TSTP Solution File: SEU232+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SEU232+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 17:43:31 EDT 2023
% Result : Theorem 14.70s 2.73s
% Output : Proof 145.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU232+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 23 18:29:08 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.61 ________ _____
% 0.21/0.61 ___ __ \_________(_)________________________________
% 0.21/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.61
% 0.21/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.61 (2023-06-19)
% 0.21/0.61
% 0.21/0.61 (c) Philipp Rümmer, 2009-2023
% 0.21/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.61 Amanda Stjerna.
% 0.21/0.61 Free software under BSD-3-Clause.
% 0.21/0.61
% 0.21/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.61
% 0.21/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.21/0.62 Running up to 7 provers in parallel.
% 0.21/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.87/1.06 Prover 1: Preprocessing ...
% 2.87/1.06 Prover 4: Preprocessing ...
% 3.12/1.10 Prover 0: Preprocessing ...
% 3.12/1.10 Prover 5: Preprocessing ...
% 3.12/1.10 Prover 3: Preprocessing ...
% 3.12/1.10 Prover 2: Preprocessing ...
% 3.12/1.10 Prover 6: Preprocessing ...
% 6.41/1.60 Prover 5: Proving ...
% 6.41/1.61 Prover 2: Proving ...
% 6.90/1.62 Prover 6: Proving ...
% 6.90/1.63 Prover 1: Warning: ignoring some quantifiers
% 6.90/1.65 Prover 3: Warning: ignoring some quantifiers
% 6.90/1.66 Prover 1: Constructing countermodel ...
% 7.24/1.68 Prover 3: Constructing countermodel ...
% 7.24/1.71 Prover 4: Warning: ignoring some quantifiers
% 7.24/1.73 Prover 0: Proving ...
% 7.86/1.76 Prover 4: Constructing countermodel ...
% 12.39/2.40 Prover 3: gave up
% 12.39/2.40 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 13.04/2.46 Prover 7: Preprocessing ...
% 13.75/2.57 Prover 7: Warning: ignoring some quantifiers
% 13.75/2.57 Prover 7: Constructing countermodel ...
% 14.70/2.73 Prover 0: proved (2099ms)
% 14.70/2.73
% 14.70/2.73 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.70/2.73
% 14.70/2.74 Prover 5: stopped
% 14.70/2.74 Prover 6: stopped
% 14.70/2.75 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 14.70/2.75 Prover 2: stopped
% 14.70/2.76 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 14.70/2.76 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 14.70/2.76 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 15.32/2.83 Prover 8: Preprocessing ...
% 15.32/2.83 Prover 10: Preprocessing ...
% 15.32/2.84 Prover 11: Preprocessing ...
% 15.32/2.84 Prover 13: Preprocessing ...
% 16.16/2.88 Prover 10: Warning: ignoring some quantifiers
% 16.16/2.90 Prover 10: Constructing countermodel ...
% 16.16/2.90 Prover 13: Warning: ignoring some quantifiers
% 16.16/2.93 Prover 13: Constructing countermodel ...
% 16.84/2.97 Prover 8: Warning: ignoring some quantifiers
% 16.84/2.97 Prover 8: Constructing countermodel ...
% 17.53/3.05 Prover 11: Warning: ignoring some quantifiers
% 17.53/3.05 Prover 11: Constructing countermodel ...
% 62.17/9.00 Prover 13: stopped
% 62.17/9.00 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 63.32/9.03 Prover 16: Preprocessing ...
% 63.80/9.09 Prover 16: Warning: ignoring some quantifiers
% 63.80/9.10 Prover 16: Constructing countermodel ...
% 106.77/14.75 Prover 16: stopped
% 106.77/14.77 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 106.77/14.82 Prover 19: Preprocessing ...
% 107.55/14.94 Prover 19: Warning: ignoring some quantifiers
% 107.55/14.94 Prover 19: Constructing countermodel ...
% 116.28/15.98 Prover 1: stopped
% 133.68/18.55 Prover 19: stopped
% 143.61/20.18 Prover 4: Found proof (size 632)
% 143.61/20.18 Prover 4: proved (19547ms)
% 143.61/20.18 Prover 11: stopped
% 143.61/20.18 Prover 10: stopped
% 143.61/20.19 Prover 7: stopped
% 143.61/20.19 Prover 8: stopped
% 143.61/20.19
% 143.61/20.19 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 143.61/20.19
% 143.61/20.22 % SZS output start Proof for theBenchmark
% 143.61/20.22 Assumptions after simplification:
% 143.61/20.22 ---------------------------------
% 143.61/20.23
% 143.61/20.23 (antisymmetry_r2_hidden)
% 144.03/20.25 ! [v0: $i] : ! [v1: $i] : ( ~ (in(v1, v0) = 0) | ~ $i(v1) | ~ $i(v0) | ?
% 144.03/20.25 [v2: int] : ( ~ (v2 = 0) & in(v0, v1) = v2)) & ! [v0: $i] : ! [v1: $i] : (
% 144.03/20.25 ~ (in(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) &
% 144.03/20.25 in(v1, v0) = v2))
% 144.03/20.25
% 144.03/20.25 (d2_ordinal1)
% 144.03/20.26 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (subset(v1, v0) = v2)
% 144.03/20.26 | ~ (epsilon_transitive(v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : (
% 144.03/20.26 ~ (v3 = 0) & in(v1, v0) = v3)) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 144.03/20.26 (epsilon_transitive(v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: int] : ( ~
% 144.03/20.26 (v3 = 0) & subset(v2, v0) = v3 & in(v2, v0) = 0 & $i(v2))) & ! [v0: $i] :
% 144.03/20.26 ! [v1: $i] : ( ~ (epsilon_transitive(v0) = 0) | ~ (in(v1, v0) = 0) | ~
% 144.03/20.26 $i(v1) | ~ $i(v0) | subset(v1, v0) = 0)
% 144.03/20.26
% 144.03/20.26 (d3_ordinal1)
% 144.03/20.26 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | v2 = v1 |
% 144.03/20.26 ~ (epsilon_connected(v0) = 0) | ~ (in(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1)
% 144.03/20.26 | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: any] : (in(v2, v0) = v5
% 144.03/20.26 & in(v1, v2) = v6 & in(v1, v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0) | v6 =
% 144.03/20.26 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0
% 144.03/20.26 | v2 = v1 | ~ (epsilon_connected(v0) = 0) | ~ (in(v1, v2) = v3) | ~
% 144.03/20.26 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: any]
% 144.03/20.26 : (in(v2, v1) = v6 & in(v2, v0) = v5 & in(v1, v0) = v4 & ( ~ (v5 = 0) | ~
% 144.03/20.26 (v4 = 0) | v6 = 0))) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 144.03/20.26 (epsilon_connected(v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i] : ?
% 144.03/20.26 [v4: int] : ? [v5: int] : ( ~ (v5 = 0) & ~ (v4 = 0) & ~ (v3 = v2) &
% 144.03/20.26 in(v3, v2) = v5 & in(v3, v0) = 0 & in(v2, v3) = v4 & in(v2, v0) = 0 &
% 144.03/20.26 $i(v3) & $i(v2)))
% 144.03/20.26
% 144.03/20.26 (d3_tarski)
% 144.03/20.27 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 144.03/20.27 (subset(v0, v1) = 0) | ~ (in(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 144.03/20.27 $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & in(v2, v0) = v4)) & ! [v0: $i] : !
% 144.03/20.27 [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ~ $i(v1) | ~
% 144.03/20.27 $i(v0) | ? [v3: $i] : ? [v4: int] : ( ~ (v4 = 0) & in(v3, v1) = v4 &
% 144.03/20.27 in(v3, v0) = 0 & $i(v3))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 144.03/20.27 (subset(v0, v1) = 0) | ~ (in(v2, v0) = 0) | ~ $i(v2) | ~ $i(v1) | ~
% 144.03/20.27 $i(v0) | in(v2, v1) = 0)
% 144.03/20.27
% 144.03/20.27 (d4_ordinal1)
% 144.03/20.27 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (ordinal(v0) = v1) | ~ $i(v0) | ?
% 144.03/20.27 [v2: any] : ? [v3: any] : (epsilon_transitive(v0) = v2 &
% 144.03/20.27 epsilon_connected(v0) = v3 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0: $i] :
% 144.03/20.27 ! [v1: any] : ( ~ (epsilon_transitive(v0) = v1) | ~ $i(v0) | ? [v2: any] :
% 144.03/20.27 ? [v3: any] : (ordinal(v0) = v2 & epsilon_connected(v0) = v3 & ( ~ (v2 = 0)
% 144.03/20.27 | (v3 = 0 & v1 = 0)))) & ! [v0: $i] : ! [v1: any] : ( ~
% 144.03/20.27 (epsilon_connected(v0) = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] :
% 144.03/20.27 (epsilon_transitive(v0) = v3 & ordinal(v0) = v2 & ( ~ (v2 = 0) | (v3 = 0 &
% 144.03/20.27 v1 = 0)))) & ! [v0: $i] : ( ~ (epsilon_transitive(v0) = 0) | ~
% 144.03/20.27 $i(v0) | ? [v1: any] : ? [v2: any] : (ordinal(v0) = v2 &
% 144.03/20.27 epsilon_connected(v0) = v1 & ( ~ (v1 = 0) | v2 = 0))) & ! [v0: $i] : ( ~
% 144.03/20.27 (ordinal(v0) = 0) | ~ $i(v0) | (epsilon_transitive(v0) = 0 &
% 144.03/20.27 epsilon_connected(v0) = 0)) & ! [v0: $i] : ( ~ (epsilon_connected(v0) =
% 144.03/20.27 0) | ~ $i(v0) | ? [v1: any] : ? [v2: any] : (epsilon_transitive(v0) =
% 144.03/20.27 v1 & ordinal(v0) = v2 & ( ~ (v1 = 0) | v2 = 0)))
% 144.03/20.27
% 144.03/20.27 (fc4_relat_1)
% 144.03/20.27 relation(empty_set) = 0 & empty(empty_set) = 0 & $i(empty_set)
% 144.03/20.27
% 144.03/20.27 (rc1_ordinal1)
% 144.03/20.27 ? [v0: $i] : (epsilon_transitive(v0) = 0 & ordinal(v0) = 0 &
% 144.03/20.27 epsilon_connected(v0) = 0 & $i(v0))
% 144.03/20.27
% 144.03/20.27 (rc1_relat_1)
% 144.03/20.27 ? [v0: $i] : (relation(v0) = 0 & empty(v0) = 0 & $i(v0))
% 144.03/20.27
% 144.03/20.27 (rc1_xboole_0)
% 144.03/20.27 ? [v0: $i] : (empty(v0) = 0 & $i(v0))
% 144.03/20.27
% 144.03/20.27 (rc2_funct_1)
% 144.03/20.27 ? [v0: $i] : (relation(v0) = 0 & function(v0) = 0 & empty(v0) = 0 & $i(v0))
% 144.03/20.27
% 144.03/20.27 (t23_ordinal1)
% 144.03/20.27 ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) & ordinal(v1) = 0 &
% 144.03/20.28 ordinal(v0) = v2 & in(v0, v1) = 0 & $i(v1) & $i(v0))
% 144.03/20.28
% 144.03/20.28 (t2_subset)
% 144.03/20.28 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (in(v0, v1) = v2) | ~
% 144.03/20.28 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : (element(v0, v1) = v3 &
% 144.03/20.28 empty(v1) = v4 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0: $i] : ! [v1: $i] : (
% 144.03/20.28 ~ (element(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3:
% 144.03/20.28 any] : (empty(v1) = v2 & in(v0, v1) = v3 & (v3 = 0 | v2 = 0)))
% 144.03/20.28
% 144.03/20.28 (t3_ordinal1)
% 144.03/20.28 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (in(v2, v0) = 0) | ~ (in(v1,
% 144.03/20.28 v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 =
% 144.03/20.28 0) & in(v0, v1) = v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 144.03/20.28 (in(v2, v0) = 0) | ~ (in(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 144.03/20.28 ? [v3: int] : ( ~ (v3 = 0) & in(v1, v2) = v3)) & ! [v0: $i] : ! [v1: $i]
% 144.03/20.28 : ! [v2: $i] : ( ~ (in(v1, v2) = 0) | ~ (in(v0, v1) = 0) | ~ $i(v2) | ~
% 144.03/20.28 $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & in(v2, v0) = v3))
% 144.03/20.28
% 144.03/20.28 (t3_subset)
% 144.03/20.28 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 144.03/20.28 (powerset(v1) = v2) | ~ (element(v0, v2) = v3) | ~ $i(v1) | ~ $i(v0) | ?
% 144.03/20.28 [v4: int] : ( ~ (v4 = 0) & subset(v0, v1) = v4)) & ! [v0: $i] : ! [v1: $i]
% 144.03/20.28 : ! [v2: int] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) |
% 144.03/20.28 ? [v3: $i] : ? [v4: int] : ( ~ (v4 = 0) & powerset(v1) = v3 & element(v0,
% 144.03/20.28 v3) = v4 & $i(v3))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 144.03/20.28 (powerset(v1) = v2) | ~ (element(v0, v2) = 0) | ~ $i(v1) | ~ $i(v0) |
% 144.03/20.28 subset(v0, v1) = 0) & ! [v0: $i] : ! [v1: $i] : ( ~ (subset(v0, v1) = 0) |
% 144.03/20.28 ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : (powerset(v1) = v2 & element(v0, v2) =
% 144.03/20.28 0 & $i(v2)))
% 144.03/20.28
% 144.03/20.28 (t5_subset)
% 144.03/20.28 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (powerset(v2) =
% 144.03/20.28 v3) | ~ (element(v1, v3) = 0) | ~ (in(v0, v1) = 0) | ~ $i(v2) | ~
% 144.03/20.28 $i(v1) | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & empty(v2) = v4)) & !
% 144.03/20.28 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (empty(v2) = 0) | ~ (in(v0, v1) =
% 144.03/20.28 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: int] : ( ~
% 144.03/20.28 (v4 = 0) & powerset(v2) = v3 & element(v1, v3) = v4 & $i(v3)))
% 144.03/20.28
% 144.03/20.28 (t6_boole)
% 144.03/20.28 $i(empty_set) & ! [v0: $i] : (v0 = empty_set | ~ (empty(v0) = 0) | ~
% 144.03/20.28 $i(v0))
% 144.03/20.28
% 144.03/20.28 (t7_tarski)
% 144.03/20.29 ! [v0: $i] : ! [v1: $i] : ( ~ (in(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ?
% 144.03/20.29 [v2: $i] : (in(v2, v1) = 0 & $i(v2) & ! [v3: $i] : ( ~ (in(v3, v2) = 0) |
% 144.03/20.29 ~ $i(v3) | ? [v4: int] : ( ~ (v4 = 0) & in(v3, v1) = v4)) & ! [v3: $i]
% 144.03/20.29 : ( ~ (in(v3, v1) = 0) | ~ $i(v3) | ? [v4: int] : ( ~ (v4 = 0) & in(v3,
% 144.03/20.29 v2) = v4))))
% 144.03/20.29
% 144.03/20.29 (t8_boole)
% 144.03/20.29 ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (empty(v1) = 0) | ~ (empty(v0) = 0)
% 144.03/20.29 | ~ $i(v1) | ~ $i(v0))
% 144.03/20.29
% 144.03/20.29 (function-axioms)
% 144.03/20.29 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 144.03/20.29 [v3: $i] : (v1 = v0 | ~ (element(v3, v2) = v1) | ~ (element(v3, v2) = v0)) &
% 144.03/20.29 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 144.03/20.29 (set_difference(v3, v2) = v1) | ~ (set_difference(v3, v2) = v0)) & ! [v0:
% 144.03/20.29 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 144.03/20.29 : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) & ! [v0:
% 144.03/20.29 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 144.03/20.29 : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = v0)) & ! [v0: $i] : !
% 144.03/20.29 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (powerset(v2) = v1) | ~ (powerset(v2)
% 144.03/20.29 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 144.03/20.29 $i] : (v1 = v0 | ~ (relation_empty_yielding(v2) = v1) | ~
% 144.03/20.29 (relation_empty_yielding(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 144.03/20.29 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (one_to_one(v2) = v1) | ~
% 144.03/20.29 (one_to_one(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 144.03/20.29 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (relation(v2) = v1) | ~
% 144.03/20.29 (relation(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 144.03/20.29 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (epsilon_transitive(v2) =
% 144.03/20.29 v1) | ~ (epsilon_transitive(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 144.03/20.29 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (ordinal(v2) = v1) | ~
% 144.03/20.29 (ordinal(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 144.03/20.29 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (epsilon_connected(v2) =
% 144.03/20.29 v1) | ~ (epsilon_connected(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 144.03/20.29 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (function(v2) = v1) | ~
% 144.03/20.29 (function(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 144.03/20.29 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (empty(v2) = v1) | ~
% 144.03/20.29 (empty(v2) = v0))
% 144.03/20.29
% 144.03/20.29 Further assumptions not needed in the proof:
% 144.03/20.29 --------------------------------------------
% 144.03/20.29 cc1_funct_1, cc1_ordinal1, cc1_relat_1, cc2_funct_1, cc2_ordinal1, d4_xboole_0,
% 144.03/20.29 dt_k1_xboole_0, dt_k1_zfmisc_1, dt_k4_xboole_0, dt_m1_subset_1,
% 144.03/20.29 existence_m1_subset_1, fc12_relat_1, fc1_xboole_0, fc3_relat_1, rc1_funct_1,
% 144.03/20.29 rc2_relat_1, rc2_xboole_0, rc3_funct_1, rc3_relat_1, rc4_funct_1,
% 144.03/20.29 reflexivity_r1_tarski, t1_subset, t3_boole, t4_boole, t4_subset, t7_boole
% 144.03/20.29
% 144.03/20.29 Those formulas are unsatisfiable:
% 144.03/20.29 ---------------------------------
% 144.03/20.29
% 144.03/20.29 Begin of proof
% 144.03/20.29 |
% 144.03/20.29 | ALPHA: (antisymmetry_r2_hidden) implies:
% 144.03/20.29 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (in(v1, v0) = 0) | ~ $i(v1) | ~
% 144.03/20.29 | $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & in(v0, v1) = v2))
% 144.03/20.29 |
% 144.03/20.29 | ALPHA: (d2_ordinal1) implies:
% 144.03/20.30 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (epsilon_transitive(v0) = 0) | ~
% 144.03/20.30 | (in(v1, v0) = 0) | ~ $i(v1) | ~ $i(v0) | subset(v1, v0) = 0)
% 144.03/20.30 | (3) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (epsilon_transitive(v0) = v1)
% 144.03/20.30 | | ~ $i(v0) | ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) & subset(v2,
% 144.03/20.30 | v0) = v3 & in(v2, v0) = 0 & $i(v2)))
% 144.03/20.30 |
% 144.03/20.30 | ALPHA: (d3_ordinal1) implies:
% 144.03/20.30 | (4) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (epsilon_connected(v0) = v1)
% 144.03/20.30 | | ~ $i(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4: int] : ? [v5: int]
% 144.03/20.30 | : ( ~ (v5 = 0) & ~ (v4 = 0) & ~ (v3 = v2) & in(v3, v2) = v5 &
% 144.03/20.30 | in(v3, v0) = 0 & in(v2, v3) = v4 & in(v2, v0) = 0 & $i(v3) &
% 144.03/20.30 | $i(v2)))
% 144.03/20.30 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | v2 =
% 144.03/20.30 | v1 | ~ (epsilon_connected(v0) = 0) | ~ (in(v1, v2) = v3) | ~
% 144.03/20.30 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ?
% 144.03/20.30 | [v6: any] : (in(v2, v1) = v6 & in(v2, v0) = v5 & in(v1, v0) = v4 & (
% 144.03/20.30 | ~ (v5 = 0) | ~ (v4 = 0) | v6 = 0)))
% 144.03/20.30 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | v2 =
% 144.03/20.30 | v1 | ~ (epsilon_connected(v0) = 0) | ~ (in(v2, v1) = v3) | ~
% 144.03/20.30 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ?
