TSTP Solution File: SWW102+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWW102+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n024.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 : Fri Sep 1 00:49:18 EDT 2023
% Result : Theorem 71.06s 9.99s
% Output : Proof 75.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW102+1 : TPTP v8.1.2. Released v5.2.0.
% 0.06/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Aug 27 20:27:38 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.19/0.59 ________ _____
% 0.19/0.59 ___ __ \_________(_)________________________________
% 0.19/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.59
% 0.19/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.59 (2023-06-19)
% 0.19/0.59
% 0.19/0.59 (c) Philipp Rümmer, 2009-2023
% 0.19/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.59 Amanda Stjerna.
% 0.19/0.59 Free software under BSD-3-Clause.
% 0.19/0.59
% 0.19/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.59
% 0.19/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.60 Running up to 7 provers in parallel.
% 0.19/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.35/1.19 Prover 1: Preprocessing ...
% 3.35/1.21 Prover 4: Preprocessing ...
% 3.35/1.24 Prover 3: Preprocessing ...
% 3.35/1.24 Prover 6: Preprocessing ...
% 3.35/1.24 Prover 2: Preprocessing ...
% 3.35/1.24 Prover 5: Preprocessing ...
% 3.35/1.24 Prover 0: Preprocessing ...
% 7.47/1.78 Prover 1: Constructing countermodel ...
% 8.06/1.82 Prover 3: Constructing countermodel ...
% 8.06/1.83 Prover 6: Proving ...
% 8.06/1.84 Prover 5: Proving ...
% 8.67/1.90 Prover 4: Constructing countermodel ...
% 9.21/1.96 Prover 0: Proving ...
% 9.82/2.08 Prover 2: Proving ...
% 10.91/2.18 Prover 3: gave up
% 10.91/2.18 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 11.52/2.26 Prover 7: Preprocessing ...
% 11.68/2.32 Prover 1: gave up
% 12.00/2.33 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 12.13/2.39 Prover 8: Preprocessing ...
% 13.06/2.51 Prover 7: Warning: ignoring some quantifiers
% 13.06/2.54 Prover 7: Constructing countermodel ...
% 13.69/2.60 Prover 8: Warning: ignoring some quantifiers
% 13.69/2.61 Prover 8: Constructing countermodel ...
% 14.33/2.64 Prover 6: gave up
% 14.33/2.64 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 14.74/2.70 Prover 9: Preprocessing ...
% 17.07/3.01 Prover 9: Constructing countermodel ...
% 17.62/3.12 Prover 8: gave up
% 17.62/3.12 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 18.08/3.17 Prover 10: Preprocessing ...
% 19.60/3.31 Prover 10: Warning: ignoring some quantifiers
% 19.60/3.32 Prover 10: Constructing countermodel ...
% 20.17/3.42 Prover 7: gave up
% 20.17/3.43 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 20.80/3.47 Prover 11: Preprocessing ...
% 21.23/3.53 Prover 10: gave up
% 21.23/3.53 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391
% 21.23/3.59 Prover 12: Preprocessing ...
% 21.94/3.70 Prover 11: Constructing countermodel ...
% 22.85/3.81 Prover 12: Proving ...
% 40.90/6.10 Prover 12: stopped
% 40.90/6.12 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 41.48/6.16 Prover 13: Preprocessing ...
% 42.76/6.34 Prover 13: Warning: ignoring some quantifiers
% 42.76/6.35 Prover 13: Constructing countermodel ...
% 50.45/7.36 Prover 13: gave up
% 50.45/7.37 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379
% 50.45/7.41 Prover 14: Preprocessing ...
% 51.91/7.58 Prover 14: Proving ...
% 56.32/8.07 Prover 2: stopped
% 56.43/8.08 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181
% 56.43/8.10 Prover 15: Preprocessing ...
% 56.87/8.21 Prover 15: Proving ...
