6.68 $i(v0) | ? [v4: any] : ? [v5: any] : (apart_point_and_line(v0, v1) = v4 &
% 40.94/6.68 convergent_lines(v1, v2) = v5 & (v5 = 0 | v4 = 0))) & ! [v0: $i] : !
% 40.94/6.68 [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (apart_point_and_line(v0,
% 40.94/6.68 v1) = v3) | ~ (distinct_lines(v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~
% 40.94/6.68 $i(v0) | ? [v4: any] : ? [v5: any] : (apart_point_and_line(v0, v2) = v4 &
% 40.94/6.68 convergent_lines(v1, v2) = v5 & (v5 = 0 | v4 = 0)))
% 40.94/6.68
% 40.94/6.68 (oac1)
% 40.94/6.70 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] : ( ~
% 40.94/6.70 (unorthogonal_lines(v1, v2) = v4) | ~ (unorthogonal_lines(v0, v2) = v3) |
% 40.94/6.70 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7:
% 40.94/6.70 any] : ? [v8: any] : (unorthogonal_lines(v0, v1) = v6 &
% 40.94/6.70 convergent_lines(v1, v2) = v8 & convergent_lines(v0, v2) = v7 &
% 40.94/6.70 convergent_lines(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | (v8 = 0 & v4
% 40.94/6.70 = 0) | (v7 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 40.94/6.70 : ! [v3: any] : ! [v4: any] : ( ~ (unorthogonal_lines(v1, v2) = v4) | ~
% 40.94/6.70 (convergent_lines(v0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 40.94/6.70 [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 40.94/6.70 (unorthogonal_lines(v0, v2) = v7 & unorthogonal_lines(v0, v1) = v6 &
% 40.94/6.70 convergent_lines(v1, v2) = v8 & convergent_lines(v0, v1) = v5 & ( ~ (v6 =
% 40.94/6.70 0) | ~ (v5 = 0) | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0)))) & ! [v0:
% 40.94/6.70 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] : ( ~
% 40.94/6.70 (unorthogonal_lines(v0, v2) = v3) | ~ (convergent_lines(v1, v2) = v4) | ~
% 40.94/6.70 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any]
% 40.94/6.70 : ? [v8: any] : (unorthogonal_lines(v1, v2) = v8 & unorthogonal_lines(v0,
% 40.94/6.70 v1) = v6 & convergent_lines(v0, v2) = v7 & convergent_lines(v0, v1) = v5
% 40.94/6.70 & ( ~ (v6 = 0) | ~ (v5 = 0) | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0)))) &
% 40.94/6.70 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] : ( ~
% 40.94/6.70 (convergent_lines(v1, v2) = v4) | ~ (convergent_lines(v0, v2) = v3) | ~
% 40.94/6.70 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any]
% 40.94/6.70 : ? [v8: any] : (unorthogonal_lines(v1, v2) = v8 & unorthogonal_lines(v0,
% 40.94/6.70 v2) = v7 & unorthogonal_lines(v0, v1) = v6 & convergent_lines(v0, v1) =
% 40.94/6.70 v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0))))
% 40.94/6.70 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~
% 40.94/6.70 (unorthogonal_lines(v1, v2) = v3) | ~ (unorthogonal_lines(v0, v1) = 0) | ~
% 40.94/6.70 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: any]
% 40.94/6.70 : ? [v7: any] : (unorthogonal_lines(v0, v2) = v6 & convergent_lines(v1, v2)
% 40.94/6.70 = v7 & convergent_lines(v0, v2) = v5 & convergent_lines(v0, v1) = v4 & ( ~
% 40.94/6.70 (v4 = 0) | (v7 = 0 & v3 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0: $i] : !
% 40.94/6.70 [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v1, v2) = v3)
% 40.94/6.70 | ~ (convergent_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 40.94/6.70 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 40.94/6.70 (unorthogonal_lines(v0, v2) = v6 & unorthogonal_lines(v0, v1) = v4 &
% 40.94/6.70 convergent_lines(v1, v2) = v7 & convergent_lines(v0, v2) = v5 & ( ~ (v4 =
% 40.94/6.70 0) | (v7 = 0 & v3 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0: $i] : ! [v1:
% 40.94/6.70 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v0, v2) = v3) |
% 40.94/6.70 ~ (unorthogonal_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 40.94/6.70 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 40.94/6.70 (unorthogonal_lines(v1, v2) = v7 & convergent_lines(v1, v2) = v6 &
% 40.94/6.70 convergent_lines(v0, v2) = v5 & convergent_lines(v0, v1) = v4 & ( ~ (v4 =
% 40.94/6.70 0) | (v7 = 0 & v6 = 0) | (v5 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1:
% 40.94/6.70 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v0, v2) = v3) |
% 40.94/6.70 ~ (convergent_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 40.94/6.70 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 40.94/6.70 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v1) = v4 &
% 40.94/6.70 convergent_lines(v1, v2) = v6 & convergent_lines(v0, v2) = v5 & ( ~ (v4 =
% 40.94/6.70 0) | (v7 = 0 & v6 = 0) | (v5 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1:
% 40.94/6.70 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v0, v1) = 0) | ~
% 40.94/6.70 (convergent_lines(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 40.94/6.70 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 40.94/6.70 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v2) = v6 &
% 40.94/6.70 convergent_lines(v0, v2) = v5 & convergent_lines(v0, v1) = v4 & ( ~ (v4 =
% 40.94/6.70 0) | (v7 = 0 & v3 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0: $i] : ! [v1:
% 40.94/6.70 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v0, v1) = 0) | ~
% 40.94/6.70 (convergent_lines(v0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 40.94/6.70 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 40.94/6.70 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v2) = v5 &
% 40.94/6.70 convergent_lines(v1, v2) = v6 & convergent_lines(v0, v1) = v4 & ( ~ (v4 =
% 40.94/6.70 0) | (v7 = 0 & v6 = 0) | (v5 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1:
% 40.94/6.70 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (convergent_lines(v1, v2) = v3) | ~
% 40.94/6.70 (convergent_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4:
% 40.94/6.70 any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 40.94/6.70 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v2) = v6 &
% 40.94/6.70 unorthogonal_lines(v0, v1) = v4 & convergent_lines(v0, v2) = v5 & ( ~ (v4
% 40.94/6.70 = 0) | (v7 = 0 & v3 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0: $i] : !
% 40.94/6.70 [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ (convergent_lines(v0, v2) = v3) |
% 40.94/6.70 ~ (convergent_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 40.94/6.70 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 40.94/6.70 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v2) = v5 &
% 40.94/6.70 unorthogonal_lines(v0, v1) = v4 & convergent_lines(v1, v2) = v6 & ( ~ (v4
% 40.94/6.70 = 0) | (v7 = 0 & v6 = 0) | (v5 = 0 & v3 = 0))))
% 40.94/6.70
% 40.94/6.70 (occu1)
% 40.94/6.70 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 40.94/6.70 (unorthogonal_lines(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) |
% 40.94/6.70 convergent_lines(v0, v1) = 0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] :
% 40.94/6.70 (v2 = 0 | ~ (convergent_lines(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) |
% 40.94/6.70 unorthogonal_lines(v0, v1) = 0)
% 40.94/6.70
% 40.94/6.70 (ouo1)
% 40.94/6.70 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5:
% 40.94/6.70 int] : (v5 = 0 | v4 = 0 | ~ (unorthogonal_lines(v2, v3) = v5) | ~
% 40.94/6.70 (apart_point_and_line(v0, v2) = v4) | ~ (distinct_lines(v1, v2) = 0) | ~
% 40.94/6.70 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] :
% 40.94/6.70 (unorthogonal_lines(v1, v3) = v7 & apart_point_and_line(v0, v1) = v6 & (v7 =
% 40.94/6.70 0 | v6 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] :
% 40.94/6.70 ! [v4: int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (unorthogonal_lines(v2, v3)
% 40.94/6.70 = v5) | ~ (apart_point_and_line(v0, v1) = v4) | ~ $i(v3) | ~ $i(v2) |
% 40.94/6.70 ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 40.94/6.70 (unorthogonal_lines(v1, v3) = v8 & apart_point_and_line(v0, v2) = v7 &
% 40.94/6.70 distinct_lines(v1, v2) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0))) & ! [v0:
% 40.94/6.70 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: int]
% 40.94/6.70 : (v5 = 0 | v4 = 0 | ~ (unorthogonal_lines(v1, v3) = v5) | ~
% 40.94/6.70 (apart_point_and_line(v0, v2) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 40.94/6.70 $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 40.94/6.70 (unorthogonal_lines(v2, v3) = v8 & apart_point_and_line(v0, v1) = v7 &
% 40.94/6.70 distinct_lines(v1, v2) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0))) & ! [v0:
% 40.94/6.70 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: int]
% 40.94/6.70 : (v5 = 0 | v4 = 0 | ~ (unorthogonal_lines(v1, v3) = v5) | ~
% 40.94/6.70 (apart_point_and_line(v0, v1) = v4) | ~ (distinct_lines(v1, v2) = 0) | ~
% 40.94/6.70 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] :
% 40.94/6.71 (unorthogonal_lines(v2, v3) = v7 & apart_point_and_line(v0, v2) = v6 & (v7 =
% 40.94/6.71 0 | v6 = 0)))
% 40.94/6.71
% 40.94/6.71 (function-axioms)
% 40.94/6.71 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 40.94/6.71 (orthogonal_through_point(v3, v2) = v1) | ~ (orthogonal_through_point(v3,
% 40.94/6.71 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 40.94/6.71 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (unorthogonal_lines(v3, v2) = v1) |
% 40.94/6.71 ~ (unorthogonal_lines(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.94/6.71 $i] : ! [v3: $i] : (v1 = v0 | ~ (parallel_through_point(v3, v2) = v1) | ~
% 40.94/6.71 (parallel_through_point(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.94/6.71 $i] : ! [v3: $i] : (v1 = v0 | ~ (intersection_point(v3, v2) = v1) | ~
% 40.94/6.71 (intersection_point(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 40.94/6.71 : ! [v3: $i] : (v1 = v0 | ~ (line_connecting(v3, v2) = v1) | ~
% 40.94/6.71 (line_connecting(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 40.94/6.71 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 40.94/6.71 (apart_point_and_line(v3, v2) = v1) | ~ (apart_point_and_line(v3, v2) =
% 40.94/6.71 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 40.94/6.71 $i] : ! [v3: $i] : (v1 = v0 | ~ (convergent_lines(v3, v2) = v1) | ~
% 40.94/6.71 (convergent_lines(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 40.94/6.71 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 40.94/6.71 (distinct_lines(v3, v2) = v1) | ~ (distinct_lines(v3, v2) = v0)) & ! [v0:
% 40.94/6.71 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 40.94/6.71 : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~ (distinct_points(v3, v2) =
% 40.94/6.71 v0))
% 40.94/6.71
% 40.94/6.71 Further assumptions not needed in the proof:
% 40.94/6.71 --------------------------------------------
% 40.94/6.71 apart1, apart2, apart4, apart5, ceq1, ci1, ci2, cp1, cp2, ooc1, ooc2
% 40.94/6.71
% 40.94/6.71 Those formulas are unsatisfiable:
% 40.94/6.71 ---------------------------------
% 40.94/6.71
% 40.94/6.71 Begin of proof
% 40.94/6.71 |
% 40.94/6.71 | ALPHA: (ax6) implies:
% 40.94/6.71 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 40.94/6.71 | (convergent_lines(v0, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) |
% 40.94/6.71 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | convergent_lines(v1, v2) = 0)
% 40.94/6.71 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 40.94/6.71 | (convergent_lines(v1, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) |
% 40.94/6.71 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | convergent_lines(v0, v2) = 0)
% 40.94/6.71 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] :
% 40.94/6.71 | (v4 = 0 | v3 = 0 | ~ (convergent_lines(v1, v2) = v4) | ~
% 40.94/6.71 | (convergent_lines(v0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 40.94/6.71 | ? [v5: int] : ( ~ (v5 = 0) & convergent_lines(v0, v1) = v5))
% 40.94/6.71 |
% 40.94/6.71 | ALPHA: (ci3) implies:
% 40.94/6.71 | (4) ! [v0: $i] : ! [v1: $i] : ( ~ (convergent_lines(v0, v1) = 0) | ~
% 40.94/6.71 | $i(v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) &
% 40.94/6.71 | intersection_point(v0, v1) = v2 & apart_point_and_line(v2, v0) = v3
% 40.94/6.71 | & $i(v2)))
% 40.94/6.71 |
% 40.94/6.71 | ALPHA: (ci4) implies:
% 40.94/6.72 | (5) ! [v0: $i] : ! [v1: $i] : ( ~ (convergent_lines(v0, v1) = 0) | ~
% 40.94/6.72 | $i(v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) &
% 40.94/6.72 | intersection_point(v0, v1) = v2 & apart_point_and_line(v2, v1) = v3
% 40.94/6.72 | & $i(v2)))
% 40.94/6.72 |
% 40.94/6.72 | ALPHA: (cu1) implies:
% 40.94/6.72 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 40.94/6.72 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v2) = v5)
% 40.94/6.72 | | ~ (apart_point_and_line(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~
% 40.94/6.72 | $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ?
% 40.94/6.72 | [v9: any] : (apart_point_and_line(v1, v3) = v9 &
% 40.94/6.72 | apart_point_and_line(v0, v2) = v8 & distinct_lines(v2, v3) = v7 &
% 40.94/6.72 | distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0
% 40.94/6.72 | | v8 = 0)))
% 40.94/6.72 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 40.94/6.72 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = v5)
% 40.94/6.72 | | ~ (apart_point_and_line(v0, v2) = v4) | ~ $i(v3) | ~ $i(v2) | ~
% 40.94/6.72 | $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ?
% 40.94/6.72 | [v9: any] : (apart_point_and_line(v1, v2) = v9 &
% 40.94/6.72 | apart_point_and_line(v0, v3) = v8 & distinct_lines(v2, v3) = v7 &
% 40.94/6.72 | distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0
% 40.94/6.72 | | v8 = 0)))
% 40.94/6.72 |
% 40.94/6.72 | ALPHA: (ceq2) implies:
% 40.94/6.72 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] :
% 40.94/6.72 | (v4 = 0 | v3 = 0 | ~ (apart_point_and_line(v0, v2) = v4) | ~
% 40.94/6.72 | (distinct_lines(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 40.94/6.72 | ? [v5: int] : ( ~ (v5 = 0) & apart_point_and_line(v0, v1) = v5))
% 40.94/6.72 |
% 40.94/6.72 | ALPHA: (ceq3) implies:
% 40.94/6.72 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 40.94/6.72 | (convergent_lines(v0, v1) = 0) | ~ (distinct_lines(v1, v2) = v3) |
% 40.94/6.72 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | convergent_lines(v0, v2) = 0)
% 40.94/6.72 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int]
% 40.94/6.72 | : (v4 = 0 | v3 = 0 | ~ (convergent_lines(v0, v2) = v4) | ~
% 40.94/6.72 | (distinct_lines(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 40.94/6.72 | ? [v5: int] : ( ~ (v5 = 0) & convergent_lines(v0, v1) = v5))
% 40.94/6.72 |
% 40.94/6.72 | ALPHA: (cup1) implies:
% 40.94/6.72 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int]
% 40.94/6.72 | : (v4 = 0 | v3 = 0 | ~ (apart_point_and_line(v0, v2) = v4) | ~
% 40.94/6.72 | (apart_point_and_line(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 40.94/6.72 | $i(v0) | ? [v5: any] : ? [v6: any] : (convergent_lines(v1, v2) =
% 40.94/6.72 | v6 & distinct_lines(v1, v2) = v5 & ( ~ (v5 = 0) | v6 = 0)))
% 40.94/6.72 |
% 40.94/6.72 | ALPHA: (occu1) implies:
% 40.94/6.72 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 40.94/6.72 | (unorthogonal_lines(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) |
% 40.94/6.72 | convergent_lines(v0, v1) = 0)
% 40.94/6.72 |
% 40.94/6.72 | ALPHA: (oac1) implies:
% 40.94/6.73 | (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~
% 40.94/6.73 | (convergent_lines(v0, v2) = v3) | ~ (convergent_lines(v0, v1) = 0)
% 40.94/6.73 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] :
% 40.94/6.73 | ? [v6: any] : ? [v7: any] : (unorthogonal_lines(v1, v2) = v7 &
% 40.94/6.73 | unorthogonal_lines(v0, v2) = v5 & unorthogonal_lines(v0, v1) = v4
% 40.94/6.73 | & convergent_lines(v1, v2) = v6 & ( ~ (v4 = 0) | (v7 = 0 & v6 = 0)
% 40.94/6.73 | | (v5 = 0 & v3 = 0))))
% 40.94/6.73 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~
% 40.94/6.73 | (convergent_lines(v1, v2) = v3) | ~ (convergent_lines(v0, v1) = 0)
% 40.94/6.73 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] :
% 40.94/6.73 | ? [v6: any] : ? [v7: any] : (unorthogonal_lines(v1, v2) = v7 &
% 40.94/6.73 | unorthogonal_lines(v0, v2) = v6 & unorthogonal_lines(v0, v1) = v4
% 40.94/6.73 | & convergent_lines(v0, v2) = v5 & ( ~ (v4 = 0) | (v7 = 0 & v3 = 0)
% 40.94/6.73 | | (v6 = 0 & v5 = 0))))
% 40.94/6.73 | (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~
% 40.94/6.73 | (unorthogonal_lines(v0, v1) = 0) | ~ (convergent_lines(v0, v2) =
% 40.94/6.73 | v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5:
% 40.94/6.73 | any] : ? [v6: any] : ? [v7: any] : (unorthogonal_lines(v1, v2) =
% 40.94/6.73 | v7 & unorthogonal_lines(v0, v2) = v5 & convergent_lines(v1, v2) =
% 40.94/6.73 | v6 & convergent_lines(v0, v1) = v4 & ( ~ (v4 = 0) | (v7 = 0 & v6 =
% 40.94/6.73 | 0) | (v5 = 0 & v3 = 0))))
% 41.72/6.73 | (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~
% 41.72/6.73 | (unorthogonal_lines(v0, v1) = 0) | ~ (convergent_lines(v1, v2) =
% 41.72/6.73 | v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5:
% 41.72/6.73 | any] : ? [v6: any] : ? [v7: any] : (unorthogonal_lines(v1, v2) =
% 41.72/6.73 | v7 & unorthogonal_lines(v0, v2) = v6 & convergent_lines(v0, v2) =
% 41.72/6.73 | v5 & convergent_lines(v0, v1) = v4 & ( ~ (v4 = 0) | (v7 = 0 & v3 =
% 41.72/6.73 | 0) | (v6 = 0 & v5 = 0))))
% 41.72/6.73 | (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~
% 41.72/6.73 | (unorthogonal_lines(v0, v2) = v3) | ~ (convergent_lines(v0, v1) =
% 41.72/6.73 | 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5:
% 41.72/6.73 | any] : ? [v6: any] : ? [v7: any] : (unorthogonal_lines(v1, v2) =
% 41.72/6.73 | v7 & unorthogonal_lines(v0, v1) = v4 & convergent_lines(v1, v2) =
% 41.72/6.73 | v6 & convergent_lines(v0, v2) = v5 & ( ~ (v4 = 0) | (v7 = 0 & v6 =
% 41.72/6.73 | 0) | (v5 = 0 & v3 = 0))))
% 41.72/6.73 | (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~
% 41.72/6.73 | (unorthogonal_lines(v0, v2) = v3) | ~ (unorthogonal_lines(v0, v1) =
% 41.72/6.73 | 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5:
% 41.72/6.73 | any] : ? [v6: any] : ? [v7: any] : (unorthogonal_lines(v1, v2) =
% 41.72/6.73 | v7 & convergent_lines(v1, v2) = v6 & convergent_lines(v0, v2) = v5
% 41.72/6.73 | & convergent_lines(v0, v1) = v4 & ( ~ (v4 = 0) | (v7 = 0 & v6 = 0)
% 41.72/6.73 | | (v5 = 0 & v3 = 0))))
% 41.72/6.74 | (19) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~
% 41.72/6.74 | (unorthogonal_lines(v1, v2) = v3) | ~ (unorthogonal_lines(v0, v1) =
% 41.72/6.74 | 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5:
% 41.72/6.74 | any] : ? [v6: any] : ? [v7: any] : (unorthogonal_lines(v0, v2) =
% 41.72/6.74 | v6 & convergent_lines(v1, v2) = v7 & convergent_lines(v0, v2) = v5
% 41.72/6.74 | & convergent_lines(v0, v1) = v4 & ( ~ (v4 = 0) | (v7 = 0 & v3 = 0)
% 41.72/6.74 | | (v6 = 0 & v5 = 0))))
% 41.72/6.74 | (20) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any]
% 41.72/6.74 | : ( ~ (convergent_lines(v1, v2) = v4) | ~ (convergent_lines(v0, v2) =
% 41.72/6.74 | v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6:
% 41.72/6.74 | any] : ? [v7: any] : ? [v8: any] : (unorthogonal_lines(v1, v2) =
% 41.72/6.74 | v8 & unorthogonal_lines(v0, v2) = v7 & unorthogonal_lines(v0, v1)
% 41.72/6.74 | = v6 & convergent_lines(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)
% 41.72/6.74 | | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0))))
% 41.72/6.74 | (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any]
% 41.72/6.74 | : ( ~ (unorthogonal_lines(v0, v2) = v3) | ~ (convergent_lines(v1, v2)
% 41.72/6.74 | = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6:
% 41.72/6.74 | any] : ? [v7: any] : ? [v8: any] : (unorthogonal_lines(v1, v2) =
% 41.72/6.74 | v8 & unorthogonal_lines(v0, v1) = v6 & convergent_lines(v0, v2) =
% 41.72/6.74 | v7 & convergent_lines(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) |
% 41.72/6.74 | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0))))
% 41.72/6.74 | (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any]
% 41.72/6.74 | : ( ~ (unorthogonal_lines(v1, v2) = v4) | ~ (convergent_lines(v0, v2)
% 41.72/6.74 | = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6:
% 41.72/6.74 | any] : ? [v7: any] : ? [v8: any] : (unorthogonal_lines(v0, v2) =
% 41.72/6.74 | v7 & unorthogonal_lines(v0, v1) = v6 & convergent_lines(v1, v2) =
% 41.72/6.74 | v8 & convergent_lines(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) |
% 41.72/6.74 | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0))))
% 41.72/6.74 | (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any]
% 41.72/6.74 | : ( ~ (unorthogonal_lines(v1, v2) = v4) | ~ (unorthogonal_lines(v0,
% 41.72/6.74 | v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] :
% 41.72/6.74 | ? [v6: any] : ? [v7: any] : ? [v8: any] : (unorthogonal_lines(v0,
% 41.72/6.74 | v1) = v6 & convergent_lines(v1, v2) = v8 & convergent_lines(v0,
% 41.72/6.74 | v2) = v7 & convergent_lines(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5
% 41.72/6.74 | = 0) | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0))))
% 41.72/6.74 |
% 41.72/6.74 | ALPHA: (ouo1) implies:
% 41.72/6.74 | (24) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 41.72/6.74 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (unorthogonal_lines(v1, v3) = v5)
% 41.72/6.74 | | ~ (apart_point_and_line(v0, v2) = v4) | ~ $i(v3) | ~ $i(v2) |
% 41.72/6.74 | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 41.72/6.74 | (unorthogonal_lines(v2, v3) = v8 & apart_point_and_line(v0, v1) = v7
% 41.72/6.74 | & distinct_lines(v1, v2) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0)))
% 41.72/6.75 | (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 41.72/6.75 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (unorthogonal_lines(v2, v3) = v5)
% 41.72/6.75 | | ~ (apart_point_and_line(v0, v1) = v4) | ~ $i(v3) | ~ $i(v2) |
% 41.72/6.75 | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 41.72/6.75 | (unorthogonal_lines(v1, v3) = v8 & apart_point_and_line(v0, v2) = v7
% 41.72/6.75 | & distinct_lines(v1, v2) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0)))
% 41.72/6.75 |
% 41.72/6.75 | ALPHA: (function-axioms) implies:
% 41.72/6.75 | (26) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 41.72/6.75 | : ! [v3: $i] : (v1 = v0 | ~ (distinct_lines(v3, v2) = v1) | ~
% 41.72/6.75 | (distinct_lines(v3, v2) = v0))
% 41.72/6.75 | (27) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 41.72/6.75 | : ! [v3: $i] : (v1 = v0 | ~ (convergent_lines(v3, v2) = v1) | ~
% 41.72/6.75 | (convergent_lines(v3, v2) = v0))
% 41.72/6.75 | (28) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 41.72/6.75 | : ! [v3: $i] : (v1 = v0 | ~ (apart_point_and_line(v3, v2) = v1) | ~
% 41.72/6.75 | (apart_point_and_line(v3, v2) = v0))
% 41.72/6.75 | (29) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 41.72/6.75 | (intersection_point(v3, v2) = v1) | ~ (intersection_point(v3, v2) =
% 41.72/6.75 | v0))
% 41.72/6.75 | (30) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 41.72/6.75 | : ! [v3: $i] : (v1 = v0 | ~ (unorthogonal_lines(v3, v2) = v1) | ~
% 41.72/6.75 | (unorthogonal_lines(v3, v2) = v0))
% 41.72/6.75 |
% 41.72/6.75 | DELTA: instantiating (con) with fresh symbols all_25_0, all_25_1, all_25_2,
% 41.72/6.75 | all_25_3, all_25_4 gives:
% 41.72/6.75 | (31) ~ (all_25_0 = 0) & ~ (all_25_1 = 0) & unorthogonal_lines(all_25_3,
% 41.72/6.75 | all_25_2) = all_25_0 & unorthogonal_lines(all_25_4, all_25_3) = 0 &
% 41.72/6.75 | distinct_lines(all_25_4, all_25_2) = all_25_1 & $i(all_25_2) &
% 41.72/6.75 | $i(all_25_3) & $i(all_25_4)
% 41.72/6.75 |
% 41.72/6.75 | ALPHA: (31) implies:
% 41.72/6.75 | (32) ~ (all_25_1 = 0)
% 41.72/6.75 | (33) ~ (all_25_0 = 0)
% 41.72/6.75 | (34) $i(all_25_4)
% 41.72/6.75 | (35) $i(all_25_3)
% 41.72/6.75 | (36) $i(all_25_2)
% 41.72/6.75 | (37) distinct_lines(all_25_4, all_25_2) = all_25_1
% 41.72/6.75 | (38) unorthogonal_lines(all_25_4, all_25_3) = 0
% 41.72/6.75 | (39) unorthogonal_lines(all_25_3, all_25_2) = all_25_0
% 41.72/6.75 |
% 41.72/6.75 | GROUND_INST: instantiating (23) with all_25_4, all_25_4, all_25_3, 0, 0,
% 41.72/6.75 | simplifying with (34), (35), (38) gives:
% 41.72/6.75 | (40) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 41.72/6.75 | (unorthogonal_lines(all_25_4, all_25_4) = v1 &
% 41.72/6.75 | convergent_lines(all_25_4, all_25_3) = v3 &
% 41.72/6.75 | convergent_lines(all_25_4, all_25_3) = v2 &
% 41.72/6.75 | convergent_lines(all_25_4, all_25_4) = v0 & ( ~ (v1 = 0) | ~ (v0 =
% 41.72/6.75 | 0) | v3 = 0 | v2 = 0))
% 41.72/6.75 |
% 41.72/6.76 | GROUND_INST: instantiating (18) with all_25_4, all_25_3, all_25_3, 0,
% 41.72/6.76 | simplifying with (34), (35), (38) gives:
% 41.72/6.76 | (41) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 41.72/6.76 | (unorthogonal_lines(all_25_3, all_25_3) = v3 &
% 41.72/6.76 | convergent_lines(all_25_3, all_25_3) = v2 &
% 41.72/6.76 | convergent_lines(all_25_4, all_25_3) = v1 &
% 41.72/6.76 | convergent_lines(all_25_4, all_25_3) = v0 & ( ~ (v0 = 0) | v1 = 0 |
% 41.72/6.76 | (v3 = 0 & v2 = 0)))
% 41.72/6.76 |
% 41.72/6.76 | GROUND_INST: instantiating (23) with all_25_3, all_25_3, all_25_2, all_25_0,
% 41.72/6.76 | all_25_0, simplifying with (35), (36), (39) gives:
% 41.72/6.76 | (42) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 41.72/6.76 | (unorthogonal_lines(all_25_3, all_25_3) = v1 &
% 41.72/6.76 | convergent_lines(all_25_3, all_25_2) = v3 &
% 41.72/6.76 | convergent_lines(all_25_3, all_25_2) = v2 &
% 41.72/6.76 | convergent_lines(all_25_3, all_25_3) = v0 & ( ~ (v1 = 0) | ~ (v0 =
% 41.72/6.76 | 0) | (v3 = 0 & all_25_0 = 0) | (v2 = 0 & all_25_0 = 0)))
% 41.72/6.76 |
% 41.72/6.76 | GROUND_INST: instantiating (19) with all_25_4, all_25_3, all_25_2, all_25_0,
% 41.72/6.76 | simplifying with (34), (35), (36), (38), (39) gives:
% 41.72/6.76 | (43) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 41.72/6.76 | (unorthogonal_lines(all_25_4, all_25_2) = v2 &
% 41.72/6.76 | convergent_lines(all_25_3, all_25_2) = v3 &
% 41.72/6.76 | convergent_lines(all_25_4, all_25_2) = v1 &
% 41.72/6.76 | convergent_lines(all_25_4, all_25_3) = v0 & ( ~ (v0 = 0) | (v3 = 0 &
% 41.72/6.76 | all_25_0 = 0) | (v2 = 0 & v1 = 0)))
% 41.72/6.76 |
% 41.72/6.76 | GROUND_INST: instantiating (12) with all_25_3, all_25_2, all_25_0, simplifying
% 41.72/6.76 | with (35), (36), (39) gives:
% 41.72/6.76 | (44) all_25_0 = 0 | convergent_lines(all_25_3, all_25_2) = 0
% 41.72/6.76 |
% 41.72/6.76 | DELTA: instantiating (41) with fresh symbols all_32_0, all_32_1, all_32_2,
% 41.72/6.76 | all_32_3 gives:
% 41.72/6.76 | (45) unorthogonal_lines(all_25_3, all_25_3) = all_32_0 &
% 41.72/6.76 | convergent_lines(all_25_3, all_25_3) = all_32_1 &
% 41.72/6.76 | convergent_lines(all_25_4, all_25_3) = all_32_2 &
% 41.72/6.76 | convergent_lines(all_25_4, all_25_3) = all_32_3 & ( ~ (all_32_3 = 0) |
% 41.72/6.76 | all_32_2 = 0 | (all_32_0 = 0 & all_32_1 = 0))
% 41.72/6.76 |
% 41.72/6.76 | ALPHA: (45) implies:
% 41.72/6.76 | (46) convergent_lines(all_25_4, all_25_3) = all_32_3
% 41.72/6.76 | (47) convergent_lines(all_25_4, all_25_3) = all_32_2
% 41.72/6.76 | (48) convergent_lines(all_25_3, all_25_3) = all_32_1
% 41.72/6.76 | (49) unorthogonal_lines(all_25_3, all_25_3) = all_32_0
% 41.72/6.76 |
% 41.72/6.76 | DELTA: instantiating (40) with fresh symbols all_34_0, all_34_1, all_34_2,
% 41.72/6.76 | all_34_3 gives:
% 41.72/6.76 | (50) unorthogonal_lines(all_25_4, all_25_4) = all_34_2 &
% 41.72/6.76 | convergent_lines(all_25_4, all_25_3) = all_34_0 &
% 41.72/6.76 | convergent_lines(all_25_4, all_25_3) = all_34_1 &
% 41.72/6.76 | convergent_lines(all_25_4, all_25_4) = all_34_3 & ( ~ (all_34_2 = 0) |
% 41.72/6.76 | ~ (all_34_3 = 0) | all_34_0 = 0 | all_34_1 = 0)
% 41.72/6.76 |
% 41.72/6.76 | ALPHA: (50) implies:
% 41.72/6.76 | (51) convergent_lines(all_25_4, all_25_4) = all_34_3
% 41.72/6.76 | (52) convergent_lines(all_25_4, all_25_3) = all_34_1
% 41.72/6.76 | (53) convergent_lines(all_25_4, all_25_3) = all_34_0
% 41.72/6.76 | (54) unorthogonal_lines(all_25_4, all_25_4) = all_34_2
% 41.72/6.76 |
% 41.72/6.76 | DELTA: instantiating (43) with fresh symbols all_36_0, all_36_1, all_36_2,
% 41.72/6.76 | all_36_3 gives:
% 41.72/6.76 | (55) unorthogonal_lines(all_25_4, all_25_2) = all_36_1 &
% 41.72/6.76 | convergent_lines(all_25_3, all_25_2) = all_36_0 &
% 41.72/6.76 | convergent_lines(all_25_4, all_25_2) = all_36_2 &
% 41.72/6.76 | convergent_lines(all_25_4, all_25_3) = all_36_3 & ( ~ (all_36_3 = 0) |
% 41.72/6.76 | (all_36_0 = 0 & all_25_0 = 0) | (all_36_1 = 0 & all_36_2 = 0))
% 41.72/6.76 |
% 41.72/6.76 | ALPHA: (55) implies:
% 41.72/6.76 | (56) convergent_lines(all_25_4, all_25_3) = all_36_3
% 41.72/6.76 | (57) convergent_lines(all_25_4, all_25_2) = all_36_2
% 41.72/6.76 | (58) convergent_lines(all_25_3, all_25_2) = all_36_0
% 41.72/6.76 | (59) unorthogonal_lines(all_25_4, all_25_2) = all_36_1
% 41.72/6.77 | (60) ~ (all_36_3 = 0) | (all_36_0 = 0 & all_25_0 = 0) | (all_36_1 = 0 &
% 41.72/6.77 | all_36_2 = 0)
% 41.72/6.77 |
% 41.72/6.77 | DELTA: instantiating (42) with fresh symbols all_38_0, all_38_1, all_38_2,
% 41.72/6.77 | all_38_3 gives:
% 41.72/6.77 | (61) unorthogonal_lines(all_25_3, all_25_3) = all_38_2 &
% 41.72/6.77 | convergent_lines(all_25_3, all_25_2) = all_38_0 &
% 41.72/6.77 | convergent_lines(all_25_3, all_25_2) = all_38_1 &
% 41.72/6.77 | convergent_lines(all_25_3, all_25_3) = all_38_3 & ( ~ (all_38_2 = 0) |
% 41.72/6.77 | ~ (all_38_3 = 0) | (all_38_0 = 0 & all_25_0 = 0) | (all_38_1 = 0 &
% 41.72/6.77 | all_25_0 = 0))
% 41.72/6.77 |
% 41.72/6.77 | ALPHA: (61) implies:
% 41.72/6.77 | (62) convergent_lines(all_25_3, all_25_3) = all_38_3
% 41.72/6.77 | (63) convergent_lines(all_25_3, all_25_2) = all_38_1
% 41.72/6.77 | (64) convergent_lines(all_25_3, all_25_2) = all_38_0
% 41.72/6.77 | (65) unorthogonal_lines(all_25_3, all_25_3) = all_38_2
% 41.72/6.77 | (66) ~ (all_38_2 = 0) | ~ (all_38_3 = 0) | (all_38_0 = 0 & all_25_0 = 0)
% 41.72/6.77 | | (all_38_1 = 0 & all_25_0 = 0)
% 41.72/6.77 |
% 41.72/6.77 | BETA: splitting (44) gives:
% 41.72/6.77 |
% 41.72/6.77 | Case 1:
% 41.72/6.77 | |
% 41.72/6.77 | | (67) convergent_lines(all_25_3, all_25_2) = 0
% 41.72/6.77 | |
% 41.72/6.77 | | GROUND_INST: instantiating (27) with all_34_1, all_34_0, all_25_3, all_25_4,
% 41.72/6.77 | | simplifying with (52), (53) gives:
% 41.72/6.77 | | (68) all_34_0 = all_34_1
% 41.72/6.77 | |
% 41.72/6.77 | | GROUND_INST: instantiating (27) with all_32_3, all_34_0, all_25_3, all_25_4,
% 41.72/6.77 | | simplifying with (46), (53) gives:
% 41.72/6.77 | | (69) all_34_0 = all_32_3
% 41.72/6.77 | |
% 41.72/6.77 | | GROUND_INST: instantiating (27) with all_34_0, all_36_3, all_25_3, all_25_4,
% 41.72/6.77 | | simplifying with (53), (56) gives:
% 41.72/6.77 | | (70) all_36_3 = all_34_0
% 41.72/6.77 | |
% 41.72/6.77 | | GROUND_INST: instantiating (27) with all_32_2, all_36_3, all_25_3, all_25_4,
% 41.72/6.77 | | simplifying with (47), (56) gives:
% 41.72/6.77 | | (71) all_36_3 = all_32_2
% 41.72/6.77 | |
% 41.72/6.77 | | GROUND_INST: instantiating (27) with all_32_1, all_38_3, all_25_3, all_25_3,
% 41.72/6.77 | | simplifying with (48), (62) gives:
% 41.72/6.77 | | (72) all_38_3 = all_32_1
% 41.72/6.77 | |
% 41.72/6.77 | | GROUND_INST: instantiating (27) with 0, all_38_1, all_25_2, all_25_3,
% 41.72/6.77 | | simplifying with (63), (67) gives:
% 41.72/6.77 | | (73) all_38_1 = 0
% 41.72/6.77 | |
% 41.72/6.77 | | GROUND_INST: instantiating (27) with all_38_1, all_38_0, all_25_2, all_25_3,
% 41.72/6.77 | | simplifying with (63), (64) gives:
% 41.72/6.77 | | (74) all_38_0 = all_38_1
% 41.72/6.77 | |
% 41.72/6.77 | | GROUND_INST: instantiating (27) with all_36_0, all_38_0, all_25_2, all_25_3,
% 41.72/6.77 | | simplifying with (58), (64) gives:
% 41.72/6.77 | | (75) all_38_0 = all_36_0
% 41.72/6.77 | |
% 41.72/6.77 | | GROUND_INST: instantiating (30) with all_32_0, all_38_2, all_25_3, all_25_3,
% 41.72/6.77 | | simplifying with (49), (65) gives:
% 41.72/6.77 | | (76) all_38_2 = all_32_0
% 41.72/6.77 | |
% 41.72/6.77 | | COMBINE_EQS: (74), (75) imply:
% 41.72/6.77 | | (77) all_38_1 = all_36_0
% 41.72/6.77 | |
% 41.72/6.77 | | SIMP: (77) implies:
% 41.72/6.77 | | (78) all_38_1 = all_36_0
% 41.72/6.77 | |
% 41.72/6.77 | | COMBINE_EQS: (73), (78) imply:
% 41.72/6.78 | | (79) all_36_0 = 0
% 41.72/6.78 | |
% 41.72/6.78 | | COMBINE_EQS: (70), (71) imply:
% 41.72/6.78 | | (80) all_34_0 = all_32_2
% 41.72/6.78 | |
% 41.72/6.78 | | SIMP: (80) implies:
% 41.72/6.78 | | (81) all_34_0 = all_32_2
% 41.72/6.78 | |
% 41.72/6.78 | | COMBINE_EQS: (68), (69) imply:
% 41.72/6.78 | | (82) all_34_1 = all_32_3
% 41.72/6.78 | |
% 41.72/6.78 | | COMBINE_EQS: (68), (81) imply:
% 41.72/6.78 | | (83) all_34_1 = all_32_2
% 41.72/6.78 | |
% 41.72/6.78 | | COMBINE_EQS: (82), (83) imply:
% 41.72/6.78 | | (84) all_32_2 = all_32_3
% 41.72/6.78 | |
% 41.72/6.78 | | COMBINE_EQS: (71), (84) imply:
% 41.72/6.78 | | (85) all_36_3 = all_32_3
% 41.72/6.78 | |
% 41.72/6.78 | | GROUND_INST: instantiating (15) with all_25_4, all_25_3, all_25_4, all_34_3,
% 41.72/6.78 | | simplifying with (34), (35), (38), (51) gives:
% 41.72/6.78 | | (86) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 41.72/6.78 | | (unorthogonal_lines(all_25_3, all_25_4) = v3 &
% 41.72/6.78 | | unorthogonal_lines(all_25_4, all_25_4) = v1 &
% 41.72/6.78 | | convergent_lines(all_25_3, all_25_4) = v2 &
% 41.72/6.78 | | convergent_lines(all_25_4, all_25_3) = v0 & ( ~ (v0 = 0) | (v3 = 0
% 41.72/6.78 | | & v2 = 0) | (v1 = 0 & all_34_3 = 0)))
% 41.72/6.78 | |
% 41.72/6.78 | | GROUND_INST: instantiating (20) with all_25_4, all_25_4, all_25_3, all_32_3,
% 41.72/6.78 | | all_32_3, simplifying with (34), (35), (46) gives:
% 41.72/6.78 | | (87) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 41.72/6.78 | | (unorthogonal_lines(all_25_4, all_25_3) = v3 &
% 41.72/6.78 | | unorthogonal_lines(all_25_4, all_25_3) = v2 &
% 41.72/6.78 | | unorthogonal_lines(all_25_4, all_25_4) = v1 &
% 41.72/6.78 | | convergent_lines(all_25_4, all_25_4) = v0 & ( ~ (v1 = 0) | ~ (v0
% 41.72/6.78 | | = 0) | (v3 = 0 & all_32_3 = 0) | (v2 = 0 & all_32_3 = 0)))
% 41.72/6.78 | |
% 41.72/6.78 | | GROUND_INST: instantiating (22) with all_25_4, all_25_4, all_25_3, all_32_3,
% 41.72/6.78 | | 0, simplifying with (34), (35), (38), (46) gives:
% 41.72/6.78 | | (88) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 41.72/6.78 | | (unorthogonal_lines(all_25_4, all_25_3) = v2 &
% 41.72/6.78 | | unorthogonal_lines(all_25_4, all_25_4) = v1 &
% 41.72/6.78 | | convergent_lines(all_25_4, all_25_3) = v3 &
% 41.72/6.78 | | convergent_lines(all_25_4, all_25_4) = v0 & ( ~ (v1 = 0) | ~ (v0
% 41.72/6.78 | | = 0) | v3 = 0 | (v2 = 0 & all_32_3 = 0)))
% 41.72/6.78 | |
% 41.72/6.78 | | GROUND_INST: instantiating (21) with all_25_4, all_25_4, all_25_3, 0,
% 41.72/6.78 | | all_32_3, simplifying with (34), (35), (38), (46) gives:
% 41.72/6.78 | | (89) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 41.72/6.78 | | (unorthogonal_lines(all_25_4, all_25_3) = v3 &
% 41.72/6.78 | | unorthogonal_lines(all_25_4, all_25_4) = v1 &
% 41.72/6.78 | | convergent_lines(all_25_4, all_25_3) = v2 &
% 41.72/6.78 | | convergent_lines(all_25_4, all_25_4) = v0 & ( ~ (v1 = 0) | ~ (v0
% 41.72/6.78 | | = 0) | v2 = 0 | (v3 = 0 & all_32_3 = 0)))
% 41.72/6.78 | |
% 41.72/6.78 | | GROUND_INST: instantiating (20) with all_25_4, all_25_4, all_25_2, all_36_2,
% 41.72/6.78 | | all_36_2, simplifying with (34), (36), (57) gives:
% 41.72/6.78 | | (90) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 41.72/6.78 | | (unorthogonal_lines(all_25_4, all_25_2) = v3 &
% 41.72/6.78 | | unorthogonal_lines(all_25_4, all_25_2) = v2 &
% 41.72/6.78 | | unorthogonal_lines(all_25_4, all_25_4) = v1 &
% 41.72/6.78 | | convergent_lines(all_25_4, all_25_4) = v0 & ( ~ (v1 = 0) | ~ (v0
% 41.72/6.78 | | = 0) | (v3 = 0 & all_36_2 = 0) | (v2 = 0 & all_36_2 = 0)))
% 41.72/6.78 | |
% 41.72/6.78 | | GROUND_INST: instantiating (22) with all_25_4, all_25_3, all_25_2, all_36_2,
% 41.72/6.78 | | all_25_0, simplifying with (34), (35), (36), (39), (57) gives:
% 41.72/6.79 | | (91) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 41.72/6.79 | | (unorthogonal_lines(all_25_4, all_25_2) = v2 &
% 41.72/6.79 | | unorthogonal_lines(all_25_4, all_25_3) = v1 &
% 41.72/6.79 | | convergent_lines(all_25_3, all_25_2) = v3 &
% 41.72/6.79 | | convergent_lines(all_25_4, all_25_3) = v0 & ( ~ (v1 = 0) | ~ (v0
% 41.72/6.79 | | = 0) | (v3 = 0 & all_25_0 = 0) | (v2 = 0 & all_36_2 = 0)))
% 41.72/6.79 | |
% 41.72/6.79 | | GROUND_INST: instantiating (21) with all_25_3, all_25_4, all_25_2, all_25_0,
% 41.72/6.79 | | all_36_2, simplifying with (34), (35), (36), (39), (57) gives:
% 41.72/6.79 | | (92) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 41.72/6.79 | | (unorthogonal_lines(all_25_3, all_25_4) = v1 &
% 41.72/6.79 | | unorthogonal_lines(all_25_4, all_25_2) = v3 &
% 41.72/6.79 | | convergent_lines(all_25_3, all_25_2) = v2 &
% 41.72/6.79 | | convergent_lines(all_25_3, all_25_4) = v0 & ( ~ (v1 = 0) | ~ (v0
% 41.72/6.79 | | = 0) | (v3 = 0 & all_36_2 = 0) | (v2 = 0 & all_25_0 = 0)))
% 41.72/6.79 | |
% 41.72/6.79 | | GROUND_INST: instantiating (15) with all_25_4, all_25_3, all_25_2, all_36_2,
% 41.72/6.79 | | simplifying with (34), (35), (36), (38), (57) gives:
% 41.72/6.79 | | (93) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 41.72/6.79 | | (unorthogonal_lines(all_25_3, all_25_2) = v3 &
% 41.72/6.79 | | unorthogonal_lines(all_25_4, all_25_2) = v1 &
% 41.72/6.79 | | convergent_lines(all_25_3, all_25_2) = v2 &
% 41.72/6.79 | | convergent_lines(all_25_4, all_25_3) = v0 & ( ~ (v0 = 0) | (v3 = 0
% 41.72/6.79 | | & v2 = 0) | (v1 = 0 & all_36_2 = 0)))
% 41.72/6.79 | |
% 41.72/6.79 | | GROUND_INST: instantiating (3) with all_25_3, all_25_4, all_25_3, all_32_1,
% 41.72/6.79 | | all_32_3, simplifying with (34), (35), (46), (48) gives:
% 41.72/6.79 | | (94) all_32_1 = 0 | all_32_3 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 41.72/6.79 | | convergent_lines(all_25_3, all_25_4) = v0)
% 41.72/6.79 | |
% 41.72/6.79 | | GROUND_INST: instantiating (20) with all_25_3, all_25_4, all_25_3, all_32_1,
% 41.72/6.79 | | all_32_3, simplifying with (34), (35), (46), (48) gives:
% 41.72/6.79 | | (95) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 41.72/6.79 | | (unorthogonal_lines(all_25_3, all_25_3) = v2 &
% 41.72/6.79 | | unorthogonal_lines(all_25_3, all_25_4) = v1 &
% 41.72/6.79 | | unorthogonal_lines(all_25_4, all_25_3) = v3 &
% 41.72/6.79 | | convergent_lines(all_25_3, all_25_4) = v0 & ( ~ (v1 = 0) | ~ (v0
% 41.72/6.79 | | = 0) | (v3 = 0 & all_32_3 = 0) | (v2 = 0 & all_32_1 = 0)))
% 41.72/6.79 | |
% 41.72/6.79 | | GROUND_INST: instantiating (22) with all_25_3, all_25_4, all_25_3, all_32_1,
% 41.72/6.79 | | 0, simplifying with (34), (35), (38), (48) gives:
% 41.72/6.79 | | (96) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 41.72/6.79 | | (unorthogonal_lines(all_25_3, all_25_3) = v2 &
% 41.72/6.79 | | unorthogonal_lines(all_25_3, all_25_4) = v1 &
% 41.72/6.79 | | convergent_lines(all_25_3, all_25_4) = v0 &
% 41.72/6.79 | | convergent_lines(all_25_4, all_25_3) = v3 & ( ~ (v1 = 0) | ~ (v0
% 41.72/6.79 | | = 0) | v3 = 0 | (v2 = 0 & all_32_1 = 0)))
% 41.72/6.79 | |
% 41.72/6.79 | | GROUND_INST: instantiating (13) with all_25_3, all_25_2, all_25_2, 0,
% 41.72/6.79 | | simplifying with (35), (36), (67) gives:
% 41.72/6.79 | | (97) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 41.72/6.79 | | (unorthogonal_lines(all_25_2, all_25_2) = v3 &
% 41.72/6.79 | | unorthogonal_lines(all_25_3, all_25_2) = v1 &
% 41.72/6.79 | | unorthogonal_lines(all_25_3, all_25_2) = v0 &
% 41.72/6.79 | | convergent_lines(all_25_2, all_25_2) = v2 & ( ~ (v0 = 0) | v1 = 0
% 41.72/6.79 | | | (v3 = 0 & v2 = 0)))
% 41.72/6.79 | |
% 41.72/6.79 | | GROUND_INST: instantiating (20) with all_25_3, all_25_3, all_25_2, 0, 0,
% 41.72/6.79 | | simplifying with (35), (36), (67) gives:
% 41.72/6.79 | | (98) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 41.72/6.79 | | (unorthogonal_lines(all_25_3, all_25_2) = v3 &
% 41.72/6.79 | | unorthogonal_lines(all_25_3, all_25_2) = v2 &
% 41.72/6.79 | | unorthogonal_lines(all_25_3, all_25_3) = v1 &
% 41.72/6.79 | | convergent_lines(all_25_3, all_25_3) = v0 & ( ~ (v1 = 0) | ~ (v0
% 41.72/6.79 | | = 0) | v3 = 0 | v2 = 0))
% 41.72/6.79 | |
% 41.72/6.79 | | GROUND_INST: instantiating (20) with all_25_4, all_25_3, all_25_2, all_36_2,
% 41.72/6.79 | | 0, simplifying with (34), (35), (36), (57), (67) gives:
% 41.72/6.79 | | (99) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 41.72/6.79 | | (unorthogonal_lines(all_25_3, all_25_2) = v3 &
% 41.72/6.79 | | unorthogonal_lines(all_25_4, all_25_2) = v2 &
% 41.72/6.79 | | unorthogonal_lines(all_25_4, all_25_3) = v1 &
% 41.72/6.79 | | convergent_lines(all_25_4, all_25_3) = v0 & ( ~ (v1 = 0) | ~ (v0
% 41.72/6.79 | | = 0) | v3 = 0 | (v2 = 0 & all_36_2 = 0)))
% 41.72/6.79 | |
% 41.72/6.79 | | GROUND_INST: instantiating (20) with all_25_3, all_25_4, all_25_2, 0,
% 41.72/6.79 | | all_36_2, simplifying with (34), (35), (36), (57), (67) gives:
% 41.72/6.79 | | (100) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 41.72/6.79 | | (unorthogonal_lines(all_25_3, all_25_2) = v2 &
% 41.72/6.79 | | unorthogonal_lines(all_25_3, all_25_4) = v1 &
% 41.72/6.79 | | unorthogonal_lines(all_25_4, all_25_2) = v3 &
% 41.72/6.79 | | convergent_lines(all_25_3, all_25_4) = v0 & ( ~ (v1 = 0) | ~ (v0
% 41.72/6.79 | | = 0) | v2 = 0 | (v3 = 0 & all_36_2 = 0)))
% 41.72/6.79 | |
% 41.72/6.79 | | GROUND_INST: instantiating (22) with all_25_3, all_25_3, all_25_2, 0,
% 41.72/6.79 | | all_25_0, simplifying with (35), (36), (39), (67) gives:
% 41.72/6.80 | | (101) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 41.72/6.80 | | (unorthogonal_lines(all_25_3, all_25_2) = v2 &
% 41.72/6.80 | | unorthogonal_lines(all_25_3, all_25_3) = v1 &
% 41.72/6.80 | | convergent_lines(all_25_3, all_25_2) = v3 &
% 41.72/6.80 | | convergent_lines(all_25_3, all_25_3) = v0 & ( ~ (v1 = 0) | ~ (v0
% 41.72/6.80 | | = 0) | v2 = 0 | (v3 = 0 & all_25_0 = 0)))
% 41.72/6.80 | |
% 41.72/6.80 | | GROUND_INST: instantiating (21) with all_25_3, all_25_3, all_25_2, all_25_0,
% 41.72/6.80 | | 0, simplifying with (35), (36), (39), (67) gives:
% 41.72/6.80 | | (102) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 41.72/6.80 | | (unorthogonal_lines(all_25_3, all_25_2) = v3 &
% 41.72/6.80 | | unorthogonal_lines(all_25_3, all_25_3) = v1 &
% 41.72/6.80 | | convergent_lines(all_25_3, all_25_2) = v2 &
% 41.72/6.80 | | convergent_lines(all_25_3, all_25_3) = v0 & ( ~ (v1 = 0) | ~ (v0
% 41.72/6.80 | | = 0) | v3 = 0 | (v2 = 0 & all_25_0 = 0)))
% 41.72/6.80 | |
% 41.72/6.80 | | GROUND_INST: instantiating (16) with all_25_4, all_25_3, all_25_2, 0,
% 41.72/6.80 | | simplifying with (34), (35), (36), (38), (67) gives:
% 42.05/6.80 | | (103) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 42.05/6.80 | | (unorthogonal_lines(all_25_3, all_25_2) = v3 &
% 42.05/6.80 | | unorthogonal_lines(all_25_4, all_25_2) = v2 &
% 42.05/6.80 | | convergent_lines(all_25_4, all_25_2) = v1 &
% 42.05/6.80 | | convergent_lines(all_25_4, all_25_3) = v0 & ( ~ (v0 = 0) | v3 = 0
% 42.05/6.80 | | | (v2 = 0 & v1 = 0)))
% 42.05/6.80 | |
% 42.05/6.80 | | GROUND_INST: instantiating (13) with all_25_3, all_25_2, all_25_3, all_32_1,
% 42.05/6.80 | | simplifying with (35), (36), (48), (67) gives:
% 42.05/6.80 | | (104) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 42.05/6.80 | | (unorthogonal_lines(all_25_2, all_25_3) = v3 &
% 42.05/6.80 | | unorthogonal_lines(all_25_3, all_25_2) = v0 &
% 42.05/6.80 | | unorthogonal_lines(all_25_3, all_25_3) = v1 &
% 42.05/6.80 | | convergent_lines(all_25_2, all_25_3) = v2 & ( ~ (v0 = 0) | (v3 =
% 42.05/6.80 | | 0 & v2 = 0) | (v1 = 0 & all_32_1 = 0)))
% 42.05/6.80 | |
% 42.05/6.80 | | GROUND_INST: instantiating (17) with all_25_3, all_25_2, all_25_2, all_25_0,
% 42.05/6.80 | | simplifying with (35), (36), (39), (67) gives:
% 42.05/6.80 | | (105) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 42.05/6.80 | | (unorthogonal_lines(all_25_2, all_25_2) = v3 &
% 42.05/6.80 | | unorthogonal_lines(all_25_3, all_25_2) = v0 &
% 42.05/6.80 | | convergent_lines(all_25_2, all_25_2) = v2 &
% 42.05/6.80 | | convergent_lines(all_25_3, all_25_2) = v1 & ( ~ (v0 = 0) | (v3 =
% 42.05/6.80 | | 0 & v2 = 0) | (v1 = 0 & all_25_0 = 0)))
% 42.05/6.80 | |
% 42.05/6.80 | | GROUND_INST: instantiating (5) with all_25_3, all_25_2, simplifying with
% 42.05/6.80 | | (35), (36), (67) gives:
% 42.05/6.80 | | (106) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) &
% 42.05/6.80 | | intersection_point(all_25_3, all_25_2) = v0 &
% 42.05/6.80 | | apart_point_and_line(v0, all_25_2) = v1 & $i(v0))
% 42.05/6.80 | |
% 42.05/6.80 | | GROUND_INST: instantiating (4) with all_25_3, all_25_2, simplifying with
% 42.05/6.80 | | (35), (36), (67) gives:
% 42.05/6.80 | | (107) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) &
% 42.05/6.80 | | intersection_point(all_25_3, all_25_2) = v0 &
% 42.05/6.80 | | apart_point_and_line(v0, all_25_3) = v1 & $i(v0))
% 42.05/6.80 | |
% 42.05/6.80 | | GROUND_INST: instantiating (18) with all_25_4, all_25_3, all_25_4, all_34_2,
% 42.05/6.80 | | simplifying with (34), (35), (38), (54) gives:
% 42.05/6.80 | | (108) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 42.05/6.80 | | (unorthogonal_lines(all_25_3, all_25_4) = v3 &
% 42.05/6.80 | | convergent_lines(all_25_3, all_25_4) = v2 &
% 42.05/6.80 | | convergent_lines(all_25_4, all_25_3) = v0 &
% 42.05/6.80 | | convergent_lines(all_25_4, all_25_4) = v1 & ( ~ (v0 = 0) | (v3 =
% 42.05/6.80 | | 0 & v2 = 0) | (v1 = 0 & all_34_2 = 0)))
% 42.05/6.80 | |
% 42.05/6.80 | | GROUND_INST: instantiating (12) with all_25_4, all_25_4, all_34_2,
% 42.05/6.80 | | simplifying with (34), (54) gives:
% 42.05/6.80 | | (109) all_34_2 = 0 | convergent_lines(all_25_4, all_25_4) = 0
% 42.05/6.80 | |
% 42.05/6.80 | | GROUND_INST: instantiating (23) with all_25_3, all_25_4, all_25_2, all_25_0,
% 42.05/6.80 | | all_36_1, simplifying with (34), (35), (36), (39), (59) gives:
% 42.05/6.80 | | (110) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 42.05/6.80 | | (unorthogonal_lines(all_25_3, all_25_4) = v1 &
% 42.05/6.80 | | convergent_lines(all_25_3, all_25_2) = v2 &
% 42.05/6.80 | | convergent_lines(all_25_3, all_25_4) = v0 &
% 42.05/6.80 | | convergent_lines(all_25_4, all_25_2) = v3 & ( ~ (v1 = 0) | ~ (v0
% 42.05/6.80 | | = 0) | (v3 = 0 & all_36_1 = 0) | (v2 = 0 & all_25_0 = 0)))
% 42.05/6.80 | |
% 42.05/6.80 | | GROUND_INST: instantiating (23) with all_25_4, all_25_3, all_25_2, all_36_1,
% 42.05/6.80 | | all_25_0, simplifying with (34), (35), (36), (39), (59) gives:
% 42.05/6.80 | | (111) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 42.05/6.80 | | (unorthogonal_lines(all_25_4, all_25_3) = v1 &
% 42.05/6.80 | | convergent_lines(all_25_3, all_25_2) = v3 &
% 42.05/6.80 | | convergent_lines(all_25_4, all_25_2) = v2 &
% 42.05/6.80 | | convergent_lines(all_25_4, all_25_3) = v0 & ( ~ (v1 = 0) | ~ (v0
% 42.05/6.80 | | = 0) | (v3 = 0 & all_25_0 = 0) | (v2 = 0 & all_36_1 = 0)))
% 42.05/6.80 | |
% 42.05/6.81 | | GROUND_INST: instantiating (18) with all_25_4, all_25_3, all_25_2, all_36_1,
% 42.05/6.81 | | simplifying with (34), (35), (36), (38), (59) gives:
% 42.05/6.81 | | (112) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 42.05/6.81 | | (unorthogonal_lines(all_25_3, all_25_2) = v3 &
% 42.05/6.81 | | convergent_lines(all_25_3, all_25_2) = v2 &
% 42.05/6.81 | | convergent_lines(all_25_4, all_25_2) = v1 &
% 42.05/6.81 | | convergent_lines(all_25_4, all_25_3) = v0 & ( ~ (v0 = 0) | (v3 =
% 42.05/6.81 | | 0 & v2 = 0) | (v1 = 0 & all_36_1 = 0)))
% 42.05/6.81 | |
% 42.05/6.81 | | GROUND_INST: instantiating (23) with all_25_4, all_25_4, all_25_2, all_36_1,
% 42.05/6.81 | | all_36_1, simplifying with (34), (36), (59) gives:
% 42.05/6.81 | | (113) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 42.05/6.81 | | (unorthogonal_lines(all_25_4, all_25_4) = v1 &
% 42.05/6.81 | | convergent_lines(all_25_4, all_25_2) = v3 &
% 42.05/6.81 | | convergent_lines(all_25_4, all_25_2) = v2 &
% 42.05/6.81 | | convergent_lines(all_25_4, all_25_4) = v0 & ( ~ (v1 = 0) | ~ (v0
% 42.05/6.81 | | = 0) | (v3 = 0 & all_36_1 = 0) | (v2 = 0 & all_36_1 = 0)))
% 42.05/6.81 | |
% 42.05/6.81 | | GROUND_INST: instantiating (22) with all_25_3, all_25_4, all_25_2, 0,
% 42.05/6.81 | | all_36_1, simplifying with (34), (35), (36), (59), (67) gives:
% 42.05/6.81 | | (114) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 42.05/6.81 | | (unorthogonal_lines(all_25_3, all_25_2) = v2 &
% 42.05/6.81 | | unorthogonal_lines(all_25_3, all_25_4) = v1 &
% 42.05/6.81 | | convergent_lines(all_25_3, all_25_4) = v0 &
% 42.05/6.81 | | convergent_lines(all_25_4, all_25_2) = v3 & ( ~ (v1 = 0) | ~ (v0
% 42.05/6.81 | | = 0) | v2 = 0 | (v3 = 0 & all_36_1 = 0)))
% 42.05/6.81 | |
% 42.05/6.81 | | GROUND_INST: instantiating (21) with all_25_4, all_25_3, all_25_2, all_36_1,
% 42.05/6.81 | | 0, simplifying with (34), (35), (36), (59), (67) gives:
% 42.05/6.81 | | (115) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 42.05/6.81 | | (unorthogonal_lines(all_25_3, all_25_2) = v3 &
% 42.05/6.81 | | unorthogonal_lines(all_25_4, all_25_3) = v1 &
% 42.05/6.81 | | convergent_lines(all_25_4, all_25_2) = v2 &
% 42.05/6.81 | | convergent_lines(all_25_4, all_25_3) = v0 & ( ~ (v1 = 0) | ~ (v0
% 42.05/6.81 | | = 0) | v3 = 0 | (v2 = 0 & all_36_1 = 0)))
% 42.05/6.81 | |
% 42.05/6.81 | | GROUND_INST: instantiating (22) with all_25_4, all_25_4, all_25_2, all_36_2,
% 42.05/6.81 | | all_36_1, simplifying with (34), (36), (57), (59) gives:
% 42.05/6.81 | | (116) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 42.05/6.81 | | (unorthogonal_lines(all_25_4, all_25_2) = v2 &
% 42.05/6.81 | | unorthogonal_lines(all_25_4, all_25_4) = v1 &
% 42.05/6.81 | | convergent_lines(all_25_4, all_25_2) = v3 &
% 42.05/6.81 | | convergent_lines(all_25_4, all_25_4) = v0 & ( ~ (v1 = 0) | ~ (v0
% 42.05/6.81 | | = 0) | (v3 = 0 & all_36_1 = 0) | (v2 = 0 & all_36_2 = 0)))
% 42.05/6.81 | |
% 42.05/6.81 | | GROUND_INST: instantiating (21) with all_25_4, all_25_4, all_25_2, all_36_1,
% 42.05/6.81 | | all_36_2, simplifying with (34), (36), (57), (59) gives:
% 42.05/6.81 | | (117) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 42.05/6.81 | | (unorthogonal_lines(all_25_4, all_25_2) = v3 &
% 42.05/6.81 | | unorthogonal_lines(all_25_4, all_25_4) = v1 &
% 42.05/6.81 | | convergent_lines(all_25_4, all_25_2) = v2 &
% 42.05/6.81 | | convergent_lines(all_25_4, all_25_4) = v0 & ( ~ (v1 = 0) | ~ (v0
% 42.05/6.81 | | = 0) | (v3 = 0 & all_36_2 = 0) | (v2 = 0 & all_36_1 = 0)))
% 42.05/6.81 | |
% 42.05/6.81 | | GROUND_INST: instantiating (23) with all_25_3, all_25_4, all_25_3, all_32_0,
% 42.05/6.81 | | 0, simplifying with (34), (35), (38), (49) gives:
% 42.05/6.81 | | (118) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 42.05/6.81 | | (unorthogonal_lines(all_25_3, all_25_4) = v1 &
% 42.05/6.81 | | convergent_lines(all_25_3, all_25_3) = v2 &
% 42.05/6.81 | | convergent_lines(all_25_3, all_25_4) = v0 &
% 42.05/6.81 | | convergent_lines(all_25_4, all_25_3) = v3 & ( ~ (v1 = 0) | ~ (v0
% 42.05/6.81 | | = 0) | v3 = 0 | (v2 = 0 & all_32_0 = 0)))
% 42.05/6.81 | |
% 42.05/6.81 | | GROUND_INST: instantiating (17) with all_25_3, all_25_2, all_25_3, all_32_0,
% 42.05/6.81 | | simplifying with (35), (36), (49), (67) gives:
% 42.05/6.81 | | (119) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 42.05/6.81 | | (unorthogonal_lines(all_25_2, all_25_3) = v3 &
% 42.05/6.81 | | unorthogonal_lines(all_25_3, all_25_2) = v0 &
% 42.05/6.81 | | convergent_lines(all_25_2, all_25_3) = v2 &
% 42.05/6.81 | | convergent_lines(all_25_3, all_25_3) = v1 & ( ~ (v0 = 0) | (v3 =
% 42.05/6.81 | | 0 & v2 = 0) | (v1 = 0 & all_32_0 = 0)))
% 42.05/6.81 | |
% 42.05/6.81 | | GROUND_INST: instantiating (21) with all_25_3, all_25_4, all_25_3, all_32_0,
% 42.05/6.81 | | all_32_3, simplifying with (34), (35), (46), (49) gives:
% 42.05/6.81 | | (120) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 42.05/6.81 | | (unorthogonal_lines(all_25_3, all_25_4) = v1 &
% 42.05/6.81 | | unorthogonal_lines(all_25_4, all_25_3) = v3 &
% 42.05/6.81 | | convergent_lines(all_25_3, all_25_3) = v2 &
% 42.05/6.81 | | convergent_lines(all_25_3, all_25_4) = v0 & ( ~ (v1 = 0) | ~ (v0
% 42.05/6.81 | | = 0) | (v3 = 0 & all_32_3 = 0) | (v2 = 0 & all_32_0 = 0)))
% 42.05/6.81 | |
% 42.05/6.81 | | GROUND_INST: instantiating (12) with all_25_3, all_25_3, all_32_0,
% 42.05/6.81 | | simplifying with (35), (49) gives:
% 42.05/6.81 | | (121) all_32_0 = 0 | convergent_lines(all_25_3, all_25_3) = 0
% 42.05/6.81 | |
% 42.05/6.81 | | DELTA: instantiating (107) with fresh symbols all_58_0, all_58_1 gives:
% 42.05/6.81 | | (122) ~ (all_58_0 = 0) & intersection_point(all_25_3, all_25_2) =
% 42.05/6.81 | | all_58_1 & apart_point_and_line(all_58_1, all_25_3) = all_58_0 &
% 42.05/6.81 | | $i(all_58_1)
% 42.05/6.81 | |
% 42.05/6.81 | | ALPHA: (122) implies:
% 42.05/6.81 | | (123) ~ (all_58_0 = 0)