% 144.03/20.30 | [v6: any] : (in(v2, v0) = v5 & in(v1, v2) = v6 & in(v1, v0) = v4 & (
% 144.03/20.30 | ~ (v5 = 0) | ~ (v4 = 0) | v6 = 0)))
% 144.03/20.30 |
% 144.03/20.30 | ALPHA: (d3_tarski) implies:
% 144.03/20.30 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (subset(v0, v1) = 0) | ~
% 144.03/20.30 | (in(v2, v0) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | in(v2, v1) =
% 144.03/20.30 | 0)
% 144.03/20.30 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (subset(v0, v1)
% 144.03/20.30 | = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: int] : ( ~
% 144.03/20.30 | (v4 = 0) & in(v3, v1) = v4 & in(v3, v0) = 0 & $i(v3)))
% 144.03/20.30 |
% 144.03/20.30 | ALPHA: (d4_ordinal1) implies:
% 144.03/20.30 | (9) ! [v0: $i] : ( ~ (ordinal(v0) = 0) | ~ $i(v0) |
% 144.03/20.30 | (epsilon_transitive(v0) = 0 & epsilon_connected(v0) = 0))
% 144.03/20.30 | (10) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (ordinal(v0) = v1) | ~
% 144.03/20.30 | $i(v0) | ? [v2: any] : ? [v3: any] : (epsilon_transitive(v0) = v2
% 144.03/20.30 | & epsilon_connected(v0) = v3 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 144.03/20.30 |
% 144.03/20.30 | ALPHA: (fc4_relat_1) implies:
% 144.03/20.30 | (11) empty(empty_set) = 0
% 144.03/20.30 |
% 144.03/20.30 | ALPHA: (t2_subset) implies:
% 144.03/20.31 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (in(v0, v1) =
% 144.03/20.31 | v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 144.03/20.31 | (element(v0, v1) = v3 & empty(v1) = v4 & ( ~ (v3 = 0) | v4 = 0)))
% 144.03/20.31 |
% 144.03/20.31 | ALPHA: (t3_ordinal1) implies:
% 144.03/20.31 | (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (in(v2, v0) = 0) | ~
% 144.03/20.31 | (in(v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int]
% 144.03/20.31 | : ( ~ (v3 = 0) & in(v0, v1) = v3))
% 144.03/20.31 |
% 144.03/20.31 | ALPHA: (t3_subset) implies:
% 144.03/20.31 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 144.03/20.31 | (powerset(v1) = v2) | ~ (element(v0, v2) = v3) | ~ $i(v1) | ~
% 144.03/20.31 | $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & subset(v0, v1) = v4))
% 144.03/20.31 |
% 144.03/20.31 | ALPHA: (t5_subset) implies:
% 144.03/20.31 | (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (empty(v2) = 0) | ~
% 144.03/20.31 | (in(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] :
% 144.03/20.31 | ? [v4: int] : ( ~ (v4 = 0) & powerset(v2) = v3 & element(v1, v3) =
% 144.03/20.31 | v4 & $i(v3)))
% 144.03/20.31 |
% 144.03/20.31 | ALPHA: (t6_boole) implies:
% 144.03/20.31 | (16) $i(empty_set)
% 144.03/20.31 | (17) ! [v0: $i] : (v0 = empty_set | ~ (empty(v0) = 0) | ~ $i(v0))
% 144.03/20.31 |
% 144.03/20.31 | ALPHA: (function-axioms) implies:
% 144.03/20.31 | (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (powerset(v2)
% 144.03/20.31 | = v1) | ~ (powerset(v2) = v0))
% 144.03/20.31 | (19) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 144.03/20.31 | : ! [v3: $i] : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) =
% 144.03/20.31 | v0))
% 144.03/20.31 | (20) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 144.03/20.31 | : ! [v3: $i] : (v1 = v0 | ~ (element(v3, v2) = v1) | ~ (element(v3,
% 144.03/20.31 | v2) = v0))
% 144.03/20.31 |
% 144.03/20.31 | DELTA: instantiating (rc1_xboole_0) with fresh symbol all_29_0 gives:
% 144.03/20.31 | (21) empty(all_29_0) = 0 & $i(all_29_0)
% 144.03/20.31 |
% 144.03/20.31 | ALPHA: (21) implies:
% 144.03/20.31 | (22) $i(all_29_0)
% 144.03/20.31 | (23) empty(all_29_0) = 0
% 144.03/20.31 |
% 144.03/20.31 | DELTA: instantiating (rc1_relat_1) with fresh symbol all_31_0 gives:
% 144.03/20.31 | (24) relation(all_31_0) = 0 & empty(all_31_0) = 0 & $i(all_31_0)
% 144.03/20.31 |
% 144.03/20.31 | ALPHA: (24) implies:
% 144.03/20.31 | (25) $i(all_31_0)
% 144.03/20.31 | (26) empty(all_31_0) = 0
% 144.03/20.31 |
% 144.03/20.31 | DELTA: instantiating (rc1_ordinal1) with fresh symbol all_46_0 gives:
% 144.03/20.31 | (27) epsilon_transitive(all_46_0) = 0 & ordinal(all_46_0) = 0 &
% 144.03/20.32 | epsilon_connected(all_46_0) = 0 & $i(all_46_0)
% 144.03/20.32 |
% 144.03/20.32 | ALPHA: (27) implies:
% 144.03/20.32 | (28) $i(all_46_0)
% 144.03/20.32 | (29) epsilon_connected(all_46_0) = 0
% 144.03/20.32 |
% 144.03/20.32 | DELTA: instantiating (rc2_funct_1) with fresh symbol all_48_0 gives:
% 144.03/20.32 | (30) relation(all_48_0) = 0 & function(all_48_0) = 0 & empty(all_48_0) = 0
% 144.03/20.32 | & $i(all_48_0)
% 144.03/20.32 |
% 144.03/20.32 | ALPHA: (30) implies:
% 144.03/20.32 | (31) $i(all_48_0)
% 144.03/20.32 | (32) empty(all_48_0) = 0
% 144.03/20.32 |
% 144.03/20.32 | DELTA: instantiating (t23_ordinal1) with fresh symbols all_50_0, all_50_1,
% 144.03/20.32 | all_50_2 gives:
% 144.03/20.32 | (33) ~ (all_50_0 = 0) & ordinal(all_50_1) = 0 & ordinal(all_50_2) =
% 144.03/20.32 | all_50_0 & in(all_50_2, all_50_1) = 0 & $i(all_50_1) & $i(all_50_2)
% 144.03/20.32 |
% 144.03/20.32 | ALPHA: (33) implies:
% 144.03/20.32 | (34) ~ (all_50_0 = 0)
% 144.03/20.32 | (35) $i(all_50_2)
% 144.03/20.32 | (36) $i(all_50_1)
% 144.03/20.32 | (37) in(all_50_2, all_50_1) = 0
% 144.03/20.32 | (38) ordinal(all_50_2) = all_50_0
% 144.03/20.32 | (39) ordinal(all_50_1) = 0
% 144.03/20.32 |
% 144.03/20.32 | GROUND_INST: instantiating (1) with all_50_1, all_50_2, simplifying with (35),
% 144.03/20.32 | (36), (37) gives:
% 144.03/20.32 | (40) ? [v0: int] : ( ~ (v0 = 0) & in(all_50_1, all_50_2) = v0)
% 144.03/20.32 |
% 144.03/20.32 | GROUND_INST: instantiating (t7_tarski) with all_50_2, all_50_1, simplifying
% 144.03/20.32 | with (35), (36), (37) gives:
% 144.03/20.32 | (41) ? [v0: $i] : (in(v0, all_50_1) = 0 & $i(v0) & ! [v1: $i] : ( ~
% 144.03/20.32 | (in(v1, v0) = 0) | ~ $i(v1) | ? [v2: int] : ( ~ (v2 = 0) &
% 144.03/20.32 | in(v1, all_50_1) = v2)) & ! [v1: $i] : ( ~ (in(v1, all_50_1) =
% 144.03/20.32 | 0) | ~ $i(v1) | ? [v2: int] : ( ~ (v2 = 0) & in(v1, v0) =
% 144.03/20.32 | v2)))
% 144.03/20.32 |
% 144.03/20.32 | GROUND_INST: instantiating (15) with all_50_2, all_50_1, empty_set,
% 144.03/20.32 | simplifying with (11), (16), (35), (36), (37) gives:
% 144.03/20.32 | (42) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & powerset(empty_set) = v0 &
% 144.03/20.32 | element(all_50_1, v0) = v1 & $i(v0))
% 144.03/20.32 |
% 144.03/20.32 | GROUND_INST: instantiating (15) with all_50_2, all_50_1, all_29_0, simplifying
% 144.03/20.32 | with (22), (23), (35), (36), (37) gives:
% 144.03/20.32 | (43) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & powerset(all_29_0) = v0 &
% 144.03/20.32 | element(all_50_1, v0) = v1 & $i(v0))
% 144.03/20.32 |
% 144.03/20.32 | GROUND_INST: instantiating (15) with all_50_2, all_50_1, all_31_0, simplifying
% 144.03/20.32 | with (25), (26), (35), (36), (37) gives:
% 144.03/20.32 | (44) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & powerset(all_31_0) = v0 &
% 144.03/20.32 | element(all_50_1, v0) = v1 & $i(v0))
% 144.03/20.32 |
% 144.03/20.33 | GROUND_INST: instantiating (t8_boole) with all_29_0, all_31_0, simplifying
% 144.03/20.33 | with (22), (23), (25), (26) gives:
% 144.03/20.33 | (45) all_31_0 = all_29_0
% 144.03/20.33 |
% 144.03/20.33 | GROUND_INST: instantiating (15) with all_50_2, all_50_1, all_48_0, simplifying
% 144.03/20.33 | with (31), (32), (35), (36), (37) gives:
% 144.03/20.33 | (46) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & powerset(all_48_0) = v0 &
% 144.03/20.33 | element(all_50_1, v0) = v1 & $i(v0))
% 144.03/20.33 |
% 144.03/20.33 | GROUND_INST: instantiating (t8_boole) with all_31_0, all_48_0, simplifying
% 144.03/20.33 | with (25), (26), (31), (32) gives:
% 144.03/20.33 | (47) all_48_0 = all_31_0
% 144.03/20.33 |
% 144.03/20.33 | GROUND_INST: instantiating (17) with all_48_0, simplifying with (31), (32)
% 144.03/20.33 | gives:
% 144.03/20.33 | (48) all_48_0 = empty_set
% 144.03/20.33 |
% 144.03/20.33 | GROUND_INST: instantiating (10) with all_50_2, all_50_0, simplifying with
% 144.03/20.33 | (35), (38) gives:
% 144.03/20.33 | (49) all_50_0 = 0 | ? [v0: any] : ? [v1: any] :
% 144.03/20.33 | (epsilon_transitive(all_50_2) = v0 & epsilon_connected(all_50_2) = v1
% 144.03/20.33 | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 144.03/20.33 |
% 144.03/20.33 | GROUND_INST: instantiating (9) with all_50_1, simplifying with (36), (39)
% 144.03/20.33 | gives:
% 144.03/20.33 | (50) epsilon_transitive(all_50_1) = 0 & epsilon_connected(all_50_1) = 0
% 144.03/20.33 |
% 144.03/20.33 | ALPHA: (50) implies:
% 144.03/20.33 | (51) epsilon_connected(all_50_1) = 0
% 144.03/20.33 | (52) epsilon_transitive(all_50_1) = 0
% 144.03/20.33 |
% 144.03/20.33 | COMBINE_EQS: (47), (48) imply:
% 144.03/20.33 | (53) all_31_0 = empty_set
% 144.03/20.33 |
% 144.03/20.33 | SIMP: (53) implies:
% 144.03/20.33 | (54) all_31_0 = empty_set
% 144.03/20.33 |
% 144.03/20.33 | COMBINE_EQS: (45), (54) imply:
% 144.03/20.33 | (55) all_29_0 = empty_set
% 144.03/20.33 |
% 144.03/20.33 | SIMP: (55) implies:
% 144.03/20.33 | (56) all_29_0 = empty_set
% 144.03/20.33 |
% 144.03/20.33 | DELTA: instantiating (40) with fresh symbol all_60_0 gives:
% 144.03/20.33 | (57) ~ (all_60_0 = 0) & in(all_50_1, all_50_2) = all_60_0
% 144.03/20.33 |
% 144.03/20.33 | ALPHA: (57) implies:
% 144.03/20.33 | (58) ~ (all_60_0 = 0)
% 144.03/20.33 | (59) in(all_50_1, all_50_2) = all_60_0
% 144.03/20.33 |
% 144.03/20.33 | DELTA: instantiating (43) with fresh symbols all_66_0, all_66_1 gives:
% 144.03/20.33 | (60) ~ (all_66_0 = 0) & powerset(all_29_0) = all_66_1 & element(all_50_1,
% 144.03/20.33 | all_66_1) = all_66_0 & $i(all_66_1)
% 144.03/20.33 |
% 144.03/20.33 | ALPHA: (60) implies:
% 144.03/20.33 | (61) element(all_50_1, all_66_1) = all_66_0
% 144.03/20.33 | (62) powerset(all_29_0) = all_66_1
% 144.03/20.33 |
% 144.03/20.33 | DELTA: instantiating (44) with fresh symbols all_68_0, all_68_1 gives:
% 144.03/20.33 | (63) ~ (all_68_0 = 0) & powerset(all_31_0) = all_68_1 & element(all_50_1,
% 144.03/20.33 | all_68_1) = all_68_0 & $i(all_68_1)
% 144.03/20.33 |
% 144.03/20.33 | ALPHA: (63) implies:
% 144.03/20.33 | (64) ~ (all_68_0 = 0)
% 144.03/20.33 | (65) element(all_50_1, all_68_1) = all_68_0
% 144.03/20.33 | (66) powerset(all_31_0) = all_68_1
% 144.03/20.33 |
% 144.03/20.33 | DELTA: instantiating (42) with fresh symbols all_70_0, all_70_1 gives:
% 144.03/20.33 | (67) ~ (all_70_0 = 0) & powerset(empty_set) = all_70_1 & element(all_50_1,
% 144.03/20.33 | all_70_1) = all_70_0 & $i(all_70_1)
% 144.03/20.33 |
% 144.03/20.33 | ALPHA: (67) implies:
% 144.03/20.33 | (68) element(all_50_1, all_70_1) = all_70_0
% 144.03/20.33 | (69) powerset(empty_set) = all_70_1
% 144.03/20.33 |
% 144.03/20.33 | DELTA: instantiating (46) with fresh symbols all_72_0, all_72_1 gives:
% 144.03/20.33 | (70) ~ (all_72_0 = 0) & powerset(all_48_0) = all_72_1 & element(all_50_1,
% 144.03/20.33 | all_72_1) = all_72_0 & $i(all_72_1)
% 144.03/20.33 |
% 144.03/20.33 | ALPHA: (70) implies:
% 144.03/20.33 | (71) element(all_50_1, all_72_1) = all_72_0
% 144.03/20.33 | (72) powerset(all_48_0) = all_72_1
% 144.03/20.33 |
% 144.03/20.33 | DELTA: instantiating (41) with fresh symbol all_106_0 gives:
% 144.03/20.33 | (73) in(all_106_0, all_50_1) = 0 & $i(all_106_0) & ! [v0: $i] : ( ~
% 144.03/20.33 | (in(v0, all_106_0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 144.03/20.33 | in(v0, all_50_1) = v1)) & ! [v0: $i] : ( ~ (in(v0, all_50_1) = 0)
% 144.03/20.33 | | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & in(v0, all_106_0) = v1))
% 144.03/20.33 |
% 144.03/20.33 | ALPHA: (73) implies:
% 144.03/20.33 | (74) $i(all_106_0)
% 144.03/20.33 | (75) in(all_106_0, all_50_1) = 0
% 144.03/20.34 | (76) ! [v0: $i] : ( ~ (in(v0, all_50_1) = 0) | ~ $i(v0) | ? [v1: int] :
% 144.03/20.34 | ( ~ (v1 = 0) & in(v0, all_106_0) = v1))
% 144.03/20.34 |
% 144.03/20.34 | GROUND_INST: instantiating (76) with all_50_2, simplifying with (35), (37)
% 144.03/20.34 | gives:
% 144.03/20.34 | (77) ? [v0: int] : ( ~ (v0 = 0) & in(all_50_2, all_106_0) = v0)
% 144.03/20.34 |
% 144.03/20.34 | DELTA: instantiating (77) with fresh symbol all_109_0 gives:
% 144.03/20.34 | (78) ~ (all_109_0 = 0) & in(all_50_2, all_106_0) = all_109_0
% 144.03/20.34 |
% 144.03/20.34 | ALPHA: (78) implies:
% 144.03/20.34 | (79) in(all_50_2, all_106_0) = all_109_0
% 144.03/20.34 |
% 144.03/20.34 | REDUCE: (48), (72) imply:
% 144.03/20.34 | (80) powerset(empty_set) = all_72_1
% 144.03/20.34 |
% 144.03/20.34 | REDUCE: (54), (66) imply:
% 144.03/20.34 | (81) powerset(empty_set) = all_68_1
% 144.03/20.34 |
% 144.03/20.34 | REDUCE: (56), (62) imply:
% 144.03/20.34 | (82) powerset(empty_set) = all_66_1
% 144.03/20.34 |
% 144.03/20.34 | BETA: splitting (49) gives:
% 144.03/20.34 |
% 144.03/20.34 | Case 1:
% 144.03/20.34 | |
% 144.03/20.34 | | (83) all_50_0 = 0
% 144.03/20.34 | |
% 144.03/20.34 | | REDUCE: (34), (83) imply:
% 144.03/20.34 | | (84) $false
% 144.03/20.34 | |
% 144.03/20.34 | | CLOSE: (84) is inconsistent.
% 144.03/20.34 | |
% 144.03/20.34 | Case 2:
% 144.03/20.34 | |
% 144.03/20.34 | | (85) ? [v0: any] : ? [v1: any] : (epsilon_transitive(all_50_2) = v0 &
% 144.03/20.34 | | epsilon_connected(all_50_2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 144.03/20.34 | |
% 144.03/20.34 | | DELTA: instantiating (85) with fresh symbols all_115_0, all_115_1 gives:
% 144.03/20.34 | | (86) epsilon_transitive(all_50_2) = all_115_1 &
% 144.03/20.34 | | epsilon_connected(all_50_2) = all_115_0 & ( ~ (all_115_0 = 0) | ~
% 144.03/20.34 | | (all_115_1 = 0))
% 144.03/20.34 | |
% 144.03/20.34 | | ALPHA: (86) implies:
% 144.03/20.34 | | (87) epsilon_connected(all_50_2) = all_115_0
% 144.03/20.34 | | (88) epsilon_transitive(all_50_2) = all_115_1
% 144.03/20.34 | | (89) ~ (all_115_0 = 0) | ~ (all_115_1 = 0)
% 144.03/20.34 | |
% 144.03/20.34 | | GROUND_INST: instantiating (18) with all_70_1, all_72_1, empty_set,
% 144.03/20.34 | | simplifying with (69), (80) gives:
% 144.03/20.34 | | (90) all_72_1 = all_70_1
% 144.03/20.34 | |
% 144.03/20.34 | | GROUND_INST: instantiating (18) with all_68_1, all_72_1, empty_set,
% 144.03/20.34 | | simplifying with (80), (81) gives:
% 144.03/20.34 | | (91) all_72_1 = all_68_1
% 144.03/20.34 | |
% 144.03/20.34 | | GROUND_INST: instantiating (18) with all_66_1, all_72_1, empty_set,
% 144.03/20.34 | | simplifying with (80), (82) gives:
% 144.03/20.34 | | (92) all_72_1 = all_66_1
% 144.03/20.34 | |
% 144.03/20.34 | | COMBINE_EQS: (90), (92) imply:
% 144.03/20.34 | | (93) all_70_1 = all_66_1
% 144.03/20.34 | |
% 144.03/20.34 | | COMBINE_EQS: (90), (91) imply:
% 144.03/20.34 | | (94) all_70_1 = all_68_1
% 144.03/20.34 | |
% 144.03/20.34 | | COMBINE_EQS: (93), (94) imply:
% 144.03/20.34 | | (95) all_68_1 = all_66_1
% 144.03/20.34 | |
% 144.03/20.34 | | REDUCE: (71), (92) imply:
% 144.03/20.34 | | (96) element(all_50_1, all_66_1) = all_72_0
% 144.03/20.34 | |
% 144.03/20.34 | | REDUCE: (68), (93) imply:
% 144.03/20.34 | | (97) element(all_50_1, all_66_1) = all_70_0
% 144.03/20.34 | |
% 144.03/20.34 | | REDUCE: (65), (95) imply:
% 144.03/20.34 | | (98) element(all_50_1, all_66_1) = all_68_0
% 144.03/20.34 | |
% 144.03/20.34 | | GROUND_INST: instantiating (20) with all_66_0, all_72_0, all_66_1, all_50_1,
% 144.03/20.34 | | simplifying with (61), (96) gives:
% 144.03/20.34 | | (99) all_72_0 = all_66_0
% 144.03/20.34 | |
% 144.03/20.34 | | GROUND_INST: instantiating (20) with all_70_0, all_72_0, all_66_1, all_50_1,
% 144.03/20.34 | | simplifying with (96), (97) gives:
% 144.03/20.34 | | (100) all_72_0 = all_70_0
% 144.03/20.34 | |
% 144.03/20.34 | | GROUND_INST: instantiating (20) with all_68_0, all_72_0, all_66_1, all_50_1,
% 144.03/20.34 | | simplifying with (96), (98) gives:
% 144.03/20.34 | | (101) all_72_0 = all_68_0
% 144.03/20.34 | |
% 144.03/20.34 | | COMBINE_EQS: (100), (101) imply:
% 144.03/20.34 | | (102) all_70_0 = all_68_0
% 144.03/20.34 | |
% 144.03/20.35 | | COMBINE_EQS: (99), (100) imply:
% 144.03/20.35 | | (103) all_70_0 = all_66_0
% 144.03/20.35 | |
% 144.03/20.35 | | COMBINE_EQS: (102), (103) imply:
% 144.03/20.35 | | (104) all_68_0 = all_66_0
% 144.03/20.35 | |
% 144.03/20.35 | | SIMP: (104) implies:
% 144.03/20.35 | | (105) all_68_0 = all_66_0
% 144.03/20.35 | |
% 144.03/20.35 | | REDUCE: (64), (105) imply:
% 144.03/20.35 | | (106) ~ (all_66_0 = 0)
% 144.03/20.35 | |
% 144.03/20.35 | | GROUND_INST: instantiating (12) with all_50_1, all_50_2, all_60_0,
% 144.03/20.35 | | simplifying with (35), (36), (59) gives:
% 144.03/20.35 | | (107) all_60_0 = 0 | ? [v0: any] : ? [v1: any] : (element(all_50_1,
% 144.03/20.35 | | all_50_2) = v0 & empty(all_50_2) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 144.03/20.35 | |
% 144.03/20.35 | | GROUND_INST: instantiating (4) with all_50_2, all_115_0, simplifying with
% 144.03/20.35 | | (35), (87) gives:
% 144.03/20.35 | | (108) all_115_0 = 0 | ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ? [v3:
% 144.03/20.35 | | int] : ( ~ (v3 = 0) & ~ (v2 = 0) & ~ (v1 = v0) & in(v1, v0) =
% 144.03/20.35 | | v3 & in(v1, all_50_2) = 0 & in(v0, v1) = v2 & in(v0, all_50_2) =
% 144.03/20.35 | | 0 & $i(v1) & $i(v0))
% 144.03/20.35 | |
% 144.03/20.35 | | GROUND_INST: instantiating (5) with all_50_1, all_50_2, all_106_0,
% 144.03/20.35 | | all_109_0, simplifying with (35), (36), (51), (74), (79) gives:
% 144.03/20.35 | | (109) all_109_0 = 0 | all_106_0 = all_50_2 | ? [v0: any] : ? [v1: any]
% 144.03/20.35 | | : ? [v2: any] : (in(all_106_0, all_50_1) = v1 & in(all_106_0,
% 144.03/20.35 | | all_50_2) = v2 & in(all_50_2, all_50_1) = v0 & ( ~ (v1 = 0) |
% 144.03/20.35 | | ~ (v0 = 0) | v2 = 0))
% 144.03/20.35 | |
% 144.03/20.35 | | GROUND_INST: instantiating (3) with all_50_2, all_115_1, simplifying with
% 144.03/20.35 | | (35), (88) gives:
% 144.03/20.35 | | (110) all_115_1 = 0 | ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) &
% 144.03/20.35 | | subset(v0, all_50_2) = v1 & in(v0, all_50_2) = 0 & $i(v0))
% 144.03/20.35 | |
% 144.03/20.35 | | GROUND_INST: instantiating (2) with all_50_1, all_50_2, simplifying with
% 144.03/20.35 | | (35), (36), (37), (52) gives:
% 144.03/20.35 | | (111) subset(all_50_2, all_50_1) = 0
% 144.03/20.35 | |
% 144.03/20.35 | | GROUND_INST: instantiating (14) with all_50_1, empty_set, all_66_1,
% 144.03/20.35 | | all_66_0, simplifying with (16), (36), (61), (82) gives:
% 144.03/20.35 | | (112) all_66_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & subset(all_50_1,
% 144.03/20.35 | | empty_set) = v0)
% 144.03/20.35 | |
% 144.03/20.35 | | DELTA: instantiating (41) with fresh symbol all_153_0 gives:
% 144.03/20.35 | | (113) in(all_153_0, all_50_1) = 0 & $i(all_153_0) & ! [v0: $i] : ( ~
% 144.03/20.35 | | (in(v0, all_153_0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0)
% 144.03/20.35 | | & in(v0, all_50_1) = v1)) & ! [v0: $i] : ( ~ (in(v0, all_50_1)
% 144.03/20.35 | | = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & in(v0,
% 144.03/20.35 | | all_153_0) = v1))
% 144.03/20.35 | |
% 144.03/20.35 | | ALPHA: (113) implies:
% 144.03/20.35 | | (114) $i(all_153_0)
% 144.03/20.35 | | (115) in(all_153_0, all_50_1) = 0
% 144.03/20.35 | | (116) ! [v0: $i] : ( ~ (in(v0, all_50_1) = 0) | ~ $i(v0) | ? [v1: int]
% 144.03/20.35 | | : ( ~ (v1 = 0) & in(v0, all_153_0) = v1))
% 144.03/20.35 | |
% 144.03/20.35 | | GROUND_INST: instantiating (116) with all_50_2, simplifying with (35), (37)
% 144.03/20.35 | | gives:
% 144.03/20.35 | | (117) ? [v0: int] : ( ~ (v0 = 0) & in(all_50_2, all_153_0) = v0)
% 144.03/20.35 | |
% 144.03/20.35 | | GROUND_INST: instantiating (116) with all_106_0, simplifying with (74), (75)
% 144.03/20.35 | | gives:
% 144.03/20.35 | | (118) ? [v0: int] : ( ~ (v0 = 0) & in(all_106_0, all_153_0) = v0)
% 144.03/20.35 | |
% 144.03/20.35 | | DELTA: instantiating (118) with fresh symbol all_156_0 gives:
% 144.03/20.35 | | (119) ~ (all_156_0 = 0) & in(all_106_0, all_153_0) = all_156_0
% 144.03/20.35 | |
% 144.03/20.35 | | ALPHA: (119) implies:
% 144.03/20.35 | | (120) ~ (all_156_0 = 0)
% 144.03/20.35 | | (121) in(all_106_0, all_153_0) = all_156_0
% 144.03/20.35 | |
% 144.03/20.35 | | DELTA: instantiating (117) with fresh symbol all_158_0 gives:
% 144.03/20.35 | | (122) ~ (all_158_0 = 0) & in(all_50_2, all_153_0) = all_158_0
% 144.03/20.35 | |
% 144.03/20.35 | | ALPHA: (122) implies:
% 144.03/20.35 | | (123) in(all_50_2, all_153_0) = all_158_0
% 144.03/20.35 | |
% 144.03/20.35 | | BETA: splitting (112) gives:
% 144.03/20.35 | |
% 144.03/20.35 | | Case 1:
% 144.03/20.35 | | |
% 144.03/20.35 | | | (124) all_66_0 = 0
% 144.03/20.35 | | |
% 144.03/20.35 | | | REDUCE: (106), (124) imply:
% 144.03/20.35 | | | (125) $false
% 144.03/20.35 | | |
% 144.03/20.35 | | | CLOSE: (125) is inconsistent.