% 71.06/9.99 Prover 4: Found proof (size 2871)
% 71.06/9.99 Prover 4: proved (9375ms)
% 71.06/9.99 Prover 5: stopped
% 71.06/9.99 Prover 14: stopped
% 71.06/9.99 Prover 15: stopped
% 71.06/9.99 Prover 0: stopped
% 71.06/9.99 Prover 9: stopped
% 71.06/9.99 Prover 11: stopped
% 71.06/9.99
% 71.06/9.99 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 71.06/9.99
% 73.01/10.64 % SZS output start Proof for theBenchmark
% 73.01/10.64 Assumptions after simplification:
% 73.01/10.64 ---------------------------------
% 73.01/10.64
% 73.01/10.64 (def_bool)
% 73.01/10.67 $i(true) & $i(false) & ! [v0: $i] : (v0 = true | v0 = false | ~ (bool(v0) =
% 73.01/10.67 0) | ~ $i(v0)) & ! [v0: int] : (v0 = 0 | ~ (bool(true) = v0)) & ! [v0:
% 73.01/10.67 int] : (v0 = 0 | ~ (bool(false) = v0))
% 73.01/10.67
% 73.01/10.67 (def_f1)
% 73.01/10.67 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 73.01/10.67 (impl(v1, v2) = v3) | ~ (impl(v0, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 73.01/10.68 $i(v0) | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : (f1(v0, v1, v2) = v5 &
% 73.01/10.68 lazy_impl(v6, v7) = v5 & impl(v4, v2) = v7 & prop(v2) = v6 & $i(v7) &
% 73.01/10.68 $i(v6) & $i(v5))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i]
% 73.01/10.68 : ( ~ (f1(v0, v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: $i]
% 73.01/10.68 : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : (lazy_impl(v4, v7) = v3 &
% 73.01/10.68 impl(v6, v2) = v7 & impl(v1, v2) = v5 & impl(v0, v5) = v6 & prop(v2) = v4
% 73.01/10.68 & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3)))
% 73.01/10.68
% 73.01/10.68 (def_f2)
% 73.01/10.68 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 73.01/10.68 (lazy_impl(v0, v3) = v4) | ~ (impl(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) |
% 73.01/10.68 ~ $i(v0) | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : (f2(v0, v1, v2) = v5 &
% 73.01/10.68 lazy_impl(v6, v7) = v5 & impl(v4, v2) = v7 & prop(v2) = v6 & $i(v7) &
% 73.01/10.68 $i(v6) & $i(v5))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i]
% 73.01/10.68 : ( ~ (f2(v0, v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: $i]
% 73.01/10.68 : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : (lazy_impl(v4, v7) = v3 &
% 73.01/10.68 lazy_impl(v0, v5) = v6 & impl(v6, v2) = v7 & impl(v1, v2) = v5 & prop(v2)
% 73.01/10.68 = v4 & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3)))
% 73.01/10.68
% 73.01/10.68 (def_f3)
% 73.01/10.69 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 73.01/10.69 $i] : ! [v6: $i] : ( ~ (impl(v4, v2) = v5) | ~ (impl(v3, v5) = v6) | ~
% 73.01/10.69 (impl(v1, v2) = v4) | ~ (impl(v0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 73.01/10.69 $i(v0) | ? [v7: $i] : ? [v8: $i] : (f3(v0, v1, v2) = v7 & lazy_impl(v8,
% 73.01/10.69 v6) = v7 & prop(v2) = v8 & $i(v8) & $i(v7))) & ! [v0: $i] : ! [v1: $i]
% 73.01/10.69 : ! [v2: $i] : ! [v3: $i] : ( ~ (f3(v0, v1, v2) = v3) | ~ $i(v2) | ~
% 73.01/10.69 $i(v1) | ~ $i(v0) | ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 73.01/10.69 ? [v8: $i] : (lazy_impl(v4, v8) = v3 & impl(v6, v2) = v7 & impl(v5, v7) =
% 73.01/10.69 v8 & impl(v1, v2) = v6 & impl(v0, v2) = v5 & prop(v2) = v4 & $i(v8) &
% 73.01/10.69 $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3)))
% 73.01/10.69
% 73.01/10.69 (def_f7)
% 73.01/10.69 ! [v0: $i] : ! [v1: $i] : ( ~ (f7(v0) = v1) | ~ $i(v0) | ? [v2: $i] :
% 73.01/10.69 (lazy_impl(v2, v0) = v1 & prop(v0) = v2 & $i(v2) & $i(v1))) & ! [v0: $i] :
% 73.01/10.69 ! [v1: $i] : ( ~ (prop(v0) = v1) | ~ $i(v0) | ? [v2: $i] : (f7(v0) = v2 &
% 73.01/10.69 lazy_impl(v1, v0) = v2 & $i(v2)))
% 73.01/10.69
% 73.01/10.69 (def_false2)
% 73.01/10.69 $i(false2) & ? [v0: $i] : ? [v1: $i] : (f7(v0) = v1 & phi(v1) = false2 &
% 73.01/10.69 $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~ (f7(v2) = v3) | ~ $i(v2)
% 73.01/10.69 | ? [v4: int] : ( ~ (v4 = 0) & forallprefers(v3, v1) = v4)))
% 73.01/10.69
% 73.01/10.69 (def_forallprefers)
% 73.01/10.70 $i(true) & $i(false) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 73.01/10.70 (forallprefers(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ?