% 42.05/6.81 | | (124) apart_point_and_line(all_58_1, all_25_3) = all_58_0
% 42.05/6.81 | | (125) intersection_point(all_25_3, all_25_2) = all_58_1
% 42.05/6.81 | |
% 42.05/6.81 | | DELTA: instantiating (106) with fresh symbols all_60_0, all_60_1 gives:
% 42.05/6.81 | | (126) ~ (all_60_0 = 0) & intersection_point(all_25_3, all_25_2) =
% 42.05/6.81 | | all_60_1 & apart_point_and_line(all_60_1, all_25_2) = all_60_0 &
% 42.05/6.81 | | $i(all_60_1)
% 42.05/6.81 | |
% 42.05/6.81 | | ALPHA: (126) implies:
% 42.05/6.81 | | (127) ~ (all_60_0 = 0)
% 42.05/6.81 | | (128) $i(all_60_1)
% 42.05/6.81 | | (129) apart_point_and_line(all_60_1, all_25_2) = all_60_0
% 42.05/6.81 | | (130) intersection_point(all_25_3, all_25_2) = all_60_1
% 42.05/6.81 | |
% 42.05/6.81 | | DELTA: instantiating (103) with fresh symbols all_62_0, all_62_1, all_62_2,
% 42.05/6.81 | | all_62_3 gives:
% 42.05/6.82 | | (131) unorthogonal_lines(all_25_3, all_25_2) = all_62_0 &
% 42.05/6.82 | | unorthogonal_lines(all_25_4, all_25_2) = all_62_1 &
% 42.05/6.82 | | convergent_lines(all_25_4, all_25_2) = all_62_2 &
% 42.05/6.82 | | convergent_lines(all_25_4, all_25_3) = all_62_3 & ( ~ (all_62_3 =
% 42.05/6.82 | | 0) | all_62_0 = 0 | (all_62_1 = 0 & all_62_2 = 0))
% 42.05/6.82 | |
% 42.05/6.82 | | ALPHA: (131) implies:
% 42.05/6.82 | | (132) convergent_lines(all_25_4, all_25_3) = all_62_3
% 42.05/6.82 | | (133) convergent_lines(all_25_4, all_25_2) = all_62_2
% 42.05/6.82 | | (134) unorthogonal_lines(all_25_4, all_25_2) = all_62_1
% 42.05/6.82 | | (135) unorthogonal_lines(all_25_3, all_25_2) = all_62_0
% 42.05/6.82 | |
% 42.05/6.82 | | DELTA: instantiating (98) with fresh symbols all_64_0, all_64_1, all_64_2,
% 42.05/6.82 | | all_64_3 gives:
% 42.05/6.82 | | (136) unorthogonal_lines(all_25_3, all_25_2) = all_64_0 &
% 42.05/6.82 | | unorthogonal_lines(all_25_3, all_25_2) = all_64_1 &
% 42.05/6.82 | | unorthogonal_lines(all_25_3, all_25_3) = all_64_2 &
% 42.05/6.82 | | convergent_lines(all_25_3, all_25_3) = all_64_3 & ( ~ (all_64_2 =
% 42.05/6.82 | | 0) | ~ (all_64_3 = 0) | all_64_0 = 0 | all_64_1 = 0)
% 42.05/6.82 | |
% 42.05/6.82 | | ALPHA: (136) implies:
% 42.05/6.82 | | (137) convergent_lines(all_25_3, all_25_3) = all_64_3
% 42.05/6.82 | | (138) unorthogonal_lines(all_25_3, all_25_3) = all_64_2
% 42.05/6.82 | | (139) unorthogonal_lines(all_25_3, all_25_2) = all_64_1
% 42.05/6.82 | | (140) unorthogonal_lines(all_25_3, all_25_2) = all_64_0
% 42.05/6.82 | | (141) ~ (all_64_2 = 0) | ~ (all_64_3 = 0) | all_64_0 = 0 | all_64_1 = 0
% 42.05/6.82 | |
% 42.05/6.82 | | DELTA: instantiating (97) with fresh symbols all_66_0, all_66_1, all_66_2,
% 42.05/6.82 | | all_66_3 gives:
% 42.05/6.82 | | (142) unorthogonal_lines(all_25_2, all_25_2) = all_66_0 &
% 42.05/6.82 | | unorthogonal_lines(all_25_3, all_25_2) = all_66_2 &
% 42.05/6.82 | | unorthogonal_lines(all_25_3, all_25_2) = all_66_3 &
% 42.05/6.82 | | convergent_lines(all_25_2, all_25_2) = all_66_1 & ( ~ (all_66_3 =
% 42.05/6.82 | | 0) | all_66_2 = 0 | (all_66_0 = 0 & all_66_1 = 0))
% 42.05/6.82 | |
% 42.05/6.82 | | ALPHA: (142) implies:
% 42.05/6.82 | | (143) unorthogonal_lines(all_25_3, all_25_2) = all_66_3
% 42.05/6.82 | | (144) unorthogonal_lines(all_25_3, all_25_2) = all_66_2
% 42.05/6.82 | |
% 42.05/6.82 | | DELTA: instantiating (112) with fresh symbols all_68_0, all_68_1, all_68_2,
% 42.05/6.82 | | all_68_3 gives:
% 42.05/6.82 | | (145) unorthogonal_lines(all_25_3, all_25_2) = all_68_0 &
% 42.05/6.82 | | convergent_lines(all_25_3, all_25_2) = all_68_1 &
% 42.05/6.82 | | convergent_lines(all_25_4, all_25_2) = all_68_2 &
% 42.05/6.82 | | convergent_lines(all_25_4, all_25_3) = all_68_3 & ( ~ (all_68_3 =
% 42.05/6.82 | | 0) | (all_68_0 = 0 & all_68_1 = 0) | (all_68_2 = 0 & all_36_1 =
% 42.05/6.82 | | 0))
% 42.05/6.82 | |
% 42.05/6.82 | | ALPHA: (145) implies:
% 42.05/6.82 | | (146) convergent_lines(all_25_4, all_25_3) = all_68_3
% 42.05/6.82 | | (147) convergent_lines(all_25_4, all_25_2) = all_68_2
% 42.05/6.82 | | (148) convergent_lines(all_25_3, all_25_2) = all_68_1
% 42.05/6.82 | | (149) unorthogonal_lines(all_25_3, all_25_2) = all_68_0
% 42.05/6.82 | |
% 42.05/6.82 | | DELTA: instantiating (119) with fresh symbols all_70_0, all_70_1, all_70_2,
% 42.05/6.82 | | all_70_3 gives:
% 42.05/6.82 | | (150) unorthogonal_lines(all_25_2, all_25_3) = all_70_0 &
% 42.05/6.82 | | unorthogonal_lines(all_25_3, all_25_2) = all_70_3 &
% 42.05/6.82 | | convergent_lines(all_25_2, all_25_3) = all_70_1 &
% 42.05/6.82 | | convergent_lines(all_25_3, all_25_3) = all_70_2 & ( ~ (all_70_3 =
% 42.05/6.82 | | 0) | (all_70_0 = 0 & all_70_1 = 0) | (all_70_2 = 0 & all_32_0 =
% 42.05/6.82 | | 0))
% 42.05/6.82 | |
% 42.05/6.82 | | ALPHA: (150) implies:
% 42.05/6.82 | | (151) convergent_lines(all_25_3, all_25_3) = all_70_2
% 42.05/6.82 | | (152) unorthogonal_lines(all_25_3, all_25_2) = all_70_3
% 42.05/6.82 | |
% 42.05/6.82 | | DELTA: instantiating (115) with fresh symbols all_72_0, all_72_1, all_72_2,
% 42.05/6.82 | | all_72_3 gives:
% 42.05/6.82 | | (153) unorthogonal_lines(all_25_3, all_25_2) = all_72_0 &
% 42.05/6.82 | | unorthogonal_lines(all_25_4, all_25_3) = all_72_2 &
% 42.05/6.82 | | convergent_lines(all_25_4, all_25_2) = all_72_1 &
% 42.05/6.82 | | convergent_lines(all_25_4, all_25_3) = all_72_3 & ( ~ (all_72_2 =
% 42.05/6.82 | | 0) | ~ (all_72_3 = 0) | all_72_0 = 0 | (all_72_1 = 0 &
% 42.05/6.82 | | all_36_1 = 0))
% 42.05/6.82 | |
% 42.05/6.82 | | ALPHA: (153) implies:
% 42.05/6.82 | | (154) convergent_lines(all_25_4, all_25_3) = all_72_3
% 42.05/6.82 | | (155) convergent_lines(all_25_4, all_25_2) = all_72_1
% 42.05/6.82 | | (156) unorthogonal_lines(all_25_4, all_25_3) = all_72_2
% 42.05/6.82 | | (157) unorthogonal_lines(all_25_3, all_25_2) = all_72_0
% 42.05/6.82 | |
% 42.05/6.82 | | DELTA: instantiating (114) with fresh symbols all_74_0, all_74_1, all_74_2,
% 42.05/6.82 | | all_74_3 gives:
% 42.05/6.82 | | (158) unorthogonal_lines(all_25_3, all_25_2) = all_74_1 &
% 42.05/6.82 | | unorthogonal_lines(all_25_3, all_25_4) = all_74_2 &
% 42.05/6.82 | | convergent_lines(all_25_3, all_25_4) = all_74_3 &
% 42.05/6.82 | | convergent_lines(all_25_4, all_25_2) = all_74_0 & ( ~ (all_74_2 =
% 42.05/6.82 | | 0) | ~ (all_74_3 = 0) | all_74_1 = 0 | (all_74_0 = 0 &
% 42.05/6.82 | | all_36_1 = 0))
% 42.05/6.82 | |
% 42.05/6.82 | | ALPHA: (158) implies:
% 42.05/6.82 | | (159) convergent_lines(all_25_4, all_25_2) = all_74_0
% 42.05/6.82 | | (160) convergent_lines(all_25_3, all_25_4) = all_74_3
% 42.05/6.82 | | (161) unorthogonal_lines(all_25_3, all_25_4) = all_74_2
% 42.05/6.82 | | (162) unorthogonal_lines(all_25_3, all_25_2) = all_74_1
% 42.05/6.82 | |
% 42.05/6.82 | | DELTA: instantiating (118) with fresh symbols all_76_0, all_76_1, all_76_2,
% 42.05/6.82 | | all_76_3 gives:
% 42.05/6.82 | | (163) unorthogonal_lines(all_25_3, all_25_4) = all_76_2 &
% 42.05/6.82 | | convergent_lines(all_25_3, all_25_3) = all_76_1 &
% 42.05/6.82 | | convergent_lines(all_25_3, all_25_4) = all_76_3 &
% 42.05/6.82 | | convergent_lines(all_25_4, all_25_3) = all_76_0 & ( ~ (all_76_2 =
% 42.05/6.82 | | 0) | ~ (all_76_3 = 0) | all_76_0 = 0 | (all_76_1 = 0 &
% 42.05/6.82 | | all_32_0 = 0))
% 42.05/6.82 | |
% 42.05/6.82 | | ALPHA: (163) implies:
% 42.05/6.82 | | (164) convergent_lines(all_25_4, all_25_3) = all_76_0
% 42.05/6.82 | | (165) convergent_lines(all_25_3, all_25_4) = all_76_3
% 42.05/6.82 | | (166) convergent_lines(all_25_3, all_25_3) = all_76_1
% 42.05/6.82 | | (167) unorthogonal_lines(all_25_3, all_25_4) = all_76_2
% 42.05/6.82 | |
% 42.05/6.82 | | DELTA: instantiating (108) with fresh symbols all_78_0, all_78_1, all_78_2,
% 42.05/6.82 | | all_78_3 gives:
% 42.05/6.82 | | (168) unorthogonal_lines(all_25_3, all_25_4) = all_78_0 &
% 42.05/6.82 | | convergent_lines(all_25_3, all_25_4) = all_78_1 &
% 42.05/6.82 | | convergent_lines(all_25_4, all_25_3) = all_78_3 &
% 42.05/6.82 | | convergent_lines(all_25_4, all_25_4) = all_78_2 & ( ~ (all_78_3 =
% 42.05/6.82 | | 0) | (all_78_0 = 0 & all_78_1 = 0) | (all_78_2 = 0 & all_34_2 =
% 42.05/6.82 | | 0))
% 42.05/6.82 | |
% 42.05/6.82 | | ALPHA: (168) implies:
% 42.05/6.82 | | (169) convergent_lines(all_25_4, all_25_4) = all_78_2
% 42.05/6.82 | | (170) convergent_lines(all_25_4, all_25_3) = all_78_3
% 42.05/6.82 | | (171) convergent_lines(all_25_3, all_25_4) = all_78_1
% 42.05/6.82 | | (172) unorthogonal_lines(all_25_3, all_25_4) = all_78_0
% 42.05/6.82 | |
% 42.05/6.82 | | DELTA: instantiating (105) with fresh symbols all_80_0, all_80_1, all_80_2,
% 42.05/6.82 | | all_80_3 gives:
% 42.05/6.82 | | (173) unorthogonal_lines(all_25_2, all_25_2) = all_80_0 &
% 42.05/6.82 | | unorthogonal_lines(all_25_3, all_25_2) = all_80_3 &
% 42.05/6.82 | | convergent_lines(all_25_2, all_25_2) = all_80_1 &
% 42.05/6.82 | | convergent_lines(all_25_3, all_25_2) = all_80_2 & ( ~ (all_80_3 =
% 42.05/6.82 | | 0) | (all_80_0 = 0 & all_80_1 = 0) | (all_80_2 = 0 & all_25_0 =
% 42.05/6.82 | | 0))
% 42.05/6.82 | |
% 42.05/6.82 | | ALPHA: (173) implies:
% 42.05/6.82 | | (174) convergent_lines(all_25_3, all_25_2) = all_80_2
% 42.05/6.82 | | (175) unorthogonal_lines(all_25_3, all_25_2) = all_80_3
% 42.05/6.82 | |
% 42.05/6.82 | | DELTA: instantiating (93) with fresh symbols all_82_0, all_82_1, all_82_2,
% 42.05/6.82 | | all_82_3 gives:
% 42.05/6.83 | | (176) unorthogonal_lines(all_25_3, all_25_2) = all_82_0 &
% 42.05/6.83 | | unorthogonal_lines(all_25_4, all_25_2) = all_82_2 &
% 42.05/6.83 | | convergent_lines(all_25_3, all_25_2) = all_82_1 &
% 42.05/6.83 | | convergent_lines(all_25_4, all_25_3) = all_82_3 & ( ~ (all_82_3 =
% 42.05/6.83 | | 0) | (all_82_0 = 0 & all_82_1 = 0) | (all_82_2 = 0 & all_36_2 =
% 42.05/6.83 | | 0))
% 42.05/6.83 | |
% 42.05/6.83 | | ALPHA: (176) implies:
% 42.05/6.83 | | (177) convergent_lines(all_25_4, all_25_3) = all_82_3
% 42.05/6.83 | | (178) convergent_lines(all_25_3, all_25_2) = all_82_1
% 42.05/6.83 | | (179) unorthogonal_lines(all_25_4, all_25_2) = all_82_2
% 42.05/6.83 | | (180) unorthogonal_lines(all_25_3, all_25_2) = all_82_0
% 42.05/6.83 | | (181) ~ (all_82_3 = 0) | (all_82_0 = 0 & all_82_1 = 0) | (all_82_2 = 0 &
% 42.05/6.83 | | all_36_2 = 0)
% 42.05/6.83 | |
% 42.05/6.83 | | DELTA: instantiating (89) with fresh symbols all_84_0, all_84_1, all_84_2,
% 42.05/6.83 | | all_84_3 gives:
% 42.05/6.83 | | (182) unorthogonal_lines(all_25_4, all_25_3) = all_84_0 &
% 42.05/6.83 | | unorthogonal_lines(all_25_4, all_25_4) = all_84_2 &
% 42.05/6.83 | | convergent_lines(all_25_4, all_25_3) = all_84_1 &
% 42.05/6.83 | | convergent_lines(all_25_4, all_25_4) = all_84_3 & ( ~ (all_84_2 =
% 42.05/6.83 | | 0) | ~ (all_84_3 = 0) | all_84_1 = 0 | (all_84_0 = 0 &
% 42.05/6.83 | | all_32_3 = 0))
% 42.05/6.83 | |
% 42.05/6.83 | | ALPHA: (182) implies:
% 42.05/6.83 | | (183) convergent_lines(all_25_4, all_25_4) = all_84_3
% 42.05/6.83 | | (184) convergent_lines(all_25_4, all_25_3) = all_84_1
% 42.05/6.83 | | (185) unorthogonal_lines(all_25_4, all_25_4) = all_84_2
% 42.05/6.83 | | (186) unorthogonal_lines(all_25_4, all_25_3) = all_84_0
% 42.05/6.83 | |
% 42.05/6.83 | | DELTA: instantiating (88) with fresh symbols all_86_0, all_86_1, all_86_2,
% 42.05/6.83 | | all_86_3 gives:
% 42.05/6.83 | | (187) unorthogonal_lines(all_25_4, all_25_3) = all_86_1 &
% 42.05/6.83 | | unorthogonal_lines(all_25_4, all_25_4) = all_86_2 &
% 42.05/6.83 | | convergent_lines(all_25_4, all_25_3) = all_86_0 &
% 42.05/6.83 | | convergent_lines(all_25_4, all_25_4) = all_86_3 & ( ~ (all_86_2 =
% 42.05/6.83 | | 0) | ~ (all_86_3 = 0) | all_86_0 = 0 | (all_86_1 = 0 &
% 42.05/6.83 | | all_32_3 = 0))
% 42.05/6.83 | |
% 42.05/6.83 | | ALPHA: (187) implies:
% 42.05/6.83 | | (188) convergent_lines(all_25_4, all_25_4) = all_86_3
% 42.05/6.83 | | (189) convergent_lines(all_25_4, all_25_3) = all_86_0
% 42.05/6.83 | | (190) unorthogonal_lines(all_25_4, all_25_4) = all_86_2
% 42.05/6.83 | | (191) unorthogonal_lines(all_25_4, all_25_3) = all_86_1
% 42.05/6.83 | |
% 42.05/6.83 | | DELTA: instantiating (86) with fresh symbols all_88_0, all_88_1, all_88_2,
% 42.05/6.83 | | all_88_3 gives:
% 42.05/6.83 | | (192) unorthogonal_lines(all_25_3, all_25_4) = all_88_0 &
% 42.05/6.83 | | unorthogonal_lines(all_25_4, all_25_4) = all_88_2 &
% 42.05/6.83 | | convergent_lines(all_25_3, all_25_4) = all_88_1 &
% 42.05/6.83 | | convergent_lines(all_25_4, all_25_3) = all_88_3 & ( ~ (all_88_3 =
% 42.05/6.83 | | 0) | (all_88_0 = 0 & all_88_1 = 0) | (all_88_2 = 0 & all_34_3 =
% 42.05/6.83 | | 0))
% 42.05/6.83 | |
% 42.05/6.83 | | ALPHA: (192) implies:
% 42.05/6.83 | | (193) convergent_lines(all_25_4, all_25_3) = all_88_3
% 42.05/6.83 | | (194) convergent_lines(all_25_3, all_25_4) = all_88_1
% 42.05/6.83 | | (195) unorthogonal_lines(all_25_4, all_25_4) = all_88_2
% 42.05/6.83 | | (196) unorthogonal_lines(all_25_3, all_25_4) = all_88_0
% 42.05/6.83 | |
% 42.05/6.83 | | DELTA: instantiating (104) with fresh symbols all_90_0, all_90_1, all_90_2,
% 42.05/6.83 | | all_90_3 gives:
% 42.05/6.83 | | (197) unorthogonal_lines(all_25_2, all_25_3) = all_90_0 &
% 42.05/6.83 | | unorthogonal_lines(all_25_3, all_25_2) = all_90_3 &
% 42.05/6.83 | | unorthogonal_lines(all_25_3, all_25_3) = all_90_2 &
% 42.05/6.83 | | convergent_lines(all_25_2, all_25_3) = all_90_1 & ( ~ (all_90_3 =
% 42.05/6.83 | | 0) | (all_90_0 = 0 & all_90_1 = 0) | (all_90_2 = 0 & all_32_1 =
% 42.05/6.83 | | 0))
% 42.05/6.83 | |
% 42.05/6.83 | | ALPHA: (197) implies:
% 42.05/6.83 | | (198) unorthogonal_lines(all_25_3, all_25_3) = all_90_2
% 42.05/6.83 | | (199) unorthogonal_lines(all_25_3, all_25_2) = all_90_3
% 42.05/6.83 | |
% 42.05/6.83 | | DELTA: instantiating (102) with fresh symbols all_92_0, all_92_1, all_92_2,
% 42.05/6.83 | | all_92_3 gives:
% 42.05/6.83 | | (200) unorthogonal_lines(all_25_3, all_25_2) = all_92_0 &
% 42.05/6.83 | | unorthogonal_lines(all_25_3, all_25_3) = all_92_2 &
% 42.05/6.83 | | convergent_lines(all_25_3, all_25_2) = all_92_1 &
% 42.05/6.83 | | convergent_lines(all_25_3, all_25_3) = all_92_3 & ( ~ (all_92_2 =
% 42.05/6.83 | | 0) | ~ (all_92_3 = 0) | all_92_0 = 0 | (all_92_1 = 0 &
% 42.05/6.83 | | all_25_0 = 0))
% 42.05/6.83 | |
% 42.05/6.83 | | ALPHA: (200) implies:
% 42.05/6.83 | | (201) convergent_lines(all_25_3, all_25_3) = all_92_3
% 42.05/6.83 | | (202) convergent_lines(all_25_3, all_25_2) = all_92_1
% 42.05/6.83 | | (203) unorthogonal_lines(all_25_3, all_25_3) = all_92_2
% 42.05/6.83 | | (204) unorthogonal_lines(all_25_3, all_25_2) = all_92_0
% 42.05/6.83 | |
% 42.05/6.83 | | DELTA: instantiating (99) with fresh symbols all_94_0, all_94_1, all_94_2,
% 42.05/6.83 | | all_94_3 gives:
% 42.05/6.83 | | (205) unorthogonal_lines(all_25_3, all_25_2) = all_94_0 &
% 42.05/6.83 | | unorthogonal_lines(all_25_4, all_25_2) = all_94_1 &
% 42.05/6.83 | | unorthogonal_lines(all_25_4, all_25_3) = all_94_2 &
% 42.05/6.83 | | convergent_lines(all_25_4, all_25_3) = all_94_3 & ( ~ (all_94_2 =
% 42.05/6.83 | | 0) | ~ (all_94_3 = 0) | all_94_0 = 0 | (all_94_1 = 0 &
% 42.05/6.83 | | all_36_2 = 0))
% 42.05/6.83 | |
% 42.05/6.83 | | ALPHA: (205) implies:
% 42.05/6.83 | | (206) convergent_lines(all_25_4, all_25_3) = all_94_3
% 42.05/6.83 | | (207) unorthogonal_lines(all_25_4, all_25_3) = all_94_2
% 42.05/6.83 | | (208) unorthogonal_lines(all_25_4, all_25_2) = all_94_1
% 42.05/6.83 | | (209) unorthogonal_lines(all_25_3, all_25_2) = all_94_0
% 42.05/6.83 | |
% 42.05/6.83 | | DELTA: instantiating (101) with fresh symbols all_96_0, all_96_1, all_96_2,
% 42.05/6.83 | | all_96_3 gives:
% 42.05/6.83 | | (210) unorthogonal_lines(all_25_3, all_25_2) = all_96_1 &
% 42.05/6.83 | | unorthogonal_lines(all_25_3, all_25_3) = all_96_2 &
% 42.05/6.83 | | convergent_lines(all_25_3, all_25_2) = all_96_0 &
% 42.05/6.83 | | convergent_lines(all_25_3, all_25_3) = all_96_3 & ( ~ (all_96_2 =
% 42.05/6.83 | | 0) | ~ (all_96_3 = 0) | all_96_1 = 0 | (all_96_0 = 0 &
% 42.05/6.83 | | all_25_0 = 0))
% 42.05/6.83 | |
% 42.05/6.83 | | ALPHA: (210) implies:
% 42.05/6.83 | | (211) convergent_lines(all_25_3, all_25_3) = all_96_3
% 42.05/6.83 | | (212) convergent_lines(all_25_3, all_25_2) = all_96_0
% 42.05/6.83 | | (213) unorthogonal_lines(all_25_3, all_25_3) = all_96_2
% 42.05/6.83 | | (214) unorthogonal_lines(all_25_3, all_25_2) = all_96_1
% 42.05/6.83 | |
% 42.05/6.83 | | DELTA: instantiating (100) with fresh symbols all_98_0, all_98_1, all_98_2,
% 42.05/6.83 | | all_98_3 gives:
% 42.05/6.83 | | (215) unorthogonal_lines(all_25_3, all_25_2) = all_98_1 &
% 42.05/6.83 | | unorthogonal_lines(all_25_3, all_25_4) = all_98_2 &
% 42.05/6.83 | | unorthogonal_lines(all_25_4, all_25_2) = all_98_0 &
% 42.05/6.83 | | convergent_lines(all_25_3, all_25_4) = all_98_3 & ( ~ (all_98_2 =
% 42.05/6.83 | | 0) | ~ (all_98_3 = 0) | all_98_1 = 0 | (all_98_0 = 0 &
% 42.05/6.83 | | all_36_2 = 0))
% 42.05/6.83 | |
% 42.05/6.83 | | ALPHA: (215) implies:
% 42.05/6.83 | | (216) convergent_lines(all_25_3, all_25_4) = all_98_3
% 42.05/6.83 | | (217) unorthogonal_lines(all_25_4, all_25_2) = all_98_0
% 42.05/6.83 | | (218) unorthogonal_lines(all_25_3, all_25_4) = all_98_2
% 42.05/6.83 | | (219) unorthogonal_lines(all_25_3, all_25_2) = all_98_1
% 42.05/6.83 | |
% 42.05/6.83 | | DELTA: instantiating (96) with fresh symbols all_100_0, all_100_1,
% 42.05/6.83 | | all_100_2, all_100_3 gives:
% 42.05/6.83 | | (220) unorthogonal_lines(all_25_3, all_25_3) = all_100_1 &
% 42.05/6.83 | | unorthogonal_lines(all_25_3, all_25_4) = all_100_2 &
% 42.05/6.83 | | convergent_lines(all_25_3, all_25_4) = all_100_3 &
% 42.05/6.83 | | convergent_lines(all_25_4, all_25_3) = all_100_0 & ( ~ (all_100_2 =
% 42.05/6.83 | | 0) | ~ (all_100_3 = 0) | all_100_0 = 0 | (all_100_1 = 0 &
% 42.05/6.83 | | all_32_1 = 0))
% 42.05/6.83 | |
% 42.05/6.83 | | ALPHA: (220) implies:
% 42.05/6.83 | | (221) convergent_lines(all_25_4, all_25_3) = all_100_0
% 42.05/6.83 | | (222) convergent_lines(all_25_3, all_25_4) = all_100_3
% 42.05/6.83 | | (223) unorthogonal_lines(all_25_3, all_25_4) = all_100_2
% 42.05/6.83 | | (224) unorthogonal_lines(all_25_3, all_25_3) = all_100_1
% 42.05/6.83 | |
% 42.05/6.83 | | DELTA: instantiating (92) with fresh symbols all_102_0, all_102_1,
% 42.05/6.83 | | all_102_2, all_102_3 gives:
% 42.05/6.84 | | (225) unorthogonal_lines(all_25_3, all_25_4) = all_102_2 &
% 42.05/6.84 | | unorthogonal_lines(all_25_4, all_25_2) = all_102_0 &
% 42.05/6.84 | | convergent_lines(all_25_3, all_25_2) = all_102_1 &
% 42.05/6.84 | | convergent_lines(all_25_3, all_25_4) = all_102_3 & ( ~ (all_102_2 =
% 42.05/6.84 | | 0) | ~ (all_102_3 = 0) | (all_102_0 = 0 & all_36_2 = 0) |
% 42.05/6.84 | | (all_102_1 = 0 & all_25_0 = 0))
% 42.05/6.84 | |
% 42.05/6.84 | | ALPHA: (225) implies:
% 42.05/6.84 | | (226) convergent_lines(all_25_3, all_25_4) = all_102_3
% 42.05/6.84 | | (227) convergent_lines(all_25_3, all_25_2) = all_102_1
% 42.05/6.84 | | (228) unorthogonal_lines(all_25_4, all_25_2) = all_102_0
% 42.05/6.84 | | (229) unorthogonal_lines(all_25_3, all_25_4) = all_102_2
% 42.05/6.84 | |
% 42.05/6.84 | | DELTA: instantiating (90) with fresh symbols all_104_0, all_104_1,
% 42.05/6.84 | | all_104_2, all_104_3 gives:
% 42.05/6.84 | | (230) unorthogonal_lines(all_25_4, all_25_2) = all_104_0 &
% 42.05/6.84 | | unorthogonal_lines(all_25_4, all_25_2) = all_104_1 &
% 42.05/6.84 | | unorthogonal_lines(all_25_4, all_25_4) = all_104_2 &
% 42.05/6.84 | | convergent_lines(all_25_4, all_25_4) = all_104_3 & ( ~ (all_104_2 =
% 42.05/6.84 | | 0) | ~ (all_104_3 = 0) | (all_104_0 = 0 & all_36_2 = 0) |
% 42.05/6.84 | | (all_104_1 = 0 & all_36_2 = 0))
% 42.05/6.84 | |
% 42.05/6.84 | | ALPHA: (230) implies:
% 42.05/6.84 | | (231) convergent_lines(all_25_4, all_25_4) = all_104_3
% 42.05/6.84 | | (232) unorthogonal_lines(all_25_4, all_25_4) = all_104_2
% 42.05/6.84 | | (233) unorthogonal_lines(all_25_4, all_25_2) = all_104_1
% 42.05/6.84 | | (234) unorthogonal_lines(all_25_4, all_25_2) = all_104_0
% 42.05/6.84 | |
% 42.05/6.84 | | DELTA: instantiating (95) with fresh symbols all_106_0, all_106_1,
% 42.05/6.84 | | all_106_2, all_106_3 gives:
% 42.05/6.84 | | (235) unorthogonal_lines(all_25_3, all_25_3) = all_106_1 &
% 42.05/6.84 | | unorthogonal_lines(all_25_3, all_25_4) = all_106_2 &
% 42.05/6.84 | | unorthogonal_lines(all_25_4, all_25_3) = all_106_0 &
% 42.05/6.84 | | convergent_lines(all_25_3, all_25_4) = all_106_3 & ( ~ (all_106_2 =
% 42.05/6.84 | | 0) | ~ (all_106_3 = 0) | (all_106_0 = 0 & all_32_3 = 0) |
% 42.05/6.84 | | (all_106_1 = 0 & all_32_1 = 0))
% 42.05/6.84 | |
% 42.05/6.84 | | ALPHA: (235) implies:
% 42.05/6.84 | | (236) convergent_lines(all_25_3, all_25_4) = all_106_3
% 42.05/6.84 | | (237) unorthogonal_lines(all_25_4, all_25_3) = all_106_0
% 42.05/6.84 | | (238) unorthogonal_lines(all_25_3, all_25_4) = all_106_2
% 42.05/6.84 | | (239) unorthogonal_lines(all_25_3, all_25_3) = all_106_1
% 42.05/6.84 | |
% 42.05/6.84 | | DELTA: instantiating (111) with fresh symbols all_108_0, all_108_1,
% 42.05/6.84 | | all_108_2, all_108_3 gives:
% 42.05/6.84 | | (240) unorthogonal_lines(all_25_4, all_25_3) = all_108_2 &
% 42.05/6.84 | | convergent_lines(all_25_3, all_25_2) = all_108_0 &
% 42.05/6.84 | | convergent_lines(all_25_4, all_25_2) = all_108_1 &
% 42.05/6.84 | | convergent_lines(all_25_4, all_25_3) = all_108_3 & ( ~ (all_108_2 =
% 42.05/6.84 | | 0) | ~ (all_108_3 = 0) | (all_108_0 = 0 & all_25_0 = 0) |
% 42.05/6.84 | | (all_108_1 = 0 & all_36_1 = 0))
% 42.05/6.84 | |
% 42.05/6.84 | | ALPHA: (240) implies:
% 42.05/6.84 | | (241) convergent_lines(all_25_4, all_25_3) = all_108_3
% 42.05/6.84 | | (242) convergent_lines(all_25_4, all_25_2) = all_108_1
% 42.05/6.84 | | (243) convergent_lines(all_25_3, all_25_2) = all_108_0
% 42.05/6.84 | | (244) unorthogonal_lines(all_25_4, all_25_3) = all_108_2
% 42.05/6.84 | |
% 42.05/6.84 | | DELTA: instantiating (110) with fresh symbols all_110_0, all_110_1,
% 42.05/6.84 | | all_110_2, all_110_3 gives:
% 42.05/6.84 | | (245) unorthogonal_lines(all_25_3, all_25_4) = all_110_2 &
% 42.05/6.84 | | convergent_lines(all_25_3, all_25_2) = all_110_1 &
% 42.05/6.84 | | convergent_lines(all_25_3, all_25_4) = all_110_3 &
% 42.05/6.84 | | convergent_lines(all_25_4, all_25_2) = all_110_0 & ( ~ (all_110_2 =
% 42.05/6.84 | | 0) | ~ (all_110_3 = 0) | (all_110_0 = 0 & all_36_1 = 0) |
% 42.05/6.84 | | (all_110_1 = 0 & all_25_0 = 0))
% 42.05/6.84 | |
% 42.05/6.84 | | ALPHA: (245) implies:
% 42.05/6.84 | | (246) convergent_lines(all_25_4, all_25_2) = all_110_0
% 42.05/6.84 | | (247) convergent_lines(all_25_3, all_25_4) = all_110_3
% 42.05/6.84 | | (248) convergent_lines(all_25_3, all_25_2) = all_110_1
% 42.05/6.84 | | (249) unorthogonal_lines(all_25_3, all_25_4) = all_110_2
% 42.05/6.84 | |
% 42.05/6.84 | | DELTA: instantiating (91) with fresh symbols all_112_0, all_112_1,
% 42.05/6.84 | | all_112_2, all_112_3 gives:
% 42.05/6.84 | | (250) unorthogonal_lines(all_25_4, all_25_2) = all_112_1 &
% 42.05/6.84 | | unorthogonal_lines(all_25_4, all_25_3) = all_112_2 &
% 42.05/6.84 | | convergent_lines(all_25_3, all_25_2) = all_112_0 &
% 42.05/6.84 | | convergent_lines(all_25_4, all_25_3) = all_112_3 & ( ~ (all_112_2 =
% 42.05/6.84 | | 0) | ~ (all_112_3 = 0) | (all_112_0 = 0 & all_25_0 = 0) |
% 42.05/6.84 | | (all_112_1 = 0 & all_36_2 = 0))
% 42.05/6.84 | |
% 42.05/6.84 | | ALPHA: (250) implies:
% 42.05/6.84 | | (251) convergent_lines(all_25_4, all_25_3) = all_112_3
% 42.05/6.84 | | (252) convergent_lines(all_25_3, all_25_2) = all_112_0
% 42.05/6.84 | | (253) unorthogonal_lines(all_25_4, all_25_3) = all_112_2
% 42.05/6.84 | | (254) unorthogonal_lines(all_25_4, all_25_2) = all_112_1
% 42.05/6.84 | |
% 42.05/6.84 | | DELTA: instantiating (87) with fresh symbols all_114_0, all_114_1,
% 42.05/6.84 | | all_114_2, all_114_3 gives:
% 42.05/6.84 | | (255) unorthogonal_lines(all_25_4, all_25_3) = all_114_0 &
% 42.05/6.84 | | unorthogonal_lines(all_25_4, all_25_3) = all_114_1 &
% 42.05/6.84 | | unorthogonal_lines(all_25_4, all_25_4) = all_114_2 &
% 42.05/6.84 | | convergent_lines(all_25_4, all_25_4) = all_114_3 & ( ~ (all_114_2 =
% 42.05/6.84 | | 0) | ~ (all_114_3 = 0) | (all_114_0 = 0 & all_32_3 = 0) |
% 42.05/6.84 | | (all_114_1 = 0 & all_32_3 = 0))
% 42.05/6.84 | |
% 42.05/6.84 | | ALPHA: (255) implies:
% 42.05/6.84 | | (256) convergent_lines(all_25_4, all_25_4) = all_114_3
% 42.05/6.84 | | (257) unorthogonal_lines(all_25_4, all_25_4) = all_114_2
% 42.05/6.84 | | (258) unorthogonal_lines(all_25_4, all_25_3) = all_114_1
% 42.05/6.84 | | (259) unorthogonal_lines(all_25_4, all_25_3) = all_114_0
% 42.05/6.84 | |
% 42.05/6.84 | | DELTA: instantiating (113) with fresh symbols all_116_0, all_116_1,
% 42.05/6.84 | | all_116_2, all_116_3 gives:
% 42.05/6.84 | | (260) unorthogonal_lines(all_25_4, all_25_4) = all_116_2 &
% 42.05/6.84 | | convergent_lines(all_25_4, all_25_2) = all_116_0 &
% 42.05/6.84 | | convergent_lines(all_25_4, all_25_2) = all_116_1 &
% 42.05/6.84 | | convergent_lines(all_25_4, all_25_4) = all_116_3 & ( ~ (all_116_2 =
% 42.05/6.84 | | 0) | ~ (all_116_3 = 0) | (all_116_0 = 0 & all_36_1 = 0) |
% 42.05/6.84 | | (all_116_1 = 0 & all_36_1 = 0))
% 42.05/6.84 | |
% 42.05/6.84 | | ALPHA: (260) implies:
% 42.05/6.84 | | (261) convergent_lines(all_25_4, all_25_4) = all_116_3
% 42.05/6.84 | | (262) convergent_lines(all_25_4, all_25_2) = all_116_1
% 42.05/6.84 | | (263) convergent_lines(all_25_4, all_25_2) = all_116_0
% 42.05/6.84 | | (264) unorthogonal_lines(all_25_4, all_25_4) = all_116_2
% 42.05/6.84 | |
% 42.05/6.84 | | DELTA: instantiating (117) with fresh symbols all_118_0, all_118_1,
% 42.05/6.84 | | all_118_2, all_118_3 gives:
% 42.05/6.84 | | (265) unorthogonal_lines(all_25_4, all_25_2) = all_118_0 &
% 42.05/6.84 | | unorthogonal_lines(all_25_4, all_25_4) = all_118_2 &
% 42.05/6.84 | | convergent_lines(all_25_4, all_25_2) = all_118_1 &
% 42.05/6.84 | | convergent_lines(all_25_4, all_25_4) = all_118_3 & ( ~ (all_118_2 =
% 42.05/6.84 | | 0) | ~ (all_118_3 = 0) | (all_118_0 = 0 & all_36_2 = 0) |
% 42.05/6.84 | | (all_118_1 = 0 & all_36_1 = 0))
% 42.05/6.84 | |
% 42.05/6.84 | | ALPHA: (265) implies:
% 42.05/6.84 | | (266) convergent_lines(all_25_4, all_25_4) = all_118_3
% 42.05/6.84 | | (267) convergent_lines(all_25_4, all_25_2) = all_118_1
% 42.05/6.84 | | (268) unorthogonal_lines(all_25_4, all_25_4) = all_118_2
% 42.05/6.84 | | (269) unorthogonal_lines(all_25_4, all_25_2) = all_118_0
% 42.05/6.84 | |
% 42.05/6.84 | | DELTA: instantiating (116) with fresh symbols all_120_0, all_120_1,
% 42.05/6.84 | | all_120_2, all_120_3 gives:
% 42.05/6.84 | | (270) unorthogonal_lines(all_25_4, all_25_2) = all_120_1 &
% 42.05/6.84 | | unorthogonal_lines(all_25_4, all_25_4) = all_120_2 &
