TSTP Solution File: SET727+4 by Princess---230619
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- Process Solution
%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SET727+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n012.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 : Thu Aug 31 15:26:10 EDT 2023
% Result : Theorem 38.79s 6.04s
% Output : Proof 170.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET727+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.00/0.10 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.30 % Computer : n012.cluster.edu
% 0.12/0.30 % Model : x86_64 x86_64
% 0.12/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.30 % Memory : 8042.1875MB
% 0.12/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.30 % CPULimit : 300
% 0.12/0.30 % WCLimit : 300
% 0.12/0.30 % DateTime : Sat Aug 26 14:26:40 EDT 2023
% 0.12/0.31 % CPUTime :
% 0.15/0.56 ________ _____
% 0.15/0.56 ___ __ \_________(_)________________________________
% 0.15/0.56 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.15/0.56 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.15/0.56 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.15/0.56
% 0.15/0.56 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.15/0.56 (2023-06-19)
% 0.15/0.56
% 0.15/0.56 (c) Philipp Rümmer, 2009-2023
% 0.15/0.56 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.15/0.56 Amanda Stjerna.
% 0.15/0.56 Free software under BSD-3-Clause.
% 0.15/0.56
% 0.15/0.56 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.15/0.56
% 0.15/0.56 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.15/0.58 Running up to 7 provers in parallel.
% 0.15/0.61 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.15/0.61 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.15/0.61 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.15/0.61 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.15/0.61 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.15/0.61 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.15/0.61 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 4.20/1.30 Prover 1: Preprocessing ...
% 4.20/1.30 Prover 4: Preprocessing ...
% 4.20/1.33 Prover 6: Preprocessing ...
% 4.20/1.33 Prover 3: Preprocessing ...
% 4.20/1.33 Prover 0: Preprocessing ...
% 4.20/1.33 Prover 5: Preprocessing ...
% 4.20/1.34 Prover 2: Preprocessing ...
% 11.65/2.43 Prover 2: Proving ...
% 12.37/2.44 Prover 5: Proving ...
% 13.23/2.58 Prover 1: Constructing countermodel ...
% 13.23/2.58 Prover 6: Proving ...
% 13.57/2.62 Prover 3: Constructing countermodel ...
% 17.58/3.21 Prover 4: Constructing countermodel ...
% 18.42/3.30 Prover 0: Proving ...
% 38.79/6.04 Prover 0: proved (5419ms)
% 38.79/6.04
% 38.79/6.04 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 38.79/6.04
% 38.79/6.04 Prover 3: stopped
% 38.79/6.04 Prover 2: stopped
% 38.79/6.04 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 38.79/6.04 Prover 6: stopped
% 38.79/6.04 Prover 5: stopped
% 38.79/6.04 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 38.79/6.04 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 38.79/6.05 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 39.47/6.08 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 39.79/6.14 Prover 8: Preprocessing ...
% 39.79/6.15 Prover 11: Preprocessing ...
% 39.79/6.15 Prover 7: Preprocessing ...
% 39.79/6.19 Prover 10: Preprocessing ...
% 39.79/6.20 Prover 13: Preprocessing ...
% 41.05/6.34 Prover 7: Warning: ignoring some quantifiers
% 41.05/6.38 Prover 10: Warning: ignoring some quantifiers
% 41.84/6.38 Prover 7: Constructing countermodel ...
% 41.98/6.40 Prover 10: Constructing countermodel ...
% 41.98/6.40 Prover 8: Warning: ignoring some quantifiers
% 42.10/6.42 Prover 8: Constructing countermodel ...
% 42.10/6.59 Prover 10: gave up
% 42.10/6.60 Prover 13: Warning: ignoring some quantifiers
% 42.10/6.61 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 42.10/6.66 Prover 13: Constructing countermodel ...
% 42.10/6.66 Prover 16: Preprocessing ...
% 44.21/6.78 Prover 16: Warning: ignoring some quantifiers
% 44.21/6.79 Prover 16: Constructing countermodel ...
% 47.26/7.11 Prover 11: Constructing countermodel ...
% 75.90/10.85 Prover 13: stopped
% 75.90/10.86 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 76.53/10.95 Prover 19: Preprocessing ...
% 79.76/11.40 Prover 19: Warning: ignoring some quantifiers
% 80.42/11.44 Prover 19: Constructing countermodel ...
% 90.33/12.77 Prover 16: stopped
% 105.82/14.79 Prover 19: stopped
% 114.87/15.95 Prover 1: stopped
% 167.16/25.65 Prover 4: Found proof (size 8227)
% 167.16/25.65 Prover 4: proved (25052ms)
% 167.16/25.65 Prover 7: stopped
% 167.16/25.65 Prover 11: stopped
% 167.16/25.65 Prover 8: stopped
% 168.33/25.65
% 168.33/25.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 168.33/25.65
% 168.33/25.74 % SZS output start Proof for theBenchmark
% 168.58/25.75 Assumptions after simplification:
% 168.58/25.75 ---------------------------------
% 168.58/25.75
% 168.58/25.75 (compose_function)
% 168.58/25.79 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 168.58/25.79 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: int] : ! [v9: $i] : (v8 = 0 | ~
% 168.58/25.79 (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = v8) |
% 168.58/25.79 ~ (apply(v1, v5, v9) = 0) | ~ $i(v9) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) |
% 168.58/25.79 ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v10: any] : ? [v11: any]
% 168.58/25.80 : ((apply(v0, v9, v6) = v11 & member(v9, v3) = v10 & ( ~ (v11 = 0) | ~ (v10
% 168.58/25.80 = 0))) | (member(v6, v4) = v11 & member(v5, v2) = v10 & ( ~ (v11 =
% 168.58/25.80 0) | ~ (v10 = 0))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 168.58/25.80 [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8:
% 168.58/25.80 int] : ! [v9: $i] : (v8 = 0 | ~ (compose_function(v0, v1, v2, v3, v4) =
% 168.58/25.80 v7) | ~ (apply(v7, v5, v6) = v8) | ~ (apply(v0, v9, v6) = 0) | ~ $i(v9)
% 168.58/25.80 | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 168.58/25.80 $i(v0) | ? [v10: any] : ? [v11: any] : ((apply(v1, v5, v9) = v11 &
% 168.58/25.80 member(v9, v3) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0))) | (member(v6, v4)
% 168.58/25.80 = v11 & member(v5, v2) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0))))) & !
% 168.58/25.80 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 168.58/25.80 : ! [v6: $i] : ! [v7: $i] : ! [v8: int] : ! [v9: $i] : (v8 = 0 | ~
% 168.58/25.80 (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = v8) |
% 168.58/25.80 ~ (member(v9, v3) = 0) | ~ $i(v9) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~
% 168.58/25.80 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v10: any] : ? [v11: any] :
% 168.58/25.80 ((apply(v1, v5, v9) = v10 & apply(v0, v9, v6) = v11 & ( ~ (v11 = 0) | ~
% 168.58/25.80 (v10 = 0))) | (member(v6, v4) = v11 & member(v5, v2) = v10 & ( ~ (v11
% 168.58/25.80 = 0) | ~ (v10 = 0))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 168.58/25.80 ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 168.58/25.80 (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = 0) |
% 168.58/25.80 ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 168.58/25.80 $i(v0) | ? [v8: any] : ? [v9: any] : ? [v10: $i] : ? [v11: int] : ?
% 168.58/25.80 [v12: int] : ? [v13: int] : ($i(v10) & ((v13 = 0 & v12 = 0 & v11 = 0 &
% 168.58/25.80 apply(v1, v5, v10) = 0 & apply(v0, v10, v6) = 0 & member(v10, v3) = 0)
% 168.58/25.80 | (member(v6, v4) = v9 & member(v5, v2) = v8 & ( ~ (v9 = 0) | ~ (v8 =
% 168.58/25.80 0))))))
% 168.58/25.80
% 168.58/25.80 (equal_maps)
% 168.58/25.81 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 168.58/25.81 $i] : ! [v6: $i] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~
% 168.58/25.81 (apply(v1, v4, v6) = 0) | ~ (apply(v0, v4, v5) = 0) | ~ $i(v6) | ~ $i(v5)
% 168.58/25.81 | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v7: any] :
% 168.58/25.81 ? [v8: any] : ? [v9: any] : (member(v6, v3) = v9 & member(v5, v3) = v8 &
% 168.58/25.81 member(v4, v2) = v7 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0)))) & !
% 168.58/25.81 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 168.58/25.81 : ! [v6: $i] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~ (apply(v1,
% 168.58/25.81 v4, v6) = 0) | ~ (member(v5, v3) = 0) | ~ $i(v6) | ~ $i(v5) | ~
% 168.58/25.81 $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v7: any] : ?
% 168.58/25.81 [v8: any] : ? [v9: any] : (apply(v0, v4, v5) = v9 & member(v6, v3) = v8 &
% 168.58/25.81 member(v4, v2) = v7 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0)))) & !
% 168.58/25.81 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 168.58/25.81 : ! [v6: $i] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~ (apply(v0,
% 168.58/25.81 v4, v5) = 0) | ~ (member(v6, v3) = 0) | ~ $i(v6) | ~ $i(v5) | ~
% 168.58/25.81 $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v7: any] : ?
% 168.58/25.81 [v8: any] : ? [v9: any] : (apply(v1, v4, v6) = v9 & member(v5, v3) = v8 &
% 168.58/25.81 member(v4, v2) = v7 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0)))) & !
% 168.58/25.81 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 168.58/25.81 : ! [v6: $i] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~
% 168.58/25.81 (member(v6, v3) = 0) | ~ (member(v5, v3) = 0) | ~ (member(v4, v2) = 0) |
% 168.58/25.81 ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 168.58/25.81 $i(v0) | ? [v7: any] : ? [v8: any] : (apply(v1, v4, v6) = v8 & apply(v0,
% 168.58/25.81 v4, v5) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0)))) & ! [v0: $i] : ! [v1: $i]
% 168.58/25.81 : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~ (equal_maps(v0, v1,
% 168.58/25.81 v2, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5:
% 168.58/25.81 $i] : ? [v6: $i] : ? [v7: $i] : ( ~ (v7 = v6) & apply(v1, v5, v7) = 0 &
% 168.58/25.81 apply(v0, v5, v6) = 0 & member(v7, v3) = 0 & member(v6, v3) = 0 &
% 168.58/25.81 member(v5, v2) = 0 & $i(v7) & $i(v6) & $i(v5)))
% 168.58/25.81
% 168.58/25.81 (identity)
% 168.58/25.82 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 168.58/25.82 (identity(v0, v1) = 0) | ~ (apply(v0, v2, v2) = v3) | ~ $i(v2) | ~ $i(v1)
% 168.58/25.82 | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & member(v2, v1) = v4)) & ! [v0:
% 168.58/25.82 $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (identity(v0, v1) = v2) | ~
% 168.58/25.82 $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: int] : ( ~ (v4 = 0) & apply(v0,
% 168.58/25.82 v3, v3) = v4 & member(v3, v1) = 0 & $i(v3))) & ! [v0: $i] : ! [v1: $i]
% 168.58/25.82 : ! [v2: $i] : ( ~ (identity(v0, v1) = 0) | ~ (member(v2, v1) = 0) | ~
% 168.58/25.82 $i(v2) | ~ $i(v1) | ~ $i(v0) | apply(v0, v2, v2) = 0)
% 168.58/25.82
% 168.58/25.82 (inverse_function)
% 168.58/25.82 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 168.58/25.82 $i] : ! [v6: any] : ( ~ (inverse_function(v0, v1, v2) = v5) | ~ (apply(v5,
% 168.58/25.82 v4, v3) = v6) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 168.58/25.82 $i(v0) | ? [v7: any] : ? [v8: any] : ? [v9: any] : (apply(v0, v3, v4) =
% 168.58/25.82 v9 & member(v4, v2) = v8 & member(v3, v1) = v7 & ( ~ (v8 = 0) | ~ (v7 =
% 168.58/25.82 0) | (( ~ (v9 = 0) | v6 = 0) & ( ~ (v6 = 0) | v9 = 0)))))
% 168.58/25.82
% 168.58/25.82 (maps)
% 168.58/25.83 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 168.58/25.83 $i] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3, v5) = 0) | ~
% 168.58/25.83 (apply(v0, v3, v4) = 0) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 168.58/25.83 $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 168.58/25.83 (member(v5, v2) = v8 & member(v4, v2) = v7 & member(v3, v1) = v6 & ( ~ (v8 =
% 168.58/25.83 0) | ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v0: $i] : ! [v1: $i] : !
% 168.58/25.83 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v4 | ~ (maps(v0,
% 168.58/25.83 v1, v2) = 0) | ~ (apply(v0, v3, v5) = 0) | ~ (member(v4, v2) = 0) | ~
% 168.58/25.83 $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6:
% 168.58/25.83 any] : ? [v7: any] : ? [v8: any] : (apply(v0, v3, v4) = v8 & member(v5,
% 168.58/25.83 v2) = v7 & member(v3, v1) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 =
% 168.58/25.83 0)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : !
% 168.58/25.83 [v4: $i] : ! [v5: $i] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0,
% 168.58/25.83 v3, v4) = 0) | ~ (member(v5, v2) = 0) | ~ $i(v5) | ~ $i(v4) | ~
% 168.58/25.83 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] :
% 168.58/25.83 ? [v8: any] : (apply(v0, v3, v5) = v8 & member(v4, v2) = v7 & member(v3, v1)
% 168.58/25.83 = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v0: $i] : ! [v1:
% 168.58/25.83 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v4 | ~
% 168.58/25.83 (maps(v0, v1, v2) = 0) | ~ (member(v5, v2) = 0) | ~ (member(v4, v2) = 0) |
% 168.58/25.83 ~ (member(v3, v1) = 0) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 168.58/25.83 $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : (apply(v0, v3, v5) = v7 &
% 168.58/25.83 apply(v0, v3, v4) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v0: $i] : !
% 168.58/25.83 [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (maps(v0, v1, v2) = v3) |
% 168.58/25.83 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : ? [v5: $i] : ? [v6: $i]
% 168.58/25.83 : ? [v7: int] : ? [v8: int] : ? [v9: int] : ? [v10: int] : ? [v11: int]
% 168.58/25.83 : ? [v12: $i] : ? [v13: int] : ($i(v12) & $i(v6) & $i(v5) & $i(v4) & ((v13
% 168.58/25.83 = 0 & member(v12, v1) = 0 & ! [v14: $i] : ( ~ (apply(v0, v12, v14) =
% 168.58/25.83 0) | ~ $i(v14) | ? [v15: int] : ( ~ (v15 = 0) & member(v14, v2)
% 168.58/25.83 = v15)) & ! [v14: $i] : ( ~ (member(v14, v2) = 0) | ~ $i(v14) |
% 168.58/25.83 ? [v15: int] : ( ~ (v15 = 0) & apply(v0, v12, v14) = v15))) | (v11 =
% 168.58/25.83 0 & v10 = 0 & v9 = 0 & v8 = 0 & v7 = 0 & ~ (v6 = v5) & apply(v0, v4,
% 168.58/25.83 v6) = 0 & apply(v0, v4, v5) = 0 & member(v6, v2) = 0 & member(v5,
% 168.58/25.83 v2) = 0 & member(v4, v1) = 0)))) & ! [v0: $i] : ! [v1: $i] : !
% 168.58/25.83 [v2: $i] : ! [v3: $i] : ( ~ (maps(v0, v1, v2) = 0) | ~ (member(v3, v1) = 0)
% 168.58/25.83 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : (apply(v0,
% 168.58/25.83 v3, v4) = 0 & member(v4, v2) = 0 & $i(v4)))
% 168.58/25.83
% 168.58/25.83 (thII18)
% 168.58/25.83 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 168.58/25.83 $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: int] : ( ~ (v8 = 0) &
% 168.58/25.83 inverse_function(v0, v3, v4) = v7 & identity(v6, v4) = 0 & identity(v5, v3)
% 168.58/25.83 = 0 & equal_maps(v7, v2, v4, v3) = v8 & compose_function(v1, v0, v3, v4, v3)
% 168.58/25.83 = v5 & compose_function(v0, v2, v4, v3, v4) = v6 & maps(v2, v4, v3) = 0 &
% 168.58/25.83 maps(v1, v4, v3) = 0 & maps(v0, v3, v4) = 0 & $i(v7) & $i(v6) & $i(v5) &
% 168.58/25.83 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 168.58/25.83
% 168.58/25.83 (function-axioms)
% 168.98/25.85 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 168.98/25.85 [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v1 = v0 |
% 168.98/25.85 ~ (compose_predicate(v7, v6, v5, v4, v3, v2) = v1) | ~
% 168.98/25.85 (compose_predicate(v7, v6, v5, v4, v3, v2) = v0)) & ! [v0:
% 168.98/25.85 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 168.98/25.85 : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v1 = v0 | ~ (isomorphism(v6, v5,
% 168.98/25.85 v4, v3, v2) = v1) | ~ (isomorphism(v6, v5, v4, v3, v2) = v0)) & ! [v0:
% 168.98/25.85 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 168.98/25.85 : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v1 = v0 | ~ (decreasing(v6, v5,
% 168.98/25.85 v4, v3, v2) = v1) | ~ (decreasing(v6, v5, v4, v3, v2) = v0)) & ! [v0:
% 168.98/25.85 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 168.98/25.85 : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v1 = v0 | ~ (increasing(v6, v5,
% 168.98/25.85 v4, v3, v2) = v1) | ~ (increasing(v6, v5, v4, v3, v2) = v0)) & ! [v0:
% 168.98/25.85 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 168.98/25.85 ! [v6: $i] : (v1 = v0 | ~ (compose_function(v6, v5, v4, v3, v2) = v1) | ~
% 168.98/25.85 (compose_function(v6, v5, v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] :
% 168.98/25.85 ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 168.98/25.85 $i] : (v1 = v0 | ~ (inverse_predicate(v5, v4, v3, v2) = v1) | ~
% 168.98/25.85 (inverse_predicate(v5, v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 168.98/25.85 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 168.98/25.85 $i] : (v1 = v0 | ~ (equal_maps(v5, v4, v3, v2) = v1) | ~ (equal_maps(v5,
% 168.98/25.85 v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 168.98/25.85 $i] : ! [v4: $i] : (v1 = v0 | ~ (inverse_image3(v4, v3, v2) = v1) | ~
% 168.98/25.85 (inverse_image3(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 168.98/25.85 : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (image3(v4, v3, v2) = v1) | ~
% 168.98/25.85 (image3(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 168.98/25.85 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (inverse_function(v4, v3, v2) = v1) |
% 168.98/25.85 ~ (inverse_function(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 168.98/25.85 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 |
% 168.98/25.85 ~ (one_to_one(v4, v3, v2) = v1) | ~ (one_to_one(v4, v3, v2) = v0)) & !
% 168.98/25.85 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 168.98/25.85 $i] : ! [v4: $i] : (v1 = v0 | ~ (surjective(v4, v3, v2) = v1) | ~
% 168.98/25.85 (surjective(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 168.98/25.85 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 168.98/25.85 (injective(v4, v3, v2) = v1) | ~ (injective(v4, v3, v2) = v0)) & ! [v0:
% 168.98/25.85 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 168.98/25.85 : ! [v4: $i] : (v1 = v0 | ~ (maps(v4, v3, v2) = v1) | ~ (maps(v4, v3, v2) =
% 168.98/25.85 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 168.98/25.85 $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) |
% 168.98/25.85 ~ (apply(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 168.98/25.85 [v3: $i] : (v1 = v0 | ~ (inverse_image2(v3, v2) = v1) | ~
% 168.98/25.85 (inverse_image2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 168.98/25.85 ! [v3: $i] : (v1 = v0 | ~ (image2(v3, v2) = v1) | ~ (image2(v3, v2) = v0)) &
% 168.98/25.85 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 168.98/25.85 [v3: $i] : (v1 = v0 | ~ (identity(v3, v2) = v1) | ~ (identity(v3, v2) = v0))
% 168.98/25.85 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 168.98/25.85 (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0)) & ! [v0:
% 168.98/25.85 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 168.98/25.85 (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0)) & ! [v0: $i] : !
% 168.98/25.85 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (union(v3, v2) = v1) | ~
% 168.98/25.85 (union(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 168.98/25.85 $i] : (v1 = v0 | ~ (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) =
% 168.98/25.85 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 168.98/25.85 $i] : ! [v3: $i] : (v1 = v0 | ~ (equal_set(v3, v2) = v1) | ~
% 168.98/25.85 (equal_set(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 168.98/25.85 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (subset(v3,
% 168.98/25.85 v2) = v1) | ~ (subset(v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 168.98/25.85 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 168.98/25.85 (member(v3, v2) = v1) | ~ (member(v3, v2) = v0)) & ! [v0: $i] : ! [v1:
% 168.98/25.85 $i] : ! [v2: $i] : (v1 = v0 | ~ (product(v2) = v1) | ~ (product(v2) =
% 168.98/25.85 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (sum(v2) =
% 168.98/25.85 v1) | ~ (sum(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 168.98/25.85 v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0)) & ! [v0: $i] : !
% 168.98/25.85 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (power_set(v2) = v1) | ~
% 168.98/25.85 (power_set(v2) = v0))
% 168.98/25.85
% 168.98/25.85 Further assumptions not needed in the proof:
% 168.98/25.85 --------------------------------------------
% 168.98/25.85 compose_predicate, decreasing_function, difference, empty_set, equal_set,
% 168.98/25.85 image2, image3, increasing_function, injective, intersection, inverse_image2,
% 168.98/25.85 inverse_image3, inverse_predicate, isomorphism, one_to_one, power_set, product,
% 168.98/25.85 singleton, subset, sum, surjective, union, unordered_pair
% 168.98/25.85
% 168.98/25.85 Those formulas are unsatisfiable:
% 168.98/25.85 ---------------------------------
% 168.98/25.85
% 168.98/25.85 Begin of proof
% 168.98/25.85 |
% 168.98/25.85 | ALPHA: (maps) implies:
% 168.98/25.85 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (maps(v0,
% 168.98/25.85 | v1, v2) = 0) | ~ (member(v3, v1) = 0) | ~ $i(v3) | ~ $i(v2) |
% 168.98/25.85 | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : (apply(v0, v3, v4) = 0 &
% 168.98/25.85 | member(v4, v2) = 0 & $i(v4)))
% 168.98/25.86 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 168.98/25.86 | ! [v5: $i] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (member(v5, v2)
% 168.98/25.86 | = 0) | ~ (member(v4, v2) = 0) | ~ (member(v3, v1) = 0) | ~
% 168.98/25.86 | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 168.98/25.86 | ? [v6: any] : ? [v7: any] : (apply(v0, v3, v5) = v7 & apply(v0, v3,
% 168.98/25.86 | v4) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0))))
% 168.98/25.86 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 168.98/25.86 | ! [v5: $i] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3,
% 168.98/25.86 | v5) = 0) | ~ (member(v4, v2) = 0) | ~ $i(v5) | ~ $i(v4) | ~
% 168.98/25.86 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7:
% 168.98/25.86 | any] : ? [v8: any] : (apply(v0, v3, v4) = v8 & member(v5, v2) = v7
% 168.98/25.86 | & member(v3, v1) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0))))
% 168.98/25.86 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 168.98/25.86 | ! [v5: $i] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3,
% 168.98/25.86 | v5) = 0) | ~ (apply(v0, v3, v4) = 0) | ~ $i(v5) | ~ $i(v4) |
% 168.98/25.86 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7:
% 168.98/25.86 | any] : ? [v8: any] : (member(v5, v2) = v8 & member(v4, v2) = v7 &
% 168.98/25.86 | member(v3, v1) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0))))
% 168.98/25.86 |
% 168.98/25.86 | ALPHA: (compose_function) implies:
% 168.98/25.86 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 168.98/25.86 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ (compose_function(v0, v1,
% 168.98/25.86 | v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = 0) | ~ $i(v6) | ~
% 168.98/25.86 | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 168.98/25.86 | ? [v8: any] : ? [v9: any] : ? [v10: $i] : ? [v11: int] : ? [v12:
% 168.98/25.86 | int] : ? [v13: int] : ($i(v10) & ((v13 = 0 & v12 = 0 & v11 = 0 &
% 168.98/25.86 | apply(v1, v5, v10) = 0 & apply(v0, v10, v6) = 0 & member(v10,
% 168.98/25.86 | v3) = 0) | (member(v6, v4) = v9 & member(v5, v2) = v8 & ( ~
% 168.98/25.86 | (v9 = 0) | ~ (v8 = 0))))))
% 168.98/25.86 |
% 168.98/25.86 | ALPHA: (equal_maps) implies:
% 168.98/25.86 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 168.98/25.86 | (v4 = 0 | ~ (equal_maps(v0, v1, v2, v3) = v4) | ~ $i(v3) | ~ $i(v2)
% 168.98/25.86 | | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : (
% 168.98/25.86 | ~ (v7 = v6) & apply(v1, v5, v7) = 0 & apply(v0, v5, v6) = 0 &
% 168.98/25.86 | member(v7, v3) = 0 & member(v6, v3) = 0 & member(v5, v2) = 0 &
% 168.98/25.86 | $i(v7) & $i(v6) & $i(v5)))
% 168.98/25.87 |
% 168.98/25.87 | ALPHA: (identity) implies:
% 168.98/25.87 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (identity(v0, v1) = 0) |
% 168.98/25.87 | ~ (member(v2, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 168.98/25.87 | apply(v0, v2, v2) = 0)
% 168.98/25.87 |
% 168.98/25.87 | ALPHA: (function-axioms) implies:
% 168.98/25.87 | (8) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 168.98/25.87 | ! [v3: $i] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2)
% 168.98/25.87 | = v0))
% 168.98/25.87 | (9) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 168.98/25.87 | ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | ~
% 168.98/25.87 | (apply(v4, v3, v2) = v0))
% 168.98/25.87 |
% 168.98/25.87 | DELTA: instantiating (thII18) with fresh symbols all_32_0, all_32_1, all_32_2,
% 168.98/25.87 | all_32_3, all_32_4, all_32_5, all_32_6, all_32_7, all_32_8 gives:
% 168.98/25.87 | (10) ~ (all_32_0 = 0) & inverse_function(all_32_8, all_32_5, all_32_4) =
% 168.98/25.87 | all_32_1 & identity(all_32_2, all_32_4) = 0 & identity(all_32_3,
% 168.98/25.87 | all_32_5) = 0 & equal_maps(all_32_1, all_32_6, all_32_4, all_32_5) =
% 168.98/25.87 | all_32_0 & compose_function(all_32_7, all_32_8, all_32_5, all_32_4,
% 168.98/25.87 | all_32_5) = all_32_3 & compose_function(all_32_8, all_32_6,
% 168.98/25.87 | all_32_4, all_32_5, all_32_4) = all_32_2 & maps(all_32_6, all_32_4,
% 168.98/25.87 | all_32_5) = 0 & maps(all_32_7, all_32_4, all_32_5) = 0 &
% 168.98/25.87 | maps(all_32_8, all_32_5, all_32_4) = 0 & $i(all_32_1) & $i(all_32_2) &
% 168.98/25.87 | $i(all_32_3) & $i(all_32_4) & $i(all_32_5) & $i(all_32_6) &
% 168.98/25.87 | $i(all_32_7) & $i(all_32_8)
% 168.98/25.87 |
% 168.98/25.87 | ALPHA: (10) implies:
% 168.98/25.87 | (11) ~ (all_32_0 = 0)
% 168.98/25.87 | (12) $i(all_32_8)
% 168.98/25.87 | (13) $i(all_32_7)
% 168.98/25.87 | (14) $i(all_32_6)
% 168.98/25.87 | (15) $i(all_32_5)
% 168.98/25.87 | (16) $i(all_32_4)
% 168.98/25.87 | (17) $i(all_32_3)
% 168.98/25.87 | (18) $i(all_32_2)
% 168.98/25.87 | (19) $i(all_32_1)
% 168.98/25.87 | (20) maps(all_32_8, all_32_5, all_32_4) = 0
% 168.98/25.87 | (21) maps(all_32_7, all_32_4, all_32_5) = 0
% 168.98/25.87 | (22) maps(all_32_6, all_32_4, all_32_5) = 0
% 168.98/25.87 | (23) compose_function(all_32_8, all_32_6, all_32_4, all_32_5, all_32_4) =
% 168.98/25.87 | all_32_2
% 168.98/25.87 | (24) compose_function(all_32_7, all_32_8, all_32_5, all_32_4, all_32_5) =
% 168.98/25.87 | all_32_3
% 168.98/25.87 | (25) equal_maps(all_32_1, all_32_6, all_32_4, all_32_5) = all_32_0
% 168.98/25.87 | (26) identity(all_32_3, all_32_5) = 0
% 168.98/25.87 | (27) identity(all_32_2, all_32_4) = 0
% 168.98/25.87 | (28) inverse_function(all_32_8, all_32_5, all_32_4) = all_32_1
% 168.98/25.88 |
% 168.98/25.88 | GROUND_INST: instantiating (6) with all_32_1, all_32_6, all_32_4, all_32_5,
% 168.98/25.88 | all_32_0, simplifying with (14), (15), (16), (19), (25) gives:
% 168.98/25.88 | (29) all_32_0 = 0 | ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ( ~ (v2 = v1)
% 168.98/25.88 | & apply(all_32_1, v0, v1) = 0 & apply(all_32_6, v0, v2) = 0 &
% 168.98/25.88 | member(v2, all_32_5) = 0 & member(v1, all_32_5) = 0 & member(v0,
% 168.98/25.88 | all_32_4) = 0 & $i(v2) & $i(v1) & $i(v0))
% 168.98/25.88 |
% 168.98/25.88 | BETA: splitting (29) gives:
% 168.98/25.88 |
% 168.98/25.88 | Case 1:
% 168.98/25.88 | |
% 168.98/25.88 | | (30) all_32_0 = 0
% 168.98/25.88 | |
% 168.98/25.88 | | REDUCE: (11), (30) imply:
% 168.98/25.88 | | (31) $false
% 168.98/25.88 | |
% 168.98/25.88 | | CLOSE: (31) is inconsistent.
% 168.98/25.88 | |
% 168.98/25.88 | Case 2:
% 168.98/25.88 | |
% 168.98/25.88 | | (32) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ( ~ (v2 = v1) &
% 168.98/25.88 | | apply(all_32_1, v0, v1) = 0 & apply(all_32_6, v0, v2) = 0 &
% 168.98/25.88 | | member(v2, all_32_5) = 0 & member(v1, all_32_5) = 0 & member(v0,
% 168.98/25.88 | | all_32_4) = 0 & $i(v2) & $i(v1) & $i(v0))
% 168.98/25.88 | |
% 168.98/25.88 | | DELTA: instantiating (32) with fresh symbols all_41_0, all_41_1, all_41_2
% 168.98/25.88 | | gives:
% 168.98/25.89 | | (33) ~ (all_41_0 = all_41_1) & apply(all_32_1, all_41_2, all_41_1) = 0 &
% 168.98/25.89 | | apply(all_32_6, all_41_2, all_41_0) = 0 & member(all_41_0, all_32_5)
% 168.98/25.89 | | = 0 & member(all_41_1, all_32_5) = 0 & member(all_41_2, all_32_4) =
% 168.98/25.89 | | 0 & $i(all_41_0) & $i(all_41_1) & $i(all_41_2)
% 168.98/25.89 | |
% 168.98/25.89 | | ALPHA: (33) implies:
% 168.98/25.89 | | (34) ~ (all_41_0 = all_41_1)
% 168.98/25.89 | | (35) $i(all_41_2)
% 168.98/25.89 | | (36) $i(all_41_1)
% 168.98/25.89 | | (37) $i(all_41_0)
% 168.98/25.89 | | (38) member(all_41_2, all_32_4) = 0
% 168.98/25.89 | | (39) member(all_41_1, all_32_5) = 0
% 168.98/25.89 | | (40) member(all_41_0, all_32_5) = 0
% 168.98/25.89 | | (41) apply(all_32_6, all_41_2, all_41_0) = 0
% 168.98/25.89 | | (42) apply(all_32_1, all_41_2, all_41_1) = 0
% 168.98/25.89 | |
% 168.98/25.89 | | GROUND_INST: instantiating (1) with all_32_6, all_32_4, all_32_5, all_41_2,
% 168.98/25.89 | | simplifying with (14), (15), (16), (22), (35), (38) gives:
% 168.98/25.89 | | (43) ? [v0: $i] : (apply(all_32_6, all_41_2, v0) = 0 & member(v0,
% 168.98/25.89 | | all_32_5) = 0 & $i(v0))
% 168.98/25.89 | |
% 168.98/25.89 | | GROUND_INST: instantiating (1) with all_32_7, all_32_4, all_32_5, all_41_2,
% 168.98/25.89 | | simplifying with (13), (15), (16), (21), (35), (38) gives:
% 168.98/25.89 | | (44) ? [v0: $i] : (apply(all_32_7, all_41_2, v0) = 0 & member(v0,
% 168.98/25.89 | | all_32_5) = 0 & $i(v0))
% 168.98/25.89 | |
% 168.98/25.89 | | GROUND_INST: instantiating (7) with all_32_2, all_32_4, all_41_2,
% 168.98/25.89 | | simplifying with (16), (18), (27), (35), (38) gives:
% 168.98/25.89 | | (45) apply(all_32_2, all_41_2, all_41_2) = 0
% 168.98/25.89 | |
% 168.98/25.89 | | GROUND_INST: instantiating (1) with all_32_8, all_32_5, all_32_4, all_41_1,
% 168.98/25.89 | | simplifying with (12), (15), (16), (20), (36), (39) gives:
% 168.98/25.89 | | (46) ? [v0: $i] : (apply(all_32_8, all_41_1, v0) = 0 & member(v0,
% 168.98/25.89 | | all_32_4) = 0 & $i(v0))
% 168.98/25.89 | |
% 169.25/25.89 | | GROUND_INST: instantiating (7) with all_32_3, all_32_5, all_41_1,
% 169.25/25.89 | | simplifying with (15), (17), (26), (36), (39) gives:
% 169.25/25.89 | | (47) apply(all_32_3, all_41_1, all_41_1) = 0
% 169.25/25.89 | |
% 169.25/25.89 | | GROUND_INST: instantiating (2) with all_32_6, all_32_4, all_32_5, all_41_2,
% 169.25/25.89 | | all_41_1, all_41_0, simplifying with (14), (15), (16), (22),
% 169.25/25.89 | | (35), (36), (37), (38), (39), (40) gives:
% 169.25/25.89 | | (48) all_41_0 = all_41_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 169.25/25.89 | | all_41_2, all_41_0) = v1 & apply(all_32_6, all_41_2, all_41_1) =
% 169.25/25.89 | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.25/25.89 | |
% 169.25/25.90 | | GROUND_INST: instantiating (2) with all_32_6, all_32_4, all_32_5, all_41_2,
% 169.25/25.90 | | all_41_0, all_41_1, simplifying with (14), (15), (16), (22),
% 169.25/25.90 | | (35), (36), (37), (38), (39), (40) gives:
% 169.25/25.90 | | (49) all_41_0 = all_41_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 169.25/25.90 | | all_41_2, all_41_0) = v0 & apply(all_32_6, all_41_2, all_41_1) =
% 169.25/25.90 | | v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.25/25.90 | |
% 169.25/25.90 | | GROUND_INST: instantiating (2) with all_32_7, all_32_4, all_32_5, all_41_2,
% 169.25/25.90 | | all_41_1, all_41_0, simplifying with (13), (15), (16), (21),
% 169.25/25.90 | | (35), (36), (37), (38), (39), (40) gives:
% 169.25/25.90 | | (50) all_41_0 = all_41_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_7,
% 169.25/25.90 | | all_41_2, all_41_0) = v1 & apply(all_32_7, all_41_2, all_41_1) =
% 169.25/25.90 | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.25/25.90 | |
% 169.25/25.90 | | GROUND_INST: instantiating (2) with all_32_7, all_32_4, all_32_5, all_41_2,
% 169.25/25.90 | | all_41_0, all_41_1, simplifying with (13), (15), (16), (21),
% 169.25/25.90 | | (35), (36), (37), (38), (39), (40) gives:
% 169.25/25.90 | | (51) all_41_0 = all_41_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_7,
% 169.25/25.90 | | all_41_2, all_41_0) = v0 & apply(all_32_7, all_41_2, all_41_1) =
% 169.25/25.90 | | v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.25/25.90 | |
% 169.25/25.90 | | GROUND_INST: instantiating (1) with all_32_8, all_32_5, all_32_4, all_41_0,
% 169.25/25.90 | | simplifying with (12), (15), (16), (20), (37), (40) gives:
% 169.25/25.90 | | (52) ? [v0: $i] : (apply(all_32_8, all_41_0, v0) = 0 & member(v0,
% 169.25/25.90 | | all_32_4) = 0 & $i(v0))
% 169.25/25.90 | |
% 169.25/25.90 | | GROUND_INST: instantiating (7) with all_32_3, all_32_5, all_41_0,
% 169.25/25.90 | | simplifying with (15), (17), (26), (37), (40) gives:
% 169.25/25.90 | | (53) apply(all_32_3, all_41_0, all_41_0) = 0
% 169.25/25.90 | |
% 169.25/25.90 | | GROUND_INST: instantiating (3) with all_32_6, all_32_4, all_32_5, all_41_2,
% 169.25/25.90 | | all_41_1, all_41_0, simplifying with (14), (15), (16), (22),
% 169.25/25.90 | | (35), (36), (37), (39), (41) gives:
% 169.25/25.91 | | (54) all_41_0 = all_41_1 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 169.25/25.91 | | (apply(all_32_6, all_41_2, all_41_1) = v2 & member(all_41_0,
% 169.25/25.91 | | all_32_5) = v1 & member(all_41_2, all_32_4) = v0 & ( ~ (v2 = 0)
% 169.25/25.91 | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 169.25/25.91 | |
% 169.25/25.91 | | GROUND_INST: instantiating (inverse_function) with all_32_8, all_32_5,
% 169.25/25.91 | | all_32_4, all_41_1, all_41_2, all_32_1, 0, simplifying with
% 169.25/25.91 | | (12), (15), (16), (28), (35), (36), (42) gives:
% 169.25/25.91 | | (55) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_32_8,
% 169.25/25.91 | | all_41_1, all_41_2) = v2 & member(all_41_1, all_32_5) = v0 &
% 169.25/25.91 | | member(all_41_2, all_32_4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2
% 169.25/25.91 | | = 0))
% 169.25/25.91 | |
% 169.25/25.91 | | DELTA: instantiating (46) with fresh symbol all_49_0 gives:
% 169.25/25.91 | | (56) apply(all_32_8, all_41_1, all_49_0) = 0 & member(all_49_0, all_32_4)
% 169.25/25.91 | | = 0 & $i(all_49_0)
% 169.25/25.91 | |
% 169.25/25.91 | | ALPHA: (56) implies:
% 169.25/25.91 | | (57) $i(all_49_0)
% 169.25/25.91 | | (58) member(all_49_0, all_32_4) = 0
% 169.25/25.91 | | (59) apply(all_32_8, all_41_1, all_49_0) = 0
% 169.25/25.91 | |
% 169.25/25.91 | | DELTA: instantiating (52) with fresh symbol all_51_0 gives:
% 169.25/25.91 | | (60) apply(all_32_8, all_41_0, all_51_0) = 0 & member(all_51_0, all_32_4)
% 169.25/25.91 | | = 0 & $i(all_51_0)
% 169.25/25.91 | |
% 169.25/25.91 | | ALPHA: (60) implies:
% 169.25/25.91 | | (61) $i(all_51_0)
% 169.25/25.91 | | (62) member(all_51_0, all_32_4) = 0
% 169.25/25.91 | | (63) apply(all_32_8, all_41_0, all_51_0) = 0
% 169.25/25.91 | |
% 169.25/25.91 | | DELTA: instantiating (44) with fresh symbol all_53_0 gives:
% 169.25/25.91 | | (64) apply(all_32_7, all_41_2, all_53_0) = 0 & member(all_53_0, all_32_5)
% 169.25/25.91 | | = 0 & $i(all_53_0)
% 169.25/25.91 | |
% 169.25/25.91 | | ALPHA: (64) implies:
% 169.25/25.91 | | (65) $i(all_53_0)
% 169.25/25.91 | | (66) member(all_53_0, all_32_5) = 0
% 169.25/25.91 | |
% 169.25/25.91 | | DELTA: instantiating (43) with fresh symbol all_55_0 gives:
% 169.25/25.91 | | (67) apply(all_32_6, all_41_2, all_55_0) = 0 & member(all_55_0, all_32_5)
% 169.25/25.91 | | = 0 & $i(all_55_0)
% 169.25/25.91 | |
% 169.25/25.91 | | ALPHA: (67) implies:
% 169.25/25.91 | | (68) $i(all_55_0)
% 169.25/25.91 | | (69) member(all_55_0, all_32_5) = 0
% 169.25/25.91 | | (70) apply(all_32_6, all_41_2, all_55_0) = 0
% 169.25/25.91 | |
% 169.25/25.91 | | DELTA: instantiating (55) with fresh symbols all_57_0, all_57_1, all_57_2
% 169.25/25.91 | | gives:
% 169.25/25.91 | | (71) apply(all_32_8, all_41_1, all_41_2) = all_57_0 & member(all_41_1,
% 169.25/25.91 | | all_32_5) = all_57_2 & member(all_41_2, all_32_4) = all_57_1 & ( ~
% 169.25/25.91 | | (all_57_1 = 0) | ~ (all_57_2 = 0) | all_57_0 = 0)
% 169.25/25.91 | |
% 169.25/25.91 | | ALPHA: (71) implies:
% 169.25/25.91 | | (72) member(all_41_2, all_32_4) = all_57_1
% 169.25/25.91 | | (73) member(all_41_1, all_32_5) = all_57_2
% 169.25/25.91 | | (74) apply(all_32_8, all_41_1, all_41_2) = all_57_0
% 169.25/25.91 | | (75) ~ (all_57_1 = 0) | ~ (all_57_2 = 0) | all_57_0 = 0
% 169.25/25.91 | |
% 169.25/25.91 | | BETA: splitting (49) gives:
% 169.25/25.91 | |
% 169.25/25.91 | | Case 1:
% 169.25/25.91 | | |
% 169.25/25.91 | | | (76) all_41_0 = all_41_1
% 169.25/25.91 | | |
% 169.25/25.91 | | | REDUCE: (34), (76) imply:
% 169.25/25.91 | | | (77) $false
% 169.25/25.91 | | |
% 169.25/25.91 | | | CLOSE: (77) is inconsistent.
% 169.25/25.91 | | |
% 169.25/25.91 | | Case 2:
% 169.25/25.91 | | |
% 169.25/25.91 | | | (78) ? [v0: any] : ? [v1: any] : (apply(all_32_6, all_41_2, all_41_0)
% 169.25/25.91 | | | = v0 & apply(all_32_6, all_41_2, all_41_1) = v1 & ( ~ (v1 = 0) |
% 169.25/25.91 | | | ~ (v0 = 0)))
% 169.25/25.91 | | |
% 169.25/25.91 | | | DELTA: instantiating (78) with fresh symbols all_63_0, all_63_1 gives:
% 169.25/25.91 | | | (79) apply(all_32_6, all_41_2, all_41_0) = all_63_1 & apply(all_32_6,
% 169.25/25.91 | | | all_41_2, all_41_1) = all_63_0 & ( ~ (all_63_0 = 0) | ~
% 169.25/25.91 | | | (all_63_1 = 0))
% 169.25/25.91 | | |
% 169.25/25.91 | | | ALPHA: (79) implies:
% 169.25/25.91 | | | (80) apply(all_32_6, all_41_2, all_41_0) = all_63_1
% 169.25/25.91 | | |
% 169.25/25.91 | | | BETA: splitting (48) gives:
% 169.25/25.91 | | |
% 169.25/25.91 | | | Case 1:
% 169.25/25.91 | | | |
% 169.25/25.91 | | | | (81) all_41_0 = all_41_1
% 169.25/25.91 | | | |
% 169.25/25.91 | | | | REDUCE: (34), (81) imply:
% 169.25/25.91 | | | | (82) $false
% 169.25/25.91 | | | |
% 169.25/25.91 | | | | CLOSE: (82) is inconsistent.
% 169.25/25.91 | | | |
% 169.25/25.91 | | | Case 2:
% 169.25/25.91 | | | |
% 169.25/25.91 | | | | (83) ? [v0: any] : ? [v1: any] : (apply(all_32_6, all_41_2,
% 169.25/25.91 | | | | all_41_0) = v1 & apply(all_32_6, all_41_2, all_41_1) = v0 &
% 169.25/25.91 | | | | ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.25/25.91 | | | |
% 169.25/25.91 | | | | DELTA: instantiating (83) with fresh symbols all_68_0, all_68_1 gives:
% 169.25/25.91 | | | | (84) apply(all_32_6, all_41_2, all_41_0) = all_68_0 & apply(all_32_6,
% 169.25/25.91 | | | | all_41_2, all_41_1) = all_68_1 & ( ~ (all_68_0 = 0) | ~
% 169.25/25.91 | | | | (all_68_1 = 0))
% 169.25/25.91 | | | |
% 169.25/25.91 | | | | ALPHA: (84) implies:
% 169.25/25.91 | | | | (85) apply(all_32_6, all_41_2, all_41_0) = all_68_0
% 169.25/25.91 | | | |
% 169.25/25.91 | | | | BETA: splitting (54) gives:
% 169.25/25.91 | | | |
% 169.25/25.91 | | | | Case 1:
% 169.25/25.91 | | | | |
% 169.25/25.91 | | | | | (86) all_41_0 = all_41_1
% 169.25/25.91 | | | | |
% 169.25/25.91 | | | | | REDUCE: (34), (86) imply:
% 169.25/25.91 | | | | | (87) $false
% 169.25/25.91 | | | | |
% 169.25/25.92 | | | | | CLOSE: (87) is inconsistent.
% 169.25/25.92 | | | | |
% 169.25/25.92 | | | | Case 2:
% 169.25/25.92 | | | | |
% 169.25/25.92 | | | | | (88) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_32_6,
% 169.25/25.92 | | | | | all_41_2, all_41_1) = v2 & member(all_41_0, all_32_5) = v1
% 169.25/25.92 | | | | | & member(all_41_2, all_32_4) = v0 & ( ~ (v2 = 0) | ~ (v1 =
% 169.25/25.92 | | | | | 0) | ~ (v0 = 0)))
% 169.25/25.92 | | | | |
% 169.25/25.92 | | | | | DELTA: instantiating (88) with fresh symbols all_73_0, all_73_1,
% 169.25/25.92 | | | | | all_73_2 gives:
% 169.25/25.92 | | | | | (89) apply(all_32_6, all_41_2, all_41_1) = all_73_0 &
% 169.25/25.92 | | | | | member(all_41_0, all_32_5) = all_73_1 & member(all_41_2,
% 169.25/25.92 | | | | | all_32_4) = all_73_2 & ( ~ (all_73_0 = 0) | ~ (all_73_1 =
% 169.25/25.92 | | | | | 0) | ~ (all_73_2 = 0))
% 169.25/25.92 | | | | |
% 169.25/25.92 | | | | | ALPHA: (89) implies:
% 169.25/25.92 | | | | | (90) member(all_41_2, all_32_4) = all_73_2
% 169.25/25.92 | | | | | (91) member(all_41_0, all_32_5) = all_73_1
% 169.25/25.92 | | | | |
% 169.25/25.92 | | | | | BETA: splitting (51) gives:
% 169.25/25.92 | | | | |
% 169.25/25.92 | | | | | Case 1:
% 169.25/25.92 | | | | | |
% 169.25/25.92 | | | | | | (92) all_41_0 = all_41_1
% 169.25/25.92 | | | | | |
% 169.25/25.92 | | | | | | REDUCE: (34), (92) imply:
% 169.25/25.92 | | | | | | (93) $false
% 169.25/25.92 | | | | | |
% 169.25/25.92 | | | | | | CLOSE: (93) is inconsistent.