% 144.03/20.35 | | |
% 144.03/20.35 | | Case 2:
% 144.03/20.35 | | |
% 144.03/20.35 | | | (126) ? [v0: int] : ( ~ (v0 = 0) & subset(all_50_1, empty_set) = v0)
% 144.03/20.35 | | |
% 144.03/20.35 | | | DELTA: instantiating (126) with fresh symbol all_164_0 gives:
% 144.03/20.35 | | | (127) ~ (all_164_0 = 0) & subset(all_50_1, empty_set) = all_164_0
% 144.03/20.35 | | |
% 144.03/20.35 | | | ALPHA: (127) implies:
% 144.03/20.35 | | | (128) ~ (all_164_0 = 0)
% 144.03/20.36 | | | (129) subset(all_50_1, empty_set) = all_164_0
% 144.03/20.36 | | |
% 144.03/20.36 | | | BETA: splitting (107) gives:
% 144.03/20.36 | | |
% 144.03/20.36 | | | Case 1:
% 144.03/20.36 | | | |
% 144.03/20.36 | | | | (130) all_60_0 = 0
% 144.03/20.36 | | | |
% 144.03/20.36 | | | | REDUCE: (58), (130) imply:
% 144.03/20.36 | | | | (131) $false
% 144.03/20.36 | | | |
% 144.03/20.36 | | | | CLOSE: (131) is inconsistent.
% 144.03/20.36 | | | |
% 144.03/20.36 | | | Case 2:
% 144.03/20.36 | | | |
% 144.03/20.36 | | | |
% 144.03/20.36 | | | | GROUND_INST: instantiating (6) with all_50_1, all_153_0, all_106_0,
% 144.03/20.36 | | | | all_156_0, simplifying with (36), (51), (74), (114), (121)
% 144.03/20.36 | | | | gives:
% 144.03/20.36 | | | | (132) all_156_0 = 0 | all_153_0 = all_106_0 | ? [v0: any] : ? [v1:
% 144.03/20.36 | | | | any] : ? [v2: any] : (in(all_153_0, all_106_0) = v2 &
% 144.03/20.36 | | | | in(all_153_0, all_50_1) = v0 & in(all_106_0, all_50_1) = v1 &
% 144.03/20.36 | | | | ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 144.03/20.36 | | | |
% 144.03/20.36 | | | | GROUND_INST: instantiating (6) with all_46_0, all_153_0, all_106_0,
% 144.03/20.36 | | | | all_156_0, simplifying with (28), (29), (74), (114), (121)
% 144.03/20.36 | | | | gives:
% 144.03/20.36 | | | | (133) all_156_0 = 0 | all_153_0 = all_106_0 | ? [v0: any] : ? [v1:
% 144.03/20.36 | | | | any] : ? [v2: any] : (in(all_153_0, all_106_0) = v2 &
% 144.03/20.36 | | | | in(all_153_0, all_46_0) = v0 & in(all_106_0, all_46_0) = v1 &
% 144.03/20.36 | | | | ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 144.03/20.36 | | | |
% 144.03/20.36 | | | | GROUND_INST: instantiating (5) with all_46_0, all_106_0, all_153_0,
% 144.03/20.36 | | | | all_156_0, simplifying with (28), (29), (74), (114), (121)
% 144.03/20.36 | | | | gives:
% 144.03/20.36 | | | | (134) all_156_0 = 0 | all_153_0 = all_106_0 | ? [v0: any] : ? [v1:
% 144.03/20.36 | | | | any] : ? [v2: any] : (in(all_153_0, all_106_0) = v2 &
% 144.03/20.36 | | | | in(all_153_0, all_46_0) = v1 & in(all_106_0, all_46_0) = v0 &
% 144.03/20.36 | | | | ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 144.03/20.36 | | | |
% 144.03/20.36 | | | | GROUND_INST: instantiating (76) with all_153_0, simplifying with (114),
% 144.03/20.36 | | | | (115) gives:
% 144.03/20.36 | | | | (135) ? [v0: int] : ( ~ (v0 = 0) & in(all_153_0, all_106_0) = v0)
% 144.03/20.36 | | | |
% 144.03/20.36 | | | | GROUND_INST: instantiating (8) with all_50_1, empty_set, all_164_0,
% 144.03/20.36 | | | | simplifying with (16), (36), (129) gives:
% 144.03/20.36 | | | | (136) all_164_0 = 0 | ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) &
% 144.03/20.36 | | | | in(v0, all_50_1) = 0 & in(v0, empty_set) = v1 & $i(v0))
% 144.03/20.36 | | | |
% 144.03/20.36 | | | | DELTA: instantiating (135) with fresh symbol all_199_0 gives:
% 144.03/20.36 | | | | (137) ~ (all_199_0 = 0) & in(all_153_0, all_106_0) = all_199_0
% 144.03/20.36 | | | |
% 144.03/20.36 | | | | ALPHA: (137) implies:
% 144.03/20.36 | | | | (138) ~ (all_199_0 = 0)
% 144.03/20.36 | | | | (139) in(all_153_0, all_106_0) = all_199_0
% 144.03/20.36 | | | |
% 144.03/20.36 | | | | DELTA: instantiating (41) with fresh symbol all_211_0 gives:
% 144.03/20.36 | | | | (140) in(all_211_0, all_50_1) = 0 & $i(all_211_0) & ! [v0: $i] : ( ~
% 144.03/20.36 | | | | (in(v0, all_211_0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1
% 144.03/20.36 | | | | = 0) & in(v0, all_50_1) = v1)) & ! [v0: $i] : ( ~
% 144.03/20.36 | | | | (in(v0, all_50_1) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 =
% 144.03/20.36 | | | | 0) & in(v0, all_211_0) = v1))
% 144.03/20.36 | | | |
% 144.03/20.36 | | | | ALPHA: (140) implies:
% 144.03/20.36 | | | | (141) $i(all_211_0)
% 144.03/20.36 | | | | (142) in(all_211_0, all_50_1) = 0
% 144.03/20.36 | | | | (143) ! [v0: $i] : ( ~ (in(v0, all_50_1) = 0) | ~ $i(v0) | ? [v1:
% 144.03/20.36 | | | | int] : ( ~ (v1 = 0) & in(v0, all_211_0) = v1))
% 144.03/20.36 | | | |
% 144.03/20.36 | | | | GROUND_INST: instantiating (143) with all_50_2, simplifying with (35),
% 144.03/20.36 | | | | (37) gives:
% 144.03/20.36 | | | | (144) ? [v0: int] : ( ~ (v0 = 0) & in(all_50_2, all_211_0) = v0)
% 144.03/20.36 | | | |
% 144.03/20.36 | | | | GROUND_INST: instantiating (143) with all_106_0, simplifying with (74),
% 144.03/20.36 | | | | (75) gives:
% 144.03/20.36 | | | | (145) ? [v0: int] : ( ~ (v0 = 0) & in(all_106_0, all_211_0) = v0)
% 144.03/20.36 | | | |
% 144.03/20.36 | | | | GROUND_INST: instantiating (143) with all_153_0, simplifying with (114),
% 144.03/20.36 | | | | (115) gives:
% 144.03/20.36 | | | | (146) ? [v0: int] : ( ~ (v0 = 0) & in(all_153_0, all_211_0) = v0)
% 144.03/20.36 | | | |
% 144.03/20.36 | | | | DELTA: instantiating (146) with fresh symbol all_214_0 gives:
% 144.03/20.36 | | | | (147) ~ (all_214_0 = 0) & in(all_153_0, all_211_0) = all_214_0
% 144.03/20.36 | | | |
% 144.03/20.36 | | | | ALPHA: (147) implies:
% 144.03/20.36 | | | | (148) in(all_153_0, all_211_0) = all_214_0
% 144.03/20.36 | | | |
% 144.03/20.36 | | | | DELTA: instantiating (145) with fresh symbol all_216_0 gives:
% 144.03/20.36 | | | | (149) ~ (all_216_0 = 0) & in(all_106_0, all_211_0) = all_216_0
% 144.03/20.36 | | | |
% 144.03/20.36 | | | | ALPHA: (149) implies:
% 144.03/20.36 | | | | (150) ~ (all_216_0 = 0)
% 144.03/20.36 | | | | (151) in(all_106_0, all_211_0) = all_216_0
% 144.03/20.36 | | | |
% 144.03/20.36 | | | | DELTA: instantiating (144) with fresh symbol all_218_0 gives:
% 144.03/20.36 | | | | (152) ~ (all_218_0 = 0) & in(all_50_2, all_211_0) = all_218_0
% 144.03/20.36 | | | |
% 144.03/20.36 | | | | ALPHA: (152) implies:
% 144.03/20.36 | | | | (153) ~ (all_218_0 = 0)
% 144.03/20.36 | | | | (154) in(all_50_2, all_211_0) = all_218_0
% 144.03/20.36 | | | |
% 144.03/20.36 | | | | BETA: splitting (136) gives:
% 144.03/20.36 | | | |
% 144.03/20.36 | | | | Case 1:
% 144.03/20.36 | | | | |
% 144.03/20.36 | | | | | (155) all_164_0 = 0
% 144.03/20.36 | | | | |
% 144.03/20.36 | | | | | REDUCE: (128), (155) imply:
% 144.03/20.36 | | | | | (156) $false
% 144.03/20.36 | | | | |
% 144.03/20.36 | | | | | CLOSE: (156) is inconsistent.
% 144.03/20.36 | | | | |
% 144.03/20.36 | | | | Case 2:
% 144.03/20.36 | | | | |
% 144.03/20.36 | | | | | (157) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & in(v0, all_50_1)
% 144.03/20.36 | | | | | = 0 & in(v0, empty_set) = v1 & $i(v0))
% 144.03/20.36 | | | | |
% 144.03/20.36 | | | | | DELTA: instantiating (157) with fresh symbols all_227_0, all_227_1
% 144.03/20.36 | | | | | gives:
% 144.03/20.37 | | | | | (158) ~ (all_227_0 = 0) & in(all_227_1, all_50_1) = 0 &
% 144.03/20.37 | | | | | in(all_227_1, empty_set) = all_227_0 & $i(all_227_1)
% 144.03/20.37 | | | | |
% 144.03/20.37 | | | | | ALPHA: (158) implies:
% 144.03/20.37 | | | | | (159) $i(all_227_1)
% 144.03/20.37 | | | | | (160) in(all_227_1, all_50_1) = 0
% 144.03/20.37 | | | | |
% 144.03/20.37 | | | | | BETA: splitting (132) gives:
% 144.03/20.37 | | | | |
% 144.03/20.37 | | | | | Case 1:
% 144.03/20.37 | | | | | |
% 144.03/20.37 | | | | | | (161) all_156_0 = 0
% 144.03/20.37 | | | | | |
% 144.03/20.37 | | | | | | REDUCE: (120), (161) imply:
% 144.03/20.37 | | | | | | (162) $false
% 144.03/20.37 | | | | | |
% 144.03/20.37 | | | | | | CLOSE: (162) is inconsistent.
% 144.03/20.37 | | | | | |
% 144.03/20.37 | | | | | Case 2:
% 144.03/20.37 | | | | | |
% 144.03/20.37 | | | | | | (163) all_153_0 = all_106_0 | ? [v0: any] : ? [v1: any] : ?
% 144.03/20.37 | | | | | | [v2: any] : (in(all_153_0, all_106_0) = v2 & in(all_153_0,
% 144.03/20.37 | | | | | | all_50_1) = v0 & in(all_106_0, all_50_1) = v1 & ( ~ (v1
% 144.03/20.37 | | | | | | = 0) | ~ (v0 = 0) | v2 = 0))
% 144.03/20.37 | | | | | |
% 144.03/20.37 | | | | | | BETA: splitting (163) gives:
% 144.03/20.37 | | | | | |
% 144.03/20.37 | | | | | | Case 1:
% 144.03/20.37 | | | | | | |
% 144.03/20.37 | | | | | | | (164) all_153_0 = all_106_0
% 144.03/20.37 | | | | | | |
% 144.03/20.37 | | | | | | | REDUCE: (148), (164) imply:
% 144.03/20.37 | | | | | | | (165) in(all_106_0, all_211_0) = all_214_0
% 144.03/20.37 | | | | | | |
% 144.03/20.37 | | | | | | | REDUCE: (123), (164) imply:
% 144.03/20.37 | | | | | | | (166) in(all_50_2, all_106_0) = all_158_0
% 144.03/20.37 | | | | | | |
% 144.03/20.37 | | | | | | | GROUND_INST: instantiating (19) with all_109_0, all_158_0,
% 144.03/20.37 | | | | | | | all_106_0, all_50_2, simplifying with (79), (166)
% 144.03/20.37 | | | | | | | gives:
% 144.03/20.37 | | | | | | | (167) all_158_0 = all_109_0
% 144.03/20.37 | | | | | | |
% 144.03/20.37 | | | | | | | GROUND_INST: instantiating (19) with all_214_0, all_216_0,
% 144.03/20.37 | | | | | | | all_211_0, all_106_0, simplifying with (151), (165)
% 144.03/20.37 | | | | | | | gives:
% 144.03/20.37 | | | | | | | (168) all_216_0 = all_214_0
% 144.03/20.37 | | | | | | |
% 144.03/20.37 | | | | | | | REDUCE: (150), (168) imply:
% 144.03/20.37 | | | | | | | (169) ~ (all_214_0 = 0)
% 144.03/20.37 | | | | | | |
% 144.03/20.37 | | | | | | | GROUND_INST: instantiating (5) with all_50_1, all_106_0,
% 144.03/20.37 | | | | | | | all_211_0, all_214_0, simplifying with (36), (51),
% 144.03/20.37 | | | | | | | (74), (141), (165) gives:
% 144.03/20.37 | | | | | | | (170) all_214_0 = 0 | all_211_0 = all_106_0 | ? [v0: any] : ?
% 144.03/20.37 | | | | | | | [v1: any] : ? [v2: any] : (in(all_211_0, all_106_0) = v2
% 144.03/20.37 | | | | | | | & in(all_211_0, all_50_1) = v1 & in(all_106_0,
% 144.03/20.37 | | | | | | | all_50_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 =
% 144.03/20.37 | | | | | | | 0))
% 144.03/20.37 | | | | | | |
% 144.03/20.37 | | | | | | | GROUND_INST: instantiating (6) with all_46_0, all_211_0,
% 144.03/20.37 | | | | | | | all_106_0, all_214_0, simplifying with (28), (29),
% 144.03/20.37 | | | | | | | (74), (141), (165) gives:
% 144.03/20.37 | | | | | | | (171) all_214_0 = 0 | all_211_0 = all_106_0 | ? [v0: any] : ?
% 144.03/20.37 | | | | | | | [v1: any] : ? [v2: any] : (in(all_211_0, all_106_0) = v2
% 144.03/20.37 | | | | | | | & in(all_211_0, all_46_0) = v0 & in(all_106_0,
% 144.03/20.37 | | | | | | | all_46_0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 =
% 144.03/20.37 | | | | | | | 0))
% 144.03/20.37 | | | | | | |
% 144.03/20.37 | | | | | | | GROUND_INST: instantiating (5) with all_46_0, all_106_0,
% 144.03/20.37 | | | | | | | all_211_0, all_214_0, simplifying with (28), (29),
% 144.03/20.37 | | | | | | | (74), (141), (165) gives:
% 144.03/20.37 | | | | | | | (172) all_214_0 = 0 | all_211_0 = all_106_0 | ? [v0: any] : ?
% 144.03/20.37 | | | | | | | [v1: any] : ? [v2: any] : (in(all_211_0, all_106_0) = v2
% 144.03/20.37 | | | | | | | & in(all_211_0, all_46_0) = v1 & in(all_106_0,
% 144.03/20.37 | | | | | | | all_46_0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 =
% 144.03/20.37 | | | | | | | 0))
% 144.03/20.37 | | | | | | |
% 144.03/20.37 | | | | | | | GROUND_INST: instantiating (116) with all_211_0, simplifying with
% 144.03/20.37 | | | | | | | (141), (142) gives:
% 144.03/20.37 | | | | | | | (173) ? [v0: int] : ( ~ (v0 = 0) & in(all_211_0, all_153_0) =
% 144.03/20.37 | | | | | | | v0)
% 144.03/20.37 | | | | | | |
% 144.03/20.37 | | | | | | | GROUND_INST: instantiating (76) with all_211_0, simplifying with
% 144.03/20.37 | | | | | | | (141), (142) gives:
% 144.03/20.37 | | | | | | | (174) ? [v0: int] : ( ~ (v0 = 0) & in(all_211_0, all_106_0) =
% 144.03/20.37 | | | | | | | v0)
% 144.03/20.37 | | | | | | |
% 144.03/20.37 | | | | | | | DELTA: instantiating (174) with fresh symbol all_302_0 gives:
% 144.03/20.37 | | | | | | | (175) ~ (all_302_0 = 0) & in(all_211_0, all_106_0) = all_302_0
% 144.03/20.37 | | | | | | |
% 144.03/20.37 | | | | | | | ALPHA: (175) implies:
% 144.03/20.37 | | | | | | | (176) in(all_211_0, all_106_0) = all_302_0
% 144.03/20.37 | | | | | | |
% 144.03/20.37 | | | | | | | DELTA: instantiating (173) with fresh symbol all_304_0 gives:
% 144.03/20.37 | | | | | | | (177) ~ (all_304_0 = 0) & in(all_211_0, all_153_0) = all_304_0
% 144.03/20.37 | | | | | | |
% 144.03/20.37 | | | | | | | ALPHA: (177) implies:
% 144.03/20.37 | | | | | | | (178) ~ (all_304_0 = 0)
% 144.03/20.37 | | | | | | | (179) in(all_211_0, all_153_0) = all_304_0
% 144.03/20.37 | | | | | | |
% 144.03/20.37 | | | | | | | DELTA: instantiating (41) with fresh symbol all_320_0 gives:
% 144.03/20.37 | | | | | | | (180) in(all_320_0, all_50_1) = 0 & $i(all_320_0) & ! [v0: $i]
% 144.03/20.37 | | | | | | | : ( ~ (in(v0, all_320_0) = 0) | ~ $i(v0) | ? [v1: int]
% 144.03/20.37 | | | | | | | : ( ~ (v1 = 0) & in(v0, all_50_1) = v1)) & ! [v0: $i]
% 144.03/20.37 | | | | | | | : ( ~ (in(v0, all_50_1) = 0) | ~ $i(v0) | ? [v1: int] :
% 144.03/20.37 | | | | | | | ( ~ (v1 = 0) & in(v0, all_320_0) = v1))
% 144.03/20.37 | | | | | | |
% 144.03/20.37 | | | | | | | ALPHA: (180) implies:
% 144.03/20.37 | | | | | | | (181) $i(all_320_0)
% 144.03/20.37 | | | | | | | (182) in(all_320_0, all_50_1) = 0
% 144.03/20.37 | | | | | | | (183) ! [v0: $i] : ( ~ (in(v0, all_50_1) = 0) | ~ $i(v0) | ?
% 144.03/20.37 | | | | | | | [v1: int] : ( ~ (v1 = 0) & in(v0, all_320_0) = v1))
% 144.03/20.37 | | | | | | |
% 144.03/20.37 | | | | | | | GROUND_INST: instantiating (183) with all_106_0, simplifying with
% 144.03/20.37 | | | | | | | (74), (75) gives:
% 144.03/20.37 | | | | | | | (184) ? [v0: int] : ( ~ (v0 = 0) & in(all_106_0, all_320_0) =
% 144.03/20.37 | | | | | | | v0)
% 144.03/20.37 | | | | | | |
% 144.03/20.37 | | | | | | | GROUND_INST: instantiating (183) with all_211_0, simplifying with
% 144.03/20.37 | | | | | | | (141), (142) gives:
% 144.35/20.37 | | | | | | | (185) ? [v0: int] : ( ~ (v0 = 0) & in(all_211_0, all_320_0) =
% 144.35/20.37 | | | | | | | v0)
% 144.35/20.37 | | | | | | |
% 144.35/20.37 | | | | | | | DELTA: instantiating (185) with fresh symbol all_325_0 gives:
% 144.35/20.37 | | | | | | | (186) ~ (all_325_0 = 0) & in(all_211_0, all_320_0) = all_325_0
% 144.35/20.37 | | | | | | |
% 144.35/20.37 | | | | | | | ALPHA: (186) implies:
% 144.35/20.37 | | | | | | | (187) in(all_211_0, all_320_0) = all_325_0
% 144.35/20.37 | | | | | | |
% 144.35/20.37 | | | | | | | DELTA: instantiating (184) with fresh symbol all_327_0 gives:
% 144.35/20.38 | | | | | | | (188) ~ (all_327_0 = 0) & in(all_106_0, all_320_0) = all_327_0
% 144.35/20.38 | | | | | | |
% 144.35/20.38 | | | | | | | ALPHA: (188) implies:
% 144.35/20.38 | | | | | | | (189) ~ (all_327_0 = 0)
% 144.35/20.38 | | | | | | | (190) in(all_106_0, all_320_0) = all_327_0
% 144.35/20.38 | | | | | | |
% 144.35/20.38 | | | | | | | REDUCE: (164), (179) imply:
% 144.35/20.38 | | | | | | | (191) in(all_211_0, all_106_0) = all_304_0
% 144.35/20.38 | | | | | | |
% 144.35/20.38 | | | | | | | BETA: splitting (170) gives:
% 144.35/20.38 | | | | | | |
% 144.35/20.38 | | | | | | | Case 1:
% 144.35/20.38 | | | | | | | |
% 144.35/20.38 | | | | | | | | (192) all_214_0 = 0
% 144.35/20.38 | | | | | | | |
% 144.35/20.38 | | | | | | | | REDUCE: (169), (192) imply:
% 144.35/20.38 | | | | | | | | (193) $false
% 144.35/20.38 | | | | | | | |
% 144.35/20.38 | | | | | | | | CLOSE: (193) is inconsistent.
% 144.35/20.38 | | | | | | | |
% 144.35/20.38 | | | | | | | Case 2:
% 144.35/20.38 | | | | | | | |
% 144.35/20.38 | | | | | | | | (194) all_211_0 = all_106_0 | ? [v0: any] : ? [v1: any] :
% 144.35/20.38 | | | | | | | | ? [v2: any] : (in(all_211_0, all_106_0) = v2 &
% 144.35/20.38 | | | | | | | | in(all_211_0, all_50_1) = v1 & in(all_106_0,
% 144.35/20.38 | | | | | | | | all_50_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 =
% 144.35/20.38 | | | | | | | | 0))
% 144.35/20.38 | | | | | | | |
% 144.35/20.38 | | | | | | | | BETA: splitting (194) gives:
% 144.35/20.38 | | | | | | | |
% 144.35/20.38 | | | | | | | | Case 1:
% 144.35/20.38 | | | | | | | | |
% 144.35/20.38 | | | | | | | | | (195) all_211_0 = all_106_0
% 144.35/20.38 | | | | | | | | |
% 144.35/20.38 | | | | | | | | | REDUCE: (187), (195) imply:
% 144.35/20.38 | | | | | | | | | (196) in(all_106_0, all_320_0) = all_325_0
% 144.35/20.38 | | | | | | | | |
% 144.35/20.38 | | | | | | | | | REDUCE: (154), (195) imply:
% 144.35/20.38 | | | | | | | | | (197) in(all_50_2, all_106_0) = all_218_0
% 144.35/20.38 | | | | | | | | |
% 144.35/20.38 | | | | | | | | | GROUND_INST: instantiating (19) with all_109_0, all_218_0,
% 144.35/20.38 | | | | | | | | | all_106_0, all_50_2, simplifying with (79), (197)
% 144.35/20.38 | | | | | | | | | gives:
% 144.35/20.38 | | | | | | | | | (198) all_218_0 = all_109_0
% 144.35/20.38 | | | | | | | | |
% 144.35/20.38 | | | | | | | | | GROUND_INST: instantiating (19) with all_325_0, all_327_0,
% 144.35/20.38 | | | | | | | | | all_320_0, all_106_0, simplifying with (190),
% 144.35/20.38 | | | | | | | | | (196) gives:
% 144.35/20.38 | | | | | | | | | (199) all_327_0 = all_325_0
% 144.35/20.38 | | | | | | | | |
% 144.35/20.38 | | | | | | | | | REDUCE: (189), (199) imply:
% 144.35/20.38 | | | | | | | | | (200) ~ (all_325_0 = 0)
% 144.35/20.38 | | | | | | | | |
% 144.35/20.38 | | | | | | | | | REDUCE: (153), (198) imply:
% 144.35/20.38 | | | | | | | | | (201) ~ (all_109_0 = 0)
% 144.35/20.38 | | | | | | | | |
% 144.35/20.38 | | | | | | | | | BETA: splitting (89) gives:
% 144.35/20.38 | | | | | | | | |
% 144.35/20.38 | | | | | | | | | Case 1:
% 144.35/20.38 | | | | | | | | | |
% 144.35/20.38 | | | | | | | | | | (202) ~ (all_115_0 = 0)
% 144.35/20.38 | | | | | | | | | |
% 144.35/20.38 | | | | | | | | | | BETA: splitting (108) gives:
% 144.35/20.38 | | | | | | | | | |
% 144.35/20.38 | | | | | | | | | | Case 1:
% 144.35/20.38 | | | | | | | | | | |
% 144.35/20.38 | | | | | | | | | | | (203) all_115_0 = 0
% 144.35/20.38 | | | | | | | | | | |
% 144.35/20.38 | | | | | | | | | | | REDUCE: (202), (203) imply:
% 144.35/20.38 | | | | | | | | | | | (204) $false
% 144.35/20.38 | | | | | | | | | | |
% 144.35/20.38 | | | | | | | | | | | CLOSE: (204) is inconsistent.