% 42.05/6.84 | | convergent_lines(all_25_4, all_25_2) = all_120_0 &
% 42.05/6.84 | | convergent_lines(all_25_4, all_25_4) = all_120_3 & ( ~ (all_120_2 =
% 42.05/6.84 | | 0) | ~ (all_120_3 = 0) | (all_120_0 = 0 & all_36_1 = 0) |
% 42.05/6.84 | | (all_120_1 = 0 & all_36_2 = 0))
% 42.05/6.84 | |
% 42.05/6.84 | | ALPHA: (270) implies:
% 42.05/6.84 | | (271) convergent_lines(all_25_4, all_25_4) = all_120_3
% 42.05/6.84 | | (272) convergent_lines(all_25_4, all_25_2) = all_120_0
% 42.05/6.84 | | (273) unorthogonal_lines(all_25_4, all_25_4) = all_120_2
% 42.05/6.84 | | (274) unorthogonal_lines(all_25_4, all_25_2) = all_120_1
% 42.05/6.84 | |
% 42.05/6.84 | | DELTA: instantiating (120) with fresh symbols all_122_0, all_122_1,
% 42.05/6.84 | | all_122_2, all_122_3 gives:
% 42.05/6.84 | | (275) unorthogonal_lines(all_25_3, all_25_4) = all_122_2 &
% 42.05/6.84 | | unorthogonal_lines(all_25_4, all_25_3) = all_122_0 &
% 42.05/6.84 | | convergent_lines(all_25_3, all_25_3) = all_122_1 &
% 42.05/6.84 | | convergent_lines(all_25_3, all_25_4) = all_122_3 & ( ~ (all_122_2 =
% 42.05/6.84 | | 0) | ~ (all_122_3 = 0) | (all_122_0 = 0 & all_32_3 = 0) |
% 42.05/6.84 | | (all_122_1 = 0 & all_32_0 = 0))
% 42.05/6.84 | |
% 42.05/6.84 | | ALPHA: (275) implies:
% 42.05/6.84 | | (276) convergent_lines(all_25_3, all_25_4) = all_122_3
% 42.05/6.84 | | (277) convergent_lines(all_25_3, all_25_3) = all_122_1
% 42.05/6.84 | | (278) unorthogonal_lines(all_25_4, all_25_3) = all_122_0
% 42.05/6.84 | | (279) unorthogonal_lines(all_25_3, all_25_4) = all_122_2
% 42.05/6.84 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_86_3, all_104_3, all_25_4,
% 42.05/6.85 | | all_25_4, simplifying with (188), (231) gives:
% 42.05/6.85 | | (280) all_104_3 = all_86_3
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_34_3, all_118_3, all_25_4,
% 42.05/6.85 | | all_25_4, simplifying with (51), (266) gives:
% 42.05/6.85 | | (281) all_118_3 = all_34_3
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_116_3, all_118_3, all_25_4,
% 42.05/6.85 | | all_25_4, simplifying with (261), (266) gives:
% 42.05/6.85 | | (282) all_118_3 = all_116_3
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_86_3, all_118_3, all_25_4,
% 42.05/6.85 | | all_25_4, simplifying with (188), (266) gives:
% 42.05/6.85 | | (283) all_118_3 = all_86_3
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_84_3, all_118_3, all_25_4,
% 42.05/6.85 | | all_25_4, simplifying with (183), (266) gives:
% 42.05/6.85 | | (284) all_118_3 = all_84_3
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_114_3, all_120_3, all_25_4,
% 42.05/6.85 | | all_25_4, simplifying with (256), (271) gives:
% 42.05/6.85 | | (285) all_120_3 = all_114_3
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_104_3, all_120_3, all_25_4,
% 42.05/6.85 | | all_25_4, simplifying with (231), (271) gives:
% 42.05/6.85 | | (286) all_120_3 = all_104_3
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_78_2, all_120_3, all_25_4,
% 42.05/6.85 | | all_25_4, simplifying with (169), (271) gives:
% 42.05/6.85 | | (287) all_120_3 = all_78_2
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_32_3, all_68_3, all_25_3, all_25_4,
% 42.05/6.85 | | simplifying with (46), (146) gives:
% 42.05/6.85 | | (288) all_68_3 = all_32_3
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_82_3, all_86_0, all_25_3, all_25_4,
% 42.05/6.85 | | simplifying with (177), (189) gives:
% 42.05/6.85 | | (289) all_86_0 = all_82_3
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_72_3, all_86_0, all_25_3, all_25_4,
% 42.05/6.85 | | simplifying with (154), (189) gives:
% 42.05/6.85 | | (290) all_86_0 = all_72_3
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_68_3, all_86_0, all_25_3, all_25_4,
% 42.05/6.85 | | simplifying with (146), (189) gives:
% 42.05/6.85 | | (291) all_86_0 = all_68_3
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_62_3, all_88_3, all_25_3, all_25_4,
% 42.05/6.85 | | simplifying with (132), (193) gives:
% 42.05/6.85 | | (292) all_88_3 = all_62_3
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_86_0, all_94_3, all_25_3, all_25_4,
% 42.05/6.85 | | simplifying with (189), (206) gives:
% 42.05/6.85 | | (293) all_94_3 = all_86_0
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_78_3, all_94_3, all_25_3, all_25_4,
% 42.05/6.85 | | simplifying with (170), (206) gives:
% 42.05/6.85 | | (294) all_94_3 = all_78_3
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_86_0, all_108_3, all_25_3,
% 42.05/6.85 | | all_25_4, simplifying with (189), (241) gives:
% 42.05/6.85 | | (295) all_108_3 = all_86_0
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_76_0, all_108_3, all_25_3,
% 42.05/6.85 | | all_25_4, simplifying with (164), (241) gives:
% 42.05/6.85 | | (296) all_108_3 = all_76_0
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_100_0, all_112_3, all_25_3,
% 42.05/6.85 | | all_25_4, simplifying with (221), (251) gives:
% 42.05/6.85 | | (297) all_112_3 = all_100_0
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_88_3, all_112_3, all_25_3,
% 42.05/6.85 | | all_25_4, simplifying with (193), (251) gives:
% 42.05/6.85 | | (298) all_112_3 = all_88_3
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_84_1, all_112_3, all_25_3,
% 42.05/6.85 | | all_25_4, simplifying with (184), (251) gives:
% 42.05/6.85 | | (299) all_112_3 = all_84_1
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_82_3, all_112_3, all_25_3,
% 42.05/6.85 | | all_25_4, simplifying with (177), (251) gives:
% 42.05/6.85 | | (300) all_112_3 = all_82_3
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_74_0, all_108_1, all_25_2,
% 42.05/6.85 | | all_25_4, simplifying with (159), (242) gives:
% 42.05/6.85 | | (301) all_108_1 = all_74_0
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_72_1, all_108_1, all_25_2,
% 42.05/6.85 | | all_25_4, simplifying with (155), (242) gives:
% 42.05/6.85 | | (302) all_108_1 = all_72_1
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_68_2, all_108_1, all_25_2,
% 42.05/6.85 | | all_25_4, simplifying with (147), (242) gives:
% 42.05/6.85 | | (303) all_108_1 = all_68_2
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_68_2, all_110_0, all_25_2,
% 42.05/6.85 | | all_25_4, simplifying with (147), (246) gives:
% 42.05/6.85 | | (304) all_110_0 = all_68_2
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_110_0, all_116_1, all_25_2,
% 42.05/6.85 | | all_25_4, simplifying with (246), (262) gives:
% 42.05/6.85 | | (305) all_116_1 = all_110_0
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_116_1, all_118_1, all_25_2,
% 42.05/6.85 | | all_25_4, simplifying with (262), (267) gives:
% 42.05/6.85 | | (306) all_118_1 = all_116_1
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_62_2, all_118_1, all_25_2,
% 42.05/6.85 | | all_25_4, simplifying with (133), (267) gives:
% 42.05/6.85 | | (307) all_118_1 = all_62_2
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_36_2, all_120_0, all_25_2,
% 42.05/6.85 | | all_25_4, simplifying with (57), (272) gives:
% 42.05/6.85 | | (308) all_120_0 = all_36_2
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_116_0, all_120_0, all_25_2,
% 42.05/6.85 | | all_25_4, simplifying with (263), (272) gives:
% 42.05/6.85 | | (309) all_120_0 = all_116_0
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_74_0, all_120_0, all_25_2,
% 42.05/6.85 | | all_25_4, simplifying with (159), (272) gives:
% 42.05/6.85 | | (310) all_120_0 = all_74_0
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_74_3, all_88_1, all_25_4, all_25_3,
% 42.05/6.85 | | simplifying with (160), (194) gives:
% 42.05/6.85 | | (311) all_88_1 = all_74_3
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_88_1, all_98_3, all_25_4, all_25_3,
% 42.05/6.85 | | simplifying with (194), (216) gives:
% 42.05/6.85 | | (312) all_98_3 = all_88_1
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_76_3, all_98_3, all_25_4, all_25_3,
% 42.05/6.85 | | simplifying with (165), (216) gives:
% 42.05/6.85 | | (313) all_98_3 = all_76_3
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_88_1, all_100_3, all_25_4,
% 42.05/6.85 | | all_25_3, simplifying with (194), (222) gives:
% 42.05/6.85 | | (314) all_100_3 = all_88_1
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_100_3, all_102_3, all_25_4,
% 42.05/6.85 | | all_25_3, simplifying with (222), (226) gives:
% 42.05/6.85 | | (315) all_102_3 = all_100_3
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_102_3, all_106_3, all_25_4,
% 42.05/6.85 | | all_25_3, simplifying with (226), (236) gives:
% 42.05/6.85 | | (316) all_106_3 = all_102_3
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_106_3, all_110_3, all_25_4,
% 42.05/6.85 | | all_25_3, simplifying with (236), (247) gives:
% 42.05/6.85 | | (317) all_110_3 = all_106_3
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_110_3, all_122_3, all_25_4,
% 42.05/6.85 | | all_25_3, simplifying with (247), (276) gives:
% 42.05/6.85 | | (318) all_122_3 = all_110_3
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_78_1, all_122_3, all_25_4,
% 42.05/6.85 | | all_25_3, simplifying with (171), (276) gives:
% 42.05/6.85 | | (319) all_122_3 = all_78_1
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_64_3, all_76_1, all_25_3, all_25_3,
% 42.05/6.85 | | simplifying with (137), (166) gives:
% 42.05/6.85 | | (320) all_76_1 = all_64_3
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_76_1, all_92_3, all_25_3, all_25_3,
% 42.05/6.85 | | simplifying with (166), (201) gives:
% 42.05/6.85 | | (321) all_92_3 = all_76_1
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_32_1, all_96_3, all_25_3, all_25_3,
% 42.05/6.85 | | simplifying with (48), (211) gives:
% 42.05/6.85 | | (322) all_96_3 = all_32_1
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_76_1, all_96_3, all_25_3, all_25_3,
% 42.05/6.85 | | simplifying with (166), (211) gives:
% 42.05/6.85 | | (323) all_96_3 = all_76_1
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_92_3, all_122_1, all_25_3,
% 42.05/6.85 | | all_25_3, simplifying with (201), (277) gives:
% 42.05/6.85 | | (324) all_122_1 = all_92_3
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_70_2, all_122_1, all_25_3,
% 42.05/6.85 | | all_25_3, simplifying with (151), (277) gives:
% 42.05/6.85 | | (325) all_122_1 = all_70_2
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with 0, all_80_2, all_25_2, all_25_3,
% 42.05/6.85 | | simplifying with (67), (174) gives:
% 42.05/6.85 | | (326) all_80_2 = 0
% 42.05/6.85 | |
% 42.05/6.85 | | GROUND_INST: instantiating (27) with all_80_2, all_92_1, all_25_2, all_25_3,
% 42.05/6.85 | | simplifying with (174), (202) gives:
% 42.05/6.85 | | (327) all_92_1 = all_80_2
% 42.05/6.85 | |
% 42.05/6.86 | | GROUND_INST: instantiating (27) with all_68_1, all_92_1, all_25_2, all_25_3,
% 42.05/6.86 | | simplifying with (148), (202) gives:
% 42.05/6.86 | | (328) all_92_1 = all_68_1
% 42.05/6.86 | |
% 42.05/6.86 | | GROUND_INST: instantiating (27) with all_82_1, all_102_1, all_25_2,
% 42.05/6.86 | | all_25_3, simplifying with (178), (227) gives:
% 42.05/6.86 | | (329) all_102_1 = all_82_1
% 42.05/6.86 | |
% 42.05/6.86 | | GROUND_INST: instantiating (27) with all_102_1, all_110_1, all_25_2,
% 42.05/6.86 | | all_25_3, simplifying with (227), (248) gives:
% 42.05/6.86 | | (330) all_110_1 = all_102_1
% 42.05/6.86 | |
% 42.05/6.86 | | GROUND_INST: instantiating (27) with all_96_0, all_110_1, all_25_2,
% 42.05/6.86 | | all_25_3, simplifying with (212), (248) gives:
% 42.05/6.86 | | (331) all_110_1 = all_96_0
% 42.05/6.86 | |
% 42.05/6.86 | | GROUND_INST: instantiating (27) with all_92_1, all_110_1, all_25_2,
% 42.05/6.86 | | all_25_3, simplifying with (202), (248) gives:
% 42.05/6.86 | | (332) all_110_1 = all_92_1
% 42.05/6.86 | |
% 42.05/6.86 | | GROUND_INST: instantiating (27) with all_110_1, all_112_0, all_25_2,
% 42.05/6.86 | | all_25_3, simplifying with (248), (252) gives:
% 42.05/6.86 | | (333) all_112_0 = all_110_1
% 42.05/6.86 | |
% 42.05/6.86 | | GROUND_INST: instantiating (27) with all_108_0, all_112_0, all_25_2,
% 42.05/6.86 | | all_25_3, simplifying with (243), (252) gives:
% 42.05/6.86 | | (334) all_112_0 = all_108_0
% 42.05/6.86 | |
% 42.05/6.86 | | GROUND_INST: instantiating (29) with all_58_1, all_60_1, all_25_2, all_25_3,
% 42.05/6.86 | | simplifying with (125), (130) gives:
% 42.05/6.86 | | (335) all_60_1 = all_58_1
% 42.05/6.86 | |
% 42.05/6.86 | | GROUND_INST: instantiating (30) with all_34_2, all_88_2, all_25_4, all_25_4,
% 42.05/6.86 | | simplifying with (54), (195) gives:
% 42.05/6.86 | | (336) all_88_2 = all_34_2
% 42.05/6.86 | |
% 42.05/6.86 | | GROUND_INST: instantiating (30) with all_104_2, all_116_2, all_25_4,
% 42.05/6.86 | | all_25_4, simplifying with (232), (264) gives:
% 42.05/6.86 | | (337) all_116_2 = all_104_2
% 42.05/6.86 | |
% 42.05/6.86 | | GROUND_INST: instantiating (30) with all_88_2, all_116_2, all_25_4,
% 42.05/6.86 | | all_25_4, simplifying with (195), (264) gives:
% 42.05/6.86 | | (338) all_116_2 = all_88_2
% 42.05/6.86 | |
% 42.05/6.86 | | GROUND_INST: instantiating (30) with all_84_2, all_116_2, all_25_4,
% 42.05/6.86 | | all_25_4, simplifying with (185), (264) gives:
% 42.05/6.86 | | (339) all_116_2 = all_84_2
% 42.05/6.86 | |
% 42.05/6.86 | | GROUND_INST: instantiating (30) with all_86_2, all_118_2, all_25_4,
% 42.05/6.86 | | all_25_4, simplifying with (190), (268) gives:
% 42.05/6.86 | | (340) all_118_2 = all_86_2
% 42.05/6.86 | |
% 42.05/6.86 | | GROUND_INST: instantiating (30) with all_118_2, all_120_2, all_25_4,
% 42.05/6.86 | | all_25_4, simplifying with (268), (273) gives:
% 42.05/6.86 | | (341) all_120_2 = all_118_2
% 42.05/6.86 | |
% 42.05/6.86 | | GROUND_INST: instantiating (30) with all_114_2, all_120_2, all_25_4,
% 42.05/6.86 | | all_25_4, simplifying with (257), (273) gives:
% 42.05/6.86 | | (342) all_120_2 = all_114_2
% 42.05/6.86 | |
% 42.05/6.86 | | GROUND_INST: instantiating (30) with all_88_2, all_120_2, all_25_4,
% 42.05/6.86 | | all_25_4, simplifying with (195), (273) gives:
% 42.05/6.86 | | (343) all_120_2 = all_88_2
% 42.05/6.86 | |
% 42.05/6.86 | | GROUND_INST: instantiating (30) with all_108_2, all_112_2, all_25_3,
% 42.05/6.86 | | all_25_4, simplifying with (244), (253) gives:
% 42.05/6.86 | | (344) all_112_2 = all_108_2
% 42.05/6.86 | |
% 42.05/6.86 | | GROUND_INST: instantiating (30) with all_106_0, all_114_1, all_25_3,
% 42.05/6.86 | | all_25_4, simplifying with (237), (258) gives:
% 42.05/6.86 | | (345) all_114_1 = all_106_0
% 42.05/6.86 | |
% 42.05/6.86 | | GROUND_INST: instantiating (30) with all_86_1, all_114_1, all_25_3,
% 42.05/6.86 | | all_25_4, simplifying with (191), (258) gives:
% 42.05/6.86 | | (346) all_114_1 = all_86_1
% 42.05/6.86 | |
% 42.36/6.87 | | GROUND_INST: instantiating (30) with all_84_0, all_114_1, all_25_3,
% 42.36/6.87 | | all_25_4, simplifying with (186), (258) gives:
% 42.36/6.87 | | (347) all_114_1 = all_84_0
% 42.36/6.87 | |
% 42.36/6.87 | | GROUND_INST: instantiating (30) with all_72_2, all_114_1, all_25_3,
% 42.36/6.87 | | all_25_4, simplifying with (156), (258) gives:
% 42.36/6.87 | | (348) all_114_1 = all_72_2
% 42.36/6.87 | |
% 42.36/6.87 | | GROUND_INST: instantiating (30) with 0, all_114_0, all_25_3, all_25_4,
% 42.36/6.87 | | simplifying with (38), (259) gives:
% 42.36/6.87 | | (349) all_114_0 = 0
% 42.36/6.87 | |
% 42.36/6.87 | | GROUND_INST: instantiating (30) with all_112_2, all_114_0, all_25_3,
% 42.36/6.87 | | all_25_4, simplifying with (253), (259) gives:
% 42.36/6.87 | | (350) all_114_0 = all_112_2
% 42.36/6.87 | |
% 42.36/6.87 | | GROUND_INST: instantiating (30) with all_108_2, all_122_0, all_25_3,
% 42.36/6.87 | | all_25_4, simplifying with (244), (278) gives:
% 42.36/6.87 | | (351) all_122_0 = all_108_2
% 42.36/6.87 | |
% 42.36/6.87 | | GROUND_INST: instantiating (30) with all_94_2, all_122_0, all_25_3,
% 42.36/6.87 | | all_25_4, simplifying with (207), (278) gives:
% 42.36/6.87 | | (352) all_122_0 = all_94_2
% 42.36/6.87 | |
% 42.36/6.87 | | GROUND_INST: instantiating (30) with all_86_1, all_122_0, all_25_3,
% 42.36/6.87 | | all_25_4, simplifying with (191), (278) gives:
% 42.36/6.87 | | (353) all_122_0 = all_86_1
% 42.36/6.87 | |
% 42.36/6.87 | | GROUND_INST: instantiating (30) with all_102_0, all_104_1, all_25_2,
% 42.36/6.87 | | all_25_4, simplifying with (228), (233) gives:
% 42.36/6.87 | | (354) all_104_1 = all_102_0
% 42.36/6.87 | |
% 42.36/6.87 | | GROUND_INST: instantiating (30) with all_98_0, all_104_1, all_25_2,
% 42.36/6.87 | | all_25_4, simplifying with (217), (233) gives:
% 42.36/6.87 | | (355) all_104_1 = all_98_0
% 42.36/6.87 | |
% 42.36/6.87 | | GROUND_INST: instantiating (30) with all_82_2, all_104_1, all_25_2,
% 42.36/6.87 | | all_25_4, simplifying with (179), (233) gives:
% 42.36/6.87 | | (356) all_104_1 = all_82_2
% 42.36/6.87 | |
% 42.36/6.87 | | GROUND_INST: instantiating (30) with all_62_1, all_104_0, all_25_2,
% 42.36/6.87 | | all_25_4, simplifying with (134), (234) gives:
% 42.36/6.87 | | (357) all_104_0 = all_62_1
% 42.36/6.87 | |
% 42.36/6.87 | | GROUND_INST: instantiating (30) with all_104_0, all_112_1, all_25_2,
% 42.36/6.87 | | all_25_4, simplifying with (234), (254) gives:
% 42.36/6.87 | | (358) all_112_1 = all_104_0
% 42.36/6.87 | |
% 42.36/6.87 | | GROUND_INST: instantiating (30) with all_94_1, all_112_1, all_25_2,
% 42.36/6.87 | | all_25_4, simplifying with (208), (254) gives:
% 42.36/6.87 | | (359) all_112_1 = all_94_1
% 42.36/6.87 | |
% 42.36/6.87 | | GROUND_INST: instantiating (30) with all_82_2, all_112_1, all_25_2,
% 42.36/6.87 | | all_25_4, simplifying with (179), (254) gives:
% 42.36/6.87 | | (360) all_112_1 = all_82_2
% 42.36/6.87 | |
% 42.36/6.87 | | GROUND_INST: instantiating (30) with all_104_1, all_118_0, all_25_2,
% 42.36/6.87 | | all_25_4, simplifying with (233), (269) gives:
% 42.36/6.87 | | (361) all_118_0 = all_104_1
% 42.36/6.87 | |
% 42.36/6.87 | | GROUND_INST: instantiating (30) with all_36_1, all_120_1, all_25_2,
% 42.36/6.87 | | all_25_4, simplifying with (59), (274) gives:
% 42.36/6.87 | | (362) all_120_1 = all_36_1
% 42.36/6.87 | |
% 42.36/6.87 | | GROUND_INST: instantiating (30) with all_118_0, all_120_1, all_25_2,
% 42.36/6.87 | | all_25_4, simplifying with (269), (274) gives:
% 42.36/6.87 | | (363) all_120_1 = all_118_0
% 42.36/6.87 | |
% 42.36/6.87 | | GROUND_INST: instantiating (30) with all_88_0, all_98_2, all_25_4, all_25_3,
% 42.36/6.87 | | simplifying with (196), (218) gives:
% 42.36/6.87 | | (364) all_98_2 = all_88_0
% 42.36/6.87 | |
% 42.36/6.87 | | GROUND_INST: instantiating (30) with all_88_0, all_100_2, all_25_4,
% 42.36/6.87 | | all_25_3, simplifying with (196), (223) gives:
% 42.36/6.87 | | (365) all_100_2 = all_88_0
% 42.36/6.87 | |
% 42.36/6.87 | | GROUND_INST: instantiating (30) with all_88_0, all_106_2, all_25_4,
% 42.36/6.87 | | all_25_3, simplifying with (196), (238) gives:
% 42.36/6.87 | | (366) all_106_2 = all_88_0
% 42.36/6.87 | |
% 42.36/6.87 | | GROUND_INST: instantiating (30) with all_78_0, all_106_2, all_25_4,
% 42.36/6.87 | | all_25_3, simplifying with (172), (238) gives:
% 42.36/6.87 | | (367) all_106_2 = all_78_0
% 42.36/6.87 | |
% 42.36/6.87 | | GROUND_INST: instantiating (30) with all_102_2, all_110_2, all_25_4,
% 42.36/6.87 | | all_25_3, simplifying with (229), (249) gives:
% 42.36/6.87 | | (368) all_110_2 = all_102_2
% 42.36/6.87 | |
% 42.36/6.87 | | GROUND_INST: instantiating (30) with all_98_2, all_110_2, all_25_4,
% 42.36/6.87 | | all_25_3, simplifying with (218), (249) gives:
% 42.36/6.87 | | (369) all_110_2 = all_98_2
% 42.36/6.87 | |
% 42.36/6.87 | | GROUND_INST: instantiating (30) with all_76_2, all_110_2, all_25_4,
% 42.36/6.87 | | all_25_3, simplifying with (167), (249) gives:
% 42.36/6.87 | | (370) all_110_2 = all_76_2
% 42.36/6.87 | |
% 42.36/6.87 | | GROUND_INST: instantiating (30) with all_100_2, all_122_2, all_25_4,
% 42.36/6.87 | | all_25_3, simplifying with (223), (279) gives:
% 42.36/6.87 | | (371) all_122_2 = all_100_2
% 42.36/6.87 | |
% 42.36/6.87 | | GROUND_INST: instantiating (30) with all_74_2, all_122_2, all_25_4,
% 42.36/6.87 | | all_25_3, simplifying with (161), (279) gives:
% 42.36/6.87 | | (372) all_122_2 = all_74_2
% 42.36/6.87 | |
% 42.36/6.87 | | GROUND_INST: instantiating (30) with all_32_0, all_90_2, all_25_3, all_25_3,
% 42.36/6.87 | | simplifying with (49), (198) gives:
% 42.36/6.87 | | (373) all_90_2 = all_32_0
% 42.36/6.87 | |
% 42.36/6.87 | | GROUND_INST: instantiating (30) with all_90_2, all_92_2, all_25_3, all_25_3,
% 42.36/6.87 | | simplifying with (198), (203) gives:
% 42.36/6.87 | | (374) all_92_2 = all_90_2
% 42.36/6.87 | |
% 42.36/6.87 | | GROUND_INST: instantiating (30) with all_92_2, all_96_2, all_25_3, all_25_3,
% 42.36/6.87 | | simplifying with (203), (213) gives:
% 42.36/6.87 | | (375) all_96_2 = all_92_2
% 42.36/6.87 | |
% 42.36/6.87 | | GROUND_INST: instantiating (30) with all_100_1, all_106_1, all_25_3,
% 42.36/6.87 | | all_25_3, simplifying with (224), (239) gives:
% 42.36/6.87 | | (376) all_106_1 = all_100_1
% 42.36/6.87 | |
% 42.36/6.87 | | GROUND_INST: instantiating (30) with all_96_2, all_106_1, all_25_3,
% 42.36/6.87 | | all_25_3, simplifying with (213), (239) gives:
% 42.36/6.87 | | (377) all_106_1 = all_96_2
% 42.36/6.87 | |
% 42.36/6.87 | | GROUND_INST: instantiating (30) with all_64_2, all_106_1, all_25_3,
% 42.36/6.87 | | all_25_3, simplifying with (138), (239) gives:
% 42.36/6.87 | | (378) all_106_1 = all_64_2
% 42.36/6.87 | |
% 42.36/6.87 | | GROUND_INST: instantiating (30) with all_25_0, all_66_2, all_25_2, all_25_3,
% 42.36/6.87 | | simplifying with (39), (144) gives:
% 42.36/6.87 | | (379) all_66_2 = all_25_0
% 42.36/6.87 | |
% 42.36/6.88 | | GROUND_INST: instantiating (30) with all_66_3, all_66_2, all_25_2, all_25_3,
% 42.36/6.88 | | simplifying with (143), (144) gives:
% 42.36/6.88 | | (380) all_66_2 = all_66_3
% 42.36/6.88 | |
% 42.36/6.88 | | GROUND_INST: instantiating (30) with all_64_0, all_66_2, all_25_2, all_25_3,
% 42.36/6.88 | | simplifying with (140), (144) gives:
% 42.36/6.88 | | (381) all_66_2 = all_64_0
% 42.36/6.88 | |
% 42.36/6.88 | | GROUND_INST: instantiating (30) with all_62_0, all_66_2, all_25_2, all_25_3,
% 42.36/6.88 | | simplifying with (135), (144) gives:
% 42.36/6.88 | | (382) all_66_2 = all_62_0
% 42.36/6.88 | |
% 42.36/6.88 | | GROUND_INST: instantiating (30) with all_70_3, all_72_0, all_25_2, all_25_3,
% 42.36/6.88 | | simplifying with (152), (157) gives:
% 42.36/6.88 | | (383) all_72_0 = all_70_3
% 42.36/6.88 | |
% 42.36/6.88 | | GROUND_INST: instantiating (30) with all_70_3, all_74_1, all_25_2, all_25_3,
% 42.36/6.88 | | simplifying with (152), (162) gives:
% 42.36/6.88 | | (384) all_74_1 = all_70_3
% 42.36/6.88 | |
% 42.36/6.88 | | GROUND_INST: instantiating (30) with all_66_3, all_74_1, all_25_2, all_25_3,
% 42.36/6.88 | | simplifying with (143), (162) gives:
% 42.36/6.88 | | (385) all_74_1 = all_66_3
% 42.36/6.88 | |
% 42.36/6.88 | | GROUND_INST: instantiating (30) with all_72_0, all_82_0, all_25_2, all_25_3,
% 42.36/6.88 | | simplifying with (157), (180) gives:
% 42.36/6.88 | | (386) all_82_0 = all_72_0
% 42.36/6.88 | |
% 42.36/6.88 | | GROUND_INST: instantiating (30) with all_80_3, all_90_3, all_25_2, all_25_3,
% 42.36/6.88 | | simplifying with (175), (199) gives:
% 42.36/6.88 | | (387) all_90_3 = all_80_3
% 42.36/6.88 | |
% 42.36/6.88 | | GROUND_INST: instantiating (30) with all_74_1, all_90_3, all_25_2, all_25_3,
% 42.36/6.88 | | simplifying with (162), (199) gives:
% 42.36/6.88 | | (388) all_90_3 = all_74_1
% 42.36/6.88 | |
% 42.36/6.88 | | GROUND_INST: instantiating (30) with all_90_3, all_92_0, all_25_2, all_25_3,
% 42.36/6.88 | | simplifying with (199), (204) gives:
% 42.36/6.88 | | (389) all_92_0 = all_90_3
% 42.36/6.88 | |
% 42.36/6.88 | | GROUND_INST: instantiating (30) with all_92_0, all_94_0, all_25_2, all_25_3,
% 42.36/6.88 | | simplifying with (204), (209) gives:
% 42.36/6.88 | | (390) all_94_0 = all_92_0
% 42.36/6.88 | |
% 42.36/6.88 | | GROUND_INST: instantiating (30) with all_68_0, all_94_0, all_25_2, all_25_3,
% 42.36/6.88 | | simplifying with (149), (209) gives:
% 42.36/6.88 | | (391) all_94_0 = all_68_0
% 42.36/6.88 | |
% 42.36/6.88 | | GROUND_INST: instantiating (30) with all_96_1, all_98_1, all_25_2, all_25_3,
% 42.36/6.88 | | simplifying with (214), (219) gives:
% 42.36/6.88 | | (392) all_98_1 = all_96_1
% 42.36/6.88 | |
% 42.36/6.88 | | GROUND_INST: instantiating (30) with all_82_0, all_98_1, all_25_2, all_25_3,
% 42.36/6.88 | | simplifying with (180), (219) gives:
% 42.36/6.88 | | (393) all_98_1 = all_82_0
% 42.36/6.88 | |
% 42.36/6.88 | | GROUND_INST: instantiating (30) with all_64_1, all_98_1, all_25_2, all_25_3,
% 42.36/6.88 | | simplifying with (139), (219) gives:
% 42.36/6.88 | | (394) all_98_1 = all_64_1
% 42.36/6.88 | |
% 42.36/6.88 | | COMBINE_EQS: (351), (352) imply:
% 42.36/6.88 | | (395) all_108_2 = all_94_2
% 42.36/6.88 | |
% 42.36/6.88 | | SIMP: (395) implies:
% 42.36/6.88 | | (396) all_108_2 = all_94_2
% 42.36/6.88 | |
% 42.36/6.88 | | COMBINE_EQS: (352), (353) imply:
% 42.36/6.88 | | (397) all_94_2 = all_86_1
% 42.36/6.88 | |
% 42.36/6.88 | | COMBINE_EQS: (324), (325) imply:
% 42.36/6.88 | | (398) all_92_3 = all_70_2
% 42.36/6.88 | |
% 42.36/6.88 | | SIMP: (398) implies:
% 42.36/6.88 | | (399) all_92_3 = all_70_2
% 42.36/6.88 | |
% 42.36/6.88 | | COMBINE_EQS: (371), (372) imply:
% 42.36/6.88 | | (400) all_100_2 = all_74_2
% 42.36/6.88 | |
% 42.36/6.88 | | SIMP: (400) implies:
% 42.36/6.88 | | (401) all_100_2 = all_74_2
% 42.36/6.88 | |
% 42.36/6.88 | | COMBINE_EQS: (318), (319) imply:
% 42.36/6.88 | | (402) all_110_3 = all_78_1
% 42.36/6.88 | |
% 42.36/6.88 | | SIMP: (402) implies:
% 42.36/6.88 | | (403) all_110_3 = all_78_1
% 42.36/6.88 | |
% 42.36/6.88 | | COMBINE_EQS: (309), (310) imply:
% 42.36/6.88 | | (404) all_116_0 = all_74_0
% 42.36/6.88 | |
% 42.36/6.88 | | COMBINE_EQS: (308), (309) imply:
% 42.36/6.88 | | (405) all_116_0 = all_36_2
% 42.36/6.88 | |
% 42.36/6.88 | | COMBINE_EQS: (362), (363) imply:
% 42.36/6.88 | | (406) all_118_0 = all_36_1
% 42.36/6.88 | |
% 42.36/6.88 | | SIMP: (406) implies:
% 42.36/6.88 | | (407) all_118_0 = all_36_1
% 42.36/6.88 | |
% 42.36/6.88 | | COMBINE_EQS: (341), (342) imply:
% 42.36/6.88 | | (408) all_118_2 = all_114_2
% 42.36/6.88 | |
% 42.36/6.88 | | SIMP: (408) implies:
% 42.36/6.88 | | (409) all_118_2 = all_114_2
% 42.36/6.88 | |
% 42.36/6.88 | | COMBINE_EQS: (342), (343) imply:
% 42.36/6.88 | | (410) all_114_2 = all_88_2
% 42.36/6.88 | |
% 42.36/6.88 | | COMBINE_EQS: (285), (287) imply:
% 42.36/6.88 | | (411) all_114_3 = all_78_2
% 42.36/6.88 | |