% 169.25/25.92 | | | | | |
% 169.25/25.92 | | | | | Case 2:
% 169.25/25.92 | | | | | |
% 169.25/25.92 | | | | | | (94) ? [v0: any] : ? [v1: any] : (apply(all_32_7, all_41_2,
% 169.25/25.92 | | | | | | all_41_0) = v0 & apply(all_32_7, all_41_2, all_41_1) =
% 169.25/25.92 | | | | | | v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.25/25.92 | | | | | |
% 169.25/25.92 | | | | | | DELTA: instantiating (94) with fresh symbols all_78_0, all_78_1
% 169.25/25.92 | | | | | | gives:
% 169.25/25.92 | | | | | | (95) apply(all_32_7, all_41_2, all_41_0) = all_78_1 &
% 169.25/25.92 | | | | | | apply(all_32_7, all_41_2, all_41_1) = all_78_0 & ( ~
% 169.25/25.92 | | | | | | (all_78_0 = 0) | ~ (all_78_1 = 0))
% 169.25/25.92 | | | | | |
% 169.25/25.92 | | | | | | ALPHA: (95) implies:
% 169.25/25.92 | | | | | | (96) apply(all_32_7, all_41_2, all_41_1) = all_78_0
% 169.25/25.92 | | | | | | (97) apply(all_32_7, all_41_2, all_41_0) = all_78_1
% 169.25/25.92 | | | | | | (98) ~ (all_78_0 = 0) | ~ (all_78_1 = 0)
% 169.25/25.92 | | | | | |
% 169.25/25.92 | | | | | | BETA: splitting (50) gives:
% 169.25/25.92 | | | | | |
% 169.25/25.92 | | | | | | Case 1:
% 169.25/25.92 | | | | | | |
% 169.25/25.92 | | | | | | | (99) all_41_0 = all_41_1
% 169.25/25.92 | | | | | | |
% 169.25/25.92 | | | | | | | REDUCE: (34), (99) imply:
% 169.25/25.92 | | | | | | | (100) $false
% 169.25/25.92 | | | | | | |
% 169.25/25.92 | | | | | | | CLOSE: (100) is inconsistent.
% 169.25/25.92 | | | | | | |
% 169.25/25.92 | | | | | | Case 2:
% 169.25/25.92 | | | | | | |
% 169.25/25.92 | | | | | | | (101) ? [v0: any] : ? [v1: any] : (apply(all_32_7, all_41_2,
% 169.25/25.92 | | | | | | | all_41_0) = v1 & apply(all_32_7, all_41_2, all_41_1)
% 169.25/25.92 | | | | | | | = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.25/25.92 | | | | | | |
% 169.25/25.92 | | | | | | | DELTA: instantiating (101) with fresh symbols all_83_0, all_83_1
% 169.25/25.92 | | | | | | | gives:
% 169.25/25.92 | | | | | | | (102) apply(all_32_7, all_41_2, all_41_0) = all_83_0 &
% 169.25/25.92 | | | | | | | apply(all_32_7, all_41_2, all_41_1) = all_83_1 & ( ~
% 169.25/25.92 | | | | | | | (all_83_0 = 0) | ~ (all_83_1 = 0))
% 169.25/25.92 | | | | | | |
% 169.25/25.92 | | | | | | | ALPHA: (102) implies:
% 169.25/25.92 | | | | | | | (103) apply(all_32_7, all_41_2, all_41_1) = all_83_1
% 169.25/25.92 | | | | | | | (104) apply(all_32_7, all_41_2, all_41_0) = all_83_0
% 169.25/25.92 | | | | | | |
% 169.25/25.92 | | | | | | | GROUND_INST: instantiating (8) with 0, all_73_2, all_32_4,
% 169.25/25.92 | | | | | | | all_41_2, simplifying with (38), (90) gives:
% 169.25/25.92 | | | | | | | (105) all_73_2 = 0
% 169.25/25.92 | | | | | | |
% 169.25/25.92 | | | | | | | GROUND_INST: instantiating (8) with all_57_1, all_73_2, all_32_4,
% 169.25/25.92 | | | | | | | all_41_2, simplifying with (72), (90) gives:
% 169.25/25.92 | | | | | | | (106) all_73_2 = all_57_1
% 169.25/25.92 | | | | | | |
% 169.25/25.92 | | | | | | | GROUND_INST: instantiating (8) with 0, all_57_2, all_32_5,
% 169.25/25.92 | | | | | | | all_41_1, simplifying with (39), (73) gives:
% 169.25/25.92 | | | | | | | (107) all_57_2 = 0
% 169.25/25.92 | | | | | | |
% 169.25/25.92 | | | | | | | GROUND_INST: instantiating (8) with 0, all_73_1, all_32_5,
% 169.25/25.92 | | | | | | | all_41_0, simplifying with (40), (91) gives:
% 169.25/25.92 | | | | | | | (108) all_73_1 = 0
% 169.25/25.92 | | | | | | |
% 169.25/25.92 | | | | | | | GROUND_INST: instantiating (9) with all_78_0, all_83_1, all_41_1,
% 169.25/25.92 | | | | | | | all_41_2, all_32_7, simplifying with (96), (103)
% 169.25/25.92 | | | | | | | gives:
% 169.25/25.92 | | | | | | | (109) all_83_1 = all_78_0
% 169.25/25.92 | | | | | | |
% 169.25/25.92 | | | | | | | GROUND_INST: instantiating (9) with all_78_1, all_83_0, all_41_0,
% 169.25/25.92 | | | | | | | all_41_2, all_32_7, simplifying with (97), (104)
% 169.25/25.92 | | | | | | | gives:
% 169.25/25.92 | | | | | | | (110) all_83_0 = all_78_1
% 169.25/25.92 | | | | | | |
% 169.25/25.92 | | | | | | | GROUND_INST: instantiating (9) with 0, all_68_0, all_41_0,
% 169.25/25.92 | | | | | | | all_41_2, all_32_6, simplifying with (41), (85)
% 169.25/25.92 | | | | | | | gives:
% 169.25/25.92 | | | | | | | (111) all_68_0 = 0
% 169.25/25.92 | | | | | | |
% 169.25/25.92 | | | | | | | GROUND_INST: instantiating (9) with all_63_1, all_68_0, all_41_0,
% 169.25/25.92 | | | | | | | all_41_2, all_32_6, simplifying with (80), (85)
% 169.25/25.92 | | | | | | | gives:
% 169.25/25.92 | | | | | | | (112) all_68_0 = all_63_1
% 169.25/25.92 | | | | | | |
% 169.25/25.92 | | | | | | | COMBINE_EQS: (105), (106) imply:
% 169.25/25.92 | | | | | | | (113) all_57_1 = 0
% 169.25/25.92 | | | | | | |
% 169.25/25.92 | | | | | | | SIMP: (113) implies:
% 169.25/25.92 | | | | | | | (114) all_57_1 = 0
% 169.25/25.92 | | | | | | |
% 169.25/25.92 | | | | | | | COMBINE_EQS: (111), (112) imply:
% 169.25/25.92 | | | | | | | (115) all_63_1 = 0
% 169.25/25.92 | | | | | | |
% 169.25/25.92 | | | | | | | SIMP: (115) implies:
% 169.25/25.92 | | | | | | | (116) all_63_1 = 0
% 169.25/25.92 | | | | | | |
% 169.25/25.92 | | | | | | | BETA: splitting (75) gives:
% 169.25/25.92 | | | | | | |
% 169.25/25.92 | | | | | | | Case 1:
% 169.25/25.92 | | | | | | | |
% 169.25/25.92 | | | | | | | | (117) ~ (all_57_1 = 0)
% 169.25/25.92 | | | | | | | |
% 169.25/25.92 | | | | | | | | REDUCE: (114), (117) imply:
% 169.25/25.92 | | | | | | | | (118) $false
% 169.25/25.92 | | | | | | | |
% 169.25/25.92 | | | | | | | | CLOSE: (118) is inconsistent.
% 169.25/25.92 | | | | | | | |
% 169.25/25.92 | | | | | | | Case 2:
% 169.25/25.92 | | | | | | | |
% 169.25/25.92 | | | | | | | | (119) ~ (all_57_2 = 0) | all_57_0 = 0
% 169.25/25.92 | | | | | | | |
% 169.25/25.92 | | | | | | | | BETA: splitting (119) gives:
% 169.25/25.92 | | | | | | | |
% 169.25/25.92 | | | | | | | | Case 1:
% 169.25/25.92 | | | | | | | | |
% 169.25/25.92 | | | | | | | | | (120) ~ (all_57_2 = 0)
% 169.25/25.92 | | | | | | | | |
% 169.25/25.92 | | | | | | | | | REDUCE: (107), (120) imply:
% 169.25/25.92 | | | | | | | | | (121) $false
% 169.25/25.92 | | | | | | | | |
% 169.25/25.92 | | | | | | | | | CLOSE: (121) is inconsistent.
% 169.25/25.92 | | | | | | | | |
% 169.25/25.92 | | | | | | | | Case 2:
% 169.25/25.92 | | | | | | | | |
% 169.25/25.92 | | | | | | | | | (122) all_57_0 = 0
% 169.25/25.93 | | | | | | | | |
% 169.25/25.93 | | | | | | | | | REDUCE: (74), (122) imply:
% 169.25/25.93 | | | | | | | | | (123) apply(all_32_8, all_41_1, all_41_2) = 0
% 169.25/25.93 | | | | | | | | |
% 169.25/25.93 | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_4,
% 169.25/25.93 | | | | | | | | | all_32_5, all_49_0, all_41_1, all_41_0,
% 169.25/25.93 | | | | | | | | | simplifying with (14), (15), (16), (22), (36),
% 169.25/25.93 | | | | | | | | | (37), (39), (40), (57), (58) gives:
% 169.25/25.93 | | | | | | | | | (124) all_41_0 = all_41_1 | ? [v0: any] : ? [v1: any] :
% 169.25/25.93 | | | | | | | | | (apply(all_32_6, all_49_0, all_41_0) = v1 &
% 169.25/25.93 | | | | | | | | | apply(all_32_6, all_49_0, all_41_1) = v0 & ( ~ (v1
% 169.25/25.93 | | | | | | | | | = 0) | ~ (v0 = 0)))
% 169.25/25.93 | | | | | | | | |
% 169.25/25.93 | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_4,
% 169.25/25.93 | | | | | | | | | all_32_5, all_49_0, all_41_0, all_41_1,
% 169.25/25.93 | | | | | | | | | simplifying with (14), (15), (16), (22), (36),
% 169.25/25.93 | | | | | | | | | (37), (39), (40), (57), (58) gives:
% 169.25/25.93 | | | | | | | | | (125) all_41_0 = all_41_1 | ? [v0: any] : ? [v1: any] :
% 169.25/25.93 | | | | | | | | | (apply(all_32_6, all_49_0, all_41_0) = v0 &
% 169.25/25.93 | | | | | | | | | apply(all_32_6, all_49_0, all_41_1) = v1 & ( ~ (v1
% 169.25/25.93 | | | | | | | | | = 0) | ~ (v0 = 0)))
% 169.25/25.93 | | | | | | | | |
% 169.25/25.93 | | | | | | | | | GROUND_INST: instantiating (1) with all_32_6, all_32_4,
% 169.25/25.93 | | | | | | | | | all_32_5, all_49_0, simplifying with (14), (15),
% 169.25/25.93 | | | | | | | | | (16), (22), (57), (58) gives:
% 169.25/25.93 | | | | | | | | | (126) ? [v0: $i] : (apply(all_32_6, all_49_0, v0) = 0 &
% 169.25/25.93 | | | | | | | | | member(v0, all_32_5) = 0 & $i(v0))
% 169.25/25.93 | | | | | | | | |
% 169.25/25.93 | | | | | | | | | GROUND_INST: instantiating (2) with all_32_8, all_32_5,
% 169.25/25.93 | | | | | | | | | all_32_4, all_41_1, all_49_0, all_41_2,
% 169.25/25.93 | | | | | | | | | simplifying with (12), (15), (16), (20), (35),
% 169.25/25.93 | | | | | | | | | (36), (38), (39), (57), (58) gives:
% 169.25/25.93 | | | | | | | | | (127) all_49_0 = all_41_2 | ? [v0: any] : ? [v1: any] :
% 169.25/25.93 | | | | | | | | | (apply(all_32_8, all_41_1, all_49_0) = v0 &
% 169.25/25.93 | | | | | | | | | apply(all_32_8, all_41_1, all_41_2) = v1 & ( ~ (v1
% 169.25/25.93 | | | | | | | | | = 0) | ~ (v0 = 0)))
% 169.25/25.93 | | | | | | | | |
% 169.25/25.93 | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_4,
% 169.25/25.93 | | | | | | | | | all_32_5, all_51_0, all_41_0, all_41_1,
% 169.25/25.93 | | | | | | | | | simplifying with (14), (15), (16), (22), (36),
% 169.25/25.93 | | | | | | | | | (37), (39), (40), (61), (62) gives:
% 169.25/25.93 | | | | | | | | | (128) all_41_0 = all_41_1 | ? [v0: any] : ? [v1: any] :
% 169.25/25.93 | | | | | | | | | (apply(all_32_6, all_51_0, all_41_0) = v0 &
% 169.25/25.93 | | | | | | | | | apply(all_32_6, all_51_0, all_41_1) = v1 & ( ~ (v1
% 169.25/25.93 | | | | | | | | | = 0) | ~ (v0 = 0)))
% 169.25/25.93 | | | | | | | | |
% 169.25/25.93 | | | | | | | | | GROUND_INST: instantiating (1) with all_32_6, all_32_4,
% 169.25/25.93 | | | | | | | | | all_32_5, all_51_0, simplifying with (14), (15),
% 169.25/25.93 | | | | | | | | | (16), (22), (61), (62) gives:
% 169.25/25.93 | | | | | | | | | (129) ? [v0: $i] : (apply(all_32_6, all_51_0, v0) = 0 &
% 169.25/25.93 | | | | | | | | | member(v0, all_32_5) = 0 & $i(v0))
% 169.25/25.93 | | | | | | | | |
% 169.25/25.93 | | | | | | | | | GROUND_INST: instantiating (2) with all_32_8, all_32_5,
% 169.25/25.93 | | | | | | | | | all_32_4, all_41_0, all_41_2, all_51_0,
% 169.25/25.93 | | | | | | | | | simplifying with (12), (15), (16), (20), (35),
% 169.25/25.93 | | | | | | | | | (37), (38), (40), (61), (62) gives:
% 169.25/25.93 | | | | | | | | | (130) all_51_0 = all_41_2 | ? [v0: any] : ? [v1: any] :
% 169.25/25.93 | | | | | | | | | (apply(all_32_8, all_41_0, all_51_0) = v1 &
% 169.25/25.93 | | | | | | | | | apply(all_32_8, all_41_0, all_41_2) = v0 & ( ~ (v1
% 169.25/25.93 | | | | | | | | | = 0) | ~ (v0 = 0)))
% 169.25/25.93 | | | | | | | | |
% 169.25/25.93 | | | | | | | | | GROUND_INST: instantiating (2) with all_32_8, all_32_5,
% 169.25/25.93 | | | | | | | | | all_32_4, all_41_0, all_51_0, all_41_2,
% 169.25/25.93 | | | | | | | | | simplifying with (12), (15), (16), (20), (35),
% 169.25/25.93 | | | | | | | | | (37), (38), (40), (61), (62) gives:
% 169.25/25.93 | | | | | | | | | (131) all_51_0 = all_41_2 | ? [v0: any] : ? [v1: any] :
% 169.25/25.93 | | | | | | | | | (apply(all_32_8, all_41_0, all_51_0) = v0 &
% 169.25/25.93 | | | | | | | | | apply(all_32_8, all_41_0, all_41_2) = v1 & ( ~ (v1
% 169.25/25.93 | | | | | | | | | = 0) | ~ (v0 = 0)))
% 169.25/25.93 | | | | | | | | |
% 169.25/25.93 | | | | | | | | | GROUND_INST: instantiating (2) with all_32_8, all_32_5,
% 169.25/25.93 | | | | | | | | | all_32_4, all_41_0, all_49_0, all_51_0,
% 169.25/25.93 | | | | | | | | | simplifying with (12), (15), (16), (20), (37),
% 169.25/25.93 | | | | | | | | | (40), (57), (58), (61), (62) gives:
% 169.25/25.93 | | | | | | | | | (132) all_51_0 = all_49_0 | ? [v0: any] : ? [v1: any] :
% 169.25/25.93 | | | | | | | | | (apply(all_32_8, all_41_0, all_51_0) = v1 &
% 169.25/25.93 | | | | | | | | | apply(all_32_8, all_41_0, all_49_0) = v0 & ( ~ (v1
% 169.25/25.93 | | | | | | | | | = 0) | ~ (v0 = 0)))
% 169.25/25.93 | | | | | | | | |
% 169.25/25.93 | | | | | | | | | GROUND_INST: instantiating (2) with all_32_8, all_32_5,
% 169.25/25.93 | | | | | | | | | all_32_4, all_41_0, all_51_0, all_49_0,
% 169.25/25.93 | | | | | | | | | simplifying with (12), (15), (16), (20), (37),
% 169.25/25.93 | | | | | | | | | (40), (57), (58), (61), (62) gives:
% 169.25/25.93 | | | | | | | | | (133) all_51_0 = all_49_0 | ? [v0: any] : ? [v1: any] :
% 169.25/25.93 | | | | | | | | | (apply(all_32_8, all_41_0, all_51_0) = v0 &
% 169.25/25.94 | | | | | | | | | apply(all_32_8, all_41_0, all_49_0) = v1 & ( ~ (v1
% 169.25/25.94 | | | | | | | | | = 0) | ~ (v0 = 0)))
% 169.25/25.94 | | | | | | | | |
% 169.25/25.94 | | | | | | | | | GROUND_INST: instantiating (1) with all_32_8, all_32_5,
% 169.25/25.94 | | | | | | | | | all_32_4, all_53_0, simplifying with (12), (15),
% 169.25/25.94 | | | | | | | | | (16), (20), (65), (66) gives:
% 169.25/25.94 | | | | | | | | | (134) ? [v0: $i] : (apply(all_32_8, all_53_0, v0) = 0 &
% 169.25/25.94 | | | | | | | | | member(v0, all_32_4) = 0 & $i(v0))
% 169.25/25.94 | | | | | | | | |
% 169.25/25.94 | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_4,
% 169.25/25.94 | | | | | | | | | all_32_5, all_41_2, all_55_0, all_41_0,
% 169.25/25.94 | | | | | | | | | simplifying with (14), (15), (16), (22), (35),
% 169.25/25.94 | | | | | | | | | (37), (38), (40), (68), (69) gives:
% 169.25/25.94 | | | | | | | | | (135) all_55_0 = all_41_0 | ? [v0: any] : ? [v1: any] :
% 169.25/25.94 | | | | | | | | | (apply(all_32_6, all_41_2, all_55_0) = v0 &
% 169.25/25.94 | | | | | | | | | apply(all_32_6, all_41_2, all_41_0) = v1 & ( ~ (v1
% 169.25/25.94 | | | | | | | | | = 0) | ~ (v0 = 0)))
% 169.25/25.94 | | | | | | | | |
% 169.25/25.94 | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_4,
% 169.25/25.94 | | | | | | | | | all_32_5, all_49_0, all_41_0, all_55_0,
% 169.25/25.94 | | | | | | | | | simplifying with (14), (15), (16), (22), (37),
% 169.25/25.94 | | | | | | | | | (40), (57), (58), (68), (69) gives:
% 169.25/25.94 | | | | | | | | | (136) all_55_0 = all_41_0 | ? [v0: any] : ? [v1: any] :
% 169.25/25.94 | | | | | | | | | (apply(all_32_6, all_49_0, all_55_0) = v1 &
% 169.25/25.94 | | | | | | | | | apply(all_32_6, all_49_0, all_41_0) = v0 & ( ~ (v1
% 169.25/25.94 | | | | | | | | | = 0) | ~ (v0 = 0)))
% 169.25/25.94 | | | | | | | | |
% 169.25/25.94 | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_4,
% 169.25/25.94 | | | | | | | | | all_32_5, all_49_0, all_55_0, all_41_0,
% 169.25/25.94 | | | | | | | | | simplifying with (14), (15), (16), (22), (37),
% 169.25/25.94 | | | | | | | | | (40), (57), (58), (68), (69) gives:
% 169.25/25.94 | | | | | | | | | (137) all_55_0 = all_41_0 | ? [v0: any] : ? [v1: any] :
% 169.25/25.94 | | | | | | | | | (apply(all_32_6, all_49_0, all_55_0) = v0 &
% 169.25/25.94 | | | | | | | | | apply(all_32_6, all_49_0, all_41_0) = v1 & ( ~ (v1
% 169.25/25.94 | | | | | | | | | = 0) | ~ (v0 = 0)))
% 169.25/25.94 | | | | | | | | |
% 169.25/25.94 | | | | | | | | | GROUND_INST: instantiating (2) with all_32_7, all_32_4,
% 169.25/25.94 | | | | | | | | | all_32_5, all_51_0, all_41_1, all_55_0,
% 169.25/25.94 | | | | | | | | | simplifying with (13), (15), (16), (21), (36),
% 169.25/25.94 | | | | | | | | | (39), (61), (62), (68), (69) gives:
% 169.25/25.94 | | | | | | | | | (138) all_55_0 = all_41_1 | ? [v0: any] : ? [v1: any] :
% 169.25/25.94 | | | | | | | | | (apply(all_32_7, all_51_0, all_55_0) = v1 &
% 169.25/25.94 | | | | | | | | | apply(all_32_7, all_51_0, all_41_1) = v0 & ( ~ (v1
% 169.25/25.94 | | | | | | | | | = 0) | ~ (v0 = 0)))
% 169.25/25.94 | | | | | | | | |
% 169.25/25.94 | | | | | | | | | GROUND_INST: instantiating (2) with all_32_7, all_32_4,
% 169.25/25.94 | | | | | | | | | all_32_5, all_51_0, all_55_0, all_41_1,
% 169.25/25.94 | | | | | | | | | simplifying with (13), (15), (16), (21), (36),
% 169.25/25.94 | | | | | | | | | (39), (61), (62), (68), (69) gives:
% 169.25/25.94 | | | | | | | | | (139) all_55_0 = all_41_1 | ? [v0: any] : ? [v1: any] :
% 169.25/25.94 | | | | | | | | | (apply(all_32_7, all_51_0, all_55_0) = v0 &
% 169.25/25.94 | | | | | | | | | apply(all_32_7, all_51_0, all_41_1) = v1 & ( ~ (v1
% 169.25/25.94 | | | | | | | | | = 0) | ~ (v0 = 0)))
% 169.25/25.94 | | | | | | | | |
% 169.25/25.94 | | | | | | | | | GROUND_INST: instantiating (2) with all_32_7, all_32_4,
% 169.25/25.94 | | | | | | | | | all_32_5, all_49_0, all_41_1, all_55_0,
% 169.25/25.94 | | | | | | | | | simplifying with (13), (15), (16), (21), (36),
% 169.25/25.94 | | | | | | | | | (39), (57), (58), (68), (69) gives:
% 169.25/25.94 | | | | | | | | | (140) all_55_0 = all_41_1 | ? [v0: any] : ? [v1: any] :
% 169.25/25.94 | | | | | | | | | (apply(all_32_7, all_49_0, all_55_0) = v1 &
% 169.25/25.94 | | | | | | | | | apply(all_32_7, all_49_0, all_41_1) = v0 & ( ~ (v1
% 169.25/25.94 | | | | | | | | | = 0) | ~ (v0 = 0)))
% 169.25/25.94 | | | | | | | | |
% 169.25/25.94 | | | | | | | | | GROUND_INST: instantiating (2) with all_32_7, all_32_4,
% 169.25/25.94 | | | | | | | | | all_32_5, all_49_0, all_55_0, all_41_1,
% 169.25/25.94 | | | | | | | | | simplifying with (13), (15), (16), (21), (36),
% 169.25/25.94 | | | | | | | | | (39), (57), (58), (68), (69) gives:
% 169.25/25.94 | | | | | | | | | (141) all_55_0 = all_41_1 | ? [v0: any] : ? [v1: any] :
% 169.25/25.94 | | | | | | | | | (apply(all_32_7, all_49_0, all_55_0) = v0 &
% 169.25/25.94 | | | | | | | | | apply(all_32_7, all_49_0, all_41_1) = v1 & ( ~ (v1
% 169.25/25.94 | | | | | | | | | = 0) | ~ (v0 = 0)))
% 169.25/25.94 | | | | | | | | |
% 169.25/25.94 | | | | | | | | | GROUND_INST: instantiating (2) with all_32_8, all_32_5,
% 169.25/25.94 | | | | | | | | | all_32_4, all_55_0, all_51_0, all_41_2,
% 169.25/25.94 | | | | | | | | | simplifying with (12), (15), (16), (20), (35),
% 169.25/25.94 | | | | | | | | | (38), (61), (62), (68), (69) gives:
% 169.25/25.94 | | | | | | | | | (142) all_51_0 = all_41_2 | ? [v0: any] : ? [v1: any] :
% 169.25/25.94 | | | | | | | | | (apply(all_32_8, all_55_0, all_51_0) = v0 &
% 169.25/25.94 | | | | | | | | | apply(all_32_8, all_55_0, all_41_2) = v1 & ( ~ (v1
% 169.25/25.94 | | | | | | | | | = 0) | ~ (v0 = 0)))
% 169.25/25.94 | | | | | | | | |
% 169.25/25.94 | | | | | | | | | GROUND_INST: instantiating (2) with all_32_8, all_32_5,
% 169.25/25.94 | | | | | | | | | all_32_4, all_55_0, all_41_2, all_51_0,
% 169.25/25.94 | | | | | | | | | simplifying with (12), (15), (16), (20), (35),
% 169.25/25.94 | | | | | | | | | (38), (61), (62), (68), (69) gives:
% 169.25/25.94 | | | | | | | | | (143) all_51_0 = all_41_2 | ? [v0: any] : ? [v1: any] :
% 169.25/25.94 | | | | | | | | | (apply(all_32_8, all_55_0, all_51_0) = v1 &
% 169.25/25.94 | | | | | | | | | apply(all_32_8, all_55_0, all_41_2) = v0 & ( ~ (v1
% 169.25/25.94 | | | | | | | | | = 0) | ~ (v0 = 0)))
% 169.25/25.94 | | | | | | | | |
% 169.25/25.94 | | | | | | | | | GROUND_INST: instantiating (2) with all_32_8, all_32_5,
% 169.25/25.94 | | | | | | | | | all_32_4, all_55_0, all_49_0, all_51_0,
% 169.25/25.94 | | | | | | | | | simplifying with (12), (15), (16), (20), (57),
% 169.25/25.94 | | | | | | | | | (58), (61), (62), (68), (69) gives:
% 169.25/25.94 | | | | | | | | | (144) all_51_0 = all_49_0 | ? [v0: any] : ? [v1: any] :
% 169.25/25.94 | | | | | | | | | (apply(all_32_8, all_55_0, all_51_0) = v1 &
% 169.25/25.94 | | | | | | | | | apply(all_32_8, all_55_0, all_49_0) = v0 & ( ~ (v1
% 169.25/25.94 | | | | | | | | | = 0) | ~ (v0 = 0)))
% 169.25/25.94 | | | | | | | | |
% 169.25/25.94 | | | | | | | | | GROUND_INST: instantiating (2) with all_32_8, all_32_5,
% 169.25/25.94 | | | | | | | | | all_32_4, all_55_0, all_51_0, all_49_0,
% 169.25/25.94 | | | | | | | | | simplifying with (12), (15), (16), (20), (57),
% 169.25/25.94 | | | | | | | | | (58), (61), (62), (68), (69) gives:
% 169.25/25.94 | | | | | | | | | (145) all_51_0 = all_49_0 | ? [v0: any] : ? [v1: any] :
% 169.25/25.94 | | | | | | | | | (apply(all_32_8, all_55_0, all_51_0) = v0 &
% 169.25/25.94 | | | | | | | | | apply(all_32_8, all_55_0, all_49_0) = v1 & ( ~ (v1
% 169.25/25.94 | | | | | | | | | = 0) | ~ (v0 = 0)))
% 169.25/25.94 | | | | | | | | |
% 169.25/25.95 | | | | | | | | | GROUND_INST: instantiating (1) with all_32_8, all_32_5,
% 169.25/25.95 | | | | | | | | | all_32_4, all_55_0, simplifying with (12), (15),
% 169.25/25.95 | | | | | | | | | (16), (20), (68), (69) gives:
% 169.25/25.95 | | | | | | | | | (146) ? [v0: $i] : (apply(all_32_8, all_55_0, v0) = 0 &
% 169.25/25.95 | | | | | | | | | member(v0, all_32_4) = 0 & $i(v0))
% 169.25/25.95 | | | | | | | | |
% 169.25/25.95 | | | | | | | | | GROUND_INST: instantiating (4) with all_32_8, all_32_5,
% 169.25/25.95 | | | | | | | | | all_32_4, all_41_1, all_49_0, all_41_2,
% 169.25/25.95 | | | | | | | | | simplifying with (12), (15), (16), (20), (35),
% 169.25/25.95 | | | | | | | | | (36), (57), (59), (123) gives:
% 169.25/25.95 | | | | | | | | | (147) all_49_0 = all_41_2 | ? [v0: any] : ? [v1: any] :
% 169.25/25.95 | | | | | | | | | ? [v2: any] : (member(all_49_0, all_32_4) = v1 &
% 169.25/25.95 | | | | | | | | | member(all_41_1, all_32_5) = v0 & member(all_41_2,
% 169.25/25.95 | | | | | | | | | all_32_4) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 169.25/25.95 | | | | | | | | | (v0 = 0)))
% 169.25/25.95 | | | | | | | | |
% 169.25/25.95 | | | | | | | | | GROUND_INST: instantiating (3) with all_32_8, all_32_5,
% 169.25/25.95 | | | | | | | | | all_32_4, all_41_1, all_41_2, all_49_0,
% 169.25/25.95 | | | | | | | | | simplifying with (12), (15), (16), (20), (35),
% 169.25/25.95 | | | | | | | | | (36), (38), (57), (59) gives:
% 169.25/25.95 | | | | | | | | | (148) all_49_0 = all_41_2 | ? [v0: any] : ? [v1: any] :
% 169.25/25.95 | | | | | | | | | ? [v2: any] : (apply(all_32_8, all_41_1, all_41_2) =
% 169.25/25.95 | | | | | | | | | v2 & member(all_49_0, all_32_4) = v1 &
% 169.25/25.95 | | | | | | | | | member(all_41_1, all_32_5) = v0 & ( ~ (v2 = 0) | ~
% 169.25/25.95 | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 169.25/25.95 | | | | | | | | |
% 169.25/25.95 | | | | | | | | | GROUND_INST: instantiating (3) with all_32_8, all_32_5,
% 169.25/25.95 | | | | | | | | | all_32_4, all_41_0, all_41_2, all_51_0,
% 169.25/25.95 | | | | | | | | | simplifying with (12), (15), (16), (20), (35),
% 169.25/25.95 | | | | | | | | | (37), (38), (61), (63) gives:
% 169.25/25.95 | | | | | | | | | (149) all_51_0 = all_41_2 | ? [v0: any] : ? [v1: any] :
% 169.25/25.95 | | | | | | | | | ? [v2: any] : (apply(all_32_8, all_41_0, all_41_2) =
% 169.25/25.95 | | | | | | | | | v2 & member(all_51_0, all_32_4) = v1 &
% 169.25/25.95 | | | | | | | | | member(all_41_0, all_32_5) = v0 & ( ~ (v2 = 0) | ~
% 169.25/25.95 | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 169.25/25.95 | | | | | | | | |
% 169.25/25.95 | | | | | | | | | GROUND_INST: instantiating (3) with all_32_8, all_32_5,
% 169.25/25.95 | | | | | | | | | all_32_4, all_41_0, all_49_0, all_51_0,
% 169.25/25.95 | | | | | | | | | simplifying with (12), (15), (16), (20), (37),
% 169.25/25.95 | | | | | | | | | (57), (58), (61), (63) gives:
% 169.25/25.95 | | | | | | | | | (150) all_51_0 = all_49_0 | ? [v0: any] : ? [v1: any] :
% 169.25/25.95 | | | | | | | | | ? [v2: any] : (apply(all_32_8, all_41_0, all_49_0) =
% 169.25/25.95 | | | | | | | | | v2 & member(all_51_0, all_32_4) = v1 &
% 169.25/25.95 | | | | | | | | | member(all_41_0, all_32_5) = v0 & ( ~ (v2 = 0) | ~
% 169.25/25.95 | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 169.25/25.95 | | | | | | | | |
% 169.25/25.95 | | | | | | | | | GROUND_INST: instantiating (3) with all_32_6, all_32_4,
% 169.25/25.95 | | | | | | | | | all_32_5, all_41_2, all_41_0, all_55_0,
% 169.25/25.95 | | | | | | | | | simplifying with (14), (15), (16), (22), (35),
% 169.25/25.95 | | | | | | | | | (37), (40), (68), (70) gives:
% 169.25/25.95 | | | | | | | | | (151) all_55_0 = all_41_0 | ? [v0: any] : ? [v1: any] :
% 169.25/25.95 | | | | | | | | | ? [v2: any] : (apply(all_32_6, all_41_2, all_41_0) =
% 169.25/25.95 | | | | | | | | | v2 & member(all_55_0, all_32_5) = v1 &
% 169.25/25.95 | | | | | | | | | member(all_41_2, all_32_4) = v0 & ( ~ (v2 = 0) | ~
% 169.25/25.95 | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 169.25/25.95 | | | | | | | | |
% 169.25/25.95 | | | | | | | | | GROUND_INST: instantiating (5) with all_32_7, all_32_8,
% 169.25/25.95 | | | | | | | | | all_32_5, all_32_4, all_32_5, all_41_1, all_41_1,
% 169.25/25.95 | | | | | | | | | all_32_3, simplifying with (12), (13), (15), (16),
% 169.25/25.95 | | | | | | | | | (24), (36), (47) gives:
% 169.53/25.95 | | | | | | | | | (152) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3:
% 169.53/25.95 | | | | | | | | | int] : ? [v4: int] : ? [v5: int] : ($i(v2) & ((v5
% 169.53/25.95 | | | | | | | | | = 0 & v4 = 0 & v3 = 0 & apply(all_32_7, v2,
% 169.53/25.95 | | | | | | | | | all_41_1) = 0 & apply(all_32_8, all_41_1, v2)
% 169.53/25.95 | | | | | | | | | = 0 & member(v2, all_32_4) = 0) |
% 169.53/25.95 | | | | | | | | | (member(all_41_1, all_32_5) = v1 &
% 169.53/25.95 | | | | | | | | | member(all_41_1, all_32_5) = v0 & ( ~ (v1 = 0)
% 169.53/25.95 | | | | | | | | | | ~ (v0 = 0)))))
% 169.53/25.95 | | | | | | | | |
% 169.53/25.95 | | | | | | | | | GROUND_INST: instantiating (5) with all_32_7, all_32_8,
% 169.53/25.95 | | | | | | | | | all_32_5, all_32_4, all_32_5, all_41_0, all_41_0,
% 169.53/25.95 | | | | | | | | | all_32_3, simplifying with (12), (13), (15), (16),
% 169.53/25.95 | | | | | | | | | (24), (37), (53) gives:
% 169.53/25.95 | | | | | | | | | (153) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3:
% 169.53/25.95 | | | | | | | | | int] : ? [v4: int] : ? [v5: int] : ($i(v2) & ((v5
% 169.53/25.95 | | | | | | | | | = 0 & v4 = 0 & v3 = 0 & apply(all_32_7, v2,
% 169.53/25.95 | | | | | | | | | all_41_0) = 0 & apply(all_32_8, all_41_0, v2)
% 169.53/25.95 | | | | | | | | | = 0 & member(v2, all_32_4) = 0) |
% 169.53/25.95 | | | | | | | | | (member(all_41_0, all_32_5) = v1 &
% 169.53/25.95 | | | | | | | | | member(all_41_0, all_32_5) = v0 & ( ~ (v1 = 0)
% 169.53/25.95 | | | | | | | | | | ~ (v0 = 0)))))
% 169.53/25.95 | | | | | | | | |
% 169.53/25.95 | | | | | | | | | GROUND_INST: instantiating (5) with all_32_8, all_32_6,
% 169.53/25.95 | | | | | | | | | all_32_4, all_32_5, all_32_4, all_41_2, all_41_2,
% 169.53/25.95 | | | | | | | | | all_32_2, simplifying with (12), (14), (15), (16),
% 169.53/25.95 | | | | | | | | | (23), (35), (45) gives:
% 169.53/25.95 | | | | | | | | | (154) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3:
% 169.53/25.95 | | | | | | | | | int] : ? [v4: int] : ? [v5: int] : ($i(v2) & ((v5
% 169.53/25.95 | | | | | | | | | = 0 & v4 = 0 & v3 = 0 & apply(all_32_6,
% 169.53/25.95 | | | | | | | | | all_41_2, v2) = 0 & apply(all_32_8, v2,
% 169.53/25.95 | | | | | | | | | all_41_2) = 0 & member(v2, all_32_5) = 0) |
% 169.53/25.95 | | | | | | | | | (member(all_41_2, all_32_4) = v1 &
% 169.53/25.95 | | | | | | | | | member(all_41_2, all_32_4) = v0 & ( ~ (v1 = 0)
% 169.53/25.95 | | | | | | | | | | ~ (v0 = 0)))))
% 169.53/25.95 | | | | | | | | |
% 169.53/25.95 | | | | | | | | | DELTA: instantiating (129) with fresh symbol all_109_0 gives:
% 169.53/25.95 | | | | | | | | | (155) apply(all_32_6, all_51_0, all_109_0) = 0 &
% 169.53/25.95 | | | | | | | | | member(all_109_0, all_32_5) = 0 & $i(all_109_0)
% 169.53/25.95 | | | | | | | | |
% 169.53/25.95 | | | | | | | | | ALPHA: (155) implies:
% 169.53/25.95 | | | | | | | | | (156) $i(all_109_0)
% 169.53/25.95 | | | | | | | | | (157) member(all_109_0, all_32_5) = 0
% 169.53/25.95 | | | | | | | | | (158) apply(all_32_6, all_51_0, all_109_0) = 0
% 169.53/25.95 | | | | | | | | |
% 169.53/25.95 | | | | | | | | | DELTA: instantiating (146) with fresh symbol all_111_0 gives:
% 169.53/25.96 | | | | | | | | | (159) apply(all_32_8, all_55_0, all_111_0) = 0 &
% 169.53/25.96 | | | | | | | | | member(all_111_0, all_32_4) = 0 & $i(all_111_0)
% 169.53/25.96 | | | | | | | | |
% 169.53/25.96 | | | | | | | | | ALPHA: (159) implies:
% 169.53/25.96 | | | | | | | | | (160) $i(all_111_0)
% 169.53/25.96 | | | | | | | | | (161) member(all_111_0, all_32_4) = 0
% 169.55/25.96 | | | | | | | | | (162) apply(all_32_8, all_55_0, all_111_0) = 0
% 169.55/25.96 | | | | | | | | |
% 169.55/25.96 | | | | | | | | | DELTA: instantiating (134) with fresh symbol all_113_0 gives:
% 169.55/25.96 | | | | | | | | | (163) apply(all_32_8, all_53_0, all_113_0) = 0 &
% 169.55/25.96 | | | | | | | | | member(all_113_0, all_32_4) = 0 & $i(all_113_0)
% 169.55/25.96 | | | | | | | | |
% 169.55/25.96 | | | | | | | | | ALPHA: (163) implies:
% 169.55/25.96 | | | | | | | | | (164) $i(all_113_0)
% 169.55/25.96 | | | | | | | | | (165) member(all_113_0, all_32_4) = 0
% 169.55/25.96 | | | | | | | | |
% 169.55/25.96 | | | | | | | | | DELTA: instantiating (126) with fresh symbol all_117_0 gives:
% 169.55/25.96 | | | | | | | | | (166) apply(all_32_6, all_49_0, all_117_0) = 0 &
% 169.55/25.96 | | | | | | | | | member(all_117_0, all_32_5) = 0 & $i(all_117_0)
% 169.55/25.96 | | | | | | | | |
% 169.55/25.96 | | | | | | | | | ALPHA: (166) implies:
% 169.55/25.96 | | | | | | | | | (167) $i(all_117_0)
% 169.55/25.96 | | | | | | | | | (168) member(all_117_0, all_32_5) = 0
% 169.55/25.96 | | | | | | | | | (169) apply(all_32_6, all_49_0, all_117_0) = 0
% 169.55/25.96 | | | | | | | | |
% 169.55/25.96 | | | | | | | | | DELTA: instantiating (154) with fresh symbols all_119_0,
% 169.55/25.96 | | | | | | | | | all_119_1, all_119_2, all_119_3, all_119_4, all_119_5
% 169.55/25.96 | | | | | | | | | gives:
% 169.55/25.96 | | | | | | | | | (170) $i(all_119_3) & ((all_119_0 = 0 & all_119_1 = 0 &
% 169.55/25.96 | | | | | | | | | all_119_2 = 0 & apply(all_32_6, all_41_2,
% 169.55/25.96 | | | | | | | | | all_119_3) = 0 & apply(all_32_8, all_119_3,
% 169.55/25.96 | | | | | | | | | all_41_2) = 0 & member(all_119_3, all_32_5) =
% 169.55/25.96 | | | | | | | | | 0) | (member(all_41_2, all_32_4) = all_119_4 &
% 169.55/25.96 | | | | | | | | | member(all_41_2, all_32_4) = all_119_5 & ( ~
% 169.55/25.96 | | | | | | | | | (all_119_4 = 0) | ~ (all_119_5 = 0))))
% 169.55/25.96 | | | | | | | | |
% 169.55/25.96 | | | | | | | | | ALPHA: (170) implies:
% 169.55/25.96 | | | | | | | | | (171) $i(all_119_3)
% 169.55/25.96 | | | | | | | | | (172) (all_119_0 = 0 & all_119_1 = 0 & all_119_2 = 0 &
% 169.55/25.96 | | | | | | | | | apply(all_32_6, all_41_2, all_119_3) = 0 &
% 169.55/25.96 | | | | | | | | | apply(all_32_8, all_119_3, all_41_2) = 0 &
% 169.55/25.96 | | | | | | | | | member(all_119_3, all_32_5) = 0) |
% 169.55/25.96 | | | | | | | | | (member(all_41_2, all_32_4) = all_119_4 &
% 169.55/25.96 | | | | | | | | | member(all_41_2, all_32_4) = all_119_5 & ( ~
% 169.55/25.96 | | | | | | | | | (all_119_4 = 0) | ~ (all_119_5 = 0)))
% 169.55/25.96 | | | | | | | | |
% 169.55/25.96 | | | | | | | | | DELTA: instantiating (152) with fresh symbols all_121_0,
% 169.55/25.96 | | | | | | | | | all_121_1, all_121_2, all_121_3, all_121_4, all_121_5
% 169.55/25.96 | | | | | | | | | gives:
% 169.55/25.96 | | | | | | | | | (173) $i(all_121_3) & ((all_121_0 = 0 & all_121_1 = 0 &
% 169.55/25.96 | | | | | | | | | all_121_2 = 0 & apply(all_32_7, all_121_3,
% 169.55/25.96 | | | | | | | | | all_41_1) = 0 & apply(all_32_8, all_41_1,
% 169.55/25.96 | | | | | | | | | all_121_3) = 0 & member(all_121_3, all_32_4) =
% 169.55/25.96 | | | | | | | | | 0) | (member(all_41_1, all_32_5) = all_121_4 &
% 169.55/25.96 | | | | | | | | | member(all_41_1, all_32_5) = all_121_5 & ( ~
% 169.55/25.96 | | | | | | | | | (all_121_4 = 0) | ~ (all_121_5 = 0))))
% 169.55/25.96 | | | | | | | | |
% 169.55/25.96 | | | | | | | | | ALPHA: (173) implies:
% 169.55/25.96 | | | | | | | | | (174) $i(all_121_3)
% 169.55/25.96 | | | | | | | | | (175) (all_121_0 = 0 & all_121_1 = 0 & all_121_2 = 0 &
% 169.55/25.96 | | | | | | | | | apply(all_32_7, all_121_3, all_41_1) = 0 &
% 169.55/25.96 | | | | | | | | | apply(all_32_8, all_41_1, all_121_3) = 0 &
% 169.55/25.96 | | | | | | | | | member(all_121_3, all_32_4) = 0) |
% 169.55/25.96 | | | | | | | | | (member(all_41_1, all_32_5) = all_121_4 &
% 169.55/25.96 | | | | | | | | | member(all_41_1, all_32_5) = all_121_5 & ( ~
% 169.55/25.96 | | | | | | | | | (all_121_4 = 0) | ~ (all_121_5 = 0)))
% 169.55/25.96 | | | | | | | | |
% 169.55/25.96 | | | | | | | | | DELTA: instantiating (153) with fresh symbols all_123_0,
% 169.55/25.96 | | | | | | | | | all_123_1, all_123_2, all_123_3, all_123_4, all_123_5
% 169.55/25.96 | | | | | | | | | gives:
% 169.55/25.96 | | | | | | | | | (176) $i(all_123_3) & ((all_123_0 = 0 & all_123_1 = 0 &
% 169.55/25.96 | | | | | | | | | all_123_2 = 0 & apply(all_32_7, all_123_3,
% 169.55/25.96 | | | | | | | | | all_41_0) = 0 & apply(all_32_8, all_41_0,
% 169.55/25.96 | | | | | | | | | all_123_3) = 0 & member(all_123_3, all_32_4) =
% 169.55/25.96 | | | | | | | | | 0) | (member(all_41_0, all_32_5) = all_123_4 &
% 169.55/25.96 | | | | | | | | | member(all_41_0, all_32_5) = all_123_5 & ( ~
% 169.55/25.96 | | | | | | | | | (all_123_4 = 0) | ~ (all_123_5 = 0))))
% 169.55/25.96 | | | | | | | | |
% 169.55/25.96 | | | | | | | | | ALPHA: (176) implies:
% 169.55/25.96 | | | | | | | | | (177) $i(all_123_3)
% 169.55/25.96 | | | | | | | | | (178) (all_123_0 = 0 & all_123_1 = 0 & all_123_2 = 0 &
% 169.55/25.96 | | | | | | | | | apply(all_32_7, all_123_3, all_41_0) = 0 &
% 169.55/25.96 | | | | | | | | | apply(all_32_8, all_41_0, all_123_3) = 0 &
% 169.55/25.96 | | | | | | | | | member(all_123_3, all_32_4) = 0) |
% 169.55/25.96 | | | | | | | | | (member(all_41_0, all_32_5) = all_123_4 &
% 169.55/25.96 | | | | | | | | | member(all_41_0, all_32_5) = all_123_5 & ( ~
% 169.55/25.96 | | | | | | | | | (all_123_4 = 0) | ~ (all_123_5 = 0)))
% 169.55/25.96 | | | | | | | | |
% 169.55/25.96 | | | | | | | | | BETA: splitting (178) gives:
% 169.55/25.96 | | | | | | | | |
% 169.55/25.96 | | | | | | | | | Case 1:
% 169.55/25.96 | | | | | | | | | |
% 169.55/25.96 | | | | | | | | | | (179) all_123_0 = 0 & all_123_1 = 0 & all_123_2 = 0 &
% 169.55/25.96 | | | | | | | | | | apply(all_32_7, all_123_3, all_41_0) = 0 &
% 169.55/25.96 | | | | | | | | | | apply(all_32_8, all_41_0, all_123_3) = 0 &
% 169.55/25.96 | | | | | | | | | | member(all_123_3, all_32_4) = 0
% 169.55/25.96 | | | | | | | | | |
% 169.55/25.96 | | | | | | | | | | ALPHA: (179) implies:
% 169.55/25.96 | | | | | | | | | | (180) member(all_123_3, all_32_4) = 0
% 169.55/25.96 | | | | | | | | | | (181) apply(all_32_8, all_41_0, all_123_3) = 0
% 169.55/25.96 | | | | | | | | | | (182) apply(all_32_7, all_123_3, all_41_0) = 0
% 169.55/25.96 | | | | | | | | | |
% 169.55/25.96 | | | | | | | | | | BETA: splitting (125) gives:
% 169.55/25.96 | | | | | | | | | |
% 169.55/25.96 | | | | | | | | | | Case 1:
% 169.55/25.96 | | | | | | | | | | |
% 169.55/25.96 | | | | | | | | | | | (183) all_41_0 = all_41_1
% 169.55/25.96 | | | | | | | | | | |
% 169.55/25.96 | | | | | | | | | | | REDUCE: (34), (183) imply:
% 169.55/25.96 | | | | | | | | | | | (184) $false
% 169.55/25.96 | | | | | | | | | | |
% 169.55/25.96 | | | | | | | | | | | CLOSE: (184) is inconsistent.