% 144.35/20.38 | | | | | | | | | | |
% 144.35/20.38 | | | | | | | | | | Case 2:
% 144.35/20.38 | | | | | | | | | | |
% 144.35/20.38 | | | | | | | | | | | (205) ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ? [v3:
% 144.35/20.38 | | | | | | | | | | | int] : ( ~ (v3 = 0) & ~ (v2 = 0) & ~ (v1 = v0)
% 144.35/20.38 | | | | | | | | | | | & in(v1, v0) = v3 & in(v1, all_50_2) = 0 &
% 144.35/20.38 | | | | | | | | | | | in(v0, v1) = v2 & in(v0, all_50_2) = 0 & $i(v1)
% 144.35/20.38 | | | | | | | | | | | & $i(v0))
% 144.35/20.38 | | | | | | | | | | |
% 144.35/20.38 | | | | | | | | | | | DELTA: instantiating (205) with fresh symbols all_388_0,
% 144.35/20.38 | | | | | | | | | | | all_388_1, all_388_2, all_388_3 gives:
% 144.35/20.38 | | | | | | | | | | | (206) ~ (all_388_0 = 0) & ~ (all_388_1 = 0) & ~
% 144.35/20.38 | | | | | | | | | | | (all_388_2 = all_388_3) & in(all_388_2, all_388_3)
% 144.35/20.38 | | | | | | | | | | | = all_388_0 & in(all_388_2, all_50_2) = 0 &
% 144.35/20.38 | | | | | | | | | | | in(all_388_3, all_388_2) = all_388_1 &
% 144.35/20.38 | | | | | | | | | | | in(all_388_3, all_50_2) = 0 & $i(all_388_2) &
% 144.35/20.38 | | | | | | | | | | | $i(all_388_3)
% 144.35/20.38 | | | | | | | | | | |
% 144.35/20.38 | | | | | | | | | | | ALPHA: (206) implies:
% 144.35/20.38 | | | | | | | | | | | (207) ~ (all_388_2 = all_388_3)
% 144.35/20.38 | | | | | | | | | | | (208) ~ (all_388_1 = 0)
% 144.35/20.38 | | | | | | | | | | | (209) ~ (all_388_0 = 0)
% 144.35/20.38 | | | | | | | | | | | (210) $i(all_388_3)
% 144.35/20.38 | | | | | | | | | | | (211) $i(all_388_2)
% 144.35/20.38 | | | | | | | | | | | (212) in(all_388_3, all_50_2) = 0
% 144.35/20.38 | | | | | | | | | | | (213) in(all_388_3, all_388_2) = all_388_1
% 144.35/20.38 | | | | | | | | | | | (214) in(all_388_2, all_50_2) = 0
% 144.35/20.38 | | | | | | | | | | | (215) in(all_388_2, all_388_3) = all_388_0
% 144.35/20.38 | | | | | | | | | | |
% 144.35/20.38 | | | | | | | | | | | GROUND_INST: instantiating (7) with all_50_2, all_50_1,
% 144.35/20.38 | | | | | | | | | | | all_388_3, simplifying with (35), (36), (111),
% 144.35/20.38 | | | | | | | | | | | (210), (212) gives:
% 144.35/20.38 | | | | | | | | | | | (216) in(all_388_3, all_50_1) = 0
% 144.35/20.38 | | | | | | | | | | |
% 144.35/20.38 | | | | | | | | | | | GROUND_INST: instantiating (6) with all_50_1, all_388_2,
% 144.35/20.38 | | | | | | | | | | | all_388_3, all_388_1, simplifying with (36), (51),
% 144.35/20.38 | | | | | | | | | | | (210), (211), (213) gives:
% 144.35/20.38 | | | | | | | | | | | (217) all_388_1 = 0 | all_388_2 = all_388_3 | ? [v0:
% 144.35/20.38 | | | | | | | | | | | any] : ? [v1: any] : ? [v2: any] :
% 144.35/20.38 | | | | | | | | | | | (in(all_388_2, all_388_3) = v2 & in(all_388_2,
% 144.35/20.38 | | | | | | | | | | | all_50_1) = v0 & in(all_388_3, all_50_1) = v1
% 144.35/20.38 | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 144.35/20.38 | | | | | | | | | | |
% 144.35/20.38 | | | | | | | | | | | GROUND_INST: instantiating (6) with all_46_0, all_388_2,
% 144.35/20.38 | | | | | | | | | | | all_388_3, all_388_1, simplifying with (28), (29),
% 144.35/20.38 | | | | | | | | | | | (210), (211), (213) gives:
% 144.35/20.38 | | | | | | | | | | | (218) all_388_1 = 0 | all_388_2 = all_388_3 | ? [v0:
% 144.35/20.38 | | | | | | | | | | | any] : ? [v1: any] : ? [v2: any] :
% 144.35/20.38 | | | | | | | | | | | (in(all_388_2, all_388_3) = v2 & in(all_388_2,
% 144.35/20.38 | | | | | | | | | | | all_46_0) = v0 & in(all_388_3, all_46_0) = v1
% 144.35/20.38 | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 144.35/20.38 | | | | | | | | | | |
% 144.35/20.38 | | | | | | | | | | | GROUND_INST: instantiating (5) with all_46_0, all_388_3,
% 144.35/20.38 | | | | | | | | | | | all_388_2, all_388_1, simplifying with (28), (29),
% 144.35/20.38 | | | | | | | | | | | (210), (211), (213) gives:
% 144.35/20.38 | | | | | | | | | | | (219) all_388_1 = 0 | all_388_2 = all_388_3 | ? [v0:
% 144.35/20.38 | | | | | | | | | | | any] : ? [v1: any] : ? [v2: any] :
% 144.35/20.38 | | | | | | | | | | | (in(all_388_2, all_388_3) = v2 & in(all_388_2,
% 144.35/20.38 | | | | | | | | | | | all_46_0) = v1 & in(all_388_3, all_46_0) = v0
% 144.35/20.38 | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 144.35/20.38 | | | | | | | | | | |
% 144.35/20.38 | | | | | | | | | | | GROUND_INST: instantiating (7) with all_50_2, all_50_1,
% 144.35/20.38 | | | | | | | | | | | all_388_2, simplifying with (35), (36), (111),
% 144.35/20.38 | | | | | | | | | | | (211), (214) gives:
% 144.35/20.38 | | | | | | | | | | | (220) in(all_388_2, all_50_1) = 0
% 144.35/20.38 | | | | | | | | | | |
% 144.35/20.38 | | | | | | | | | | | BETA: splitting (217) gives:
% 144.35/20.38 | | | | | | | | | | |
% 144.35/20.38 | | | | | | | | | | | Case 1:
% 144.35/20.38 | | | | | | | | | | | |
% 144.35/20.38 | | | | | | | | | | | | (221) all_388_1 = 0
% 144.35/20.38 | | | | | | | | | | | |
% 144.35/20.38 | | | | | | | | | | | | REDUCE: (208), (221) imply:
% 144.35/20.38 | | | | | | | | | | | | (222) $false
% 144.35/20.39 | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | CLOSE: (222) is inconsistent.
% 144.35/20.39 | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | Case 2:
% 144.35/20.39 | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | (223) all_388_2 = all_388_3 | ? [v0: any] : ? [v1:
% 144.35/20.39 | | | | | | | | | | | | any] : ? [v2: any] : (in(all_388_2, all_388_3)
% 144.35/20.39 | | | | | | | | | | | | = v2 & in(all_388_2, all_50_1) = v0 &
% 144.35/20.39 | | | | | | | | | | | | in(all_388_3, all_50_1) = v1 & ( ~ (v1 = 0) | ~
% 144.35/20.39 | | | | | | | | | | | | (v0 = 0) | v2 = 0))
% 144.35/20.39 | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | BETA: splitting (223) gives:
% 144.35/20.39 | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | Case 1:
% 144.35/20.39 | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | (224) all_388_2 = all_388_3
% 144.35/20.39 | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | REDUCE: (207), (224) imply:
% 144.35/20.39 | | | | | | | | | | | | | (225) $false
% 144.35/20.39 | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | CLOSE: (225) is inconsistent.
% 144.35/20.39 | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | Case 2:
% 144.35/20.39 | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | (226) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 144.35/20.39 | | | | | | | | | | | | | (in(all_388_2, all_388_3) = v2 & in(all_388_2,
% 144.35/20.39 | | | | | | | | | | | | | all_50_1) = v0 & in(all_388_3, all_50_1) = v1
% 144.35/20.39 | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 144.35/20.39 | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | DELTA: instantiating (226) with fresh symbols all_542_0,
% 144.35/20.39 | | | | | | | | | | | | | all_542_1, all_542_2 gives:
% 144.35/20.39 | | | | | | | | | | | | | (227) in(all_388_2, all_388_3) = all_542_0 &
% 144.35/20.39 | | | | | | | | | | | | | in(all_388_2, all_50_1) = all_542_2 &
% 144.35/20.39 | | | | | | | | | | | | | in(all_388_3, all_50_1) = all_542_1 & ( ~
% 144.35/20.39 | | | | | | | | | | | | | (all_542_1 = 0) | ~ (all_542_2 = 0) | all_542_0
% 144.35/20.39 | | | | | | | | | | | | | = 0)
% 144.35/20.39 | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | ALPHA: (227) implies:
% 144.35/20.39 | | | | | | | | | | | | | (228) in(all_388_3, all_50_1) = all_542_1
% 144.35/20.39 | | | | | | | | | | | | | (229) in(all_388_2, all_50_1) = all_542_2
% 144.35/20.39 | | | | | | | | | | | | | (230) in(all_388_2, all_388_3) = all_542_0
% 144.35/20.39 | | | | | | | | | | | | | (231) ~ (all_542_1 = 0) | ~ (all_542_2 = 0) |
% 144.35/20.39 | | | | | | | | | | | | | all_542_0 = 0
% 144.35/20.39 | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | BETA: splitting (218) gives:
% 144.35/20.39 | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | Case 1:
% 144.35/20.39 | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | (232) all_388_1 = 0
% 144.35/20.39 | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | REDUCE: (208), (232) imply:
% 144.35/20.39 | | | | | | | | | | | | | | (233) $false
% 144.35/20.39 | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | CLOSE: (233) is inconsistent.
% 144.35/20.39 | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | Case 2:
% 144.35/20.39 | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | (234) all_388_2 = all_388_3 | ? [v0: any] : ? [v1:
% 144.35/20.39 | | | | | | | | | | | | | | any] : ? [v2: any] : (in(all_388_2, all_388_3)
% 144.35/20.39 | | | | | | | | | | | | | | = v2 & in(all_388_2, all_46_0) = v0 &
% 144.35/20.39 | | | | | | | | | | | | | | in(all_388_3, all_46_0) = v1 & ( ~ (v1 = 0) | ~
% 144.35/20.39 | | | | | | | | | | | | | | (v0 = 0) | v2 = 0))
% 144.35/20.39 | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 144.35/20.39 | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | Case 1:
% 144.35/20.39 | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | (235) all_388_1 = 0
% 144.35/20.39 | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | REDUCE: (208), (235) imply:
% 144.35/20.39 | | | | | | | | | | | | | | | (236) $false
% 144.35/20.39 | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | CLOSE: (236) is inconsistent.
% 144.35/20.39 | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | Case 2:
% 144.35/20.39 | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | (237) all_388_2 = all_388_3 | ? [v0: any] : ? [v1:
% 144.35/20.39 | | | | | | | | | | | | | | | any] : ? [v2: any] : (in(all_388_2, all_388_3)
% 144.35/20.39 | | | | | | | | | | | | | | | = v2 & in(all_388_2, all_46_0) = v1 &
% 144.35/20.39 | | | | | | | | | | | | | | | in(all_388_3, all_46_0) = v0 & ( ~ (v1 = 0) | ~
% 144.35/20.39 | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0))
% 144.35/20.39 | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 144.35/20.39 | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | Case 1:
% 144.35/20.39 | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | (238) all_388_2 = all_388_3
% 144.35/20.39 | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | REDUCE: (207), (238) imply:
% 144.35/20.39 | | | | | | | | | | | | | | | | (239) $false
% 144.35/20.39 | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | CLOSE: (239) is inconsistent.
% 144.35/20.39 | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | Case 2:
% 144.35/20.39 | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | (240) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 144.35/20.39 | | | | | | | | | | | | | | | | (in(all_388_2, all_388_3) = v2 & in(all_388_2,
% 144.35/20.39 | | | | | | | | | | | | | | | | all_46_0) = v0 & in(all_388_3, all_46_0) = v1
% 144.35/20.39 | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 144.35/20.39 | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | DELTA: instantiating (240) with fresh symbols all_617_0,
% 144.35/20.39 | | | | | | | | | | | | | | | | all_617_1, all_617_2 gives:
% 144.35/20.39 | | | | | | | | | | | | | | | | (241) in(all_388_2, all_388_3) = all_617_0 &
% 144.35/20.39 | | | | | | | | | | | | | | | | in(all_388_2, all_46_0) = all_617_2 &
% 144.35/20.39 | | | | | | | | | | | | | | | | in(all_388_3, all_46_0) = all_617_1 & ( ~
% 144.35/20.39 | | | | | | | | | | | | | | | | (all_617_1 = 0) | ~ (all_617_2 = 0) | all_617_0
% 144.35/20.39 | | | | | | | | | | | | | | | | = 0)
% 144.35/20.39 | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | ALPHA: (241) implies:
% 144.35/20.39 | | | | | | | | | | | | | | | | (242) in(all_388_2, all_388_3) = all_617_0
% 144.35/20.39 | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 144.35/20.39 | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | Case 1:
% 144.35/20.39 | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | | (243) all_388_2 = all_388_3
% 144.35/20.39 | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | | REDUCE: (207), (243) imply:
% 144.35/20.39 | | | | | | | | | | | | | | | | | (244) $false
% 144.35/20.39 | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | | CLOSE: (244) is inconsistent.
% 144.35/20.39 | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | Case 2:
% 144.35/20.39 | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | | (245) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 144.35/20.39 | | | | | | | | | | | | | | | | | (in(all_388_2, all_388_3) = v2 & in(all_388_2,
% 144.35/20.39 | | | | | | | | | | | | | | | | | all_46_0) = v1 & in(all_388_3, all_46_0) = v0
% 144.35/20.39 | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 144.35/20.39 | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | | DELTA: instantiating (245) with fresh symbols all_627_0,
% 144.35/20.39 | | | | | | | | | | | | | | | | | all_627_1, all_627_2 gives:
% 144.35/20.39 | | | | | | | | | | | | | | | | | (246) in(all_388_2, all_388_3) = all_627_0 &
% 144.35/20.39 | | | | | | | | | | | | | | | | | in(all_388_2, all_46_0) = all_627_1 &
% 144.35/20.39 | | | | | | | | | | | | | | | | | in(all_388_3, all_46_0) = all_627_2 & ( ~
% 144.35/20.39 | | | | | | | | | | | | | | | | | (all_627_1 = 0) | ~ (all_627_2 = 0) | all_627_0
% 144.35/20.39 | | | | | | | | | | | | | | | | | = 0)
% 144.35/20.39 | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | | ALPHA: (246) implies:
% 144.35/20.39 | | | | | | | | | | | | | | | | | (247) in(all_388_2, all_388_3) = all_627_0
% 144.35/20.39 | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with 0, all_542_1, all_50_1,
% 144.35/20.39 | | | | | | | | | | | | | | | | | all_388_3, simplifying with (216), (228) gives:
% 144.35/20.39 | | | | | | | | | | | | | | | | | (248) all_542_1 = 0
% 144.35/20.39 | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with 0, all_542_2, all_50_1,
% 144.35/20.39 | | | | | | | | | | | | | | | | | all_388_2, simplifying with (220), (229) gives:
% 144.35/20.39 | | | | | | | | | | | | | | | | | (249) all_542_2 = 0
% 144.35/20.39 | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_388_0, all_617_0,
% 144.35/20.39 | | | | | | | | | | | | | | | | | all_388_3, all_388_2, simplifying with (215),
% 144.35/20.39 | | | | | | | | | | | | | | | | | (242) gives:
% 144.35/20.39 | | | | | | | | | | | | | | | | | (250) all_617_0 = all_388_0
% 144.35/20.39 | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_617_0, all_627_0,
% 144.35/20.39 | | | | | | | | | | | | | | | | | all_388_3, all_388_2, simplifying with (242),
% 144.35/20.39 | | | | | | | | | | | | | | | | | (247) gives:
% 144.35/20.39 | | | | | | | | | | | | | | | | | (251) all_627_0 = all_617_0
% 144.35/20.39 | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_542_0, all_627_0,
% 144.35/20.39 | | | | | | | | | | | | | | | | | all_388_3, all_388_2, simplifying with (230),
% 144.35/20.39 | | | | | | | | | | | | | | | | | (247) gives:
% 144.35/20.39 | | | | | | | | | | | | | | | | | (252) all_627_0 = all_542_0
% 144.35/20.39 | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (252) imply:
% 144.35/20.39 | | | | | | | | | | | | | | | | | (253) all_617_0 = all_542_0
% 144.35/20.39 | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | | SIMP: (253) implies:
% 144.35/20.39 | | | | | | | | | | | | | | | | | (254) all_617_0 = all_542_0
% 144.35/20.39 | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (254) imply:
% 144.35/20.39 | | | | | | | | | | | | | | | | | (255) all_542_0 = all_388_0
% 144.35/20.39 | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 144.35/20.39 | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | | Case 1:
% 144.35/20.39 | | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | | | (256) ~ (all_542_1 = 0)
% 144.35/20.39 | | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | | | REDUCE: (248), (256) imply:
% 144.35/20.39 | | | | | | | | | | | | | | | | | | (257) $false
% 144.35/20.39 | | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | | | CLOSE: (257) is inconsistent.
% 144.35/20.39 | | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | | Case 2:
% 144.35/20.39 | | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | | | (258) ~ (all_542_2 = 0) | all_542_0 = 0
% 144.35/20.39 | | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 144.35/20.39 | | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | | | Case 1:
% 144.35/20.39 | | | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | | | | (259) ~ (all_542_2 = 0)
% 144.35/20.39 | | | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | | | | REDUCE: (249), (259) imply:
% 144.35/20.39 | | | | | | | | | | | | | | | | | | | (260) $false
% 144.35/20.39 | | | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | | | | CLOSE: (260) is inconsistent.
% 144.35/20.39 | | | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | | | Case 2:
% 144.35/20.39 | | | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | | | | (261) all_542_0 = 0
% 144.35/20.39 | | | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (261) imply:
% 144.35/20.39 | | | | | | | | | | | | | | | | | | | (262) all_388_0 = 0
% 144.35/20.39 | | | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | | | | REDUCE: (209), (262) imply:
% 144.35/20.39 | | | | | | | | | | | | | | | | | | | (263) $false
% 144.35/20.39 | | | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | | | | CLOSE: (263) is inconsistent.
% 144.35/20.39 | | | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | | | End of split
% 144.35/20.39 | | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | | End of split
% 144.35/20.39 | | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | | End of split
% 144.35/20.39 | | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | | End of split
% 144.35/20.39 | | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | | End of split
% 144.35/20.39 | | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | | End of split
% 144.35/20.39 | | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | | End of split
% 144.35/20.39 | | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | | End of split
% 144.35/20.39 | | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | End of split
% 144.35/20.39 | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | Case 2:
% 144.35/20.39 | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | (264) all_115_0 = 0
% 144.35/20.39 | | | | | | | | | | (265) ~ (all_115_1 = 0)
% 144.35/20.39 | | | | | | | | | |
% 144.35/20.39 | | | | | | | | | | REDUCE: (87), (264) imply:
% 144.35/20.40 | | | | | | | | | | (266) epsilon_connected(all_50_2) = 0
% 144.35/20.40 | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | BETA: splitting (110) gives:
% 144.35/20.40 | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | Case 1:
% 144.35/20.40 | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | | (267) all_115_1 = 0
% 144.35/20.40 | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | | REDUCE: (265), (267) imply:
% 144.35/20.40 | | | | | | | | | | | (268) $false
% 144.35/20.40 | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | | CLOSE: (268) is inconsistent.
% 144.35/20.40 | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | Case 2:
% 144.35/20.40 | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | | (269) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) &
% 144.35/20.40 | | | | | | | | | | | subset(v0, all_50_2) = v1 & in(v0, all_50_2) = 0
% 144.35/20.40 | | | | | | | | | | | & $i(v0))
% 144.35/20.40 | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | | DELTA: instantiating (269) with fresh symbols all_388_0,
% 144.35/20.40 | | | | | | | | | | | all_388_1 gives:
% 144.35/20.40 | | | | | | | | | | | (270) ~ (all_388_0 = 0) & subset(all_388_1, all_50_2) =
% 144.35/20.40 | | | | | | | | | | | all_388_0 & in(all_388_1, all_50_2) = 0 &
% 144.35/20.40 | | | | | | | | | | | $i(all_388_1)
% 144.35/20.40 | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | | ALPHA: (270) implies:
% 144.35/20.40 | | | | | | | | | | | (271) ~ (all_388_0 = 0)
% 144.35/20.40 | | | | | | | | | | | (272) $i(all_388_1)
% 144.35/20.40 | | | | | | | | | | | (273) in(all_388_1, all_50_2) = 0
% 144.35/20.40 | | | | | | | | | | | (274) subset(all_388_1, all_50_2) = all_388_0
% 144.35/20.40 | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | | BETA: splitting (109) gives:
% 144.35/20.40 | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | | Case 1:
% 144.35/20.40 | | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | | | (275) all_109_0 = 0
% 144.35/20.40 | | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | | | REDUCE: (201), (275) imply:
% 144.35/20.40 | | | | | | | | | | | | (276) $false
% 144.35/20.40 | | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | | | CLOSE: (276) is inconsistent.