% 73.01/10.70 [v4: any] : ? [v5: any] : ? [v6: any] : (d(v1) = v4 & d(v0) = v3 &
% 73.01/10.70 bool(v1) = v6 & bool(v0) = v5 & ( ~ (v4 = 0) | (v3 = 0 & ( ~ (v6 = 0) | v5
% 73.01/10.70 = 0))))) & ! [v0: $i] : ! [v1: $i] : (v1 = true | ~
% 73.01/10.70 (forallprefers(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3:
% 73.01/10.70 any] : ? [v4: any] : (d(v1) = 0 & d(v0) = v2 & bool(v1) = v4 & bool(v0) =
% 73.01/10.70 v3 & ( ~ (v2 = 0) | (v4 = 0 & ~ (v3 = 0))))) & ! [v0: $i] : ! [v1: $i]
% 73.01/10.70 : (v0 = false | ~ (forallprefers(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ?
% 73.01/10.70 [v2: any] : ? [v3: any] : ? [v4: any] : (d(v1) = 0 & d(v0) = v2 & bool(v1)
% 73.01/10.70 = v4 & bool(v0) = v3 & ( ~ (v2 = 0) | (v4 = 0 & ~ (v3 = 0))))) & ! [v0:
% 73.01/10.70 int] : (v0 = 0 | ~ (forallprefers(false, true) = v0))
% 73.01/10.70
% 73.01/10.70 (def_not2)
% 73.01/10.70 $i(false2) & ! [v0: $i] : ! [v1: $i] : ( ~ (not2(v0) = v1) | ~ $i(v0) |
% 73.01/10.70 (impl(v0, false2) = v1 & $i(v1))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 73.01/10.70 (impl(v0, false2) = v1) | ~ $i(v0) | (not2(v0) = v1 & $i(v1)))
% 73.01/10.70
% 73.01/10.70 (def_phi)
% 73.01/10.70 $i(err) & ! [v0: $i] : ! [v1: $i] : ( ~ (phi(v0) = v1) | ~ $i(v0) | ? [v2:
% 73.01/10.70 any] : (d(v0) = v2 & ((v2 = 0 & v1 = v0) | (v1 = err & ~ (v2 = 0))))) &
% 73.01/10.70 ! [v0: $i] : ! [v1: any] : ( ~ (d(v0) = v1) | ~ $i(v0) | ? [v2: $i] :
% 73.01/10.70 (phi(v0) = v2 & $i(v2) & ((v2 = v0 & v1 = 0) | (v2 = err & ~ (v1 = 0)))))
% 73.01/10.70
% 73.01/10.70 (distinct_false_true_err)
% 73.01/10.70 ~ (err = true) & ~ (err = false) & ~ (true = false) & $i(err) & $i(true) &
% 73.01/10.70 $i(false)
% 73.01/10.70
% 73.01/10.70 (false_true_err_in_d)
% 73.01/10.70 d(err) = 0 & d(true) = 0 & d(false) = 0 & $i(err) & $i(true) & $i(false)
% 73.01/10.70
% 73.01/10.70 (impl_axiom1)
% 73.01/10.71 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (impl(v0, v1) = v2) | ~ $i(v1)
% 73.01/10.71 | ~ $i(v0) | ? [v3: any] : ? [v4: $i] : (phi(v0) = v4 & bool(v0) = v3 &
% 73.01/10.71 $i(v4) & (v4 = v2 | v3 = 0)))
% 73.01/10.71
% 73.01/10.71 (impl_axiom2)
% 73.34/10.71 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (impl(v0, v1) = v2) | ~ $i(v1)
% 73.34/10.71 | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] : (phi(v1) = v5 &
% 73.34/10.71 bool(v1) = v4 & bool(v0) = v3 & $i(v5) & ( ~ (v3 = 0) | v5 = v2 | v4 =
% 73.34/10.71 0)))
% 73.34/10.71
% 73.34/10.71 (impl_axiom3)
% 73.34/10.71 $i(true) & $i(false) & ! [v0: $i] : ! [v1: $i] : (v1 = true | ~
% 73.34/10.71 (impl(false, v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & bool(v0)
% 73.34/10.71 = v2)) & ! [v0: $i] : ( ~ (bool(v0) = 0) | ~ $i(v0) | impl(false, v0) =
% 73.34/10.71 true)