% 169.55/25.96 | | | | | | | | | | |
% 169.55/25.96 | | | | | | | | | | Case 2:
% 169.55/25.96 | | | | | | | | | | |
% 169.55/25.96 | | | | | | | | | | | (185) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 169.55/25.96 | | | | | | | | | | | all_49_0, all_41_0) = v0 & apply(all_32_6,
% 169.55/25.96 | | | | | | | | | | | all_49_0, all_41_1) = v1 & ( ~ (v1 = 0) | ~
% 169.55/25.96 | | | | | | | | | | | (v0 = 0)))
% 169.55/25.96 | | | | | | | | | | |
% 169.55/25.96 | | | | | | | | | | | DELTA: instantiating (185) with fresh symbols all_132_0,
% 169.55/25.96 | | | | | | | | | | | all_132_1 gives:
% 169.55/25.96 | | | | | | | | | | | (186) apply(all_32_6, all_49_0, all_41_0) = all_132_1 &
% 169.55/25.96 | | | | | | | | | | | apply(all_32_6, all_49_0, all_41_1) = all_132_0 &
% 169.55/25.96 | | | | | | | | | | | ( ~ (all_132_0 = 0) | ~ (all_132_1 = 0))
% 169.55/25.96 | | | | | | | | | | |
% 169.55/25.96 | | | | | | | | | | | ALPHA: (186) implies:
% 169.55/25.96 | | | | | | | | | | | (187) apply(all_32_6, all_49_0, all_41_0) = all_132_1
% 169.55/25.96 | | | | | | | | | | |
% 169.55/25.96 | | | | | | | | | | | BETA: splitting (124) gives:
% 169.55/25.96 | | | | | | | | | | |
% 169.55/25.96 | | | | | | | | | | | Case 1:
% 169.55/25.96 | | | | | | | | | | | |
% 169.55/25.96 | | | | | | | | | | | | (188) all_41_0 = all_41_1
% 169.55/25.96 | | | | | | | | | | | |
% 169.55/25.96 | | | | | | | | | | | | REDUCE: (34), (188) imply:
% 169.55/25.96 | | | | | | | | | | | | (189) $false
% 169.55/25.96 | | | | | | | | | | | |
% 169.55/25.96 | | | | | | | | | | | | CLOSE: (189) is inconsistent.
% 169.55/25.96 | | | | | | | | | | | |
% 169.55/25.96 | | | | | | | | | | | Case 2:
% 169.55/25.96 | | | | | | | | | | | |
% 169.55/25.96 | | | | | | | | | | | | (190) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 169.55/25.96 | | | | | | | | | | | | all_49_0, all_41_0) = v1 & apply(all_32_6,
% 169.55/25.96 | | | | | | | | | | | | all_49_0, all_41_1) = v0 & ( ~ (v1 = 0) | ~
% 169.55/25.96 | | | | | | | | | | | | (v0 = 0)))
% 169.55/25.96 | | | | | | | | | | | |
% 169.55/25.96 | | | | | | | | | | | | DELTA: instantiating (190) with fresh symbols all_137_0,
% 169.55/25.96 | | | | | | | | | | | | all_137_1 gives:
% 169.55/25.96 | | | | | | | | | | | | (191) apply(all_32_6, all_49_0, all_41_0) = all_137_0 &
% 169.55/25.96 | | | | | | | | | | | | apply(all_32_6, all_49_0, all_41_1) = all_137_1 &
% 169.55/25.96 | | | | | | | | | | | | ( ~ (all_137_0 = 0) | ~ (all_137_1 = 0))
% 169.55/25.96 | | | | | | | | | | | |
% 169.55/25.96 | | | | | | | | | | | | ALPHA: (191) implies:
% 169.55/25.96 | | | | | | | | | | | | (192) apply(all_32_6, all_49_0, all_41_0) = all_137_0
% 169.55/25.96 | | | | | | | | | | | |
% 169.55/25.96 | | | | | | | | | | | | BETA: splitting (172) gives:
% 169.55/25.96 | | | | | | | | | | | |
% 169.55/25.96 | | | | | | | | | | | | Case 1:
% 169.55/25.96 | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | (193) all_119_0 = 0 & all_119_1 = 0 & all_119_2 = 0 &
% 169.55/25.97 | | | | | | | | | | | | | apply(all_32_6, all_41_2, all_119_3) = 0 &
% 169.55/25.97 | | | | | | | | | | | | | apply(all_32_8, all_119_3, all_41_2) = 0 &
% 169.55/25.97 | | | | | | | | | | | | | member(all_119_3, all_32_5) = 0
% 169.55/25.97 | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | ALPHA: (193) implies:
% 169.55/25.97 | | | | | | | | | | | | | (194) member(all_119_3, all_32_5) = 0
% 169.55/25.97 | | | | | | | | | | | | | (195) apply(all_32_8, all_119_3, all_41_2) = 0
% 169.55/25.97 | | | | | | | | | | | | | (196) apply(all_32_6, all_41_2, all_119_3) = 0
% 169.55/25.97 | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | BETA: splitting (151) gives:
% 169.55/25.97 | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | Case 1:
% 169.55/25.97 | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | (197) all_55_0 = all_41_0
% 169.55/25.97 | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | REDUCE: (162), (197) imply:
% 169.55/25.97 | | | | | | | | | | | | | | (198) apply(all_32_8, all_41_0, all_111_0) = 0
% 169.55/25.97 | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | BETA: splitting (175) gives:
% 169.55/25.97 | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | Case 1:
% 169.55/25.97 | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | (199) all_121_0 = 0 & all_121_1 = 0 & all_121_2 = 0 &
% 169.55/25.97 | | | | | | | | | | | | | | | apply(all_32_7, all_121_3, all_41_1) = 0 &
% 169.55/25.97 | | | | | | | | | | | | | | | apply(all_32_8, all_41_1, all_121_3) = 0 &
% 169.55/25.97 | | | | | | | | | | | | | | | member(all_121_3, all_32_4) = 0
% 169.55/25.97 | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | ALPHA: (199) implies:
% 169.55/25.97 | | | | | | | | | | | | | | | (200) member(all_121_3, all_32_4) = 0
% 169.55/25.97 | | | | | | | | | | | | | | | (201) apply(all_32_8, all_41_1, all_121_3) = 0
% 169.55/25.97 | | | | | | | | | | | | | | | (202) apply(all_32_7, all_121_3, all_41_1) = 0
% 169.55/25.97 | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | BETA: splitting (128) gives:
% 169.55/25.97 | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | Case 1:
% 169.55/25.97 | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | (203) all_41_0 = all_41_1
% 169.55/25.97 | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | REDUCE: (34), (203) imply:
% 169.55/25.97 | | | | | | | | | | | | | | | | (204) $false
% 169.55/25.97 | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | CLOSE: (204) is inconsistent.
% 169.55/25.97 | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | Case 2:
% 169.55/25.97 | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | (205) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 169.55/25.97 | | | | | | | | | | | | | | | | all_51_0, all_41_0) = v0 & apply(all_32_6,
% 169.55/25.97 | | | | | | | | | | | | | | | | all_51_0, all_41_1) = v1 & ( ~ (v1 = 0) | ~
% 169.55/25.97 | | | | | | | | | | | | | | | | (v0 = 0)))
% 169.55/25.97 | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | DELTA: instantiating (205) with fresh symbols all_154_0,
% 169.55/25.97 | | | | | | | | | | | | | | | | all_154_1 gives:
% 169.55/25.97 | | | | | | | | | | | | | | | | (206) apply(all_32_6, all_51_0, all_41_0) = all_154_1 &
% 169.55/25.97 | | | | | | | | | | | | | | | | apply(all_32_6, all_51_0, all_41_1) = all_154_0 &
% 169.55/25.97 | | | | | | | | | | | | | | | | ( ~ (all_154_0 = 0) | ~ (all_154_1 = 0))
% 169.55/25.97 | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | ALPHA: (206) implies:
% 169.55/25.97 | | | | | | | | | | | | | | | | (207) apply(all_32_6, all_51_0, all_41_0) = all_154_1
% 169.55/25.97 | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 169.55/25.97 | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | Case 1:
% 169.55/25.97 | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | (208) all_49_0 = all_41_2
% 169.55/25.97 | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | REDUCE: (169), (208) imply:
% 169.55/25.97 | | | | | | | | | | | | | | | | | (209) apply(all_32_6, all_41_2, all_117_0) = 0
% 169.55/25.97 | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | REDUCE: (192), (208) imply:
% 169.55/25.97 | | | | | | | | | | | | | | | | | (210) apply(all_32_6, all_41_2, all_41_0) = all_137_0
% 169.55/25.97 | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | REDUCE: (187), (208) imply:
% 169.55/25.97 | | | | | | | | | | | | | | | | | (211) apply(all_32_6, all_41_2, all_41_0) = all_132_1
% 169.55/25.97 | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | BETA: splitting (141) gives:
% 169.55/25.97 | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | Case 1:
% 169.55/25.97 | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | (212) all_55_0 = all_41_1
% 169.55/25.97 | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (197), (212) imply:
% 169.55/25.97 | | | | | | | | | | | | | | | | | | (213) all_41_0 = all_41_1
% 169.55/25.97 | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | SIMP: (213) implies:
% 169.55/25.97 | | | | | | | | | | | | | | | | | | (214) all_41_0 = all_41_1
% 169.55/25.97 | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | REDUCE: (34), (214) imply:
% 169.55/25.97 | | | | | | | | | | | | | | | | | | (215) $false
% 169.55/25.97 | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | CLOSE: (215) is inconsistent.
% 169.55/25.97 | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | Case 2:
% 169.55/25.97 | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | (216) ~ (all_55_0 = all_41_1)
% 169.55/25.97 | | | | | | | | | | | | | | | | | | (217) ? [v0: any] : ? [v1: any] : (apply(all_32_7,
% 169.55/25.97 | | | | | | | | | | | | | | | | | | all_49_0, all_55_0) = v0 & apply(all_32_7,
% 169.55/25.97 | | | | | | | | | | | | | | | | | | all_49_0, all_41_1) = v1 & ( ~ (v1 = 0) | ~
% 169.55/25.97 | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 169.55/25.97 | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | DELTA: instantiating (217) with fresh symbols all_163_0,
% 169.55/25.97 | | | | | | | | | | | | | | | | | | all_163_1 gives:
% 169.55/25.97 | | | | | | | | | | | | | | | | | | (218) apply(all_32_7, all_49_0, all_55_0) = all_163_1 &
% 169.55/25.97 | | | | | | | | | | | | | | | | | | apply(all_32_7, all_49_0, all_41_1) = all_163_0 &
% 169.55/25.97 | | | | | | | | | | | | | | | | | | ( ~ (all_163_0 = 0) | ~ (all_163_1 = 0))
% 169.55/25.97 | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | ALPHA: (218) implies:
% 169.55/25.97 | | | | | | | | | | | | | | | | | | (219) apply(all_32_7, all_49_0, all_41_1) = all_163_0
% 169.55/25.97 | | | | | | | | | | | | | | | | | | (220) apply(all_32_7, all_49_0, all_55_0) = all_163_1
% 169.55/25.97 | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | REDUCE: (197), (208), (220) imply:
% 169.55/25.97 | | | | | | | | | | | | | | | | | | (221) apply(all_32_7, all_41_2, all_41_0) = all_163_1
% 169.55/25.97 | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | REDUCE: (208), (219) imply:
% 169.55/25.97 | | | | | | | | | | | | | | | | | | (222) apply(all_32_7, all_41_2, all_41_1) = all_163_0
% 169.55/25.97 | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | BETA: splitting (140) gives:
% 169.55/25.97 | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | Case 1:
% 169.55/25.97 | | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | (223) all_55_0 = all_41_1
% 169.55/25.97 | | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (197), (223) imply:
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | (224) all_41_0 = all_41_1
% 169.55/25.97 | | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | SIMP: (224) implies:
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | (225) all_41_0 = all_41_1
% 169.55/25.97 | | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | REDUCE: (34), (225) imply:
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | (226) $false
% 169.55/25.97 | | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | CLOSE: (226) is inconsistent.
% 169.55/25.97 | | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | Case 2:
% 169.55/25.97 | | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | (227) ? [v0: any] : ? [v1: any] : (apply(all_32_7,
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | all_49_0, all_55_0) = v1 & apply(all_32_7,
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | all_49_0, all_41_1) = v0 & ( ~ (v1 = 0) | ~
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 169.55/25.97 | | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (227) with fresh symbols all_168_0,
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | all_168_1 gives:
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | (228) apply(all_32_7, all_49_0, all_55_0) = all_168_0 &
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | apply(all_32_7, all_49_0, all_41_1) = all_168_1 &
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | ( ~ (all_168_0 = 0) | ~ (all_168_1 = 0))
% 169.55/25.97 | | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | ALPHA: (228) implies:
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | (229) apply(all_32_7, all_49_0, all_41_1) = all_168_1
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | (230) apply(all_32_7, all_49_0, all_55_0) = all_168_0
% 169.55/25.97 | | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | REDUCE: (197), (208), (230) imply:
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | (231) apply(all_32_7, all_41_2, all_41_0) = all_168_0
% 169.55/25.97 | | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | REDUCE: (208), (229) imply:
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | (232) apply(all_32_7, all_41_2, all_41_1) = all_168_1
% 169.55/25.97 | | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | BETA: splitting (139) gives:
% 169.55/25.97 | | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | Case 1:
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | | (233) all_55_0 = all_41_1
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (197), (233) imply:
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | | (234) all_41_0 = all_41_1
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | | SIMP: (234) implies:
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | | (235) all_41_0 = all_41_1
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | | REDUCE: (34), (235) imply:
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | | (236) $false
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | | CLOSE: (236) is inconsistent.
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | Case 2:
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | | (237) ? [v0: any] : ? [v1: any] : (apply(all_32_7,
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | | all_51_0, all_55_0) = v0 & apply(all_32_7,
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | | all_51_0, all_41_1) = v1 & ( ~ (v1 = 0) | ~
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (237) with fresh symbols all_173_0,
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | | all_173_1 gives:
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | | (238) apply(all_32_7, all_51_0, all_55_0) = all_173_1 &
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | | apply(all_32_7, all_51_0, all_41_1) = all_173_0 &
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | | ( ~ (all_173_0 = 0) | ~ (all_173_1 = 0))
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | |
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | | ALPHA: (238) implies:
% 169.55/25.97 | | | | | | | | | | | | | | | | | | | | (239) apply(all_32_7, all_51_0, all_41_1) = all_173_0
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | (240) apply(all_32_7, all_51_0, all_55_0) = all_173_1
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | |
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | REDUCE: (197), (240) imply:
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | (241) apply(all_32_7, all_51_0, all_41_0) = all_173_1
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | |
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | BETA: splitting (138) gives:
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | |
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (242) all_55_0 = all_41_1
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (197), (242) imply:
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (243) all_41_0 = all_41_1
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | SIMP: (243) implies:
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (244) all_41_0 = all_41_1
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | REDUCE: (34), (244) imply:
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (245) $false
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | CLOSE: (245) is inconsistent.
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (246) ? [v0: any] : ? [v1: any] : (apply(all_32_7,
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | all_51_0, all_55_0) = v1 & apply(all_32_7,
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | all_51_0, all_41_1) = v0 & ( ~ (v1 = 0) | ~
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (246) with fresh symbols all_178_0,
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | all_178_1 gives:
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (247) apply(all_32_7, all_51_0, all_55_0) = all_178_0 &
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | apply(all_32_7, all_51_0, all_41_1) = all_178_1 &
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | ( ~ (all_178_0 = 0) | ~ (all_178_1 = 0))
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | ALPHA: (247) implies:
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (248) apply(all_32_7, all_51_0, all_41_1) = all_178_1
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (249) apply(all_32_7, all_51_0, all_55_0) = all_178_0
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | REDUCE: (197), (249) imply:
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (250) apply(all_32_7, all_51_0, all_41_0) = all_178_0
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_78_0, all_168_1,
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | all_41_1, all_41_2, all_32_7, simplifying with
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (96), (232) gives:
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (251) all_168_1 = all_78_0
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_163_0, all_168_1,
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | all_41_1, all_41_2, all_32_7, simplifying with
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (222), (232) gives:
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (252) all_168_1 = all_163_0
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_78_1, all_168_0,
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | all_41_0, all_41_2, all_32_7, simplifying with
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (97), (231) gives:
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (253) all_168_0 = all_78_1
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_163_1, all_168_0,
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | all_41_0, all_41_2, all_32_7, simplifying with
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (221), (231) gives:
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (254) all_168_0 = all_163_1
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_173_0, all_178_1,
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | all_41_1, all_51_0, all_32_7, simplifying with
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (239), (248) gives:
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (255) all_178_1 = all_173_0
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_173_1, all_178_0,
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | all_41_0, all_51_0, all_32_7, simplifying with
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (241), (250) gives:
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (256) all_178_0 = all_173_1
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_137_0, all_41_0,
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | all_41_2, all_32_6, simplifying with (41), (210)
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | gives:
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (257) all_137_0 = 0
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_132_1, all_137_0,
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (210), (211) gives:
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (258) all_137_0 = all_132_1
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (253), (254) imply:
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (259) all_163_1 = all_78_1
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (252) imply:
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (260) all_163_0 = all_78_0
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (258) imply:
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (261) all_132_1 = 0
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_4,
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | all_32_5, all_41_2, all_109_0, all_41_1,
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | simplifying with (14), (15), (16), (22), (35),
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (36), (38), (39), (156), (157) gives:
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (262) all_109_0 = all_41_1 | ? [v0: any] : ? [v1: any]
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | : (apply(all_32_6, all_41_2, all_109_0) = v0 &
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | apply(all_32_6, all_41_2, all_41_1) = v1 & ( ~
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_7, all_32_4,
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | all_32_5, all_111_0, all_41_0, all_41_1,
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | simplifying with (13), (15), (16), (21), (36),
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (37), (39), (40), (160), (161) gives:
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (263) all_41_0 = all_41_1 | ? [v0: any] : ? [v1: any]
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | : (apply(all_32_7, all_111_0, all_41_0) = v0 &
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | apply(all_32_7, all_111_0, all_41_1) = v1 & ( ~
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_32_8, all_32_5,
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | all_32_4, all_41_0, all_111_0, all_51_0,
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (20), (37),
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (61), (63), (160), (161) gives:
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (264) all_111_0 = all_51_0 | ? [v0: any] : ? [v1: any]
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | : ? [v2: any] : (apply(all_32_8, all_41_0,
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | all_111_0) = v2 & member(all_51_0, all_32_4) =
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | v1 & member(all_41_0, all_32_5) = v0 & ( ~ (v2 =
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_8, all_32_5,
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | all_32_4, all_41_0, all_111_0, all_51_0,
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (20), (37),
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (40), (61), (62), (160), (161) gives:
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (265) all_111_0 = all_51_0 | ? [v0: any] : ? [v1: any]
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | : (apply(all_32_8, all_41_0, all_111_0) = v0 &
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | apply(all_32_8, all_41_0, all_51_0) = v1 & ( ~
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_4,
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | all_32_5, all_113_0, all_41_1, all_41_0,
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | simplifying with (14), (15), (16), (22), (36),
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (37), (39), (40), (164), (165) gives:
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (266) all_41_0 = all_41_1 | ? [v0: any] : ? [v1: any]
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | : (apply(all_32_6, all_113_0, all_41_0) = v1 &
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | apply(all_32_6, all_113_0, all_41_1) = v0 & ( ~
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_4,
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | all_32_5, all_41_2, all_117_0, all_41_0,
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | simplifying with (14), (15), (16), (22), (35),
% 169.55/25.98 | | | | | | | | | | | | | | | | | | | | | (37), (38), (40), (167), (168) gives:
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | (267) all_117_0 = all_41_0 | ? [v0: any] : ? [v1: any]
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | : (apply(all_32_6, all_41_2, all_117_0) = v0 &
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | apply(all_32_6, all_41_2, all_41_0) = v1 & ( ~
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_8, all_32_5,
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | all_32_4, all_117_0, all_41_2, all_111_0,
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (20), (35),
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | (38), (160), (161), (167), (168) gives:
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | (268) all_111_0 = all_41_2 | ? [v0: any] : ? [v1: any]
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | : (apply(all_32_8, all_117_0, all_111_0) = v1 &
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | apply(all_32_8, all_117_0, all_41_2) = v0 & ( ~
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_4,
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | all_32_5, all_41_2, all_119_3, all_117_0,
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | simplifying with (14), (15), (16), (22), (35),
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | (38), (167), (168), (171), (194) gives:
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | (269) all_119_3 = all_117_0 | ? [v0: any] : ? [v1:
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | any] : (apply(all_32_6, all_41_2, all_119_3) =
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | v0 & apply(all_32_6, all_41_2, all_117_0) = v1 &
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_4,
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | all_32_5, all_51_0, all_109_0, all_119_3,
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | simplifying with (14), (15), (16), (22), (61),
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | (62), (156), (157), (171), (194) gives:
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | (270) all_119_3 = all_109_0 | ? [v0: any] : ? [v1:
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | any] : (apply(all_32_6, all_51_0, all_119_3) =
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | v1 & apply(all_32_6, all_51_0, all_109_0) = v0 &
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_4,
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | all_32_5, all_51_0, all_119_3, all_109_0,
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | simplifying with (14), (15), (16), (22), (61),
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | (62), (156), (157), (171), (194) gives:
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | (271) all_119_3 = all_109_0 | ? [v0: any] : ? [v1:
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | any] : (apply(all_32_6, all_51_0, all_119_3) =
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | v0 & apply(all_32_6, all_51_0, all_109_0) = v1 &
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_4,
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | all_32_5, all_41_2, all_109_0, all_119_3,
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | simplifying with (14), (15), (16), (22), (35),
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | (38), (156), (157), (171), (194) gives:
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | (272) all_119_3 = all_109_0 | ? [v0: any] : ? [v1:
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | any] : (apply(all_32_6, all_41_2, all_119_3) =
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | v1 & apply(all_32_6, all_41_2, all_109_0) = v0 &
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_4,
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | all_32_5, all_41_2, all_119_3, all_109_0,
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | simplifying with (14), (15), (16), (22), (35),
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | (38), (156), (157), (171), (194) gives:
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | (273) all_119_3 = all_109_0 | ? [v0: any] : ? [v1:
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | any] : (apply(all_32_6, all_41_2, all_119_3) =
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | v0 & apply(all_32_6, all_41_2, all_109_0) = v1 &
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_4,
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | all_32_5, all_111_0, all_109_0, all_119_3,
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | simplifying with (14), (15), (16), (22), (156),
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | (157), (160), (161), (171), (194) gives:
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | (274) all_119_3 = all_109_0 | ? [v0: any] : ? [v1:
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | any] : (apply(all_32_6, all_111_0, all_119_3) =
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | v1 & apply(all_32_6, all_111_0, all_109_0) = v0
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_4,
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | all_32_5, all_111_0, all_119_3, all_109_0,
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | simplifying with (14), (15), (16), (22), (156),
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | (157), (160), (161), (171), (194) gives:
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | (275) all_119_3 = all_109_0 | ? [v0: any] : ? [v1:
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | any] : (apply(all_32_6, all_111_0, all_119_3) =
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | v0 & apply(all_32_6, all_111_0, all_109_0) = v1
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_7, all_32_4,
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | all_32_5, all_41_2, all_117_0, all_119_3,
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | simplifying with (13), (15), (16), (21), (35),
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | (38), (167), (168), (171), (194) gives:
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | (276) all_119_3 = all_117_0 | ? [v0: any] : ? [v1:
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | any] : (apply(all_32_7, all_41_2, all_119_3) =
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | v1 & apply(all_32_7, all_41_2, all_117_0) = v0 &
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_8, all_32_5,
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | all_32_4, all_119_3, all_121_3, all_41_2,
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (20), (35),
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | (38), (171), (174), (194), (200) gives:
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | (277) all_121_3 = all_41_2 | ? [v0: any] : ? [v1: any]
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | : (apply(all_32_8, all_119_3, all_121_3) = v0 &
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | apply(all_32_8, all_119_3, all_41_2) = v1 & ( ~
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_8, all_32_5,
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | all_32_4, all_117_0, all_41_2, all_121_3,
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (20), (35),
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | (38), (167), (168), (174), (200) gives:
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | (278) all_121_3 = all_41_2 | ? [v0: any] : ? [v1: any]
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | : (apply(all_32_8, all_117_0, all_121_3) = v1 &
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | apply(all_32_8, all_117_0, all_41_2) = v0 & ( ~
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_8, all_32_5,
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | all_32_4, all_117_0, all_121_3, all_41_2,
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (20), (35),
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | (38), (167), (168), (174), (200) gives:
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | (279) all_121_3 = all_41_2 | ? [v0: any] : ? [v1: any]
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | : (apply(all_32_8, all_117_0, all_121_3) = v0 &
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | apply(all_32_8, all_117_0, all_41_2) = v1 & ( ~
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | |
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_8, all_32_5,
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | all_32_4, all_41_1, all_121_3, all_111_0,
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (20), (36),
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | (39), (160), (161), (174), (200) gives:
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | (280) all_121_3 = all_111_0 | ? [v0: any] : ? [v1:
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | any] : (apply(all_32_8, all_41_1, all_121_3) =
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | v0 & apply(all_32_8, all_41_1, all_111_0) = v1 &
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | | ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.55/25.99 | | | | | | | | | | | | | | | | | | | | |
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_4,
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | all_32_5, all_123_3, all_41_0, all_41_1,
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | simplifying with (14), (15), (16), (22), (36),
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | (37), (39), (40), (177), (180) gives:
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | (281) all_41_0 = all_41_1 | ? [v0: any] : ? [v1: any]
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | : (apply(all_32_6, all_123_3, all_41_0) = v0 &
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | apply(all_32_6, all_123_3, all_41_1) = v1 & ( ~
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | |
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_4,
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | all_32_5, all_123_3, all_41_1, all_119_3,
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | simplifying with (14), (15), (16), (22), (36),
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | (39), (171), (177), (180), (194) gives:
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | (282) all_119_3 = all_41_1 | ? [v0: any] : ? [v1: any]
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | : (apply(all_32_6, all_123_3, all_119_3) = v1 &
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | apply(all_32_6, all_123_3, all_41_1) = v0 & ( ~
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | |
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_8, all_32_5,
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | all_32_4, all_41_0, all_123_3, all_51_0,
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (20), (37),
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | (40), (61), (62), (177), (180) gives:
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | (283) all_123_3 = all_51_0 | ? [v0: any] : ? [v1: any]
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | : (apply(all_32_8, all_41_0, all_123_3) = v0 &
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | apply(all_32_8, all_41_0, all_51_0) = v1 & ( ~
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | |
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_8, all_32_5,
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | all_32_4, all_119_3, all_51_0, all_123_3,
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (20), (61),
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | (62), (171), (177), (180), (194) gives:
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | (284) all_123_3 = all_51_0 | ? [v0: any] : ? [v1: any]
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | : (apply(all_32_8, all_119_3, all_123_3) = v1 &
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | apply(all_32_8, all_119_3, all_51_0) = v0 & ( ~
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | |
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_8, all_32_5,
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | all_32_4, all_119_3, all_123_3, all_51_0,
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (20), (61),
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | (62), (171), (177), (180), (194) gives:
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | (285) all_123_3 = all_51_0 | ? [v0: any] : ? [v1: any]
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | : (apply(all_32_8, all_119_3, all_123_3) = v0 &
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | apply(all_32_8, all_119_3, all_51_0) = v1 & ( ~
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | |
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_8, all_32_5,
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | all_32_4, all_117_0, all_51_0, all_123_3,
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (20), (61),
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | (62), (167), (168), (177), (180) gives:
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | (286) all_123_3 = all_51_0 | ? [v0: any] : ? [v1: any]
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | : (apply(all_32_8, all_117_0, all_123_3) = v1 &
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | apply(all_32_8, all_117_0, all_51_0) = v0 & ( ~
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | |
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_8, all_32_5,
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | all_32_4, all_117_0, all_123_3, all_51_0,
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (20), (61),
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | (62), (167), (168), (177), (180) gives:
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | (287) all_123_3 = all_51_0 | ? [v0: any] : ? [v1: any]
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | : (apply(all_32_8, all_117_0, all_123_3) = v0 &
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | apply(all_32_8, all_117_0, all_51_0) = v1 & ( ~
% 169.55/26.00 | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_8, all_32_5,
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | all_32_4, all_109_0, all_51_0, all_123_3,
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (20), (61),
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | (62), (156), (157), (177), (180) gives:
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | (288) all_123_3 = all_51_0 | ? [v0: any] : ? [v1: any]
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | : (apply(all_32_8, all_109_0, all_123_3) = v1 &
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | apply(all_32_8, all_109_0, all_51_0) = v0 & ( ~
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_8, all_32_5,
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | all_32_4, all_109_0, all_123_3, all_51_0,
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (20), (61),
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | (62), (156), (157), (177), (180) gives:
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | (289) all_123_3 = all_51_0 | ? [v0: any] : ? [v1: any]
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | : (apply(all_32_8, all_109_0, all_123_3) = v0 &
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | apply(all_32_8, all_109_0, all_51_0) = v1 & ( ~
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_8, all_32_5,
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | all_32_4, all_109_0, all_41_2, all_123_3,
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (20), (35),
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | (38), (156), (157), (177), (180) gives:
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | (290) all_123_3 = all_41_2 | ? [v0: any] : ? [v1: any]
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | : (apply(all_32_8, all_109_0, all_123_3) = v1 &
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | apply(all_32_8, all_109_0, all_41_2) = v0 & ( ~
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_8, all_32_5,
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | all_32_4, all_109_0, all_123_3, all_41_2,
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (20), (35),
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | (38), (156), (157), (177), (180) gives:
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | (291) all_123_3 = all_41_2 | ? [v0: any] : ? [v1: any]
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | : (apply(all_32_8, all_109_0, all_123_3) = v0 &
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | apply(all_32_8, all_109_0, all_41_2) = v1 & ( ~
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_8, all_32_5,
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | all_32_4, all_41_0, all_121_3, all_123_3,
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (20), (37),
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | (40), (174), (177), (180), (200) gives:
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | (292) all_123_3 = all_121_3 | ? [v0: any] : ? [v1:
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | any] : (apply(all_32_8, all_41_0, all_123_3) =
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | v1 & apply(all_32_8, all_41_0, all_121_3) = v0 &
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_8, all_32_5,
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | all_32_4, all_41_0, all_123_3, all_121_3,
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (20), (37),
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | (40), (174), (177), (180), (200) gives:
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | (293) all_123_3 = all_121_3 | ? [v0: any] : ? [v1:
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | any] : (apply(all_32_8, all_41_0, all_123_3) =
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | v0 & apply(all_32_8, all_41_0, all_121_3) = v1 &
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | | ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.75/26.00 | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_8, all_32_5,
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | all_32_4, all_119_3, all_121_3, all_123_3,
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (20), (171),
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | (174), (177), (180), (194), (200) gives:
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | (294) all_123_3 = all_121_3 | ? [v0: any] : ? [v1:
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | any] : (apply(all_32_8, all_119_3, all_123_3) =
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | v1 & apply(all_32_8, all_119_3, all_121_3) = v0
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_8, all_32_5,
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | all_32_4, all_119_3, all_123_3, all_121_3,
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (20), (171),
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | (174), (177), (180), (194), (200) gives:
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | (295) all_123_3 = all_121_3 | ? [v0: any] : ? [v1:
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | any] : (apply(all_32_8, all_119_3, all_123_3) =
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | v0 & apply(all_32_8, all_119_3, all_121_3) = v1
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_8, all_32_5,
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | all_32_4, all_117_0, all_123_3, all_121_3,
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (20), (167),
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | (168), (174), (177), (180), (200) gives:
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | (296) all_123_3 = all_121_3 | ? [v0: any] : ? [v1:
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | any] : (apply(all_32_8, all_117_0, all_123_3) =
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | v0 & apply(all_32_8, all_117_0, all_121_3) = v1
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_8, all_32_5,
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | all_32_4, all_109_0, all_121_3, all_123_3,
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (20), (156),
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | (157), (174), (177), (180), (200) gives:
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | (297) all_123_3 = all_121_3 | ? [v0: any] : ? [v1:
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | any] : (apply(all_32_8, all_109_0, all_123_3) =
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | v1 & apply(all_32_8, all_109_0, all_121_3) = v0
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_8, all_32_5,
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | all_32_4, all_109_0, all_123_3, all_121_3,
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (20), (156),
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | (157), (174), (177), (180), (200) gives:
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | (298) all_123_3 = all_121_3 | ? [v0: any] : ? [v1:
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | any] : (apply(all_32_8, all_109_0, all_123_3) =
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | v0 & apply(all_32_8, all_109_0, all_121_3) = v1
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_8, all_32_5,
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | all_32_4, all_109_0, all_111_0, all_123_3,
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (20), (156),
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | (157), (160), (161), (177), (180) gives:
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | (299) all_123_3 = all_111_0 | ? [v0: any] : ? [v1:
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | any] : (apply(all_32_8, all_109_0, all_123_3) =
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | v1 & apply(all_32_8, all_109_0, all_111_0) = v0
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_8, all_32_5,
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | all_32_4, all_109_0, all_123_3, all_111_0,
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (20), (156),
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | (157), (160), (161), (177), (180) gives:
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | (300) all_123_3 = all_111_0 | ? [v0: any] : ? [v1:
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | any] : (apply(all_32_8, all_109_0, all_123_3) =
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | v0 & apply(all_32_8, all_109_0, all_111_0) = v1
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_32_8, all_32_5,
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | all_32_4, all_41_0, all_41_2, all_111_0,
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (20), (35),
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | (37), (38), (160), (198) gives:
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | (301) all_111_0 = all_41_2 | ? [v0: any] : ? [v1: any]
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | : ? [v2: any] : (apply(all_32_8, all_41_0,
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | all_41_2) = v2 & member(all_111_0, all_32_4) =
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | v1 & member(all_41_0, all_32_5) = v0 & ( ~ (v2 =
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_32_8, all_32_5,
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | all_32_4, all_119_3, all_123_3, all_41_2,
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (20), (35),
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | (171), (177), (180), (195) gives:
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | (302) all_123_3 = all_41_2 | ? [v0: any] : ? [v1: any]
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | : ? [v2: any] : (apply(all_32_8, all_119_3,
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | all_123_3) = v2 & member(all_119_3, all_32_5)
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | = v0 & member(all_41_2, all_32_4) = v1 & ( ~ (v2
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_32_6, all_32_4,
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | all_32_5, all_41_2, all_41_0, all_119_3,
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | simplifying with (14), (15), (16), (22), (35),
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | (37), (41), (171), (196) gives:
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | (303) all_119_3 = all_41_0 | ? [v0: any] : ? [v1: any]
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | : ? [v2: any] : (member(all_119_3, all_32_5) = v2
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | & member(all_41_0, all_32_5) = v1 &
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | member(all_41_2, all_32_4) = v0 & ( ~ (v2 = 0) |
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_32_6, all_32_4,
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | all_32_5, all_41_2, all_117_0, all_119_3,
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | simplifying with (14), (15), (16), (22), (35),
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | (167), (171), (196), (209) gives:
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | (304) all_119_3 = all_117_0 | ? [v0: any] : ? [v1:
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | any] : ? [v2: any] : (member(all_119_3,
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | all_32_5) = v2 & member(all_117_0, all_32_5) =
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | v1 & member(all_41_2, all_32_4) = v0 & ( ~ (v2 =
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | | (305) all_119_3 = all_117_0
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (195), (305) imply:
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | | (306) apply(all_32_8, all_117_0, all_41_2) = 0
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (303) gives:
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | | | (307) all_119_3 = all_41_0
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (305), (307) imply:
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | | | (308) all_117_0 = all_41_0
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (308) implies:
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | | | (309) all_117_0 = all_41_0
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (306), (309) imply:
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | | | (310) apply(all_32_8, all_41_0, all_41_2) = 0
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | | | | (311) all_111_0 = all_51_0
% 169.75/26.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (34), (40), (41), (62), (63), (96),
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | (97), (98), (123), (130), (131), (132), (133),
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | (142), (143), (144), (145), (149), (150), (158),
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | (181), (182), (197), (201), (202), (207), (208),
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | (239), (241), (262), (263), (268), (270), (271),
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | (272), (273), (274), (275), (277), (278), (279),
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | (280), (281), (283), (284), (285), (286), (287),
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | (288), (289), (290), (291), (292), (293), (294),
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | (295), (296), (297), (298), (299), (300), (301),
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | (302), (307), (309), (310), (311) are inconsistent
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2.
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | (312) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | (apply(all_32_8, all_41_0, all_111_0) = v2 &
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | member(all_51_0, all_32_4) = v1 &
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | member(all_41_0, all_32_5) = v0 & ( ~ (v2 = 0) |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (312) with fresh symbols all_241_0,
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | all_241_1, all_241_2 gives:
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | (313) apply(all_32_8, all_41_0, all_111_0) = all_241_0 &
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | member(all_51_0, all_32_4) = all_241_1 &
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | member(all_41_0, all_32_5) = all_241_2 & ( ~
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | (all_241_0 = 0) | ~ (all_241_1 = 0) | ~
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | (all_241_2 = 0))
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (313) implies:
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | (314) apply(all_32_8, all_41_0, all_111_0) = all_241_0
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | (315) all_111_0 = all_51_0
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (34), (40), (41), (62), (63), (96),
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | (97), (98), (123), (130), (131), (132), (133),
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | (142), (143), (144), (145), (149), (150), (158),
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | (181), (182), (197), (201), (202), (207), (208),
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | (239), (241), (262), (263), (268), (270), (271),
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | (272), (273), (274), (275), (277), (278), (279),
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | (280), (281), (283), (284), (285), (286), (287),
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | (288), (289), (290), (291), (292), (293), (294),
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | (295), (296), (297), (298), (299), (300), (301),
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | (302), (307), (309), (310), (315) are inconsistent
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2.
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | (316) ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | all_41_0, all_111_0) = v0 & apply(all_32_8,
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | all_41_0, all_51_0) = v1 & ( ~ (v1 = 0) | ~
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (316) with fresh symbols all_354_0,
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | all_354_1 gives:
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | (317) apply(all_32_8, all_41_0, all_111_0) = all_354_1 &
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | apply(all_32_8, all_41_0, all_51_0) = all_354_0 &
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_354_0 = 0) | ~ (all_354_1 = 0))
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (317) implies:
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | (318) apply(all_32_8, all_41_0, all_51_0) = all_354_0
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | (319) apply(all_32_8, all_41_0, all_111_0) = all_354_1
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | (320) ~ (all_354_0 = 0) | ~ (all_354_1 = 0)
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (282) gives:
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (321) all_119_3 = all_41_1
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (307), (321) imply:
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (322) all_41_0 = all_41_1
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (322) implies:
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (323) all_41_0 = all_41_1
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (34), (323) imply:
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (324) $false
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (324) is inconsistent.
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_354_0, all_51_0,
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_0, all_32_8, simplifying with (63), (318)
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (325) all_354_0 = 0
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_354_1, all_111_0,
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_0, all_32_8, simplifying with (198), (319)
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (326) all_354_1 = 0
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_241_0, all_354_1,
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | all_111_0, all_41_0, all_32_8, simplifying with
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (314), (319) gives:
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (327) all_354_1 = all_241_0
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (326), (327) imply:
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (328) all_241_0 = 0
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (320) gives:
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (329) ~ (all_354_0 = 0)
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (325), (329) imply:
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (330) $false
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (330) is inconsistent.
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (331) ~ (all_354_1 = 0)
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (326), (331) imply:
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (332) $false
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (332) is inconsistent.
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | (333) ~ (all_119_3 = all_41_0)
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (305), (333) imply:
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | (334) ~ (all_117_0 = all_41_0)
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | (335) all_117_0 = all_41_0
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (305), (335) imply:
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | (336) all_119_3 = all_41_0
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (334), (335) imply:
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | (337) $false
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (337) is inconsistent.
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | (338) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | all_41_2, all_119_3) = v0 & apply(all_32_6,
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | all_41_2, all_117_0) = v1 & ( ~ (v1 = 0) | ~
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (338) with fresh symbols all_358_0,
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | all_358_1 gives:
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | (339) apply(all_32_6, all_41_2, all_119_3) = all_358_1 &
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | apply(all_32_6, all_41_2, all_117_0) = all_358_0 &
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_358_0 = 0) | ~ (all_358_1 = 0))
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (339) implies:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | (340) apply(all_32_6, all_41_2, all_117_0) = all_358_0
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | (341) apply(all_32_6, all_41_2, all_119_3) = all_358_1
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | (342) ~ (all_358_0 = 0) | ~ (all_358_1 = 0)
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (336), (341) imply:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | (343) apply(all_32_6, all_41_2, all_41_0) = all_358_1
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_358_1, all_41_0,
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | all_41_2, all_32_6, simplifying with (41), (343)
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | (344) all_358_1 = 0
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_358_0, all_117_0,
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | all_41_2, all_32_6, simplifying with (209), (340)
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | (345) all_358_0 = 0
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (342) gives:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (346) ~ (all_358_0 = 0)
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (345), (346) imply:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (347) $false
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (347) is inconsistent.
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (348) ~ (all_358_1 = 0)
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (344), (348) imply:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (349) $false
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (349) is inconsistent.
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | (350) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | all_41_2, all_117_0) = v0 & apply(all_32_6,
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | all_41_2, all_41_0) = v1 & ( ~ (v1 = 0) | ~
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (350) with fresh symbols all_303_0,
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | all_303_1 gives:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | (351) apply(all_32_6, all_41_2, all_117_0) = all_303_1 &
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | apply(all_32_6, all_41_2, all_41_0) = all_303_0 &
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_303_0 = 0) | ~ (all_303_1 = 0))
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (351) implies:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | (352) apply(all_32_6, all_41_2, all_41_0) = all_303_0
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | (353) apply(all_32_6, all_41_2, all_117_0) = all_303_1
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | (354) ~ (all_303_0 = 0) | ~ (all_303_1 = 0)
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (266) gives:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | (355) all_41_0 = all_41_1
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (34), (355) imply:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | (356) $false
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (356) is inconsistent.
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_303_0, all_41_0,
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | all_41_2, all_32_6, simplifying with (41), (352)
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | (357) all_303_0 = 0
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_303_1, all_117_0,
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | all_41_2, all_32_6, simplifying with (209), (353)
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | (358) all_303_1 = 0
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (354) gives:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (359) ~ (all_303_0 = 0)
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (359) imply:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (360) $false
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (360) is inconsistent.
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (361) ~ (all_303_1 = 0)
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (358), (361) imply:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (362) $false
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (362) is inconsistent.
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | (363) ~ (all_119_3 = all_117_0)
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | (364) all_119_3 = all_117_0
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (364) imply:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | (365) $false
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (365) is inconsistent.
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | (366) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | all_41_2, all_119_3) = v0 & apply(all_32_6,
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | all_41_2, all_117_0) = v1 & ( ~ (v1 = 0) | ~
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (366) with fresh symbols all_360_0,
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | all_360_1 gives:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | (367) apply(all_32_6, all_41_2, all_119_3) = all_360_1 &
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | apply(all_32_6, all_41_2, all_117_0) = all_360_0 &
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_360_0 = 0) | ~ (all_360_1 = 0))
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (367) implies:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | (368) apply(all_32_6, all_41_2, all_117_0) = all_360_0
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | (369) apply(all_32_6, all_41_2, all_119_3) = all_360_1
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | (370) ~ (all_360_0 = 0) | ~ (all_360_1 = 0)
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (276) gives:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | (371) all_119_3 = all_117_0
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (371) imply:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | (372) $false
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (372) is inconsistent.
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_360_0, all_117_0,
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | all_41_2, all_32_6, simplifying with (209), (368)
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | (373) all_360_0 = 0
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_360_1, all_119_3,
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | all_41_2, all_32_6, simplifying with (196), (369)
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | (374) all_360_1 = 0
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (370) gives:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | (375) ~ (all_360_0 = 0)
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (375) imply:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | (376) $false
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (376) is inconsistent.
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | (377) ~ (all_360_1 = 0)
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (374), (377) imply:
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | (378) $false
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (378) is inconsistent.
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | | End of split
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | | End of split
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | | End of split
% 169.75/26.03 | | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | | End of split
% 169.75/26.03 | | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | End of split
% 169.75/26.03 | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | Case 2:
% 169.75/26.03 | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | (379) ~ (all_49_0 = all_41_2)
% 169.75/26.03 | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (59), (123), (127), (379) are inconsistent by
% 169.75/26.03 | | | | | | | | | | | | | | | | | sub-proof #1.
% 169.75/26.03 | | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | | End of split
% 169.75/26.03 | | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | End of split
% 169.75/26.03 | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | Case 2:
% 169.75/26.03 | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | (380) member(all_41_1, all_32_5) = all_121_4 &
% 169.75/26.03 | | | | | | | | | | | | | | | member(all_41_1, all_32_5) = all_121_5 & ( ~
% 169.75/26.03 | | | | | | | | | | | | | | | (all_121_4 = 0) | ~ (all_121_5 = 0))
% 169.75/26.03 | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | ALPHA: (380) implies:
% 169.75/26.03 | | | | | | | | | | | | | | | (381) member(all_41_1, all_32_5) = all_121_5
% 169.75/26.03 | | | | | | | | | | | | | | | (382) member(all_41_1, all_32_5) = all_121_4
% 169.75/26.03 | | | | | | | | | | | | | | | (383) ~ (all_121_4 = 0) | ~ (all_121_5 = 0)
% 169.75/26.03 | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_121_4, all_32_5,
% 169.75/26.03 | | | | | | | | | | | | | | | all_41_1, simplifying with (39), (382) gives:
% 169.75/26.03 | | | | | | | | | | | | | | | (384) all_121_4 = 0
% 169.75/26.03 | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_121_5, all_121_4,
% 169.75/26.03 | | | | | | | | | | | | | | | all_32_5, all_41_1, simplifying with (381), (382)
% 169.75/26.03 | | | | | | | | | | | | | | | gives:
% 169.75/26.03 | | | | | | | | | | | | | | | (385) all_121_4 = all_121_5
% 169.75/26.03 | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | COMBINE_EQS: (384), (385) imply:
% 169.75/26.03 | | | | | | | | | | | | | | | (386) all_121_5 = 0
% 169.75/26.03 | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | BETA: splitting (383) gives:
% 169.75/26.03 | | | | | | | | | | | | | | |
% 169.75/26.03 | | | | | | | | | | | | | | | Case 1:
% 169.75/26.03 | | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | | (387) ~ (all_121_4 = 0)
% 169.75/26.04 | | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | | REDUCE: (384), (387) imply:
% 169.75/26.04 | | | | | | | | | | | | | | | | (388) $false
% 169.75/26.04 | | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | | CLOSE: (388) is inconsistent.