% 144.35/20.40 | | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | | Case 2:
% 144.35/20.40 | | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | | | (277) all_106_0 = all_50_2 | ? [v0: any] : ? [v1: any]
% 144.35/20.40 | | | | | | | | | | | | : ? [v2: any] : (in(all_106_0, all_50_1) = v1 &
% 144.35/20.40 | | | | | | | | | | | | in(all_106_0, all_50_2) = v2 & in(all_50_2,
% 144.35/20.40 | | | | | | | | | | | | all_50_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) |
% 144.35/20.40 | | | | | | | | | | | | v2 = 0))
% 144.35/20.40 | | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_50_1, all_106_0,
% 144.35/20.40 | | | | | | | | | | | | all_320_0, all_325_0, simplifying with (36), (51),
% 144.35/20.40 | | | | | | | | | | | | (74), (181), (196) gives:
% 144.35/20.40 | | | | | | | | | | | | (278) all_325_0 = 0 | all_320_0 = all_106_0 | ? [v0:
% 144.35/20.40 | | | | | | | | | | | | any] : ? [v1: any] : ? [v2: any] :
% 144.35/20.40 | | | | | | | | | | | | (in(all_320_0, all_106_0) = v2 & in(all_320_0,
% 144.35/20.40 | | | | | | | | | | | | all_50_1) = v1 & in(all_106_0, all_50_1) = v0
% 144.35/20.40 | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 144.35/20.40 | | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_46_0, all_320_0,
% 144.35/20.40 | | | | | | | | | | | | all_106_0, all_325_0, simplifying with (28), (29),
% 144.35/20.40 | | | | | | | | | | | | (74), (181), (196) gives:
% 144.35/20.40 | | | | | | | | | | | | (279) all_325_0 = 0 | all_320_0 = all_106_0 | ? [v0:
% 144.35/20.40 | | | | | | | | | | | | any] : ? [v1: any] : ? [v2: any] :
% 144.35/20.40 | | | | | | | | | | | | (in(all_320_0, all_106_0) = v2 & in(all_320_0,
% 144.35/20.40 | | | | | | | | | | | | all_46_0) = v0 & in(all_106_0, all_46_0) = v1
% 144.35/20.40 | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 144.35/20.40 | | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_46_0, all_106_0,
% 144.35/20.40 | | | | | | | | | | | | all_320_0, all_325_0, simplifying with (28), (29),
% 144.35/20.40 | | | | | | | | | | | | (74), (181), (196) gives:
% 144.35/20.40 | | | | | | | | | | | | (280) all_325_0 = 0 | all_320_0 = all_106_0 | ? [v0:
% 144.35/20.40 | | | | | | | | | | | | any] : ? [v1: any] : ? [v2: any] :
% 144.35/20.40 | | | | | | | | | | | | (in(all_320_0, all_106_0) = v2 & in(all_320_0,
% 144.35/20.40 | | | | | | | | | | | | all_46_0) = v1 & in(all_106_0, all_46_0) = v0
% 144.35/20.40 | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 144.35/20.40 | | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | | | GROUND_INST: instantiating (143) with all_320_0, simplifying
% 144.35/20.40 | | | | | | | | | | | | with (181), (182) gives:
% 144.35/20.40 | | | | | | | | | | | | (281) ? [v0: int] : ( ~ (v0 = 0) & in(all_320_0,
% 144.35/20.40 | | | | | | | | | | | | all_211_0) = v0)
% 144.35/20.40 | | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | | | GROUND_INST: instantiating (116) with all_320_0, simplifying
% 144.35/20.40 | | | | | | | | | | | | with (181), (182) gives:
% 144.35/20.40 | | | | | | | | | | | | (282) ? [v0: int] : ( ~ (v0 = 0) & in(all_320_0,
% 144.35/20.40 | | | | | | | | | | | | all_153_0) = v0)
% 144.35/20.40 | | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | | | GROUND_INST: instantiating (76) with all_320_0, simplifying
% 144.35/20.40 | | | | | | | | | | | | with (181), (182) gives:
% 144.35/20.40 | | | | | | | | | | | | (283) ? [v0: int] : ( ~ (v0 = 0) & in(all_320_0,
% 144.35/20.40 | | | | | | | | | | | | all_106_0) = v0)
% 144.35/20.40 | | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_50_2, all_50_1,
% 144.35/20.40 | | | | | | | | | | | | all_388_1, simplifying with (35), (36), (111),
% 144.35/20.40 | | | | | | | | | | | | (272), (273) gives:
% 144.35/20.40 | | | | | | | | | | | | (284) in(all_388_1, all_50_1) = 0
% 144.35/20.40 | | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_50_2, all_388_1,
% 144.35/20.40 | | | | | | | | | | | | simplifying with (35), (272), (273) gives:
% 144.35/20.40 | | | | | | | | | | | | (285) ? [v0: int] : ( ~ (v0 = 0) & in(all_50_2,
% 144.35/20.40 | | | | | | | | | | | | all_388_1) = v0)
% 144.35/20.40 | | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_50_2, all_320_0,
% 144.35/20.40 | | | | | | | | | | | | all_106_0, all_325_0, simplifying with (35), (74),
% 144.35/20.40 | | | | | | | | | | | | (181), (196), (266) gives:
% 144.35/20.40 | | | | | | | | | | | | (286) all_325_0 = 0 | all_320_0 = all_106_0 | ? [v0:
% 144.35/20.40 | | | | | | | | | | | | any] : ? [v1: any] : ? [v2: any] :
% 144.35/20.40 | | | | | | | | | | | | (in(all_320_0, all_106_0) = v2 & in(all_320_0,
% 144.35/20.40 | | | | | | | | | | | | all_50_2) = v0 & in(all_106_0, all_50_2) = v1
% 144.35/20.40 | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 144.35/20.40 | | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_50_2, all_106_0,
% 144.35/20.40 | | | | | | | | | | | | all_320_0, all_325_0, simplifying with (35), (74),
% 144.35/20.40 | | | | | | | | | | | | (181), (196), (266) gives:
% 144.35/20.40 | | | | | | | | | | | | (287) all_325_0 = 0 | all_320_0 = all_106_0 | ? [v0:
% 144.35/20.40 | | | | | | | | | | | | any] : ? [v1: any] : ? [v2: any] :
% 144.35/20.40 | | | | | | | | | | | | (in(all_320_0, all_106_0) = v2 & in(all_320_0,
% 144.35/20.40 | | | | | | | | | | | | all_50_2) = v1 & in(all_106_0, all_50_2) = v0
% 144.35/20.40 | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 144.35/20.40 | | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_388_1, all_50_2,
% 144.35/20.40 | | | | | | | | | | | | all_388_0, simplifying with (35), (272), (274)
% 144.35/20.40 | | | | | | | | | | | | gives:
% 144.35/20.40 | | | | | | | | | | | | (288) all_388_0 = 0 | ? [v0: $i] : ? [v1: int] : ( ~
% 144.35/20.40 | | | | | | | | | | | | (v1 = 0) & in(v0, all_388_1) = 0 & in(v0,
% 144.35/20.40 | | | | | | | | | | | | all_50_2) = v1 & $i(v0))
% 144.35/20.40 | | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | | | DELTA: instantiating (283) with fresh symbol all_466_0
% 144.35/20.40 | | | | | | | | | | | | gives:
% 144.35/20.40 | | | | | | | | | | | | (289) ~ (all_466_0 = 0) & in(all_320_0, all_106_0) =
% 144.35/20.40 | | | | | | | | | | | | all_466_0
% 144.35/20.40 | | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | | | ALPHA: (289) implies:
% 144.35/20.40 | | | | | | | | | | | | (290) in(all_320_0, all_106_0) = all_466_0
% 144.35/20.40 | | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | | | DELTA: instantiating (282) with fresh symbol all_468_0
% 144.35/20.40 | | | | | | | | | | | | gives:
% 144.35/20.40 | | | | | | | | | | | | (291) ~ (all_468_0 = 0) & in(all_320_0, all_153_0) =
% 144.35/20.40 | | | | | | | | | | | | all_468_0
% 144.35/20.40 | | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | | | ALPHA: (291) implies:
% 144.35/20.40 | | | | | | | | | | | | (292) ~ (all_468_0 = 0)
% 144.35/20.40 | | | | | | | | | | | | (293) in(all_320_0, all_153_0) = all_468_0
% 144.35/20.40 | | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | | | DELTA: instantiating (281) with fresh symbol all_470_0
% 144.35/20.40 | | | | | | | | | | | | gives:
% 144.35/20.40 | | | | | | | | | | | | (294) ~ (all_470_0 = 0) & in(all_320_0, all_211_0) =
% 144.35/20.40 | | | | | | | | | | | | all_470_0
% 144.35/20.40 | | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | | | ALPHA: (294) implies:
% 144.35/20.40 | | | | | | | | | | | | (295) in(all_320_0, all_211_0) = all_470_0
% 144.35/20.40 | | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | | | DELTA: instantiating (285) with fresh symbol all_474_0
% 144.35/20.40 | | | | | | | | | | | | gives:
% 144.35/20.40 | | | | | | | | | | | | (296) ~ (all_474_0 = 0) & in(all_50_2, all_388_1) =
% 144.35/20.40 | | | | | | | | | | | | all_474_0
% 144.35/20.40 | | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | | | ALPHA: (296) implies:
% 144.35/20.40 | | | | | | | | | | | | (297) ~ (all_474_0 = 0)
% 144.35/20.40 | | | | | | | | | | | | (298) in(all_50_2, all_388_1) = all_474_0
% 144.35/20.40 | | | | | | | | | | | |
% 144.35/20.40 | | | | | | | | | | | | DELTA: instantiating (41) with fresh symbol all_489_0
% 144.35/20.40 | | | | | | | | | | | | gives:
% 144.35/20.41 | | | | | | | | | | | | (299) in(all_489_0, all_50_1) = 0 & $i(all_489_0) & !
% 144.35/20.41 | | | | | | | | | | | | [v0: $i] : ( ~ (in(v0, all_489_0) = 0) | ~ $i(v0)
% 144.35/20.41 | | | | | | | | | | | | | ? [v1: int] : ( ~ (v1 = 0) & in(v0, all_50_1)
% 144.35/20.41 | | | | | | | | | | | | = v1)) & ! [v0: $i] : ( ~ (in(v0, all_50_1) =
% 144.35/20.41 | | | | | | | | | | | | 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 144.35/20.41 | | | | | | | | | | | | in(v0, all_489_0) = v1))
% 144.35/20.41 | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | ALPHA: (299) implies:
% 144.35/20.41 | | | | | | | | | | | | (300) $i(all_489_0)
% 144.35/20.41 | | | | | | | | | | | | (301) in(all_489_0, all_50_1) = 0
% 144.35/20.41 | | | | | | | | | | | | (302) ! [v0: $i] : ( ~ (in(v0, all_50_1) = 0) | ~
% 144.35/20.41 | | | | | | | | | | | | $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & in(v0,
% 144.35/20.41 | | | | | | | | | | | | all_489_0) = v1))
% 144.35/20.41 | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | GROUND_INST: instantiating (302) with all_320_0, simplifying
% 144.35/20.41 | | | | | | | | | | | | with (181), (182) gives:
% 144.35/20.41 | | | | | | | | | | | | (303) ? [v0: int] : ( ~ (v0 = 0) & in(all_320_0,
% 144.35/20.41 | | | | | | | | | | | | all_489_0) = v0)
% 144.35/20.41 | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | DELTA: instantiating (303) with fresh symbol all_494_0
% 144.35/20.41 | | | | | | | | | | | | gives:
% 144.35/20.41 | | | | | | | | | | | | (304) ~ (all_494_0 = 0) & in(all_320_0, all_489_0) =
% 144.35/20.41 | | | | | | | | | | | | all_494_0
% 144.35/20.41 | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | ALPHA: (304) implies:
% 144.35/20.41 | | | | | | | | | | | | (305) ~ (all_494_0 = 0)
% 144.35/20.41 | | | | | | | | | | | | (306) in(all_320_0, all_489_0) = all_494_0
% 144.35/20.41 | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | REDUCE: (195), (295) imply:
% 144.35/20.41 | | | | | | | | | | | | (307) in(all_320_0, all_106_0) = all_470_0
% 144.35/20.41 | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | REDUCE: (164), (293) imply:
% 144.35/20.41 | | | | | | | | | | | | (308) in(all_320_0, all_106_0) = all_468_0
% 144.35/20.41 | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | BETA: splitting (278) gives:
% 144.35/20.41 | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | Case 1:
% 144.35/20.41 | | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | | (309) all_325_0 = 0
% 144.35/20.41 | | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | | REDUCE: (200), (309) imply:
% 144.35/20.41 | | | | | | | | | | | | | (310) $false
% 144.35/20.41 | | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | | CLOSE: (310) is inconsistent.
% 144.35/20.41 | | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | Case 2:
% 144.35/20.41 | | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | | (311) all_320_0 = all_106_0 | ? [v0: any] : ? [v1:
% 144.35/20.41 | | | | | | | | | | | | | any] : ? [v2: any] : (in(all_320_0, all_106_0)
% 144.35/20.41 | | | | | | | | | | | | | = v2 & in(all_320_0, all_50_1) = v1 &
% 144.35/20.41 | | | | | | | | | | | | | in(all_106_0, all_50_1) = v0 & ( ~ (v1 = 0) | ~
% 144.35/20.41 | | | | | | | | | | | | | (v0 = 0) | v2 = 0))
% 144.35/20.41 | | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | | BETA: splitting (311) gives:
% 144.35/20.41 | | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | | Case 1:
% 144.35/20.41 | | | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | | | (312) all_320_0 = all_106_0
% 144.35/20.41 | | | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | | | REDUCE: (306), (312) imply:
% 144.35/20.41 | | | | | | | | | | | | | | (313) in(all_106_0, all_489_0) = all_494_0
% 144.35/20.41 | | | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | | | BETA: splitting (288) gives:
% 144.35/20.41 | | | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | | | Case 1:
% 144.35/20.41 | | | | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | | | | (314) all_388_0 = 0
% 144.35/20.41 | | | | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | | | | REDUCE: (271), (314) imply:
% 144.35/20.41 | | | | | | | | | | | | | | | (315) $false
% 144.35/20.41 | | | | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | | | | CLOSE: (315) is inconsistent.
% 144.35/20.41 | | | | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | | | Case 2:
% 144.35/20.41 | | | | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | | | | (316) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & in(v0,
% 144.35/20.41 | | | | | | | | | | | | | | | all_388_1) = 0 & in(v0, all_50_2) = v1 &
% 144.35/20.41 | | | | | | | | | | | | | | | $i(v0))
% 144.35/20.41 | | | | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | | | | DELTA: instantiating (316) with fresh symbols all_524_0,
% 144.35/20.41 | | | | | | | | | | | | | | | all_524_1 gives:
% 144.35/20.41 | | | | | | | | | | | | | | | (317) ~ (all_524_0 = 0) & in(all_524_1, all_388_1) = 0
% 144.35/20.41 | | | | | | | | | | | | | | | & in(all_524_1, all_50_2) = all_524_0 &
% 144.35/20.41 | | | | | | | | | | | | | | | $i(all_524_1)
% 144.35/20.41 | | | | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | | | | ALPHA: (317) implies:
% 144.35/20.41 | | | | | | | | | | | | | | | (318) ~ (all_524_0 = 0)
% 144.35/20.41 | | | | | | | | | | | | | | | (319) $i(all_524_1)
% 144.35/20.41 | | | | | | | | | | | | | | | (320) in(all_524_1, all_50_2) = all_524_0
% 144.35/20.41 | | | | | | | | | | | | | | | (321) in(all_524_1, all_388_1) = 0
% 144.35/20.41 | | | | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_50_1, all_106_0,
% 144.35/20.41 | | | | | | | | | | | | | | | all_489_0, all_494_0, simplifying with (36), (51),
% 144.35/20.41 | | | | | | | | | | | | | | | (74), (300), (313) gives:
% 144.35/20.41 | | | | | | | | | | | | | | | (322) all_494_0 = 0 | all_489_0 = all_106_0 | ? [v0:
% 144.35/20.41 | | | | | | | | | | | | | | | any] : ? [v1: any] : ? [v2: any] :
% 144.35/20.41 | | | | | | | | | | | | | | | (in(all_489_0, all_106_0) = v2 & in(all_489_0,
% 144.35/20.41 | | | | | | | | | | | | | | | all_50_1) = v1 & in(all_106_0, all_50_1) = v0
% 144.35/20.41 | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 144.35/20.41 | | | | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_50_2, all_489_0,
% 144.35/20.41 | | | | | | | | | | | | | | | all_106_0, all_494_0, simplifying with (35), (74),
% 144.35/20.41 | | | | | | | | | | | | | | | (266), (300), (313) gives:
% 144.35/20.41 | | | | | | | | | | | | | | | (323) all_494_0 = 0 | all_489_0 = all_106_0 | ? [v0:
% 144.35/20.41 | | | | | | | | | | | | | | | any] : ? [v1: any] : ? [v2: any] :
% 144.35/20.41 | | | | | | | | | | | | | | | (in(all_489_0, all_106_0) = v2 & in(all_489_0,
% 144.35/20.41 | | | | | | | | | | | | | | | all_50_2) = v0 & in(all_106_0, all_50_2) = v1
% 144.35/20.41 | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 144.35/20.41 | | | | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_50_2, all_106_0,
% 144.35/20.41 | | | | | | | | | | | | | | | all_489_0, all_494_0, simplifying with (35), (74),
% 144.35/20.41 | | | | | | | | | | | | | | | (266), (300), (313) gives:
% 144.35/20.41 | | | | | | | | | | | | | | | (324) all_494_0 = 0 | all_489_0 = all_106_0 | ? [v0:
% 144.35/20.41 | | | | | | | | | | | | | | | any] : ? [v1: any] : ? [v2: any] :
% 144.35/20.41 | | | | | | | | | | | | | | | (in(all_489_0, all_106_0) = v2 & in(all_489_0,
% 144.35/20.41 | | | | | | | | | | | | | | | all_50_2) = v1 & in(all_106_0, all_50_2) = v0
% 144.35/20.41 | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 144.35/20.41 | | | | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_46_0, all_489_0,
% 144.35/20.41 | | | | | | | | | | | | | | | all_106_0, all_494_0, simplifying with (28), (29),
% 144.35/20.41 | | | | | | | | | | | | | | | (74), (300), (313) gives:
% 144.35/20.41 | | | | | | | | | | | | | | | (325) all_494_0 = 0 | all_489_0 = all_106_0 | ? [v0:
% 144.35/20.41 | | | | | | | | | | | | | | | any] : ? [v1: any] : ? [v2: any] :
% 144.35/20.41 | | | | | | | | | | | | | | | (in(all_489_0, all_106_0) = v2 & in(all_489_0,
% 144.35/20.41 | | | | | | | | | | | | | | | all_46_0) = v0 & in(all_106_0, all_46_0) = v1
% 144.35/20.41 | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 144.35/20.41 | | | | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_46_0, all_106_0,
% 144.35/20.41 | | | | | | | | | | | | | | | all_489_0, all_494_0, simplifying with (28), (29),
% 144.35/20.41 | | | | | | | | | | | | | | | (74), (300), (313) gives:
% 144.35/20.41 | | | | | | | | | | | | | | | (326) all_494_0 = 0 | all_489_0 = all_106_0 | ? [v0:
% 144.35/20.41 | | | | | | | | | | | | | | | any] : ? [v1: any] : ? [v2: any] :
% 144.35/20.41 | | | | | | | | | | | | | | | (in(all_489_0, all_106_0) = v2 & in(all_489_0,
% 144.35/20.41 | | | | | | | | | | | | | | | all_46_0) = v1 & in(all_106_0, all_46_0) = v0
% 144.35/20.41 | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 144.35/20.41 | | | | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_50_1, all_388_1,
% 144.35/20.41 | | | | | | | | | | | | | | | simplifying with (36), (52), (272), (284) gives:
% 144.35/20.41 | | | | | | | | | | | | | | | (327) subset(all_388_1, all_50_1) = 0
% 144.35/20.41 | | | | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | | | | GROUND_INST: instantiating (76) with all_388_1, simplifying
% 144.35/20.41 | | | | | | | | | | | | | | | with (272), (284) gives:
% 144.35/20.41 | | | | | | | | | | | | | | | (328) ? [v0: int] : ( ~ (v0 = 0) & in(all_388_1,
% 144.35/20.41 | | | | | | | | | | | | | | | all_106_0) = v0)
% 144.35/20.41 | | | | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | | | | GROUND_INST: instantiating (183) with all_489_0, simplifying
% 144.35/20.41 | | | | | | | | | | | | | | | with (300), (301) gives:
% 144.35/20.41 | | | | | | | | | | | | | | | (329) ? [v0: int] : ( ~ (v0 = 0) & in(all_489_0,
% 144.35/20.41 | | | | | | | | | | | | | | | all_320_0) = v0)
% 144.35/20.41 | | | | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | | | | GROUND_INST: instantiating (143) with all_489_0, simplifying
% 144.35/20.41 | | | | | | | | | | | | | | | with (300), (301) gives:
% 144.35/20.41 | | | | | | | | | | | | | | | (330) ? [v0: int] : ( ~ (v0 = 0) & in(all_489_0,
% 144.35/20.41 | | | | | | | | | | | | | | | all_211_0) = v0)
% 144.35/20.41 | | | | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | | | | GROUND_INST: instantiating (116) with all_489_0, simplifying
% 144.35/20.41 | | | | | | | | | | | | | | | with (300), (301) gives:
% 144.35/20.41 | | | | | | | | | | | | | | | (331) ? [v0: int] : ( ~ (v0 = 0) & in(all_489_0,
% 144.35/20.41 | | | | | | | | | | | | | | | all_153_0) = v0)
% 144.35/20.41 | | | | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | | | | GROUND_INST: instantiating (76) with all_489_0, simplifying
% 144.35/20.41 | | | | | | | | | | | | | | | with (300), (301) gives:
% 144.35/20.41 | | | | | | | | | | | | | | | (332) ? [v0: int] : ( ~ (v0 = 0) & in(all_489_0,
% 144.35/20.41 | | | | | | | | | | | | | | | all_106_0) = v0)
% 144.35/20.41 | | | | | | | | | | | | | | |
% 144.35/20.41 | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_50_1, all_524_1,
% 144.35/20.41 | | | | | | | | | | | | | | | all_50_2, all_524_0, simplifying with (35), (36),
% 144.35/20.41 | | | | | | | | | | | | | | | (51), (319), (320) gives:
% 144.35/20.42 | | | | | | | | | | | | | | | (333) all_524_0 = 0 | all_524_1 = all_50_2 | ? [v0:
% 144.35/20.42 | | | | | | | | | | | | | | | any] : ? [v1: any] : ? [v2: any] :
% 144.35/20.42 | | | | | | | | | | | | | | | (in(all_524_1, all_50_1) = v0 & in(all_50_2,
% 144.35/20.42 | | | | | | | | | | | | | | | all_524_1) = v2 & in(all_50_2, all_50_1) = v1
% 144.35/20.42 | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 144.35/20.42 | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_46_0, all_524_1,
% 144.35/20.42 | | | | | | | | | | | | | | | all_50_2, all_524_0, simplifying with (28), (29),
% 144.35/20.42 | | | | | | | | | | | | | | | (35), (319), (320) gives:
% 144.35/20.42 | | | | | | | | | | | | | | | (334) all_524_0 = 0 | all_524_1 = all_50_2 | ? [v0:
% 144.35/20.42 | | | | | | | | | | | | | | | any] : ? [v1: any] : ? [v2: any] :
% 144.35/20.42 | | | | | | | | | | | | | | | (in(all_524_1, all_46_0) = v0 & in(all_50_2,
% 144.35/20.42 | | | | | | | | | | | | | | | all_524_1) = v2 & in(all_50_2, all_46_0) = v1
% 144.35/20.42 | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 144.35/20.42 | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_50_2, all_524_1,
% 144.35/20.42 | | | | | | | | | | | | | | | all_388_1, simplifying with (35), (272), (273),
% 144.35/20.42 | | | | | | | | | | | | | | | (319), (321) gives:
% 144.35/20.42 | | | | | | | | | | | | | | | (335) ? [v0: int] : ( ~ (v0 = 0) & in(all_50_2,
% 144.35/20.42 | | | | | | | | | | | | | | | all_524_1) = v0)
% 144.35/20.42 | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | DELTA: instantiating (335) with fresh symbol all_729_0
% 144.35/20.42 | | | | | | | | | | | | | | | gives:
% 144.35/20.42 | | | | | | | | | | | | | | | (336) ~ (all_729_0 = 0) & in(all_50_2, all_524_1) =
% 144.35/20.42 | | | | | | | | | | | | | | | all_729_0
% 144.35/20.42 | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | ALPHA: (336) implies:
% 144.35/20.42 | | | | | | | | | | | | | | | (337) ~ (all_729_0 = 0)
% 144.35/20.42 | | | | | | | | | | | | | | | (338) in(all_50_2, all_524_1) = all_729_0
% 144.35/20.42 | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | DELTA: instantiating (332) with fresh symbol all_735_0
% 144.35/20.42 | | | | | | | | | | | | | | | gives:
% 144.35/20.42 | | | | | | | | | | | | | | | (339) ~ (all_735_0 = 0) & in(all_489_0, all_106_0) =
% 144.35/20.42 | | | | | | | | | | | | | | | all_735_0
% 144.35/20.42 | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | ALPHA: (339) implies:
% 144.35/20.42 | | | | | | | | | | | | | | | (340) in(all_489_0, all_106_0) = all_735_0
% 144.35/20.42 | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | DELTA: instantiating (331) with fresh symbol all_737_0
% 144.35/20.42 | | | | | | | | | | | | | | | gives:
% 144.35/20.42 | | | | | | | | | | | | | | | (341) ~ (all_737_0 = 0) & in(all_489_0, all_153_0) =
% 144.35/20.42 | | | | | | | | | | | | | | | all_737_0
% 144.35/20.42 | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | ALPHA: (341) implies:
% 144.35/20.42 | | | | | | | | | | | | | | | (342) ~ (all_737_0 = 0)
% 144.35/20.42 | | | | | | | | | | | | | | | (343) in(all_489_0, all_153_0) = all_737_0
% 144.35/20.42 | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | DELTA: instantiating (330) with fresh symbol all_745_0
% 144.35/20.42 | | | | | | | | | | | | | | | gives:
% 144.35/20.42 | | | | | | | | | | | | | | | (344) ~ (all_745_0 = 0) & in(all_489_0, all_211_0) =
% 144.35/20.42 | | | | | | | | | | | | | | | all_745_0
% 144.35/20.42 | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | ALPHA: (344) implies:
% 144.35/20.42 | | | | | | | | | | | | | | | (345) in(all_489_0, all_211_0) = all_745_0
% 144.35/20.42 | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | DELTA: instantiating (329) with fresh symbol all_747_0
% 144.35/20.42 | | | | | | | | | | | | | | | gives:
% 144.35/20.42 | | | | | | | | | | | | | | | (346) ~ (all_747_0 = 0) & in(all_489_0, all_320_0) =
% 144.35/20.42 | | | | | | | | | | | | | | | all_747_0
% 144.35/20.42 | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | ALPHA: (346) implies:
% 144.35/20.42 | | | | | | | | | | | | | | | (347) in(all_489_0, all_320_0) = all_747_0
% 144.35/20.42 | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | DELTA: instantiating (328) with fresh symbol all_751_0
% 144.35/20.42 | | | | | | | | | | | | | | | gives:
% 144.35/20.42 | | | | | | | | | | | | | | | (348) ~ (all_751_0 = 0) & in(all_388_1, all_106_0) =
% 144.35/20.42 | | | | | | | | | | | | | | | all_751_0
% 144.35/20.42 | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | ALPHA: (348) implies:
% 144.35/20.42 | | | | | | | | | | | | | | | (349) ~ (all_751_0 = 0)
% 144.35/20.42 | | | | | | | | | | | | | | | (350) in(all_388_1, all_106_0) = all_751_0
% 144.35/20.42 | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | DELTA: instantiating (41) with fresh symbol all_786_0
% 144.35/20.42 | | | | | | | | | | | | | | | gives:
% 144.35/20.42 | | | | | | | | | | | | | | | (351) in(all_786_0, all_50_1) = 0 & $i(all_786_0) & !