% 42.36/6.88 | | COMBINE_EQS: (285), (286) imply:
% 42.36/6.88 | | (412) all_114_3 = all_104_3
% 42.36/6.88 | |
% 42.36/6.88 | | COMBINE_EQS: (361), (407) imply:
% 42.36/6.88 | | (413) all_104_1 = all_36_1
% 42.36/6.88 | |
% 42.36/6.88 | | SIMP: (413) implies:
% 42.36/6.88 | | (414) all_104_1 = all_36_1
% 42.36/6.88 | |
% 42.36/6.88 | | COMBINE_EQS: (306), (307) imply:
% 42.36/6.88 | | (415) all_116_1 = all_62_2
% 42.36/6.88 | |
% 42.36/6.88 | | SIMP: (415) implies:
% 42.36/6.88 | | (416) all_116_1 = all_62_2
% 42.36/6.88 | |
% 42.36/6.88 | | COMBINE_EQS: (340), (409) imply:
% 42.36/6.88 | | (417) all_114_2 = all_86_2
% 42.36/6.88 | |
% 42.36/6.88 | | SIMP: (417) implies:
% 42.36/6.88 | | (418) all_114_2 = all_86_2
% 42.36/6.88 | |
% 42.36/6.88 | | COMBINE_EQS: (282), (283) imply:
% 42.36/6.88 | | (419) all_116_3 = all_86_3
% 42.36/6.88 | |
% 42.36/6.88 | | COMBINE_EQS: (282), (284) imply:
% 42.36/6.88 | | (420) all_116_3 = all_84_3
% 42.36/6.88 | |
% 42.36/6.88 | | COMBINE_EQS: (281), (282) imply:
% 42.36/6.88 | | (421) all_116_3 = all_34_3
% 42.36/6.88 | |
% 42.36/6.88 | | COMBINE_EQS: (404), (405) imply:
% 42.36/6.88 | | (422) all_74_0 = all_36_2
% 42.36/6.88 | |
% 42.36/6.88 | | SIMP: (422) implies:
% 42.36/6.88 | | (423) all_74_0 = all_36_2
% 42.36/6.88 | |
% 42.36/6.88 | | COMBINE_EQS: (305), (416) imply:
% 42.36/6.88 | | (424) all_110_0 = all_62_2
% 42.36/6.88 | |
% 42.36/6.88 | | SIMP: (424) implies:
% 42.36/6.88 | | (425) all_110_0 = all_62_2
% 42.36/6.88 | |
% 42.36/6.88 | | COMBINE_EQS: (337), (338) imply:
% 42.36/6.88 | | (426) all_104_2 = all_88_2
% 42.36/6.88 | |
% 42.36/6.88 | | COMBINE_EQS: (337), (339) imply:
% 42.36/6.88 | | (427) all_104_2 = all_84_2
% 42.36/6.88 | |
% 42.36/6.88 | | COMBINE_EQS: (419), (420) imply:
% 42.36/6.88 | | (428) all_86_3 = all_84_3
% 42.36/6.88 | |
% 42.36/6.88 | | SIMP: (428) implies:
% 42.36/6.88 | | (429) all_86_3 = all_84_3
% 42.36/6.88 | |
% 42.36/6.88 | | COMBINE_EQS: (420), (421) imply:
% 42.36/6.88 | | (430) all_84_3 = all_34_3
% 42.36/6.88 | |
% 42.36/6.88 | | COMBINE_EQS: (349), (350) imply:
% 42.36/6.88 | | (431) all_112_2 = 0
% 42.36/6.88 | |
% 42.36/6.88 | | SIMP: (431) implies:
% 42.36/6.88 | | (432) all_112_2 = 0
% 42.36/6.88 | |
% 42.36/6.88 | | COMBINE_EQS: (345), (346) imply:
% 42.36/6.88 | | (433) all_106_0 = all_86_1
% 42.36/6.88 | |
% 42.36/6.88 | | COMBINE_EQS: (345), (348) imply:
% 42.36/6.88 | | (434) all_106_0 = all_72_2
% 42.36/6.88 | |
% 42.36/6.88 | | COMBINE_EQS: (345), (347) imply:
% 42.36/6.89 | | (435) all_106_0 = all_84_0
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (410), (418) imply:
% 42.36/6.89 | | (436) all_88_2 = all_86_2
% 42.36/6.89 | |
% 42.36/6.89 | | SIMP: (436) implies:
% 42.36/6.89 | | (437) all_88_2 = all_86_2
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (411), (412) imply:
% 42.36/6.89 | | (438) all_104_3 = all_78_2
% 42.36/6.89 | |
% 42.36/6.89 | | SIMP: (438) implies:
% 42.36/6.89 | | (439) all_104_3 = all_78_2
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (333), (334) imply:
% 42.36/6.89 | | (440) all_110_1 = all_108_0
% 42.36/6.89 | |
% 42.36/6.89 | | SIMP: (440) implies:
% 42.36/6.89 | | (441) all_110_1 = all_108_0
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (358), (359) imply:
% 42.36/6.89 | | (442) all_104_0 = all_94_1
% 42.36/6.89 | |
% 42.36/6.89 | | SIMP: (442) implies:
% 42.36/6.89 | | (443) all_104_0 = all_94_1
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (359), (360) imply:
% 42.36/6.89 | | (444) all_94_1 = all_82_2
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (344), (432) imply:
% 42.36/6.89 | | (445) all_108_2 = 0
% 42.36/6.89 | |
% 42.36/6.89 | | SIMP: (445) implies:
% 42.36/6.89 | | (446) all_108_2 = 0
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (297), (300) imply:
% 42.36/6.89 | | (447) all_100_0 = all_82_3
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (297), (299) imply:
% 42.36/6.89 | | (448) all_100_0 = all_84_1
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (297), (298) imply:
% 42.36/6.89 | | (449) all_100_0 = all_88_3
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (304), (425) imply:
% 42.36/6.89 | | (450) all_68_2 = all_62_2
% 42.36/6.89 | |
% 42.36/6.89 | | SIMP: (450) implies:
% 42.36/6.89 | | (451) all_68_2 = all_62_2
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (332), (441) imply:
% 42.36/6.89 | | (452) all_108_0 = all_92_1
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (330), (441) imply:
% 42.36/6.89 | | (453) all_108_0 = all_102_1
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (331), (441) imply:
% 42.36/6.89 | | (454) all_108_0 = all_96_0
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (368), (369) imply:
% 42.36/6.89 | | (455) all_102_2 = all_98_2
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (368), (370) imply:
% 42.36/6.89 | | (456) all_102_2 = all_76_2
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (317), (403) imply:
% 42.36/6.89 | | (457) all_106_3 = all_78_1
% 42.36/6.89 | |
% 42.36/6.89 | | SIMP: (457) implies:
% 42.36/6.89 | | (458) all_106_3 = all_78_1
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (453), (454) imply:
% 42.36/6.89 | | (459) all_102_1 = all_96_0
% 42.36/6.89 | |
% 42.36/6.89 | | SIMP: (459) implies:
% 42.36/6.89 | | (460) all_102_1 = all_96_0
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (452), (454) imply:
% 42.36/6.89 | | (461) all_96_0 = all_92_1
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (301), (302) imply:
% 42.36/6.89 | | (462) all_74_0 = all_72_1
% 42.36/6.89 | |
% 42.36/6.89 | | SIMP: (462) implies:
% 42.36/6.89 | | (463) all_74_0 = all_72_1
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (302), (303) imply:
% 42.36/6.89 | | (464) all_72_1 = all_68_2
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (396), (446) imply:
% 42.36/6.89 | | (465) all_94_2 = 0
% 42.36/6.89 | |
% 42.36/6.89 | | SIMP: (465) implies:
% 42.36/6.89 | | (466) all_94_2 = 0
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (295), (296) imply:
% 42.36/6.89 | | (467) all_86_0 = all_76_0
% 42.36/6.89 | |
% 42.36/6.89 | | SIMP: (467) implies:
% 42.36/6.89 | | (468) all_86_0 = all_76_0
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (434), (435) imply:
% 42.36/6.89 | | (469) all_84_0 = all_72_2
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (433), (435) imply:
% 42.36/6.89 | | (470) all_86_1 = all_84_0
% 42.36/6.89 | |
% 42.36/6.89 | | SIMP: (470) implies:
% 42.36/6.89 | | (471) all_86_1 = all_84_0
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (376), (378) imply:
% 42.36/6.89 | | (472) all_100_1 = all_64_2
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (376), (377) imply:
% 42.36/6.89 | | (473) all_100_1 = all_96_2
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (366), (367) imply:
% 42.36/6.89 | | (474) all_88_0 = all_78_0
% 42.36/6.89 | |
% 42.36/6.89 | | SIMP: (474) implies:
% 42.36/6.89 | | (475) all_88_0 = all_78_0
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (316), (458) imply:
% 42.36/6.89 | | (476) all_102_3 = all_78_1
% 42.36/6.89 | |
% 42.36/6.89 | | SIMP: (476) implies:
% 42.36/6.89 | | (477) all_102_3 = all_78_1
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (357), (443) imply:
% 42.36/6.89 | | (478) all_94_1 = all_62_1
% 42.36/6.89 | |
% 42.36/6.89 | | SIMP: (478) implies:
% 42.36/6.89 | | (479) all_94_1 = all_62_1
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (354), (355) imply:
% 42.36/6.89 | | (480) all_102_0 = all_98_0
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (354), (356) imply:
% 42.36/6.89 | | (481) all_102_0 = all_82_2
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (354), (414) imply:
% 42.36/6.89 | | (482) all_102_0 = all_36_1
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (426), (427) imply:
% 42.36/6.89 | | (483) all_88_2 = all_84_2
% 42.36/6.89 | |
% 42.36/6.89 | | SIMP: (483) implies:
% 42.36/6.89 | | (484) all_88_2 = all_84_2
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (280), (439) imply:
% 42.36/6.89 | | (485) all_86_3 = all_78_2
% 42.36/6.89 | |
% 42.36/6.89 | | SIMP: (485) implies:
% 42.36/6.89 | | (486) all_86_3 = all_78_2
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (480), (481) imply:
% 42.36/6.89 | | (487) all_98_0 = all_82_2
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (480), (482) imply:
% 42.36/6.89 | | (488) all_98_0 = all_36_1
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (329), (460) imply:
% 42.36/6.89 | | (489) all_96_0 = all_82_1
% 42.36/6.89 | |
% 42.36/6.89 | | SIMP: (489) implies:
% 42.36/6.89 | | (490) all_96_0 = all_82_1
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (455), (456) imply:
% 42.36/6.89 | | (491) all_98_2 = all_76_2
% 42.36/6.89 | |
% 42.36/6.89 | | SIMP: (491) implies:
% 42.36/6.89 | | (492) all_98_2 = all_76_2
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (315), (477) imply:
% 42.36/6.89 | | (493) all_100_3 = all_78_1
% 42.36/6.89 | |
% 42.36/6.89 | | SIMP: (493) implies:
% 42.36/6.89 | | (494) all_100_3 = all_78_1
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (448), (449) imply:
% 42.36/6.89 | | (495) all_88_3 = all_84_1
% 42.36/6.89 | |
% 42.36/6.89 | | SIMP: (495) implies:
% 42.36/6.89 | | (496) all_88_3 = all_84_1
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (447), (448) imply:
% 42.36/6.89 | | (497) all_84_1 = all_82_3
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (472), (473) imply:
% 42.36/6.89 | | (498) all_96_2 = all_64_2
% 42.36/6.89 | |
% 42.36/6.89 | | SIMP: (498) implies:
% 42.36/6.89 | | (499) all_96_2 = all_64_2
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (365), (401) imply:
% 42.36/6.89 | | (500) all_88_0 = all_74_2
% 42.36/6.89 | |
% 42.36/6.89 | | SIMP: (500) implies:
% 42.36/6.89 | | (501) all_88_0 = all_74_2
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (314), (494) imply:
% 42.36/6.89 | | (502) all_88_1 = all_78_1
% 42.36/6.89 | |
% 42.36/6.89 | | SIMP: (502) implies:
% 42.36/6.89 | | (503) all_88_1 = all_78_1
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (487), (488) imply:
% 42.36/6.89 | | (504) all_82_2 = all_36_1
% 42.36/6.89 | |
% 42.36/6.89 | | SIMP: (504) implies:
% 42.36/6.89 | | (505) all_82_2 = all_36_1
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (392), (393) imply:
% 42.36/6.89 | | (506) all_96_1 = all_82_0
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (392), (394) imply:
% 42.36/6.89 | | (507) all_96_1 = all_64_1
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (364), (492) imply:
% 42.36/6.89 | | (508) all_88_0 = all_76_2
% 42.36/6.89 | |
% 42.36/6.89 | | SIMP: (508) implies:
% 42.36/6.89 | | (509) all_88_0 = all_76_2
% 42.36/6.89 | |
% 42.36/6.89 | | COMBINE_EQS: (312), (313) imply:
% 42.36/6.89 | | (510) all_88_1 = all_76_3
% 42.36/6.89 | |
% 42.36/6.89 | | SIMP: (510) implies:
% 42.36/6.89 | | (511) all_88_1 = all_76_3
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (461), (490) imply:
% 42.36/6.90 | | (512) all_92_1 = all_82_1
% 42.36/6.90 | |
% 42.36/6.90 | | SIMP: (512) implies:
% 42.36/6.90 | | (513) all_92_1 = all_82_1
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (506), (507) imply:
% 42.36/6.90 | | (514) all_82_0 = all_64_1
% 42.36/6.90 | |
% 42.36/6.90 | | SIMP: (514) implies:
% 42.36/6.90 | | (515) all_82_0 = all_64_1
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (375), (499) imply:
% 42.36/6.90 | | (516) all_92_2 = all_64_2
% 42.36/6.90 | |
% 42.36/6.90 | | SIMP: (516) implies:
% 42.36/6.90 | | (517) all_92_2 = all_64_2
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (322), (323) imply:
% 42.36/6.90 | | (518) all_76_1 = all_32_1
% 42.36/6.90 | |
% 42.36/6.90 | | SIMP: (518) implies:
% 42.36/6.90 | | (519) all_76_1 = all_32_1
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (390), (391) imply:
% 42.36/6.90 | | (520) all_92_0 = all_68_0
% 42.36/6.90 | |
% 42.36/6.90 | | SIMP: (520) implies:
% 42.36/6.90 | | (521) all_92_0 = all_68_0
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (444), (479) imply:
% 42.36/6.90 | | (522) all_82_2 = all_62_1
% 42.36/6.90 | |
% 42.36/6.90 | | SIMP: (522) implies:
% 42.36/6.90 | | (523) all_82_2 = all_62_1
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (397), (466) imply:
% 42.36/6.90 | | (524) all_86_1 = 0
% 42.36/6.90 | |
% 42.36/6.90 | | SIMP: (524) implies:
% 42.36/6.90 | | (525) all_86_1 = 0
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (293), (294) imply:
% 42.36/6.90 | | (526) all_86_0 = all_78_3
% 42.36/6.90 | |
% 42.36/6.90 | | SIMP: (526) implies:
% 42.36/6.90 | | (527) all_86_0 = all_78_3
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (389), (521) imply:
% 42.36/6.90 | | (528) all_90_3 = all_68_0
% 42.36/6.90 | |
% 42.36/6.90 | | SIMP: (528) implies:
% 42.36/6.90 | | (529) all_90_3 = all_68_0
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (328), (513) imply:
% 42.36/6.90 | | (530) all_82_1 = all_68_1
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (327), (513) imply:
% 42.36/6.90 | | (531) all_82_1 = all_80_2
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (374), (517) imply:
% 42.36/6.90 | | (532) all_90_2 = all_64_2
% 42.36/6.90 | |
% 42.36/6.90 | | SIMP: (532) implies:
% 42.36/6.90 | | (533) all_90_2 = all_64_2
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (321), (399) imply:
% 42.36/6.90 | | (534) all_76_1 = all_70_2
% 42.36/6.90 | |
% 42.36/6.90 | | SIMP: (534) implies:
% 42.36/6.90 | | (535) all_76_1 = all_70_2
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (373), (533) imply:
% 42.36/6.90 | | (536) all_64_2 = all_32_0
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (387), (529) imply:
% 42.36/6.90 | | (537) all_80_3 = all_68_0
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (387), (388) imply:
% 42.36/6.90 | | (538) all_80_3 = all_74_1
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (475), (501) imply:
% 42.36/6.90 | | (539) all_78_0 = all_74_2
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (475), (509) imply:
% 42.36/6.90 | | (540) all_78_0 = all_76_2
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (311), (503) imply:
% 42.36/6.90 | | (541) all_78_1 = all_74_3
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (503), (511) imply:
% 42.36/6.90 | | (542) all_78_1 = all_76_3
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (336), (437) imply:
% 42.36/6.90 | | (543) all_86_2 = all_34_2
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (437), (484) imply:
% 42.36/6.90 | | (544) all_86_2 = all_84_2
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (292), (496) imply:
% 42.36/6.90 | | (545) all_84_1 = all_62_3
% 42.36/6.90 | |
% 42.36/6.90 | | SIMP: (545) implies:
% 42.36/6.90 | | (546) all_84_1 = all_62_3
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (289), (527) imply:
% 42.36/6.90 | | (547) all_82_3 = all_78_3
% 42.36/6.90 | |
% 42.36/6.90 | | SIMP: (547) implies:
% 42.36/6.90 | | (548) all_82_3 = all_78_3
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (468), (527) imply:
% 42.36/6.90 | | (549) all_78_3 = all_76_0
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (291), (527) imply:
% 42.36/6.90 | | (550) all_78_3 = all_68_3
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (290), (527) imply:
% 42.36/6.90 | | (551) all_78_3 = all_72_3
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (471), (525) imply:
% 42.36/6.90 | | (552) all_84_0 = 0
% 42.36/6.90 | |
% 42.36/6.90 | | SIMP: (552) implies:
% 42.36/6.90 | | (553) all_84_0 = 0
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (543), (544) imply:
% 42.36/6.90 | | (554) all_84_2 = all_34_2
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (429), (486) imply:
% 42.36/6.90 | | (555) all_84_3 = all_78_2
% 42.36/6.90 | |
% 42.36/6.90 | | SIMP: (555) implies:
% 42.36/6.90 | | (556) all_84_3 = all_78_2
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (469), (553) imply:
% 42.36/6.90 | | (557) all_72_2 = 0
% 42.36/6.90 | |
% 42.36/6.90 | | SIMP: (557) implies:
% 42.36/6.90 | | (558) all_72_2 = 0
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (497), (546) imply:
% 42.36/6.90 | | (559) all_82_3 = all_62_3
% 42.36/6.90 | |
% 42.36/6.90 | | SIMP: (559) implies:
% 42.36/6.90 | | (560) all_82_3 = all_62_3
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (430), (556) imply:
% 42.36/6.90 | | (561) all_78_2 = all_34_3
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (386), (515) imply:
% 42.36/6.90 | | (562) all_72_0 = all_64_1
% 42.36/6.90 | |
% 42.36/6.90 | | SIMP: (562) implies:
% 42.36/6.90 | | (563) all_72_0 = all_64_1
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (530), (531) imply:
% 42.36/6.90 | | (564) all_80_2 = all_68_1
% 42.36/6.90 | |
% 42.36/6.90 | | SIMP: (564) implies:
% 42.36/6.90 | | (565) all_80_2 = all_68_1
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (505), (523) imply:
% 42.36/6.90 | | (566) all_62_1 = all_36_1
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (548), (560) imply:
% 42.36/6.90 | | (567) all_78_3 = all_62_3
% 42.36/6.90 | |
% 42.36/6.90 | | SIMP: (567) implies:
% 42.36/6.90 | | (568) all_78_3 = all_62_3
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (326), (565) imply:
% 42.36/6.90 | | (569) all_68_1 = 0
% 42.36/6.90 | |
% 42.36/6.90 | | SIMP: (569) implies:
% 42.36/6.90 | | (570) all_68_1 = 0
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (537), (538) imply:
% 42.36/6.90 | | (571) all_74_1 = all_68_0
% 42.36/6.90 | |
% 42.36/6.90 | | SIMP: (571) implies:
% 42.36/6.90 | | (572) all_74_1 = all_68_0
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (539), (540) imply:
% 42.36/6.90 | | (573) all_76_2 = all_74_2
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (541), (542) imply:
% 42.36/6.90 | | (574) all_76_3 = all_74_3
% 42.36/6.90 | |
% 42.36/6.90 | | SIMP: (574) implies:
% 42.36/6.90 | | (575) all_76_3 = all_74_3
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (549), (550) imply:
% 42.36/6.90 | | (576) all_76_0 = all_68_3
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (549), (551) imply:
% 42.36/6.90 | | (577) all_76_0 = all_72_3
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (549), (568) imply:
% 42.36/6.90 | | (578) all_76_0 = all_62_3
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (576), (577) imply:
% 42.36/6.90 | | (579) all_72_3 = all_68_3
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (577), (578) imply:
% 42.36/6.90 | | (580) all_72_3 = all_62_3
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (320), (535) imply:
% 42.36/6.90 | | (581) all_70_2 = all_64_3
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (519), (535) imply:
% 42.36/6.90 | | (582) all_70_2 = all_32_1
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (423), (463) imply:
% 42.36/6.90 | | (583) all_72_1 = all_36_2
% 42.36/6.90 | |
% 42.36/6.90 | | SIMP: (583) implies:
% 42.36/6.90 | | (584) all_72_1 = all_36_2
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (385), (572) imply:
% 42.36/6.90 | | (585) all_68_0 = all_66_3
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (384), (572) imply:
% 42.36/6.90 | | (586) all_70_3 = all_68_0
% 42.36/6.90 | |
% 42.36/6.90 | | SIMP: (586) implies:
% 42.36/6.90 | | (587) all_70_3 = all_68_0
% 42.36/6.90 | |
% 42.36/6.90 | | COMBINE_EQS: (383), (563) imply:
% 42.36/6.91 | | (588) all_70_3 = all_64_1
% 42.36/6.91 | |
% 42.36/6.91 | | SIMP: (588) implies:
% 42.36/6.91 | | (589) all_70_3 = all_64_1
% 42.36/6.91 | |
% 42.36/6.91 | | COMBINE_EQS: (464), (584) imply:
% 42.36/6.91 | | (590) all_68_2 = all_36_2
% 42.36/6.91 | |
% 42.36/6.91 | | SIMP: (590) implies:
% 42.36/6.91 | | (591) all_68_2 = all_36_2
% 42.36/6.91 | |
% 42.36/6.91 | | COMBINE_EQS: (579), (580) imply:
% 42.36/6.91 | | (592) all_68_3 = all_62_3
% 42.36/6.91 | |
% 42.36/6.91 | | SIMP: (592) implies:
% 42.36/6.91 | | (593) all_68_3 = all_62_3
% 42.36/6.91 | |
% 42.36/6.91 | | COMBINE_EQS: (581), (582) imply:
% 42.36/6.91 | | (594) all_64_3 = all_32_1
% 42.36/6.91 | |
% 42.36/6.91 | | SIMP: (594) implies:
% 42.36/6.91 | | (595) all_64_3 = all_32_1
% 42.36/6.91 | |
% 42.36/6.91 | | COMBINE_EQS: (587), (589) imply:
% 42.36/6.91 | | (596) all_68_0 = all_64_1
% 42.36/6.91 | |
% 42.36/6.91 | | SIMP: (596) implies:
% 42.36/6.91 | | (597) all_68_0 = all_64_1
% 42.36/6.91 | |
% 42.36/6.91 | | COMBINE_EQS: (585), (597) imply:
% 42.36/6.91 | | (598) all_66_3 = all_64_1
% 42.36/6.91 | |
% 42.36/6.91 | | SIMP: (598) implies:
% 42.36/6.91 | | (599) all_66_3 = all_64_1
% 42.36/6.91 | |
% 42.36/6.91 | | COMBINE_EQS: (451), (591) imply:
% 42.36/6.91 | | (600) all_62_2 = all_36_2
% 42.36/6.91 | |
% 42.36/6.91 | | SIMP: (600) implies:
% 42.36/6.91 | | (601) all_62_2 = all_36_2
% 42.36/6.91 | |
% 42.36/6.91 | | COMBINE_EQS: (288), (593) imply:
% 42.36/6.91 | | (602) all_62_3 = all_32_3
% 42.36/6.91 | |
% 42.36/6.91 | | COMBINE_EQS: (379), (381) imply:
% 42.36/6.91 | | (603) all_64_0 = all_25_0
% 42.36/6.91 | |
% 42.36/6.91 | | COMBINE_EQS: (380), (381) imply:
% 42.36/6.91 | | (604) all_66_3 = all_64_0
% 42.36/6.91 | |
% 42.36/6.91 | | SIMP: (604) implies:
% 42.36/6.91 | | (605) all_66_3 = all_64_0
% 42.36/6.91 | |
% 42.36/6.91 | | COMBINE_EQS: (381), (382) imply:
% 42.36/6.91 | | (606) all_64_0 = all_62_0
% 42.36/6.91 | |
% 42.36/6.91 | | COMBINE_EQS: (599), (605) imply:
% 42.36/6.91 | | (607) all_64_0 = all_64_1
% 42.36/6.91 | |
% 42.36/6.91 | | SIMP: (607) implies:
% 42.36/6.91 | | (608) all_64_0 = all_64_1
% 42.36/6.91 | |
% 42.36/6.91 | | COMBINE_EQS: (606), (608) imply:
% 42.36/6.91 | | (609) all_64_1 = all_62_0
% 42.36/6.91 | |
% 42.36/6.91 | | COMBINE_EQS: (603), (608) imply:
% 42.36/6.91 | | (610) all_64_1 = all_25_0
% 42.36/6.91 | |
% 42.36/6.91 | | COMBINE_EQS: (609), (610) imply:
% 42.36/6.91 | | (611) all_62_0 = all_25_0
% 42.36/6.91 | |
% 42.36/6.91 | | COMBINE_EQS: (560), (602) imply:
% 42.36/6.91 | | (612) all_82_3 = all_32_3
% 42.36/6.91 | |
% 42.36/6.91 | | COMBINE_EQS: (515), (610) imply:
% 42.36/6.91 | | (613) all_82_0 = all_25_0
% 42.36/6.91 | |
% 42.36/6.91 | | REDUCE: (129), (335) imply:
% 42.36/6.91 | | (614) apart_point_and_line(all_58_1, all_25_2) = all_60_0
% 42.36/6.91 | |
% 42.36/6.91 | | REDUCE: (128), (335) imply:
% 42.36/6.91 | | (615) $i(all_58_1)
% 42.36/6.91 | |
% 42.36/6.91 | | GROUND_INST: instantiating (1) with all_25_3, all_25_2, all_25_4, all_74_3,
% 42.36/6.91 | | simplifying with (34), (35), (36), (67), (160) gives:
% 42.36/6.91 | | (616) all_74_3 = 0 | convergent_lines(all_25_2, all_25_4) = 0
% 42.36/6.91 | |
% 42.36/6.91 | | GROUND_INST: instantiating (13) with all_25_3, all_25_2, all_25_4, all_74_3,
% 42.36/6.91 | | simplifying with (34), (35), (36), (67), (160) gives:
% 42.36/6.91 | | (617) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 42.36/6.91 | | (unorthogonal_lines(all_25_2, all_25_4) = v3 &
% 42.36/6.91 | | unorthogonal_lines(all_25_3, all_25_2) = v0 &
% 42.36/6.91 | | unorthogonal_lines(all_25_3, all_25_4) = v1 &
% 42.36/6.91 | | convergent_lines(all_25_2, all_25_4) = v2 & ( ~ (v0 = 0) | (v3 =
% 42.36/6.91 | | 0 & v2 = 0) | (v1 = 0 & all_74_3 = 0)))
% 42.36/6.91 | |
% 42.36/6.91 | | GROUND_INST: instantiating (20) with all_25_4, all_25_3, all_25_4, all_34_3,
% 42.36/6.91 | | all_74_3, simplifying with (34), (35), (51), (160) gives:
% 42.36/6.91 | | (618) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 42.36/6.91 | | (unorthogonal_lines(all_25_3, all_25_4) = v3 &
% 42.36/6.91 | | unorthogonal_lines(all_25_4, all_25_3) = v1 &
% 42.36/6.91 | | unorthogonal_lines(all_25_4, all_25_4) = v2 &
% 42.36/6.91 | | convergent_lines(all_25_4, all_25_3) = v0 & ( ~ (v1 = 0) | ~ (v0
% 42.36/6.91 | | = 0) | (v3 = 0 & all_74_3 = 0) | (v2 = 0 & all_34_3 = 0)))
% 42.36/6.91 | |
% 42.36/6.91 | | GROUND_INST: instantiating (20) with all_25_3, all_25_3, all_25_4, all_74_3,
% 42.36/6.91 | | all_74_3, simplifying with (34), (35), (160) gives:
% 42.36/6.91 | | (619) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 42.36/6.91 | | (unorthogonal_lines(all_25_3, all_25_3) = v1 &
% 42.36/6.91 | | unorthogonal_lines(all_25_3, all_25_4) = v3 &
% 42.36/6.91 | | unorthogonal_lines(all_25_3, all_25_4) = v2 &
% 42.36/6.91 | | convergent_lines(all_25_3, all_25_3) = v0 & ( ~ (v1 = 0) | ~ (v0
% 42.36/6.91 | | = 0) | (v3 = 0 & all_74_3 = 0) | (v2 = 0 & all_74_3 = 0)))
% 42.36/6.91 | |
% 42.36/6.91 | | GROUND_INST: instantiating (16) with all_25_4, all_25_3, all_25_4, all_74_3,
% 42.36/6.91 | | simplifying with (34), (35), (38), (160) gives:
% 42.36/6.91 | | (620) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 42.36/6.91 | | (unorthogonal_lines(all_25_3, all_25_4) = v3 &
% 42.36/6.91 | | unorthogonal_lines(all_25_4, all_25_4) = v2 &
% 42.36/6.91 | | convergent_lines(all_25_4, all_25_3) = v0 &
% 42.36/6.91 | | convergent_lines(all_25_4, all_25_4) = v1 & ( ~ (v0 = 0) | (v3 =
% 42.36/6.91 | | 0 & all_74_3 = 0) | (v2 = 0 & v1 = 0)))
% 42.36/6.91 | |
% 42.36/6.92 | | GROUND_INST: instantiating (21) with all_25_4, all_25_3, all_25_4, all_34_2,
% 42.36/6.92 | | all_74_3, simplifying with (34), (35), (54), (160) gives:
% 42.36/6.92 | | (621) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 42.36/6.92 | | (unorthogonal_lines(all_25_3, all_25_4) = v3 &
% 42.36/6.92 | | unorthogonal_lines(all_25_4, all_25_3) = v1 &
% 42.36/6.92 | | convergent_lines(all_25_4, all_25_3) = v0 &
% 42.36/6.92 | | convergent_lines(all_25_4, all_25_4) = v2 & ( ~ (v1 = 0) | ~ (v0
% 42.36/6.92 | | = 0) | (v3 = 0 & all_74_3 = 0) | (v2 = 0 & all_34_2 = 0)))
% 42.36/6.92 | |
% 42.36/6.92 | | GROUND_INST: instantiating (25) with all_58_1, all_25_3, all_25_3, all_25_2,
% 42.36/6.92 | | all_58_0, all_25_0, simplifying with (35), (36), (39), (124),
% 42.36/6.92 | | (615) gives:
% 42.36/6.92 | | (622) all_58_0 = 0 | all_25_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2:
% 42.36/6.92 | | any] : (unorthogonal_lines(all_25_3, all_25_2) = v2 &
% 42.36/6.92 | | apart_point_and_line(all_58_1, all_25_3) = v1 &
% 42.36/6.92 | | distinct_lines(all_25_3, all_25_3) = v0 & ( ~ (v0 = 0) | v2 = 0 |
% 42.36/6.92 | | v1 = 0))
% 42.36/6.92 | |
% 42.36/6.92 | | GROUND_INST: instantiating (11) with all_58_1, all_25_3, all_25_3, all_58_0,
% 42.36/6.92 | | all_58_0, simplifying with (35), (124), (615) gives:
% 42.36/6.92 | | (623) all_58_0 = 0 | ? [v0: any] : ? [v1: any] :
% 42.36/6.92 | | (convergent_lines(all_25_3, all_25_3) = v1 &
% 42.36/6.92 | | distinct_lines(all_25_3, all_25_3) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 42.36/6.92 | |
% 42.36/6.92 | | GROUND_INST: instantiating (7) with all_58_1, all_58_1, all_25_3, all_25_3,