% 169.75/26.04 | | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | Case 2:
% 169.75/26.04 | | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | | (389) ~ (all_121_5 = 0)
% 169.75/26.04 | | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | | REDUCE: (386), (389) imply:
% 169.75/26.04 | | | | | | | | | | | | | | | | (390) $false
% 169.75/26.04 | | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | | CLOSE: (390) is inconsistent.
% 169.75/26.04 | | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | End of split
% 169.75/26.04 | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | End of split
% 169.75/26.04 | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | Case 2:
% 169.75/26.04 | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | (391) ~ (all_55_0 = all_41_0)
% 169.75/26.04 | | | | | | | | | | | | | | (392) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 169.75/26.04 | | | | | | | | | | | | | | (apply(all_32_6, all_41_2, all_41_0) = v2 &
% 169.75/26.04 | | | | | | | | | | | | | | member(all_55_0, all_32_5) = v1 &
% 169.75/26.04 | | | | | | | | | | | | | | member(all_41_2, all_32_4) = v0 & ( ~ (v2 = 0) |
% 169.75/26.04 | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 169.75/26.04 | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | DELTA: instantiating (392) with fresh symbols all_147_0,
% 169.75/26.04 | | | | | | | | | | | | | | all_147_1, all_147_2 gives:
% 169.75/26.04 | | | | | | | | | | | | | | (393) apply(all_32_6, all_41_2, all_41_0) = all_147_0 &
% 169.75/26.04 | | | | | | | | | | | | | | member(all_55_0, all_32_5) = all_147_1 &
% 169.75/26.04 | | | | | | | | | | | | | | member(all_41_2, all_32_4) = all_147_2 & ( ~
% 169.75/26.04 | | | | | | | | | | | | | | (all_147_0 = 0) | ~ (all_147_1 = 0) | ~
% 169.75/26.04 | | | | | | | | | | | | | | (all_147_2 = 0))
% 169.75/26.04 | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | ALPHA: (393) implies:
% 169.75/26.04 | | | | | | | | | | | | | | (394) apply(all_32_6, all_41_2, all_41_0) = all_147_0
% 169.75/26.04 | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | BETA: splitting (135) gives:
% 169.75/26.04 | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | Case 1:
% 169.75/26.04 | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | (395) all_55_0 = all_41_0
% 169.75/26.04 | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | REDUCE: (391), (395) imply:
% 169.75/26.04 | | | | | | | | | | | | | | | (396) $false
% 169.75/26.04 | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | CLOSE: (396) is inconsistent.
% 169.75/26.04 | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | Case 2:
% 169.75/26.04 | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | (397) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 169.75/26.04 | | | | | | | | | | | | | | | all_41_2, all_55_0) = v0 & apply(all_32_6,
% 169.75/26.04 | | | | | | | | | | | | | | | all_41_2, all_41_0) = v1 & ( ~ (v1 = 0) | ~
% 169.75/26.04 | | | | | | | | | | | | | | | (v0 = 0)))
% 169.75/26.04 | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | DELTA: instantiating (397) with fresh symbols all_153_0,
% 169.75/26.04 | | | | | | | | | | | | | | | all_153_1 gives:
% 169.75/26.04 | | | | | | | | | | | | | | | (398) apply(all_32_6, all_41_2, all_55_0) = all_153_1 &
% 169.75/26.04 | | | | | | | | | | | | | | | apply(all_32_6, all_41_2, all_41_0) = all_153_0 &
% 169.75/26.04 | | | | | | | | | | | | | | | ( ~ (all_153_0 = 0) | ~ (all_153_1 = 0))
% 169.75/26.04 | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | ALPHA: (398) implies:
% 169.75/26.04 | | | | | | | | | | | | | | | (399) apply(all_32_6, all_41_2, all_41_0) = all_153_0
% 169.75/26.04 | | | | | | | | | | | | | | | (400) apply(all_32_6, all_41_2, all_55_0) = all_153_1
% 169.75/26.04 | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | BETA: splitting (148) gives:
% 169.75/26.04 | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | Case 1:
% 169.75/26.04 | | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | | (401) all_49_0 = all_41_2
% 169.75/26.04 | | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | | REDUCE: (192), (401) imply:
% 169.75/26.04 | | | | | | | | | | | | | | | | (402) apply(all_32_6, all_41_2, all_41_0) = all_137_0
% 169.75/26.04 | | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | | REDUCE: (187), (401) imply:
% 169.75/26.04 | | | | | | | | | | | | | | | | (403) apply(all_32_6, all_41_2, all_41_0) = all_132_1
% 169.75/26.04 | | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | | BETA: splitting (137) gives:
% 169.75/26.04 | | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | | Case 1:
% 169.75/26.04 | | | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | | | (404) all_55_0 = all_41_0
% 169.75/26.04 | | | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | | | REDUCE: (391), (404) imply:
% 169.75/26.04 | | | | | | | | | | | | | | | | | (405) $false
% 169.75/26.04 | | | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | | | CLOSE: (405) is inconsistent.
% 169.75/26.04 | | | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | | Case 2:
% 169.75/26.04 | | | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | | | (406) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 169.75/26.04 | | | | | | | | | | | | | | | | | all_49_0, all_55_0) = v0 & apply(all_32_6,
% 169.75/26.04 | | | | | | | | | | | | | | | | | all_49_0, all_41_0) = v1 & ( ~ (v1 = 0) | ~
% 169.75/26.04 | | | | | | | | | | | | | | | | | (v0 = 0)))
% 169.75/26.04 | | | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | | | DELTA: instantiating (406) with fresh symbols all_172_0,
% 169.75/26.04 | | | | | | | | | | | | | | | | | all_172_1 gives:
% 169.75/26.04 | | | | | | | | | | | | | | | | | (407) apply(all_32_6, all_49_0, all_55_0) = all_172_1 &
% 169.75/26.04 | | | | | | | | | | | | | | | | | apply(all_32_6, all_49_0, all_41_0) = all_172_0 &
% 169.75/26.04 | | | | | | | | | | | | | | | | | ( ~ (all_172_0 = 0) | ~ (all_172_1 = 0))
% 169.75/26.04 | | | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | | | ALPHA: (407) implies:
% 169.75/26.04 | | | | | | | | | | | | | | | | | (408) apply(all_32_6, all_49_0, all_41_0) = all_172_0
% 169.75/26.04 | | | | | | | | | | | | | | | | | (409) apply(all_32_6, all_49_0, all_55_0) = all_172_1
% 169.75/26.04 | | | | | | | | | | | | | | | | | (410) ~ (all_172_0 = 0) | ~ (all_172_1 = 0)
% 169.75/26.04 | | | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | | | REDUCE: (401), (409) imply:
% 169.75/26.04 | | | | | | | | | | | | | | | | | (411) apply(all_32_6, all_41_2, all_55_0) = all_172_1
% 169.75/26.04 | | | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | | | REDUCE: (401), (408) imply:
% 169.75/26.04 | | | | | | | | | | | | | | | | | (412) apply(all_32_6, all_41_2, all_41_0) = all_172_0
% 169.75/26.04 | | | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | | | BETA: splitting (136) gives:
% 169.75/26.04 | | | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | | | Case 1:
% 169.75/26.04 | | | | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | | | | (413) all_55_0 = all_41_0
% 169.75/26.04 | | | | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | | | | REDUCE: (391), (413) imply:
% 169.75/26.04 | | | | | | | | | | | | | | | | | | (414) $false
% 169.75/26.04 | | | | | | | | | | | | | | | | | |
% 169.75/26.04 | | | | | | | | | | | | | | | | | | CLOSE: (414) is inconsistent.
% 169.92/26.04 | | | | | | | | | | | | | | | | | |
% 169.92/26.04 | | | | | | | | | | | | | | | | | Case 2:
% 169.92/26.04 | | | | | | | | | | | | | | | | | |
% 169.92/26.04 | | | | | | | | | | | | | | | | | | (415) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 169.92/26.04 | | | | | | | | | | | | | | | | | | all_49_0, all_55_0) = v1 & apply(all_32_6,
% 169.92/26.04 | | | | | | | | | | | | | | | | | | all_49_0, all_41_0) = v0 & ( ~ (v1 = 0) | ~
% 169.92/26.04 | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 169.92/26.04 | | | | | | | | | | | | | | | | | |
% 169.92/26.04 | | | | | | | | | | | | | | | | | | DELTA: instantiating (415) with fresh symbols all_192_0,
% 169.92/26.04 | | | | | | | | | | | | | | | | | | all_192_1 gives:
% 169.92/26.04 | | | | | | | | | | | | | | | | | | (416) apply(all_32_6, all_49_0, all_55_0) = all_192_0 &
% 169.92/26.04 | | | | | | | | | | | | | | | | | | apply(all_32_6, all_49_0, all_41_0) = all_192_1 &
% 169.92/26.04 | | | | | | | | | | | | | | | | | | ( ~ (all_192_0 = 0) | ~ (all_192_1 = 0))
% 169.92/26.04 | | | | | | | | | | | | | | | | | |
% 169.92/26.04 | | | | | | | | | | | | | | | | | | ALPHA: (416) implies:
% 169.92/26.04 | | | | | | | | | | | | | | | | | | (417) apply(all_32_6, all_49_0, all_41_0) = all_192_1
% 169.92/26.04 | | | | | | | | | | | | | | | | | | (418) apply(all_32_6, all_49_0, all_55_0) = all_192_0
% 169.92/26.04 | | | | | | | | | | | | | | | | | |
% 169.92/26.04 | | | | | | | | | | | | | | | | | | REDUCE: (401), (418) imply:
% 169.92/26.04 | | | | | | | | | | | | | | | | | | (419) apply(all_32_6, all_41_2, all_55_0) = all_192_0
% 169.92/26.04 | | | | | | | | | | | | | | | | | |
% 169.92/26.04 | | | | | | | | | | | | | | | | | | REDUCE: (401), (417) imply:
% 169.92/26.04 | | | | | | | | | | | | | | | | | | (420) apply(all_32_6, all_41_2, all_41_0) = all_192_1
% 169.92/26.04 | | | | | | | | | | | | | | | | | |
% 169.92/26.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_153_0, all_41_0,
% 169.92/26.04 | | | | | | | | | | | | | | | | | | all_41_2, all_32_6, simplifying with (41), (399)
% 169.92/26.04 | | | | | | | | | | | | | | | | | | gives:
% 169.92/26.04 | | | | | | | | | | | | | | | | | | (421) all_153_0 = 0
% 169.92/26.04 | | | | | | | | | | | | | | | | | |
% 169.92/26.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_137_0, all_153_0,
% 169.92/26.04 | | | | | | | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 169.92/26.04 | | | | | | | | | | | | | | | | | | (399), (402) gives:
% 169.92/26.04 | | | | | | | | | | | | | | | | | | (422) all_153_0 = all_137_0
% 169.92/26.04 | | | | | | | | | | | | | | | | | |
% 169.92/26.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_132_1, all_172_0,
% 169.92/26.04 | | | | | | | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 169.92/26.04 | | | | | | | | | | | | | | | | | | (403), (412) gives:
% 169.92/26.04 | | | | | | | | | | | | | | | | | | (423) all_172_0 = all_132_1
% 169.92/26.04 | | | | | | | | | | | | | | | | | |
% 169.92/26.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_172_0, all_192_1,
% 169.92/26.04 | | | | | | | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 169.92/26.04 | | | | | | | | | | | | | | | | | | (412), (420) gives:
% 169.92/26.04 | | | | | | | | | | | | | | | | | | (424) all_192_1 = all_172_0
% 169.92/26.04 | | | | | | | | | | | | | | | | | |
% 169.92/26.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_147_0, all_192_1,
% 169.92/26.04 | | | | | | | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 169.92/26.04 | | | | | | | | | | | | | | | | | | (394), (420) gives:
% 169.92/26.04 | | | | | | | | | | | | | | | | | | (425) all_192_1 = all_147_0
% 169.92/26.04 | | | | | | | | | | | | | | | | | |
% 169.92/26.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_137_0, all_192_1,
% 169.92/26.04 | | | | | | | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 169.92/26.04 | | | | | | | | | | | | | | | | | | (402), (420) gives:
% 169.92/26.04 | | | | | | | | | | | | | | | | | | (426) all_192_1 = all_137_0
% 169.92/26.04 | | | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_153_1, all_172_1,
% 169.92/26.05 | | | | | | | | | | | | | | | | | | all_55_0, all_41_2, all_32_6, simplifying with
% 169.92/26.05 | | | | | | | | | | | | | | | | | | (400), (411) gives:
% 169.92/26.05 | | | | | | | | | | | | | | | | | | (427) all_172_1 = all_153_1
% 169.92/26.05 | | | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_192_0, all_55_0,
% 169.92/26.05 | | | | | | | | | | | | | | | | | | all_41_2, all_32_6, simplifying with (70), (419)
% 169.92/26.05 | | | | | | | | | | | | | | | | | | gives:
% 169.92/26.05 | | | | | | | | | | | | | | | | | | (428) all_192_0 = 0
% 169.92/26.05 | | | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_172_1, all_192_0,
% 169.92/26.05 | | | | | | | | | | | | | | | | | | all_55_0, all_41_2, all_32_6, simplifying with
% 169.92/26.05 | | | | | | | | | | | | | | | | | | (411), (419) gives:
% 169.92/26.05 | | | | | | | | | | | | | | | | | | (429) all_192_0 = all_172_1
% 169.92/26.05 | | | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (428), (429) imply:
% 169.92/26.05 | | | | | | | | | | | | | | | | | | (430) all_172_1 = 0
% 169.92/26.05 | | | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | | | | SIMP: (430) implies:
% 169.92/26.05 | | | | | | | | | | | | | | | | | | (431) all_172_1 = 0
% 169.92/26.05 | | | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (425) imply:
% 169.92/26.05 | | | | | | | | | | | | | | | | | | (432) all_172_0 = all_147_0
% 169.92/26.05 | | | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | | | | SIMP: (432) implies:
% 169.92/26.05 | | | | | | | | | | | | | | | | | | (433) all_172_0 = all_147_0
% 169.92/26.05 | | | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (426) imply:
% 169.92/26.05 | | | | | | | | | | | | | | | | | | (434) all_147_0 = all_137_0
% 169.92/26.05 | | | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (423), (433) imply:
% 169.92/26.05 | | | | | | | | | | | | | | | | | | (435) all_147_0 = all_132_1
% 169.92/26.05 | | | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | | | | SIMP: (435) implies:
% 169.92/26.05 | | | | | | | | | | | | | | | | | | (436) all_147_0 = all_132_1
% 169.92/26.05 | | | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (427), (431) imply:
% 169.92/26.05 | | | | | | | | | | | | | | | | | | (437) all_153_1 = 0
% 169.92/26.05 | | | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (422) imply:
% 169.92/26.05 | | | | | | | | | | | | | | | | | | (438) all_137_0 = 0
% 169.92/26.05 | | | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | | | | SIMP: (438) implies:
% 169.92/26.05 | | | | | | | | | | | | | | | | | | (439) all_137_0 = 0
% 169.92/26.05 | | | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (434), (436) imply:
% 169.92/26.05 | | | | | | | | | | | | | | | | | | (440) all_137_0 = all_132_1
% 169.92/26.05 | | | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | | | | SIMP: (440) implies:
% 169.92/26.05 | | | | | | | | | | | | | | | | | | (441) all_137_0 = all_132_1
% 169.92/26.05 | | | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (441) imply:
% 169.92/26.05 | | | | | | | | | | | | | | | | | | (442) all_132_1 = 0
% 169.92/26.05 | | | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | | | | SIMP: (442) implies:
% 169.92/26.05 | | | | | | | | | | | | | | | | | | (443) all_132_1 = 0
% 169.92/26.05 | | | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (423), (443) imply:
% 169.92/26.05 | | | | | | | | | | | | | | | | | | (444) all_172_0 = 0
% 169.92/26.05 | | | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | | | | BETA: splitting (410) gives:
% 169.92/26.05 | | | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | | | | Case 1:
% 169.92/26.05 | | | | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | | | | | (445) ~ (all_172_0 = 0)
% 169.92/26.05 | | | | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | | | | | REDUCE: (444), (445) imply:
% 169.92/26.05 | | | | | | | | | | | | | | | | | | | (446) $false
% 169.92/26.05 | | | | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | | | | | CLOSE: (446) is inconsistent.
% 169.92/26.05 | | | | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | | | | Case 2:
% 169.92/26.05 | | | | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | | | | | (447) ~ (all_172_1 = 0)
% 169.92/26.05 | | | | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | | | | | REDUCE: (431), (447) imply:
% 169.92/26.05 | | | | | | | | | | | | | | | | | | | (448) $false
% 169.92/26.05 | | | | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | | | | | CLOSE: (448) is inconsistent.
% 169.92/26.05 | | | | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | | | | End of split
% 169.92/26.05 | | | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | | | End of split
% 169.92/26.05 | | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | | End of split
% 169.92/26.05 | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | Case 2:
% 169.92/26.05 | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | | (449) ~ (all_49_0 = all_41_2)
% 169.92/26.05 | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (59), (123), (127), (449) are inconsistent by
% 169.92/26.05 | | | | | | | | | | | | | | | | sub-proof #1.
% 169.92/26.05 | | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | | End of split
% 169.92/26.05 | | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | End of split
% 169.92/26.05 | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | End of split
% 169.92/26.05 | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | Case 2:
% 169.92/26.05 | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | (450) member(all_41_2, all_32_4) = all_119_4 &
% 169.92/26.05 | | | | | | | | | | | | | member(all_41_2, all_32_4) = all_119_5 & ( ~
% 169.92/26.05 | | | | | | | | | | | | | (all_119_4 = 0) | ~ (all_119_5 = 0))
% 169.92/26.05 | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | ALPHA: (450) implies:
% 169.92/26.05 | | | | | | | | | | | | | (451) member(all_41_2, all_32_4) = all_119_5
% 169.92/26.05 | | | | | | | | | | | | | (452) member(all_41_2, all_32_4) = all_119_4
% 169.92/26.05 | | | | | | | | | | | | | (453) ~ (all_119_4 = 0) | ~ (all_119_5 = 0)
% 169.92/26.05 | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_119_4, all_32_4,
% 169.92/26.05 | | | | | | | | | | | | | all_41_2, simplifying with (38), (452) gives:
% 169.92/26.05 | | | | | | | | | | | | | (454) all_119_4 = 0
% 169.92/26.05 | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_119_5, all_119_4,
% 169.92/26.05 | | | | | | | | | | | | | all_32_4, all_41_2, simplifying with (451), (452)
% 169.92/26.05 | | | | | | | | | | | | | gives:
% 169.92/26.05 | | | | | | | | | | | | | (455) all_119_4 = all_119_5
% 169.92/26.05 | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | COMBINE_EQS: (454), (455) imply:
% 169.92/26.05 | | | | | | | | | | | | | (456) all_119_5 = 0
% 169.92/26.05 | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | BETA: splitting (453) gives:
% 169.92/26.05 | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | Case 1:
% 169.92/26.05 | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | (457) ~ (all_119_4 = 0)
% 169.92/26.05 | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | REDUCE: (454), (457) imply:
% 169.92/26.05 | | | | | | | | | | | | | | (458) $false
% 169.92/26.05 | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | CLOSE: (458) is inconsistent.
% 169.92/26.05 | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | Case 2:
% 169.92/26.05 | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | (459) ~ (all_119_5 = 0)
% 169.92/26.05 | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | REDUCE: (456), (459) imply:
% 169.92/26.05 | | | | | | | | | | | | | | (460) $false
% 169.92/26.05 | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | | CLOSE: (460) is inconsistent.
% 169.92/26.05 | | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | | End of split
% 169.92/26.05 | | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | | End of split
% 169.92/26.05 | | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | End of split
% 169.92/26.05 | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | End of split
% 169.92/26.05 | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | Case 2:
% 169.92/26.05 | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | (461) member(all_41_0, all_32_5) = all_123_4 &
% 169.92/26.05 | | | | | | | | | | member(all_41_0, all_32_5) = all_123_5 & ( ~
% 169.92/26.05 | | | | | | | | | | (all_123_4 = 0) | ~ (all_123_5 = 0))
% 169.92/26.05 | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | ALPHA: (461) implies:
% 169.92/26.05 | | | | | | | | | | (462) member(all_41_0, all_32_5) = all_123_5
% 169.92/26.05 | | | | | | | | | | (463) member(all_41_0, all_32_5) = all_123_4
% 169.92/26.05 | | | | | | | | | | (464) ~ (all_123_4 = 0) | ~ (all_123_5 = 0)
% 169.92/26.05 | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_123_4, all_32_5,
% 169.92/26.05 | | | | | | | | | | all_41_0, simplifying with (40), (463) gives:
% 169.92/26.05 | | | | | | | | | | (465) all_123_4 = 0
% 169.92/26.05 | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | GROUND_INST: instantiating (8) with all_123_5, all_123_4,
% 169.92/26.05 | | | | | | | | | | all_32_5, all_41_0, simplifying with (462), (463)
% 169.92/26.05 | | | | | | | | | | gives:
% 169.92/26.05 | | | | | | | | | | (466) all_123_4 = all_123_5
% 169.92/26.05 | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | COMBINE_EQS: (465), (466) imply:
% 169.92/26.05 | | | | | | | | | | (467) all_123_5 = 0
% 169.92/26.05 | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | SIMP: (467) implies:
% 169.92/26.05 | | | | | | | | | | (468) all_123_5 = 0
% 169.92/26.05 | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | BETA: splitting (464) gives:
% 169.92/26.05 | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | Case 1:
% 169.92/26.05 | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | (469) ~ (all_123_4 = 0)
% 169.92/26.05 | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | REDUCE: (465), (469) imply:
% 169.92/26.05 | | | | | | | | | | | (470) $false
% 169.92/26.05 | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | CLOSE: (470) is inconsistent.
% 169.92/26.05 | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | Case 2:
% 169.92/26.05 | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | (471) ~ (all_123_5 = 0)
% 169.92/26.05 | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | REDUCE: (468), (471) imply:
% 169.92/26.05 | | | | | | | | | | | (472) $false
% 169.92/26.05 | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | | CLOSE: (472) is inconsistent.
% 169.92/26.05 | | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | | End of split
% 169.92/26.05 | | | | | | | | | |
% 169.92/26.05 | | | | | | | | | End of split
% 169.92/26.05 | | | | | | | | |
% 169.92/26.05 | | | | | | | | End of split
% 169.92/26.05 | | | | | | | |
% 169.92/26.05 | | | | | | | End of split
% 169.92/26.05 | | | | | | |
% 169.92/26.05 | | | | | | End of split
% 169.92/26.05 | | | | | |
% 169.92/26.06 | | | | | End of split
% 169.92/26.06 | | | | |
% 169.92/26.06 | | | | End of split
% 169.92/26.06 | | | |
% 169.92/26.06 | | | End of split
% 169.92/26.06 | | |
% 169.92/26.06 | | End of split
% 169.92/26.06 | |
% 169.92/26.06 | End of split
% 169.92/26.06 |
% 169.92/26.06 End of proof
% 169.92/26.06
% 169.92/26.06 Sub-proof #1 shows that the following formulas are inconsistent:
% 169.92/26.06 ----------------------------------------------------------------
% 169.92/26.06 (1) apply(all_32_8, all_41_1, all_49_0) = 0
% 169.92/26.06 (2) apply(all_32_8, all_41_1, all_41_2) = 0
% 169.92/26.06 (3) all_49_0 = all_41_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.06 all_41_1, all_49_0) = v0 & apply(all_32_8, all_41_1, all_41_2) = v1 &
% 169.92/26.06 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.06 (4) ~ (all_49_0 = all_41_2)
% 169.92/26.06 (5) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 169.92/26.06 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | ~
% 169.92/26.06 (apply(v4, v3, v2) = v0))
% 169.92/26.06
% 169.92/26.06 Begin of proof
% 169.92/26.06 |
% 169.92/26.06 | BETA: splitting (3) gives:
% 169.92/26.06 |
% 169.92/26.06 | Case 1:
% 169.92/26.06 | |
% 169.92/26.06 | | (6) all_49_0 = all_41_2
% 169.92/26.06 | |
% 169.92/26.06 | | REDUCE: (4), (6) imply:
% 169.92/26.06 | | (7) $false
% 169.92/26.06 | |
% 169.92/26.06 | | CLOSE: (7) is inconsistent.
% 169.92/26.06 | |
% 169.92/26.06 | Case 2:
% 169.92/26.06 | |
% 169.92/26.06 | | (8) ? [v0: any] : ? [v1: any] : (apply(all_32_8, all_41_1, all_49_0) =
% 169.92/26.06 | | v0 & apply(all_32_8, all_41_1, all_41_2) = v1 & ( ~ (v1 = 0) | ~
% 169.92/26.06 | | (v0 = 0)))
% 169.92/26.06 | |
% 169.92/26.06 | | DELTA: instantiating (8) with fresh symbols all_186_0, all_186_1 gives:
% 169.92/26.06 | | (9) apply(all_32_8, all_41_1, all_49_0) = all_186_1 & apply(all_32_8,
% 169.92/26.06 | | all_41_1, all_41_2) = all_186_0 & ( ~ (all_186_0 = 0) | ~
% 169.92/26.06 | | (all_186_1 = 0))
% 169.92/26.06 | |
% 169.92/26.06 | | ALPHA: (9) implies:
% 169.92/26.06 | | (10) apply(all_32_8, all_41_1, all_41_2) = all_186_0
% 169.92/26.06 | | (11) apply(all_32_8, all_41_1, all_49_0) = all_186_1
% 169.92/26.06 | | (12) ~ (all_186_0 = 0) | ~ (all_186_1 = 0)
% 169.92/26.06 | |
% 169.92/26.06 | | GROUND_INST: instantiating (5) with 0, all_186_0, all_41_2, all_41_1,
% 169.92/26.06 | | all_32_8, simplifying with (2), (10) gives:
% 169.92/26.06 | | (13) all_186_0 = 0
% 169.92/26.06 | |
% 169.92/26.06 | | GROUND_INST: instantiating (5) with 0, all_186_1, all_49_0, all_41_1,
% 169.92/26.06 | | all_32_8, simplifying with (1), (11) gives:
% 169.92/26.06 | | (14) all_186_1 = 0
% 169.92/26.06 | |
% 169.92/26.06 | | BETA: splitting (12) gives:
% 169.92/26.06 | |
% 169.92/26.06 | | Case 1:
% 169.92/26.06 | | |
% 169.92/26.06 | | | (15) ~ (all_186_0 = 0)
% 169.92/26.06 | | |
% 169.92/26.06 | | | REDUCE: (13), (15) imply:
% 169.92/26.06 | | | (16) $false
% 169.92/26.06 | | |
% 169.92/26.06 | | | CLOSE: (16) is inconsistent.
% 169.92/26.06 | | |
% 169.92/26.06 | | Case 2:
% 169.92/26.06 | | |
% 169.92/26.06 | | | (17) ~ (all_186_1 = 0)
% 169.92/26.06 | | |
% 169.92/26.06 | | | REDUCE: (14), (17) imply:
% 169.92/26.06 | | | (18) $false
% 169.92/26.06 | | |
% 169.92/26.06 | | | CLOSE: (18) is inconsistent.
% 169.92/26.06 | | |
% 169.92/26.06 | | End of split
% 169.92/26.06 | |
% 169.92/26.06 | End of split
% 169.92/26.06 |
% 169.92/26.06 End of proof
% 169.92/26.06
% 169.92/26.06 Sub-proof #2 shows that the following formulas are inconsistent:
% 169.92/26.06 ----------------------------------------------------------------
% 169.92/26.06 (1) all_123_3 = all_41_2 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 169.92/26.06 (apply(all_32_8, all_119_3, all_123_3) = v2 & member(all_119_3, all_32_5)
% 169.92/26.06 = v0 & member(all_41_2, all_32_4) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) |
% 169.92/26.06 ~ (v0 = 0)))
% 169.92/26.06 (2) all_51_0 = all_49_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.06 all_55_0, all_51_0) = v0 & apply(all_32_8, all_55_0, all_49_0) = v1 &
% 169.92/26.06 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.06 (3) apply(all_32_7, all_41_2, all_41_0) = all_78_1
% 169.92/26.06 (4) all_41_0 = all_41_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_7,
% 169.92/26.06 all_111_0, all_41_0) = v0 & apply(all_32_7, all_111_0, all_41_1) = v1
% 169.92/26.06 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.06 (5) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 169.92/26.06 ! [v3: $i] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) =
% 169.92/26.06 v0))
% 169.92/26.06 (6) ~ (all_41_0 = all_41_1)
% 169.92/26.06 (7) all_123_3 = all_51_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.06 all_117_0, all_123_3) = v1 & apply(all_32_8, all_117_0, all_51_0) =
% 169.92/26.06 v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.06 (8) apply(all_32_8, all_41_1, all_121_3) = 0
% 169.92/26.06 (9) all_109_0 = all_41_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 169.92/26.06 all_41_2, all_109_0) = v0 & apply(all_32_6, all_41_2, all_41_1) = v1
% 169.92/26.06 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.06 (10) all_51_0 = all_49_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.06 all_41_0, all_51_0) = v0 & apply(all_32_8, all_41_0, all_49_0) = v1
% 169.92/26.06 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.06 (11) all_123_3 = all_121_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.06 all_41_0, all_123_3) = v0 & apply(all_32_8, all_41_0, all_121_3) =
% 169.92/26.06 v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.06 (12) all_119_3 = all_109_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 169.92/26.06 all_51_0, all_119_3) = v0 & apply(all_32_6, all_51_0, all_109_0) =
% 169.92/26.06 v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.06 (13) all_51_0 = all_41_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.06 all_55_0, all_51_0) = v0 & apply(all_32_8, all_55_0, all_41_2) = v1
% 169.92/26.06 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.06 (14) all_121_3 = all_41_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.06 all_117_0, all_121_3) = v0 & apply(all_32_8, all_117_0, all_41_2) =
% 169.92/26.06 v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.06 (15) all_117_0 = all_41_0
% 169.92/26.06 (16) all_51_0 = all_41_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.06 all_41_0, all_51_0) = v0 & apply(all_32_8, all_41_0, all_41_2) = v1
% 169.92/26.06 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.06 (17) apply(all_32_8, all_41_1, all_41_2) = 0
% 169.92/26.07 (18) all_123_3 = all_41_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.07 all_109_0, all_123_3) = v1 & apply(all_32_8, all_109_0, all_41_2) =
% 169.92/26.07 v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.07 (19) apply(all_32_6, all_41_2, all_41_0) = 0
% 169.92/26.07 (20) all_119_3 = all_109_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 169.92/26.07 all_51_0, all_119_3) = v1 & apply(all_32_6, all_51_0, all_109_0) =
% 169.92/26.07 v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.07 (21) apply(all_32_8, all_41_0, all_41_2) = 0
% 169.92/26.07 (22) all_111_0 = all_41_2 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 169.92/26.07 (apply(all_32_8, all_41_0, all_41_2) = v2 & member(all_111_0, all_32_4)
% 169.92/26.07 = v1 & member(all_41_0, all_32_5) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) |
% 169.92/26.07 ~ (v0 = 0)))
% 169.92/26.07 (23) all_123_3 = all_111_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.07 all_109_0, all_123_3) = v1 & apply(all_32_8, all_109_0, all_111_0) =
% 169.92/26.07 v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.07 (24) all_119_3 = all_109_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 169.92/26.07 all_111_0, all_119_3) = v1 & apply(all_32_6, all_111_0, all_109_0) =
% 169.92/26.07 v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.07 (25) all_123_3 = all_51_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.07 all_41_0, all_123_3) = v0 & apply(all_32_8, all_41_0, all_51_0) = v1
% 169.92/26.07 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.07 (26) apply(all_32_6, all_51_0, all_41_0) = all_154_1
% 169.92/26.07 (27) all_123_3 = all_121_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.07 all_117_0, all_123_3) = v0 & apply(all_32_8, all_117_0, all_121_3) =
% 169.92/26.07 v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.07 (28) ~ (all_78_0 = 0) | ~ (all_78_1 = 0)
% 169.92/26.07 (29) all_123_3 = all_51_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.07 all_109_0, all_123_3) = v1 & apply(all_32_8, all_109_0, all_51_0) =
% 169.92/26.07 v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.07 (30) apply(all_32_7, all_123_3, all_41_0) = 0
% 169.92/26.07 (31) apply(all_32_7, all_41_2, all_41_1) = all_78_0
% 169.92/26.07 (32) all_123_3 = all_51_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.07 all_117_0, all_123_3) = v0 & apply(all_32_8, all_117_0, all_51_0) =
% 169.92/26.07 v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.07 (33) all_123_3 = all_121_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.07 all_119_3, all_123_3) = v1 & apply(all_32_8, all_119_3, all_121_3) =
% 169.92/26.07 v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.07 (34) all_111_0 = all_51_0
% 169.92/26.07 (35) all_123_3 = all_111_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.07 all_109_0, all_123_3) = v0 & apply(all_32_8, all_109_0, all_111_0) =
% 169.92/26.07 v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.07 (36) all_51_0 = all_49_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.07 all_55_0, all_51_0) = v1 & apply(all_32_8, all_55_0, all_49_0) = v0
% 169.92/26.07 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.07 (37) member(all_41_0, all_32_5) = 0
% 169.92/26.07 (38) all_51_0 = all_41_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.07 all_55_0, all_51_0) = v1 & apply(all_32_8, all_55_0, all_41_2) = v0
% 169.92/26.07 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.07 (39) all_119_3 = all_109_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 169.92/26.07 all_111_0, all_119_3) = v0 & apply(all_32_6, all_111_0, all_109_0) =
% 169.92/26.07 v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.07 (40) member(all_51_0, all_32_4) = 0
% 169.92/26.07 (41) all_121_3 = all_111_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.07 all_41_1, all_121_3) = v0 & apply(all_32_8, all_41_1, all_111_0) =
% 169.92/26.07 v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.07 (42) apply(all_32_8, all_41_0, all_123_3) = 0
% 169.92/26.07 (43) all_123_3 = all_121_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.07 all_41_0, all_123_3) = v1 & apply(all_32_8, all_41_0, all_121_3) =
% 169.92/26.07 v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.07 (44) all_119_3 = all_41_0
% 169.92/26.07 (45) all_121_3 = all_41_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.07 all_119_3, all_121_3) = v0 & apply(all_32_8, all_119_3, all_41_2) =
% 169.92/26.07 v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.07 (46) all_55_0 = all_41_0
% 169.92/26.07 (47) all_119_3 = all_109_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 169.92/26.07 all_41_2, all_119_3) = v0 & apply(all_32_6, all_41_2, all_109_0) =
% 169.92/26.07 v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.07 (48) all_123_3 = all_51_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.07 all_119_3, all_123_3) = v0 & apply(all_32_8, all_119_3, all_51_0) =
% 169.92/26.07 v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.07 (49) apply(all_32_7, all_51_0, all_41_0) = all_173_1
% 169.92/26.07 (50) all_49_0 = all_41_2
% 169.92/26.07 (51) apply(all_32_7, all_51_0, all_41_1) = all_173_0
% 169.92/26.07 (52) apply(all_32_8, all_41_0, all_51_0) = 0
% 169.92/26.07 (53) all_119_3 = all_109_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 169.92/26.07 all_41_2, all_119_3) = v1 & apply(all_32_6, all_41_2, all_109_0) =
% 169.92/26.07 v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.07 (54) all_51_0 = all_49_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.07 all_41_0, all_51_0) = v1 & apply(all_32_8, all_41_0, all_49_0) = v0
% 169.92/26.07 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.08 (55) all_51_0 = all_49_0 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 169.92/26.08 (apply(all_32_8, all_41_0, all_49_0) = v2 & member(all_51_0, all_32_4) =
% 169.92/26.08 v1 & member(all_41_0, all_32_5) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 169.92/26.08 (v0 = 0)))
% 169.92/26.08 (56) all_123_3 = all_121_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.08 all_119_3, all_123_3) = v0 & apply(all_32_8, all_119_3, all_121_3) =
% 169.92/26.08 v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.08 (57) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 169.92/26.08 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | ~
% 169.92/26.08 (apply(v4, v3, v2) = v0))
% 169.92/26.08 (58) all_123_3 = all_51_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.08 all_109_0, all_123_3) = v0 & apply(all_32_8, all_109_0, all_51_0) =
% 169.92/26.08 v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.08 (59) all_123_3 = all_121_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.08 all_109_0, all_123_3) = v0 & apply(all_32_8, all_109_0, all_121_3) =
% 169.92/26.08 v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.08 (60) all_41_0 = all_41_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 169.92/26.08 all_123_3, all_41_0) = v0 & apply(all_32_6, all_123_3, all_41_1) =
% 169.92/26.08 v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.08 (61) apply(all_32_7, all_121_3, all_41_1) = 0
% 169.92/26.08 (62) all_111_0 = all_41_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.08 all_117_0, all_111_0) = v1 & apply(all_32_8, all_117_0, all_41_2) =
% 169.92/26.08 v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.08 (63) all_123_3 = all_121_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.08 all_109_0, all_123_3) = v1 & apply(all_32_8, all_109_0, all_121_3) =
% 169.92/26.08 v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.08 (64) all_123_3 = all_41_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.08 all_109_0, all_123_3) = v0 & apply(all_32_8, all_109_0, all_41_2) =
% 169.92/26.08 v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.08 (65) apply(all_32_6, all_51_0, all_109_0) = 0
% 169.92/26.08 (66) all_51_0 = all_41_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.08 all_41_0, all_51_0) = v1 & apply(all_32_8, all_41_0, all_41_2) = v0
% 169.92/26.08 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.08 (67) all_121_3 = all_41_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.08 all_117_0, all_121_3) = v1 & apply(all_32_8, all_117_0, all_41_2) =
% 169.92/26.08 v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.08 (68) all_51_0 = all_41_2 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 169.92/26.08 (apply(all_32_8, all_41_0, all_41_2) = v2 & member(all_51_0, all_32_4) =
% 169.92/26.08 v1 & member(all_41_0, all_32_5) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 169.92/26.08 (v0 = 0)))
% 169.92/26.08 (69) all_123_3 = all_51_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.08 all_119_3, all_123_3) = v1 & apply(all_32_8, all_119_3, all_51_0) =
% 169.92/26.08 v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.08
% 169.92/26.08 Begin of proof
% 169.92/26.08 |
% 169.92/26.08 | BETA: splitting (4) gives:
% 169.92/26.08 |
% 169.92/26.08 | Case 1:
% 169.92/26.08 | |
% 169.92/26.08 | | (70) all_41_0 = all_41_1
% 169.92/26.08 | |
% 169.92/26.08 | | REDUCE: (6), (70) imply:
% 169.92/26.08 | | (71) $false
% 169.92/26.08 | |
% 169.92/26.08 | | CLOSE: (71) is inconsistent.
% 169.92/26.08 | |
% 169.92/26.08 | Case 2:
% 169.92/26.08 | |
% 169.92/26.08 | | (72) ? [v0: any] : ? [v1: any] : (apply(all_32_7, all_111_0, all_41_0)
% 169.92/26.08 | | = v0 & apply(all_32_7, all_111_0, all_41_1) = v1 & ( ~ (v1 = 0) |
% 169.92/26.08 | | ~ (v0 = 0)))
% 169.92/26.08 | |
% 169.92/26.08 | | DELTA: instantiating (72) with fresh symbols all_244_0, all_244_1 gives:
% 169.92/26.08 | | (73) apply(all_32_7, all_111_0, all_41_0) = all_244_1 & apply(all_32_7,
% 169.92/26.08 | | all_111_0, all_41_1) = all_244_0 & ( ~ (all_244_0 = 0) | ~
% 169.92/26.08 | | (all_244_1 = 0))
% 169.92/26.08 | |
% 169.92/26.08 | | ALPHA: (73) implies:
% 169.92/26.08 | | (74) apply(all_32_7, all_111_0, all_41_1) = all_244_0
% 169.92/26.08 | | (75) apply(all_32_7, all_111_0, all_41_0) = all_244_1
% 169.92/26.08 | |
% 169.92/26.08 | | REDUCE: (34), (75) imply:
% 169.92/26.08 | | (76) apply(all_32_7, all_51_0, all_41_0) = all_244_1
% 169.92/26.08 | |
% 169.92/26.08 | | REDUCE: (34), (74) imply:
% 169.92/26.08 | | (77) apply(all_32_7, all_51_0, all_41_1) = all_244_0
% 169.92/26.08 | |
% 169.92/26.08 | | BETA: splitting (62) gives:
% 169.92/26.08 | |
% 169.92/26.08 | | Case 1:
% 169.92/26.08 | | |
% 169.92/26.08 | | | (78) all_111_0 = all_41_2
% 169.92/26.08 | | |
% 169.92/26.08 | | | COMBINE_EQS: (34), (78) imply:
% 169.92/26.08 | | | (79) all_51_0 = all_41_2
% 169.92/26.08 | | |
% 169.92/26.08 | | | SIMP: (79) implies:
% 169.92/26.08 | | | (80) all_51_0 = all_41_2
% 169.92/26.08 | | |
% 169.92/26.08 | | | REDUCE: (65), (80) imply:
% 169.92/26.08 | | | (81) apply(all_32_6, all_41_2, all_109_0) = 0
% 169.92/26.08 | | |
% 169.92/26.08 | | | REDUCE: (26), (80) imply:
% 169.92/26.08 | | | (82) apply(all_32_6, all_41_2, all_41_0) = all_154_1
% 169.92/26.08 | | |
% 169.92/26.08 | | | REDUCE: (76), (80) imply:
% 169.92/26.08 | | | (83) apply(all_32_7, all_41_2, all_41_0) = all_244_1
% 169.92/26.08 | | |
% 169.92/26.08 | | | REDUCE: (49), (80) imply:
% 169.92/26.08 | | | (84) apply(all_32_7, all_41_2, all_41_0) = all_173_1
% 169.92/26.08 | | |
% 169.92/26.08 | | | REDUCE: (77), (80) imply:
% 169.92/26.08 | | | (85) apply(all_32_7, all_41_2, all_41_1) = all_244_0
% 169.92/26.08 | | |
% 169.92/26.08 | | | REDUCE: (51), (80) imply:
% 169.92/26.08 | | | (86) apply(all_32_7, all_41_2, all_41_1) = all_173_0
% 169.92/26.08 | | |
% 169.92/26.08 | | | BETA: splitting (41) gives:
% 169.92/26.08 | | |
% 169.92/26.08 | | | Case 1:
% 169.92/26.08 | | | |
% 169.92/26.08 | | | | (87) all_121_3 = all_111_0
% 169.92/26.08 | | | |
% 169.92/26.08 | | | | COMBINE_EQS: (78), (87) imply:
% 169.92/26.08 | | | | (88) all_121_3 = all_41_2
% 169.92/26.08 | | | |
% 169.92/26.08 | | | | REDUCE: (61), (88) imply:
% 169.92/26.08 | | | | (89) apply(all_32_7, all_41_2, all_41_1) = 0
% 169.92/26.08 | | | |
% 169.92/26.08 | | | | BETA: splitting (7) gives:
% 169.92/26.08 | | | |
% 169.92/26.08 | | | | Case 1:
% 169.92/26.08 | | | | |
% 169.92/26.08 | | | | | (90) all_123_3 = all_51_0
% 169.92/26.08 | | | | |
% 169.92/26.08 | | | | | COMBINE_EQS: (80), (90) imply:
% 169.92/26.08 | | | | | (91) all_123_3 = all_41_2
% 169.92/26.08 | | | | |
% 169.92/26.08 | | | | | REDUCE: (30), (91) imply:
% 169.92/26.08 | | | | | (92) apply(all_32_7, all_41_2, all_41_0) = 0
% 169.92/26.08 | | | | |
% 169.92/26.08 | | | | | GROUND_INST: instantiating (57) with all_78_0, all_173_0, all_41_1,
% 169.92/26.08 | | | | | all_41_2, all_32_7, simplifying with (31), (86) gives:
% 169.92/26.08 | | | | | (93) all_173_0 = all_78_0
% 169.92/26.08 | | | | |
% 169.92/26.08 | | | | | GROUND_INST: instantiating (57) with all_173_0, all_244_0, all_41_1,
% 169.92/26.08 | | | | | all_41_2, all_32_7, simplifying with (85), (86) gives:
% 169.92/26.08 | | | | | (94) all_244_0 = all_173_0
% 169.92/26.08 | | | | |
% 169.92/26.08 | | | | | GROUND_INST: instantiating (57) with 0, all_244_0, all_41_1, all_41_2,
% 169.92/26.08 | | | | | all_32_7, simplifying with (85), (89) gives:
% 169.92/26.08 | | | | | (95) all_244_0 = 0
% 169.92/26.08 | | | | |
% 169.92/26.08 | | | | | GROUND_INST: instantiating (57) with 0, all_173_1, all_41_0, all_41_2,
% 169.92/26.08 | | | | | all_32_7, simplifying with (84), (92) gives:
% 169.92/26.08 | | | | | (96) all_173_1 = 0
% 169.92/26.08 | | | | |
% 169.92/26.08 | | | | | GROUND_INST: instantiating (57) with all_78_1, all_244_1, all_41_0,
% 169.92/26.08 | | | | | all_41_2, all_32_7, simplifying with (3), (83) gives:
% 169.92/26.08 | | | | | (97) all_244_1 = all_78_1
% 169.92/26.08 | | | | |
% 169.92/26.08 | | | | | GROUND_INST: instantiating (57) with all_173_1, all_244_1, all_41_0,
% 169.92/26.08 | | | | | all_41_2, all_32_7, simplifying with (83), (84) gives:
% 169.92/26.08 | | | | | (98) all_244_1 = all_173_1
% 169.92/26.08 | | | | |
% 169.92/26.08 | | | | | COMBINE_EQS: (94), (95) imply:
% 169.92/26.08 | | | | | (99) all_173_0 = 0
% 169.92/26.08 | | | | |
% 169.92/26.08 | | | | | SIMP: (99) implies:
% 169.92/26.08 | | | | | (100) all_173_0 = 0
% 169.92/26.08 | | | | |
% 169.92/26.08 | | | | | COMBINE_EQS: (97), (98) imply:
% 169.92/26.08 | | | | | (101) all_173_1 = all_78_1
% 169.92/26.08 | | | | |
% 169.92/26.08 | | | | | SIMP: (101) implies:
% 169.92/26.09 | | | | | (102) all_173_1 = all_78_1
% 169.92/26.09 | | | | |
% 169.92/26.09 | | | | | COMBINE_EQS: (93), (100) imply:
% 169.92/26.09 | | | | | (103) all_78_0 = 0
% 169.92/26.09 | | | | |
% 169.92/26.09 | | | | | SIMP: (103) implies:
% 169.92/26.09 | | | | | (104) all_78_0 = 0
% 169.92/26.09 | | | | |
% 169.92/26.09 | | | | | COMBINE_EQS: (96), (102) imply:
% 169.92/26.09 | | | | | (105) all_78_1 = 0
% 169.92/26.09 | | | | |
% 169.92/26.09 | | | | | BETA: splitting (28) gives:
% 169.92/26.09 | | | | |
% 169.92/26.09 | | | | | Case 1:
% 169.92/26.09 | | | | | |
% 169.92/26.09 | | | | | | (106) ~ (all_78_0 = 0)
% 169.92/26.09 | | | | | |
% 169.92/26.09 | | | | | | REDUCE: (104), (106) imply:
% 169.92/26.09 | | | | | | (107) $false
% 169.92/26.09 | | | | | |
% 169.92/26.09 | | | | | | CLOSE: (107) is inconsistent.