% 73.34/10.71
% 73.34/10.71 (impl_axiom4)
% 73.34/10.71 $i(true) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (impl(true, v0) = v1) |
% 73.34/10.71 ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & bool(v0) = v2)) & ! [v0: $i] : ( ~
% 73.34/10.71 (bool(v0) = 0) | ~ $i(v0) | impl(true, v0) = v0)
% 73.34/10.71
% 73.34/10.71 (lazy_and1_axiom3)
% 73.34/10.71 $i(true) & ! [v0: $i] : ! [v1: $i] : ( ~ (lazy_and1(true, v0) = v1) | ~
% 73.34/10.71 $i(v0) | (phi(v0) = v1 & $i(v1))) & ! [v0: $i] : ! [v1: $i] : ( ~ (phi(v0)
% 73.34/10.71 = v1) | ~ $i(v0) | (lazy_and1(true, v0) = v1 & $i(v1)))
% 73.34/10.71
% 73.34/10.71 (lazy_impl_axiom1)
% 73.34/10.71 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (lazy_impl(v0, v1) = v2) | ~
% 73.34/10.71 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: $i] : (phi(v0) = v4 & bool(v0) =
% 73.34/10.71 v3 & $i(v4) & (v4 = v2 | v3 = 0)))
% 73.34/10.71
% 73.34/10.71 (lazy_impl_axiom2)
% 73.34/10.71 $i(true) & $i(false) & ! [v0: $i] : ! [v1: $i] : (v1 = true | ~
% 73.34/10.71 (lazy_impl(false, v0) = v1) | ~ $i(v0))
% 73.34/10.71
% 73.34/10.71 (lazy_impl_axiom3)
% 73.34/10.72 $i(true) & ! [v0: $i] : ! [v1: $i] : ( ~ (lazy_impl(true, v0) = v1) | ~
% 73.34/10.72 $i(v0) | (phi(v0) = v1 & $i(v1))) & ! [v0: $i] : ! [v1: $i] : ( ~ (phi(v0)
% 73.34/10.72 = v1) | ~ $i(v0) | (lazy_impl(true, v0) = v1 & $i(v1)))
% 73.34/10.72
% 73.34/10.72 (not1_axiom1)
% 73.34/10.72 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (bool(v0) = v1) | ~ $i(v0) | ?
% 73.34/10.72 [v2: $i] : (not1(v0) = v2 & phi(v0) = v2 & $i(v2))) & ! [v0: $i] : ! [v1:
% 73.34/10.72 $i] : ( ~ (not1(v0) = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: $i] :
% 73.34/10.72 (phi(v0) = v3 & bool(v0) = v2 & $i(v3) & (v3 = v1 | v2 = 0))) & ! [v0: $i]
% 73.34/10.72 : ! [v1: $i] : ( ~ (phi(v0) = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: $i] :
% 73.34/10.72 (not1(v0) = v3 & bool(v0) = v2 & $i(v3) & (v3 = v1 | v2 = 0)))
% 73.34/10.72
% 73.34/10.72 (not1_axiom2)
% 73.34/10.72 not1(false) = true & $i(true) & $i(false)
% 73.34/10.72
% 73.34/10.72 (not1_axiom3)
% 73.34/10.72 not1(true) = false & $i(true) & $i(false)
% 73.34/10.72
% 73.34/10.72 (not1_not2)
% 73.34/10.72 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ( ~ (v2 = v1) & not2(v0) = v2 &
% 73.34/10.72 not1(v0) = v1 & $i(v2) & $i(v1) & $i(v0))
% 73.34/10.72
% 73.34/10.72 (prop_false)
% 73.34/10.72 $i(false) & ! [v0: $i] : ! [v1: $i] : (v1 = false | ~ (prop(v0) = v1) | ~
% 73.34/10.72 $i(v0) | bool(v0) = 0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (bool(v0)
% 73.34/10.72 = v1) | ~ $i(v0) | prop(v0) = false) & ! [v0: $i] : ( ~ (prop(v0) =
% 73.34/10.72 false) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & bool(v0) = v1)) & !