% 42.36/6.92 | | all_58_0, all_58_0, simplifying with (35), (124), (615) gives:
% 42.36/6.92 | | (624) all_58_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3:
% 42.36/6.92 | | any] : (apart_point_and_line(all_58_1, all_25_3) = v3 &
% 42.36/6.92 | | apart_point_and_line(all_58_1, all_25_3) = v2 &
% 42.36/6.92 | | distinct_lines(all_25_3, all_25_3) = v1 &
% 42.36/6.92 | | distinct_points(all_58_1, all_58_1) = v0 & ( ~ (v1 = 0) | ~ (v0
% 42.36/6.92 | | = 0) | v3 = 0 | v2 = 0))
% 42.36/6.92 | |
% 42.36/6.92 | | GROUND_INST: instantiating (25) with all_58_1, all_25_2, all_25_3, all_25_2,
% 42.36/6.92 | | all_60_0, all_25_0, simplifying with (35), (36), (39), (614),
% 42.36/6.92 | | (615) gives:
% 42.36/6.92 | | (625) all_60_0 = 0 | all_25_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2:
% 42.36/6.92 | | any] : (unorthogonal_lines(all_25_2, all_25_2) = v2 &
% 42.36/6.92 | | apart_point_and_line(all_58_1, all_25_3) = v1 &
% 42.36/6.92 | | distinct_lines(all_25_2, all_25_3) = v0 & ( ~ (v0 = 0) | v2 = 0 |
% 42.36/6.92 | | v1 = 0))
% 42.36/6.92 | |
% 42.36/6.92 | | GROUND_INST: instantiating (24) with all_58_1, all_25_3, all_25_2, all_25_2,
% 42.36/6.92 | | all_60_0, all_25_0, simplifying with (35), (36), (39), (614),
% 42.36/6.92 | | (615) gives:
% 42.36/6.92 | | (626) all_60_0 = 0 | all_25_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2:
% 42.36/6.92 | | any] : (unorthogonal_lines(all_25_2, all_25_2) = v2 &
% 42.36/6.92 | | apart_point_and_line(all_58_1, all_25_3) = v1 &
% 42.36/6.92 | | distinct_lines(all_25_3, all_25_2) = v0 & ( ~ (v0 = 0) | v2 = 0 |
% 42.36/6.92 | | v1 = 0))
% 42.36/6.92 | |
% 42.36/6.92 | | GROUND_INST: instantiating (11) with all_58_1, all_25_2, all_25_2, all_60_0,
% 42.36/6.92 | | all_60_0, simplifying with (36), (614), (615) gives:
% 42.36/6.92 | | (627) all_60_0 = 0 | ? [v0: any] : ? [v1: any] :
% 42.36/6.92 | | (convergent_lines(all_25_2, all_25_2) = v1 &
% 42.36/6.92 | | distinct_lines(all_25_2, all_25_2) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 42.36/6.92 | |
% 42.36/6.92 | | GROUND_INST: instantiating (7) with all_58_1, all_58_1, all_25_2, all_25_2,
% 42.36/6.92 | | all_60_0, all_60_0, simplifying with (36), (614), (615) gives:
% 42.36/6.92 | | (628) all_60_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3:
% 42.36/6.92 | | any] : (apart_point_and_line(all_58_1, all_25_2) = v3 &
% 42.36/6.92 | | apart_point_and_line(all_58_1, all_25_2) = v2 &
% 42.36/6.92 | | distinct_lines(all_25_2, all_25_2) = v1 &
% 42.36/6.92 | | distinct_points(all_58_1, all_58_1) = v0 & ( ~ (v1 = 0) | ~ (v0
% 42.36/6.92 | | = 0) | v3 = 0 | v2 = 0))
% 42.36/6.92 | |
% 42.36/6.92 | | GROUND_INST: instantiating (11) with all_58_1, all_25_3, all_25_2, all_58_0,
% 42.36/6.92 | | all_60_0, simplifying with (35), (36), (124), (614), (615)
% 42.36/6.92 | | gives:
% 42.36/6.92 | | (629) all_60_0 = 0 | all_58_0 = 0 | ? [v0: any] : ? [v1: any] :
% 42.36/6.92 | | (convergent_lines(all_25_3, all_25_2) = v1 &
% 42.36/6.92 | | distinct_lines(all_25_3, all_25_2) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 42.36/6.92 | |
% 42.36/6.93 | | GROUND_INST: instantiating (11) with all_58_1, all_25_2, all_25_3, all_60_0,
% 42.36/6.93 | | all_58_0, simplifying with (35), (36), (124), (614), (615)
% 42.36/6.93 | | gives:
% 42.36/6.93 | | (630) all_60_0 = 0 | all_58_0 = 0 | ? [v0: any] : ? [v1: any] :
% 42.36/6.93 | | (convergent_lines(all_25_2, all_25_3) = v1 &
% 42.36/6.93 | | distinct_lines(all_25_2, all_25_3) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 42.36/6.93 | |
% 42.36/6.93 | | GROUND_INST: instantiating (7) with all_58_1, all_58_1, all_25_3, all_25_2,
% 42.36/6.93 | | all_58_0, all_60_0, simplifying with (35), (36), (124), (614),
% 42.36/6.93 | | (615) gives:
% 42.36/6.93 | | (631) all_60_0 = 0 | all_58_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2:
% 42.36/6.93 | | any] : ? [v3: any] : (apart_point_and_line(all_58_1, all_25_2) =
% 42.36/6.93 | | v2 & apart_point_and_line(all_58_1, all_25_3) = v3 &
% 42.36/6.93 | | distinct_lines(all_25_3, all_25_2) = v1 &
% 42.36/6.93 | | distinct_points(all_58_1, all_58_1) = v0 & ( ~ (v1 = 0) | ~ (v0
% 42.36/6.93 | | = 0) | v3 = 0 | v2 = 0))
% 42.36/6.93 | |
% 42.36/6.93 | | GROUND_INST: instantiating (7) with all_58_1, all_58_1, all_25_2, all_25_3,
% 42.36/6.93 | | all_60_0, all_58_0, simplifying with (35), (36), (124), (614),
% 42.36/6.93 | | (615) gives:
% 42.36/6.93 | | (632) all_60_0 = 0 | all_58_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2:
% 42.36/6.93 | | any] : ? [v3: any] : (apart_point_and_line(all_58_1, all_25_2) =
% 42.36/6.93 | | v3 & apart_point_and_line(all_58_1, all_25_3) = v2 &
% 42.36/6.93 | | distinct_lines(all_25_2, all_25_3) = v1 &
% 42.36/6.93 | | distinct_points(all_58_1, all_58_1) = v0 & ( ~ (v1 = 0) | ~ (v0
% 42.36/6.93 | | = 0) | v3 = 0 | v2 = 0))
% 42.36/6.93 | |
% 42.36/6.93 | | GROUND_INST: instantiating (6) with all_58_1, all_58_1, all_25_2, all_25_3,
% 42.36/6.93 | | all_58_0, all_60_0, simplifying with (35), (36), (124), (614),
% 42.36/6.93 | | (615) gives:
% 42.36/6.93 | | (633) all_60_0 = 0 | all_58_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2:
% 42.36/6.93 | | any] : ? [v3: any] : (apart_point_and_line(all_58_1, all_25_2) =
% 42.36/6.93 | | v2 & apart_point_and_line(all_58_1, all_25_3) = v3 &
% 42.36/6.93 | | distinct_lines(all_25_2, all_25_3) = v1 &
% 42.36/6.93 | | distinct_points(all_58_1, all_58_1) = v0 & ( ~ (v1 = 0) | ~ (v0
% 42.36/6.93 | | = 0) | v3 = 0 | v2 = 0))
% 42.36/6.93 | |
% 42.36/6.93 | | GROUND_INST: instantiating (6) with all_58_1, all_58_1, all_25_3, all_25_2,
% 42.36/6.93 | | all_60_0, all_58_0, simplifying with (35), (36), (124), (614),
% 42.36/6.93 | | (615) gives:
% 42.36/6.93 | | (634) all_60_0 = 0 | all_58_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2:
% 42.36/6.93 | | any] : ? [v3: any] : (apart_point_and_line(all_58_1, all_25_2) =
% 42.36/6.93 | | v3 & apart_point_and_line(all_58_1, all_25_3) = v2 &
% 42.36/6.93 | | distinct_lines(all_25_3, all_25_2) = v1 &
% 42.36/6.93 | | distinct_points(all_58_1, all_58_1) = v0 & ( ~ (v1 = 0) | ~ (v0
% 42.36/6.93 | | = 0) | v3 = 0 | v2 = 0))
% 42.36/6.93 | |
% 42.36/6.93 | | GROUND_INST: instantiating (8) with all_58_1, all_25_4, all_25_2, all_25_1,
% 42.36/6.93 | | all_60_0, simplifying with (34), (36), (37), (614), (615)
% 42.36/6.93 | | gives:
% 42.36/6.93 | | (635) all_60_0 = 0 | all_25_1 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 42.36/6.93 | | apart_point_and_line(all_58_1, all_25_4) = v0)
% 42.36/6.93 | |
% 42.36/6.93 | | GROUND_INST: instantiating (19) with all_25_4, all_25_3, all_25_4, all_74_2,
% 42.36/6.93 | | simplifying with (34), (35), (38), (161) gives:
% 42.36/6.93 | | (636) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 42.36/6.93 | | (unorthogonal_lines(all_25_4, all_25_4) = v2 &
% 42.36/6.93 | | convergent_lines(all_25_3, all_25_4) = v3 &
% 42.36/6.93 | | convergent_lines(all_25_4, all_25_3) = v0 &
% 42.36/6.93 | | convergent_lines(all_25_4, all_25_4) = v1 & ( ~ (v0 = 0) | (v3 =
% 42.36/6.93 | | 0 & all_74_2 = 0) | (v2 = 0 & v1 = 0)))
% 42.36/6.93 | |
% 42.36/6.93 | | GROUND_INST: instantiating (23) with all_25_4, all_25_3, all_25_4, all_34_2,
% 42.36/6.93 | | all_74_2, simplifying with (34), (35), (54), (161) gives:
% 42.36/6.93 | | (637) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 42.36/6.93 | | (unorthogonal_lines(all_25_4, all_25_3) = v1 &
% 42.36/6.93 | | convergent_lines(all_25_3, all_25_4) = v3 &
% 42.36/6.93 | | convergent_lines(all_25_4, all_25_3) = v0 &
% 42.36/6.93 | | convergent_lines(all_25_4, all_25_4) = v2 & ( ~ (v1 = 0) | ~ (v0
% 42.36/6.93 | | = 0) | (v3 = 0 & all_74_2 = 0) | (v2 = 0 & all_34_2 = 0)))
% 42.36/6.93 | |
% 42.36/6.93 | | GROUND_INST: instantiating (23) with all_25_3, all_25_3, all_25_4, all_74_2,
% 42.36/6.93 | | all_74_2, simplifying with (34), (35), (161) gives:
% 42.36/6.94 | | (638) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 42.36/6.94 | | (unorthogonal_lines(all_25_3, all_25_3) = v1 &
% 42.36/6.94 | | convergent_lines(all_25_3, all_25_3) = v0 &
% 42.36/6.94 | | convergent_lines(all_25_3, all_25_4) = v3 &
% 42.36/6.94 | | convergent_lines(all_25_3, all_25_4) = v2 & ( ~ (v1 = 0) | ~ (v0
% 42.36/6.94 | | = 0) | (v3 = 0 & all_74_2 = 0) | (v2 = 0 & all_74_2 = 0)))
% 42.36/6.94 | |
% 42.36/6.94 | | GROUND_INST: instantiating (17) with all_25_3, all_25_2, all_25_4, all_74_2,
% 42.36/6.94 | | simplifying with (34), (35), (36), (67), (161) gives:
% 42.36/6.94 | | (639) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 42.36/6.94 | | (unorthogonal_lines(all_25_2, all_25_4) = v3 &
% 42.36/6.94 | | unorthogonal_lines(all_25_3, all_25_2) = v0 &
% 42.36/6.94 | | convergent_lines(all_25_2, all_25_4) = v2 &
% 42.36/6.94 | | convergent_lines(all_25_3, all_25_4) = v1 & ( ~ (v0 = 0) | (v3 =
% 42.36/6.94 | | 0 & v2 = 0) | (v1 = 0 & all_74_2 = 0)))
% 42.36/6.94 | |
% 42.36/6.94 | | GROUND_INST: instantiating (22) with all_25_4, all_25_3, all_25_4, all_34_3,
% 42.36/6.94 | | all_74_2, simplifying with (34), (35), (51), (161) gives:
% 42.36/6.94 | | (640) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 42.36/6.94 | | (unorthogonal_lines(all_25_4, all_25_3) = v1 &
% 42.36/6.94 | | unorthogonal_lines(all_25_4, all_25_4) = v2 &
% 42.36/6.94 | | convergent_lines(all_25_3, all_25_4) = v3 &
% 42.36/6.94 | | convergent_lines(all_25_4, all_25_3) = v0 & ( ~ (v1 = 0) | ~ (v0
% 42.36/6.94 | | = 0) | (v3 = 0 & all_74_2 = 0) | (v2 = 0 & all_34_3 = 0)))
% 42.36/6.94 | |
% 42.36/6.94 | | GROUND_INST: instantiating (22) with all_25_3, all_25_3, all_25_4, all_74_3,
% 42.36/6.94 | | all_74_2, simplifying with (34), (35), (160), (161) gives:
% 42.36/6.94 | | (641) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 42.36/6.94 | | (unorthogonal_lines(all_25_3, all_25_3) = v1 &
% 42.36/6.94 | | unorthogonal_lines(all_25_3, all_25_4) = v2 &
% 42.36/6.94 | | convergent_lines(all_25_3, all_25_3) = v0 &
% 42.36/6.94 | | convergent_lines(all_25_3, all_25_4) = v3 & ( ~ (v1 = 0) | ~ (v0
% 42.36/6.94 | | = 0) | (v3 = 0 & all_74_2 = 0) | (v2 = 0 & all_74_3 = 0)))
% 42.36/6.94 | |
% 42.36/6.94 | | GROUND_INST: instantiating (21) with all_25_3, all_25_3, all_25_4, all_74_2,
% 42.36/6.94 | | all_74_3, simplifying with (34), (35), (160), (161) gives:
% 42.36/6.94 | | (642) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 42.36/6.94 | | (unorthogonal_lines(all_25_3, all_25_3) = v1 &
% 42.36/6.94 | | unorthogonal_lines(all_25_3, all_25_4) = v3 &
% 42.36/6.94 | | convergent_lines(all_25_3, all_25_3) = v0 &
% 42.36/6.94 | | convergent_lines(all_25_3, all_25_4) = v2 & ( ~ (v1 = 0) | ~ (v0
% 42.36/6.94 | | = 0) | (v3 = 0 & all_74_3 = 0) | (v2 = 0 & all_74_2 = 0)))
% 42.36/6.94 | |
% 42.36/6.94 | | DELTA: instantiating (639) with fresh symbols all_133_0, all_133_1,
% 42.36/6.94 | | all_133_2, all_133_3 gives:
% 42.36/6.94 | | (643) unorthogonal_lines(all_25_2, all_25_4) = all_133_0 &
% 42.36/6.94 | | unorthogonal_lines(all_25_3, all_25_2) = all_133_3 &
% 42.36/6.94 | | convergent_lines(all_25_2, all_25_4) = all_133_1 &
% 42.36/6.94 | | convergent_lines(all_25_3, all_25_4) = all_133_2 & ( ~ (all_133_3 =
% 42.36/6.94 | | 0) | (all_133_0 = 0 & all_133_1 = 0) | (all_133_2 = 0 &
% 42.36/6.94 | | all_74_2 = 0))
% 42.36/6.94 | |
% 42.36/6.94 | | ALPHA: (643) implies:
% 42.36/6.94 | | (644) convergent_lines(all_25_3, all_25_4) = all_133_2
% 42.36/6.94 | | (645) unorthogonal_lines(all_25_3, all_25_2) = all_133_3
% 42.36/6.94 | |
% 42.36/6.94 | | DELTA: instantiating (636) with fresh symbols all_135_0, all_135_1,
% 42.36/6.94 | | all_135_2, all_135_3 gives:
% 42.36/6.94 | | (646) unorthogonal_lines(all_25_4, all_25_4) = all_135_1 &
% 42.36/6.94 | | convergent_lines(all_25_3, all_25_4) = all_135_0 &
% 42.36/6.94 | | convergent_lines(all_25_4, all_25_3) = all_135_3 &
% 42.36/6.94 | | convergent_lines(all_25_4, all_25_4) = all_135_2 & ( ~ (all_135_3 =
% 42.36/6.94 | | 0) | (all_135_0 = 0 & all_74_2 = 0) | (all_135_1 = 0 &
% 42.36/6.94 | | all_135_2 = 0))
% 42.36/6.94 | |
% 42.36/6.94 | | ALPHA: (646) implies:
% 42.36/6.94 | | (647) convergent_lines(all_25_4, all_25_4) = all_135_2
% 42.36/6.94 | | (648) convergent_lines(all_25_4, all_25_3) = all_135_3
% 42.36/6.94 | | (649) convergent_lines(all_25_3, all_25_4) = all_135_0
% 42.36/6.94 | |
% 42.36/6.94 | | DELTA: instantiating (620) with fresh symbols all_137_0, all_137_1,
% 42.36/6.94 | | all_137_2, all_137_3 gives:
% 42.36/6.94 | | (650) unorthogonal_lines(all_25_3, all_25_4) = all_137_0 &
% 42.36/6.94 | | unorthogonal_lines(all_25_4, all_25_4) = all_137_1 &
% 42.36/6.94 | | convergent_lines(all_25_4, all_25_3) = all_137_3 &
% 42.36/6.94 | | convergent_lines(all_25_4, all_25_4) = all_137_2 & ( ~ (all_137_3 =
% 42.36/6.94 | | 0) | (all_137_0 = 0 & all_74_3 = 0) | (all_137_1 = 0 &
% 42.36/6.94 | | all_137_2 = 0))
% 42.36/6.94 | |
% 42.36/6.94 | | ALPHA: (650) implies:
% 42.36/6.94 | | (651) convergent_lines(all_25_4, all_25_4) = all_137_2
% 42.36/6.94 | | (652) convergent_lines(all_25_4, all_25_3) = all_137_3
% 42.36/6.94 | |
% 42.36/6.94 | | DELTA: instantiating (617) with fresh symbols all_139_0, all_139_1,
% 42.36/6.94 | | all_139_2, all_139_3 gives:
% 42.36/6.94 | | (653) unorthogonal_lines(all_25_2, all_25_4) = all_139_0 &
% 42.36/6.94 | | unorthogonal_lines(all_25_3, all_25_2) = all_139_3 &
% 42.36/6.94 | | unorthogonal_lines(all_25_3, all_25_4) = all_139_2 &
% 42.36/6.94 | | convergent_lines(all_25_2, all_25_4) = all_139_1 & ( ~ (all_139_3 =
% 42.36/6.94 | | 0) | (all_139_0 = 0 & all_139_1 = 0) | (all_139_2 = 0 &
% 42.36/6.94 | | all_74_3 = 0))
% 42.36/6.94 | |
% 42.36/6.94 | | ALPHA: (653) implies:
% 42.36/6.94 | | (654) unorthogonal_lines(all_25_3, all_25_2) = all_139_3
% 42.36/6.94 | |
% 42.36/6.94 | | DELTA: instantiating (642) with fresh symbols all_141_0, all_141_1,
% 42.36/6.94 | | all_141_2, all_141_3 gives:
% 42.36/6.95 | | (655) unorthogonal_lines(all_25_3, all_25_3) = all_141_2 &
% 42.36/6.95 | | unorthogonal_lines(all_25_3, all_25_4) = all_141_0 &
% 42.36/6.95 | | convergent_lines(all_25_3, all_25_3) = all_141_3 &
% 42.36/6.95 | | convergent_lines(all_25_3, all_25_4) = all_141_1 & ( ~ (all_141_2 =
% 42.36/6.95 | | 0) | ~ (all_141_3 = 0) | (all_141_0 = 0 & all_74_3 = 0) |
% 42.36/6.95 | | (all_141_1 = 0 & all_74_2 = 0))
% 42.36/6.95 | |
% 42.36/6.95 | | ALPHA: (655) implies:
% 42.36/6.95 | | (656) convergent_lines(all_25_3, all_25_4) = all_141_1
% 42.36/6.95 | | (657) convergent_lines(all_25_3, all_25_3) = all_141_3
% 42.36/6.95 | | (658) unorthogonal_lines(all_25_3, all_25_3) = all_141_2
% 42.36/6.95 | |
% 42.36/6.95 | | DELTA: instantiating (641) with fresh symbols all_143_0, all_143_1,
% 42.36/6.95 | | all_143_2, all_143_3 gives:
% 42.36/6.95 | | (659) unorthogonal_lines(all_25_3, all_25_3) = all_143_2 &
% 42.36/6.95 | | unorthogonal_lines(all_25_3, all_25_4) = all_143_1 &
% 42.36/6.95 | | convergent_lines(all_25_3, all_25_3) = all_143_3 &
% 42.36/6.95 | | convergent_lines(all_25_3, all_25_4) = all_143_0 & ( ~ (all_143_2 =
% 42.36/6.95 | | 0) | ~ (all_143_3 = 0) | (all_143_0 = 0 & all_74_2 = 0) |
% 42.36/6.95 | | (all_143_1 = 0 & all_74_3 = 0))
% 42.36/6.95 | |
% 42.36/6.95 | | ALPHA: (659) implies:
% 42.36/6.95 | | (660) convergent_lines(all_25_3, all_25_4) = all_143_0
% 42.36/6.95 | | (661) convergent_lines(all_25_3, all_25_3) = all_143_3
% 42.36/6.95 | | (662) unorthogonal_lines(all_25_3, all_25_3) = all_143_2
% 42.36/6.95 | |
% 42.36/6.95 | | DELTA: instantiating (640) with fresh symbols all_145_0, all_145_1,
% 42.36/6.95 | | all_145_2, all_145_3 gives:
% 42.36/6.95 | | (663) unorthogonal_lines(all_25_4, all_25_3) = all_145_2 &
% 42.36/6.95 | | unorthogonal_lines(all_25_4, all_25_4) = all_145_1 &
% 42.36/6.95 | | convergent_lines(all_25_3, all_25_4) = all_145_0 &
% 42.36/6.95 | | convergent_lines(all_25_4, all_25_3) = all_145_3 & ( ~ (all_145_2 =
% 42.36/6.95 | | 0) | ~ (all_145_3 = 0) | (all_145_0 = 0 & all_74_2 = 0) |
% 42.36/6.95 | | (all_145_1 = 0 & all_34_3 = 0))
% 42.36/6.95 | |
% 42.36/6.95 | | ALPHA: (663) implies:
% 42.36/6.95 | | (664) convergent_lines(all_25_4, all_25_3) = all_145_3
% 42.36/6.95 | | (665) convergent_lines(all_25_3, all_25_4) = all_145_0
% 42.36/6.95 | | (666) unorthogonal_lines(all_25_4, all_25_3) = all_145_2
% 42.36/6.95 | |
% 42.36/6.95 | | DELTA: instantiating (638) with fresh symbols all_147_0, all_147_1,
% 42.36/6.95 | | all_147_2, all_147_3 gives:
% 42.36/6.95 | | (667) unorthogonal_lines(all_25_3, all_25_3) = all_147_2 &
% 42.36/6.95 | | convergent_lines(all_25_3, all_25_3) = all_147_3 &
% 42.36/6.95 | | convergent_lines(all_25_3, all_25_4) = all_147_0 &
% 42.36/6.95 | | convergent_lines(all_25_3, all_25_4) = all_147_1 & ( ~ (all_147_2 =
% 42.36/6.95 | | 0) | ~ (all_147_3 = 0) | (all_147_0 = 0 & all_74_2 = 0) |
% 42.36/6.95 | | (all_147_1 = 0 & all_74_2 = 0))
% 42.36/6.95 | |
% 42.36/6.95 | | ALPHA: (667) implies:
% 42.36/6.95 | | (668) convergent_lines(all_25_3, all_25_4) = all_147_1
% 42.36/6.95 | | (669) convergent_lines(all_25_3, all_25_4) = all_147_0
% 42.36/6.95 | | (670) convergent_lines(all_25_3, all_25_3) = all_147_3
% 42.36/6.95 | | (671) unorthogonal_lines(all_25_3, all_25_3) = all_147_2
% 42.36/6.95 | |
% 42.36/6.95 | | DELTA: instantiating (637) with fresh symbols all_149_0, all_149_1,
% 42.36/6.95 | | all_149_2, all_149_3 gives:
% 42.36/6.95 | | (672) unorthogonal_lines(all_25_4, all_25_3) = all_149_2 &
% 42.36/6.95 | | convergent_lines(all_25_3, all_25_4) = all_149_0 &
% 42.36/6.95 | | convergent_lines(all_25_4, all_25_3) = all_149_3 &
% 42.36/6.95 | | convergent_lines(all_25_4, all_25_4) = all_149_1 & ( ~ (all_149_2 =
% 42.36/6.95 | | 0) | ~ (all_149_3 = 0) | (all_149_0 = 0 & all_74_2 = 0) |
% 42.36/6.95 | | (all_149_1 = 0 & all_34_2 = 0))
% 42.36/6.95 | |
% 42.36/6.95 | | ALPHA: (672) implies:
% 42.36/6.95 | | (673) convergent_lines(all_25_4, all_25_4) = all_149_1
% 42.36/6.95 | | (674) convergent_lines(all_25_4, all_25_3) = all_149_3
% 42.36/6.95 | | (675) convergent_lines(all_25_3, all_25_4) = all_149_0
% 42.36/6.95 | | (676) unorthogonal_lines(all_25_4, all_25_3) = all_149_2
% 42.36/6.95 | |
% 42.36/6.95 | | DELTA: instantiating (619) with fresh symbols all_151_0, all_151_1,
% 42.36/6.95 | | all_151_2, all_151_3 gives:
% 42.36/6.95 | | (677) unorthogonal_lines(all_25_3, all_25_3) = all_151_2 &
% 42.36/6.95 | | unorthogonal_lines(all_25_3, all_25_4) = all_151_0 &
% 42.36/6.95 | | unorthogonal_lines(all_25_3, all_25_4) = all_151_1 &
% 42.36/6.95 | | convergent_lines(all_25_3, all_25_3) = all_151_3 & ( ~ (all_151_2 =
% 42.36/6.95 | | 0) | ~ (all_151_3 = 0) | (all_151_0 = 0 & all_74_3 = 0) |
% 42.36/6.95 | | (all_151_1 = 0 & all_74_3 = 0))
% 42.36/6.95 | |
% 42.36/6.95 | | ALPHA: (677) implies:
% 42.36/6.95 | | (678) convergent_lines(all_25_3, all_25_3) = all_151_3
% 42.36/6.95 | | (679) unorthogonal_lines(all_25_3, all_25_3) = all_151_2
% 42.36/6.95 | |
% 42.36/6.95 | | DELTA: instantiating (621) with fresh symbols all_153_0, all_153_1,
% 42.36/6.95 | | all_153_2, all_153_3 gives:
% 42.36/6.95 | | (680) unorthogonal_lines(all_25_3, all_25_4) = all_153_0 &
% 42.36/6.95 | | unorthogonal_lines(all_25_4, all_25_3) = all_153_2 &
% 42.36/6.95 | | convergent_lines(all_25_4, all_25_3) = all_153_3 &
% 42.36/6.95 | | convergent_lines(all_25_4, all_25_4) = all_153_1 & ( ~ (all_153_2 =
% 42.36/6.95 | | 0) | ~ (all_153_3 = 0) | (all_153_0 = 0 & all_74_3 = 0) |
% 42.36/6.95 | | (all_153_1 = 0 & all_34_2 = 0))
% 42.36/6.95 | |
% 42.36/6.95 | | ALPHA: (680) implies:
% 42.36/6.95 | | (681) convergent_lines(all_25_4, all_25_4) = all_153_1
% 42.36/6.95 | | (682) convergent_lines(all_25_4, all_25_3) = all_153_3
% 42.36/6.95 | | (683) unorthogonal_lines(all_25_4, all_25_3) = all_153_2
% 42.36/6.95 | |
% 42.36/6.95 | | DELTA: instantiating (618) with fresh symbols all_155_0, all_155_1,
% 42.36/6.95 | | all_155_2, all_155_3 gives:
% 42.36/6.95 | | (684) unorthogonal_lines(all_25_3, all_25_4) = all_155_0 &
% 42.36/6.95 | | unorthogonal_lines(all_25_4, all_25_3) = all_155_2 &
% 42.36/6.95 | | unorthogonal_lines(all_25_4, all_25_4) = all_155_1 &
% 42.36/6.95 | | convergent_lines(all_25_4, all_25_3) = all_155_3 & ( ~ (all_155_2 =
% 42.36/6.95 | | 0) | ~ (all_155_3 = 0) | (all_155_0 = 0 & all_74_3 = 0) |
% 42.36/6.95 | | (all_155_1 = 0 & all_34_3 = 0))
% 42.36/6.95 | |
% 42.36/6.95 | | ALPHA: (684) implies:
% 42.36/6.95 | | (685) convergent_lines(all_25_4, all_25_3) = all_155_3
% 42.36/6.95 | | (686) unorthogonal_lines(all_25_4, all_25_3) = all_155_2
% 42.36/6.95 | |
% 42.36/6.95 | | BETA: splitting (623) gives:
% 42.36/6.95 | |
% 42.36/6.95 | | Case 1:
% 42.36/6.95 | | |
% 42.36/6.95 | | | (687) all_58_0 = 0
% 42.36/6.95 | | |
% 42.36/6.95 | | | REDUCE: (123), (687) imply:
% 42.36/6.95 | | | (688) $false
% 42.36/6.95 | | |
% 42.36/6.95 | | | CLOSE: (688) is inconsistent.
% 42.36/6.95 | | |
% 42.36/6.95 | | Case 2:
% 42.36/6.95 | | |
% 42.36/6.95 | | | (689) ? [v0: any] : ? [v1: any] : (convergent_lines(all_25_3,
% 42.36/6.95 | | | all_25_3) = v1 & distinct_lines(all_25_3, all_25_3) = v0 & (
% 42.36/6.95 | | | ~ (v0 = 0) | v1 = 0))
% 42.36/6.95 | | |
% 42.36/6.95 | | | DELTA: instantiating (689) with fresh symbols all_161_0, all_161_1 gives:
% 42.36/6.95 | | | (690) convergent_lines(all_25_3, all_25_3) = all_161_0 &
% 42.36/6.95 | | | distinct_lines(all_25_3, all_25_3) = all_161_1 & ( ~ (all_161_1 =
% 42.36/6.95 | | | 0) | all_161_0 = 0)
% 42.36/6.95 | | |
% 42.36/6.95 | | | ALPHA: (690) implies:
% 42.36/6.95 | | | (691) convergent_lines(all_25_3, all_25_3) = all_161_0
% 42.36/6.95 | | |
% 42.36/6.95 | | | BETA: splitting (628) gives:
% 42.36/6.95 | | |
% 42.36/6.95 | | | Case 1:
% 42.36/6.95 | | | |
% 42.36/6.95 | | | | (692) all_60_0 = 0
% 42.36/6.95 | | | |
% 42.36/6.95 | | | | REDUCE: (127), (692) imply:
% 42.36/6.95 | | | | (693) $false
% 42.36/6.95 | | | |
% 42.36/6.95 | | | | CLOSE: (693) is inconsistent.
% 42.36/6.95 | | | |
% 42.36/6.95 | | | Case 2:
% 42.36/6.95 | | | |
% 42.36/6.96 | | | | (694) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 42.36/6.96 | | | | (apart_point_and_line(all_58_1, all_25_2) = v3 &
% 42.36/6.96 | | | | apart_point_and_line(all_58_1, all_25_2) = v2 &
% 42.36/6.96 | | | | distinct_lines(all_25_2, all_25_2) = v1 &
% 42.36/6.96 | | | | distinct_points(all_58_1, all_58_1) = v0 & ( ~ (v1 = 0) | ~
% 42.36/6.96 | | | | (v0 = 0) | v3 = 0 | v2 = 0))
% 42.36/6.96 | | | |
% 42.36/6.96 | | | | DELTA: instantiating (694) with fresh symbols all_166_0, all_166_1,
% 42.36/6.96 | | | | all_166_2, all_166_3 gives:
% 42.36/6.96 | | | | (695) apart_point_and_line(all_58_1, all_25_2) = all_166_0 &
% 42.36/6.96 | | | | apart_point_and_line(all_58_1, all_25_2) = all_166_1 &
% 42.36/6.96 | | | | distinct_lines(all_25_2, all_25_2) = all_166_2 &
% 42.36/6.96 | | | | distinct_points(all_58_1, all_58_1) = all_166_3 & ( ~
% 42.36/6.96 | | | | (all_166_2 = 0) | ~ (all_166_3 = 0) | all_166_0 = 0 |
% 42.36/6.96 | | | | all_166_1 = 0)
% 42.36/6.96 | | | |
% 42.36/6.96 | | | | ALPHA: (695) implies:
% 42.36/6.96 | | | | (696) apart_point_and_line(all_58_1, all_25_2) = all_166_1
% 42.36/6.96 | | | | (697) apart_point_and_line(all_58_1, all_25_2) = all_166_0
% 42.36/6.96 | | | |
% 42.36/6.96 | | | | BETA: splitting (624) gives:
% 42.36/6.96 | | | |
% 42.36/6.96 | | | | Case 1:
% 42.36/6.96 | | | | |
% 42.36/6.96 | | | | | (698) all_58_0 = 0
% 42.36/6.96 | | | | |
% 42.36/6.96 | | | | | REDUCE: (123), (698) imply:
% 42.36/6.96 | | | | | (699) $false
% 42.36/6.96 | | | | |
% 42.36/6.96 | | | | | CLOSE: (699) is inconsistent.
% 42.36/6.96 | | | | |
% 42.36/6.96 | | | | Case 2:
% 42.36/6.96 | | | | |
% 42.36/6.96 | | | | | (700) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 42.36/6.96 | | | | | (apart_point_and_line(all_58_1, all_25_3) = v3 &
% 42.36/6.96 | | | | | apart_point_and_line(all_58_1, all_25_3) = v2 &
% 42.36/6.96 | | | | | distinct_lines(all_25_3, all_25_3) = v1 &
% 42.36/6.96 | | | | | distinct_points(all_58_1, all_58_1) = v0 & ( ~ (v1 = 0) |
% 42.36/6.96 | | | | | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 42.36/6.96 | | | | |
% 42.36/6.96 | | | | | DELTA: instantiating (700) with fresh symbols all_171_0, all_171_1,
% 42.36/6.96 | | | | | all_171_2, all_171_3 gives:
% 42.36/6.96 | | | | | (701) apart_point_and_line(all_58_1, all_25_3) = all_171_0 &
% 42.36/6.96 | | | | | apart_point_and_line(all_58_1, all_25_3) = all_171_1 &
% 42.36/6.96 | | | | | distinct_lines(all_25_3, all_25_3) = all_171_2 &
% 42.36/6.96 | | | | | distinct_points(all_58_1, all_58_1) = all_171_3 & ( ~
% 42.36/6.96 | | | | | (all_171_2 = 0) | ~ (all_171_3 = 0) | all_171_0 = 0 |
% 42.36/6.96 | | | | | all_171_1 = 0)
% 42.36/6.96 | | | | |
% 42.36/6.96 | | | | | ALPHA: (701) implies:
% 42.36/6.96 | | | | | (702) apart_point_and_line(all_58_1, all_25_3) = all_171_1
% 42.36/6.96 | | | | | (703) apart_point_and_line(all_58_1, all_25_3) = all_171_0
% 42.36/6.96 | | | | |
% 42.36/6.96 | | | | | BETA: splitting (627) gives:
% 42.36/6.96 | | | | |
% 42.36/6.96 | | | | | Case 1:
% 42.36/6.96 | | | | | |
% 42.36/6.96 | | | | | | (704) all_60_0 = 0
% 42.36/6.96 | | | | | |
% 42.36/6.96 | | | | | | REDUCE: (127), (704) imply:
% 42.36/6.96 | | | | | | (705) $false
% 42.36/6.96 | | | | | |
% 42.36/6.96 | | | | | | CLOSE: (705) is inconsistent.
% 42.36/6.96 | | | | | |
% 42.36/6.96 | | | | | Case 2:
% 42.36/6.96 | | | | | |
% 42.36/6.96 | | | | | | (706) ? [v0: any] : ? [v1: any] : (convergent_lines(all_25_2,
% 42.36/6.96 | | | | | | all_25_2) = v1 & distinct_lines(all_25_2, all_25_2) =
% 42.36/6.96 | | | | | | v0 & ( ~ (v0 = 0) | v1 = 0))
% 42.36/6.96 | | | | | |
% 42.36/6.96 | | | | | | DELTA: instantiating (706) with fresh symbols all_176_0, all_176_1
% 42.36/6.96 | | | | | | gives:
% 42.36/6.96 | | | | | | (707) convergent_lines(all_25_2, all_25_2) = all_176_0 &
% 42.36/6.96 | | | | | | distinct_lines(all_25_2, all_25_2) = all_176_1 & ( ~
% 42.36/6.96 | | | | | | (all_176_1 = 0) | all_176_0 = 0)
% 42.36/6.96 | | | | | |
% 42.36/6.96 | | | | | | ALPHA: (707) implies:
% 42.36/6.96 | | | | | | (708) convergent_lines(all_25_2, all_25_2) = all_176_0
% 42.36/6.96 | | | | | |
% 42.36/6.96 | | | | | | BETA: splitting (635) gives:
% 42.36/6.96 | | | | | |
% 42.36/6.96 | | | | | | Case 1:
% 42.36/6.96 | | | | | | |
% 42.36/6.96 | | | | | | | (709) all_60_0 = 0
% 42.36/6.96 | | | | | | |
% 42.36/6.96 | | | | | | | REDUCE: (127), (709) imply:
% 42.36/6.96 | | | | | | | (710) $false
% 42.36/6.96 | | | | | | |
% 42.36/6.96 | | | | | | | CLOSE: (710) is inconsistent.