% 169.92/26.09 | | | | | |
% 169.92/26.09 | | | | | Case 2:
% 169.92/26.09 | | | | | |
% 169.92/26.09 | | | | | | (108) ~ (all_78_1 = 0)
% 169.92/26.09 | | | | | |
% 169.92/26.09 | | | | | | REDUCE: (105), (108) imply:
% 169.92/26.09 | | | | | | (109) $false
% 169.92/26.09 | | | | | |
% 169.92/26.09 | | | | | | CLOSE: (109) is inconsistent.
% 169.92/26.09 | | | | | |
% 169.92/26.09 | | | | | End of split
% 169.92/26.09 | | | | |
% 169.92/26.09 | | | | Case 2:
% 169.92/26.09 | | | | |
% 169.92/26.09 | | | | | (110) ~ (all_123_3 = all_51_0)
% 169.92/26.09 | | | | |
% 169.92/26.09 | | | | | REDUCE: (80), (110) imply:
% 169.92/26.09 | | | | | (111) ~ (all_123_3 = all_41_2)
% 169.92/26.09 | | | | |
% 169.92/26.09 | | | | | BETA: splitting (23) gives:
% 169.92/26.09 | | | | |
% 169.92/26.09 | | | | | Case 1:
% 169.92/26.09 | | | | | |
% 169.92/26.09 | | | | | | (112) all_123_3 = all_111_0
% 169.92/26.09 | | | | | |
% 169.92/26.09 | | | | | | COMBINE_EQS: (78), (112) imply:
% 169.92/26.09 | | | | | | (113) all_123_3 = all_41_2
% 169.92/26.09 | | | | | |
% 169.92/26.09 | | | | | | REDUCE: (111), (113) imply:
% 169.92/26.09 | | | | | | (114) $false
% 169.92/26.09 | | | | | |
% 169.92/26.09 | | | | | | CLOSE: (114) is inconsistent.
% 169.92/26.09 | | | | | |
% 169.92/26.09 | | | | | Case 2:
% 169.92/26.09 | | | | | |
% 169.92/26.09 | | | | | | (115) ~ (all_123_3 = all_111_0)
% 169.92/26.09 | | | | | | (116) ? [v0: any] : ? [v1: any] : (apply(all_32_8, all_109_0,
% 169.92/26.09 | | | | | | all_123_3) = v1 & apply(all_32_8, all_109_0, all_111_0)
% 169.92/26.09 | | | | | | = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.09 | | | | | |
% 169.92/26.09 | | | | | | DELTA: instantiating (116) with fresh symbols all_506_0, all_506_1
% 169.92/26.09 | | | | | | gives:
% 169.92/26.09 | | | | | | (117) apply(all_32_8, all_109_0, all_123_3) = all_506_0 &
% 169.92/26.09 | | | | | | apply(all_32_8, all_109_0, all_111_0) = all_506_1 & ( ~
% 169.92/26.09 | | | | | | (all_506_0 = 0) | ~ (all_506_1 = 0))
% 169.92/26.09 | | | | | |
% 169.92/26.09 | | | | | | ALPHA: (117) implies:
% 169.92/26.09 | | | | | | (118) apply(all_32_8, all_109_0, all_123_3) = all_506_0
% 169.92/26.09 | | | | | |
% 169.92/26.09 | | | | | | BETA: splitting (35) gives:
% 169.92/26.09 | | | | | |
% 169.92/26.09 | | | | | | Case 1:
% 169.92/26.09 | | | | | | |
% 169.92/26.09 | | | | | | | (119) all_123_3 = all_111_0
% 169.92/26.09 | | | | | | |
% 169.92/26.09 | | | | | | | COMBINE_EQS: (78), (119) imply:
% 169.92/26.09 | | | | | | | (120) all_123_3 = all_41_2
% 169.92/26.09 | | | | | | |
% 169.92/26.09 | | | | | | | REDUCE: (111), (120) imply:
% 169.92/26.09 | | | | | | | (121) $false
% 169.92/26.09 | | | | | | |
% 169.92/26.09 | | | | | | | CLOSE: (121) is inconsistent.
% 169.92/26.09 | | | | | | |
% 169.92/26.09 | | | | | | Case 2:
% 169.92/26.09 | | | | | | |
% 169.92/26.09 | | | | | | | (122) ? [v0: any] : ? [v1: any] : (apply(all_32_8, all_109_0,
% 169.92/26.09 | | | | | | | all_123_3) = v0 & apply(all_32_8, all_109_0,
% 169.92/26.09 | | | | | | | all_111_0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.09 | | | | | | |
% 169.92/26.09 | | | | | | | DELTA: instantiating (122) with fresh symbols all_511_0, all_511_1
% 169.92/26.09 | | | | | | | gives:
% 169.92/26.09 | | | | | | | (123) apply(all_32_8, all_109_0, all_123_3) = all_511_1 &
% 169.92/26.09 | | | | | | | apply(all_32_8, all_109_0, all_111_0) = all_511_0 & ( ~
% 169.92/26.09 | | | | | | | (all_511_0 = 0) | ~ (all_511_1 = 0))
% 169.92/26.09 | | | | | | |
% 169.92/26.09 | | | | | | | ALPHA: (123) implies:
% 169.92/26.09 | | | | | | | (124) apply(all_32_8, all_109_0, all_111_0) = all_511_0
% 169.92/26.09 | | | | | | | (125) apply(all_32_8, all_109_0, all_123_3) = all_511_1
% 169.92/26.09 | | | | | | | (126) ~ (all_511_0 = 0) | ~ (all_511_1 = 0)
% 169.92/26.09 | | | | | | |
% 169.92/26.09 | | | | | | | REDUCE: (78), (124) imply:
% 169.92/26.09 | | | | | | | (127) apply(all_32_8, all_109_0, all_41_2) = all_511_0
% 169.92/26.09 | | | | | | |
% 169.92/26.09 | | | | | | | BETA: splitting (63) gives:
% 169.92/26.09 | | | | | | |
% 169.92/26.09 | | | | | | | Case 1:
% 169.92/26.09 | | | | | | | |
% 169.92/26.09 | | | | | | | | (128) all_123_3 = all_121_3
% 169.92/26.09 | | | | | | | |
% 169.92/26.09 | | | | | | | | COMBINE_EQS: (88), (128) imply:
% 169.92/26.09 | | | | | | | | (129) all_123_3 = all_41_2
% 169.92/26.09 | | | | | | | |
% 169.92/26.09 | | | | | | | | REDUCE: (111), (129) imply:
% 169.92/26.09 | | | | | | | | (130) $false
% 169.92/26.09 | | | | | | | |
% 169.92/26.09 | | | | | | | | CLOSE: (130) is inconsistent.
% 169.92/26.09 | | | | | | | |
% 169.92/26.09 | | | | | | | Case 2:
% 169.92/26.09 | | | | | | | |
% 169.92/26.09 | | | | | | | | (131) ~ (all_123_3 = all_121_3)
% 169.92/26.09 | | | | | | | | (132) ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.09 | | | | | | | | all_109_0, all_123_3) = v1 & apply(all_32_8,
% 169.92/26.09 | | | | | | | | all_109_0, all_121_3) = v0 & ( ~ (v1 = 0) | ~ (v0
% 169.92/26.09 | | | | | | | | = 0)))
% 169.92/26.09 | | | | | | | |
% 169.92/26.09 | | | | | | | | DELTA: instantiating (132) with fresh symbols all_576_0,
% 169.92/26.09 | | | | | | | | all_576_1 gives:
% 169.92/26.09 | | | | | | | | (133) apply(all_32_8, all_109_0, all_123_3) = all_576_0 &
% 169.92/26.09 | | | | | | | | apply(all_32_8, all_109_0, all_121_3) = all_576_1 & ( ~
% 169.92/26.09 | | | | | | | | (all_576_0 = 0) | ~ (all_576_1 = 0))
% 169.92/26.09 | | | | | | | |
% 169.92/26.09 | | | | | | | | ALPHA: (133) implies:
% 169.92/26.09 | | | | | | | | (134) apply(all_32_8, all_109_0, all_123_3) = all_576_0
% 169.92/26.09 | | | | | | | |
% 169.92/26.09 | | | | | | | | BETA: splitting (59) gives:
% 169.92/26.09 | | | | | | | |
% 169.92/26.09 | | | | | | | | Case 1:
% 169.92/26.09 | | | | | | | | |
% 169.92/26.09 | | | | | | | | | (135) all_123_3 = all_121_3
% 169.92/26.09 | | | | | | | | |
% 169.92/26.09 | | | | | | | | | COMBINE_EQS: (88), (135) imply:
% 169.92/26.09 | | | | | | | | | (136) all_123_3 = all_41_2
% 169.92/26.09 | | | | | | | | |
% 169.92/26.09 | | | | | | | | | REDUCE: (111), (136) imply:
% 169.92/26.09 | | | | | | | | | (137) $false
% 169.92/26.09 | | | | | | | | |
% 169.92/26.09 | | | | | | | | | CLOSE: (137) is inconsistent.
% 169.92/26.09 | | | | | | | | |
% 169.92/26.09 | | | | | | | | Case 2:
% 169.92/26.09 | | | | | | | | |
% 169.92/26.09 | | | | | | | | | (138) ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.09 | | | | | | | | | all_109_0, all_123_3) = v0 & apply(all_32_8,
% 169.92/26.09 | | | | | | | | | all_109_0, all_121_3) = v1 & ( ~ (v1 = 0) | ~
% 169.92/26.09 | | | | | | | | | (v0 = 0)))
% 169.92/26.09 | | | | | | | | |
% 169.92/26.09 | | | | | | | | | DELTA: instantiating (138) with fresh symbols all_586_0,
% 169.92/26.09 | | | | | | | | | all_586_1 gives:
% 169.92/26.09 | | | | | | | | | (139) apply(all_32_8, all_109_0, all_123_3) = all_586_1 &
% 169.92/26.09 | | | | | | | | | apply(all_32_8, all_109_0, all_121_3) = all_586_0 & (
% 169.92/26.09 | | | | | | | | | ~ (all_586_0 = 0) | ~ (all_586_1 = 0))
% 169.92/26.09 | | | | | | | | |
% 169.92/26.09 | | | | | | | | | ALPHA: (139) implies:
% 169.92/26.09 | | | | | | | | | (140) apply(all_32_8, all_109_0, all_123_3) = all_586_1
% 169.92/26.09 | | | | | | | | |
% 169.92/26.09 | | | | | | | | | BETA: splitting (29) gives:
% 169.92/26.09 | | | | | | | | |
% 169.92/26.09 | | | | | | | | | Case 1:
% 169.92/26.09 | | | | | | | | | |
% 169.92/26.09 | | | | | | | | | | (141) all_123_3 = all_51_0
% 169.92/26.09 | | | | | | | | | |
% 169.92/26.09 | | | | | | | | | | COMBINE_EQS: (80), (141) imply:
% 169.92/26.09 | | | | | | | | | | (142) all_123_3 = all_41_2
% 169.92/26.09 | | | | | | | | | |
% 169.92/26.09 | | | | | | | | | | REDUCE: (111), (142) imply:
% 169.92/26.09 | | | | | | | | | | (143) $false
% 169.92/26.09 | | | | | | | | | |
% 169.92/26.09 | | | | | | | | | | CLOSE: (143) is inconsistent.
% 169.92/26.09 | | | | | | | | | |
% 169.92/26.09 | | | | | | | | | Case 2:
% 169.92/26.09 | | | | | | | | | |
% 169.92/26.09 | | | | | | | | | | (144) ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.09 | | | | | | | | | | all_109_0, all_123_3) = v1 & apply(all_32_8,
% 169.92/26.09 | | | | | | | | | | all_109_0, all_51_0) = v0 & ( ~ (v1 = 0) | ~
% 169.92/26.09 | | | | | | | | | | (v0 = 0)))
% 169.92/26.09 | | | | | | | | | |
% 169.92/26.09 | | | | | | | | | | DELTA: instantiating (144) with fresh symbols all_591_0,
% 169.92/26.09 | | | | | | | | | | all_591_1 gives:
% 169.92/26.09 | | | | | | | | | | (145) apply(all_32_8, all_109_0, all_123_3) = all_591_0 &
% 169.92/26.09 | | | | | | | | | | apply(all_32_8, all_109_0, all_51_0) = all_591_1 &
% 169.92/26.09 | | | | | | | | | | ( ~ (all_591_0 = 0) | ~ (all_591_1 = 0))
% 169.92/26.09 | | | | | | | | | |
% 169.92/26.09 | | | | | | | | | | ALPHA: (145) implies:
% 169.92/26.09 | | | | | | | | | | (146) apply(all_32_8, all_109_0, all_123_3) = all_591_0
% 169.92/26.09 | | | | | | | | | |
% 169.92/26.09 | | | | | | | | | | BETA: splitting (18) gives:
% 169.92/26.09 | | | | | | | | | |
% 169.92/26.09 | | | | | | | | | | Case 1:
% 169.92/26.09 | | | | | | | | | | |
% 169.92/26.09 | | | | | | | | | | | (147) all_123_3 = all_41_2
% 169.92/26.09 | | | | | | | | | | |
% 169.92/26.09 | | | | | | | | | | | REDUCE: (111), (147) imply:
% 169.92/26.09 | | | | | | | | | | | (148) $false
% 169.92/26.09 | | | | | | | | | | |
% 169.92/26.09 | | | | | | | | | | | CLOSE: (148) is inconsistent.
% 169.92/26.09 | | | | | | | | | | |
% 169.92/26.09 | | | | | | | | | | Case 2:
% 169.92/26.09 | | | | | | | | | | |
% 169.92/26.09 | | | | | | | | | | | (149) ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.09 | | | | | | | | | | | all_109_0, all_123_3) = v1 & apply(all_32_8,
% 169.92/26.09 | | | | | | | | | | | all_109_0, all_41_2) = v0 & ( ~ (v1 = 0) | ~
% 169.92/26.09 | | | | | | | | | | | (v0 = 0)))
% 169.92/26.09 | | | | | | | | | | |
% 169.92/26.09 | | | | | | | | | | | DELTA: instantiating (149) with fresh symbols all_606_0,
% 169.92/26.09 | | | | | | | | | | | all_606_1 gives:
% 169.92/26.09 | | | | | | | | | | | (150) apply(all_32_8, all_109_0, all_123_3) = all_606_0
% 169.92/26.09 | | | | | | | | | | | & apply(all_32_8, all_109_0, all_41_2) = all_606_1
% 169.92/26.09 | | | | | | | | | | | & ( ~ (all_606_0 = 0) | ~ (all_606_1 = 0))
% 169.92/26.09 | | | | | | | | | | |
% 169.92/26.09 | | | | | | | | | | | ALPHA: (150) implies:
% 169.92/26.09 | | | | | | | | | | | (151) apply(all_32_8, all_109_0, all_41_2) = all_606_1
% 169.92/26.09 | | | | | | | | | | | (152) apply(all_32_8, all_109_0, all_123_3) = all_606_0
% 169.92/26.09 | | | | | | | | | | |
% 169.92/26.09 | | | | | | | | | | | BETA: splitting (58) gives:
% 169.92/26.09 | | | | | | | | | | |
% 169.92/26.09 | | | | | | | | | | | Case 1:
% 169.92/26.09 | | | | | | | | | | | |
% 169.92/26.09 | | | | | | | | | | | | (153) all_123_3 = all_51_0
% 169.92/26.09 | | | | | | | | | | | |
% 169.92/26.09 | | | | | | | | | | | | COMBINE_EQS: (80), (153) imply:
% 169.92/26.09 | | | | | | | | | | | | (154) all_123_3 = all_41_2
% 169.92/26.09 | | | | | | | | | | | |
% 169.92/26.09 | | | | | | | | | | | | REDUCE: (111), (154) imply:
% 169.92/26.09 | | | | | | | | | | | | (155) $false
% 169.92/26.09 | | | | | | | | | | | |
% 169.92/26.09 | | | | | | | | | | | | CLOSE: (155) is inconsistent.
% 169.92/26.09 | | | | | | | | | | | |
% 169.92/26.09 | | | | | | | | | | | Case 2:
% 169.92/26.09 | | | | | | | | | | | |
% 169.92/26.09 | | | | | | | | | | | | (156) ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.09 | | | | | | | | | | | | all_109_0, all_123_3) = v0 & apply(all_32_8,
% 169.92/26.09 | | | | | | | | | | | | all_109_0, all_51_0) = v1 & ( ~ (v1 = 0) | ~
% 169.92/26.09 | | | | | | | | | | | | (v0 = 0)))
% 169.92/26.09 | | | | | | | | | | | |
% 169.92/26.09 | | | | | | | | | | | | DELTA: instantiating (156) with fresh symbols all_616_0,
% 169.92/26.09 | | | | | | | | | | | | all_616_1 gives:
% 169.92/26.09 | | | | | | | | | | | | (157) apply(all_32_8, all_109_0, all_123_3) = all_616_1
% 169.92/26.09 | | | | | | | | | | | | & apply(all_32_8, all_109_0, all_51_0) = all_616_0
% 169.92/26.09 | | | | | | | | | | | | & ( ~ (all_616_0 = 0) | ~ (all_616_1 = 0))
% 169.92/26.09 | | | | | | | | | | | |
% 169.92/26.09 | | | | | | | | | | | | ALPHA: (157) implies:
% 169.92/26.09 | | | | | | | | | | | | (158) apply(all_32_8, all_109_0, all_51_0) = all_616_0
% 169.92/26.09 | | | | | | | | | | | | (159) apply(all_32_8, all_109_0, all_123_3) = all_616_1
% 169.92/26.09 | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | REDUCE: (80), (158) imply:
% 169.92/26.10 | | | | | | | | | | | | (160) apply(all_32_8, all_109_0, all_41_2) = all_616_0
% 169.92/26.10 | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | BETA: splitting (64) gives:
% 169.92/26.10 | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | Case 1:
% 169.92/26.10 | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | (161) all_123_3 = all_41_2
% 169.92/26.10 | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | REDUCE: (111), (161) imply:
% 169.92/26.10 | | | | | | | | | | | | | (162) $false
% 169.92/26.10 | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | CLOSE: (162) is inconsistent.
% 169.92/26.10 | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | Case 2:
% 169.92/26.10 | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | (163) ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.10 | | | | | | | | | | | | | all_109_0, all_123_3) = v0 & apply(all_32_8,
% 169.92/26.10 | | | | | | | | | | | | | all_109_0, all_41_2) = v1 & ( ~ (v1 = 0) | ~
% 169.92/26.10 | | | | | | | | | | | | | (v0 = 0)))
% 169.92/26.10 | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | DELTA: instantiating (163) with fresh symbols all_621_0,
% 169.92/26.10 | | | | | | | | | | | | | all_621_1 gives:
% 169.92/26.10 | | | | | | | | | | | | | (164) apply(all_32_8, all_109_0, all_123_3) = all_621_1
% 169.92/26.10 | | | | | | | | | | | | | & apply(all_32_8, all_109_0, all_41_2) = all_621_0
% 169.92/26.10 | | | | | | | | | | | | | & ( ~ (all_621_0 = 0) | ~ (all_621_1 = 0))
% 169.92/26.10 | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | ALPHA: (164) implies:
% 169.92/26.10 | | | | | | | | | | | | | (165) apply(all_32_8, all_109_0, all_123_3) = all_621_1
% 169.92/26.10 | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | BETA: splitting (47) gives:
% 169.92/26.10 | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | Case 1:
% 169.92/26.10 | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | (166) all_119_3 = all_109_0
% 169.92/26.10 | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | COMBINE_EQS: (44), (166) imply:
% 169.92/26.10 | | | | | | | | | | | | | | (167) all_109_0 = all_41_0
% 169.92/26.10 | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | REDUCE: (165), (167) imply:
% 169.92/26.10 | | | | | | | | | | | | | | (168) apply(all_32_8, all_41_0, all_123_3) = all_621_1
% 169.92/26.10 | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | REDUCE: (159), (167) imply:
% 169.92/26.10 | | | | | | | | | | | | | | (169) apply(all_32_8, all_41_0, all_123_3) = all_616_1
% 169.92/26.10 | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | REDUCE: (152), (167) imply:
% 169.92/26.10 | | | | | | | | | | | | | | (170) apply(all_32_8, all_41_0, all_123_3) = all_606_0
% 169.92/26.10 | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | REDUCE: (146), (167) imply:
% 169.92/26.10 | | | | | | | | | | | | | | (171) apply(all_32_8, all_41_0, all_123_3) = all_591_0
% 169.92/26.10 | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | REDUCE: (140), (167) imply:
% 169.92/26.10 | | | | | | | | | | | | | | (172) apply(all_32_8, all_41_0, all_123_3) = all_586_1
% 169.92/26.10 | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | REDUCE: (134), (167) imply:
% 169.92/26.10 | | | | | | | | | | | | | | (173) apply(all_32_8, all_41_0, all_123_3) = all_576_0
% 169.92/26.10 | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | REDUCE: (125), (167) imply:
% 169.92/26.10 | | | | | | | | | | | | | | (174) apply(all_32_8, all_41_0, all_123_3) = all_511_1
% 169.92/26.10 | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | REDUCE: (118), (167) imply:
% 169.92/26.10 | | | | | | | | | | | | | | (175) apply(all_32_8, all_41_0, all_123_3) = all_506_0
% 169.92/26.10 | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | REDUCE: (160), (167) imply:
% 169.92/26.10 | | | | | | | | | | | | | | (176) apply(all_32_8, all_41_0, all_41_2) = all_616_0
% 169.92/26.10 | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | REDUCE: (151), (167) imply:
% 169.92/26.10 | | | | | | | | | | | | | | (177) apply(all_32_8, all_41_0, all_41_2) = all_606_1
% 169.92/26.10 | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | REDUCE: (127), (167) imply:
% 169.92/26.10 | | | | | | | | | | | | | | (178) apply(all_32_8, all_41_0, all_41_2) = all_511_0
% 169.92/26.10 | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | BETA: splitting (9) gives:
% 169.92/26.10 | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | Case 1:
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | (179) all_109_0 = all_41_1
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | COMBINE_EQS: (167), (179) imply:
% 169.92/26.10 | | | | | | | | | | | | | | | (180) all_41_0 = all_41_1
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | SIMP: (180) implies:
% 169.92/26.10 | | | | | | | | | | | | | | | (181) all_41_0 = all_41_1
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | REDUCE: (6), (181) imply:
% 169.92/26.10 | | | | | | | | | | | | | | | (182) $false
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | CLOSE: (182) is inconsistent.
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | Case 2:
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_606_1, all_616_0,
% 169.92/26.10 | | | | | | | | | | | | | | | all_41_2, all_41_0, all_32_8, simplifying with
% 169.92/26.10 | | | | | | | | | | | | | | | (176), (177) gives:
% 169.92/26.10 | | | | | | | | | | | | | | | (183) all_616_0 = all_606_1
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_511_0, all_616_0,
% 169.92/26.10 | | | | | | | | | | | | | | | all_41_2, all_41_0, all_32_8, simplifying with
% 169.92/26.10 | | | | | | | | | | | | | | | (176), (178) gives:
% 169.92/26.10 | | | | | | | | | | | | | | | (184) all_616_0 = all_511_0
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with 0, all_616_0, all_41_2,
% 169.92/26.10 | | | | | | | | | | | | | | | all_41_0, all_32_8, simplifying with (21), (176)
% 169.92/26.10 | | | | | | | | | | | | | | | gives:
% 169.92/26.10 | | | | | | | | | | | | | | | (185) all_616_0 = 0
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with 0, all_586_1, all_123_3,
% 169.92/26.10 | | | | | | | | | | | | | | | all_41_0, all_32_8, simplifying with (42), (172)
% 169.92/26.10 | | | | | | | | | | | | | | | gives:
% 169.92/26.10 | | | | | | | | | | | | | | | (186) all_586_1 = 0
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_586_1, all_591_0,
% 169.92/26.10 | | | | | | | | | | | | | | | all_123_3, all_41_0, all_32_8, simplifying with
% 169.92/26.10 | | | | | | | | | | | | | | | (171), (172) gives:
% 169.92/26.10 | | | | | | | | | | | | | | | (187) all_591_0 = all_586_1
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_506_0, all_591_0,
% 169.92/26.10 | | | | | | | | | | | | | | | all_123_3, all_41_0, all_32_8, simplifying with
% 169.92/26.10 | | | | | | | | | | | | | | | (171), (175) gives:
% 169.92/26.10 | | | | | | | | | | | | | | | (188) all_591_0 = all_506_0
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_586_1, all_606_0,
% 169.92/26.10 | | | | | | | | | | | | | | | all_123_3, all_41_0, all_32_8, simplifying with
% 169.92/26.10 | | | | | | | | | | | | | | | (170), (172) gives:
% 169.92/26.10 | | | | | | | | | | | | | | | (189) all_606_0 = all_586_1
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_511_1, all_606_0,
% 169.92/26.10 | | | | | | | | | | | | | | | all_123_3, all_41_0, all_32_8, simplifying with
% 169.92/26.10 | | | | | | | | | | | | | | | (170), (174) gives:
% 169.92/26.10 | | | | | | | | | | | | | | | (190) all_606_0 = all_511_1
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_586_1, all_616_1,
% 169.92/26.10 | | | | | | | | | | | | | | | all_123_3, all_41_0, all_32_8, simplifying with
% 169.92/26.10 | | | | | | | | | | | | | | | (169), (172) gives:
% 169.92/26.10 | | | | | | | | | | | | | | | (191) all_616_1 = all_586_1
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_616_1, all_621_1,
% 169.92/26.10 | | | | | | | | | | | | | | | all_123_3, all_41_0, all_32_8, simplifying with
% 169.92/26.10 | | | | | | | | | | | | | | | (168), (169) gives:
% 169.92/26.10 | | | | | | | | | | | | | | | (192) all_621_1 = all_616_1
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_576_0, all_621_1,
% 169.92/26.10 | | | | | | | | | | | | | | | all_123_3, all_41_0, all_32_8, simplifying with
% 169.92/26.10 | | | | | | | | | | | | | | | (168), (173) gives:
% 169.92/26.10 | | | | | | | | | | | | | | | (193) all_621_1 = all_576_0
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | COMBINE_EQS: (192), (193) imply:
% 169.92/26.10 | | | | | | | | | | | | | | | (194) all_616_1 = all_576_0
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | SIMP: (194) implies:
% 169.92/26.10 | | | | | | | | | | | | | | | (195) all_616_1 = all_576_0
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | COMBINE_EQS: (183), (185) imply:
% 169.92/26.10 | | | | | | | | | | | | | | | (196) all_606_1 = 0
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | COMBINE_EQS: (183), (184) imply:
% 169.92/26.10 | | | | | | | | | | | | | | | (197) all_606_1 = all_511_0
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | COMBINE_EQS: (191), (195) imply:
% 169.92/26.10 | | | | | | | | | | | | | | | (198) all_586_1 = all_576_0
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | SIMP: (198) implies:
% 169.92/26.10 | | | | | | | | | | | | | | | (199) all_586_1 = all_576_0
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | COMBINE_EQS: (189), (190) imply:
% 169.92/26.10 | | | | | | | | | | | | | | | (200) all_586_1 = all_511_1
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | SIMP: (200) implies:
% 169.92/26.10 | | | | | | | | | | | | | | | (201) all_586_1 = all_511_1
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | COMBINE_EQS: (196), (197) imply:
% 169.92/26.10 | | | | | | | | | | | | | | | (202) all_511_0 = 0
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | SIMP: (202) implies:
% 169.92/26.10 | | | | | | | | | | | | | | | (203) all_511_0 = 0
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | COMBINE_EQS: (187), (188) imply:
% 169.92/26.10 | | | | | | | | | | | | | | | (204) all_586_1 = all_506_0
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | SIMP: (204) implies:
% 169.92/26.10 | | | | | | | | | | | | | | | (205) all_586_1 = all_506_0
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | COMBINE_EQS: (186), (199) imply:
% 169.92/26.10 | | | | | | | | | | | | | | | (206) all_576_0 = 0
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | COMBINE_EQS: (199), (205) imply:
% 169.92/26.10 | | | | | | | | | | | | | | | (207) all_576_0 = all_506_0
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | COMBINE_EQS: (199), (201) imply:
% 169.92/26.10 | | | | | | | | | | | | | | | (208) all_576_0 = all_511_1
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | COMBINE_EQS: (207), (208) imply:
% 169.92/26.10 | | | | | | | | | | | | | | | (209) all_511_1 = all_506_0
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | COMBINE_EQS: (206), (208) imply:
% 169.92/26.10 | | | | | | | | | | | | | | | (210) all_511_1 = 0
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | COMBINE_EQS: (209), (210) imply:
% 169.92/26.10 | | | | | | | | | | | | | | | (211) all_506_0 = 0
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | BETA: splitting (126) gives:
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | Case 1:
% 169.92/26.10 | | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | | (212) ~ (all_511_0 = 0)
% 169.92/26.10 | | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | | REDUCE: (203), (212) imply:
% 169.92/26.10 | | | | | | | | | | | | | | | | (213) $false
% 169.92/26.10 | | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | | CLOSE: (213) is inconsistent.
% 169.92/26.10 | | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | Case 2:
% 169.92/26.10 | | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | | (214) ~ (all_511_1 = 0)
% 169.92/26.10 | | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | | REDUCE: (210), (214) imply:
% 169.92/26.10 | | | | | | | | | | | | | | | | (215) $false
% 169.92/26.10 | | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | | CLOSE: (215) is inconsistent.
% 169.92/26.10 | | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | End of split
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | End of split
% 169.92/26.10 | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | Case 2:
% 169.92/26.10 | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | (216) ~ (all_119_3 = all_109_0)
% 169.92/26.10 | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | REDUCE: (44), (216) imply:
% 169.92/26.10 | | | | | | | | | | | | | | (217) ~ (all_109_0 = all_41_0)
% 169.92/26.10 | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | SIMP: (217) implies:
% 169.92/26.10 | | | | | | | | | | | | | | (218) ~ (all_109_0 = all_41_0)
% 169.92/26.10 | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | BETA: splitting (24) gives:
% 169.92/26.10 | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | Case 1:
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | (219) all_119_3 = all_109_0
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | COMBINE_EQS: (44), (219) imply:
% 169.92/26.10 | | | | | | | | | | | | | | | (220) all_109_0 = all_41_0
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | REDUCE: (218), (220) imply:
% 169.92/26.10 | | | | | | | | | | | | | | | (221) $false
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | CLOSE: (221) is inconsistent.
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | Case 2:
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | (222) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 169.92/26.10 | | | | | | | | | | | | | | | all_111_0, all_119_3) = v1 & apply(all_32_6,
% 169.92/26.10 | | | | | | | | | | | | | | | all_111_0, all_109_0) = v0 & ( ~ (v1 = 0) | ~
% 169.92/26.10 | | | | | | | | | | | | | | | (v0 = 0)))
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | DELTA: instantiating (222) with fresh symbols all_298_0,
% 169.92/26.10 | | | | | | | | | | | | | | | all_298_1 gives:
% 169.92/26.10 | | | | | | | | | | | | | | | (223) apply(all_32_6, all_111_0, all_119_3) = all_298_0
% 169.92/26.10 | | | | | | | | | | | | | | | & apply(all_32_6, all_111_0, all_109_0) =
% 169.92/26.10 | | | | | | | | | | | | | | | all_298_1 & ( ~ (all_298_0 = 0) | ~ (all_298_1 =
% 169.92/26.10 | | | | | | | | | | | | | | | 0))
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | ALPHA: (223) implies:
% 169.92/26.10 | | | | | | | | | | | | | | | (224) apply(all_32_6, all_111_0, all_119_3) = all_298_0
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | REDUCE: (44), (78), (224) imply:
% 169.92/26.10 | | | | | | | | | | | | | | | (225) apply(all_32_6, all_41_2, all_41_0) = all_298_0
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | BETA: splitting (47) gives:
% 169.92/26.10 | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | Case 1:
% 169.92/26.10 | | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | | (226) all_119_3 = all_109_0
% 169.92/26.10 | | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | | COMBINE_EQS: (44), (226) imply:
% 169.92/26.10 | | | | | | | | | | | | | | | | (227) all_109_0 = all_41_0
% 169.92/26.10 | | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | | REDUCE: (218), (227) imply:
% 169.92/26.10 | | | | | | | | | | | | | | | | (228) $false
% 169.92/26.10 | | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | | CLOSE: (228) is inconsistent.
% 169.92/26.10 | | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | Case 2:
% 169.92/26.10 | | | | | | | | | | | | | | | |
% 169.92/26.10 | | | | | | | | | | | | | | | | (229) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 169.92/26.10 | | | | | | | | | | | | | | | | all_41_2, all_119_3) = v0 & apply(all_32_6,
% 169.92/26.10 | | | | | | | | | | | | | | | | all_41_2, all_109_0) = v1 & ( ~ (v1 = 0) | ~
% 169.92/26.10 | | | | | | | | | | | | | | | | (v0 = 0)))
% 169.92/26.11 | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | DELTA: instantiating (229) with fresh symbols all_304_0,
% 169.92/26.11 | | | | | | | | | | | | | | | | all_304_1 gives:
% 169.92/26.11 | | | | | | | | | | | | | | | | (230) apply(all_32_6, all_41_2, all_119_3) = all_304_1 &
% 169.92/26.11 | | | | | | | | | | | | | | | | apply(all_32_6, all_41_2, all_109_0) = all_304_0 &
% 169.92/26.11 | | | | | | | | | | | | | | | | ( ~ (all_304_0 = 0) | ~ (all_304_1 = 0))
% 169.92/26.11 | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | ALPHA: (230) implies:
% 169.92/26.11 | | | | | | | | | | | | | | | | (231) apply(all_32_6, all_41_2, all_119_3) = all_304_1
% 169.92/26.11 | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | REDUCE: (44), (231) imply:
% 169.92/26.11 | | | | | | | | | | | | | | | | (232) apply(all_32_6, all_41_2, all_41_0) = all_304_1
% 169.92/26.11 | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | BETA: splitting (53) gives:
% 169.92/26.11 | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | Case 1:
% 169.92/26.11 | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | (233) all_119_3 = all_109_0
% 169.92/26.11 | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | COMBINE_EQS: (44), (233) imply:
% 169.92/26.11 | | | | | | | | | | | | | | | | | (234) all_109_0 = all_41_0
% 169.92/26.11 | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | REDUCE: (218), (234) imply:
% 169.92/26.11 | | | | | | | | | | | | | | | | | (235) $false
% 169.92/26.11 | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | CLOSE: (235) is inconsistent.
% 169.92/26.11 | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | Case 2:
% 169.92/26.11 | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | (236) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 169.92/26.11 | | | | | | | | | | | | | | | | | all_41_2, all_119_3) = v1 & apply(all_32_6,
% 169.92/26.11 | | | | | | | | | | | | | | | | | all_41_2, all_109_0) = v0 & ( ~ (v1 = 0) | ~
% 169.92/26.11 | | | | | | | | | | | | | | | | | (v0 = 0)))
% 169.92/26.11 | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | DELTA: instantiating (236) with fresh symbols all_386_0,
% 169.92/26.11 | | | | | | | | | | | | | | | | | all_386_1 gives:
% 169.92/26.11 | | | | | | | | | | | | | | | | | (237) apply(all_32_6, all_41_2, all_119_3) = all_386_0 &
% 169.92/26.11 | | | | | | | | | | | | | | | | | apply(all_32_6, all_41_2, all_109_0) = all_386_1 &
% 169.92/26.11 | | | | | | | | | | | | | | | | | ( ~ (all_386_0 = 0) | ~ (all_386_1 = 0))
% 169.92/26.11 | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | ALPHA: (237) implies:
% 169.92/26.11 | | | | | | | | | | | | | | | | | (238) apply(all_32_6, all_41_2, all_119_3) = all_386_0
% 169.92/26.11 | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | REDUCE: (44), (238) imply:
% 169.92/26.11 | | | | | | | | | | | | | | | | | (239) apply(all_32_6, all_41_2, all_41_0) = all_386_0
% 169.92/26.11 | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | BETA: splitting (39) gives:
% 169.92/26.11 | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | Case 1:
% 169.92/26.11 | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | (240) all_119_3 = all_109_0
% 169.92/26.11 | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (44), (240) imply:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | (241) all_109_0 = all_41_0
% 169.92/26.11 | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | REDUCE: (218), (241) imply:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | (242) $false
% 169.92/26.11 | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | CLOSE: (242) is inconsistent.
% 169.92/26.11 | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | Case 2:
% 169.92/26.11 | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | (243) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 169.92/26.11 | | | | | | | | | | | | | | | | | | all_111_0, all_119_3) = v0 & apply(all_32_6,
% 169.92/26.11 | | | | | | | | | | | | | | | | | | all_111_0, all_109_0) = v1 & ( ~ (v1 = 0) | ~
% 169.92/26.11 | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 169.92/26.11 | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | DELTA: instantiating (243) with fresh symbols all_427_0,
% 169.92/26.11 | | | | | | | | | | | | | | | | | | all_427_1 gives:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | (244) apply(all_32_6, all_111_0, all_119_3) = all_427_1
% 169.92/26.11 | | | | | | | | | | | | | | | | | | & apply(all_32_6, all_111_0, all_109_0) =
% 169.92/26.11 | | | | | | | | | | | | | | | | | | all_427_0 & ( ~ (all_427_0 = 0) | ~ (all_427_1 =
% 169.92/26.11 | | | | | | | | | | | | | | | | | | 0))
% 169.92/26.11 | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | ALPHA: (244) implies:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | (245) apply(all_32_6, all_111_0, all_109_0) = all_427_0
% 169.92/26.11 | | | | | | | | | | | | | | | | | | (246) apply(all_32_6, all_111_0, all_119_3) = all_427_1
% 169.92/26.11 | | | | | | | | | | | | | | | | | | (247) ~ (all_427_0 = 0) | ~ (all_427_1 = 0)
% 169.92/26.11 | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | REDUCE: (44), (78), (246) imply:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | (248) apply(all_32_6, all_41_2, all_41_0) = all_427_1
% 169.92/26.11 | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | REDUCE: (78), (245) imply:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | (249) apply(all_32_6, all_41_2, all_109_0) = all_427_0
% 169.92/26.11 | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 169.92/26.11 | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | Case 1:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | (250) all_119_3 = all_109_0
% 169.92/26.11 | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (44), (250) imply:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | (251) all_109_0 = all_41_0
% 169.92/26.11 | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | REDUCE: (218), (251) imply:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | (252) $false
% 169.92/26.11 | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | CLOSE: (252) is inconsistent.
% 169.92/26.11 | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | Case 2:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | (253) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | all_51_0, all_119_3) = v0 & apply(all_32_6,
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | all_51_0, all_109_0) = v1 & ( ~ (v1 = 0) | ~
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 169.92/26.11 | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (253) with fresh symbols all_596_0,
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | all_596_1 gives:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | (254) apply(all_32_6, all_51_0, all_119_3) = all_596_1 &
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | apply(all_32_6, all_51_0, all_109_0) = all_596_0 &
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | ( ~ (all_596_0 = 0) | ~ (all_596_1 = 0))
% 169.92/26.11 | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | ALPHA: (254) implies:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | (255) apply(all_32_6, all_51_0, all_109_0) = all_596_0
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | (256) apply(all_32_6, all_51_0, all_119_3) = all_596_1
% 169.92/26.11 | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | REDUCE: (44), (80), (256) imply:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | (257) apply(all_32_6, all_41_2, all_41_0) = all_596_1
% 169.92/26.11 | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | REDUCE: (80), (255) imply:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | (258) apply(all_32_6, all_41_2, all_109_0) = all_596_0
% 169.92/26.11 | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | BETA: splitting (20) gives:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | Case 1:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (259) all_119_3 = all_109_0
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (44), (259) imply:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (260) all_109_0 = all_41_0
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | REDUCE: (218), (260) imply:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (261) $false
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | CLOSE: (261) is inconsistent.
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | Case 2:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (262) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | all_51_0, all_119_3) = v1 & apply(all_32_6,
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | all_51_0, all_109_0) = v0 & ( ~ (v1 = 0) | ~
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (262) with fresh symbols all_620_0,
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | all_620_1 gives:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (263) apply(all_32_6, all_51_0, all_119_3) = all_620_0 &
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | apply(all_32_6, all_51_0, all_109_0) = all_620_1 &
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | ( ~ (all_620_0 = 0) | ~ (all_620_1 = 0))
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | ALPHA: (263) implies:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (264) apply(all_32_6, all_51_0, all_119_3) = all_620_0
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (80), (264) imply:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (265) apply(all_32_6, all_41_2, all_41_0) = all_620_0
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_298_0, all_386_0,
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (225), (239) gives:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (266) all_386_0 = all_298_0
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_386_0, all_427_1,
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (239), (248) gives:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (267) all_427_1 = all_386_0
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_154_1, all_427_1,
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (82), (248) gives:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (268) all_427_1 = all_154_1
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with 0, all_596_1, all_41_0,
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | all_41_2, all_32_6, simplifying with (19), (257)
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | gives:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (269) all_596_1 = 0
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_298_0, all_596_1,
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (225), (257) gives:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (270) all_596_1 = all_298_0
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_386_0, all_620_0,
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (239), (265) gives:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (271) all_620_0 = all_386_0
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_304_1, all_620_0,
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (232), (265) gives:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (272) all_620_0 = all_304_1
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_427_0, all_596_0,
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | all_109_0, all_41_2, all_32_6, simplifying with
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (249), (258) gives:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (273) all_596_0 = all_427_0
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with 0, all_596_0, all_109_0,
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | all_41_2, all_32_6, simplifying with (81), (258)
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | gives:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (274) all_596_0 = 0
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (272) imply:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (275) all_386_0 = all_304_1
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | SIMP: (275) implies:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (276) all_386_0 = all_304_1
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (274) imply:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (277) all_427_0 = 0
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | SIMP: (277) implies:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (278) all_427_0 = 0
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (270) imply:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (279) all_298_0 = 0
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | SIMP: (279) implies:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (280) all_298_0 = 0
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (268) imply:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (281) all_386_0 = all_154_1
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | SIMP: (281) implies:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (282) all_386_0 = all_154_1
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (276) imply:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (283) all_304_1 = all_298_0
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (282) imply:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (284) all_304_1 = all_154_1
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (284) imply:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (285) all_298_0 = all_154_1
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | SIMP: (285) implies:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (286) all_298_0 = all_154_1
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (286) imply:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (287) all_154_1 = 0
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | SIMP: (287) implies:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (288) all_154_1 = 0
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (288) imply:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | (289) all_427_1 = 0
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | | (290) ~ (all_427_0 = 0)
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | | REDUCE: (278), (290) imply:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | | (291) $false
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | | CLOSE: (291) is inconsistent.
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | | (292) ~ (all_427_1 = 0)
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | | REDUCE: (289), (292) imply:
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | | (293) $false
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | | CLOSE: (293) is inconsistent.
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | | End of split
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | | End of split
% 169.92/26.11 | | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | | End of split
% 169.92/26.11 | | | | | | | | | | | | | | | | | |
% 169.92/26.11 | | | | | | | | | | | | | | | | | End of split
% 169.92/26.11 | | | | | | | | | | | | | | | | |
% 169.92/26.12 | | | | | | | | | | | | | | | | End of split
% 169.92/26.12 | | | | | | | | | | | | | | | |
% 169.92/26.12 | | | | | | | | | | | | | | | End of split
% 169.92/26.12 | | | | | | | | | | | | | | |
% 169.92/26.12 | | | | | | | | | | | | | | End of split
% 169.92/26.12 | | | | | | | | | | | | | |
% 169.92/26.12 | | | | | | | | | | | | | End of split
% 169.92/26.12 | | | | | | | | | | | | |
% 169.92/26.12 | | | | | | | | | | | | End of split
% 169.92/26.12 | | | | | | | | | | | |
% 169.92/26.12 | | | | | | | | | | | End of split
% 169.92/26.12 | | | | | | | | | | |
% 169.92/26.12 | | | | | | | | | | End of split
% 169.92/26.12 | | | | | | | | | |
% 169.92/26.12 | | | | | | | | | End of split
% 169.92/26.12 | | | | | | | | |
% 169.92/26.12 | | | | | | | | End of split
% 169.92/26.12 | | | | | | | |
% 169.92/26.12 | | | | | | | End of split
% 169.92/26.12 | | | | | | |
% 169.92/26.12 | | | | | | End of split
% 169.92/26.12 | | | | | |
% 169.92/26.12 | | | | | End of split
% 169.92/26.12 | | | | |
% 169.92/26.12 | | | | End of split
% 169.92/26.12 | | | |
% 169.92/26.12 | | | Case 2:
% 169.92/26.12 | | | |
% 169.92/26.12 | | | | (294) ? [v0: any] : ? [v1: any] : (apply(all_32_8, all_41_1,
% 169.92/26.12 | | | | all_121_3) = v0 & apply(all_32_8, all_41_1, all_111_0) = v1
% 169.92/26.12 | | | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.12 | | | |
% 169.92/26.12 | | | | DELTA: instantiating (294) with fresh symbols all_268_0, all_268_1
% 169.92/26.12 | | | | gives:
% 169.92/26.12 | | | | (295) apply(all_32_8, all_41_1, all_121_3) = all_268_1 &
% 169.92/26.12 | | | | apply(all_32_8, all_41_1, all_111_0) = all_268_0 & ( ~
% 169.92/26.12 | | | | (all_268_0 = 0) | ~ (all_268_1 = 0))
% 169.92/26.12 | | | |
% 169.92/26.12 | | | | ALPHA: (295) implies:
% 169.92/26.12 | | | | (296) apply(all_32_8, all_41_1, all_111_0) = all_268_0
% 169.92/26.12 | | | | (297) apply(all_32_8, all_41_1, all_121_3) = all_268_1
% 169.92/26.12 | | | | (298) ~ (all_268_0 = 0) | ~ (all_268_1 = 0)
% 169.92/26.12 | | | |
% 169.92/26.12 | | | | REDUCE: (78), (296) imply:
% 169.92/26.12 | | | | (299) apply(all_32_8, all_41_1, all_41_2) = all_268_0
% 169.92/26.12 | | | |
% 169.92/26.12 | | | | BETA: splitting (60) gives:
% 169.92/26.12 | | | |
% 169.92/26.12 | | | | Case 1:
% 169.92/26.12 | | | | |
% 169.92/26.12 | | | | | (300) all_41_0 = all_41_1
% 169.92/26.12 | | | | |
% 169.92/26.12 | | | | | REDUCE: (6), (300) imply:
% 169.92/26.12 | | | | | (301) $false
% 169.92/26.12 | | | | |
% 169.92/26.12 | | | | | CLOSE: (301) is inconsistent.
% 169.92/26.12 | | | | |
% 169.92/26.12 | | | | Case 2:
% 169.92/26.12 | | | | |
% 169.92/26.12 | | | | |
% 169.92/26.12 | | | | | GROUND_INST: instantiating (57) with 0, all_268_0, all_41_2, all_41_1,
% 169.92/26.12 | | | | | all_32_8, simplifying with (17), (299) gives:
% 169.92/26.12 | | | | | (302) all_268_0 = 0
% 169.92/26.12 | | | | |
% 169.92/26.12 | | | | | GROUND_INST: instantiating (57) with 0, all_268_1, all_121_3,
% 169.92/26.12 | | | | | all_41_1, all_32_8, simplifying with (8), (297) gives:
% 169.92/26.12 | | | | | (303) all_268_1 = 0
% 169.92/26.12 | | | | |
% 169.92/26.12 | | | | | BETA: splitting (298) gives:
% 169.92/26.12 | | | | |
% 169.92/26.12 | | | | | Case 1:
% 169.92/26.12 | | | | | |
% 169.92/26.12 | | | | | | (304) ~ (all_268_0 = 0)
% 169.92/26.12 | | | | | |
% 169.92/26.12 | | | | | | REDUCE: (302), (304) imply:
% 169.92/26.12 | | | | | | (305) $false
% 169.92/26.12 | | | | | |
% 169.92/26.12 | | | | | | CLOSE: (305) is inconsistent.