% 144.35/20.42 | | | | | | | | | | | | | | | [v0: $i] : ( ~ (in(v0, all_786_0) = 0) | ~ $i(v0)
% 144.35/20.42 | | | | | | | | | | | | | | | | ? [v1: int] : ( ~ (v1 = 0) & in(v0, all_50_1)
% 144.35/20.42 | | | | | | | | | | | | | | | = v1)) & ! [v0: $i] : ( ~ (in(v0, all_50_1) =
% 144.35/20.42 | | | | | | | | | | | | | | | 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 144.35/20.42 | | | | | | | | | | | | | | | in(v0, all_786_0) = v1))
% 144.35/20.42 | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | ALPHA: (351) implies:
% 144.35/20.42 | | | | | | | | | | | | | | | (352) $i(all_786_0)
% 144.35/20.42 | | | | | | | | | | | | | | | (353) ! [v0: $i] : ( ~ (in(v0, all_50_1) = 0) | ~
% 144.35/20.42 | | | | | | | | | | | | | | | $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & in(v0,
% 144.35/20.42 | | | | | | | | | | | | | | | all_786_0) = v1))
% 144.35/20.42 | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | GROUND_INST: instantiating (353) with all_50_2, simplifying
% 144.35/20.42 | | | | | | | | | | | | | | | with (35), (37) gives:
% 144.35/20.42 | | | | | | | | | | | | | | | (354) ? [v0: int] : ( ~ (v0 = 0) & in(all_50_2,
% 144.35/20.42 | | | | | | | | | | | | | | | all_786_0) = v0)
% 144.35/20.42 | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | GROUND_INST: instantiating (353) with all_489_0, simplifying
% 144.35/20.42 | | | | | | | | | | | | | | | with (300), (301) gives:
% 144.35/20.42 | | | | | | | | | | | | | | | (355) ? [v0: int] : ( ~ (v0 = 0) & in(all_489_0,
% 144.35/20.42 | | | | | | | | | | | | | | | all_786_0) = v0)
% 144.35/20.42 | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | DELTA: instantiating (355) with fresh symbol all_799_0
% 144.35/20.42 | | | | | | | | | | | | | | | gives:
% 144.35/20.42 | | | | | | | | | | | | | | | (356) ~ (all_799_0 = 0) & in(all_489_0, all_786_0) =
% 144.35/20.42 | | | | | | | | | | | | | | | all_799_0
% 144.35/20.42 | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | ALPHA: (356) implies:
% 144.35/20.42 | | | | | | | | | | | | | | | (357) ~ (all_799_0 = 0)
% 144.35/20.42 | | | | | | | | | | | | | | | (358) in(all_489_0, all_786_0) = all_799_0
% 144.35/20.42 | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | DELTA: instantiating (354) with fresh symbol all_805_0
% 144.35/20.42 | | | | | | | | | | | | | | | gives:
% 144.35/20.42 | | | | | | | | | | | | | | | (359) ~ (all_805_0 = 0) & in(all_50_2, all_786_0) =
% 144.35/20.42 | | | | | | | | | | | | | | | all_805_0
% 144.35/20.42 | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | ALPHA: (359) implies:
% 144.35/20.42 | | | | | | | | | | | | | | | (360) ~ (all_805_0 = 0)
% 144.35/20.42 | | | | | | | | | | | | | | | (361) in(all_50_2, all_786_0) = all_805_0
% 144.35/20.42 | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | REDUCE: (312), (347) imply:
% 144.35/20.42 | | | | | | | | | | | | | | | (362) in(all_489_0, all_106_0) = all_747_0
% 144.35/20.42 | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | REDUCE: (195), (345) imply:
% 144.35/20.42 | | | | | | | | | | | | | | | (363) in(all_489_0, all_106_0) = all_745_0
% 144.35/20.42 | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | REDUCE: (164), (343) imply:
% 144.35/20.42 | | | | | | | | | | | | | | | (364) in(all_489_0, all_106_0) = all_737_0
% 144.35/20.42 | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 144.35/20.42 | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | Case 1:
% 144.35/20.42 | | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | | (365) all_494_0 = 0
% 144.35/20.42 | | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | | REDUCE: (305), (365) imply:
% 144.35/20.42 | | | | | | | | | | | | | | | | (366) $false
% 144.35/20.42 | | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | | CLOSE: (366) is inconsistent.
% 144.35/20.42 | | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | Case 2:
% 144.35/20.42 | | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | | (367) all_489_0 = all_106_0 | ? [v0: any] : ? [v1:
% 144.35/20.42 | | | | | | | | | | | | | | | | any] : ? [v2: any] : (in(all_489_0, all_106_0)
% 144.35/20.42 | | | | | | | | | | | | | | | | = v2 & in(all_489_0, all_50_1) = v1 &
% 144.35/20.42 | | | | | | | | | | | | | | | | in(all_106_0, all_50_1) = v0 & ( ~ (v1 = 0) | ~
% 144.35/20.42 | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0))
% 144.35/20.42 | | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | | BETA: splitting (367) gives:
% 144.35/20.42 | | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | | Case 1:
% 144.35/20.42 | | | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | | | (368) all_489_0 = all_106_0
% 144.35/20.42 | | | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | | | REDUCE: (358), (368) imply:
% 144.35/20.42 | | | | | | | | | | | | | | | | | (369) in(all_106_0, all_786_0) = all_799_0
% 144.35/20.42 | | | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 144.35/20.42 | | | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | | | Case 1:
% 144.35/20.42 | | | | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | | | | (370) all_106_0 = all_50_2
% 144.35/20.42 | | | | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | | | | REDUCE: (350), (370) imply:
% 144.35/20.42 | | | | | | | | | | | | | | | | | | (371) in(all_388_1, all_50_2) = all_751_0
% 144.35/20.42 | | | | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with 0, all_751_0, all_50_2,
% 144.35/20.42 | | | | | | | | | | | | | | | | | | all_388_1, simplifying with (273), (371) gives:
% 144.35/20.42 | | | | | | | | | | | | | | | | | | (372) all_751_0 = 0
% 144.35/20.42 | | | | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | | | | REDUCE: (349), (372) imply:
% 144.35/20.42 | | | | | | | | | | | | | | | | | | (373) $false
% 144.35/20.42 | | | | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | | | | CLOSE: (373) is inconsistent.
% 144.35/20.42 | | | | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | | | Case 2:
% 144.35/20.42 | | | | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | | | | (374) ~ (all_106_0 = all_50_2)
% 144.35/20.42 | | | | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_46_0, all_50_2,
% 144.35/20.42 | | | | | | | | | | | | | | | | | | all_786_0, all_805_0, simplifying with (28), (29),
% 144.35/20.42 | | | | | | | | | | | | | | | | | | (35), (352), (361) gives:
% 144.35/20.42 | | | | | | | | | | | | | | | | | | (375) all_805_0 = 0 | all_786_0 = all_50_2 | ? [v0:
% 144.35/20.42 | | | | | | | | | | | | | | | | | | any] : ? [v1: any] : ? [v2: any] :
% 144.35/20.42 | | | | | | | | | | | | | | | | | | (in(all_786_0, all_50_2) = v2 & in(all_786_0,
% 144.35/20.42 | | | | | | | | | | | | | | | | | | all_46_0) = v1 & in(all_50_2, all_46_0) = v0 &
% 144.35/20.42 | | | | | | | | | | | | | | | | | | ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 144.35/20.42 | | | | | | | | | | | | | | | | | |
% 144.35/20.42 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_46_0, all_106_0,
% 144.35/20.42 | | | | | | | | | | | | | | | | | | all_786_0, all_799_0, simplifying with (28), (29),
% 144.35/20.42 | | | | | | | | | | | | | | | | | | (74), (352), (369) gives:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | (376) all_799_0 = 0 | all_786_0 = all_106_0 | ? [v0:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | any] : ? [v1: any] : ? [v2: any] :
% 144.35/20.43 | | | | | | | | | | | | | | | | | | (in(all_786_0, all_106_0) = v2 & in(all_786_0,
% 144.35/20.43 | | | | | | | | | | | | | | | | | | all_46_0) = v1 & in(all_106_0, all_46_0) = v0
% 144.35/20.43 | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 144.35/20.43 | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_388_1, all_50_1,
% 144.35/20.43 | | | | | | | | | | | | | | | | | | all_524_1, simplifying with (36), (272), (319),
% 144.35/20.43 | | | | | | | | | | | | | | | | | | (321), (327) gives:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | (377) in(all_524_1, all_50_1) = 0
% 144.35/20.43 | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 144.35/20.43 | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | Case 1:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | (378) all_524_0 = 0
% 144.35/20.43 | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | REDUCE: (318), (378) imply:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | (379) $false
% 144.35/20.43 | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | CLOSE: (379) is inconsistent.
% 144.35/20.43 | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | Case 2:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | (380) all_524_1 = all_50_2 | ? [v0: any] : ? [v1: any]
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | : ? [v2: any] : (in(all_524_1, all_50_1) = v0 &
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | in(all_50_2, all_524_1) = v2 & in(all_50_2,
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | all_50_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | v2 = 0))
% 144.35/20.43 | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | Case 1:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | (381) all_524_1 = all_50_2
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | REDUCE: (321), (381) imply:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | (382) in(all_50_2, all_388_1) = 0
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_474_0, 0, all_388_1,
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | all_50_2, simplifying with (298), (382) gives:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | (383) all_474_0 = 0
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | REDUCE: (297), (383) imply:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | (384) $false
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | CLOSE: (384) is inconsistent.
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | Case 2:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | (385) ~ (all_524_1 = all_50_2)
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | (386) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | (in(all_524_1, all_50_1) = v0 & in(all_50_2,
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | all_524_1) = v2 & in(all_50_2, all_50_1) = v1
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (386) with fresh symbols all_1342_0,
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | all_1342_1, all_1342_2 gives:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | (387) in(all_524_1, all_50_1) = all_1342_2 &
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | in(all_50_2, all_524_1) = all_1342_0 &
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | in(all_50_2, all_50_1) = all_1342_1 & ( ~
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | (all_1342_1 = 0) | ~ (all_1342_2 = 0) |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | all_1342_0 = 0)
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | ALPHA: (387) implies:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | (388) in(all_50_2, all_50_1) = all_1342_1
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | (389) in(all_50_2, all_524_1) = all_1342_0
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | (390) in(all_524_1, all_50_1) = all_1342_2
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | (391) ~ (all_1342_1 = 0) | ~ (all_1342_2 = 0) |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | all_1342_0 = 0
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | Case 1:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | (392) all_524_0 = 0
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | REDUCE: (318), (392) imply:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | (393) $false
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | CLOSE: (393) is inconsistent.
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | Case 2:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | (394) all_524_1 = all_50_2 | ? [v0: any] : ? [v1: any]
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | : ? [v2: any] : (in(all_524_1, all_46_0) = v0 &
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | in(all_50_2, all_524_1) = v2 & in(all_50_2,
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | all_46_0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | v2 = 0))
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (394) gives:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | (395) all_524_1 = all_50_2
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (395) imply:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | (396) $false
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (396) is inconsistent.
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | (397) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | (in(all_524_1, all_46_0) = v0 & in(all_50_2,
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | all_524_1) = v2 & in(all_50_2, all_46_0) = v1
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (397) with fresh symbols all_1564_0,
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | all_1564_1, all_1564_2 gives:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | (398) in(all_524_1, all_46_0) = all_1564_2 &
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | in(all_50_2, all_524_1) = all_1564_0 &
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | in(all_50_2, all_46_0) = all_1564_1 & ( ~
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | (all_1564_1 = 0) | ~ (all_1564_2 = 0) |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | all_1564_0 = 0)
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (398) implies:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | (399) in(all_50_2, all_524_1) = all_1564_0
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (376) gives:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | (400) all_799_0 = 0
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (400) imply:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | (401) $false
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (401) is inconsistent.
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | (402) all_786_0 = all_106_0 | ? [v0: any] : ? [v1:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v2: any] : (in(all_786_0, all_106_0)
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | = v2 & in(all_786_0, all_46_0) = v1 &
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | in(all_106_0, all_46_0) = v0 & ( ~ (v1 = 0) | ~
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0))
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (402) gives:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | (403) all_786_0 = all_106_0
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (375) gives:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | (404) all_805_0 = 0
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (404) imply:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | (405) $false
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (405) is inconsistent.
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | (406) all_786_0 = all_50_2 | ? [v0: any] : ? [v1: any]
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | : ? [v2: any] : (in(all_786_0, all_50_2) = v2 &
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | in(all_786_0, all_46_0) = v1 & in(all_50_2,
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | all_46_0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | v2 = 0))
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (406) gives:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (407) all_786_0 = all_50_2
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (407) imply:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (408) all_106_0 = all_50_2
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (374), (408) imply:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (409) $false
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (409) is inconsistent.
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with 0, all_1342_1, all_50_1,
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_2, simplifying with (37), (388) gives:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (410) all_1342_1 = 0
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_729_0, all_1564_0,
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | | all_524_1, all_50_2, simplifying with (338), (399)
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (411) all_1564_0 = all_729_0
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_1342_0, all_1564_0,
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | | all_524_1, all_50_2, simplifying with (389), (399)
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (412) all_1564_0 = all_1342_0
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with 0, all_1342_2, all_50_1,
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | | all_524_1, simplifying with (377), (390) gives:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (413) all_1342_2 = 0
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (412) imply:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (414) all_1342_0 = all_729_0
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (337), (391), (410), (413), (414) are inconsistent
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1.
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with 0, all_1342_1, all_50_1,
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | all_50_2, simplifying with (37), (388) gives:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | (415) all_1342_1 = 0
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_729_0, all_1342_0,
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | all_524_1, all_50_2, simplifying with (338), (389)
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | (416) all_1342_0 = all_729_0
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with 0, all_1342_2, all_50_1,
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | all_524_1, simplifying with (377), (390) gives:
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | (417) all_1342_2 = 0
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (337), (391), (415), (416), (417) are inconsistent
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1.
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | | End of split
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | | End of split
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | | End of split
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | | End of split
% 144.35/20.43 | | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | | End of split
% 144.35/20.43 | | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | End of split
% 144.35/20.43 | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | Case 2:
% 144.35/20.43 | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | (418) ~ (all_489_0 = all_106_0)
% 144.35/20.43 | | | | | | | | | | | | | | | | | (419) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 144.35/20.43 | | | | | | | | | | | | | | | | | (in(all_489_0, all_106_0) = v2 & in(all_489_0,
% 144.35/20.43 | | | | | | | | | | | | | | | | | all_50_1) = v1 & in(all_106_0, all_50_1) = v0
% 144.35/20.43 | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 144.35/20.43 | | | | | | | | | | | | | | | | |
% 144.35/20.43 | | | | | | | | | | | | | | | | | DELTA: instantiating (419) with fresh symbols all_821_0,
% 144.35/20.43 | | | | | | | | | | | | | | | | | all_821_1, all_821_2 gives:
% 144.35/20.44 | | | | | | | | | | | | | | | | | (420) in(all_489_0, all_106_0) = all_821_0 &
% 144.35/20.44 | | | | | | | | | | | | | | | | | in(all_489_0, all_50_1) = all_821_1 &
% 144.35/20.44 | | | | | | | | | | | | | | | | | in(all_106_0, all_50_1) = all_821_2 & ( ~
% 144.35/20.44 | | | | | | | | | | | | | | | | | (all_821_1 = 0) | ~ (all_821_2 = 0) | all_821_0
% 144.35/20.44 | | | | | | | | | | | | | | | | | = 0)
% 144.35/20.44 | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | ALPHA: (420) implies:
% 144.35/20.44 | | | | | | | | | | | | | | | | | (421) in(all_106_0, all_50_1) = all_821_2
% 144.35/20.44 | | | | | | | | | | | | | | | | | (422) in(all_489_0, all_50_1) = all_821_1
% 144.35/20.44 | | | | | | | | | | | | | | | | | (423) in(all_489_0, all_106_0) = all_821_0
% 144.35/20.44 | | | | | | | | | | | | | | | | | (424) ~ (all_821_1 = 0) | ~ (all_821_2 = 0) |
% 144.35/20.44 | | | | | | | | | | | | | | | | | all_821_0 = 0
% 144.35/20.44 | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | BETA: splitting (324) gives:
% 144.35/20.44 | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | Case 1:
% 144.35/20.44 | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | (425) all_494_0 = 0
% 144.35/20.44 | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | REDUCE: (305), (425) imply:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | (426) $false
% 144.35/20.44 | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | CLOSE: (426) is inconsistent.
% 144.35/20.44 | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | Case 2:
% 144.35/20.44 | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | (427) all_489_0 = all_106_0 | ? [v0: any] : ? [v1:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | any] : ? [v2: any] : (in(all_489_0, all_106_0)
% 144.35/20.44 | | | | | | | | | | | | | | | | | | = v2 & in(all_489_0, all_50_2) = v1 &
% 144.35/20.44 | | | | | | | | | | | | | | | | | | in(all_106_0, all_50_2) = v0 & ( ~ (v1 = 0) | ~
% 144.35/20.44 | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0))
% 144.35/20.44 | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | BETA: splitting (326) gives:
% 144.35/20.44 | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | Case 1:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | (428) all_494_0 = 0
% 144.35/20.44 | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | REDUCE: (305), (428) imply:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | (429) $false
% 144.35/20.44 | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | CLOSE: (429) is inconsistent.
% 144.35/20.44 | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | Case 2:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | (430) all_489_0 = all_106_0 | ? [v0: any] : ? [v1:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | any] : ? [v2: any] : (in(all_489_0, all_106_0)
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | = v2 & in(all_489_0, all_46_0) = v1 &
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | in(all_106_0, all_46_0) = v0 & ( ~ (v1 = 0) | ~
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0))
% 144.35/20.44 | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | BETA: splitting (323) gives:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | Case 1:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | (431) all_494_0 = 0
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | REDUCE: (305), (431) imply:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | (432) $false
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | CLOSE: (432) is inconsistent.
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | Case 2:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | (433) all_489_0 = all_106_0 | ? [v0: any] : ? [v1:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | any] : ? [v2: any] : (in(all_489_0, all_106_0)
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | = v2 & in(all_489_0, all_50_2) = v0 &
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | in(all_106_0, all_50_2) = v1 & ( ~ (v1 = 0) | ~
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0))
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | Case 1:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | (434) all_494_0 = 0
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | REDUCE: (305), (434) imply:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | (435) $false
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | CLOSE: (435) is inconsistent.
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | Case 2:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | (436) all_489_0 = all_106_0 | ? [v0: any] : ? [v1:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | any] : ? [v2: any] : (in(all_489_0, all_106_0)
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | = v2 & in(all_489_0, all_46_0) = v0 &
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | in(all_106_0, all_46_0) = v1 & ( ~ (v1 = 0) | ~
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0))
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (427) gives:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | (437) all_489_0 = all_106_0
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (418), (437) imply:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | (438) $false
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (438) is inconsistent.
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | (439) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | (in(all_489_0, all_106_0) = v2 & in(all_489_0,
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | all_50_2) = v1 & in(all_106_0, all_50_2) = v0
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (439) with fresh symbols all_915_0,
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | all_915_1, all_915_2 gives:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | (440) in(all_489_0, all_106_0) = all_915_0 &
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | in(all_489_0, all_50_2) = all_915_1 &
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | in(all_106_0, all_50_2) = all_915_2 & ( ~
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | (all_915_1 = 0) | ~ (all_915_2 = 0) | all_915_0
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | = 0)
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (440) implies:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | (441) in(all_489_0, all_106_0) = all_915_0
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (430) gives:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | (442) all_489_0 = all_106_0
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (418), (442) imply:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | (443) $false
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (443) is inconsistent.
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | (444) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | (in(all_489_0, all_106_0) = v2 & in(all_489_0,
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | all_46_0) = v1 & in(all_106_0, all_46_0) = v0
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (444) with fresh symbols all_920_0,
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | all_920_1, all_920_2 gives:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | (445) in(all_489_0, all_106_0) = all_920_0 &
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | in(all_489_0, all_46_0) = all_920_1 &
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | in(all_106_0, all_46_0) = all_920_2 & ( ~
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | (all_920_1 = 0) | ~ (all_920_2 = 0) | all_920_0
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | = 0)
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (445) implies:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | (446) in(all_489_0, all_106_0) = all_920_0
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (433) gives:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | (447) all_489_0 = all_106_0
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (418), (447) imply:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | (448) $false
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (448) is inconsistent.
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | (449) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | (in(all_489_0, all_106_0) = v2 & in(all_489_0,
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | all_50_2) = v0 & in(all_106_0, all_50_2) = v1
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (449) with fresh symbols all_925_0,
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | all_925_1, all_925_2 gives:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | (450) in(all_489_0, all_106_0) = all_925_0 &
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | in(all_489_0, all_50_2) = all_925_2 &
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | in(all_106_0, all_50_2) = all_925_1 & ( ~
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | (all_925_1 = 0) | ~ (all_925_2 = 0) | all_925_0
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | = 0)
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (450) implies:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | (451) in(all_489_0, all_106_0) = all_925_0
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (436) gives:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | (452) all_489_0 = all_106_0
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (418), (452) imply:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | (453) $false
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (453) is inconsistent.