% 42.36/6.96 | | | | | | |
% 42.36/6.96 | | | | | | Case 2:
% 42.36/6.96 | | | | | | |
% 42.36/6.96 | | | | | | | (711) all_25_1 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 42.36/6.96 | | | | | | | apart_point_and_line(all_58_1, all_25_4) = v0)
% 42.36/6.96 | | | | | | |
% 42.36/6.96 | | | | | | | BETA: splitting (629) gives:
% 42.36/6.96 | | | | | | |
% 42.36/6.96 | | | | | | | Case 1:
% 42.36/6.96 | | | | | | | |
% 42.36/6.96 | | | | | | | | (712) all_60_0 = 0
% 42.36/6.96 | | | | | | | |
% 42.36/6.96 | | | | | | | | REDUCE: (127), (712) imply:
% 42.36/6.96 | | | | | | | | (713) $false
% 42.36/6.96 | | | | | | | |
% 42.36/6.96 | | | | | | | | CLOSE: (713) is inconsistent.
% 42.36/6.96 | | | | | | | |
% 42.36/6.96 | | | | | | | Case 2:
% 42.36/6.96 | | | | | | | |
% 42.36/6.96 | | | | | | | | (714) all_58_0 = 0 | ? [v0: any] : ? [v1: any] :
% 42.36/6.96 | | | | | | | | (convergent_lines(all_25_3, all_25_2) = v1 &
% 42.36/6.96 | | | | | | | | distinct_lines(all_25_3, all_25_2) = v0 & ( ~ (v0 =
% 42.36/6.96 | | | | | | | | 0) | v1 = 0))
% 42.36/6.96 | | | | | | | |
% 42.36/6.96 | | | | | | | | BETA: splitting (634) gives:
% 42.36/6.96 | | | | | | | |
% 42.36/6.96 | | | | | | | | Case 1:
% 42.36/6.96 | | | | | | | | |
% 42.36/6.96 | | | | | | | | | (715) all_60_0 = 0
% 42.36/6.96 | | | | | | | | |
% 42.36/6.96 | | | | | | | | | REDUCE: (127), (715) imply:
% 42.36/6.96 | | | | | | | | | (716) $false
% 42.36/6.96 | | | | | | | | |
% 42.36/6.96 | | | | | | | | | CLOSE: (716) is inconsistent.
% 42.36/6.96 | | | | | | | | |
% 42.36/6.96 | | | | | | | | Case 2:
% 42.36/6.96 | | | | | | | | |
% 42.36/6.96 | | | | | | | | | (717) all_58_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2:
% 42.36/6.96 | | | | | | | | | any] : ? [v3: any] :
% 42.36/6.96 | | | | | | | | | (apart_point_and_line(all_58_1, all_25_2) = v3 &
% 42.36/6.96 | | | | | | | | | apart_point_and_line(all_58_1, all_25_3) = v2 &
% 42.36/6.96 | | | | | | | | | distinct_lines(all_25_3, all_25_2) = v1 &
% 42.36/6.96 | | | | | | | | | distinct_points(all_58_1, all_58_1) = v0 & ( ~ (v1
% 42.36/6.96 | | | | | | | | | = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 42.36/6.96 | | | | | | | | |
% 42.36/6.96 | | | | | | | | | BETA: splitting (625) gives:
% 42.36/6.96 | | | | | | | | |
% 42.36/6.96 | | | | | | | | | Case 1:
% 42.36/6.96 | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | (718) all_60_0 = 0
% 42.36/6.96 | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | REDUCE: (127), (718) imply:
% 42.36/6.96 | | | | | | | | | | (719) $false
% 42.36/6.96 | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | CLOSE: (719) is inconsistent.
% 42.36/6.96 | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | Case 2:
% 42.36/6.96 | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | (720) all_25_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 42.36/6.96 | | | | | | | | | | [v2: any] : (unorthogonal_lines(all_25_2, all_25_2)
% 42.36/6.96 | | | | | | | | | | = v2 & apart_point_and_line(all_58_1, all_25_3) =
% 42.36/6.96 | | | | | | | | | | v1 & distinct_lines(all_25_2, all_25_3) = v0 & (
% 42.36/6.96 | | | | | | | | | | ~ (v0 = 0) | v2 = 0 | v1 = 0))
% 42.36/6.96 | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | BETA: splitting (626) gives:
% 42.36/6.96 | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | Case 1:
% 42.36/6.96 | | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | | (721) all_60_0 = 0
% 42.36/6.96 | | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | | REDUCE: (127), (721) imply:
% 42.36/6.96 | | | | | | | | | | | (722) $false
% 42.36/6.96 | | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | | CLOSE: (722) is inconsistent.
% 42.36/6.96 | | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | Case 2:
% 42.36/6.96 | | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | | (723) all_25_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 42.36/6.96 | | | | | | | | | | | [v2: any] : (unorthogonal_lines(all_25_2,
% 42.36/6.96 | | | | | | | | | | | all_25_2) = v2 &
% 42.36/6.96 | | | | | | | | | | | apart_point_and_line(all_58_1, all_25_3) = v1 &
% 42.36/6.96 | | | | | | | | | | | distinct_lines(all_25_3, all_25_2) = v0 & ( ~
% 42.36/6.96 | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0))
% 42.36/6.96 | | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | | BETA: splitting (622) gives:
% 42.36/6.96 | | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | | Case 1:
% 42.36/6.96 | | | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | | | (724) all_58_0 = 0
% 42.36/6.96 | | | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | | | REDUCE: (123), (724) imply:
% 42.36/6.96 | | | | | | | | | | | | (725) $false
% 42.36/6.96 | | | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | | | CLOSE: (725) is inconsistent.
% 42.36/6.96 | | | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | | Case 2:
% 42.36/6.96 | | | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | | | (726) all_25_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 42.36/6.96 | | | | | | | | | | | | [v2: any] : (unorthogonal_lines(all_25_3,
% 42.36/6.96 | | | | | | | | | | | | all_25_2) = v2 &
% 42.36/6.96 | | | | | | | | | | | | apart_point_and_line(all_58_1, all_25_3) = v1 &
% 42.36/6.96 | | | | | | | | | | | | distinct_lines(all_25_3, all_25_3) = v0 & ( ~
% 42.36/6.96 | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0))
% 42.36/6.96 | | | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | | | BETA: splitting (633) gives:
% 42.36/6.96 | | | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | | | Case 1:
% 42.36/6.96 | | | | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | | | | (727) all_60_0 = 0
% 42.36/6.96 | | | | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | | | | REDUCE: (127), (727) imply:
% 42.36/6.96 | | | | | | | | | | | | | (728) $false
% 42.36/6.96 | | | | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | | | | CLOSE: (728) is inconsistent.
% 42.36/6.96 | | | | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | | | Case 2:
% 42.36/6.96 | | | | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | | | | (729) all_58_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 42.36/6.96 | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 42.36/6.96 | | | | | | | | | | | | | (apart_point_and_line(all_58_1, all_25_2) = v2 &
% 42.36/6.96 | | | | | | | | | | | | | apart_point_and_line(all_58_1, all_25_3) = v3 &
% 42.36/6.96 | | | | | | | | | | | | | distinct_lines(all_25_2, all_25_3) = v1 &
% 42.36/6.96 | | | | | | | | | | | | | distinct_points(all_58_1, all_58_1) = v0 & ( ~
% 42.36/6.96 | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 42.36/6.96 | | | | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | | | | BETA: splitting (631) gives:
% 42.36/6.96 | | | | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | | | | Case 1:
% 42.36/6.96 | | | | | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | | | | | (730) all_60_0 = 0
% 42.36/6.96 | | | | | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | | | | | REDUCE: (127), (730) imply:
% 42.36/6.96 | | | | | | | | | | | | | | (731) $false
% 42.36/6.96 | | | | | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | | | | | CLOSE: (731) is inconsistent.
% 42.36/6.96 | | | | | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | | | | Case 2:
% 42.36/6.96 | | | | | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | | | | | (732) all_58_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 42.36/6.96 | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 42.36/6.96 | | | | | | | | | | | | | | (apart_point_and_line(all_58_1, all_25_2) = v2 &
% 42.36/6.96 | | | | | | | | | | | | | | apart_point_and_line(all_58_1, all_25_3) = v3 &
% 42.36/6.96 | | | | | | | | | | | | | | distinct_lines(all_25_3, all_25_2) = v1 &
% 42.36/6.96 | | | | | | | | | | | | | | distinct_points(all_58_1, all_58_1) = v0 & ( ~
% 42.36/6.96 | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 42.36/6.96 | | | | | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | | | | | BETA: splitting (630) gives:
% 42.36/6.96 | | | | | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | | | | | Case 1:
% 42.36/6.96 | | | | | | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | | | | | | (733) all_60_0 = 0
% 42.36/6.96 | | | | | | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | | | | | | REDUCE: (127), (733) imply:
% 42.36/6.96 | | | | | | | | | | | | | | | (734) $false
% 42.36/6.96 | | | | | | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | | | | | | CLOSE: (734) is inconsistent.
% 42.36/6.96 | | | | | | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | | | | | Case 2:
% 42.36/6.96 | | | | | | | | | | | | | | |
% 42.36/6.96 | | | | | | | | | | | | | | | (735) all_58_0 = 0 | ? [v0: any] : ? [v1: any] :
% 42.79/6.96 | | | | | | | | | | | | | | | (convergent_lines(all_25_2, all_25_3) = v1 &
% 42.79/6.96 | | | | | | | | | | | | | | | distinct_lines(all_25_2, all_25_3) = v0 & ( ~
% 42.79/6.96 | | | | | | | | | | | | | | | (v0 = 0) | v1 = 0))
% 42.79/6.96 | | | | | | | | | | | | | | |
% 42.79/6.96 | | | | | | | | | | | | | | | BETA: splitting (632) gives:
% 42.79/6.96 | | | | | | | | | | | | | | |
% 42.79/6.96 | | | | | | | | | | | | | | | Case 1:
% 42.79/6.96 | | | | | | | | | | | | | | | |
% 42.79/6.96 | | | | | | | | | | | | | | | | (736) all_60_0 = 0
% 42.79/6.96 | | | | | | | | | | | | | | | |
% 42.79/6.96 | | | | | | | | | | | | | | | | REDUCE: (127), (736) imply:
% 42.79/6.96 | | | | | | | | | | | | | | | | (737) $false
% 42.79/6.96 | | | | | | | | | | | | | | | |
% 42.79/6.96 | | | | | | | | | | | | | | | | CLOSE: (737) is inconsistent.
% 42.79/6.96 | | | | | | | | | | | | | | | |
% 42.79/6.96 | | | | | | | | | | | | | | | Case 2:
% 42.79/6.96 | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | (738) all_58_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 42.79/6.97 | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] :
% 42.79/6.97 | | | | | | | | | | | | | | | | (apart_point_and_line(all_58_1, all_25_2) = v3 &
% 42.79/6.97 | | | | | | | | | | | | | | | | apart_point_and_line(all_58_1, all_25_3) = v2 &
% 42.79/6.97 | | | | | | | | | | | | | | | | distinct_lines(all_25_2, all_25_3) = v1 &
% 42.79/6.97 | | | | | | | | | | | | | | | | distinct_points(all_58_1, all_58_1) = v0 & ( ~
% 42.79/6.97 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 42.79/6.97 | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | BETA: splitting (711) gives:
% 42.79/6.97 | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | Case 1:
% 42.79/6.97 | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | (739) all_25_1 = 0
% 42.79/6.97 | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | REDUCE: (32), (739) imply:
% 42.79/6.97 | | | | | | | | | | | | | | | | | (740) $false
% 42.79/6.97 | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | CLOSE: (740) is inconsistent.
% 42.79/6.97 | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | Case 2:
% 42.79/6.97 | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | (741) ? [v0: int] : ( ~ (v0 = 0) &
% 42.79/6.97 | | | | | | | | | | | | | | | | | apart_point_and_line(all_58_1, all_25_4) = v0)
% 42.79/6.97 | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | DELTA: instantiating (741) with fresh symbol all_212_0
% 42.79/6.97 | | | | | | | | | | | | | | | | | gives:
% 42.79/6.97 | | | | | | | | | | | | | | | | | (742) ~ (all_212_0 = 0) &
% 42.79/6.97 | | | | | | | | | | | | | | | | | apart_point_and_line(all_58_1, all_25_4) =
% 42.79/6.97 | | | | | | | | | | | | | | | | | all_212_0
% 42.79/6.97 | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | ALPHA: (742) implies:
% 42.79/6.97 | | | | | | | | | | | | | | | | | (743) ~ (all_212_0 = 0)
% 42.79/6.97 | | | | | | | | | | | | | | | | | (744) apart_point_and_line(all_58_1, all_25_4) =
% 42.79/6.97 | | | | | | | | | | | | | | | | | all_212_0
% 42.79/6.97 | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | BETA: splitting (714) gives:
% 42.79/6.97 | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | Case 1:
% 42.79/6.97 | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | (745) all_58_0 = 0
% 42.79/6.97 | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | REDUCE: (123), (745) imply:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | (746) $false
% 42.79/6.97 | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | CLOSE: (746) is inconsistent.
% 42.79/6.97 | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | Case 2:
% 42.79/6.97 | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | (747) ? [v0: any] : ? [v1: any] :
% 42.79/6.97 | | | | | | | | | | | | | | | | | | (convergent_lines(all_25_3, all_25_2) = v1 &
% 42.79/6.97 | | | | | | | | | | | | | | | | | | distinct_lines(all_25_3, all_25_2) = v0 & ( ~
% 42.79/6.97 | | | | | | | | | | | | | | | | | | (v0 = 0) | v1 = 0))
% 42.79/6.97 | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | DELTA: instantiating (747) with fresh symbols all_217_0,
% 42.79/6.97 | | | | | | | | | | | | | | | | | | all_217_1 gives:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | (748) convergent_lines(all_25_3, all_25_2) = all_217_0 &
% 42.79/6.97 | | | | | | | | | | | | | | | | | | distinct_lines(all_25_3, all_25_2) = all_217_1 & (
% 42.79/6.97 | | | | | | | | | | | | | | | | | | ~ (all_217_1 = 0) | all_217_0 = 0)
% 42.79/6.97 | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | ALPHA: (748) implies:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | (749) convergent_lines(all_25_3, all_25_2) = all_217_0
% 42.79/6.97 | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | BETA: splitting (717) gives:
% 42.79/6.97 | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | Case 1:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | (750) all_58_0 = 0
% 42.79/6.97 | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | REDUCE: (123), (750) imply:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | (751) $false
% 42.79/6.97 | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | CLOSE: (751) is inconsistent.
% 42.79/6.97 | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | Case 2:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | (752) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_58_1,
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | all_25_2) = v3 &
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_58_1, all_25_3) = v2 &
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_3, all_25_2) = v1 &
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | distinct_points(all_58_1, all_58_1) = v0 & ( ~
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 42.79/6.97 | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (752) with fresh symbols all_222_0,
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | all_222_1, all_222_2, all_222_3 gives:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | (753) apart_point_and_line(all_58_1, all_25_2) =
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | all_222_0 & apart_point_and_line(all_58_1,
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | all_25_3) = all_222_1 & distinct_lines(all_25_3,
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | all_25_2) = all_222_2 &
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | distinct_points(all_58_1, all_58_1) = all_222_3 &
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | ( ~ (all_222_2 = 0) | ~ (all_222_3 = 0) |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | all_222_0 = 0 | all_222_1 = 0)
% 42.79/6.97 | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | ALPHA: (753) implies:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | (754) apart_point_and_line(all_58_1, all_25_3) =
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | all_222_1
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | (755) apart_point_and_line(all_58_1, all_25_2) =
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | all_222_0
% 42.79/6.97 | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | BETA: splitting (720) gives:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | Case 1:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | (756) all_25_0 = 0
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (756) imply:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | (757) $false
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | CLOSE: (757) is inconsistent.
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | Case 2:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | (758) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | (unorthogonal_lines(all_25_2, all_25_2) = v2 &
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_58_1, all_25_3) = v1 &
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_2, all_25_3) = v0 & ( ~
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0))
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (758) with fresh symbols all_227_0,
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | all_227_1, all_227_2 gives:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | (759) unorthogonal_lines(all_25_2, all_25_2) = all_227_0
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | & apart_point_and_line(all_58_1, all_25_3) =
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | all_227_1 & distinct_lines(all_25_2, all_25_3) =
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | all_227_2 & ( ~ (all_227_2 = 0) | all_227_0 = 0 |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | all_227_1 = 0)
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | ALPHA: (759) implies:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | (760) distinct_lines(all_25_2, all_25_3) = all_227_2
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | (761) apart_point_and_line(all_58_1, all_25_3) =
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | all_227_1
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | (762) unorthogonal_lines(all_25_2, all_25_2) = all_227_0
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | BETA: splitting (723) gives:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | (763) all_25_0 = 0
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (763) imply:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | (764) $false
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | CLOSE: (764) is inconsistent.
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | (765) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | (unorthogonal_lines(all_25_2, all_25_2) = v2 &
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_58_1, all_25_3) = v1 &
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_3, all_25_2) = v0 & ( ~
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0))
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (765) with fresh symbols all_232_0,
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | all_232_1, all_232_2 gives:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | (766) unorthogonal_lines(all_25_2, all_25_2) = all_232_0
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | & apart_point_and_line(all_58_1, all_25_3) =
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | all_232_1 & distinct_lines(all_25_3, all_25_2) =
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | all_232_2 & ( ~ (all_232_2 = 0) | all_232_0 = 0 |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | all_232_1 = 0)
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | ALPHA: (766) implies:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | (767) apart_point_and_line(all_58_1, all_25_3) =
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | all_232_1
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | (768) unorthogonal_lines(all_25_2, all_25_2) = all_232_0
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (729) gives:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | (769) all_58_0 = 0
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (769) imply:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | (770) $false
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (770) is inconsistent.
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | (771) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_58_1,
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v2 &
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_58_1, all_25_3) = v3 &
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_2, all_25_3) = v1 &
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_58_1, all_58_1) = v0 & ( ~
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (771) with fresh symbols all_237_0,
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | all_237_1, all_237_2, all_237_3 gives:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | (772) apart_point_and_line(all_58_1, all_25_2) =
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | all_237_1 & apart_point_and_line(all_58_1,
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | all_25_3) = all_237_0 & distinct_lines(all_25_2,
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | all_25_3) = all_237_2 &
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_58_1, all_58_1) = all_237_3 &
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_237_2 = 0) | ~ (all_237_3 = 0) |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | all_237_0 = 0 | all_237_1 = 0)
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (772) implies:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | (773) distinct_lines(all_25_2, all_25_3) = all_237_2
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | (774) apart_point_and_line(all_58_1, all_25_3) =
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | all_237_0
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | (775) apart_point_and_line(all_58_1, all_25_2) =
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | all_237_1
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (732) gives:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | (776) all_58_0 = 0
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (776) imply:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | (777) $false
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (777) is inconsistent.
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | (778) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_58_1,
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v2 &
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_58_1, all_25_3) = v3 &
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_3, all_25_2) = v1 &
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_58_1, all_58_1) = v0 & ( ~
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (778) with fresh symbols all_242_0,
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | all_242_1, all_242_2, all_242_3 gives:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | (779) apart_point_and_line(all_58_1, all_25_2) =
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | all_242_1 & apart_point_and_line(all_58_1,
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = all_242_0 & distinct_lines(all_25_3,
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = all_242_2 &
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_58_1, all_58_1) = all_242_3 &
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_242_2 = 0) | ~ (all_242_3 = 0) |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | all_242_0 = 0 | all_242_1 = 0)
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (779) implies:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | (780) apart_point_and_line(all_58_1, all_25_3) =
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | all_242_0
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | (781) apart_point_and_line(all_58_1, all_25_2) =
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | all_242_1
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (735) gives:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | | (782) all_58_0 = 0
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (782) imply:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | | (783) $false
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (783) is inconsistent.
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | | (784) ? [v0: any] : ? [v1: any] :
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | | (convergent_lines(all_25_2, all_25_3) = v1 &
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_2, all_25_3) = v0 & ( ~
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v1 = 0))
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (784) with fresh symbols all_247_0,
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | | all_247_1 gives:
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | | (785) convergent_lines(all_25_2, all_25_3) = all_247_0 &
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_2, all_25_3) = all_247_1 & (
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_247_1 = 0) | all_247_0 = 0)
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.97 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (785) implies:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | (786) distinct_lines(all_25_2, all_25_3) = all_247_1
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | (787) convergent_lines(all_25_2, all_25_3) = all_247_0
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (738) gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (788) all_58_0 = 0
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (788) imply:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (789) $false
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (789) is inconsistent.
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (790) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_58_1,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v3 &
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_58_1, all_25_3) = v2 &
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_2, all_25_3) = v1 &
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_58_1, all_58_1) = v0 & ( ~
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (790) with fresh symbols all_252_0,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_252_1, all_252_2, all_252_3 gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (791) apart_point_and_line(all_58_1, all_25_2) =
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_252_0 & apart_point_and_line(all_58_1,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = all_252_1 & distinct_lines(all_25_2,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = all_252_2 &
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_58_1, all_58_1) = all_252_3 &
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_252_2 = 0) | ~ (all_252_3 = 0) |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_252_0 = 0 | all_252_1 = 0)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (791) implies:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (792) distinct_lines(all_25_2, all_25_3) = all_252_2
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (793) apart_point_and_line(all_58_1, all_25_3) =
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_252_1
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (794) apart_point_and_line(all_58_1, all_25_2) =
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_252_0
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_237_2, all_247_1,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_25_2, simplifying with (773), (786)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (795) all_247_1 = all_237_2
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_247_1, all_252_2,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_25_2, simplifying with (786), (792)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (796) all_252_2 = all_247_1
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_227_2, all_252_2,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_25_2, simplifying with (760), (792)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (797) all_252_2 = all_227_2
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_135_2, all_137_2,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4, all_25_4, simplifying with (647), (651)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (798) all_137_2 = all_135_2
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_137_2, all_149_1,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4, all_25_4, simplifying with (651), (673)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (799) all_149_1 = all_137_2
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_34_3, all_153_1,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4, all_25_4, simplifying with (51), (681)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (800) all_153_1 = all_34_3
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_149_1, all_153_1,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4, all_25_4, simplifying with (673), (681)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (801) all_153_1 = all_149_1
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_32_3, all_149_3,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_25_4, simplifying with (46), (674)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (802) all_149_3 = all_32_3
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_149_3, all_153_3,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_25_4, simplifying with (674), (682)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (803) all_153_3 = all_149_3
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_137_3, all_153_3,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_25_4, simplifying with (652), (682)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (804) all_153_3 = all_137_3
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_135_3, all_153_3,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_25_4, simplifying with (648), (682)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (805) all_153_3 = all_135_3
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_153_3, all_155_3,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_25_4, simplifying with (682), (685)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (806) all_155_3 = all_153_3
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_145_3, all_155_3,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_25_4, simplifying with (664), (685)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (807) all_155_3 = all_145_3
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_133_2, all_141_1,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4, all_25_3, simplifying with (644), (656)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (808) all_141_1 = all_133_2
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_143_0, all_145_0,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4, all_25_3, simplifying with (660), (665)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (809) all_145_0 = all_143_0
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_141_1, all_145_0,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4, all_25_3, simplifying with (656), (665)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (810) all_145_0 = all_141_1
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_74_3, all_147_1,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4, all_25_3, simplifying with (160), (668)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (811) all_147_1 = all_74_3
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_141_1, all_147_1,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4, all_25_3, simplifying with (656), (668)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (812) all_147_1 = all_141_1
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_145_0, all_147_0,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4, all_25_3, simplifying with (665), (669)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (813) all_147_0 = all_145_0
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_147_0, all_149_0,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4, all_25_3, simplifying with (669), (675)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (814) all_149_0 = all_147_0
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_135_0, all_149_0,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4, all_25_3, simplifying with (649), (675)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (815) all_149_0 = all_135_0
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_32_1, all_151_3,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_25_3, simplifying with (48), (678)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (816) all_151_3 = all_32_1
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_143_3, all_151_3,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_25_3, simplifying with (661), (678)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (817) all_151_3 = all_143_3
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_141_3, all_151_3,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_25_3, simplifying with (657), (678)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (818) all_151_3 = all_141_3
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_151_3, all_161_0,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_25_3, simplifying with (678), (691)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (819) all_161_0 = all_151_3
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_147_3, all_161_0,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_25_3, simplifying with (670), (691)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (820) all_161_0 = all_147_3
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with 0, all_217_0, all_25_2,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, simplifying with (67), (749) gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (821) all_217_0 = 0
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_232_1, all_242_0,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_58_1, simplifying with (767), (780)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (822) all_242_0 = all_232_1
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_227_1, all_242_0,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_58_1, simplifying with (761), (780)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (823) all_242_0 = all_227_1
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_222_1, all_242_0,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_58_1, simplifying with (754), (780)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (824) all_242_0 = all_222_1
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_171_0, all_242_0,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_58_1, simplifying with (703), (780)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (825) all_242_0 = all_171_0
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_171_1, all_242_0,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_58_1, simplifying with (702), (780)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (826) all_242_0 = all_171_1
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_58_0, all_252_1,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_58_1, simplifying with (124), (793)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (827) all_252_1 = all_58_0
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_237_0, all_252_1,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_58_1, simplifying with (774), (793)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (828) all_252_1 = all_237_0
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_171_0, all_252_1,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_58_1, simplifying with (703), (793)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (829) all_252_1 = all_171_0
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_166_0, all_237_1,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_58_1, simplifying with (697), (775)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (830) all_237_1 = all_166_0
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_166_1, all_237_1,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_58_1, simplifying with (696), (775)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (831) all_237_1 = all_166_1
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_60_0, all_242_1,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_58_1, simplifying with (614), (781)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (832) all_242_1 = all_60_0
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_242_1, all_252_0,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_58_1, simplifying with (781), (794)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (833) all_252_0 = all_242_1
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_222_0, all_252_0,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_58_1, simplifying with (755), (794)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (834) all_252_0 = all_222_0
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_166_0, all_252_0,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_58_1, simplifying with (697), (794)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (835) all_252_0 = all_166_0
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_149_2, all_25_3,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4, simplifying with (38), (676) gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (836) all_149_2 = 0
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_149_2, all_153_2,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_25_4, simplifying with (676), (683)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (837) all_153_2 = all_149_2
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_153_2, all_155_2,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_25_4, simplifying with (683), (686)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (838) all_155_2 = all_153_2
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_145_2, all_155_2,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_25_4, simplifying with (666), (686)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (839) all_155_2 = all_145_2
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_32_0, all_143_2,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_25_3, simplifying with (49), (662)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (840) all_143_2 = all_32_0
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_143_2, all_147_2,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_25_3, simplifying with (662), (671)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (841) all_147_2 = all_143_2
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_147_2, all_151_2,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_25_3, simplifying with (671), (679)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (842) all_151_2 = all_147_2
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_141_2, all_151_2,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_25_3, simplifying with (658), (679)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (843) all_151_2 = all_141_2
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_25_0, all_139_3,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_25_3, simplifying with (39), (654)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (844) all_139_3 = all_25_0
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_133_3, all_139_3,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_25_3, simplifying with (645), (654)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (845) all_139_3 = all_133_3
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_227_0, all_232_0,
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_25_2, simplifying with (762), (768)
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (846) all_232_0 = all_227_0
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (833), (834) imply:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (847) all_242_1 = all_222_0
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (847) implies:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (848) all_242_1 = all_222_0
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (834), (835) imply:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (849) all_222_0 = all_166_0
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (827), (828) imply:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (850) all_237_0 = all_58_0
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (828), (829) imply:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (851) all_237_0 = all_171_0
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (796), (797) imply:
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | (852) all_247_1 = all_227_2
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (852) implies:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (853) all_247_1 = all_227_2
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (795), (853) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (854) all_237_2 = all_227_2
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (854) implies:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (855) all_237_2 = all_227_2
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (822), (824) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (856) all_232_1 = all_222_1
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (822), (823) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (857) all_232_1 = all_227_1
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (822), (826) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (858) all_232_1 = all_171_1
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (822), (825) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (859) all_232_1 = all_171_0
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (832), (848) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (860) all_222_0 = all_60_0
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (860) implies:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (861) all_222_0 = all_60_0
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (850), (851) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (862) all_171_0 = all_58_0
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (862) implies:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (863) all_171_0 = all_58_0
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (830), (831) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (864) all_166_0 = all_166_1
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (864) implies:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (865) all_166_0 = all_166_1
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (857), (859) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (866) all_227_1 = all_171_0
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (857), (858) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (867) all_227_1 = all_171_1
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (856), (857) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (868) all_227_1 = all_222_1
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (867), (868) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (869) all_222_1 = all_171_1
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (866), (868) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (870) all_222_1 = all_171_0
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (849), (861) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (871) all_166_0 = all_60_0
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (871) implies:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (872) all_166_0 = all_60_0
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (869), (870) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (873) all_171_0 = all_171_1
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (873) implies:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (874) all_171_0 = all_171_1
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (863), (874) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (875) all_171_1 = all_58_0
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (865), (872) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (876) all_166_1 = all_60_0
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (876) implies:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (877) all_166_1 = all_60_0
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (819), (820) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (878) all_151_3 = all_147_3
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (878) implies:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (879) all_151_3 = all_147_3
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (838), (839) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (880) all_153_2 = all_145_2
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (880) implies:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (881) all_153_2 = all_145_2
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (806), (807) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (882) all_153_3 = all_145_3
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (882) implies:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (883) all_153_3 = all_145_3
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (800), (801) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (884) all_149_1 = all_34_3
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (884) implies:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (885) all_149_1 = all_34_3
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (837), (881) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (886) all_149_2 = all_145_2
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (886) implies:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (887) all_149_2 = all_145_2
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (803), (883) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (888) all_149_3 = all_145_3
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (888) implies:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (889) all_149_3 = all_145_3
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (804), (883) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (890) all_145_3 = all_137_3
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (805), (883) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (891) all_145_3 = all_135_3
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (842), (843) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (892) all_147_2 = all_141_2
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (892) implies:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (893) all_147_2 = all_141_2
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (816), (879) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (894) all_147_3 = all_32_1
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (818), (879) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (895) all_147_3 = all_141_3
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (817), (879) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (896) all_147_3 = all_143_3
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (814), (815) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (897) all_147_0 = all_135_0
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (897) implies:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (898) all_147_0 = all_135_0
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (799), (885) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (899) all_137_2 = all_34_3
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (899) implies:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (900) all_137_2 = all_34_3
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (836), (887) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (901) all_145_2 = 0
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (802), (889) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (902) all_145_3 = all_32_3
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (902) implies:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (903) all_145_3 = all_32_3
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (813), (898) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (904) all_145_0 = all_135_0
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (904) implies:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (905) all_145_0 = all_135_0
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (811), (812) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (906) all_141_1 = all_74_3
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (906) implies:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (907) all_141_1 = all_74_3
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (841), (893) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (908) all_143_2 = all_141_2
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (908) implies:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (909) all_143_2 = all_141_2
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (894), (896) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (910) all_143_3 = all_32_1
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (895), (896) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (911) all_143_3 = all_141_3
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (809), (810) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (912) all_143_0 = all_141_1
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (809), (905) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (913) all_143_0 = all_135_0
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (890), (891) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (914) all_137_3 = all_135_3
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (890), (903) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (915) all_137_3 = all_32_3
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (912), (913) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (916) all_141_1 = all_135_0
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (916) implies:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (917) all_141_1 = all_135_0
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (840), (909) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (918) all_141_2 = all_32_0
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (910), (911) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (919) all_141_3 = all_32_1
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (808), (917) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (920) all_135_0 = all_133_2
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (907), (917) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (921) all_135_0 = all_74_3
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (844), (845) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (922) all_133_3 = all_25_0
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (798), (900) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (923) all_135_2 = all_34_3
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (923) implies:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (924) all_135_2 = all_34_3
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (914), (915) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (925) all_135_3 = all_32_3
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (925) implies:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (926) all_135_3 = all_32_3
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (920), (921) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (927) all_133_2 = all_74_3
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (927) implies:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | (928) all_133_2 = all_74_3
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (726) gives:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (929) all_25_0 = 0
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (929) imply:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (930) $false
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (930) is inconsistent.