% 169.92/26.12 | | | | | |
% 169.92/26.12 | | | | | Case 2:
% 169.92/26.12 | | | | | |
% 169.92/26.12 | | | | | | (306) ~ (all_268_1 = 0)
% 169.92/26.12 | | | | | |
% 169.92/26.12 | | | | | | REDUCE: (303), (306) imply:
% 169.92/26.12 | | | | | | (307) $false
% 169.92/26.12 | | | | | |
% 169.92/26.12 | | | | | | CLOSE: (307) is inconsistent.
% 169.92/26.12 | | | | | |
% 169.92/26.12 | | | | | End of split
% 169.92/26.12 | | | | |
% 169.92/26.12 | | | | End of split
% 169.92/26.12 | | | |
% 169.92/26.12 | | | End of split
% 169.92/26.12 | | |
% 169.92/26.12 | | Case 2:
% 169.92/26.12 | | |
% 169.92/26.12 | | | (308) ~ (all_111_0 = all_41_2)
% 169.92/26.12 | | | (309) ? [v0: any] : ? [v1: any] : (apply(all_32_8, all_117_0,
% 169.92/26.12 | | | all_111_0) = v1 & apply(all_32_8, all_117_0, all_41_2) = v0 &
% 169.92/26.12 | | | ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.12 | | |
% 169.92/26.12 | | | DELTA: instantiating (309) with fresh symbols all_256_0, all_256_1 gives:
% 169.92/26.12 | | | (310) apply(all_32_8, all_117_0, all_111_0) = all_256_0 &
% 169.92/26.12 | | | apply(all_32_8, all_117_0, all_41_2) = all_256_1 & ( ~ (all_256_0
% 169.92/26.12 | | | = 0) | ~ (all_256_1 = 0))
% 169.92/26.12 | | |
% 169.92/26.12 | | | ALPHA: (310) implies:
% 169.92/26.12 | | | (311) apply(all_32_8, all_117_0, all_41_2) = all_256_1
% 169.92/26.12 | | |
% 169.92/26.12 | | | REDUCE: (34), (308) imply:
% 169.92/26.12 | | | (312) ~ (all_51_0 = all_41_2)
% 169.92/26.12 | | |
% 169.92/26.12 | | | REDUCE: (15), (311) imply:
% 169.92/26.12 | | | (313) apply(all_32_8, all_41_0, all_41_2) = all_256_1
% 169.92/26.12 | | |
% 169.92/26.12 | | | BETA: splitting (10) gives:
% 169.92/26.12 | | |
% 169.92/26.12 | | | Case 1:
% 169.92/26.12 | | | |
% 169.92/26.12 | | | | (314) all_51_0 = all_49_0
% 169.92/26.12 | | | |
% 169.92/26.12 | | | | COMBINE_EQS: (50), (314) imply:
% 169.92/26.12 | | | | (315) all_51_0 = all_41_2
% 169.92/26.12 | | | |
% 169.92/26.12 | | | | REDUCE: (312), (315) imply:
% 169.92/26.12 | | | | (316) $false
% 169.92/26.12 | | | |
% 169.92/26.12 | | | | CLOSE: (316) is inconsistent.
% 169.92/26.12 | | | |
% 169.92/26.12 | | | Case 2:
% 169.92/26.12 | | | |
% 169.92/26.12 | | | | (317) ~ (all_51_0 = all_49_0)
% 169.92/26.12 | | | | (318) ? [v0: any] : ? [v1: any] : (apply(all_32_8, all_41_0,
% 169.92/26.12 | | | | all_51_0) = v0 & apply(all_32_8, all_41_0, all_49_0) = v1 &
% 169.92/26.12 | | | | ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.12 | | | |
% 169.92/26.12 | | | | DELTA: instantiating (318) with fresh symbols all_393_0, all_393_1
% 169.92/26.12 | | | | gives:
% 169.92/26.12 | | | | (319) apply(all_32_8, all_41_0, all_51_0) = all_393_1 &
% 169.92/26.12 | | | | apply(all_32_8, all_41_0, all_49_0) = all_393_0 & ( ~
% 169.92/26.12 | | | | (all_393_0 = 0) | ~ (all_393_1 = 0))
% 169.92/26.12 | | | |
% 169.92/26.12 | | | | ALPHA: (319) implies:
% 169.92/26.12 | | | | (320) apply(all_32_8, all_41_0, all_49_0) = all_393_0
% 169.92/26.12 | | | | (321) apply(all_32_8, all_41_0, all_51_0) = all_393_1
% 169.92/26.12 | | | |
% 169.92/26.12 | | | | REDUCE: (50), (320) imply:
% 169.92/26.12 | | | | (322) apply(all_32_8, all_41_0, all_41_2) = all_393_0
% 169.92/26.12 | | | |
% 169.92/26.12 | | | | BETA: splitting (54) gives:
% 169.92/26.12 | | | |
% 169.92/26.12 | | | | Case 1:
% 169.92/26.12 | | | | |
% 169.92/26.12 | | | | | (323) all_51_0 = all_49_0
% 169.92/26.12 | | | | |
% 169.92/26.12 | | | | | COMBINE_EQS: (50), (323) imply:
% 169.92/26.12 | | | | | (324) all_51_0 = all_41_2
% 169.92/26.12 | | | | |
% 169.92/26.12 | | | | | REDUCE: (312), (324) imply:
% 169.92/26.12 | | | | | (325) $false
% 169.92/26.12 | | | | |
% 169.92/26.12 | | | | | CLOSE: (325) is inconsistent.
% 169.92/26.12 | | | | |
% 169.92/26.12 | | | | Case 2:
% 169.92/26.12 | | | | |
% 169.92/26.12 | | | | | (326) ? [v0: any] : ? [v1: any] : (apply(all_32_8, all_41_0,
% 169.92/26.12 | | | | | all_51_0) = v1 & apply(all_32_8, all_41_0, all_49_0) = v0
% 169.92/26.12 | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.12 | | | | |
% 169.92/26.12 | | | | | DELTA: instantiating (326) with fresh symbols all_399_0, all_399_1
% 169.92/26.12 | | | | | gives:
% 169.92/26.12 | | | | | (327) apply(all_32_8, all_41_0, all_51_0) = all_399_0 &
% 169.92/26.12 | | | | | apply(all_32_8, all_41_0, all_49_0) = all_399_1 & ( ~
% 169.92/26.12 | | | | | (all_399_0 = 0) | ~ (all_399_1 = 0))
% 169.92/26.12 | | | | |
% 169.92/26.12 | | | | | ALPHA: (327) implies:
% 169.92/26.12 | | | | | (328) apply(all_32_8, all_41_0, all_49_0) = all_399_1
% 169.92/26.12 | | | | | (329) apply(all_32_8, all_41_0, all_51_0) = all_399_0
% 169.92/26.12 | | | | |
% 169.92/26.12 | | | | | REDUCE: (50), (328) imply:
% 169.92/26.12 | | | | | (330) apply(all_32_8, all_41_0, all_41_2) = all_399_1
% 169.92/26.12 | | | | |
% 169.92/26.12 | | | | | BETA: splitting (14) gives:
% 169.92/26.12 | | | | |
% 169.92/26.12 | | | | | Case 1:
% 169.92/26.12 | | | | | |
% 169.92/26.12 | | | | | | (331) all_121_3 = all_41_2
% 169.92/26.12 | | | | | |
% 169.92/26.12 | | | | | | REF_CLOSE: (1), (2), (5), (7), (10), (11), (13), (15), (16), (21),
% 169.92/26.12 | | | | | | (22), (25), (27), (32), (33), (34), (36), (37), (38),
% 169.92/26.12 | | | | | | (40), (42), (43), (44), (46), (48), (50), (52), (54),
% 169.92/26.12 | | | | | | (55), (56), (57), (66), (68), (69), (312), (331) are
% 169.92/26.12 | | | | | | inconsistent by sub-proof #3.
% 169.92/26.12 | | | | | |
% 169.92/26.12 | | | | | Case 2:
% 169.92/26.12 | | | | | |
% 169.92/26.12 | | | | | | (332) ? [v0: any] : ? [v1: any] : (apply(all_32_8, all_117_0,
% 169.92/26.12 | | | | | | all_121_3) = v0 & apply(all_32_8, all_117_0, all_41_2)
% 169.92/26.12 | | | | | | = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.12 | | | | | |
% 169.92/26.12 | | | | | | DELTA: instantiating (332) with fresh symbols all_416_0, all_416_1
% 169.92/26.12 | | | | | | gives:
% 169.92/26.12 | | | | | | (333) apply(all_32_8, all_117_0, all_121_3) = all_416_1 &
% 169.92/26.12 | | | | | | apply(all_32_8, all_117_0, all_41_2) = all_416_0 & ( ~
% 169.92/26.12 | | | | | | (all_416_0 = 0) | ~ (all_416_1 = 0))
% 169.92/26.12 | | | | | |
% 169.92/26.12 | | | | | | ALPHA: (333) implies:
% 169.92/26.12 | | | | | | (334) apply(all_32_8, all_117_0, all_41_2) = all_416_0
% 169.92/26.12 | | | | | |
% 169.92/26.12 | | | | | | REDUCE: (15), (334) imply:
% 169.92/26.12 | | | | | | (335) apply(all_32_8, all_41_0, all_41_2) = all_416_0
% 169.92/26.12 | | | | | |
% 169.92/26.12 | | | | | | BETA: splitting (67) gives:
% 169.92/26.12 | | | | | |
% 169.92/26.12 | | | | | | Case 1:
% 169.92/26.12 | | | | | | |
% 169.92/26.12 | | | | | | | (336) all_121_3 = all_41_2
% 169.92/26.12 | | | | | | |
% 169.92/26.12 | | | | | | | REF_CLOSE: (1), (2), (5), (7), (10), (11), (13), (15), (16), (21),
% 169.92/26.12 | | | | | | | (22), (25), (27), (32), (33), (34), (36), (37), (38),
% 169.92/26.12 | | | | | | | (40), (42), (43), (44), (46), (48), (50), (52), (54),
% 169.92/26.12 | | | | | | | (55), (56), (57), (66), (68), (69), (312), (336) are
% 169.92/26.12 | | | | | | | inconsistent by sub-proof #3.
% 169.92/26.12 | | | | | | |
% 169.92/26.12 | | | | | | Case 2:
% 169.92/26.12 | | | | | | |
% 169.92/26.12 | | | | | | | (337) ? [v0: any] : ? [v1: any] : (apply(all_32_8, all_117_0,
% 169.92/26.12 | | | | | | | all_121_3) = v1 & apply(all_32_8, all_117_0,
% 169.92/26.12 | | | | | | | all_41_2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.12 | | | | | | |
% 169.92/26.12 | | | | | | | DELTA: instantiating (337) with fresh symbols all_421_0, all_421_1
% 169.92/26.12 | | | | | | | gives:
% 169.92/26.12 | | | | | | | (338) apply(all_32_8, all_117_0, all_121_3) = all_421_0 &
% 169.92/26.12 | | | | | | | apply(all_32_8, all_117_0, all_41_2) = all_421_1 & ( ~
% 169.92/26.12 | | | | | | | (all_421_0 = 0) | ~ (all_421_1 = 0))
% 169.92/26.12 | | | | | | |
% 169.92/26.12 | | | | | | | ALPHA: (338) implies:
% 169.92/26.12 | | | | | | | (339) apply(all_32_8, all_117_0, all_41_2) = all_421_1
% 169.92/26.12 | | | | | | |
% 169.92/26.12 | | | | | | | REDUCE: (15), (339) imply:
% 169.92/26.12 | | | | | | | (340) apply(all_32_8, all_41_0, all_41_2) = all_421_1
% 169.92/26.12 | | | | | | |
% 169.92/26.12 | | | | | | | BETA: splitting (45) gives:
% 169.92/26.12 | | | | | | |
% 169.92/26.12 | | | | | | | Case 1:
% 169.92/26.12 | | | | | | | |
% 169.92/26.12 | | | | | | | | (341) all_121_3 = all_41_2
% 169.92/26.12 | | | | | | | |
% 169.92/26.12 | | | | | | | | REF_CLOSE: (1), (2), (5), (7), (10), (11), (13), (15), (16),
% 169.92/26.12 | | | | | | | | (21), (22), (25), (27), (32), (33), (34), (36), (37),
% 169.92/26.12 | | | | | | | | (38), (40), (42), (43), (44), (46), (48), (50), (52),
% 169.92/26.12 | | | | | | | | (54), (55), (56), (57), (66), (68), (69), (312),
% 169.92/26.12 | | | | | | | | (341) are inconsistent by sub-proof #3.
% 169.92/26.12 | | | | | | | |
% 169.92/26.12 | | | | | | | Case 2:
% 169.92/26.12 | | | | | | | |
% 169.92/26.12 | | | | | | | | (342) ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.12 | | | | | | | | all_119_3, all_121_3) = v0 & apply(all_32_8,
% 169.92/26.12 | | | | | | | | all_119_3, all_41_2) = v1 & ( ~ (v1 = 0) | ~ (v0 =
% 169.92/26.12 | | | | | | | | 0)))
% 169.92/26.12 | | | | | | | |
% 169.92/26.12 | | | | | | | | DELTA: instantiating (342) with fresh symbols all_451_0,
% 169.92/26.12 | | | | | | | | all_451_1 gives:
% 169.92/26.12 | | | | | | | | (343) apply(all_32_8, all_119_3, all_121_3) = all_451_1 &
% 169.92/26.12 | | | | | | | | apply(all_32_8, all_119_3, all_41_2) = all_451_0 & ( ~
% 169.92/26.12 | | | | | | | | (all_451_0 = 0) | ~ (all_451_1 = 0))
% 169.92/26.12 | | | | | | | |
% 169.92/26.12 | | | | | | | | ALPHA: (343) implies:
% 169.92/26.12 | | | | | | | | (344) apply(all_32_8, all_119_3, all_41_2) = all_451_0
% 169.92/26.12 | | | | | | | |
% 169.92/26.12 | | | | | | | | REDUCE: (44), (344) imply:
% 169.92/26.12 | | | | | | | | (345) apply(all_32_8, all_41_0, all_41_2) = all_451_0
% 169.92/26.12 | | | | | | | |
% 169.92/26.12 | | | | | | | | BETA: splitting (36) gives:
% 169.92/26.12 | | | | | | | |
% 169.92/26.12 | | | | | | | | Case 1:
% 169.92/26.12 | | | | | | | | |
% 169.92/26.12 | | | | | | | | | (346) all_51_0 = all_49_0
% 169.92/26.12 | | | | | | | | |
% 169.92/26.12 | | | | | | | | | COMBINE_EQS: (50), (346) imply:
% 169.92/26.12 | | | | | | | | | (347) all_51_0 = all_41_2
% 169.92/26.12 | | | | | | | | |
% 169.92/26.13 | | | | | | | | | REDUCE: (312), (347) imply:
% 169.92/26.13 | | | | | | | | | (348) $false
% 169.92/26.13 | | | | | | | | |
% 169.92/26.13 | | | | | | | | | CLOSE: (348) is inconsistent.
% 169.92/26.13 | | | | | | | | |
% 169.92/26.13 | | | | | | | | Case 2:
% 169.92/26.13 | | | | | | | | |
% 169.92/26.13 | | | | | | | | | (349) ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.13 | | | | | | | | | all_55_0, all_51_0) = v1 & apply(all_32_8,
% 169.92/26.13 | | | | | | | | | all_55_0, all_49_0) = v0 & ( ~ (v1 = 0) | ~ (v0
% 169.92/26.13 | | | | | | | | | = 0)))
% 169.92/26.13 | | | | | | | | |
% 169.92/26.13 | | | | | | | | | DELTA: instantiating (349) with fresh symbols all_512_0,
% 169.92/26.13 | | | | | | | | | all_512_1 gives:
% 169.92/26.13 | | | | | | | | | (350) apply(all_32_8, all_55_0, all_51_0) = all_512_0 &
% 169.92/26.13 | | | | | | | | | apply(all_32_8, all_55_0, all_49_0) = all_512_1 & ( ~
% 169.92/26.13 | | | | | | | | | (all_512_0 = 0) | ~ (all_512_1 = 0))
% 169.92/26.13 | | | | | | | | |
% 169.92/26.13 | | | | | | | | | ALPHA: (350) implies:
% 169.92/26.13 | | | | | | | | | (351) apply(all_32_8, all_55_0, all_49_0) = all_512_1
% 169.92/26.13 | | | | | | | | | (352) apply(all_32_8, all_55_0, all_51_0) = all_512_0
% 169.92/26.13 | | | | | | | | | (353) ~ (all_512_0 = 0) | ~ (all_512_1 = 0)
% 169.92/26.13 | | | | | | | | |
% 169.92/26.13 | | | | | | | | | REDUCE: (46), (352) imply:
% 169.92/26.13 | | | | | | | | | (354) apply(all_32_8, all_41_0, all_51_0) = all_512_0
% 169.92/26.13 | | | | | | | | |
% 169.92/26.13 | | | | | | | | | REDUCE: (46), (50), (351) imply:
% 169.92/26.13 | | | | | | | | | (355) apply(all_32_8, all_41_0, all_41_2) = all_512_1
% 169.92/26.13 | | | | | | | | |
% 169.92/26.13 | | | | | | | | | BETA: splitting (55) gives:
% 169.92/26.13 | | | | | | | | |
% 169.92/26.13 | | | | | | | | | Case 1:
% 169.92/26.13 | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | (356) all_51_0 = all_49_0
% 169.92/26.13 | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | COMBINE_EQS: (50), (356) imply:
% 169.92/26.13 | | | | | | | | | | (357) all_51_0 = all_41_2
% 169.92/26.13 | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | REDUCE: (312), (357) imply:
% 169.92/26.13 | | | | | | | | | | (358) $false
% 169.92/26.13 | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | CLOSE: (358) is inconsistent.
% 169.92/26.13 | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | Case 2:
% 169.92/26.13 | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | (359) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 169.92/26.13 | | | | | | | | | | (apply(all_32_8, all_41_0, all_49_0) = v2 &
% 169.92/26.13 | | | | | | | | | | member(all_51_0, all_32_4) = v1 &
% 169.92/26.13 | | | | | | | | | | member(all_41_0, all_32_5) = v0 & ( ~ (v2 = 0) |
% 169.92/26.13 | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.13 | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | DELTA: instantiating (359) with fresh symbols all_544_0,
% 169.92/26.13 | | | | | | | | | | all_544_1, all_544_2 gives:
% 169.92/26.13 | | | | | | | | | | (360) apply(all_32_8, all_41_0, all_49_0) = all_544_0 &
% 169.92/26.13 | | | | | | | | | | member(all_51_0, all_32_4) = all_544_1 &
% 169.92/26.13 | | | | | | | | | | member(all_41_0, all_32_5) = all_544_2 & ( ~
% 169.92/26.13 | | | | | | | | | | (all_544_0 = 0) | ~ (all_544_1 = 0) | ~
% 169.92/26.13 | | | | | | | | | | (all_544_2 = 0))
% 169.92/26.13 | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | ALPHA: (360) implies:
% 169.92/26.13 | | | | | | | | | | (361) apply(all_32_8, all_41_0, all_49_0) = all_544_0
% 169.92/26.13 | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | REDUCE: (50), (361) imply:
% 169.92/26.13 | | | | | | | | | | (362) apply(all_32_8, all_41_0, all_41_2) = all_544_0
% 169.92/26.13 | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | BETA: splitting (38) gives:
% 169.92/26.13 | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | Case 1:
% 169.92/26.13 | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | (363) all_51_0 = all_41_2
% 169.92/26.13 | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | REDUCE: (312), (363) imply:
% 169.92/26.13 | | | | | | | | | | | (364) $false
% 169.92/26.13 | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | CLOSE: (364) is inconsistent.
% 169.92/26.13 | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | Case 2:
% 169.92/26.13 | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | (365) ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.13 | | | | | | | | | | | all_55_0, all_51_0) = v1 & apply(all_32_8,
% 169.92/26.13 | | | | | | | | | | | all_55_0, all_41_2) = v0 & ( ~ (v1 = 0) | ~
% 169.92/26.13 | | | | | | | | | | | (v0 = 0)))
% 169.92/26.13 | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | DELTA: instantiating (365) with fresh symbols all_626_0,
% 169.92/26.13 | | | | | | | | | | | all_626_1 gives:
% 169.92/26.13 | | | | | | | | | | | (366) apply(all_32_8, all_55_0, all_51_0) = all_626_0 &
% 169.92/26.13 | | | | | | | | | | | apply(all_32_8, all_55_0, all_41_2) = all_626_1 &
% 169.92/26.13 | | | | | | | | | | | ( ~ (all_626_0 = 0) | ~ (all_626_1 = 0))
% 169.92/26.13 | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | ALPHA: (366) implies:
% 169.92/26.13 | | | | | | | | | | | (367) apply(all_32_8, all_55_0, all_41_2) = all_626_1
% 169.92/26.13 | | | | | | | | | | | (368) apply(all_32_8, all_55_0, all_51_0) = all_626_0
% 169.92/26.13 | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | REDUCE: (46), (368) imply:
% 169.92/26.13 | | | | | | | | | | | (369) apply(all_32_8, all_41_0, all_51_0) = all_626_0
% 169.92/26.13 | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | REDUCE: (46), (367) imply:
% 169.92/26.13 | | | | | | | | | | | (370) apply(all_32_8, all_41_0, all_41_2) = all_626_1
% 169.92/26.13 | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | BETA: splitting (66) gives:
% 169.92/26.13 | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | Case 1:
% 169.92/26.13 | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | (371) all_51_0 = all_41_2
% 169.92/26.13 | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | REDUCE: (312), (371) imply:
% 169.92/26.13 | | | | | | | | | | | | (372) $false
% 169.92/26.13 | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | CLOSE: (372) is inconsistent.
% 169.92/26.13 | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | Case 2:
% 169.92/26.13 | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | (373) ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.13 | | | | | | | | | | | | all_41_0, all_51_0) = v1 & apply(all_32_8,
% 169.92/26.13 | | | | | | | | | | | | all_41_0, all_41_2) = v0 & ( ~ (v1 = 0) | ~
% 169.92/26.13 | | | | | | | | | | | | (v0 = 0)))
% 169.92/26.13 | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | DELTA: instantiating (373) with fresh symbols all_632_0,
% 169.92/26.13 | | | | | | | | | | | | all_632_1 gives:
% 169.92/26.13 | | | | | | | | | | | | (374) apply(all_32_8, all_41_0, all_51_0) = all_632_0 &
% 169.92/26.13 | | | | | | | | | | | | apply(all_32_8, all_41_0, all_41_2) = all_632_1 &
% 169.92/26.13 | | | | | | | | | | | | ( ~ (all_632_0 = 0) | ~ (all_632_1 = 0))
% 169.92/26.13 | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | ALPHA: (374) implies:
% 169.92/26.13 | | | | | | | | | | | | (375) apply(all_32_8, all_41_0, all_41_2) = all_632_1
% 169.92/26.13 | | | | | | | | | | | | (376) apply(all_32_8, all_41_0, all_51_0) = all_632_0
% 169.92/26.13 | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | BETA: splitting (13) gives:
% 169.92/26.13 | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | Case 1:
% 169.92/26.13 | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | (377) all_51_0 = all_41_2
% 169.92/26.13 | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | REDUCE: (312), (377) imply:
% 169.92/26.13 | | | | | | | | | | | | | (378) $false
% 169.92/26.13 | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | CLOSE: (378) is inconsistent.
% 169.92/26.13 | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | Case 2:
% 169.92/26.13 | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | (379) ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.13 | | | | | | | | | | | | | all_55_0, all_51_0) = v0 & apply(all_32_8,
% 169.92/26.13 | | | | | | | | | | | | | all_55_0, all_41_2) = v1 & ( ~ (v1 = 0) | ~
% 169.92/26.13 | | | | | | | | | | | | | (v0 = 0)))
% 169.92/26.13 | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | DELTA: instantiating (379) with fresh symbols all_638_0,
% 169.92/26.13 | | | | | | | | | | | | | all_638_1 gives:
% 169.92/26.13 | | | | | | | | | | | | | (380) apply(all_32_8, all_55_0, all_51_0) = all_638_1 &
% 169.92/26.13 | | | | | | | | | | | | | apply(all_32_8, all_55_0, all_41_2) = all_638_0 &
% 169.92/26.13 | | | | | | | | | | | | | ( ~ (all_638_0 = 0) | ~ (all_638_1 = 0))
% 169.92/26.13 | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | ALPHA: (380) implies:
% 169.92/26.13 | | | | | | | | | | | | | (381) apply(all_32_8, all_55_0, all_41_2) = all_638_0
% 169.92/26.13 | | | | | | | | | | | | | (382) apply(all_32_8, all_55_0, all_51_0) = all_638_1
% 169.92/26.13 | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | REDUCE: (46), (382) imply:
% 169.92/26.13 | | | | | | | | | | | | | (383) apply(all_32_8, all_41_0, all_51_0) = all_638_1
% 169.92/26.13 | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | REDUCE: (46), (381) imply:
% 169.92/26.13 | | | | | | | | | | | | | (384) apply(all_32_8, all_41_0, all_41_2) = all_638_0
% 169.92/26.13 | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | BETA: splitting (16) gives:
% 169.92/26.13 | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | Case 1:
% 169.92/26.13 | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | | (385) all_51_0 = all_41_2
% 169.92/26.13 | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | | REDUCE: (312), (385) imply:
% 169.92/26.13 | | | | | | | | | | | | | | (386) $false
% 169.92/26.13 | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | | CLOSE: (386) is inconsistent.
% 169.92/26.13 | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | Case 2:
% 169.92/26.13 | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | | (387) ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.13 | | | | | | | | | | | | | | all_41_0, all_51_0) = v0 & apply(all_32_8,
% 169.92/26.13 | | | | | | | | | | | | | | all_41_0, all_41_2) = v1 & ( ~ (v1 = 0) | ~
% 169.92/26.13 | | | | | | | | | | | | | | (v0 = 0)))
% 169.92/26.13 | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | | DELTA: instantiating (387) with fresh symbols all_650_0,
% 169.92/26.13 | | | | | | | | | | | | | | all_650_1 gives:
% 169.92/26.13 | | | | | | | | | | | | | | (388) apply(all_32_8, all_41_0, all_51_0) = all_650_1 &
% 169.92/26.13 | | | | | | | | | | | | | | apply(all_32_8, all_41_0, all_41_2) = all_650_0 &
% 169.92/26.13 | | | | | | | | | | | | | | ( ~ (all_650_0 = 0) | ~ (all_650_1 = 0))
% 169.92/26.13 | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | | ALPHA: (388) implies:
% 169.92/26.13 | | | | | | | | | | | | | | (389) apply(all_32_8, all_41_0, all_41_2) = all_650_0
% 169.92/26.13 | | | | | | | | | | | | | | (390) apply(all_32_8, all_41_0, all_51_0) = all_650_1
% 169.92/26.13 | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | | BETA: splitting (68) gives:
% 169.92/26.13 | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | | Case 1:
% 169.92/26.13 | | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | | | (391) all_51_0 = all_41_2
% 169.92/26.13 | | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | | | REDUCE: (312), (391) imply:
% 169.92/26.13 | | | | | | | | | | | | | | | (392) $false
% 169.92/26.13 | | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | | | CLOSE: (392) is inconsistent.
% 169.92/26.13 | | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | | Case 2:
% 169.92/26.13 | | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | | | (393) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 169.92/26.13 | | | | | | | | | | | | | | | (apply(all_32_8, all_41_0, all_41_2) = v2 &
% 169.92/26.13 | | | | | | | | | | | | | | | member(all_51_0, all_32_4) = v1 &
% 169.92/26.13 | | | | | | | | | | | | | | | member(all_41_0, all_32_5) = v0 & ( ~ (v2 = 0) |
% 169.92/26.13 | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 169.92/26.13 | | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | | | DELTA: instantiating (393) with fresh symbols all_656_0,
% 169.92/26.13 | | | | | | | | | | | | | | | all_656_1, all_656_2 gives:
% 169.92/26.13 | | | | | | | | | | | | | | | (394) apply(all_32_8, all_41_0, all_41_2) = all_656_0 &
% 169.92/26.13 | | | | | | | | | | | | | | | member(all_51_0, all_32_4) = all_656_1 &
% 169.92/26.13 | | | | | | | | | | | | | | | member(all_41_0, all_32_5) = all_656_2 & ( ~
% 169.92/26.13 | | | | | | | | | | | | | | | (all_656_0 = 0) | ~ (all_656_1 = 0) | ~
% 169.92/26.13 | | | | | | | | | | | | | | | (all_656_2 = 0))
% 169.92/26.13 | | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | | | ALPHA: (394) implies:
% 169.92/26.13 | | | | | | | | | | | | | | | (395) apply(all_32_8, all_41_0, all_41_2) = all_656_0
% 169.92/26.13 | | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | | | BETA: splitting (2) gives:
% 169.92/26.13 | | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | | | Case 1:
% 169.92/26.13 | | | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | | | | (396) all_51_0 = all_49_0
% 169.92/26.13 | | | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | | | | COMBINE_EQS: (50), (396) imply:
% 169.92/26.13 | | | | | | | | | | | | | | | | (397) all_51_0 = all_41_2
% 169.92/26.13 | | | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | | | | REDUCE: (312), (397) imply:
% 169.92/26.13 | | | | | | | | | | | | | | | | (398) $false
% 169.92/26.13 | | | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | | | | CLOSE: (398) is inconsistent.
% 169.92/26.13 | | | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | | | Case 2:
% 169.92/26.13 | | | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | | | | (399) ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 169.92/26.13 | | | | | | | | | | | | | | | | all_55_0, all_51_0) = v0 & apply(all_32_8,
% 169.92/26.13 | | | | | | | | | | | | | | | | all_55_0, all_49_0) = v1 & ( ~ (v1 = 0) | ~
% 169.92/26.13 | | | | | | | | | | | | | | | | (v0 = 0)))
% 169.92/26.13 | | | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | | | | DELTA: instantiating (399) with fresh symbols all_674_0,
% 169.92/26.13 | | | | | | | | | | | | | | | | all_674_1 gives:
% 169.92/26.13 | | | | | | | | | | | | | | | | (400) apply(all_32_8, all_55_0, all_51_0) = all_674_1 &
% 169.92/26.13 | | | | | | | | | | | | | | | | apply(all_32_8, all_55_0, all_49_0) = all_674_0 &
% 169.92/26.13 | | | | | | | | | | | | | | | | ( ~ (all_674_0 = 0) | ~ (all_674_1 = 0))
% 169.92/26.13 | | | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | | | | ALPHA: (400) implies:
% 169.92/26.13 | | | | | | | | | | | | | | | | (401) apply(all_32_8, all_55_0, all_49_0) = all_674_0
% 169.92/26.13 | | | | | | | | | | | | | | | | (402) apply(all_32_8, all_55_0, all_51_0) = all_674_1
% 169.92/26.13 | | | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | | | | REDUCE: (46), (402) imply:
% 169.92/26.13 | | | | | | | | | | | | | | | | (403) apply(all_32_8, all_41_0, all_51_0) = all_674_1
% 169.92/26.13 | | | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | | | | REDUCE: (46), (50), (401) imply:
% 169.92/26.13 | | | | | | | | | | | | | | | | (404) apply(all_32_8, all_41_0, all_41_2) = all_674_0
% 169.92/26.13 | | | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_451_0, all_512_1,
% 169.92/26.13 | | | | | | | | | | | | | | | | all_41_2, all_41_0, all_32_8, simplifying with
% 169.92/26.13 | | | | | | | | | | | | | | | | (345), (355) gives:
% 169.92/26.13 | | | | | | | | | | | | | | | | (405) all_512_1 = all_451_0
% 169.92/26.13 | | | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_421_1, all_512_1,
% 169.92/26.13 | | | | | | | | | | | | | | | | all_41_2, all_41_0, all_32_8, simplifying with
% 169.92/26.13 | | | | | | | | | | | | | | | | (340), (355) gives:
% 169.92/26.13 | | | | | | | | | | | | | | | | (406) all_512_1 = all_421_1
% 169.92/26.13 | | | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_416_0, all_512_1,
% 169.92/26.13 | | | | | | | | | | | | | | | | all_41_2, all_41_0, all_32_8, simplifying with
% 169.92/26.13 | | | | | | | | | | | | | | | | (335), (355) gives:
% 169.92/26.13 | | | | | | | | | | | | | | | | (407) all_512_1 = all_416_0
% 169.92/26.13 | | | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_512_1, all_544_0,
% 169.92/26.13 | | | | | | | | | | | | | | | | all_41_2, all_41_0, all_32_8, simplifying with
% 169.92/26.13 | | | | | | | | | | | | | | | | (355), (362) gives:
% 169.92/26.13 | | | | | | | | | | | | | | | | (408) all_544_0 = all_512_1
% 169.92/26.13 | | | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_399_1, all_544_0,
% 169.92/26.13 | | | | | | | | | | | | | | | | all_41_2, all_41_0, all_32_8, simplifying with
% 169.92/26.13 | | | | | | | | | | | | | | | | (330), (362) gives:
% 169.92/26.13 | | | | | | | | | | | | | | | | (409) all_544_0 = all_399_1
% 169.92/26.13 | | | | | | | | | | | | | | | |
% 169.92/26.13 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_512_1, all_626_1,
% 169.92/26.13 | | | | | | | | | | | | | | | | all_41_2, all_41_0, all_32_8, simplifying with
% 169.92/26.13 | | | | | | | | | | | | | | | | (355), (370) gives:
% 169.92/26.13 | | | | | | | | | | | | | | | | (410) all_626_1 = all_512_1
% 169.92/26.13 | | | | | | | | | | | | | | | |
% 169.92/26.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_393_0, all_626_1,
% 169.92/26.14 | | | | | | | | | | | | | | | | all_41_2, all_41_0, all_32_8, simplifying with
% 169.92/26.14 | | | | | | | | | | | | | | | | (322), (370) gives:
% 169.92/26.14 | | | | | | | | | | | | | | | | (411) all_626_1 = all_393_0
% 169.92/26.14 | | | | | | | | | | | | | | | |
% 169.92/26.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_638_0, all_650_0,
% 169.92/26.14 | | | | | | | | | | | | | | | | all_41_2, all_41_0, all_32_8, simplifying with
% 169.92/26.14 | | | | | | | | | | | | | | | | (384), (389) gives:
% 169.92/26.14 | | | | | | | | | | | | | | | | (412) all_650_0 = all_638_0
% 169.92/26.14 | | | | | | | | | | | | | | | |
% 169.92/26.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_256_1, all_650_0,
% 169.92/26.14 | | | | | | | | | | | | | | | | all_41_2, all_41_0, all_32_8, simplifying with
% 169.92/26.14 | | | | | | | | | | | | | | | | (313), (389) gives:
% 169.92/26.14 | | | | | | | | | | | | | | | | (413) all_650_0 = all_256_1
% 169.92/26.14 | | | | | | | | | | | | | | | |
% 169.92/26.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_638_0, all_656_0,
% 169.92/26.14 | | | | | | | | | | | | | | | | all_41_2, all_41_0, all_32_8, simplifying with
% 169.92/26.14 | | | | | | | | | | | | | | | | (384), (395) gives:
% 169.92/26.14 | | | | | | | | | | | | | | | | (414) all_656_0 = all_638_0
% 169.92/26.14 | | | | | | | | | | | | | | | |
% 169.92/26.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_632_1, all_656_0,
% 169.92/26.14 | | | | | | | | | | | | | | | | all_41_2, all_41_0, all_32_8, simplifying with
% 169.92/26.14 | | | | | | | | | | | | | | | | (375), (395) gives:
% 169.92/26.14 | | | | | | | | | | | | | | | | (415) all_656_0 = all_632_1
% 169.92/26.14 | | | | | | | | | | | | | | | |
% 169.92/26.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_544_0, all_656_0,
% 169.92/26.14 | | | | | | | | | | | | | | | | all_41_2, all_41_0, all_32_8, simplifying with
% 169.92/26.14 | | | | | | | | | | | | | | | | (362), (395) gives:
% 169.92/26.14 | | | | | | | | | | | | | | | | (416) all_656_0 = all_544_0
% 169.92/26.14 | | | | | | | | | | | | | | | |
% 169.92/26.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_421_1, all_674_0,
% 169.92/26.14 | | | | | | | | | | | | | | | | all_41_2, all_41_0, all_32_8, simplifying with
% 169.92/26.14 | | | | | | | | | | | | | | | | (340), (404) gives:
% 169.92/26.14 | | | | | | | | | | | | | | | | (417) all_674_0 = all_421_1
% 169.92/26.14 | | | | | | | | | | | | | | | |
% 169.92/26.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with 0, all_674_0, all_41_2,
% 169.92/26.14 | | | | | | | | | | | | | | | | all_41_0, all_32_8, simplifying with (21), (404)
% 169.92/26.14 | | | | | | | | | | | | | | | | gives:
% 169.92/26.14 | | | | | | | | | | | | | | | | (418) all_674_0 = 0
% 169.92/26.14 | | | | | | | | | | | | | | | |
% 169.92/26.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with 0, all_512_0, all_51_0,
% 169.92/26.14 | | | | | | | | | | | | | | | | all_41_0, all_32_8, simplifying with (52), (354)
% 169.92/26.14 | | | | | | | | | | | | | | | | gives:
% 169.92/26.14 | | | | | | | | | | | | | | | | (419) all_512_0 = 0
% 169.92/26.14 | | | | | | | | | | | | | | | |
% 169.92/26.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_393_1, all_632_0,
% 169.92/26.14 | | | | | | | | | | | | | | | | all_51_0, all_41_0, all_32_8, simplifying with
% 169.92/26.14 | | | | | | | | | | | | | | | | (321), (376) gives:
% 169.92/26.14 | | | | | | | | | | | | | | | | (420) all_632_0 = all_393_1
% 169.92/26.14 | | | | | | | | | | | | | | | |
% 169.92/26.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_632_0, all_638_1,
% 169.92/26.14 | | | | | | | | | | | | | | | | all_51_0, all_41_0, all_32_8, simplifying with
% 169.92/26.14 | | | | | | | | | | | | | | | | (376), (383) gives:
% 169.92/26.14 | | | | | | | | | | | | | | | | (421) all_638_1 = all_632_0
% 169.92/26.14 | | | | | | | | | | | | | | | |
% 169.92/26.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_626_0, all_638_1,
% 169.92/26.14 | | | | | | | | | | | | | | | | all_51_0, all_41_0, all_32_8, simplifying with
% 169.92/26.14 | | | | | | | | | | | | | | | | (369), (383) gives:
% 170.34/26.14 | | | | | | | | | | | | | | | | (422) all_638_1 = all_626_0
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_512_0, all_638_1,
% 170.34/26.14 | | | | | | | | | | | | | | | | all_51_0, all_41_0, all_32_8, simplifying with
% 170.34/26.14 | | | | | | | | | | | | | | | | (354), (383) gives:
% 170.34/26.14 | | | | | | | | | | | | | | | | (423) all_638_1 = all_512_0
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_650_1, all_674_1,
% 170.34/26.14 | | | | | | | | | | | | | | | | all_51_0, all_41_0, all_32_8, simplifying with
% 170.34/26.14 | | | | | | | | | | | | | | | | (390), (403) gives:
% 170.34/26.14 | | | | | | | | | | | | | | | | (424) all_674_1 = all_650_1
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_512_0, all_674_1,
% 170.34/26.14 | | | | | | | | | | | | | | | | all_51_0, all_41_0, all_32_8, simplifying with
% 170.34/26.14 | | | | | | | | | | | | | | | | (354), (403) gives:
% 170.34/26.14 | | | | | | | | | | | | | | | | (425) all_674_1 = all_512_0
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_399_0, all_674_1,
% 170.34/26.14 | | | | | | | | | | | | | | | | all_51_0, all_41_0, all_32_8, simplifying with
% 170.34/26.14 | | | | | | | | | | | | | | | | (329), (403) gives:
% 170.34/26.14 | | | | | | | | | | | | | | | | (426) all_674_1 = all_399_0
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (417), (418) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | (427) all_421_1 = 0
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | SIMP: (427) implies:
% 170.34/26.14 | | | | | | | | | | | | | | | | (428) all_421_1 = 0
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (426) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | (429) all_650_1 = all_399_0
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (425) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | (430) all_650_1 = all_512_0
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (415) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | (431) all_638_0 = all_632_1
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | SIMP: (431) implies:
% 170.34/26.14 | | | | | | | | | | | | | | | | (432) all_638_0 = all_632_1
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (416) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | (433) all_632_1 = all_544_0
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (413) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | (434) all_638_0 = all_256_1
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | SIMP: (434) implies:
% 170.34/26.14 | | | | | | | | | | | | | | | | (435) all_638_0 = all_256_1
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (430) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | (436) all_512_0 = all_399_0
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | SIMP: (436) implies:
% 170.34/26.14 | | | | | | | | | | | | | | | | (437) all_512_0 = all_399_0
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (432), (435) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | (438) all_632_1 = all_256_1
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | SIMP: (438) implies:
% 170.34/26.14 | | | | | | | | | | | | | | | | (439) all_632_1 = all_256_1
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (423) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | (440) all_626_0 = all_512_0
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (422) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | (441) all_632_0 = all_626_0
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | SIMP: (441) implies:
% 170.34/26.14 | | | | | | | | | | | | | | | | (442) all_632_0 = all_626_0
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (442) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | (443) all_626_0 = all_393_1
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | SIMP: (443) implies:
% 170.34/26.14 | | | | | | | | | | | | | | | | (444) all_626_0 = all_393_1
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (433), (439) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | (445) all_544_0 = all_256_1
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | SIMP: (445) implies:
% 170.34/26.14 | | | | | | | | | | | | | | | | (446) all_544_0 = all_256_1
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (440), (444) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | (447) all_512_0 = all_393_1
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | SIMP: (447) implies:
% 170.34/26.14 | | | | | | | | | | | | | | | | (448) all_512_0 = all_393_1
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (410), (411) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | (449) all_512_1 = all_393_0
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | SIMP: (449) implies:
% 170.34/26.14 | | | | | | | | | | | | | | | | (450) all_512_1 = all_393_0
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (408), (409) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | (451) all_512_1 = all_399_1
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | SIMP: (451) implies:
% 170.34/26.14 | | | | | | | | | | | | | | | | (452) all_512_1 = all_399_1
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (446) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | (453) all_399_1 = all_256_1
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (419), (437) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | (454) all_399_0 = 0
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (437), (448) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | (455) all_399_0 = all_393_1
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (405), (407) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | (456) all_451_0 = all_416_0
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (405), (450) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | (457) all_451_0 = all_393_0
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (405), (452) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | (458) all_451_0 = all_399_1
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (405), (406) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | (459) all_451_0 = all_421_1
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (459) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | (460) all_421_1 = all_416_0
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | SIMP: (460) implies:
% 170.34/26.14 | | | | | | | | | | | | | | | | (461) all_421_1 = all_416_0
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (457) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | (462) all_416_0 = all_393_0
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (458) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | (463) all_416_0 = all_399_1
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (428), (461) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | (464) all_416_0 = 0
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | SIMP: (464) implies:
% 170.34/26.14 | | | | | | | | | | | | | | | | (465) all_416_0 = 0
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (463) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | (466) all_399_1 = all_393_0
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | SIMP: (466) implies:
% 170.34/26.14 | | | | | | | | | | | | | | | | (467) all_399_1 = all_393_0
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (465) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | (468) all_393_0 = 0
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (455) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | (469) all_393_1 = 0
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (467) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | (470) all_393_0 = all_256_1
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | SIMP: (470) implies:
% 170.34/26.14 | | | | | | | | | | | | | | | | (471) all_393_0 = all_256_1
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (468), (471) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | (472) all_256_1 = 0
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (465) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | (473) all_451_0 = 0
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (405), (473) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | (474) all_512_1 = 0
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | BETA: splitting (353) gives:
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | Case 1:
% 170.34/26.14 | | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | | (475) ~ (all_512_0 = 0)
% 170.34/26.14 | | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | | REDUCE: (419), (475) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | | (476) $false
% 170.34/26.14 | | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | | CLOSE: (476) is inconsistent.
% 170.34/26.14 | | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | Case 2:
% 170.34/26.14 | | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | | (477) ~ (all_512_1 = 0)
% 170.34/26.14 | | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | | REDUCE: (474), (477) imply:
% 170.34/26.14 | | | | | | | | | | | | | | | | | (478) $false
% 170.34/26.14 | | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | | CLOSE: (478) is inconsistent.