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | (454) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | (in(all_489_0, all_106_0) = v2 & in(all_489_0,
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | all_46_0) = v0 & in(all_106_0, all_46_0) = v1
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (454) with fresh symbols all_930_0,
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | all_930_1, all_930_2 gives:
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | (455) in(all_489_0, all_106_0) = all_930_0 &
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | in(all_489_0, all_46_0) = all_930_2 &
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | in(all_106_0, all_46_0) = all_930_1 & ( ~
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_930_1 = 0) | ~ (all_930_2 = 0) | all_930_0
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | = 0)
% 144.35/20.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (455) implies:
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | (456) in(all_489_0, all_106_0) = all_930_0
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with 0, all_821_2, all_50_1,
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | all_106_0, simplifying with (75), (421) gives:
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | (457) all_821_2 = 0
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with 0, all_821_1, all_50_1,
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | all_489_0, simplifying with (301), (422) gives:
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | (458) all_821_1 = 0
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_915_0, all_920_0,
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | all_106_0, all_489_0, simplifying with (441),
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | (446) gives:
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | (459) all_920_0 = all_915_0
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_745_0, all_920_0,
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | all_106_0, all_489_0, simplifying with (363),
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | (446) gives:
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | (460) all_920_0 = all_745_0
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_735_0, all_920_0,
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | all_106_0, all_489_0, simplifying with (340),
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | (446) gives:
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | (461) all_920_0 = all_735_0
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_821_0, all_925_0,
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | all_106_0, all_489_0, simplifying with (423),
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | (451) gives:
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | (462) all_925_0 = all_821_0
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_747_0, all_925_0,
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | all_106_0, all_489_0, simplifying with (362),
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | (451) gives:
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | (463) all_925_0 = all_747_0
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_745_0, all_925_0,
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | all_106_0, all_489_0, simplifying with (363),
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | (451) gives:
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | (464) all_925_0 = all_745_0
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_925_0, all_930_0,
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | all_106_0, all_489_0, simplifying with (451),
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | (456) gives:
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | (465) all_930_0 = all_925_0
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_737_0, all_930_0,
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | all_106_0, all_489_0, simplifying with (364),
% 145.06/20.44 | | | | | | | | | | | | | | | | | | | | | | | | | (456) gives:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | (466) all_930_0 = all_737_0
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (465), (466) imply:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | (467) all_925_0 = all_737_0
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (467) implies:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | (468) all_925_0 = all_737_0
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (468) imply:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | (469) all_821_0 = all_737_0
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (464) imply:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | (470) all_821_0 = all_745_0
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (463) imply:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | (471) all_821_0 = all_747_0
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (459), (461) imply:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | (472) all_915_0 = all_735_0
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (459), (460) imply:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | (473) all_915_0 = all_745_0
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (473) imply:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | (474) all_745_0 = all_735_0
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (474) implies:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | (475) all_745_0 = all_735_0
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (471) imply:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | (476) all_747_0 = all_745_0
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (469), (471) imply:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | (477) all_747_0 = all_737_0
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (476), (477) imply:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | (478) all_745_0 = all_737_0
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (478) implies:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | (479) all_745_0 = all_737_0
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (479) imply:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | (480) all_737_0 = all_735_0
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (480) implies:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | (481) all_737_0 = all_735_0
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (481) imply:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | (482) all_747_0 = all_735_0
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (471), (482) imply:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | (483) all_821_0 = all_735_0
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (342), (481) imply:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | (484) ~ (all_735_0 = 0)
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (424) gives:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (485) ~ (all_821_1 = 0)
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (458), (485) imply:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (486) $false
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (486) is inconsistent.
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (487) ~ (all_821_2 = 0) | all_821_0 = 0
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (487) gives:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (488) ~ (all_821_2 = 0)
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (457), (488) imply:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (489) $false
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (489) is inconsistent.
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (490) all_821_0 = 0
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (490) imply:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (491) all_735_0 = 0
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (491) imply:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (492) $false
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (492) is inconsistent.
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | | End of split
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | | End of split
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | End of split
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | End of split
% 145.06/20.45 | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | End of split
% 145.06/20.45 | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | End of split
% 145.06/20.45 | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | End of split
% 145.06/20.45 | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | End of split
% 145.06/20.45 | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | End of split
% 145.06/20.45 | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | Case 2:
% 145.06/20.45 | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | (493) ~ (all_320_0 = all_106_0)
% 145.06/20.45 | | | | | | | | | | | | | | (494) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 145.06/20.45 | | | | | | | | | | | | | | (in(all_320_0, all_106_0) = v2 & in(all_320_0,
% 145.06/20.45 | | | | | | | | | | | | | | all_50_1) = v1 & in(all_106_0, all_50_1) = v0
% 145.06/20.45 | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 145.06/20.45 | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | DELTA: instantiating (494) with fresh symbols all_520_0,
% 145.06/20.45 | | | | | | | | | | | | | | all_520_1, all_520_2 gives:
% 145.06/20.45 | | | | | | | | | | | | | | (495) in(all_320_0, all_106_0) = all_520_0 &
% 145.06/20.45 | | | | | | | | | | | | | | in(all_320_0, all_50_1) = all_520_1 &
% 145.06/20.45 | | | | | | | | | | | | | | in(all_106_0, all_50_1) = all_520_2 & ( ~
% 145.06/20.45 | | | | | | | | | | | | | | (all_520_1 = 0) | ~ (all_520_2 = 0) | all_520_0
% 145.06/20.45 | | | | | | | | | | | | | | = 0)
% 145.06/20.45 | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | ALPHA: (495) implies:
% 145.06/20.45 | | | | | | | | | | | | | | (496) in(all_106_0, all_50_1) = all_520_2
% 145.06/20.45 | | | | | | | | | | | | | | (497) in(all_320_0, all_50_1) = all_520_1
% 145.06/20.45 | | | | | | | | | | | | | | (498) in(all_320_0, all_106_0) = all_520_0
% 145.06/20.45 | | | | | | | | | | | | | | (499) ~ (all_520_1 = 0) | ~ (all_520_2 = 0) |
% 145.06/20.45 | | | | | | | | | | | | | | all_520_0 = 0
% 145.06/20.45 | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | BETA: splitting (287) gives:
% 145.06/20.45 | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | Case 1:
% 145.06/20.45 | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | (500) all_325_0 = 0
% 145.06/20.45 | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | REDUCE: (200), (500) imply:
% 145.06/20.45 | | | | | | | | | | | | | | | (501) $false
% 145.06/20.45 | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | CLOSE: (501) is inconsistent.
% 145.06/20.45 | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | Case 2:
% 145.06/20.45 | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | (502) all_320_0 = all_106_0 | ? [v0: any] : ? [v1:
% 145.06/20.45 | | | | | | | | | | | | | | | any] : ? [v2: any] : (in(all_320_0, all_106_0)
% 145.06/20.45 | | | | | | | | | | | | | | | = v2 & in(all_320_0, all_50_2) = v1 &
% 145.06/20.45 | | | | | | | | | | | | | | | in(all_106_0, all_50_2) = v0 & ( ~ (v1 = 0) | ~
% 145.06/20.45 | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0))
% 145.06/20.45 | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | BETA: splitting (286) gives:
% 145.06/20.45 | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | Case 1:
% 145.06/20.45 | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | (503) all_325_0 = 0
% 145.06/20.45 | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | REDUCE: (200), (503) imply:
% 145.06/20.45 | | | | | | | | | | | | | | | | (504) $false
% 145.06/20.45 | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | CLOSE: (504) is inconsistent.
% 145.06/20.45 | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | Case 2:
% 145.06/20.45 | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | (505) all_320_0 = all_106_0 | ? [v0: any] : ? [v1:
% 145.06/20.45 | | | | | | | | | | | | | | | | any] : ? [v2: any] : (in(all_320_0, all_106_0)
% 145.06/20.45 | | | | | | | | | | | | | | | | = v2 & in(all_320_0, all_50_2) = v0 &
% 145.06/20.45 | | | | | | | | | | | | | | | | in(all_106_0, all_50_2) = v1 & ( ~ (v1 = 0) | ~
% 145.06/20.45 | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0))
% 145.06/20.45 | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | BETA: splitting (279) gives:
% 145.06/20.45 | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | Case 1:
% 145.06/20.45 | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | (506) all_325_0 = 0
% 145.06/20.45 | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | REDUCE: (200), (506) imply:
% 145.06/20.45 | | | | | | | | | | | | | | | | | (507) $false
% 145.06/20.45 | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | CLOSE: (507) is inconsistent.
% 145.06/20.45 | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | Case 2:
% 145.06/20.45 | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | (508) all_320_0 = all_106_0 | ? [v0: any] : ? [v1:
% 145.06/20.45 | | | | | | | | | | | | | | | | | any] : ? [v2: any] : (in(all_320_0, all_106_0)
% 145.06/20.45 | | | | | | | | | | | | | | | | | = v2 & in(all_320_0, all_46_0) = v0 &
% 145.06/20.45 | | | | | | | | | | | | | | | | | in(all_106_0, all_46_0) = v1 & ( ~ (v1 = 0) | ~
% 145.06/20.45 | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0))
% 145.06/20.45 | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 145.06/20.45 | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | Case 1:
% 145.06/20.45 | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | (509) all_325_0 = 0
% 145.06/20.45 | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | REDUCE: (200), (509) imply:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | (510) $false
% 145.06/20.45 | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | CLOSE: (510) is inconsistent.
% 145.06/20.45 | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | Case 2:
% 145.06/20.45 | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | (511) all_320_0 = all_106_0 | ? [v0: any] : ? [v1:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | any] : ? [v2: any] : (in(all_320_0, all_106_0)
% 145.06/20.45 | | | | | | | | | | | | | | | | | | = v2 & in(all_320_0, all_46_0) = v1 &
% 145.06/20.45 | | | | | | | | | | | | | | | | | | in(all_106_0, all_46_0) = v0 & ( ~ (v1 = 0) | ~
% 145.06/20.45 | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0))
% 145.06/20.45 | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | BETA: splitting (502) gives:
% 145.06/20.45 | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | Case 1:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | (512) all_320_0 = all_106_0
% 145.06/20.45 | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | REDUCE: (493), (512) imply:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | (513) $false
% 145.06/20.45 | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | CLOSE: (513) is inconsistent.
% 145.06/20.45 | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | Case 2:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | (514) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | (in(all_320_0, all_106_0) = v2 & in(all_320_0,
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | all_50_2) = v1 & in(all_106_0, all_50_2) = v0
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 145.06/20.45 | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (514) with fresh symbols all_574_0,
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | all_574_1, all_574_2 gives:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | (515) in(all_320_0, all_106_0) = all_574_0 &
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | in(all_320_0, all_50_2) = all_574_1 &
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | in(all_106_0, all_50_2) = all_574_2 & ( ~
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | (all_574_1 = 0) | ~ (all_574_2 = 0) | all_574_0
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | = 0)
% 145.06/20.45 | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | ALPHA: (515) implies:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | (516) in(all_320_0, all_106_0) = all_574_0
% 145.06/20.45 | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | BETA: splitting (505) gives:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | Case 1:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | (517) all_320_0 = all_106_0
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | REDUCE: (493), (517) imply:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | (518) $false
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | | CLOSE: (518) is inconsistent.
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | |
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | Case 2:
% 145.06/20.45 | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | (519) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | (in(all_320_0, all_106_0) = v2 & in(all_320_0,
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | all_50_2) = v0 & in(all_106_0, all_50_2) = v1
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (519) with fresh symbols all_579_0,
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | all_579_1, all_579_2 gives:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | (520) in(all_320_0, all_106_0) = all_579_0 &
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | in(all_320_0, all_50_2) = all_579_2 &
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | in(all_106_0, all_50_2) = all_579_1 & ( ~
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | (all_579_1 = 0) | ~ (all_579_2 = 0) | all_579_0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | = 0)
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | ALPHA: (520) implies:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | (521) in(all_320_0, all_106_0) = all_579_0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | BETA: splitting (508) gives:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | Case 1:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | (522) all_320_0 = all_106_0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (493), (522) imply:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | (523) $false
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | CLOSE: (523) is inconsistent.
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | Case 2:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | (524) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | (in(all_320_0, all_106_0) = v2 & in(all_320_0,
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | all_46_0) = v0 & in(all_106_0, all_46_0) = v1
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (524) with fresh symbols all_584_0,
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | all_584_1, all_584_2 gives:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | (525) in(all_320_0, all_106_0) = all_584_0 &
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | in(all_320_0, all_46_0) = all_584_2 &
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | in(all_106_0, all_46_0) = all_584_1 & ( ~
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | (all_584_1 = 0) | ~ (all_584_2 = 0) | all_584_0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | = 0)
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | ALPHA: (525) implies:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | (526) in(all_320_0, all_106_0) = all_584_0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (511) gives:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (527) all_320_0 = all_106_0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (493), (527) imply:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (528) $false
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (528) is inconsistent.
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (529) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (in(all_320_0, all_106_0) = v2 & in(all_320_0,
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | all_46_0) = v1 & in(all_106_0, all_46_0) = v0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (529) with fresh symbols all_589_0,
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | all_589_1, all_589_2 gives:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (530) in(all_320_0, all_106_0) = all_589_0 &
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | in(all_320_0, all_46_0) = all_589_1 &
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | in(all_106_0, all_46_0) = all_589_2 & ( ~
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (all_589_1 = 0) | ~ (all_589_2 = 0) | all_589_0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | = 0)
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (530) implies:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (531) in(all_320_0, all_106_0) = all_589_0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with 0, all_520_2, all_50_1,
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | all_106_0, simplifying with (75), (496) gives:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (532) all_520_2 = 0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with 0, all_520_1, all_50_1,
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | all_320_0, simplifying with (182), (497) gives:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (533) all_520_1 = 0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_470_0, all_520_0,
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | all_106_0, all_320_0, simplifying with (307),
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (498) gives:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (534) all_520_0 = all_470_0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_468_0, all_579_0,
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | all_106_0, all_320_0, simplifying with (308),
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (521) gives:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (535) all_579_0 = all_468_0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_579_0, all_584_0,
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | all_106_0, all_320_0, simplifying with (521),
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (526) gives:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (536) all_584_0 = all_579_0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_574_0, all_584_0,
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | all_106_0, all_320_0, simplifying with (516),
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (526) gives:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (537) all_584_0 = all_574_0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_470_0, all_584_0,
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | all_106_0, all_320_0, simplifying with (307),
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (526) gives:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (538) all_584_0 = all_470_0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_520_0, all_589_0,
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | all_106_0, all_320_0, simplifying with (498),
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (531) gives:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (539) all_589_0 = all_520_0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_466_0, all_589_0,
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | all_106_0, all_320_0, simplifying with (290),
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (531) gives:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (540) all_589_0 = all_466_0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (539), (540) imply:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (541) all_520_0 = all_466_0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | SIMP: (541) implies:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (542) all_520_0 = all_466_0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (537) imply:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (543) all_579_0 = all_574_0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | SIMP: (543) implies:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (544) all_579_0 = all_574_0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (537), (538) imply:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (545) all_574_0 = all_470_0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (544) imply:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (546) all_574_0 = all_468_0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | SIMP: (546) implies:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (547) all_574_0 = all_468_0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (545), (547) imply:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (548) all_470_0 = all_468_0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | SIMP: (548) implies:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (549) all_470_0 = all_468_0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (542) imply:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (550) all_470_0 = all_466_0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | SIMP: (550) implies:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (551) all_470_0 = all_466_0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (549), (551) imply:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (552) all_468_0 = all_466_0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | SIMP: (552) implies:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (553) all_468_0 = all_466_0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (292), (553) imply:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | (554) ~ (all_466_0 = 0)
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (499) gives:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | | (555) ~ (all_520_1 = 0)
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (533), (555) imply:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | | (556) $false
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (556) is inconsistent.
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | | (557) ~ (all_520_2 = 0) | all_520_0 = 0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (557) gives:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | | | (558) ~ (all_520_2 = 0)
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (532), (558) imply:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | | | (559) $false
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (559) is inconsistent.
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | | | (560) all_520_0 = 0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (560) imply:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | | | (561) all_466_0 = 0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (561) implies:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | | | (562) all_466_0 = 0
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (562) imply:
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | | | (563) $false
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (563) is inconsistent.
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | | End of split
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | | End of split
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | | End of split
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | | End of split
% 145.06/20.46 | | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | | End of split
% 145.06/20.46 | | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | | End of split
% 145.06/20.46 | | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | | End of split
% 145.06/20.46 | | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | | End of split
% 145.06/20.46 | | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | | End of split
% 145.06/20.46 | | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | | End of split
% 145.06/20.46 | | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | | End of split
% 145.06/20.46 | | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | End of split
% 145.06/20.46 | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | End of split
% 145.06/20.46 | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | End of split
% 145.06/20.46 | | | | | | | | |
% 145.06/20.46 | | | | | | | | Case 2:
% 145.06/20.46 | | | | | | | | |
% 145.06/20.46 | | | | | | | | | (564) ~ (all_211_0 = all_106_0)
% 145.06/20.46 | | | | | | | | | (565) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 145.06/20.46 | | | | | | | | | (in(all_211_0, all_106_0) = v2 & in(all_211_0,
% 145.06/20.46 | | | | | | | | | all_50_1) = v1 & in(all_106_0, all_50_1) = v0 & (
% 145.06/20.46 | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 145.06/20.46 | | | | | | | | |
% 145.06/20.46 | | | | | | | | | DELTA: instantiating (565) with fresh symbols all_354_0,
% 145.06/20.46 | | | | | | | | | all_354_1, all_354_2 gives:
% 145.06/20.46 | | | | | | | | | (566) in(all_211_0, all_106_0) = all_354_0 & in(all_211_0,
% 145.06/20.46 | | | | | | | | | all_50_1) = all_354_1 & in(all_106_0, all_50_1) =
% 145.06/20.46 | | | | | | | | | all_354_2 & ( ~ (all_354_1 = 0) | ~ (all_354_2 = 0)
% 145.06/20.46 | | | | | | | | | | all_354_0 = 0)
% 145.06/20.46 | | | | | | | | |
% 145.06/20.46 | | | | | | | | | ALPHA: (566) implies:
% 145.06/20.46 | | | | | | | | | (567) in(all_106_0, all_50_1) = all_354_2
% 145.06/20.46 | | | | | | | | | (568) in(all_211_0, all_50_1) = all_354_1
% 145.06/20.46 | | | | | | | | | (569) in(all_211_0, all_106_0) = all_354_0
% 145.06/20.46 | | | | | | | | | (570) ~ (all_354_1 = 0) | ~ (all_354_2 = 0) | all_354_0 =
% 145.06/20.46 | | | | | | | | | 0
% 145.06/20.46 | | | | | | | | |
% 145.06/20.46 | | | | | | | | | BETA: splitting (171) gives:
% 145.06/20.46 | | | | | | | | |
% 145.06/20.46 | | | | | | | | | Case 1:
% 145.06/20.46 | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | (571) all_214_0 = 0
% 145.06/20.46 | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | REDUCE: (169), (571) imply:
% 145.06/20.46 | | | | | | | | | | (572) $false
% 145.06/20.46 | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | CLOSE: (572) is inconsistent.
% 145.06/20.46 | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | Case 2:
% 145.06/20.46 | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | (573) all_211_0 = all_106_0 | ? [v0: any] : ? [v1: any]
% 145.06/20.46 | | | | | | | | | | : ? [v2: any] : (in(all_211_0, all_106_0) = v2 &
% 145.06/20.46 | | | | | | | | | | in(all_211_0, all_46_0) = v0 & in(all_106_0,
% 145.06/20.46 | | | | | | | | | | all_46_0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) |
% 145.06/20.46 | | | | | | | | | | v2 = 0))
% 145.06/20.46 | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | BETA: splitting (172) gives:
% 145.06/20.46 | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | Case 1:
% 145.06/20.46 | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | (574) all_214_0 = 0
% 145.06/20.46 | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | REDUCE: (169), (574) imply:
% 145.06/20.46 | | | | | | | | | | | (575) $false
% 145.06/20.46 | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | | CLOSE: (575) is inconsistent.
% 145.06/20.46 | | | | | | | | | | |
% 145.06/20.46 | | | | | | | | | | Case 2:
% 145.06/20.46 | | | | | | | | | | |
% 145.06/20.47 | | | | | | | | | | | (576) all_211_0 = all_106_0 | ? [v0: any] : ? [v1:
% 145.06/20.47 | | | | | | | | | | | any] : ? [v2: any] : (in(all_211_0, all_106_0)
% 145.06/20.47 | | | | | | | | | | | = v2 & in(all_211_0, all_46_0) = v1 &
% 145.06/20.47 | | | | | | | | | | | in(all_106_0, all_46_0) = v0 & ( ~ (v1 = 0) | ~
% 145.06/20.47 | | | | | | | | | | | (v0 = 0) | v2 = 0))
% 145.06/20.47 | | | | | | | | | | |
% 145.06/20.47 | | | | | | | | | | | BETA: splitting (573) gives:
% 145.06/20.47 | | | | | | | | | | |
% 145.06/20.47 | | | | | | | | | | | Case 1:
% 145.06/20.47 | | | | | | | | | | | |
% 145.06/20.47 | | | | | | | | | | | | (577) all_211_0 = all_106_0
% 145.06/20.47 | | | | | | | | | | | |
% 145.06/20.47 | | | | | | | | | | | | REDUCE: (564), (577) imply:
% 145.06/20.47 | | | | | | | | | | | | (578) $false
% 145.06/20.47 | | | | | | | | | | | |
% 145.06/20.47 | | | | | | | | | | | | CLOSE: (578) is inconsistent.
% 145.06/20.47 | | | | | | | | | | | |
% 145.06/20.47 | | | | | | | | | | | Case 2:
% 145.06/20.47 | | | | | | | | | | | |
% 145.06/20.47 | | | | | | | | | | | | (579) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 145.06/20.47 | | | | | | | | | | | | (in(all_211_0, all_106_0) = v2 & in(all_211_0,
% 145.06/20.47 | | | | | | | | | | | | all_46_0) = v0 & in(all_106_0, all_46_0) = v1
% 145.06/20.47 | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 145.06/20.47 | | | | | | | | | | | |
% 145.06/20.47 | | | | | | | | | | | | DELTA: instantiating (579) with fresh symbols all_367_0,
% 145.06/20.47 | | | | | | | | | | | | all_367_1, all_367_2 gives:
% 145.06/20.47 | | | | | | | | | | | | (580) in(all_211_0, all_106_0) = all_367_0 &
% 145.06/20.47 | | | | | | | | | | | | in(all_211_0, all_46_0) = all_367_2 &
% 145.06/20.47 | | | | | | | | | | | | in(all_106_0, all_46_0) = all_367_1 & ( ~
% 145.06/20.47 | | | | | | | | | | | | (all_367_1 = 0) | ~ (all_367_2 = 0) | all_367_0
% 145.06/20.47 | | | | | | | | | | | | = 0)
% 145.06/20.47 | | | | | | | | | | | |
% 145.06/20.47 | | | | | | | | | | | | ALPHA: (580) implies:
% 145.06/20.47 | | | | | | | | | | | | (581) in(all_211_0, all_106_0) = all_367_0
% 145.06/20.47 | | | | | | | | | | | |
% 145.06/20.47 | | | | | | | | | | | | BETA: splitting (576) gives:
% 145.06/20.47 | | | | | | | | | | | |
% 145.06/20.47 | | | | | | | | | | | | Case 1:
% 145.06/20.47 | | | | | | | | | | | | |
% 145.06/20.47 | | | | | | | | | | | | | (582) all_211_0 = all_106_0
% 145.06/20.47 | | | | | | | | | | | | |
% 145.06/20.47 | | | | | | | | | | | | | REDUCE: (564), (582) imply:
% 145.06/20.47 | | | | | | | | | | | | | (583) $false
% 145.06/20.47 | | | | | | | | | | | | |
% 145.06/20.47 | | | | | | | | | | | | | CLOSE: (583) is inconsistent.