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (931) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (unorthogonal_lines(all_25_3, all_25_2) = v2 &
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_58_1, all_25_3) = v1 &
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_3, all_25_3) = v0 & ( ~
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0))
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (931) with fresh symbols all_262_0,
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_262_1, all_262_2 gives:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (932) unorthogonal_lines(all_25_3, all_25_2) = all_262_0
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | & apart_point_and_line(all_58_1, all_25_3) =
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_262_1 & distinct_lines(all_25_3, all_25_3) =
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_262_2 & ( ~ (all_262_2 = 0) | all_262_0 = 0 |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_262_1 = 0)
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (932) implies:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (933) apart_point_and_line(all_58_1, all_25_3) =
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_262_1
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (934) unorthogonal_lines(all_25_3, all_25_2) = all_262_0
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_58_0, all_262_1,
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_58_1, simplifying with (124), (933)
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (935) all_262_1 = all_58_0
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_25_0, all_262_0,
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_25_3, simplifying with (39), (934)
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (936) all_262_0 = all_25_0
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_25_3, all_25_2,
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_227_2, simplifying with (35), (36),
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (67), (760) gives:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (937) all_227_2 = 0 | convergent_lines(all_25_3,
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = 0
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_25_3, all_25_2,
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_247_0, simplifying with (35), (36),
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (67), (787) gives:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (938) all_247_0 = 0 | convergent_lines(all_25_3,
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = 0
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_25_3, all_25_2,
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_247_0, simplifying with (35), (36),
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (67), (787) gives:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (939) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (unorthogonal_lines(all_25_2,
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v3 & unorthogonal_lines(all_25_3,
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v0 & unorthogonal_lines(all_25_3,
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v2 & convergent_lines(all_25_3,
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v1 & ( ~ (v0 = 0) | (v3 = 0 &
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_247_0 = 0) | (v2 = 0 & v1 = 0)))
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_25_3, all_25_2,
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_32_1, all_247_0, simplifying with
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (35), (36), (48), (787) gives:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (940) all_247_0 = 0 | all_32_1 = 0 | ? [v0: int] : ( ~
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) & convergent_lines(all_25_3, all_25_2)
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | = v0)
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_25_4, all_25_2,
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_32_3, all_247_0, simplifying with
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (34), (35), (36), (46), (787) gives:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (941) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (unorthogonal_lines(all_25_2,
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v3 & unorthogonal_lines(all_25_4,
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v1 & unorthogonal_lines(all_25_4,
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v2 & convergent_lines(all_25_4,
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (v3 = 0 & all_247_0 = 0) | (v2 = 0 & all_32_3
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | = 0)))
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_25_2, all_25_4,
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_247_0, all_32_3, simplifying with
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (34), (35), (36), (46), (787) gives:
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (942) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (unorthogonal_lines(all_25_2,
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v2 & unorthogonal_lines(all_25_2,
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4) = v1 & unorthogonal_lines(all_25_4,
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v3 & convergent_lines(all_25_2,
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (v3 = 0 & all_32_3 = 0) | (v2 = 0 & all_247_0
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | = 0)))
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_25_2, all_25_2,
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_247_0, all_247_0, simplifying with
% 42.79/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (35), (36), (787) gives:
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (943) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (unorthogonal_lines(all_25_2,
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v1 & unorthogonal_lines(all_25_2,
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v3 & unorthogonal_lines(all_25_2,
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v2 & convergent_lines(all_25_2,
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) |
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (v3 = 0 & all_247_0 = 0) | (v2 = 0 & all_247_0
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | = 0)))
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_25_2, all_25_3,
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_247_0, all_32_0, simplifying with
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (35), (36), (49), (787) gives:
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (944) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (unorthogonal_lines(all_25_2,
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v2 & unorthogonal_lines(all_25_2,
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v1 & convergent_lines(all_25_2,
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v0 & convergent_lines(all_25_3,
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v3 & ( ~ (v1 = 0) | ~ (v0 = 0) |
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (v3 = 0 & all_32_0 = 0) | (v2 = 0 & all_247_0
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | = 0)))
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (21) with all_25_3, all_25_2,
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_32_0, all_247_0, simplifying with
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (35), (36), (49), (787) gives:
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (945) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (unorthogonal_lines(all_25_2,
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v3 & unorthogonal_lines(all_25_3,
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v1 & convergent_lines(all_25_3,
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v0 & convergent_lines(all_25_3,
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) |
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (v3 = 0 & all_247_0 = 0) | (v2 = 0 & all_32_0
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | = 0)))
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_25_2, all_25_4,
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_247_0, 0, simplifying with (34),
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (35), (36), (38), (787) gives:
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (946) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (unorthogonal_lines(all_25_2,
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v2 & unorthogonal_lines(all_25_2,
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4) = v1 & convergent_lines(all_25_2,
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4) = v0 & convergent_lines(all_25_4,
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v3 & ( ~ (v1 = 0) | ~ (v0 = 0) |
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | v3 = 0 | (v2 = 0 & all_247_0 = 0)))
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (21) with all_25_4, all_25_2,
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, 0, all_247_0, simplifying with (34),
% 42.79/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (35), (36), (38), (787) gives:
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (947) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (unorthogonal_lines(all_25_2,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v3 & unorthogonal_lines(all_25_4,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v1 & convergent_lines(all_25_4,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v0 & convergent_lines(all_25_4,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) |
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | v2 = 0 | (v3 = 0 & all_247_0 = 0)))
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_25_2, all_25_4,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_176_0, all_36_2, simplifying with
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (34), (36), (57), (708) gives:
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (948) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (unorthogonal_lines(all_25_2,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v2 & unorthogonal_lines(all_25_2,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4) = v1 & unorthogonal_lines(all_25_4,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v3 & convergent_lines(all_25_2,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) |
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (v3 = 0 & all_36_2 = 0) | (v2 = 0 & all_176_0
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | = 0)))
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_25_2, all_25_4,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_25_1, all_176_0, simplifying with
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (34), (36), (37), (708) gives:
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (949) all_176_0 = 0 | all_25_1 = 0 | ? [v0: int] : ( ~
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) & convergent_lines(all_25_2, all_25_4)
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | = v0)
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_25_2, all_25_4,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_176_0, all_36_1, simplifying with
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (34), (36), (59), (708) gives:
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (950) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (unorthogonal_lines(all_25_2,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v2 & unorthogonal_lines(all_25_2,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4) = v1 & convergent_lines(all_25_2,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4) = v0 & convergent_lines(all_25_4,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v3 & ( ~ (v1 = 0) | ~ (v0 = 0) |
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (v3 = 0 & all_36_1 = 0) | (v2 = 0 & all_176_0
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | = 0)))
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_58_1, all_25_2,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4, all_60_0, all_212_0, simplifying with
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (34), (36), (614), (615), (744) gives:
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (951) all_212_0 = 0 | all_60_0 = 0 | ? [v0: any] : ?
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | [v1: any] : (convergent_lines(all_25_2, all_25_4)
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | = v1 & distinct_lines(all_25_2, all_25_4) = v0 &
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | v1 = 0))
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_58_1, all_25_3,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4, all_58_0, all_212_0, simplifying with
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (34), (35), (124), (615), (744) gives:
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (952) all_212_0 = 0 | all_58_0 = 0 | ? [v0: any] : ?
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | [v1: any] : (convergent_lines(all_25_3, all_25_4)
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | = v1 & distinct_lines(all_25_3, all_25_4) = v0 &
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | v1 = 0))
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_25_2, all_25_3,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_227_0, all_25_0, simplifying with
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (35), (36), (39), (762) gives:
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (953) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (unorthogonal_lines(all_25_2,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v1 & convergent_lines(all_25_2,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v2 & convergent_lines(all_25_2,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v0 & convergent_lines(all_25_3,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v3 & ( ~ (v1 = 0) | ~ (v0 = 0) |
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (v3 = 0 & all_25_0 = 0) | (v2 = 0 & all_227_0
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | = 0)))
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_25_2, all_25_4,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_227_0, all_36_1, simplifying with
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (34), (36), (59), (762) gives:
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (954) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (unorthogonal_lines(all_25_2,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4) = v1 & convergent_lines(all_25_2,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v2 & convergent_lines(all_25_2,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4) = v0 & convergent_lines(all_25_4,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v3 & ( ~ (v1 = 0) | ~ (v0 = 0) |
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (v3 = 0 & all_36_1 = 0) | (v2 = 0 & all_227_0
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | = 0)))
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (21) with all_25_2, all_25_3,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_227_0, 0, simplifying with (35),
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (36), (67), (762) gives:
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (955) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (unorthogonal_lines(all_25_2,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v1 & unorthogonal_lines(all_25_3,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v3 & convergent_lines(all_25_2,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v2 & convergent_lines(all_25_2,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) |
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | v3 = 0 | (v2 = 0 & all_227_0 = 0)))
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (21) with all_25_2, all_25_4,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_227_0, all_36_2, simplifying with
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (34), (36), (57), (762) gives:
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (956) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (unorthogonal_lines(all_25_2,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4) = v1 & unorthogonal_lines(all_25_4,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v3 & convergent_lines(all_25_2,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v2 & convergent_lines(all_25_2,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) |
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (v3 = 0 & all_36_2 = 0) | (v2 = 0 & all_227_0
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | = 0)))
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (955) with fresh symbols all_277_0,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_277_1, all_277_2, all_277_3 gives:
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (957) unorthogonal_lines(all_25_2, all_25_3) = all_277_2
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | & unorthogonal_lines(all_25_3, all_25_2) =
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_277_0 & convergent_lines(all_25_2, all_25_2) =
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_277_1 & convergent_lines(all_25_2, all_25_3) =
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_277_3 & ( ~ (all_277_2 = 0) | ~ (all_277_3 =
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | all_277_0 = 0 | (all_277_1 = 0 &
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_227_0 = 0))
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (957) implies:
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (958) convergent_lines(all_25_2, all_25_2) = all_277_1
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (947) with fresh symbols all_281_0,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_281_1, all_281_2, all_281_3 gives:
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (959) unorthogonal_lines(all_25_2, all_25_3) = all_281_0
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | & unorthogonal_lines(all_25_4, all_25_2) =
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_281_2 & convergent_lines(all_25_4, all_25_2) =
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_281_3 & convergent_lines(all_25_4, all_25_3) =
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_281_1 & ( ~ (all_281_2 = 0) | ~ (all_281_3 =
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | all_281_1 = 0 | (all_281_0 = 0 &
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_247_0 = 0))
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (959) implies:
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (960) convergent_lines(all_25_4, all_25_2) = all_281_3
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (939) with fresh symbols all_283_0,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_283_1, all_283_2, all_283_3 gives:
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (961) unorthogonal_lines(all_25_2, all_25_3) = all_283_0
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | & unorthogonal_lines(all_25_3, all_25_2) =
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_283_3 & unorthogonal_lines(all_25_3, all_25_3)
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_283_1 & convergent_lines(all_25_3, all_25_3)
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_283_2 & ( ~ (all_283_3 = 0) | (all_283_0 = 0
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_247_0 = 0) | (all_283_1 = 0 & all_283_2
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | = 0))
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (961) implies:
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (962) convergent_lines(all_25_3, all_25_3) = all_283_2
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (946) with fresh symbols all_285_0,
% 42.93/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_285_1, all_285_2, all_285_3 gives:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (963) unorthogonal_lines(all_25_2, all_25_3) = all_285_1
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | & unorthogonal_lines(all_25_2, all_25_4) =
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_285_2 & convergent_lines(all_25_2, all_25_4) =
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_285_3 & convergent_lines(all_25_4, all_25_3) =
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_285_0 & ( ~ (all_285_2 = 0) | ~ (all_285_3 =
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | all_285_0 = 0 | (all_285_1 = 0 &
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_247_0 = 0))
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (963) implies:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (964) convergent_lines(all_25_2, all_25_4) = all_285_3
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (943) with fresh symbols all_287_0,
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_287_1, all_287_2, all_287_3 gives:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (965) unorthogonal_lines(all_25_2, all_25_2) = all_287_2
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | & unorthogonal_lines(all_25_2, all_25_3) =
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_287_0 & unorthogonal_lines(all_25_2, all_25_3)
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_287_1 & convergent_lines(all_25_2, all_25_2)
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_287_3 & ( ~ (all_287_2 = 0) | ~ (all_287_3
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | (all_287_0 = 0 & all_247_0 = 0) |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_287_1 = 0 & all_247_0 = 0))
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (965) implies:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (966) convergent_lines(all_25_2, all_25_2) = all_287_3
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (941) with fresh symbols all_289_0,
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_289_1, all_289_2, all_289_3 gives:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (967) unorthogonal_lines(all_25_2, all_25_3) = all_289_0
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | & unorthogonal_lines(all_25_4, all_25_2) =
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_289_2 & unorthogonal_lines(all_25_4, all_25_3)
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_289_1 & convergent_lines(all_25_4, all_25_2)
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_289_3 & ( ~ (all_289_2 = 0) | ~ (all_289_3
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | (all_289_0 = 0 & all_247_0 = 0) |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_289_1 = 0 & all_32_3 = 0))
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (967) implies:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (968) convergent_lines(all_25_4, all_25_2) = all_289_3
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (954) with fresh symbols all_293_0,
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_293_1, all_293_2, all_293_3 gives:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (969) unorthogonal_lines(all_25_2, all_25_4) = all_293_2
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | & convergent_lines(all_25_2, all_25_2) = all_293_1
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | & convergent_lines(all_25_2, all_25_4) = all_293_3
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | & convergent_lines(all_25_4, all_25_2) = all_293_0
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_293_2 = 0) | ~ (all_293_3 = 0) |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_293_0 = 0 & all_36_1 = 0) | (all_293_1 = 0
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_227_0 = 0))
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (969) implies:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (970) convergent_lines(all_25_4, all_25_2) = all_293_0
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (971) convergent_lines(all_25_2, all_25_4) = all_293_3
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (972) convergent_lines(all_25_2, all_25_2) = all_293_1
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (953) with fresh symbols all_295_0,
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_295_1, all_295_2, all_295_3 gives:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (973) unorthogonal_lines(all_25_2, all_25_3) = all_295_2
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | & convergent_lines(all_25_2, all_25_2) = all_295_1
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | & convergent_lines(all_25_2, all_25_3) = all_295_3
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | & convergent_lines(all_25_3, all_25_2) = all_295_0
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_295_2 = 0) | ~ (all_295_3 = 0) |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_295_0 = 0 & all_25_0 = 0) | (all_295_1 = 0
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_227_0 = 0))
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (973) implies:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (974) convergent_lines(all_25_2, all_25_2) = all_295_1
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (950) with fresh symbols all_297_0,
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_297_1, all_297_2, all_297_3 gives:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (975) unorthogonal_lines(all_25_2, all_25_2) = all_297_1
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | & unorthogonal_lines(all_25_2, all_25_4) =
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_297_2 & convergent_lines(all_25_2, all_25_4) =
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_297_3 & convergent_lines(all_25_4, all_25_2) =
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_297_0 & ( ~ (all_297_2 = 0) | ~ (all_297_3 =
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | (all_297_0 = 0 & all_36_1 = 0) |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_297_1 = 0 & all_176_0 = 0))
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (975) implies:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (976) convergent_lines(all_25_4, all_25_2) = all_297_0
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (977) convergent_lines(all_25_2, all_25_4) = all_297_3
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (948) with fresh symbols all_301_0,
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_301_1, all_301_2, all_301_3 gives:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (978) unorthogonal_lines(all_25_2, all_25_2) = all_301_1
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | & unorthogonal_lines(all_25_2, all_25_4) =
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_301_2 & unorthogonal_lines(all_25_4, all_25_2)
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_301_0 & convergent_lines(all_25_2, all_25_4)
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_301_3 & ( ~ (all_301_2 = 0) | ~ (all_301_3
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | (all_301_0 = 0 & all_36_2 = 0) |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_301_1 = 0 & all_176_0 = 0))
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (978) implies:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (979) convergent_lines(all_25_2, all_25_4) = all_301_3
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (942) with fresh symbols all_303_0,
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_303_1, all_303_2, all_303_3 gives:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (980) unorthogonal_lines(all_25_2, all_25_3) = all_303_1
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | & unorthogonal_lines(all_25_2, all_25_4) =
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_303_2 & unorthogonal_lines(all_25_4, all_25_3)
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_303_0 & convergent_lines(all_25_2, all_25_4)
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_303_3 & ( ~ (all_303_2 = 0) | ~ (all_303_3
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | (all_303_0 = 0 & all_32_3 = 0) |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_303_1 = 0 & all_247_0 = 0))
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (980) implies:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (981) convergent_lines(all_25_2, all_25_4) = all_303_3
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (945) with fresh symbols all_307_0,
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_307_1, all_307_2, all_307_3 gives:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (982) unorthogonal_lines(all_25_2, all_25_3) = all_307_0
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | & unorthogonal_lines(all_25_3, all_25_2) =
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_307_2 & convergent_lines(all_25_3, all_25_2) =
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_307_3 & convergent_lines(all_25_3, all_25_3) =
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_307_1 & ( ~ (all_307_2 = 0) | ~ (all_307_3 =
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | (all_307_0 = 0 & all_247_0 = 0) |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_307_1 = 0 & all_32_0 = 0))
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (982) implies:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (983) convergent_lines(all_25_3, all_25_3) = all_307_1
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (944) with fresh symbols all_309_0,
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_309_1, all_309_2, all_309_3 gives:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (984) unorthogonal_lines(all_25_2, all_25_3) = all_309_1
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | & unorthogonal_lines(all_25_2, all_25_3) =
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_309_2 & convergent_lines(all_25_2, all_25_3) =
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_309_3 & convergent_lines(all_25_3, all_25_3) =
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_309_0 & ( ~ (all_309_2 = 0) | ~ (all_309_3 =
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | (all_309_0 = 0 & all_32_0 = 0) |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_309_1 = 0 & all_247_0 = 0))
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (984) implies:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (985) convergent_lines(all_25_3, all_25_3) = all_309_0
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (956) with fresh symbols all_311_0,
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_311_1, all_311_2, all_311_3 gives:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (986) unorthogonal_lines(all_25_2, all_25_4) = all_311_2
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | & unorthogonal_lines(all_25_4, all_25_2) =
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_311_0 & convergent_lines(all_25_2, all_25_2) =
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_311_1 & convergent_lines(all_25_2, all_25_4) =
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_311_3 & ( ~ (all_311_2 = 0) | ~ (all_311_3 =
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | (all_311_0 = 0 & all_36_2 = 0) |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_311_1 = 0 & all_227_0 = 0))
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (986) implies:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (987) convergent_lines(all_25_2, all_25_4) = all_311_3
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (988) convergent_lines(all_25_2, all_25_2) = all_311_1
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (952) gives:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (989) all_212_0 = 0
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (989) imply:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (990) $false
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (990) is inconsistent.
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (991) all_58_0 = 0 | ? [v0: any] : ? [v1: any] :
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (convergent_lines(all_25_3, all_25_4) = v1 &
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_3, all_25_4) = v0 & ( ~
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v1 = 0))
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (951) gives:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (992) all_212_0 = 0
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (992) imply:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (993) $false
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (993) is inconsistent.
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (994) all_60_0 = 0 | ? [v0: any] : ? [v1: any] :
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (convergent_lines(all_25_2, all_25_4) = v1 &
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_2, all_25_4) = v0 & ( ~
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v1 = 0))
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (991) gives:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (995) all_58_0 = 0
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (995) imply:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (996) $false
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (996) is inconsistent.
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (997) ? [v0: any] : ? [v1: any] :
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (convergent_lines(all_25_3, all_25_4) = v1 &
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_3, all_25_4) = v0 & ( ~
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v1 = 0))
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (997) with fresh symbols all_366_0,
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_366_1 gives:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (998) convergent_lines(all_25_3, all_25_4) = all_366_0 &
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_3, all_25_4) = all_366_1 & (
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_366_1 = 0) | all_366_0 = 0)
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (998) implies:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (999) convergent_lines(all_25_3, all_25_4) = all_366_0
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (994) gives:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1000) all_60_0 = 0
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (1000) imply:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1001) $false
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1001) is inconsistent.
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1002) ? [v0: any] : ? [v1: any] :
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (convergent_lines(all_25_2, all_25_4) = v1 &
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_2, all_25_4) = v0 & ( ~
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v1 = 0))
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1002) with fresh symbols all_386_0,
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_386_1 gives:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1003) convergent_lines(all_25_2, all_25_4) = all_386_0 &
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_2, all_25_4) = all_386_1 & (
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_386_1 = 0) | all_386_0 = 0)
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1003) implies:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1004) convergent_lines(all_25_2, all_25_4) = all_386_0
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_36_2, all_293_0,
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_25_4, simplifying with (57), (970)
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1005) all_293_0 = all_36_2
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_289_3, all_293_0,
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_25_4, simplifying with (968), (970)
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1006) all_293_0 = all_289_3
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_293_0, all_297_0,
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_25_4, simplifying with (970), (976)
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1007) all_297_0 = all_293_0
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_281_3, all_297_0,
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_25_4, simplifying with (960), (976)
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1008) all_297_0 = all_281_3
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_74_3, all_366_0,
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4, all_25_3, simplifying with (160), (999)
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1009) all_366_0 = all_74_3
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_32_1, all_307_1,
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_25_3, simplifying with (48), (983)
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1010) all_307_1 = all_32_1
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_307_1, all_309_0,
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_25_3, simplifying with (983), (985)
% 42.93/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1011) all_309_0 = all_307_1
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_283_2, all_309_0,
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_25_3, simplifying with (962), (985)
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1012) all_309_0 = all_283_2
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_285_3, all_297_3,
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4, all_25_2, simplifying with (964), (977)
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1013) all_297_3 = all_285_3
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_297_3, all_301_3,
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4, all_25_2, simplifying with (977), (979)
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1014) all_301_3 = all_297_3
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_301_3, all_303_3,
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4, all_25_2, simplifying with (979), (981)
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1015) all_303_3 = all_301_3
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_303_3, all_311_3,
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4, all_25_2, simplifying with (981), (987)
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1016) all_311_3 = all_303_3
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_311_3, all_386_0,
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4, all_25_2, simplifying with (987), (1004)
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1017) all_386_0 = all_311_3
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_293_3, all_386_0,
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4, all_25_2, simplifying with (971), (1004)
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1018) all_386_0 = all_293_3
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_287_3, all_293_1,
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_25_2, simplifying with (966), (972)
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1019) all_293_1 = all_287_3
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_287_3, all_295_1,
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_25_2, simplifying with (966), (974)
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1020) all_295_1 = all_287_3
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_277_1, all_295_1,
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_25_2, simplifying with (958), (974)
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1021) all_295_1 = all_277_1
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_176_0, all_311_1,
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_25_2, simplifying with (708), (988)
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1022) all_311_1 = all_176_0
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_293_1, all_311_1,
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_25_2, simplifying with (972), (988)
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1023) all_311_1 = all_293_1
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1017), (1018) imply:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1024) all_311_3 = all_293_3
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1024) implies:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1025) all_311_3 = all_293_3
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1022), (1023) imply:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1026) all_293_1 = all_176_0
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1026) implies:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1027) all_293_1 = all_176_0
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1016), (1025) imply:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1028) all_303_3 = all_293_3
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1028) implies:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1029) all_303_3 = all_293_3
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1011), (1012) imply:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1030) all_307_1 = all_283_2
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1030) implies:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1031) all_307_1 = all_283_2
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1010), (1031) imply:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1032) all_283_2 = all_32_1
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1032) implies:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1033) all_283_2 = all_32_1
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1015), (1029) imply:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1034) all_301_3 = all_293_3
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1034) implies:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1035) all_301_3 = all_293_3
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1014), (1035) imply:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1036) all_297_3 = all_293_3
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1036) implies:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1037) all_297_3 = all_293_3
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1007), (1008) imply:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1038) all_293_0 = all_281_3
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1038) implies:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1039) all_293_0 = all_281_3
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1013), (1037) imply:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1040) all_293_3 = all_285_3
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1020), (1021) imply:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1041) all_287_3 = all_277_1
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1041) implies:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1042) all_287_3 = all_277_1
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1005), (1006) imply:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1043) all_289_3 = all_36_2
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1006), (1039) imply:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1044) all_289_3 = all_281_3
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1019), (1027) imply:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1045) all_287_3 = all_176_0
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1045) implies:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1046) all_287_3 = all_176_0
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1043), (1044) imply:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1047) all_281_3 = all_36_2
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1047) implies:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1048) all_281_3 = all_36_2
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1042), (1046) imply:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1049) all_277_1 = all_176_0
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (60) gives:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1050) ~ (all_36_3 = 0)
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (85), (1050) imply:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1051) ~ (all_32_3 = 0)
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (66) gives:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1052) ~ (all_38_2 = 0)
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (1052) imply:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1053) ~ (all_32_0 = 0)
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (121) gives:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1054) convergent_lines(all_25_3, all_25_3) = 0
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (apart3) with all_25_3, simplifying
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | with (35), (1054) gives:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1055) $false
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1055) is inconsistent.
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1056) all_32_0 = 0
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1053), (1056) imply:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1057) $false
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1057) is inconsistent.
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1058) all_38_2 = 0
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1059) ~ (all_38_3 = 0) | (all_38_0 = 0 & all_25_0 = 0)
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_38_1 = 0 & all_25_0 = 0)
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (76), (1058) imply:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1060) all_32_0 = 0
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (1060) imply:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1061) all_64_2 = 0
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (141) gives:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1062) ~ (all_64_2 = 0)
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1061), (1062) imply:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1063) $false
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1063) is inconsistent.
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1064) ~ (all_64_3 = 0) | all_64_0 = 0 | all_64_1 = 0
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1059) gives:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1065) ~ (all_38_3 = 0)
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (1065) imply:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1066) ~ (all_32_1 = 0)
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1067) all_32_1 = 0
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1066), (1067) imply:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1068) $false
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1068) is inconsistent.
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1069) all_32_3 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | convergent_lines(all_25_3, all_25_4) = v0)
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1069) gives:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1070) all_32_3 = 0
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1051), (1070) imply:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1071) $false
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1071) is inconsistent.
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1072) ? [v0: int] : ( ~ (v0 = 0) &
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | convergent_lines(all_25_3, all_25_4) = v0)
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1072) with fresh symbol all_489_0
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1073) ~ (all_489_0 = 0) & convergent_lines(all_25_3,
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4) = all_489_0
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1073) implies:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1074) ~ (all_489_0 = 0)
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1075) convergent_lines(all_25_3, all_25_4) = all_489_0
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (937) gives:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1076) convergent_lines(all_25_3, all_25_3) = 0
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_32_1, 0, all_25_3,
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, simplifying with (48), (1076) gives:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1077) all_32_1 = 0
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1066), (1077) imply:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1078) $false
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1078) is inconsistent.
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1079) ~ (convergent_lines(all_25_3, all_25_3) = 0)
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (940) gives:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_74_3, all_489_0,
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4, all_25_3, simplifying with (160), (1075)
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1080) all_489_0 = all_74_3
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1074), (1080) imply:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1081) ~ (all_74_3 = 0)
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (616) gives:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1082) convergent_lines(all_25_2, all_25_4) = 0
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (32), (36), (708), (949), (964), (1082),
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart3) are inconsistent by sub-proof #1.
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1083) all_74_3 = 0
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1081), (1083) imply:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1084) $false
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1084) is inconsistent.
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1085) ~ (all_247_0 = 0)
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (938) gives:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1086) convergent_lines(all_25_3, all_25_3) = 0
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (1079), (1086) imply:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1087) $false
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1087) is inconsistent.
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1088) all_247_0 = 0
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1085), (1088) imply:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1089) $false
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1089) is inconsistent.
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1090) all_38_3 = 0
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (72), (1090) imply:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1091) all_32_1 = 0
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1091) implies:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1092) all_32_1 = 0
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (595), (1092) imply:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1093) all_64_3 = 0
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1064) gives:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1094) ~ (all_64_3 = 0)
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1093), (1094) imply:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1095) $false
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1095) is inconsistent.
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1096) all_64_0 = 0 | all_64_1 = 0
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1096) gives:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1097) all_64_0 = 0
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (1097) imply:
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1098) all_25_0 = 0
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1098) implies:
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1099) all_25_0 = 0
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (1099) imply:
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1100) $false
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1100) is inconsistent.
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1101) all_64_1 = 0
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (610), (1101) imply:
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1102) all_25_0 = 0
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (1102) imply:
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1103) $false
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1103) is inconsistent.
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1104) all_36_3 = 0
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (85), (1104) imply:
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1105) all_32_3 = 0
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (1105) imply:
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1106) all_82_3 = 0
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1107) ~ (all_82_3 = 0)
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1106), (1107) imply:
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1108) $false
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1108) is inconsistent.
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1109) (all_82_0 = 0 & all_82_1 = 0) | (all_82_2 = 0 &
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_36_2 = 0)
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1109) gives:
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1110) all_82_0 = 0 & all_82_1 = 0
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1110) implies:
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1111) all_82_0 = 0
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (613), (1111) imply:
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1112) all_25_0 = 0
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (1112) imply:
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1113) $false
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1113) is inconsistent.
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1114) all_82_2 = 0 & all_36_2 = 0
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1114) implies:
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1115) all_36_2 = 0
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (1115) imply:
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1116) convergent_lines(all_25_4, all_25_2) = 0
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (109) gives:
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1117) convergent_lines(all_25_4, all_25_4) = 0
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_34_3, 0, all_25_4,
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4, simplifying with (51), (1117) gives:
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1118) all_34_3 = 0
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (apart3) with all_25_4, simplifying
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | with (34), (1117) gives:
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1119) $false
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1119) is inconsistent.
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1120) ~ (convergent_lines(all_25_4, all_25_4) = 0)
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (616) gives:
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1121) convergent_lines(all_25_2, all_25_4) = 0
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (32), (36), (708), (949), (964), (1121),
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart3) are inconsistent by sub-proof #1.
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1122) ~ (convergent_lines(all_25_2, all_25_4) = 0)
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_25_4, all_25_2,
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_4, all_285_3, simplifying with (34), (36),
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (964), (1116), (1120) gives:
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1123) all_285_3 = 0
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (964), (1123) imply:
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1124) convergent_lines(all_25_2, all_25_4) = 0
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (1122), (1124) imply:
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1125) $false
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1125) is inconsistent.
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.93/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 43.07/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
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% 43.07/7.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
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% 43.07/7.04 | | | | | | | | | | | | | | | | | | | | | End of split
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% 43.07/7.04 | | | | | | | | | | | | | | | | | | | | End of split
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% 43.07/7.04 | | | | | | | | | | | | | | | | | | | End of split
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% 43.07/7.04 | | | | | | | | | | | | | | | | | | End of split
% 43.07/7.04 | | | | | | | | | | | | | | | | | |
% 43.07/7.04 | | | | | | | | | | | | | | | | | End of split
% 43.07/7.04 | | | | | | | | | | | | | | | | |
% 43.07/7.04 | | | | | | | | | | | | | | | | End of split
% 43.07/7.04 | | | | | | | | | | | | | | | |
% 43.07/7.04 | | | | | | | | | | | | | | | End of split
% 43.07/7.04 | | | | | | | | | | | | | | |
% 43.07/7.04 | | | | | | | | | | | | | | End of split
% 43.07/7.04 | | | | | | | | | | | | | |
% 43.07/7.04 | | | | | | | | | | | | | End of split
% 43.07/7.04 | | | | | | | | | | | | |
% 43.07/7.04 | | | | | | | | | | | | End of split
% 43.07/7.04 | | | | | | | | | | | |
% 43.07/7.04 | | | | | | | | | | | End of split
% 43.07/7.04 | | | | | | | | | | |
% 43.07/7.04 | | | | | | | | | | End of split
% 43.07/7.04 | | | | | | | | | |
% 43.07/7.04 | | | | | | | | | End of split
% 43.07/7.04 | | | | | | | | |
% 43.07/7.04 | | | | | | | | End of split
% 43.07/7.04 | | | | | | | |
% 43.07/7.04 | | | | | | | End of split
% 43.07/7.04 | | | | | | |
% 43.07/7.04 | | | | | | End of split
% 43.07/7.04 | | | | | |
% 43.07/7.04 | | | | | End of split
% 43.07/7.04 | | | | |
% 43.07/7.04 | | | | End of split
% 43.07/7.04 | | | |
% 43.07/7.04 | | | End of split
% 43.07/7.04 | | |
% 43.07/7.04 | | End of split
% 43.07/7.04 | |
% 43.07/7.05 | Case 2:
% 43.07/7.05 | |
% 43.07/7.05 | | (1126) all_25_0 = 0
% 43.07/7.05 | |
% 43.07/7.05 | | REDUCE: (33), (1126) imply:
% 43.07/7.05 | | (1127) $false
% 43.07/7.05 | |
% 43.07/7.05 | | CLOSE: (1127) is inconsistent.
% 43.07/7.05 | |
% 43.07/7.05 | End of split
% 43.07/7.05 |
% 43.07/7.05 End of proof
% 43.07/7.05
% 43.07/7.05 Sub-proof #1 shows that the following formulas are inconsistent:
% 43.07/7.05 ----------------------------------------------------------------
% 43.07/7.05 (1) convergent_lines(all_25_2, all_25_4) = 0
% 43.07/7.05 (2) convergent_lines(all_25_2, all_25_2) = all_176_0
% 43.07/7.05 (3) ~ (all_25_1 = 0)
% 43.07/7.05 (4) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 43.07/7.05 ! [v3: $i] : (v1 = v0 | ~ (convergent_lines(v3, v2) = v1) | ~
% 43.07/7.05 (convergent_lines(v3, v2) = v0))
% 43.07/7.05 (5) $i(all_25_2)
% 43.07/7.05 (6) ! [v0: $i] : ( ~ (convergent_lines(v0, v0) = 0) | ~ $i(v0))
% 43.07/7.05 (7) all_176_0 = 0 | all_25_1 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 43.07/7.05 convergent_lines(all_25_2, all_25_4) = v0)
% 43.07/7.05 (8) convergent_lines(all_25_2, all_25_4) = all_285_3
% 43.07/7.05
% 43.07/7.05 Begin of proof
% 43.07/7.05 |
% 43.07/7.05 | GROUND_INST: instantiating (4) with all_285_3, 0, all_25_4, all_25_2,
% 43.07/7.05 | simplifying with (1), (8) gives:
% 43.07/7.05 | (9) all_285_3 = 0
% 43.07/7.05 |
% 43.07/7.05 | BETA: splitting (7) gives:
% 43.07/7.05 |
% 43.07/7.05 | Case 1:
% 43.07/7.05 | |
% 43.07/7.05 | | (10) all_176_0 = 0
% 43.07/7.05 | |
% 43.07/7.05 | | REDUCE: (2), (10) imply:
% 43.07/7.05 | | (11) convergent_lines(all_25_2, all_25_2) = 0
% 43.07/7.05 | |
% 43.07/7.05 | | GROUND_INST: instantiating (6) with all_25_2, simplifying with (5), (11)
% 43.07/7.05 | | gives:
% 43.07/7.05 | | (12) $false
% 43.07/7.05 | |
% 43.07/7.05 | | CLOSE: (12) is inconsistent.
% 43.07/7.05 | |
% 43.07/7.05 | Case 2:
% 43.07/7.05 | |
% 43.07/7.05 | | (13) all_25_1 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 43.07/7.05 | | convergent_lines(all_25_2, all_25_4) = v0)
% 43.07/7.05 | |
% 43.07/7.05 | | BETA: splitting (13) gives:
% 43.07/7.05 | |
% 43.07/7.05 | | Case 1:
% 43.07/7.05 | | |
% 43.07/7.05 | | | (14) all_25_1 = 0
% 43.07/7.05 | | |
% 43.07/7.05 | | | REDUCE: (3), (14) imply:
% 43.07/7.05 | | | (15) $false
% 43.07/7.05 | | |
% 43.07/7.05 | | | CLOSE: (15) is inconsistent.
% 43.07/7.05 | | |
% 43.07/7.05 | | Case 2:
% 43.07/7.05 | | |
% 43.07/7.05 | | | (16) ? [v0: int] : ( ~ (v0 = 0) & convergent_lines(all_25_2, all_25_4)
% 43.07/7.05 | | | = v0)
% 43.07/7.05 | | |
% 43.07/7.05 | | | DELTA: instantiating (16) with fresh symbol all_579_0 gives:
% 43.07/7.05 | | | (17) ~ (all_579_0 = 0) & convergent_lines(all_25_2, all_25_4) =
% 43.07/7.05 | | | all_579_0
% 43.07/7.05 | | |
% 43.07/7.05 | | | ALPHA: (17) implies:
% 43.07/7.05 | | | (18) ~ (all_579_0 = 0)
% 43.07/7.05 | | | (19) convergent_lines(all_25_2, all_25_4) = all_579_0
% 43.07/7.05 | | |
% 43.07/7.05 | | | GROUND_INST: instantiating (4) with 0, all_579_0, all_25_4, all_25_2,
% 43.07/7.05 | | | simplifying with (1), (19) gives:
% 43.07/7.05 | | | (20) all_579_0 = 0
% 43.07/7.05 | | |
% 43.07/7.05 | | | REDUCE: (18), (20) imply:
% 43.07/7.05 | | | (21) $false
% 43.07/7.05 | | |
% 43.07/7.05 | | | CLOSE: (21) is inconsistent.
% 43.07/7.05 | | |
% 43.07/7.05 | | End of split
% 43.07/7.05 | |
% 43.07/7.05 | End of split
% 43.07/7.05 |
% 43.07/7.05 End of proof
% 43.07/7.05 % SZS output end Proof for theBenchmark
% 43.07/7.05
% 43.07/7.05 6442ms
%------------------------------------------------------------------------------