% 170.34/26.14 | | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | | End of split
% 170.34/26.14 | | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | | End of split
% 170.34/26.14 | | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | | End of split
% 170.34/26.14 | | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | | End of split
% 170.34/26.14 | | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | | End of split
% 170.34/26.14 | | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | | End of split
% 170.34/26.14 | | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | | End of split
% 170.34/26.14 | | | | | | | | | |
% 170.34/26.14 | | | | | | | | | End of split
% 170.34/26.14 | | | | | | | | |
% 170.34/26.14 | | | | | | | | End of split
% 170.34/26.14 | | | | | | | |
% 170.34/26.14 | | | | | | | End of split
% 170.34/26.14 | | | | | | |
% 170.34/26.14 | | | | | | End of split
% 170.34/26.14 | | | | | |
% 170.34/26.14 | | | | | End of split
% 170.34/26.14 | | | | |
% 170.34/26.14 | | | | End of split
% 170.34/26.14 | | | |
% 170.34/26.14 | | | End of split
% 170.34/26.14 | | |
% 170.34/26.14 | | End of split
% 170.34/26.14 | |
% 170.34/26.14 | End of split
% 170.34/26.14 |
% 170.34/26.14 End of proof
% 170.34/26.14
% 170.34/26.14 Sub-proof #3 shows that the following formulas are inconsistent:
% 170.34/26.14 ----------------------------------------------------------------
% 170.34/26.14 (1) all_123_3 = all_41_2 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 170.34/26.14 (apply(all_32_8, all_119_3, all_123_3) = v2 & member(all_119_3, all_32_5)
% 170.34/26.14 = v0 & member(all_41_2, all_32_4) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) |
% 170.34/26.14 ~ (v0 = 0)))
% 170.34/26.14 (2) all_51_0 = all_49_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.14 all_55_0, all_51_0) = v0 & apply(all_32_8, all_55_0, all_49_0) = v1 &
% 170.34/26.14 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.14 (3) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 170.34/26.14 ! [v3: $i] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) =
% 170.34/26.14 v0))
% 170.34/26.14 (4) all_123_3 = all_51_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.14 all_117_0, all_123_3) = v1 & apply(all_32_8, all_117_0, all_51_0) =
% 170.34/26.14 v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.14 (5) all_51_0 = all_49_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.14 all_41_0, all_51_0) = v0 & apply(all_32_8, all_41_0, all_49_0) = v1 &
% 170.34/26.14 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.14 (6) all_123_3 = all_121_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.14 all_41_0, all_123_3) = v0 & apply(all_32_8, all_41_0, all_121_3) = v1
% 170.34/26.14 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.14 (7) all_51_0 = all_41_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.14 all_55_0, all_51_0) = v0 & apply(all_32_8, all_55_0, all_41_2) = v1 &
% 170.34/26.14 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.14 (8) all_117_0 = all_41_0
% 170.34/26.14 (9) all_51_0 = all_41_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.14 all_41_0, all_51_0) = v0 & apply(all_32_8, all_41_0, all_41_2) = v1 &
% 170.34/26.14 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.14 (10) apply(all_32_8, all_41_0, all_41_2) = 0
% 170.34/26.15 (11) all_111_0 = all_41_2 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 170.34/26.15 (apply(all_32_8, all_41_0, all_41_2) = v2 & member(all_111_0, all_32_4)
% 170.34/26.15 = v1 & member(all_41_0, all_32_5) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) |
% 170.34/26.15 ~ (v0 = 0)))
% 170.34/26.15 (12) all_123_3 = all_51_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.15 all_41_0, all_123_3) = v0 & apply(all_32_8, all_41_0, all_51_0) = v1
% 170.34/26.15 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.15 (13) all_123_3 = all_121_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.15 all_117_0, all_123_3) = v0 & apply(all_32_8, all_117_0, all_121_3) =
% 170.34/26.15 v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.15 (14) all_123_3 = all_51_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.15 all_117_0, all_123_3) = v0 & apply(all_32_8, all_117_0, all_51_0) =
% 170.34/26.15 v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.15 (15) all_123_3 = all_121_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.15 all_119_3, all_123_3) = v1 & apply(all_32_8, all_119_3, all_121_3) =
% 170.34/26.15 v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.15 (16) all_111_0 = all_51_0
% 170.34/26.15 (17) all_51_0 = all_49_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.15 all_55_0, all_51_0) = v1 & apply(all_32_8, all_55_0, all_49_0) = v0
% 170.34/26.15 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.15 (18) member(all_41_0, all_32_5) = 0
% 170.34/26.15 (19) all_51_0 = all_41_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.15 all_55_0, all_51_0) = v1 & apply(all_32_8, all_55_0, all_41_2) = v0
% 170.34/26.15 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.15 (20) member(all_51_0, all_32_4) = 0
% 170.34/26.15 (21) apply(all_32_8, all_41_0, all_123_3) = 0
% 170.34/26.15 (22) all_123_3 = all_121_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.15 all_41_0, all_123_3) = v1 & apply(all_32_8, all_41_0, all_121_3) =
% 170.34/26.15 v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.15 (23) all_121_3 = all_41_2
% 170.34/26.15 (24) all_119_3 = all_41_0
% 170.34/26.15 (25) all_55_0 = all_41_0
% 170.34/26.15 (26) all_123_3 = all_51_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.15 all_119_3, all_123_3) = v0 & apply(all_32_8, all_119_3, all_51_0) =
% 170.34/26.15 v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.15 (27) all_49_0 = all_41_2
% 170.34/26.15 (28) apply(all_32_8, all_41_0, all_51_0) = 0
% 170.34/26.15 (29) all_51_0 = all_49_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.15 all_41_0, all_51_0) = v1 & apply(all_32_8, all_41_0, all_49_0) = v0
% 170.34/26.15 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.15 (30) all_51_0 = all_49_0 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 170.34/26.15 (apply(all_32_8, all_41_0, all_49_0) = v2 & member(all_51_0, all_32_4) =
% 170.34/26.15 v1 & member(all_41_0, all_32_5) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 170.34/26.15 (v0 = 0)))
% 170.34/26.15 (31) all_123_3 = all_121_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.15 all_119_3, all_123_3) = v0 & apply(all_32_8, all_119_3, all_121_3) =
% 170.34/26.15 v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.15 (32) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 170.34/26.15 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | ~
% 170.34/26.15 (apply(v4, v3, v2) = v0))
% 170.34/26.15 (33) ~ (all_51_0 = all_41_2)
% 170.34/26.15 (34) all_51_0 = all_41_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.15 all_41_0, all_51_0) = v1 & apply(all_32_8, all_41_0, all_41_2) = v0
% 170.34/26.15 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.15 (35) all_51_0 = all_41_2 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 170.34/26.15 (apply(all_32_8, all_41_0, all_41_2) = v2 & member(all_51_0, all_32_4) =
% 170.34/26.15 v1 & member(all_41_0, all_32_5) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 170.34/26.15 (v0 = 0)))
% 170.34/26.15 (36) all_123_3 = all_51_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.15 all_119_3, all_123_3) = v1 & apply(all_32_8, all_119_3, all_51_0) =
% 170.34/26.15 v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.15
% 170.34/26.15 Begin of proof
% 170.34/26.15 |
% 170.34/26.15 | BETA: splitting (4) gives:
% 170.34/26.15 |
% 170.34/26.15 | Case 1:
% 170.34/26.15 | |
% 170.34/26.15 | | (37) all_123_3 = all_51_0
% 170.34/26.15 | |
% 170.34/26.15 | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (10), (11), (13), (15), (16),
% 170.34/26.15 | | (17), (18), (19), (20), (22), (23), (24), (25), (27), (29), (30),
% 170.34/26.15 | | (31), (32), (33), (34), (35), (37) are inconsistent by sub-proof
% 170.34/26.15 | | #4.
% 170.34/26.15 | |
% 170.34/26.15 | Case 2:
% 170.34/26.15 | |
% 170.34/26.15 | | (38) ? [v0: any] : ? [v1: any] : (apply(all_32_8, all_117_0, all_123_3)
% 170.34/26.15 | | = v1 & apply(all_32_8, all_117_0, all_51_0) = v0 & ( ~ (v1 = 0) |
% 170.34/26.15 | | ~ (v0 = 0)))
% 170.34/26.15 | |
% 170.34/26.15 | | DELTA: instantiating (38) with fresh symbols all_443_0, all_443_1 gives:
% 170.34/26.15 | | (39) apply(all_32_8, all_117_0, all_123_3) = all_443_0 & apply(all_32_8,
% 170.34/26.15 | | all_117_0, all_51_0) = all_443_1 & ( ~ (all_443_0 = 0) | ~
% 170.34/26.15 | | (all_443_1 = 0))
% 170.34/26.15 | |
% 170.34/26.15 | | ALPHA: (39) implies:
% 170.34/26.15 | | (40) apply(all_32_8, all_117_0, all_51_0) = all_443_1
% 170.34/26.15 | | (41) apply(all_32_8, all_117_0, all_123_3) = all_443_0
% 170.34/26.15 | |
% 170.34/26.15 | | REDUCE: (8), (41) imply:
% 170.34/26.15 | | (42) apply(all_32_8, all_41_0, all_123_3) = all_443_0
% 170.34/26.15 | |
% 170.34/26.15 | | REDUCE: (8), (40) imply:
% 170.34/26.15 | | (43) apply(all_32_8, all_41_0, all_51_0) = all_443_1
% 170.34/26.15 | |
% 170.34/26.15 | | BETA: splitting (14) gives:
% 170.34/26.15 | |
% 170.34/26.15 | | Case 1:
% 170.34/26.15 | | |
% 170.34/26.15 | | | (44) all_123_3 = all_51_0
% 170.34/26.15 | | |
% 170.34/26.15 | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (10), (11), (13), (15),
% 170.34/26.15 | | | (16), (17), (18), (19), (20), (22), (23), (24), (25), (27),
% 170.34/26.15 | | | (29), (30), (31), (32), (33), (34), (35), (44) are inconsistent
% 170.34/26.15 | | | by sub-proof #4.
% 170.34/26.15 | | |
% 170.34/26.15 | | Case 2:
% 170.34/26.15 | | |
% 170.34/26.15 | | | (45) ? [v0: any] : ? [v1: any] : (apply(all_32_8, all_117_0,
% 170.34/26.15 | | | all_123_3) = v0 & apply(all_32_8, all_117_0, all_51_0) = v1 &
% 170.34/26.15 | | | ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.15 | | |
% 170.34/26.15 | | | DELTA: instantiating (45) with fresh symbols all_490_0, all_490_1 gives:
% 170.34/26.15 | | | (46) apply(all_32_8, all_117_0, all_123_3) = all_490_1 &
% 170.34/26.15 | | | apply(all_32_8, all_117_0, all_51_0) = all_490_0 & ( ~ (all_490_0
% 170.34/26.15 | | | = 0) | ~ (all_490_1 = 0))
% 170.34/26.15 | | |
% 170.34/26.15 | | | ALPHA: (46) implies:
% 170.34/26.15 | | | (47) apply(all_32_8, all_117_0, all_51_0) = all_490_0
% 170.34/26.15 | | | (48) apply(all_32_8, all_117_0, all_123_3) = all_490_1
% 170.34/26.15 | | |
% 170.34/26.15 | | | REDUCE: (8), (48) imply:
% 170.34/26.15 | | | (49) apply(all_32_8, all_41_0, all_123_3) = all_490_1
% 170.34/26.15 | | |
% 170.34/26.15 | | | REDUCE: (8), (47) imply:
% 170.34/26.15 | | | (50) apply(all_32_8, all_41_0, all_51_0) = all_490_0
% 170.34/26.15 | | |
% 170.34/26.15 | | | BETA: splitting (36) gives:
% 170.34/26.15 | | |
% 170.34/26.15 | | | Case 1:
% 170.34/26.15 | | | |
% 170.34/26.15 | | | | (51) all_123_3 = all_51_0
% 170.34/26.15 | | | |
% 170.34/26.15 | | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (10), (11), (13), (15),
% 170.34/26.15 | | | | (16), (17), (18), (19), (20), (22), (23), (24), (25), (27),
% 170.34/26.15 | | | | (29), (30), (31), (32), (33), (34), (35), (51) are
% 170.34/26.15 | | | | inconsistent by sub-proof #4.
% 170.34/26.15 | | | |
% 170.34/26.15 | | | Case 2:
% 170.34/26.15 | | | |
% 170.34/26.15 | | | | (52) ? [v0: any] : ? [v1: any] : (apply(all_32_8, all_119_3,
% 170.34/26.15 | | | | all_123_3) = v1 & apply(all_32_8, all_119_3, all_51_0) = v0
% 170.34/26.15 | | | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.15 | | | |
% 170.34/26.15 | | | | DELTA: instantiating (52) with fresh symbols all_496_0, all_496_1 gives:
% 170.34/26.15 | | | | (53) apply(all_32_8, all_119_3, all_123_3) = all_496_0 &
% 170.34/26.15 | | | | apply(all_32_8, all_119_3, all_51_0) = all_496_1 & ( ~
% 170.34/26.15 | | | | (all_496_0 = 0) | ~ (all_496_1 = 0))
% 170.34/26.15 | | | |
% 170.34/26.15 | | | | ALPHA: (53) implies:
% 170.34/26.15 | | | | (54) apply(all_32_8, all_119_3, all_51_0) = all_496_1
% 170.34/26.15 | | | | (55) apply(all_32_8, all_119_3, all_123_3) = all_496_0
% 170.34/26.15 | | | | (56) ~ (all_496_0 = 0) | ~ (all_496_1 = 0)
% 170.34/26.15 | | | |
% 170.34/26.15 | | | | REDUCE: (24), (55) imply:
% 170.34/26.15 | | | | (57) apply(all_32_8, all_41_0, all_123_3) = all_496_0
% 170.34/26.15 | | | |
% 170.34/26.15 | | | | REDUCE: (24), (54) imply:
% 170.34/26.15 | | | | (58) apply(all_32_8, all_41_0, all_51_0) = all_496_1
% 170.34/26.15 | | | |
% 170.34/26.15 | | | | BETA: splitting (12) gives:
% 170.34/26.15 | | | |
% 170.34/26.15 | | | | Case 1:
% 170.34/26.15 | | | | |
% 170.34/26.16 | | | | | (59) all_123_3 = all_51_0
% 170.34/26.16 | | | | |
% 170.34/26.16 | | | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (10), (11), (13), (15),
% 170.34/26.16 | | | | | (16), (17), (18), (19), (20), (22), (23), (24), (25), (27),
% 170.34/26.16 | | | | | (29), (30), (31), (32), (33), (34), (35), (59) are
% 170.34/26.16 | | | | | inconsistent by sub-proof #4.
% 170.34/26.16 | | | | |
% 170.34/26.16 | | | | Case 2:
% 170.34/26.16 | | | | |
% 170.34/26.16 | | | | | (60) ? [v0: any] : ? [v1: any] : (apply(all_32_8, all_41_0,
% 170.34/26.16 | | | | | all_123_3) = v0 & apply(all_32_8, all_41_0, all_51_0) = v1
% 170.34/26.16 | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.16 | | | | |
% 170.34/26.16 | | | | | DELTA: instantiating (60) with fresh symbols all_518_0, all_518_1
% 170.34/26.16 | | | | | gives:
% 170.34/26.16 | | | | | (61) apply(all_32_8, all_41_0, all_123_3) = all_518_1 &
% 170.34/26.16 | | | | | apply(all_32_8, all_41_0, all_51_0) = all_518_0 & ( ~
% 170.34/26.16 | | | | | (all_518_0 = 0) | ~ (all_518_1 = 0))
% 170.34/26.16 | | | | |
% 170.34/26.16 | | | | | ALPHA: (61) implies:
% 170.34/26.16 | | | | | (62) apply(all_32_8, all_41_0, all_51_0) = all_518_0
% 170.34/26.16 | | | | | (63) apply(all_32_8, all_41_0, all_123_3) = all_518_1
% 170.34/26.16 | | | | |
% 170.34/26.16 | | | | | BETA: splitting (5) gives:
% 170.34/26.16 | | | | |
% 170.34/26.16 | | | | | Case 1:
% 170.34/26.16 | | | | | |
% 170.34/26.16 | | | | | | (64) all_51_0 = all_49_0
% 170.34/26.16 | | | | | |
% 170.34/26.16 | | | | | | COMBINE_EQS: (27), (64) imply:
% 170.34/26.16 | | | | | | (65) all_51_0 = all_41_2
% 170.34/26.16 | | | | | |
% 170.34/26.16 | | | | | | REDUCE: (33), (65) imply:
% 170.34/26.16 | | | | | | (66) $false
% 170.34/26.16 | | | | | |
% 170.34/26.16 | | | | | | CLOSE: (66) is inconsistent.
% 170.34/26.16 | | | | | |
% 170.34/26.16 | | | | | Case 2:
% 170.34/26.16 | | | | | |
% 170.34/26.16 | | | | | | (67) ~ (all_51_0 = all_49_0)
% 170.34/26.16 | | | | | | (68) ? [v0: any] : ? [v1: any] : (apply(all_32_8, all_41_0,
% 170.34/26.16 | | | | | | all_51_0) = v0 & apply(all_32_8, all_41_0, all_49_0) =
% 170.34/26.16 | | | | | | v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.16 | | | | | |
% 170.34/26.16 | | | | | | DELTA: instantiating (68) with fresh symbols all_524_0, all_524_1
% 170.34/26.16 | | | | | | gives:
% 170.34/26.16 | | | | | | (69) apply(all_32_8, all_41_0, all_51_0) = all_524_1 &
% 170.34/26.16 | | | | | | apply(all_32_8, all_41_0, all_49_0) = all_524_0 & ( ~
% 170.34/26.16 | | | | | | (all_524_0 = 0) | ~ (all_524_1 = 0))
% 170.34/26.16 | | | | | |
% 170.34/26.16 | | | | | | ALPHA: (69) implies:
% 170.34/26.16 | | | | | | (70) apply(all_32_8, all_41_0, all_51_0) = all_524_1
% 170.34/26.16 | | | | | |
% 170.34/26.16 | | | | | | BETA: splitting (29) gives:
% 170.34/26.16 | | | | | |
% 170.34/26.16 | | | | | | Case 1:
% 170.34/26.16 | | | | | | |
% 170.34/26.16 | | | | | | | (71) all_51_0 = all_49_0
% 170.34/26.16 | | | | | | |
% 170.34/26.16 | | | | | | | COMBINE_EQS: (27), (71) imply:
% 170.34/26.16 | | | | | | | (72) all_51_0 = all_41_2
% 170.34/26.16 | | | | | | |
% 170.34/26.16 | | | | | | | REDUCE: (33), (72) imply:
% 170.34/26.16 | | | | | | | (73) $false
% 170.34/26.16 | | | | | | |
% 170.34/26.16 | | | | | | | CLOSE: (73) is inconsistent.
% 170.34/26.16 | | | | | | |
% 170.34/26.16 | | | | | | Case 2:
% 170.34/26.16 | | | | | | |
% 170.34/26.16 | | | | | | | (74) ? [v0: any] : ? [v1: any] : (apply(all_32_8, all_41_0,
% 170.34/26.16 | | | | | | | all_51_0) = v1 & apply(all_32_8, all_41_0, all_49_0) =
% 170.34/26.16 | | | | | | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.16 | | | | | | |
% 170.34/26.16 | | | | | | | DELTA: instantiating (74) with fresh symbols all_530_0, all_530_1
% 170.34/26.16 | | | | | | | gives:
% 170.34/26.16 | | | | | | | (75) apply(all_32_8, all_41_0, all_51_0) = all_530_0 &
% 170.34/26.16 | | | | | | | apply(all_32_8, all_41_0, all_49_0) = all_530_1 & ( ~
% 170.34/26.16 | | | | | | | (all_530_0 = 0) | ~ (all_530_1 = 0))
% 170.34/26.16 | | | | | | |
% 170.34/26.16 | | | | | | | ALPHA: (75) implies:
% 170.34/26.16 | | | | | | | (76) apply(all_32_8, all_41_0, all_51_0) = all_530_0
% 170.34/26.16 | | | | | | |
% 170.34/26.16 | | | | | | | BETA: splitting (19) gives:
% 170.34/26.16 | | | | | | |
% 170.34/26.16 | | | | | | | Case 1:
% 170.34/26.16 | | | | | | | |
% 170.34/26.16 | | | | | | | | (77) all_51_0 = all_41_2
% 170.34/26.16 | | | | | | | |
% 170.34/26.16 | | | | | | | | REDUCE: (33), (77) imply:
% 170.34/26.16 | | | | | | | | (78) $false
% 170.34/26.16 | | | | | | | |
% 170.34/26.16 | | | | | | | | CLOSE: (78) is inconsistent.
% 170.34/26.16 | | | | | | | |
% 170.34/26.16 | | | | | | | Case 2:
% 170.34/26.16 | | | | | | | |
% 170.34/26.16 | | | | | | | | (79) ? [v0: any] : ? [v1: any] : (apply(all_32_8, all_55_0,
% 170.34/26.16 | | | | | | | | all_51_0) = v1 & apply(all_32_8, all_55_0, all_41_2)
% 170.34/26.16 | | | | | | | | = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.16 | | | | | | | |
% 170.34/26.16 | | | | | | | | DELTA: instantiating (79) with fresh symbols all_542_0,
% 170.34/26.16 | | | | | | | | all_542_1 gives:
% 170.34/26.16 | | | | | | | | (80) apply(all_32_8, all_55_0, all_51_0) = all_542_0 &
% 170.34/26.16 | | | | | | | | apply(all_32_8, all_55_0, all_41_2) = all_542_1 & ( ~
% 170.34/26.16 | | | | | | | | (all_542_0 = 0) | ~ (all_542_1 = 0))
% 170.34/26.16 | | | | | | | |
% 170.34/26.16 | | | | | | | | ALPHA: (80) implies:
% 170.34/26.16 | | | | | | | | (81) apply(all_32_8, all_55_0, all_51_0) = all_542_0
% 170.34/26.16 | | | | | | | |
% 170.34/26.16 | | | | | | | | REDUCE: (25), (81) imply:
% 170.34/26.16 | | | | | | | | (82) apply(all_32_8, all_41_0, all_51_0) = all_542_0
% 170.34/26.16 | | | | | | | |
% 170.34/26.16 | | | | | | | | BETA: splitting (7) gives:
% 170.34/26.16 | | | | | | | |
% 170.34/26.16 | | | | | | | | Case 1:
% 170.34/26.16 | | | | | | | | |
% 170.34/26.16 | | | | | | | | | (83) all_51_0 = all_41_2
% 170.34/26.16 | | | | | | | | |
% 170.34/26.16 | | | | | | | | | REDUCE: (33), (83) imply:
% 170.34/26.16 | | | | | | | | | (84) $false
% 170.34/26.16 | | | | | | | | |
% 170.34/26.16 | | | | | | | | | CLOSE: (84) is inconsistent.
% 170.34/26.16 | | | | | | | | |
% 170.34/26.16 | | | | | | | | Case 2:
% 170.34/26.16 | | | | | | | | |
% 170.34/26.16 | | | | | | | | | (85) ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.16 | | | | | | | | | all_55_0, all_51_0) = v0 & apply(all_32_8,
% 170.34/26.16 | | | | | | | | | all_55_0, all_41_2) = v1 & ( ~ (v1 = 0) | ~ (v0 =
% 170.34/26.16 | | | | | | | | | 0)))
% 170.34/26.16 | | | | | | | | |
% 170.34/26.16 | | | | | | | | | DELTA: instantiating (85) with fresh symbols all_548_0,
% 170.34/26.16 | | | | | | | | | all_548_1 gives:
% 170.34/26.16 | | | | | | | | | (86) apply(all_32_8, all_55_0, all_51_0) = all_548_1 &
% 170.34/26.16 | | | | | | | | | apply(all_32_8, all_55_0, all_41_2) = all_548_0 & ( ~
% 170.34/26.16 | | | | | | | | | (all_548_0 = 0) | ~ (all_548_1 = 0))
% 170.34/26.16 | | | | | | | | |
% 170.34/26.16 | | | | | | | | | ALPHA: (86) implies:
% 170.34/26.16 | | | | | | | | | (87) apply(all_32_8, all_55_0, all_51_0) = all_548_1
% 170.34/26.16 | | | | | | | | |
% 170.34/26.16 | | | | | | | | | REDUCE: (25), (87) imply:
% 170.34/26.16 | | | | | | | | | (88) apply(all_32_8, all_41_0, all_51_0) = all_548_1
% 170.34/26.16 | | | | | | | | |
% 170.34/26.16 | | | | | | | | | BETA: splitting (26) gives:
% 170.34/26.16 | | | | | | | | |
% 170.34/26.16 | | | | | | | | | Case 1:
% 170.34/26.16 | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | (89) all_123_3 = all_51_0
% 170.34/26.16 | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (10), (11),
% 170.34/26.16 | | | | | | | | | | (13), (15), (16), (17), (18), (19), (20), (22),
% 170.34/26.16 | | | | | | | | | | (23), (24), (25), (27), (29), (30), (31), (32),
% 170.34/26.16 | | | | | | | | | | (33), (34), (35), (89) are inconsistent by
% 170.34/26.16 | | | | | | | | | | sub-proof #4.
% 170.34/26.16 | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | Case 2:
% 170.34/26.16 | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | (90) ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.16 | | | | | | | | | | all_119_3, all_123_3) = v0 & apply(all_32_8,
% 170.34/26.16 | | | | | | | | | | all_119_3, all_51_0) = v1 & ( ~ (v1 = 0) | ~
% 170.34/26.16 | | | | | | | | | | (v0 = 0)))
% 170.34/26.16 | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | DELTA: instantiating (90) with fresh symbols all_554_0,
% 170.34/26.16 | | | | | | | | | | all_554_1 gives:
% 170.34/26.16 | | | | | | | | | | (91) apply(all_32_8, all_119_3, all_123_3) = all_554_1 &
% 170.34/26.16 | | | | | | | | | | apply(all_32_8, all_119_3, all_51_0) = all_554_0 & (
% 170.34/26.16 | | | | | | | | | | ~ (all_554_0 = 0) | ~ (all_554_1 = 0))
% 170.34/26.16 | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | ALPHA: (91) implies:
% 170.34/26.16 | | | | | | | | | | (92) apply(all_32_8, all_119_3, all_51_0) = all_554_0
% 170.34/26.16 | | | | | | | | | | (93) apply(all_32_8, all_119_3, all_123_3) = all_554_1
% 170.34/26.16 | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | REDUCE: (24), (93) imply:
% 170.34/26.16 | | | | | | | | | | (94) apply(all_32_8, all_41_0, all_123_3) = all_554_1
% 170.34/26.16 | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | REDUCE: (24), (92) imply:
% 170.34/26.16 | | | | | | | | | | (95) apply(all_32_8, all_41_0, all_51_0) = all_554_0
% 170.34/26.16 | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | BETA: splitting (9) gives:
% 170.34/26.16 | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | Case 1:
% 170.34/26.16 | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | (96) all_51_0 = all_41_2
% 170.34/26.16 | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | REDUCE: (33), (96) imply:
% 170.34/26.16 | | | | | | | | | | | (97) $false
% 170.34/26.16 | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | CLOSE: (97) is inconsistent.
% 170.34/26.16 | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | Case 2:
% 170.34/26.16 | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | (98) ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.16 | | | | | | | | | | | all_41_0, all_51_0) = v0 & apply(all_32_8,
% 170.34/26.16 | | | | | | | | | | | all_41_0, all_41_2) = v1 & ( ~ (v1 = 0) | ~
% 170.34/26.16 | | | | | | | | | | | (v0 = 0)))
% 170.34/26.16 | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | DELTA: instantiating (98) with fresh symbols all_578_0,
% 170.34/26.16 | | | | | | | | | | | all_578_1 gives:
% 170.34/26.16 | | | | | | | | | | | (99) apply(all_32_8, all_41_0, all_51_0) = all_578_1 &
% 170.34/26.16 | | | | | | | | | | | apply(all_32_8, all_41_0, all_41_2) = all_578_0 &
% 170.34/26.16 | | | | | | | | | | | ( ~ (all_578_0 = 0) | ~ (all_578_1 = 0))
% 170.34/26.16 | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | ALPHA: (99) implies:
% 170.34/26.16 | | | | | | | | | | | (100) apply(all_32_8, all_41_0, all_51_0) = all_578_1
% 170.34/26.16 | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | BETA: splitting (34) gives:
% 170.34/26.16 | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | Case 1:
% 170.34/26.16 | | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | | (101) all_51_0 = all_41_2
% 170.34/26.16 | | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | | REDUCE: (33), (101) imply:
% 170.34/26.16 | | | | | | | | | | | | (102) $false
% 170.34/26.16 | | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | | CLOSE: (102) is inconsistent.
% 170.34/26.16 | | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | Case 2:
% 170.34/26.16 | | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | | (103) ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.16 | | | | | | | | | | | | all_41_0, all_51_0) = v1 & apply(all_32_8,
% 170.34/26.16 | | | | | | | | | | | | all_41_0, all_41_2) = v0 & ( ~ (v1 = 0) | ~
% 170.34/26.16 | | | | | | | | | | | | (v0 = 0)))
% 170.34/26.16 | | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | | DELTA: instantiating (103) with fresh symbols all_584_0,
% 170.34/26.16 | | | | | | | | | | | | all_584_1 gives:
% 170.34/26.16 | | | | | | | | | | | | (104) apply(all_32_8, all_41_0, all_51_0) = all_584_0 &
% 170.34/26.16 | | | | | | | | | | | | apply(all_32_8, all_41_0, all_41_2) = all_584_1 &
% 170.34/26.16 | | | | | | | | | | | | ( ~ (all_584_0 = 0) | ~ (all_584_1 = 0))
% 170.34/26.16 | | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | | ALPHA: (104) implies:
% 170.34/26.16 | | | | | | | | | | | | (105) apply(all_32_8, all_41_0, all_51_0) = all_584_0
% 170.34/26.16 | | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | | BETA: splitting (2) gives:
% 170.34/26.16 | | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | | Case 1:
% 170.34/26.16 | | | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | | | (106) all_51_0 = all_49_0
% 170.34/26.16 | | | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | | | COMBINE_EQS: (27), (106) imply:
% 170.34/26.16 | | | | | | | | | | | | | (107) all_51_0 = all_41_2
% 170.34/26.16 | | | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | | | REDUCE: (33), (107) imply:
% 170.34/26.16 | | | | | | | | | | | | | (108) $false
% 170.34/26.16 | | | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | | | CLOSE: (108) is inconsistent.
% 170.34/26.16 | | | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | | Case 2:
% 170.34/26.16 | | | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | | | (109) ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.16 | | | | | | | | | | | | | all_55_0, all_51_0) = v0 & apply(all_32_8,
% 170.34/26.16 | | | | | | | | | | | | | all_55_0, all_49_0) = v1 & ( ~ (v1 = 0) | ~
% 170.34/26.16 | | | | | | | | | | | | | (v0 = 0)))
% 170.34/26.16 | | | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | | | DELTA: instantiating (109) with fresh symbols all_602_0,
% 170.34/26.16 | | | | | | | | | | | | | all_602_1 gives:
% 170.34/26.16 | | | | | | | | | | | | | (110) apply(all_32_8, all_55_0, all_51_0) = all_602_1 &
% 170.34/26.16 | | | | | | | | | | | | | apply(all_32_8, all_55_0, all_49_0) = all_602_0 &
% 170.34/26.16 | | | | | | | | | | | | | ( ~ (all_602_0 = 0) | ~ (all_602_1 = 0))
% 170.34/26.16 | | | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | | | ALPHA: (110) implies:
% 170.34/26.16 | | | | | | | | | | | | | (111) apply(all_32_8, all_55_0, all_51_0) = all_602_1
% 170.34/26.16 | | | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | | | REDUCE: (25), (111) imply:
% 170.34/26.16 | | | | | | | | | | | | | (112) apply(all_32_8, all_41_0, all_51_0) = all_602_1
% 170.34/26.16 | | | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | | | GROUND_INST: instantiating (32) with 0, all_490_0, all_51_0,
% 170.34/26.16 | | | | | | | | | | | | | all_41_0, all_32_8, simplifying with (28), (50)
% 170.34/26.16 | | | | | | | | | | | | | gives:
% 170.34/26.16 | | | | | | | | | | | | | (113) all_490_0 = 0
% 170.34/26.16 | | | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_490_0, all_496_1,
% 170.34/26.16 | | | | | | | | | | | | | all_51_0, all_41_0, all_32_8, simplifying with
% 170.34/26.16 | | | | | | | | | | | | | (50), (58) gives:
% 170.34/26.16 | | | | | | | | | | | | | (114) all_496_1 = all_490_0
% 170.34/26.16 | | | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_496_1, all_518_0,
% 170.34/26.16 | | | | | | | | | | | | | all_51_0, all_41_0, all_32_8, simplifying with
% 170.34/26.16 | | | | | | | | | | | | | (58), (62) gives:
% 170.34/26.16 | | | | | | | | | | | | | (115) all_518_0 = all_496_1
% 170.34/26.16 | | | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_530_0, all_542_0,
% 170.34/26.16 | | | | | | | | | | | | | all_51_0, all_41_0, all_32_8, simplifying with
% 170.34/26.16 | | | | | | | | | | | | | (76), (82) gives:
% 170.34/26.16 | | | | | | | | | | | | | (116) all_542_0 = all_530_0
% 170.34/26.16 | | | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_542_0, all_548_1,
% 170.34/26.16 | | | | | | | | | | | | | all_51_0, all_41_0, all_32_8, simplifying with
% 170.34/26.16 | | | | | | | | | | | | | (82), (88) gives:
% 170.34/26.16 | | | | | | | | | | | | | (117) all_548_1 = all_542_0
% 170.34/26.16 | | | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_548_1, all_554_0,
% 170.34/26.16 | | | | | | | | | | | | | all_51_0, all_41_0, all_32_8, simplifying with
% 170.34/26.16 | | | | | | | | | | | | | (88), (95) gives:
% 170.34/26.16 | | | | | | | | | | | | | (118) all_554_0 = all_548_1
% 170.34/26.16 | | | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_554_0, all_578_1,
% 170.34/26.16 | | | | | | | | | | | | | all_51_0, all_41_0, all_32_8, simplifying with
% 170.34/26.16 | | | | | | | | | | | | | (95), (100) gives:
% 170.34/26.16 | | | | | | | | | | | | | (119) all_578_1 = all_554_0
% 170.34/26.16 | | | | | | | | | | | | |
% 170.34/26.16 | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_578_1, all_584_0,
% 170.34/26.16 | | | | | | | | | | | | | all_51_0, all_41_0, all_32_8, simplifying with
% 170.34/26.16 | | | | | | | | | | | | | (100), (105) gives:
% 170.34/26.16 | | | | | | | | | | | | | (120) all_584_0 = all_578_1
% 170.34/26.16 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_443_1, all_584_0,
% 170.34/26.17 | | | | | | | | | | | | | all_51_0, all_41_0, all_32_8, simplifying with
% 170.34/26.17 | | | | | | | | | | | | | (43), (105) gives:
% 170.34/26.17 | | | | | | | | | | | | | (121) all_584_0 = all_443_1
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_542_0, all_602_1,
% 170.34/26.17 | | | | | | | | | | | | | all_51_0, all_41_0, all_32_8, simplifying with
% 170.34/26.17 | | | | | | | | | | | | | (82), (112) gives:
% 170.34/26.17 | | | | | | | | | | | | | (122) all_602_1 = all_542_0
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_524_1, all_602_1,
% 170.34/26.17 | | | | | | | | | | | | | all_51_0, all_41_0, all_32_8, simplifying with
% 170.34/26.17 | | | | | | | | | | | | | (70), (112) gives:
% 170.34/26.17 | | | | | | | | | | | | | (123) all_602_1 = all_524_1
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_518_0, all_602_1,
% 170.34/26.17 | | | | | | | | | | | | | all_51_0, all_41_0, all_32_8, simplifying with
% 170.34/26.17 | | | | | | | | | | | | | (62), (112) gives:
% 170.34/26.17 | | | | | | | | | | | | | (124) all_602_1 = all_518_0
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | GROUND_INST: instantiating (32) with 0, all_490_1, all_123_3,
% 170.34/26.17 | | | | | | | | | | | | | all_41_0, all_32_8, simplifying with (21), (49)
% 170.34/26.17 | | | | | | | | | | | | | gives:
% 170.34/26.17 | | | | | | | | | | | | | (125) all_490_1 = 0
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_490_1, all_496_0,
% 170.34/26.17 | | | | | | | | | | | | | all_123_3, all_41_0, all_32_8, simplifying with
% 170.34/26.17 | | | | | | | | | | | | | (49), (57) gives:
% 170.34/26.17 | | | | | | | | | | | | | (126) all_496_0 = all_490_1
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_496_0, all_518_1,
% 170.34/26.17 | | | | | | | | | | | | | all_123_3, all_41_0, all_32_8, simplifying with
% 170.34/26.17 | | | | | | | | | | | | | (57), (63) gives:
% 170.34/26.17 | | | | | | | | | | | | | (127) all_518_1 = all_496_0
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_518_1, all_554_1,
% 170.34/26.17 | | | | | | | | | | | | | all_123_3, all_41_0, all_32_8, simplifying with
% 170.34/26.17 | | | | | | | | | | | | | (63), (94) gives:
% 170.34/26.17 | | | | | | | | | | | | | (128) all_554_1 = all_518_1
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_443_0, all_554_1,
% 170.34/26.17 | | | | | | | | | | | | | all_123_3, all_41_0, all_32_8, simplifying with
% 170.34/26.17 | | | | | | | | | | | | | (42), (94) gives:
% 170.34/26.17 | | | | | | | | | | | | | (129) all_554_1 = all_443_0
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | COMBINE_EQS: (122), (123) imply:
% 170.34/26.17 | | | | | | | | | | | | | (130) all_542_0 = all_524_1
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | SIMP: (130) implies:
% 170.34/26.17 | | | | | | | | | | | | | (131) all_542_0 = all_524_1
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | COMBINE_EQS: (123), (124) imply:
% 170.34/26.17 | | | | | | | | | | | | | (132) all_524_1 = all_518_0
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | COMBINE_EQS: (120), (121) imply:
% 170.34/26.17 | | | | | | | | | | | | | (133) all_578_1 = all_443_1
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | SIMP: (133) implies:
% 170.34/26.17 | | | | | | | | | | | | | (134) all_578_1 = all_443_1
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | COMBINE_EQS: (119), (134) imply:
% 170.34/26.17 | | | | | | | | | | | | | (135) all_554_0 = all_443_1
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | SIMP: (135) implies:
% 170.34/26.17 | | | | | | | | | | | | | (136) all_554_0 = all_443_1
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | COMBINE_EQS: (118), (136) imply:
% 170.34/26.17 | | | | | | | | | | | | | (137) all_548_1 = all_443_1
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | SIMP: (137) implies:
% 170.34/26.17 | | | | | | | | | | | | | (138) all_548_1 = all_443_1
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | COMBINE_EQS: (128), (129) imply:
% 170.34/26.17 | | | | | | | | | | | | | (139) all_518_1 = all_443_0
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | SIMP: (139) implies:
% 170.34/26.17 | | | | | | | | | | | | | (140) all_518_1 = all_443_0
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | COMBINE_EQS: (117), (138) imply:
% 170.34/26.17 | | | | | | | | | | | | | (141) all_542_0 = all_443_1
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | SIMP: (141) implies:
% 170.34/26.17 | | | | | | | | | | | | | (142) all_542_0 = all_443_1
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | COMBINE_EQS: (116), (131) imply:
% 170.34/26.17 | | | | | | | | | | | | | (143) all_530_0 = all_524_1
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | COMBINE_EQS: (116), (142) imply:
% 170.34/26.17 | | | | | | | | | | | | | (144) all_530_0 = all_443_1
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | COMBINE_EQS: (143), (144) imply:
% 170.34/26.17 | | | | | | | | | | | | | (145) all_524_1 = all_443_1
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | SIMP: (145) implies:
% 170.34/26.17 | | | | | | | | | | | | | (146) all_524_1 = all_443_1
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | COMBINE_EQS: (132), (146) imply:
% 170.34/26.17 | | | | | | | | | | | | | (147) all_518_0 = all_443_1
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | SIMP: (147) implies:
% 170.34/26.17 | | | | | | | | | | | | | (148) all_518_0 = all_443_1
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | COMBINE_EQS: (115), (148) imply:
% 170.34/26.17 | | | | | | | | | | | | | (149) all_496_1 = all_443_1
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | SIMP: (149) implies:
% 170.34/26.17 | | | | | | | | | | | | | (150) all_496_1 = all_443_1
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | COMBINE_EQS: (127), (140) imply:
% 170.34/26.17 | | | | | | | | | | | | | (151) all_496_0 = all_443_0
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | SIMP: (151) implies:
% 170.34/26.17 | | | | | | | | | | | | | (152) all_496_0 = all_443_0
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | COMBINE_EQS: (126), (152) imply:
% 170.34/26.17 | | | | | | | | | | | | | (153) all_490_1 = all_443_0
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | SIMP: (153) implies:
% 170.34/26.17 | | | | | | | | | | | | | (154) all_490_1 = all_443_0
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | COMBINE_EQS: (114), (150) imply:
% 170.34/26.17 | | | | | | | | | | | | | (155) all_490_0 = all_443_1
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | SIMP: (155) implies:
% 170.34/26.17 | | | | | | | | | | | | | (156) all_490_0 = all_443_1
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | COMBINE_EQS: (113), (156) imply:
% 170.34/26.17 | | | | | | | | | | | | | (157) all_443_1 = 0
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | COMBINE_EQS: (125), (154) imply:
% 170.34/26.17 | | | | | | | | | | | | | (158) all_443_0 = 0
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | COMBINE_EQS: (150), (157) imply:
% 170.34/26.17 | | | | | | | | | | | | | (159) all_496_1 = 0
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | COMBINE_EQS: (152), (158) imply:
% 170.34/26.17 | | | | | | | | | | | | | (160) all_496_0 = 0
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | BETA: splitting (56) gives:
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | Case 1:
% 170.34/26.17 | | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | | (161) ~ (all_496_0 = 0)
% 170.34/26.17 | | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | | REDUCE: (160), (161) imply:
% 170.34/26.17 | | | | | | | | | | | | | | (162) $false
% 170.34/26.17 | | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | | CLOSE: (162) is inconsistent.
% 170.34/26.17 | | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | Case 2:
% 170.34/26.17 | | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | | (163) ~ (all_496_1 = 0)
% 170.34/26.17 | | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | | REDUCE: (159), (163) imply:
% 170.34/26.17 | | | | | | | | | | | | | | (164) $false
% 170.34/26.17 | | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | | CLOSE: (164) is inconsistent.
% 170.34/26.17 | | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | | End of split
% 170.34/26.17 | | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | | End of split
% 170.34/26.17 | | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | | End of split
% 170.34/26.17 | | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | | End of split
% 170.34/26.17 | | | | | | | | | |
% 170.34/26.17 | | | | | | | | | End of split
% 170.34/26.17 | | | | | | | | |
% 170.34/26.17 | | | | | | | | End of split
% 170.34/26.17 | | | | | | | |
% 170.34/26.17 | | | | | | | End of split
% 170.34/26.17 | | | | | | |
% 170.34/26.17 | | | | | | End of split
% 170.34/26.17 | | | | | |
% 170.34/26.17 | | | | | End of split
% 170.34/26.17 | | | | |
% 170.34/26.17 | | | | End of split
% 170.34/26.17 | | | |
% 170.34/26.17 | | | End of split
% 170.34/26.17 | | |
% 170.34/26.17 | | End of split
% 170.34/26.17 | |
% 170.34/26.17 | End of split
% 170.34/26.17 |
% 170.34/26.17 End of proof
% 170.34/26.17
% 170.34/26.17 Sub-proof #4 shows that the following formulas are inconsistent:
% 170.34/26.17 ----------------------------------------------------------------
% 170.34/26.17 (1) all_123_3 = all_41_2 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 170.34/26.17 (apply(all_32_8, all_119_3, all_123_3) = v2 & member(all_119_3, all_32_5)
% 170.34/26.17 = v0 & member(all_41_2, all_32_4) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) |
% 170.34/26.17 ~ (v0 = 0)))
% 170.34/26.17 (2) all_51_0 = all_49_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.17 all_55_0, all_51_0) = v0 & apply(all_32_8, all_55_0, all_49_0) = v1 &
% 170.34/26.17 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.17 (3) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 170.34/26.17 ! [v3: $i] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) =
% 170.34/26.17 v0))
% 170.34/26.17 (4) all_51_0 = all_49_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.17 all_41_0, all_51_0) = v0 & apply(all_32_8, all_41_0, all_49_0) = v1 &
% 170.34/26.17 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.17 (5) all_123_3 = all_121_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.17 all_41_0, all_123_3) = v0 & apply(all_32_8, all_41_0, all_121_3) = v1
% 170.34/26.17 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.17 (6) all_51_0 = all_41_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.17 all_55_0, all_51_0) = v0 & apply(all_32_8, all_55_0, all_41_2) = v1 &
% 170.34/26.17 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.17 (7) all_117_0 = all_41_0
% 170.34/26.17 (8) apply(all_32_8, all_41_0, all_41_2) = 0
% 170.34/26.17 (9) all_111_0 = all_41_2 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 170.34/26.17 (apply(all_32_8, all_41_0, all_41_2) = v2 & member(all_111_0, all_32_4) =
% 170.34/26.17 v1 & member(all_41_0, all_32_5) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 170.34/26.17 (v0 = 0)))
% 170.34/26.17 (10) all_123_3 = all_121_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.17 all_117_0, all_123_3) = v0 & apply(all_32_8, all_117_0, all_121_3) =
% 170.34/26.17 v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.17 (11) all_123_3 = all_121_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.17 all_119_3, all_123_3) = v1 & apply(all_32_8, all_119_3, all_121_3) =
% 170.34/26.17 v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.17 (12) all_111_0 = all_51_0
% 170.34/26.17 (13) all_51_0 = all_49_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.17 all_55_0, all_51_0) = v1 & apply(all_32_8, all_55_0, all_49_0) = v0
% 170.34/26.17 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.17 (14) member(all_41_0, all_32_5) = 0
% 170.34/26.17 (15) all_51_0 = all_41_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.17 all_55_0, all_51_0) = v1 & apply(all_32_8, all_55_0, all_41_2) = v0
% 170.34/26.17 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.17 (16) member(all_51_0, all_32_4) = 0
% 170.34/26.17 (17) all_123_3 = all_121_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.17 all_41_0, all_123_3) = v1 & apply(all_32_8, all_41_0, all_121_3) =
% 170.34/26.17 v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.17 (18) all_121_3 = all_41_2
% 170.34/26.17 (19) all_119_3 = all_41_0
% 170.34/26.17 (20) all_55_0 = all_41_0
% 170.34/26.17 (21) all_49_0 = all_41_2
% 170.34/26.17 (22) all_51_0 = all_49_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.17 all_41_0, all_51_0) = v1 & apply(all_32_8, all_41_0, all_49_0) = v0
% 170.34/26.17 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.17 (23) all_51_0 = all_49_0 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 170.34/26.17 (apply(all_32_8, all_41_0, all_49_0) = v2 & member(all_51_0, all_32_4) =
% 170.34/26.17 v1 & member(all_41_0, all_32_5) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 170.34/26.17 (v0 = 0)))
% 170.34/26.17 (24) all_123_3 = all_121_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.17 all_119_3, all_123_3) = v0 & apply(all_32_8, all_119_3, all_121_3) =
% 170.34/26.17 v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.17 (25) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 170.34/26.17 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | ~
% 170.34/26.17 (apply(v4, v3, v2) = v0))
% 170.34/26.17 (26) ~ (all_51_0 = all_41_2)
% 170.34/26.18 (27) all_123_3 = all_51_0
% 170.34/26.18 (28) all_51_0 = all_41_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.18 all_41_0, all_51_0) = v1 & apply(all_32_8, all_41_0, all_41_2) = v0
% 170.34/26.18 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.18 (29) all_51_0 = all_41_2 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 170.34/26.18 (apply(all_32_8, all_41_0, all_41_2) = v2 & member(all_51_0, all_32_4) =
% 170.34/26.18 v1 & member(all_41_0, all_32_5) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 170.34/26.18 (v0 = 0)))
% 170.34/26.18
% 170.34/26.18 Begin of proof
% 170.34/26.18 |
% 170.34/26.18 | BETA: splitting (9) gives:
% 170.34/26.18 |
% 170.34/26.18 | Case 1:
% 170.34/26.18 | |
% 170.34/26.18 | | (30) all_111_0 = all_41_2
% 170.34/26.18 | |
% 170.34/26.18 | | COMBINE_EQS: (12), (30) imply:
% 170.34/26.18 | | (31) all_51_0 = all_41_2
% 170.34/26.18 | |
% 170.34/26.18 | | SIMP: (31) implies:
% 170.34/26.18 | | (32) all_51_0 = all_41_2
% 170.34/26.18 | |
% 170.34/26.18 | | REDUCE: (26), (32) imply:
% 170.34/26.18 | | (33) $false
% 170.34/26.18 | |
% 170.34/26.18 | | CLOSE: (33) is inconsistent.
% 170.34/26.18 | |
% 170.34/26.18 | Case 2:
% 170.34/26.18 | |
% 170.34/26.18 | | (34) ~ (all_111_0 = all_41_2)
% 170.34/26.18 | | (35) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_32_8,
% 170.34/26.18 | | all_41_0, all_41_2) = v2 & member(all_111_0, all_32_4) = v1 &
% 170.34/26.18 | | member(all_41_0, all_32_5) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 170.34/26.18 | | (v0 = 0)))
% 170.34/26.18 | |
% 170.34/26.18 | | DELTA: instantiating (35) with fresh symbols all_441_0, all_441_1, all_441_2
% 170.34/26.18 | | gives:
% 170.34/26.18 | | (36) apply(all_32_8, all_41_0, all_41_2) = all_441_0 & member(all_111_0,
% 170.34/26.18 | | all_32_4) = all_441_1 & member(all_41_0, all_32_5) = all_441_2 & (
% 170.34/26.18 | | ~ (all_441_0 = 0) | ~ (all_441_1 = 0) | ~ (all_441_2 = 0))
% 170.34/26.18 | |
% 170.34/26.18 | | ALPHA: (36) implies:
% 170.34/26.18 | | (37) member(all_41_0, all_32_5) = all_441_2
% 170.34/26.18 | |
% 170.34/26.18 | | BETA: splitting (1) gives:
% 170.34/26.18 | |
% 170.34/26.18 | | Case 1:
% 170.34/26.18 | | |
% 170.34/26.18 | | | (38) all_123_3 = all_41_2
% 170.34/26.18 | | |
% 170.34/26.18 | | | COMBINE_EQS: (27), (38) imply:
% 170.34/26.18 | | | (39) all_51_0 = all_41_2
% 170.34/26.18 | | |
% 170.34/26.18 | | | SIMP: (39) implies:
% 170.34/26.18 | | | (40) all_51_0 = all_41_2
% 170.34/26.18 | | |
% 170.34/26.18 | | | REDUCE: (26), (40) imply:
% 170.34/26.18 | | | (41) $false
% 170.34/26.18 | | |
% 170.34/26.18 | | | CLOSE: (41) is inconsistent.