% 145.06/20.47 | | | | | | | | | | | | |
% 145.06/20.47 | | | | | | | | | | | | Case 2:
% 145.06/20.47 | | | | | | | | | | | | |
% 145.06/20.47 | | | | | | | | | | | | | (584) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 145.06/20.47 | | | | | | | | | | | | | (in(all_211_0, all_106_0) = v2 & in(all_211_0,
% 145.06/20.47 | | | | | | | | | | | | | all_46_0) = v1 & in(all_106_0, all_46_0) = v0
% 145.06/20.47 | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 145.06/20.47 | | | | | | | | | | | | |
% 145.06/20.47 | | | | | | | | | | | | | DELTA: instantiating (584) with fresh symbols all_372_0,
% 145.06/20.47 | | | | | | | | | | | | | all_372_1, all_372_2 gives:
% 145.06/20.47 | | | | | | | | | | | | | (585) in(all_211_0, all_106_0) = all_372_0 &
% 145.06/20.47 | | | | | | | | | | | | | in(all_211_0, all_46_0) = all_372_1 &
% 145.06/20.47 | | | | | | | | | | | | | in(all_106_0, all_46_0) = all_372_2 & ( ~
% 145.06/20.47 | | | | | | | | | | | | | (all_372_1 = 0) | ~ (all_372_2 = 0) | all_372_0
% 145.06/20.47 | | | | | | | | | | | | | = 0)
% 145.06/20.47 | | | | | | | | | | | | |
% 145.06/20.47 | | | | | | | | | | | | | ALPHA: (585) implies:
% 145.06/20.47 | | | | | | | | | | | | | (586) in(all_211_0, all_106_0) = all_372_0
% 145.06/20.47 | | | | | | | | | | | | |
% 145.06/20.47 | | | | | | | | | | | | | GROUND_INST: instantiating (19) with 0, all_354_2, all_50_1,
% 145.06/20.47 | | | | | | | | | | | | | all_106_0, simplifying with (75), (567) gives:
% 145.06/20.47 | | | | | | | | | | | | | (587) all_354_2 = 0
% 145.06/20.47 | | | | | | | | | | | | |
% 145.06/20.47 | | | | | | | | | | | | | GROUND_INST: instantiating (19) with 0, all_354_1, all_50_1,
% 145.06/20.47 | | | | | | | | | | | | | all_211_0, simplifying with (142), (568) gives:
% 145.06/20.47 | | | | | | | | | | | | | (588) all_354_1 = 0
% 145.06/20.47 | | | | | | | | | | | | |
% 145.06/20.47 | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_304_0, all_367_0,
% 145.06/20.47 | | | | | | | | | | | | | all_106_0, all_211_0, simplifying with (191),
% 145.06/20.47 | | | | | | | | | | | | | (581) gives:
% 145.06/20.47 | | | | | | | | | | | | | (589) all_367_0 = all_304_0
% 145.06/20.47 | | | | | | | | | | | | |
% 145.06/20.47 | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_367_0, all_372_0,
% 145.06/20.47 | | | | | | | | | | | | | all_106_0, all_211_0, simplifying with (581),
% 145.06/20.47 | | | | | | | | | | | | | (586) gives:
% 145.06/20.47 | | | | | | | | | | | | | (590) all_372_0 = all_367_0
% 145.06/20.47 | | | | | | | | | | | | |
% 145.06/20.47 | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_354_0, all_372_0,
% 145.06/20.47 | | | | | | | | | | | | | all_106_0, all_211_0, simplifying with (569),
% 145.06/20.47 | | | | | | | | | | | | | (586) gives:
% 145.06/20.47 | | | | | | | | | | | | | (591) all_372_0 = all_354_0
% 145.06/20.47 | | | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_302_0, all_372_0,
% 145.17/20.47 | | | | | | | | | | | | | all_106_0, all_211_0, simplifying with (176),
% 145.17/20.47 | | | | | | | | | | | | | (586) gives:
% 145.17/20.47 | | | | | | | | | | | | | (592) all_372_0 = all_302_0
% 145.17/20.47 | | | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | | | | COMBINE_EQS: (590), (591) imply:
% 145.17/20.47 | | | | | | | | | | | | | (593) all_367_0 = all_354_0
% 145.17/20.47 | | | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | | | | SIMP: (593) implies:
% 145.17/20.47 | | | | | | | | | | | | | (594) all_367_0 = all_354_0
% 145.17/20.47 | | | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | | | | COMBINE_EQS: (591), (592) imply:
% 145.17/20.47 | | | | | | | | | | | | | (595) all_354_0 = all_302_0
% 145.17/20.47 | | | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | | | | COMBINE_EQS: (589), (594) imply:
% 145.17/20.47 | | | | | | | | | | | | | (596) all_354_0 = all_304_0
% 145.17/20.47 | | | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | | | | SIMP: (596) implies:
% 145.17/20.47 | | | | | | | | | | | | | (597) all_354_0 = all_304_0
% 145.17/20.47 | | | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | | | | COMBINE_EQS: (595), (597) imply:
% 145.17/20.47 | | | | | | | | | | | | | (598) all_304_0 = all_302_0
% 145.17/20.47 | | | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | | | | REDUCE: (178), (598) imply:
% 145.17/20.47 | | | | | | | | | | | | | (599) ~ (all_302_0 = 0)
% 145.17/20.47 | | | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | | | | BETA: splitting (570) gives:
% 145.17/20.47 | | | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | | | | Case 1:
% 145.17/20.47 | | | | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | | | | | (600) ~ (all_354_1 = 0)
% 145.17/20.47 | | | | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | | | | | REDUCE: (588), (600) imply:
% 145.17/20.47 | | | | | | | | | | | | | | (601) $false
% 145.17/20.47 | | | | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | | | | | CLOSE: (601) is inconsistent.
% 145.17/20.47 | | | | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | | | | Case 2:
% 145.17/20.47 | | | | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | | | | | (602) ~ (all_354_2 = 0) | all_354_0 = 0
% 145.17/20.47 | | | | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | | | | | BETA: splitting (602) gives:
% 145.17/20.47 | | | | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | | | | | Case 1:
% 145.17/20.47 | | | | | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | | | | | | (603) ~ (all_354_2 = 0)
% 145.17/20.47 | | | | | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | | | | | | REDUCE: (587), (603) imply:
% 145.17/20.47 | | | | | | | | | | | | | | | (604) $false
% 145.17/20.47 | | | | | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | | | | | | CLOSE: (604) is inconsistent.
% 145.17/20.47 | | | | | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | | | | | Case 2:
% 145.17/20.47 | | | | | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | | | | | | (605) all_354_0 = 0
% 145.17/20.47 | | | | | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | | | | | | COMBINE_EQS: (595), (605) imply:
% 145.17/20.47 | | | | | | | | | | | | | | | (606) all_302_0 = 0
% 145.17/20.47 | | | | | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | | | | | | SIMP: (606) implies:
% 145.17/20.47 | | | | | | | | | | | | | | | (607) all_302_0 = 0
% 145.17/20.47 | | | | | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | | | | | | REDUCE: (599), (607) imply:
% 145.17/20.47 | | | | | | | | | | | | | | | (608) $false
% 145.17/20.47 | | | | | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | | | | | | CLOSE: (608) is inconsistent.
% 145.17/20.47 | | | | | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | | | | | End of split
% 145.17/20.47 | | | | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | | | | End of split
% 145.17/20.47 | | | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | | | End of split
% 145.17/20.47 | | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | | End of split
% 145.17/20.47 | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | End of split
% 145.17/20.47 | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | End of split
% 145.17/20.47 | | | | | | | | |
% 145.17/20.47 | | | | | | | | End of split
% 145.17/20.47 | | | | | | | |
% 145.17/20.47 | | | | | | | End of split
% 145.17/20.47 | | | | | | |
% 145.17/20.47 | | | | | | Case 2:
% 145.17/20.47 | | | | | | |
% 145.17/20.47 | | | | | | | (609) ~ (all_153_0 = all_106_0)
% 145.17/20.47 | | | | | | | (610) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 145.17/20.47 | | | | | | | (in(all_153_0, all_106_0) = v2 & in(all_153_0, all_50_1)
% 145.17/20.47 | | | | | | | = v0 & in(all_106_0, all_50_1) = v1 & ( ~ (v1 = 0) | ~
% 145.17/20.47 | | | | | | | (v0 = 0) | v2 = 0))
% 145.17/20.47 | | | | | | |
% 145.17/20.47 | | | | | | | DELTA: instantiating (610) with fresh symbols all_262_0,
% 145.17/20.47 | | | | | | | all_262_1, all_262_2 gives:
% 145.17/20.47 | | | | | | | (611) in(all_153_0, all_106_0) = all_262_0 & in(all_153_0,
% 145.17/20.47 | | | | | | | all_50_1) = all_262_2 & in(all_106_0, all_50_1) =
% 145.17/20.47 | | | | | | | all_262_1 & ( ~ (all_262_1 = 0) | ~ (all_262_2 = 0) |
% 145.17/20.47 | | | | | | | all_262_0 = 0)
% 145.17/20.47 | | | | | | |
% 145.17/20.47 | | | | | | | ALPHA: (611) implies:
% 145.17/20.47 | | | | | | | (612) in(all_106_0, all_50_1) = all_262_1
% 145.17/20.47 | | | | | | | (613) in(all_153_0, all_50_1) = all_262_2
% 145.17/20.47 | | | | | | | (614) in(all_153_0, all_106_0) = all_262_0
% 145.17/20.47 | | | | | | | (615) ~ (all_262_1 = 0) | ~ (all_262_2 = 0) | all_262_0 = 0
% 145.17/20.47 | | | | | | |
% 145.17/20.47 | | | | | | | BETA: splitting (133) gives:
% 145.17/20.47 | | | | | | |
% 145.17/20.47 | | | | | | | Case 1:
% 145.17/20.47 | | | | | | | |
% 145.17/20.47 | | | | | | | | (616) all_156_0 = 0
% 145.17/20.47 | | | | | | | |
% 145.17/20.47 | | | | | | | | REDUCE: (120), (616) imply:
% 145.17/20.47 | | | | | | | | (617) $false
% 145.17/20.47 | | | | | | | |
% 145.17/20.47 | | | | | | | | CLOSE: (617) is inconsistent.
% 145.17/20.47 | | | | | | | |
% 145.17/20.47 | | | | | | | Case 2:
% 145.17/20.47 | | | | | | | |
% 145.17/20.47 | | | | | | | | (618) all_153_0 = all_106_0 | ? [v0: any] : ? [v1: any] :
% 145.17/20.47 | | | | | | | | ? [v2: any] : (in(all_153_0, all_106_0) = v2 &
% 145.17/20.47 | | | | | | | | in(all_153_0, all_46_0) = v0 & in(all_106_0,
% 145.17/20.47 | | | | | | | | all_46_0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 =
% 145.17/20.47 | | | | | | | | 0))
% 145.17/20.47 | | | | | | | |
% 145.17/20.47 | | | | | | | | BETA: splitting (134) gives:
% 145.17/20.47 | | | | | | | |
% 145.17/20.47 | | | | | | | | Case 1:
% 145.17/20.47 | | | | | | | | |
% 145.17/20.47 | | | | | | | | | (619) all_156_0 = 0
% 145.17/20.47 | | | | | | | | |
% 145.17/20.47 | | | | | | | | | REDUCE: (120), (619) imply:
% 145.17/20.47 | | | | | | | | | (620) $false
% 145.17/20.47 | | | | | | | | |
% 145.17/20.47 | | | | | | | | | CLOSE: (620) is inconsistent.
% 145.17/20.47 | | | | | | | | |
% 145.17/20.47 | | | | | | | | Case 2:
% 145.17/20.47 | | | | | | | | |
% 145.17/20.47 | | | | | | | | | (621) all_153_0 = all_106_0 | ? [v0: any] : ? [v1: any] :
% 145.17/20.47 | | | | | | | | | ? [v2: any] : (in(all_153_0, all_106_0) = v2 &
% 145.17/20.47 | | | | | | | | | in(all_153_0, all_46_0) = v1 & in(all_106_0,
% 145.17/20.47 | | | | | | | | | all_46_0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2
% 145.17/20.47 | | | | | | | | | = 0))
% 145.17/20.47 | | | | | | | | |
% 145.17/20.47 | | | | | | | | | BETA: splitting (618) gives:
% 145.17/20.47 | | | | | | | | |
% 145.17/20.47 | | | | | | | | | Case 1:
% 145.17/20.47 | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | (622) all_153_0 = all_106_0
% 145.17/20.47 | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | REDUCE: (609), (622) imply:
% 145.17/20.47 | | | | | | | | | | (623) $false
% 145.17/20.47 | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | CLOSE: (623) is inconsistent.
% 145.17/20.47 | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | Case 2:
% 145.17/20.47 | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | (624) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 145.17/20.47 | | | | | | | | | | (in(all_153_0, all_106_0) = v2 & in(all_153_0,
% 145.17/20.47 | | | | | | | | | | all_46_0) = v0 & in(all_106_0, all_46_0) = v1 &
% 145.17/20.47 | | | | | | | | | | ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 145.17/20.47 | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | DELTA: instantiating (624) with fresh symbols all_275_0,
% 145.17/20.47 | | | | | | | | | | all_275_1, all_275_2 gives:
% 145.17/20.47 | | | | | | | | | | (625) in(all_153_0, all_106_0) = all_275_0 &
% 145.17/20.47 | | | | | | | | | | in(all_153_0, all_46_0) = all_275_2 & in(all_106_0,
% 145.17/20.47 | | | | | | | | | | all_46_0) = all_275_1 & ( ~ (all_275_1 = 0) | ~
% 145.17/20.47 | | | | | | | | | | (all_275_2 = 0) | all_275_0 = 0)
% 145.17/20.47 | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | ALPHA: (625) implies:
% 145.17/20.47 | | | | | | | | | | (626) in(all_153_0, all_106_0) = all_275_0
% 145.17/20.47 | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | BETA: splitting (621) gives:
% 145.17/20.47 | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | Case 1:
% 145.17/20.47 | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | | (627) all_153_0 = all_106_0
% 145.17/20.47 | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | | REDUCE: (609), (627) imply:
% 145.17/20.47 | | | | | | | | | | | (628) $false
% 145.17/20.47 | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | | CLOSE: (628) is inconsistent.
% 145.17/20.47 | | | | | | | | | | |
% 145.17/20.47 | | | | | | | | | | Case 2:
% 145.17/20.47 | | | | | | | | | | |
% 145.17/20.48 | | | | | | | | | | | (629) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 145.17/20.48 | | | | | | | | | | | (in(all_153_0, all_106_0) = v2 & in(all_153_0,
% 145.17/20.48 | | | | | | | | | | | all_46_0) = v1 & in(all_106_0, all_46_0) = v0
% 145.17/20.48 | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 145.17/20.48 | | | | | | | | | | |
% 145.17/20.48 | | | | | | | | | | | DELTA: instantiating (629) with fresh symbols all_280_0,
% 145.17/20.48 | | | | | | | | | | | all_280_1, all_280_2 gives:
% 145.17/20.48 | | | | | | | | | | | (630) in(all_153_0, all_106_0) = all_280_0 &
% 145.17/20.48 | | | | | | | | | | | in(all_153_0, all_46_0) = all_280_1 &
% 145.17/20.48 | | | | | | | | | | | in(all_106_0, all_46_0) = all_280_2 & ( ~
% 145.17/20.48 | | | | | | | | | | | (all_280_1 = 0) | ~ (all_280_2 = 0) | all_280_0
% 145.17/20.48 | | | | | | | | | | | = 0)
% 145.17/20.48 | | | | | | | | | | |
% 145.17/20.48 | | | | | | | | | | | ALPHA: (630) implies:
% 145.17/20.48 | | | | | | | | | | | (631) in(all_153_0, all_106_0) = all_280_0
% 145.17/20.48 | | | | | | | | | | |
% 145.17/20.48 | | | | | | | | | | | GROUND_INST: instantiating (19) with 0, all_262_1, all_50_1,
% 145.17/20.48 | | | | | | | | | | | all_106_0, simplifying with (75), (612) gives:
% 145.17/20.48 | | | | | | | | | | | (632) all_262_1 = 0
% 145.17/20.48 | | | | | | | | | | |
% 145.17/20.48 | | | | | | | | | | | GROUND_INST: instantiating (19) with 0, all_262_2, all_50_1,
% 145.17/20.48 | | | | | | | | | | | all_153_0, simplifying with (115), (613) gives:
% 145.17/20.48 | | | | | | | | | | | (633) all_262_2 = 0
% 145.17/20.48 | | | | | | | | | | |
% 145.17/20.48 | | | | | | | | | | | GROUND_INST: instantiating (19) with all_275_0, all_280_0,
% 145.17/20.48 | | | | | | | | | | | all_106_0, all_153_0, simplifying with (626),
% 145.17/20.48 | | | | | | | | | | | (631) gives:
% 145.17/20.48 | | | | | | | | | | | (634) all_280_0 = all_275_0
% 145.17/20.48 | | | | | | | | | | |
% 145.17/20.48 | | | | | | | | | | | GROUND_INST: instantiating (19) with all_262_0, all_280_0,
% 145.17/20.48 | | | | | | | | | | | all_106_0, all_153_0, simplifying with (614),
% 145.17/20.48 | | | | | | | | | | | (631) gives:
% 145.17/20.48 | | | | | | | | | | | (635) all_280_0 = all_262_0
% 145.17/20.48 | | | | | | | | | | |
% 145.17/20.48 | | | | | | | | | | | GROUND_INST: instantiating (19) with all_199_0, all_280_0,
% 145.17/20.48 | | | | | | | | | | | all_106_0, all_153_0, simplifying with (139),
% 145.17/20.48 | | | | | | | | | | | (631) gives:
% 145.17/20.48 | | | | | | | | | | | (636) all_280_0 = all_199_0
% 145.17/20.48 | | | | | | | | | | |
% 145.17/20.48 | | | | | | | | | | | COMBINE_EQS: (634), (636) imply:
% 145.17/20.48 | | | | | | | | | | | (637) all_275_0 = all_199_0
% 145.17/20.48 | | | | | | | | | | |
% 145.17/20.48 | | | | | | | | | | | COMBINE_EQS: (634), (635) imply:
% 145.17/20.48 | | | | | | | | | | | (638) all_275_0 = all_262_0
% 145.17/20.48 | | | | | | | | | | |
% 145.17/20.48 | | | | | | | | | | | COMBINE_EQS: (637), (638) imply:
% 145.17/20.48 | | | | | | | | | | | (639) all_262_0 = all_199_0
% 145.17/20.48 | | | | | | | | | | |
% 145.17/20.48 | | | | | | | | | | | SIMP: (639) implies:
% 145.17/20.48 | | | | | | | | | | | (640) all_262_0 = all_199_0
% 145.17/20.48 | | | | | | | | | | |
% 145.17/20.48 | | | | | | | | | | | BETA: splitting (615) gives:
% 145.17/20.48 | | | | | | | | | | |
% 145.17/20.48 | | | | | | | | | | | Case 1:
% 145.17/20.48 | | | | | | | | | | | |
% 145.17/20.48 | | | | | | | | | | | | (641) ~ (all_262_1 = 0)
% 145.17/20.48 | | | | | | | | | | | |
% 145.17/20.48 | | | | | | | | | | | | REDUCE: (632), (641) imply:
% 145.17/20.48 | | | | | | | | | | | | (642) $false
% 145.17/20.48 | | | | | | | | | | | |
% 145.17/20.48 | | | | | | | | | | | | CLOSE: (642) is inconsistent.
% 145.17/20.48 | | | | | | | | | | | |
% 145.17/20.48 | | | | | | | | | | | Case 2:
% 145.17/20.48 | | | | | | | | | | | |
% 145.17/20.48 | | | | | | | | | | | | (643) ~ (all_262_2 = 0) | all_262_0 = 0
% 145.17/20.48 | | | | | | | | | | | |
% 145.17/20.48 | | | | | | | | | | | | BETA: splitting (643) gives:
% 145.17/20.48 | | | | | | | | | | | |
% 145.17/20.48 | | | | | | | | | | | | Case 1:
% 145.17/20.48 | | | | | | | | | | | | |
% 145.17/20.48 | | | | | | | | | | | | | (644) ~ (all_262_2 = 0)
% 145.17/20.48 | | | | | | | | | | | | |
% 145.17/20.48 | | | | | | | | | | | | | REDUCE: (633), (644) imply:
% 145.17/20.48 | | | | | | | | | | | | | (645) $false
% 145.17/20.48 | | | | | | | | | | | | |
% 145.17/20.48 | | | | | | | | | | | | | CLOSE: (645) is inconsistent.
% 145.17/20.48 | | | | | | | | | | | | |
% 145.17/20.48 | | | | | | | | | | | | Case 2:
% 145.17/20.48 | | | | | | | | | | | | |
% 145.17/20.48 | | | | | | | | | | | | | (646) all_262_0 = 0
% 145.17/20.48 | | | | | | | | | | | | |
% 145.17/20.48 | | | | | | | | | | | | | COMBINE_EQS: (640), (646) imply:
% 145.17/20.48 | | | | | | | | | | | | | (647) all_199_0 = 0
% 145.17/20.48 | | | | | | | | | | | | |
% 145.17/20.48 | | | | | | | | | | | | | REDUCE: (138), (647) imply:
% 145.17/20.48 | | | | | | | | | | | | | (648) $false
% 145.17/20.48 | | | | | | | | | | | | |
% 145.17/20.48 | | | | | | | | | | | | | CLOSE: (648) is inconsistent.
% 145.17/20.48 | | | | | | | | | | | | |
% 145.17/20.48 | | | | | | | | | | | | End of split
% 145.17/20.48 | | | | | | | | | | | |
% 145.17/20.48 | | | | | | | | | | | End of split
% 145.17/20.48 | | | | | | | | | | |
% 145.17/20.48 | | | | | | | | | | End of split
% 145.17/20.48 | | | | | | | | | |
% 145.17/20.48 | | | | | | | | | End of split
% 145.17/20.48 | | | | | | | | |
% 145.17/20.48 | | | | | | | | End of split
% 145.17/20.48 | | | | | | | |
% 145.17/20.48 | | | | | | | End of split
% 145.17/20.48 | | | | | | |
% 145.17/20.48 | | | | | | End of split
% 145.17/20.48 | | | | | |
% 145.17/20.48 | | | | | End of split
% 145.17/20.48 | | | | |
% 145.17/20.48 | | | | End of split
% 145.17/20.48 | | | |
% 145.17/20.48 | | | End of split
% 145.17/20.48 | | |
% 145.17/20.48 | | End of split
% 145.17/20.48 | |
% 145.17/20.48 | End of split
% 145.17/20.48 |
% 145.17/20.48 End of proof
% 145.17/20.48
% 145.17/20.48 Sub-proof #1 shows that the following formulas are inconsistent:
% 145.17/20.48 ----------------------------------------------------------------
% 145.17/20.48 (1) all_1342_2 = 0
% 145.17/20.48 (2) ~ (all_1342_1 = 0) | ~ (all_1342_2 = 0) | all_1342_0 = 0
% 145.17/20.48 (3) all_1342_0 = all_729_0
% 145.17/20.48 (4) ~ (all_729_0 = 0)
% 145.17/20.48 (5) all_1342_1 = 0
% 145.17/20.48
% 145.17/20.48 Begin of proof
% 145.17/20.48 |
% 145.17/20.48 | BETA: splitting (2) gives:
% 145.17/20.48 |
% 145.17/20.48 | Case 1:
% 145.17/20.48 | |
% 145.17/20.48 | | (6) ~ (all_1342_1 = 0)
% 145.17/20.48 | |
% 145.17/20.48 | | REDUCE: (5), (6) imply:
% 145.17/20.48 | | (7) $false
% 145.17/20.48 | |
% 145.17/20.48 | | CLOSE: (7) is inconsistent.
% 145.17/20.48 | |
% 145.17/20.48 | Case 2:
% 145.17/20.48 | |
% 145.17/20.48 | | (8) ~ (all_1342_2 = 0) | all_1342_0 = 0
% 145.17/20.48 | |
% 145.17/20.48 | | BETA: splitting (8) gives:
% 145.17/20.48 | |
% 145.17/20.48 | | Case 1:
% 145.17/20.48 | | |
% 145.17/20.48 | | | (9) ~ (all_1342_2 = 0)
% 145.17/20.48 | | |
% 145.17/20.48 | | | REDUCE: (1), (9) imply:
% 145.17/20.48 | | | (10) $false
% 145.17/20.48 | | |
% 145.17/20.48 | | | CLOSE: (10) is inconsistent.
% 145.17/20.48 | | |
% 145.17/20.48 | | Case 2:
% 145.17/20.48 | | |
% 145.17/20.48 | | | (11) all_1342_0 = 0
% 145.17/20.48 | | |
% 145.17/20.48 | | | COMBINE_EQS: (3), (11) imply:
% 145.17/20.48 | | | (12) all_729_0 = 0
% 145.17/20.48 | | |
% 145.17/20.48 | | | REDUCE: (4), (12) imply:
% 145.17/20.48 | | | (13) $false
% 145.17/20.48 | | |
% 145.17/20.48 | | | CLOSE: (13) is inconsistent.
% 145.17/20.48 | | |
% 145.17/20.48 | | End of split
% 145.17/20.48 | |
% 145.17/20.48 | End of split
% 145.17/20.48 |
% 145.17/20.48 End of proof
% 145.17/20.48 % SZS output end Proof for theBenchmark
% 145.17/20.48
% 145.17/20.48 19869ms
%------------------------------------------------------------------------------