% 170.34/26.18 | | |
% 170.34/26.18 | | Case 2:
% 170.34/26.18 | | |
% 170.34/26.18 | | | (42) ~ (all_123_3 = all_41_2)
% 170.34/26.18 | | | (43) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_32_8,
% 170.34/26.18 | | | all_119_3, all_123_3) = v2 & member(all_119_3, all_32_5) = v0
% 170.34/26.18 | | | & member(all_41_2, all_32_4) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) |
% 170.34/26.18 | | | ~ (v0 = 0)))
% 170.34/26.18 | | |
% 170.34/26.18 | | | DELTA: instantiating (43) with fresh symbols all_457_0, all_457_1,
% 170.34/26.18 | | | all_457_2 gives:
% 170.34/26.18 | | | (44) apply(all_32_8, all_119_3, all_123_3) = all_457_0 &
% 170.34/26.18 | | | member(all_119_3, all_32_5) = all_457_2 & member(all_41_2,
% 170.34/26.18 | | | all_32_4) = all_457_1 & ( ~ (all_457_0 = 0) | ~ (all_457_1 = 0)
% 170.34/26.18 | | | | ~ (all_457_2 = 0))
% 170.34/26.18 | | |
% 170.34/26.18 | | | ALPHA: (44) implies:
% 170.34/26.18 | | | (45) member(all_119_3, all_32_5) = all_457_2
% 170.34/26.18 | | |
% 170.34/26.18 | | | REDUCE: (19), (45) imply:
% 170.34/26.18 | | | (46) member(all_41_0, all_32_5) = all_457_2
% 170.34/26.18 | | |
% 170.34/26.18 | | | BETA: splitting (17) gives:
% 170.34/26.18 | | |
% 170.34/26.18 | | | Case 1:
% 170.34/26.18 | | | |
% 170.34/26.18 | | | | (47) all_123_3 = all_121_3
% 170.34/26.18 | | | |
% 170.34/26.18 | | | | COMBINE_EQS: (27), (47) imply:
% 170.34/26.18 | | | | (48) all_121_3 = all_51_0
% 170.34/26.18 | | | |
% 170.34/26.18 | | | | COMBINE_EQS: (18), (48) imply:
% 170.34/26.18 | | | | (49) all_51_0 = all_41_2
% 170.34/26.18 | | | |
% 170.34/26.18 | | | | SIMP: (49) implies:
% 170.34/26.18 | | | | (50) all_51_0 = all_41_2
% 170.34/26.18 | | | |
% 170.34/26.18 | | | | REDUCE: (26), (50) imply:
% 170.34/26.18 | | | | (51) $false
% 170.34/26.18 | | | |
% 170.34/26.18 | | | | CLOSE: (51) is inconsistent.
% 170.34/26.18 | | | |
% 170.34/26.18 | | | Case 2:
% 170.34/26.18 | | | |
% 170.34/26.18 | | | | (52) ~ (all_123_3 = all_121_3)
% 170.34/26.18 | | | | (53) ? [v0: any] : ? [v1: any] : (apply(all_32_8, all_41_0,
% 170.34/26.18 | | | | all_123_3) = v1 & apply(all_32_8, all_41_0, all_121_3) = v0
% 170.34/26.18 | | | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.18 | | | |
% 170.34/26.18 | | | | DELTA: instantiating (53) with fresh symbols all_481_0, all_481_1 gives:
% 170.34/26.18 | | | | (54) apply(all_32_8, all_41_0, all_123_3) = all_481_0 &
% 170.34/26.18 | | | | apply(all_32_8, all_41_0, all_121_3) = all_481_1 & ( ~
% 170.34/26.18 | | | | (all_481_0 = 0) | ~ (all_481_1 = 0))
% 170.34/26.18 | | | |
% 170.34/26.18 | | | | ALPHA: (54) implies:
% 170.34/26.18 | | | | (55) apply(all_32_8, all_41_0, all_121_3) = all_481_1
% 170.34/26.18 | | | |
% 170.34/26.18 | | | | REDUCE: (18), (55) imply:
% 170.34/26.18 | | | | (56) apply(all_32_8, all_41_0, all_41_2) = all_481_1
% 170.34/26.18 | | | |
% 170.34/26.18 | | | | BETA: splitting (4) gives:
% 170.34/26.18 | | | |
% 170.34/26.18 | | | | Case 1:
% 170.34/26.18 | | | | |
% 170.34/26.18 | | | | | (57) all_51_0 = all_49_0
% 170.34/26.18 | | | | |
% 170.34/26.18 | | | | | COMBINE_EQS: (21), (57) imply:
% 170.34/26.18 | | | | | (58) all_51_0 = all_41_2
% 170.34/26.18 | | | | |
% 170.34/26.18 | | | | | REDUCE: (26), (58) imply:
% 170.34/26.18 | | | | | (59) $false
% 170.34/26.18 | | | | |
% 170.34/26.18 | | | | | CLOSE: (59) is inconsistent.
% 170.34/26.18 | | | | |
% 170.34/26.18 | | | | Case 2:
% 170.34/26.18 | | | | |
% 170.34/26.18 | | | | | (60) ~ (all_51_0 = all_49_0)
% 170.34/26.18 | | | | | (61) ? [v0: any] : ? [v1: any] : (apply(all_32_8, all_41_0,
% 170.34/26.18 | | | | | all_51_0) = v0 & apply(all_32_8, all_41_0, all_49_0) = v1
% 170.34/26.18 | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.18 | | | | |
% 170.34/26.18 | | | | | DELTA: instantiating (61) with fresh symbols all_505_0, all_505_1
% 170.34/26.18 | | | | | gives:
% 170.34/26.18 | | | | | (62) apply(all_32_8, all_41_0, all_51_0) = all_505_1 &
% 170.34/26.18 | | | | | apply(all_32_8, all_41_0, all_49_0) = all_505_0 & ( ~
% 170.34/26.18 | | | | | (all_505_0 = 0) | ~ (all_505_1 = 0))
% 170.34/26.18 | | | | |
% 170.34/26.18 | | | | | ALPHA: (62) implies:
% 170.34/26.18 | | | | | (63) apply(all_32_8, all_41_0, all_49_0) = all_505_0
% 170.34/26.18 | | | | |
% 170.34/26.18 | | | | | REDUCE: (21), (63) imply:
% 170.34/26.18 | | | | | (64) apply(all_32_8, all_41_0, all_41_2) = all_505_0
% 170.34/26.18 | | | | |
% 170.34/26.18 | | | | | BETA: splitting (22) gives:
% 170.34/26.18 | | | | |
% 170.34/26.18 | | | | | Case 1:
% 170.34/26.18 | | | | | |
% 170.34/26.18 | | | | | | (65) all_51_0 = all_49_0
% 170.34/26.18 | | | | | |
% 170.34/26.18 | | | | | | COMBINE_EQS: (21), (65) imply:
% 170.34/26.18 | | | | | | (66) all_51_0 = all_41_2
% 170.34/26.18 | | | | | |
% 170.34/26.18 | | | | | | REDUCE: (26), (66) imply:
% 170.34/26.18 | | | | | | (67) $false
% 170.34/26.18 | | | | | |
% 170.34/26.18 | | | | | | CLOSE: (67) is inconsistent.
% 170.34/26.18 | | | | | |
% 170.34/26.18 | | | | | Case 2:
% 170.34/26.18 | | | | | |
% 170.34/26.18 | | | | | | (68) ? [v0: any] : ? [v1: any] : (apply(all_32_8, all_41_0,
% 170.34/26.18 | | | | | | all_51_0) = v1 & apply(all_32_8, all_41_0, all_49_0) =
% 170.34/26.18 | | | | | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.18 | | | | | |
% 170.34/26.18 | | | | | | DELTA: instantiating (68) with fresh symbols all_511_0, all_511_1
% 170.34/26.18 | | | | | | gives:
% 170.34/26.18 | | | | | | (69) apply(all_32_8, all_41_0, all_51_0) = all_511_0 &
% 170.34/26.18 | | | | | | apply(all_32_8, all_41_0, all_49_0) = all_511_1 & ( ~
% 170.34/26.18 | | | | | | (all_511_0 = 0) | ~ (all_511_1 = 0))
% 170.34/26.18 | | | | | |
% 170.34/26.18 | | | | | | ALPHA: (69) implies:
% 170.34/26.18 | | | | | | (70) apply(all_32_8, all_41_0, all_49_0) = all_511_1
% 170.34/26.18 | | | | | |
% 170.34/26.18 | | | | | | REDUCE: (21), (70) imply:
% 170.34/26.18 | | | | | | (71) apply(all_32_8, all_41_0, all_41_2) = all_511_1
% 170.34/26.18 | | | | | |
% 170.34/26.18 | | | | | | BETA: splitting (24) gives:
% 170.34/26.18 | | | | | |
% 170.34/26.18 | | | | | | Case 1:
% 170.34/26.18 | | | | | | |
% 170.34/26.18 | | | | | | | (72) all_123_3 = all_121_3
% 170.34/26.18 | | | | | | |
% 170.34/26.18 | | | | | | | COMBINE_EQS: (27), (72) imply:
% 170.34/26.18 | | | | | | | (73) all_121_3 = all_51_0
% 170.34/26.18 | | | | | | |
% 170.34/26.18 | | | | | | | COMBINE_EQS: (18), (73) imply:
% 170.34/26.18 | | | | | | | (74) all_51_0 = all_41_2
% 170.34/26.18 | | | | | | |
% 170.34/26.18 | | | | | | | SIMP: (74) implies:
% 170.34/26.18 | | | | | | | (75) all_51_0 = all_41_2
% 170.34/26.18 | | | | | | |
% 170.34/26.18 | | | | | | | REDUCE: (26), (75) imply:
% 170.34/26.18 | | | | | | | (76) $false
% 170.34/26.18 | | | | | | |
% 170.34/26.18 | | | | | | | CLOSE: (76) is inconsistent.
% 170.34/26.18 | | | | | | |
% 170.34/26.18 | | | | | | Case 2:
% 170.34/26.18 | | | | | | |
% 170.34/26.18 | | | | | | | (77) ? [v0: any] : ? [v1: any] : (apply(all_32_8, all_119_3,
% 170.34/26.18 | | | | | | | all_123_3) = v0 & apply(all_32_8, all_119_3,
% 170.34/26.18 | | | | | | | all_121_3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.18 | | | | | | |
% 170.34/26.18 | | | | | | | DELTA: instantiating (77) with fresh symbols all_517_0, all_517_1
% 170.34/26.18 | | | | | | | gives:
% 170.34/26.18 | | | | | | | (78) apply(all_32_8, all_119_3, all_123_3) = all_517_1 &
% 170.34/26.18 | | | | | | | apply(all_32_8, all_119_3, all_121_3) = all_517_0 & ( ~
% 170.34/26.18 | | | | | | | (all_517_0 = 0) | ~ (all_517_1 = 0))
% 170.34/26.18 | | | | | | |
% 170.34/26.18 | | | | | | | ALPHA: (78) implies:
% 170.34/26.18 | | | | | | | (79) apply(all_32_8, all_119_3, all_121_3) = all_517_0
% 170.34/26.18 | | | | | | |
% 170.34/26.18 | | | | | | | REDUCE: (18), (19), (79) imply:
% 170.34/26.18 | | | | | | | (80) apply(all_32_8, all_41_0, all_41_2) = all_517_0
% 170.34/26.18 | | | | | | |
% 170.34/26.18 | | | | | | | BETA: splitting (10) gives:
% 170.34/26.18 | | | | | | |
% 170.34/26.18 | | | | | | | Case 1:
% 170.34/26.18 | | | | | | | |
% 170.34/26.18 | | | | | | | | (81) all_123_3 = all_121_3
% 170.34/26.18 | | | | | | | |
% 170.34/26.18 | | | | | | | | COMBINE_EQS: (27), (81) imply:
% 170.34/26.18 | | | | | | | | (82) all_121_3 = all_51_0
% 170.34/26.18 | | | | | | | |
% 170.34/26.18 | | | | | | | | COMBINE_EQS: (18), (82) imply:
% 170.34/26.18 | | | | | | | | (83) all_51_0 = all_41_2
% 170.34/26.18 | | | | | | | |
% 170.34/26.18 | | | | | | | | SIMP: (83) implies:
% 170.34/26.18 | | | | | | | | (84) all_51_0 = all_41_2
% 170.34/26.18 | | | | | | | |
% 170.34/26.18 | | | | | | | | REDUCE: (26), (84) imply:
% 170.34/26.18 | | | | | | | | (85) $false
% 170.34/26.18 | | | | | | | |
% 170.34/26.18 | | | | | | | | CLOSE: (85) is inconsistent.
% 170.34/26.18 | | | | | | | |
% 170.34/26.18 | | | | | | | Case 2:
% 170.34/26.18 | | | | | | | |
% 170.34/26.18 | | | | | | | | (86) ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.18 | | | | | | | | all_117_0, all_123_3) = v0 & apply(all_32_8,
% 170.34/26.18 | | | | | | | | all_117_0, all_121_3) = v1 & ( ~ (v1 = 0) | ~ (v0 =
% 170.34/26.18 | | | | | | | | 0)))
% 170.34/26.18 | | | | | | | |
% 170.34/26.18 | | | | | | | | DELTA: instantiating (86) with fresh symbols all_523_0,
% 170.34/26.18 | | | | | | | | all_523_1 gives:
% 170.34/26.18 | | | | | | | | (87) apply(all_32_8, all_117_0, all_123_3) = all_523_1 &
% 170.34/26.18 | | | | | | | | apply(all_32_8, all_117_0, all_121_3) = all_523_0 & ( ~
% 170.34/26.18 | | | | | | | | (all_523_0 = 0) | ~ (all_523_1 = 0))
% 170.34/26.18 | | | | | | | |
% 170.34/26.18 | | | | | | | | ALPHA: (87) implies:
% 170.34/26.18 | | | | | | | | (88) apply(all_32_8, all_117_0, all_121_3) = all_523_0
% 170.34/26.18 | | | | | | | |
% 170.34/26.18 | | | | | | | | REDUCE: (7), (18), (88) imply:
% 170.34/26.18 | | | | | | | | (89) apply(all_32_8, all_41_0, all_41_2) = all_523_0
% 170.34/26.18 | | | | | | | |
% 170.34/26.18 | | | | | | | | BETA: splitting (11) gives:
% 170.34/26.18 | | | | | | | |
% 170.34/26.18 | | | | | | | | Case 1:
% 170.34/26.18 | | | | | | | | |
% 170.34/26.18 | | | | | | | | | (90) all_123_3 = all_121_3
% 170.34/26.18 | | | | | | | | |
% 170.34/26.18 | | | | | | | | | COMBINE_EQS: (27), (90) imply:
% 170.34/26.18 | | | | | | | | | (91) all_121_3 = all_51_0
% 170.34/26.18 | | | | | | | | |
% 170.34/26.18 | | | | | | | | | COMBINE_EQS: (18), (91) imply:
% 170.34/26.18 | | | | | | | | | (92) all_51_0 = all_41_2
% 170.34/26.18 | | | | | | | | |
% 170.34/26.18 | | | | | | | | | SIMP: (92) implies:
% 170.34/26.18 | | | | | | | | | (93) all_51_0 = all_41_2
% 170.34/26.18 | | | | | | | | |
% 170.34/26.18 | | | | | | | | | REDUCE: (26), (93) imply:
% 170.34/26.18 | | | | | | | | | (94) $false
% 170.34/26.18 | | | | | | | | |
% 170.34/26.18 | | | | | | | | | CLOSE: (94) is inconsistent.
% 170.34/26.18 | | | | | | | | |
% 170.34/26.18 | | | | | | | | Case 2:
% 170.34/26.18 | | | | | | | | |
% 170.34/26.18 | | | | | | | | | (95) ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.18 | | | | | | | | | all_119_3, all_123_3) = v1 & apply(all_32_8,
% 170.34/26.18 | | | | | | | | | all_119_3, all_121_3) = v0 & ( ~ (v1 = 0) | ~ (v0
% 170.34/26.18 | | | | | | | | | = 0)))
% 170.34/26.18 | | | | | | | | |
% 170.34/26.18 | | | | | | | | | DELTA: instantiating (95) with fresh symbols all_529_0,
% 170.34/26.18 | | | | | | | | | all_529_1 gives:
% 170.34/26.19 | | | | | | | | | (96) apply(all_32_8, all_119_3, all_123_3) = all_529_0 &
% 170.34/26.19 | | | | | | | | | apply(all_32_8, all_119_3, all_121_3) = all_529_1 & (
% 170.34/26.19 | | | | | | | | | ~ (all_529_0 = 0) | ~ (all_529_1 = 0))
% 170.34/26.19 | | | | | | | | |
% 170.34/26.19 | | | | | | | | | ALPHA: (96) implies:
% 170.34/26.19 | | | | | | | | | (97) apply(all_32_8, all_119_3, all_121_3) = all_529_1
% 170.34/26.19 | | | | | | | | |
% 170.34/26.19 | | | | | | | | | REDUCE: (18), (19), (97) imply:
% 170.34/26.19 | | | | | | | | | (98) apply(all_32_8, all_41_0, all_41_2) = all_529_1
% 170.34/26.19 | | | | | | | | |
% 170.34/26.19 | | | | | | | | | BETA: splitting (5) gives:
% 170.34/26.19 | | | | | | | | |
% 170.34/26.19 | | | | | | | | | Case 1:
% 170.34/26.19 | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | (99) all_123_3 = all_121_3
% 170.34/26.19 | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | COMBINE_EQS: (27), (99) imply:
% 170.34/26.19 | | | | | | | | | | (100) all_121_3 = all_51_0
% 170.34/26.19 | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | COMBINE_EQS: (18), (100) imply:
% 170.34/26.19 | | | | | | | | | | (101) all_51_0 = all_41_2
% 170.34/26.19 | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | SIMP: (101) implies:
% 170.34/26.19 | | | | | | | | | | (102) all_51_0 = all_41_2
% 170.34/26.19 | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | REDUCE: (26), (102) imply:
% 170.34/26.19 | | | | | | | | | | (103) $false
% 170.34/26.19 | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | CLOSE: (103) is inconsistent.
% 170.34/26.19 | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | Case 2:
% 170.34/26.19 | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | (104) ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.19 | | | | | | | | | | all_41_0, all_123_3) = v0 & apply(all_32_8,
% 170.34/26.19 | | | | | | | | | | all_41_0, all_121_3) = v1 & ( ~ (v1 = 0) | ~
% 170.34/26.19 | | | | | | | | | | (v0 = 0)))
% 170.34/26.19 | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | DELTA: instantiating (104) with fresh symbols all_535_0,
% 170.34/26.19 | | | | | | | | | | all_535_1 gives:
% 170.34/26.19 | | | | | | | | | | (105) apply(all_32_8, all_41_0, all_123_3) = all_535_1 &
% 170.34/26.19 | | | | | | | | | | apply(all_32_8, all_41_0, all_121_3) = all_535_0 &
% 170.34/26.19 | | | | | | | | | | ( ~ (all_535_0 = 0) | ~ (all_535_1 = 0))
% 170.34/26.19 | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | ALPHA: (105) implies:
% 170.34/26.19 | | | | | | | | | | (106) apply(all_32_8, all_41_0, all_121_3) = all_535_0
% 170.34/26.19 | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | REDUCE: (18), (106) imply:
% 170.34/26.19 | | | | | | | | | | (107) apply(all_32_8, all_41_0, all_41_2) = all_535_0
% 170.34/26.19 | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | BETA: splitting (13) gives:
% 170.34/26.19 | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | Case 1:
% 170.34/26.19 | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | (108) all_51_0 = all_49_0
% 170.34/26.19 | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | COMBINE_EQS: (21), (108) imply:
% 170.34/26.19 | | | | | | | | | | | (109) all_51_0 = all_41_2
% 170.34/26.19 | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | REDUCE: (26), (109) imply:
% 170.34/26.19 | | | | | | | | | | | (110) $false
% 170.34/26.19 | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | CLOSE: (110) is inconsistent.
% 170.34/26.19 | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | Case 2:
% 170.34/26.19 | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | (111) ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.19 | | | | | | | | | | | all_55_0, all_51_0) = v1 & apply(all_32_8,
% 170.34/26.19 | | | | | | | | | | | all_55_0, all_49_0) = v0 & ( ~ (v1 = 0) | ~
% 170.34/26.19 | | | | | | | | | | | (v0 = 0)))
% 170.34/26.19 | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | DELTA: instantiating (111) with fresh symbols all_541_0,
% 170.34/26.19 | | | | | | | | | | | all_541_1 gives:
% 170.34/26.19 | | | | | | | | | | | (112) apply(all_32_8, all_55_0, all_51_0) = all_541_0 &
% 170.34/26.19 | | | | | | | | | | | apply(all_32_8, all_55_0, all_49_0) = all_541_1 &
% 170.34/26.19 | | | | | | | | | | | ( ~ (all_541_0 = 0) | ~ (all_541_1 = 0))
% 170.34/26.19 | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | ALPHA: (112) implies:
% 170.34/26.19 | | | | | | | | | | | (113) apply(all_32_8, all_55_0, all_49_0) = all_541_1
% 170.34/26.19 | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | REDUCE: (20), (21), (113) imply:
% 170.34/26.19 | | | | | | | | | | | (114) apply(all_32_8, all_41_0, all_41_2) = all_541_1
% 170.34/26.19 | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | BETA: splitting (15) gives:
% 170.34/26.19 | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | Case 1:
% 170.34/26.19 | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | (115) all_51_0 = all_41_2
% 170.34/26.19 | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | REDUCE: (26), (115) imply:
% 170.34/26.19 | | | | | | | | | | | | (116) $false
% 170.34/26.19 | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | CLOSE: (116) is inconsistent.
% 170.34/26.19 | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | Case 2:
% 170.34/26.19 | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | (117) ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.19 | | | | | | | | | | | | all_55_0, all_51_0) = v1 & apply(all_32_8,
% 170.34/26.19 | | | | | | | | | | | | all_55_0, all_41_2) = v0 & ( ~ (v1 = 0) | ~
% 170.34/26.19 | | | | | | | | | | | | (v0 = 0)))
% 170.34/26.19 | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | DELTA: instantiating (117) with fresh symbols all_547_0,
% 170.34/26.19 | | | | | | | | | | | | all_547_1 gives:
% 170.34/26.19 | | | | | | | | | | | | (118) apply(all_32_8, all_55_0, all_51_0) = all_547_0 &
% 170.34/26.19 | | | | | | | | | | | | apply(all_32_8, all_55_0, all_41_2) = all_547_1 &
% 170.34/26.19 | | | | | | | | | | | | ( ~ (all_547_0 = 0) | ~ (all_547_1 = 0))
% 170.34/26.19 | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | ALPHA: (118) implies:
% 170.34/26.19 | | | | | | | | | | | | (119) apply(all_32_8, all_55_0, all_41_2) = all_547_1
% 170.34/26.19 | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | REDUCE: (20), (119) imply:
% 170.34/26.19 | | | | | | | | | | | | (120) apply(all_32_8, all_41_0, all_41_2) = all_547_1
% 170.34/26.19 | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | BETA: splitting (6) gives:
% 170.34/26.19 | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | Case 1:
% 170.34/26.19 | | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | | (121) all_51_0 = all_41_2
% 170.34/26.19 | | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | | REDUCE: (26), (121) imply:
% 170.34/26.19 | | | | | | | | | | | | | (122) $false
% 170.34/26.19 | | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | | CLOSE: (122) is inconsistent.
% 170.34/26.19 | | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | Case 2:
% 170.34/26.19 | | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | | (123) ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.19 | | | | | | | | | | | | | all_55_0, all_51_0) = v0 & apply(all_32_8,
% 170.34/26.19 | | | | | | | | | | | | | all_55_0, all_41_2) = v1 & ( ~ (v1 = 0) | ~
% 170.34/26.19 | | | | | | | | | | | | | (v0 = 0)))
% 170.34/26.19 | | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | | DELTA: instantiating (123) with fresh symbols all_553_0,
% 170.34/26.19 | | | | | | | | | | | | | all_553_1 gives:
% 170.34/26.19 | | | | | | | | | | | | | (124) apply(all_32_8, all_55_0, all_51_0) = all_553_1 &
% 170.34/26.19 | | | | | | | | | | | | | apply(all_32_8, all_55_0, all_41_2) = all_553_0 &
% 170.34/26.19 | | | | | | | | | | | | | ( ~ (all_553_0 = 0) | ~ (all_553_1 = 0))
% 170.34/26.19 | | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | | ALPHA: (124) implies:
% 170.34/26.19 | | | | | | | | | | | | | (125) apply(all_32_8, all_55_0, all_41_2) = all_553_0
% 170.34/26.19 | | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | | REDUCE: (20), (125) imply:
% 170.34/26.19 | | | | | | | | | | | | | (126) apply(all_32_8, all_41_0, all_41_2) = all_553_0
% 170.34/26.19 | | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | | BETA: splitting (23) gives:
% 170.34/26.19 | | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | | Case 1:
% 170.34/26.19 | | | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | | | (127) all_51_0 = all_49_0
% 170.34/26.19 | | | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | | | COMBINE_EQS: (21), (127) imply:
% 170.34/26.19 | | | | | | | | | | | | | | (128) all_51_0 = all_41_2
% 170.34/26.19 | | | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | | | REDUCE: (26), (128) imply:
% 170.34/26.19 | | | | | | | | | | | | | | (129) $false
% 170.34/26.19 | | | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | | | CLOSE: (129) is inconsistent.
% 170.34/26.19 | | | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | | Case 2:
% 170.34/26.19 | | | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | | | (130) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 170.34/26.19 | | | | | | | | | | | | | | (apply(all_32_8, all_41_0, all_49_0) = v2 &
% 170.34/26.19 | | | | | | | | | | | | | | member(all_51_0, all_32_4) = v1 &
% 170.34/26.19 | | | | | | | | | | | | | | member(all_41_0, all_32_5) = v0 & ( ~ (v2 = 0) |
% 170.34/26.19 | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 170.34/26.19 | | | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | | | DELTA: instantiating (130) with fresh symbols all_559_0,
% 170.34/26.19 | | | | | | | | | | | | | | all_559_1, all_559_2 gives:
% 170.34/26.19 | | | | | | | | | | | | | | (131) apply(all_32_8, all_41_0, all_49_0) = all_559_0 &
% 170.34/26.19 | | | | | | | | | | | | | | member(all_51_0, all_32_4) = all_559_1 &
% 170.34/26.19 | | | | | | | | | | | | | | member(all_41_0, all_32_5) = all_559_2 & ( ~
% 170.34/26.19 | | | | | | | | | | | | | | (all_559_0 = 0) | ~ (all_559_1 = 0) | ~
% 170.34/26.19 | | | | | | | | | | | | | | (all_559_2 = 0))
% 170.34/26.19 | | | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | | | ALPHA: (131) implies:
% 170.34/26.19 | | | | | | | | | | | | | | (132) member(all_41_0, all_32_5) = all_559_2
% 170.34/26.19 | | | | | | | | | | | | | | (133) member(all_51_0, all_32_4) = all_559_1
% 170.34/26.19 | | | | | | | | | | | | | | (134) apply(all_32_8, all_41_0, all_49_0) = all_559_0
% 170.34/26.19 | | | | | | | | | | | | | | (135) ~ (all_559_0 = 0) | ~ (all_559_1 = 0) | ~
% 170.34/26.19 | | | | | | | | | | | | | | (all_559_2 = 0)
% 170.34/26.19 | | | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | | | REDUCE: (21), (134) imply:
% 170.34/26.19 | | | | | | | | | | | | | | (136) apply(all_32_8, all_41_0, all_41_2) = all_559_0
% 170.34/26.19 | | | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | | | BETA: splitting (28) gives:
% 170.34/26.19 | | | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | | | Case 1:
% 170.34/26.19 | | | | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | | | | (137) all_51_0 = all_41_2
% 170.34/26.19 | | | | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | | | | REDUCE: (26), (137) imply:
% 170.34/26.19 | | | | | | | | | | | | | | | (138) $false
% 170.34/26.19 | | | | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | | | | CLOSE: (138) is inconsistent.
% 170.34/26.19 | | | | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | | | Case 2:
% 170.34/26.19 | | | | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | | | | (139) ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.34/26.19 | | | | | | | | | | | | | | | all_41_0, all_51_0) = v1 & apply(all_32_8,
% 170.34/26.19 | | | | | | | | | | | | | | | all_41_0, all_41_2) = v0 & ( ~ (v1 = 0) | ~
% 170.34/26.19 | | | | | | | | | | | | | | | (v0 = 0)))
% 170.34/26.19 | | | | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | | | | DELTA: instantiating (139) with fresh symbols all_583_0,
% 170.34/26.19 | | | | | | | | | | | | | | | all_583_1 gives:
% 170.34/26.19 | | | | | | | | | | | | | | | (140) apply(all_32_8, all_41_0, all_51_0) = all_583_0 &
% 170.34/26.19 | | | | | | | | | | | | | | | apply(all_32_8, all_41_0, all_41_2) = all_583_1 &
% 170.34/26.19 | | | | | | | | | | | | | | | ( ~ (all_583_0 = 0) | ~ (all_583_1 = 0))
% 170.34/26.19 | | | | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | | | | ALPHA: (140) implies:
% 170.34/26.19 | | | | | | | | | | | | | | | (141) apply(all_32_8, all_41_0, all_41_2) = all_583_1
% 170.34/26.19 | | | | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | | | | BETA: splitting (29) gives:
% 170.34/26.19 | | | | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | | | | Case 1:
% 170.34/26.19 | | | | | | | | | | | | | | | |
% 170.34/26.19 | | | | | | | | | | | | | | | | (142) all_51_0 = all_41_2
% 170.34/26.19 | | | | | | | | | | | | | | | |
% 170.56/26.19 | | | | | | | | | | | | | | | | REDUCE: (26), (142) imply:
% 170.56/26.19 | | | | | | | | | | | | | | | | (143) $false
% 170.56/26.19 | | | | | | | | | | | | | | | |
% 170.56/26.19 | | | | | | | | | | | | | | | | CLOSE: (143) is inconsistent.
% 170.56/26.19 | | | | | | | | | | | | | | | |
% 170.56/26.19 | | | | | | | | | | | | | | | Case 2:
% 170.56/26.19 | | | | | | | | | | | | | | | |
% 170.56/26.19 | | | | | | | | | | | | | | | | (144) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 170.56/26.19 | | | | | | | | | | | | | | | | (apply(all_32_8, all_41_0, all_41_2) = v2 &
% 170.56/26.19 | | | | | | | | | | | | | | | | member(all_51_0, all_32_4) = v1 &
% 170.56/26.19 | | | | | | | | | | | | | | | | member(all_41_0, all_32_5) = v0 & ( ~ (v2 = 0) |
% 170.56/26.19 | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 170.56/26.19 | | | | | | | | | | | | | | | |
% 170.56/26.19 | | | | | | | | | | | | | | | | DELTA: instantiating (144) with fresh symbols all_589_0,
% 170.56/26.19 | | | | | | | | | | | | | | | | all_589_1, all_589_2 gives:
% 170.56/26.19 | | | | | | | | | | | | | | | | (145) apply(all_32_8, all_41_0, all_41_2) = all_589_0 &
% 170.56/26.19 | | | | | | | | | | | | | | | | member(all_51_0, all_32_4) = all_589_1 &
% 170.56/26.19 | | | | | | | | | | | | | | | | member(all_41_0, all_32_5) = all_589_2 & ( ~
% 170.56/26.19 | | | | | | | | | | | | | | | | (all_589_0 = 0) | ~ (all_589_1 = 0) | ~
% 170.56/26.19 | | | | | | | | | | | | | | | | (all_589_2 = 0))
% 170.56/26.19 | | | | | | | | | | | | | | | |
% 170.56/26.19 | | | | | | | | | | | | | | | | ALPHA: (145) implies:
% 170.56/26.19 | | | | | | | | | | | | | | | | (146) member(all_41_0, all_32_5) = all_589_2
% 170.56/26.19 | | | | | | | | | | | | | | | | (147) member(all_51_0, all_32_4) = all_589_1
% 170.56/26.19 | | | | | | | | | | | | | | | | (148) apply(all_32_8, all_41_0, all_41_2) = all_589_0
% 170.56/26.19 | | | | | | | | | | | | | | | |
% 170.56/26.19 | | | | | | | | | | | | | | | | BETA: splitting (2) gives:
% 170.56/26.19 | | | | | | | | | | | | | | | |
% 170.56/26.19 | | | | | | | | | | | | | | | | Case 1:
% 170.56/26.19 | | | | | | | | | | | | | | | | |
% 170.56/26.19 | | | | | | | | | | | | | | | | | (149) all_51_0 = all_49_0
% 170.56/26.19 | | | | | | | | | | | | | | | | |
% 170.56/26.19 | | | | | | | | | | | | | | | | | COMBINE_EQS: (21), (149) imply:
% 170.56/26.19 | | | | | | | | | | | | | | | | | (150) all_51_0 = all_41_2
% 170.56/26.19 | | | | | | | | | | | | | | | | |
% 170.56/26.19 | | | | | | | | | | | | | | | | | REDUCE: (26), (150) imply:
% 170.56/26.19 | | | | | | | | | | | | | | | | | (151) $false
% 170.56/26.19 | | | | | | | | | | | | | | | | |
% 170.56/26.19 | | | | | | | | | | | | | | | | | CLOSE: (151) is inconsistent.
% 170.56/26.19 | | | | | | | | | | | | | | | | |
% 170.56/26.19 | | | | | | | | | | | | | | | | Case 2:
% 170.56/26.19 | | | | | | | | | | | | | | | | |
% 170.56/26.19 | | | | | | | | | | | | | | | | | (152) ? [v0: any] : ? [v1: any] : (apply(all_32_8,
% 170.56/26.19 | | | | | | | | | | | | | | | | | all_55_0, all_51_0) = v0 & apply(all_32_8,
% 170.56/26.19 | | | | | | | | | | | | | | | | | all_55_0, all_49_0) = v1 & ( ~ (v1 = 0) | ~
% 170.56/26.19 | | | | | | | | | | | | | | | | | (v0 = 0)))
% 170.56/26.19 | | | | | | | | | | | | | | | | |
% 170.56/26.19 | | | | | | | | | | | | | | | | | DELTA: instantiating (152) with fresh symbols all_607_0,
% 170.56/26.19 | | | | | | | | | | | | | | | | | all_607_1 gives:
% 170.56/26.19 | | | | | | | | | | | | | | | | | (153) apply(all_32_8, all_55_0, all_51_0) = all_607_1 &
% 170.56/26.19 | | | | | | | | | | | | | | | | | apply(all_32_8, all_55_0, all_49_0) = all_607_0 &
% 170.56/26.19 | | | | | | | | | | | | | | | | | ( ~ (all_607_0 = 0) | ~ (all_607_1 = 0))
% 170.56/26.19 | | | | | | | | | | | | | | | | |
% 170.56/26.19 | | | | | | | | | | | | | | | | | ALPHA: (153) implies:
% 170.56/26.19 | | | | | | | | | | | | | | | | | (154) apply(all_32_8, all_55_0, all_49_0) = all_607_0
% 170.56/26.19 | | | | | | | | | | | | | | | | |
% 170.56/26.19 | | | | | | | | | | | | | | | | | REDUCE: (20), (21), (154) imply:
% 170.56/26.19 | | | | | | | | | | | | | | | | | (155) apply(all_32_8, all_41_0, all_41_2) = all_607_0
% 170.56/26.19 | | | | | | | | | | | | | | | | |
% 170.56/26.19 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with 0, all_457_2, all_32_5,
% 170.56/26.19 | | | | | | | | | | | | | | | | | all_41_0, simplifying with (14), (46) gives:
% 170.56/26.19 | | | | | | | | | | | | | | | | | (156) all_457_2 = 0
% 170.56/26.19 | | | | | | | | | | | | | | | | |
% 170.56/26.19 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_457_2, all_559_2,
% 170.56/26.19 | | | | | | | | | | | | | | | | | all_32_5, all_41_0, simplifying with (46), (132)
% 170.56/26.19 | | | | | | | | | | | | | | | | | gives:
% 170.56/26.19 | | | | | | | | | | | | | | | | | (157) all_559_2 = all_457_2
% 170.56/26.19 | | | | | | | | | | | | | | | | |
% 170.56/26.19 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_559_2, all_589_2,
% 170.56/26.19 | | | | | | | | | | | | | | | | | all_32_5, all_41_0, simplifying with (132), (146)
% 170.56/26.19 | | | | | | | | | | | | | | | | | gives:
% 170.56/26.19 | | | | | | | | | | | | | | | | | (158) all_589_2 = all_559_2
% 170.56/26.19 | | | | | | | | | | | | | | | | |
% 170.56/26.19 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_441_2, all_589_2,
% 170.56/26.19 | | | | | | | | | | | | | | | | | all_32_5, all_41_0, simplifying with (37), (146)
% 170.56/26.19 | | | | | | | | | | | | | | | | | gives:
% 170.56/26.19 | | | | | | | | | | | | | | | | | (159) all_589_2 = all_441_2
% 170.56/26.19 | | | | | | | | | | | | | | | | |
% 170.56/26.19 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with 0, all_589_1, all_32_4,
% 170.56/26.19 | | | | | | | | | | | | | | | | | all_51_0, simplifying with (16), (147) gives:
% 170.56/26.19 | | | | | | | | | | | | | | | | | (160) all_589_1 = 0
% 170.56/26.19 | | | | | | | | | | | | | | | | |
% 170.56/26.19 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_559_1, all_589_1,
% 170.56/26.19 | | | | | | | | | | | | | | | | | all_32_4, all_51_0, simplifying with (133), (147)
% 170.56/26.19 | | | | | | | | | | | | | | | | | gives:
% 170.56/26.19 | | | | | | | | | | | | | | | | | (161) all_589_1 = all_559_1
% 170.56/26.19 | | | | | | | | | | | | | | | | |
% 170.56/26.19 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_523_0, all_535_0,
% 170.56/26.19 | | | | | | | | | | | | | | | | | all_41_2, all_41_0, all_32_8, simplifying with
% 170.56/26.19 | | | | | | | | | | | | | | | | | (89), (107) gives:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (162) all_535_0 = all_523_0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_547_1, all_553_0,
% 170.56/26.20 | | | | | | | | | | | | | | | | | all_41_2, all_41_0, all_32_8, simplifying with
% 170.56/26.20 | | | | | | | | | | | | | | | | | (120), (126) gives:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (163) all_553_0 = all_547_1
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_535_0, all_553_0,
% 170.56/26.20 | | | | | | | | | | | | | | | | | all_41_2, all_41_0, all_32_8, simplifying with
% 170.56/26.20 | | | | | | | | | | | | | | | | | (107), (126) gives:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (164) all_553_0 = all_535_0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with 0, all_553_0, all_41_2,
% 170.56/26.20 | | | | | | | | | | | | | | | | | all_41_0, all_32_8, simplifying with (8), (126)
% 170.56/26.20 | | | | | | | | | | | | | | | | | gives:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (165) all_553_0 = 0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_541_1, all_583_1,
% 170.56/26.20 | | | | | | | | | | | | | | | | | all_41_2, all_41_0, all_32_8, simplifying with
% 170.56/26.20 | | | | | | | | | | | | | | | | | (114), (141) gives:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (166) all_583_1 = all_541_1
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_529_1, all_583_1,
% 170.56/26.20 | | | | | | | | | | | | | | | | | all_41_2, all_41_0, all_32_8, simplifying with
% 170.56/26.20 | | | | | | | | | | | | | | | | | (98), (141) gives:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (167) all_583_1 = all_529_1
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_523_0, all_583_1,
% 170.56/26.20 | | | | | | | | | | | | | | | | | all_41_2, all_41_0, all_32_8, simplifying with
% 170.56/26.20 | | | | | | | | | | | | | | | | | (89), (141) gives:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (168) all_583_1 = all_523_0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_517_0, all_583_1,
% 170.56/26.20 | | | | | | | | | | | | | | | | | all_41_2, all_41_0, all_32_8, simplifying with
% 170.56/26.20 | | | | | | | | | | | | | | | | | (80), (141) gives:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (169) all_583_1 = all_517_0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_511_1, all_583_1,
% 170.56/26.20 | | | | | | | | | | | | | | | | | all_41_2, all_41_0, all_32_8, simplifying with
% 170.56/26.20 | | | | | | | | | | | | | | | | | (71), (141) gives:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (170) all_583_1 = all_511_1
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_511_1, all_589_0,
% 170.56/26.20 | | | | | | | | | | | | | | | | | all_41_2, all_41_0, all_32_8, simplifying with
% 170.56/26.20 | | | | | | | | | | | | | | | | | (71), (148) gives:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (171) all_589_0 = all_511_1
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_505_0, all_589_0,
% 170.56/26.20 | | | | | | | | | | | | | | | | | all_41_2, all_41_0, all_32_8, simplifying with
% 170.56/26.20 | | | | | | | | | | | | | | | | | (64), (148) gives:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (172) all_589_0 = all_505_0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_589_0, all_607_0,
% 170.56/26.20 | | | | | | | | | | | | | | | | | all_41_2, all_41_0, all_32_8, simplifying with
% 170.56/26.20 | | | | | | | | | | | | | | | | | (148), (155) gives:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (173) all_607_0 = all_589_0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_559_0, all_607_0,
% 170.56/26.20 | | | | | | | | | | | | | | | | | all_41_2, all_41_0, all_32_8, simplifying with
% 170.56/26.20 | | | | | | | | | | | | | | | | | (136), (155) gives:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (174) all_607_0 = all_559_0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_481_1, all_607_0,
% 170.56/26.20 | | | | | | | | | | | | | | | | | all_41_2, all_41_0, all_32_8, simplifying with
% 170.56/26.20 | | | | | | | | | | | | | | | | | (56), (155) gives:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (175) all_607_0 = all_481_1
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (173), (174) imply:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (176) all_589_0 = all_559_0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | SIMP: (176) implies:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (177) all_589_0 = all_559_0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (174), (175) imply:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (178) all_559_0 = all_481_1
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (172), (177) imply:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (179) all_559_0 = all_505_0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | SIMP: (179) implies:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (180) all_559_0 = all_505_0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (171), (172) imply:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (181) all_511_1 = all_505_0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | SIMP: (181) implies:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (182) all_511_1 = all_505_0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (160), (161) imply:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (183) all_559_1 = 0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (158), (159) imply:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (184) all_559_2 = all_441_2
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | SIMP: (184) implies:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (185) all_559_2 = all_441_2
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (166), (167) imply:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (186) all_541_1 = all_529_1
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (166), (169) imply:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (187) all_541_1 = all_517_0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (166), (170) imply:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (188) all_541_1 = all_511_1
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (166), (168) imply:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (189) all_541_1 = all_523_0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (178), (180) imply:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (190) all_505_0 = all_481_1
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | SIMP: (190) implies:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (191) all_505_0 = all_481_1
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (157), (185) imply:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (192) all_457_2 = all_441_2
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | SIMP: (192) implies:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (193) all_457_2 = all_441_2
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (163), (165) imply:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (194) all_547_1 = 0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (163), (164) imply:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (195) all_547_1 = all_535_0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (194), (195) imply:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (196) all_535_0 = 0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | SIMP: (196) implies:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (197) all_535_0 = 0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (186), (189) imply:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (198) all_529_1 = all_523_0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (186), (188) imply:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (199) all_529_1 = all_511_1
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (186), (187) imply:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (200) all_529_1 = all_517_0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (162), (197) imply:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (201) all_523_0 = 0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | SIMP: (201) implies:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (202) all_523_0 = 0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (198), (200) imply:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (203) all_523_0 = all_517_0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | SIMP: (203) implies:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (204) all_523_0 = all_517_0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (199), (200) imply:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (205) all_517_0 = all_511_1
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (202), (204) imply:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (206) all_517_0 = 0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | SIMP: (206) implies:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (207) all_517_0 = 0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (205), (207) imply:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (208) all_511_1 = 0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | SIMP: (208) implies:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (209) all_511_1 = 0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (182), (209) imply:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (210) all_505_0 = 0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | SIMP: (210) implies:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (211) all_505_0 = 0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (191), (211) imply:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (212) all_481_1 = 0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | SIMP: (212) implies:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (213) all_481_1 = 0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (156), (193) imply:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (214) all_441_2 = 0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (185), (214) imply:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (215) all_559_2 = 0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (178), (213) imply:
% 170.56/26.20 | | | | | | | | | | | | | | | | | (216) all_559_0 = 0
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | BETA: splitting (135) gives:
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | Case 1:
% 170.56/26.20 | | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | | (217) ~ (all_559_0 = 0)
% 170.56/26.20 | | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | | REDUCE: (216), (217) imply:
% 170.56/26.20 | | | | | | | | | | | | | | | | | | (218) $false
% 170.56/26.20 | | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | | CLOSE: (218) is inconsistent.
% 170.56/26.20 | | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | Case 2:
% 170.56/26.20 | | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | | (219) ~ (all_559_1 = 0) | ~ (all_559_2 = 0)
% 170.56/26.20 | | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 170.56/26.20 | | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | | Case 1:
% 170.56/26.20 | | | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | | | (220) ~ (all_559_1 = 0)
% 170.56/26.20 | | | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | | | REDUCE: (183), (220) imply:
% 170.56/26.20 | | | | | | | | | | | | | | | | | | | (221) $false
% 170.56/26.20 | | | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | | | CLOSE: (221) is inconsistent.
% 170.56/26.20 | | | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | | Case 2:
% 170.56/26.20 | | | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | | | (222) ~ (all_559_2 = 0)
% 170.56/26.20 | | | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | | | REDUCE: (215), (222) imply:
% 170.56/26.20 | | | | | | | | | | | | | | | | | | | (223) $false
% 170.56/26.20 | | | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | | | CLOSE: (223) is inconsistent.
% 170.56/26.20 | | | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | | End of split
% 170.56/26.20 | | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | | End of split
% 170.56/26.20 | | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | | End of split
% 170.56/26.20 | | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | | End of split
% 170.56/26.20 | | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | | End of split
% 170.56/26.20 | | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | | End of split
% 170.56/26.20 | | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | | End of split
% 170.56/26.20 | | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | | End of split
% 170.56/26.20 | | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | | End of split
% 170.56/26.20 | | | | | | | | | |
% 170.56/26.20 | | | | | | | | | End of split
% 170.56/26.20 | | | | | | | | |
% 170.56/26.20 | | | | | | | | End of split
% 170.56/26.20 | | | | | | | |
% 170.56/26.20 | | | | | | | End of split
% 170.56/26.20 | | | | | | |
% 170.56/26.20 | | | | | | End of split
% 170.56/26.20 | | | | | |
% 170.56/26.20 | | | | | End of split
% 170.56/26.20 | | | | |
% 170.56/26.20 | | | | End of split
% 170.56/26.20 | | | |
% 170.56/26.20 | | | End of split
% 170.56/26.20 | | |
% 170.56/26.20 | | End of split
% 170.56/26.20 | |
% 170.56/26.20 | End of split
% 170.56/26.20 |
% 170.56/26.20 End of proof
% 170.56/26.20 % SZS output end Proof for theBenchmark
% 170.56/26.20
% 170.56/26.20 25638ms
%------------------------------------------------------------------------------