% 73.34/10.72 [v0: $i] : ( ~ (bool(v0) = 0) | ~ $i(v0) | ? [v1: $i] : ( ~ (v1 = false) &
% 73.34/10.72 prop(v0) = v1 & $i(v1)))
% 73.34/10.72
% 73.34/10.72 (prop_true)
% 73.34/10.73 $i(true) & ! [v0: $i] : ! [v1: $i] : (v1 = true | ~ (prop(v0) = v1) | ~
% 73.34/10.73 $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & bool(v0) = v2)) & ! [v0: $i] : !
% 73.34/10.73 [v1: int] : (v1 = 0 | ~ (bool(v0) = v1) | ~ $i(v0) | ? [v2: $i] : ( ~ (v2 =
% 73.34/10.73 true) & prop(v0) = v2 & $i(v2))) & ! [v0: $i] : ( ~ (prop(v0) = true) |
% 73.34/10.73 ~ $i(v0) | bool(v0) = 0) & ! [v0: $i] : ( ~ (bool(v0) = 0) | ~ $i(v0) |
% 73.34/10.73 prop(v0) = true)
% 73.34/10.73
% 73.34/10.73 (function-axioms)
% 73.34/10.74 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0
% 73.34/10.74 | ~ (f4(v4, v3, v2) = v1) | ~ (f4(v4, v3, v2) = v0)) & ! [v0: $i] : !
% 73.34/10.74 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (f3(v4, v3,
% 73.34/10.74 v2) = v1) | ~ (f3(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 73.34/10.74 [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (f2(v4, v3, v2) = v1) |
% 73.34/10.74 ~ (f2(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 73.34/10.74 $i] : ! [v4: $i] : (v1 = v0 | ~ (f1(v4, v3, v2) = v1) | ~ (f1(v4, v3, v2)
% 73.34/10.74 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0
% 73.34/10.74 | ~ (f6(v3, v2) = v1) | ~ (f6(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] :
% 73.34/10.74 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (f5(v3, v2) = v1) | ~ (f5(v3, v2) =
% 73.34/10.74 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 73.34/10.74 ~ (apply(v3, v2) = v1) | ~ (apply(v3, v2) = v0)) & ! [v0: $i] : ! [v1:
% 73.34/10.74 $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (or2(v3, v2) = v1) | ~
% 73.34/10.74 (or2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i]
% 73.34/10.74 : (v1 = v0 | ~ (or1(v3, v2) = v1) | ~ (or1(v3, v2) = v0)) & ! [v0: $i] : !
% 73.34/10.74 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (lazy_and2(v3, v2) = v1)
% 73.34/10.74 | ~ (lazy_and2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 73.34/10.74 ! [v3: $i] : (v1 = v0 | ~ (lazy_and1(v3, v2) = v1) | ~ (lazy_and1(v3, v2) =
% 73.34/10.74 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 73.34/10.74 ~ (and2(v3, v2) = v1) | ~ (and2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 73.34/10.74 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (and1(v3, v2) = v1) | ~ (and1(v3,
% 73.34/10.74 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1
% 73.34/10.74 = v0 | ~ (lazy_impl(v3, v2) = v1) | ~ (lazy_impl(v3, v2) = v0)) & ! [v0:
% 73.34/10.74 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (impl(v3, v2)
% 73.34/10.74 = v1) | ~ (impl(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 73.34/10.74 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 73.34/10.74 (existsprefers(v3, v2) = v1) | ~ (existsprefers(v3, v2) = v0)) & ! [v0:
% 73.34/10.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 73.34/10.74 : (v1 = v0 | ~ (forallprefers(v3, v2) = v1) | ~ (forallprefers(v3, v2) =
% 73.34/10.74 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (not2(v2) =
% 73.34/10.74 v1) | ~ (not2(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1
% 73.34/10.74 = v0 | ~ (not1(v2) = v1) | ~ (not1(v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 73.34/10.74 : ! [v2: $i] : (v1 = v0 | ~ (f7(v2) = v1) | ~ (f7(v2) = v0)) & ! [v0: $i]
% 73.34/10.74 : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (exists2(v2) = v1) | ~
% 73.34/10.74 (exists2(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 |
% 73.34/10.74 ~ (exists1(v2) = v1) | ~ (exists1(v2) = v0)) & ! [v0: $i] : ! [v1: $i] :
% 73.34/10.74 ! [v2: $i] : (v1 = v0 | ~ (prop(v2) = v1) | ~ (prop(v2) = v0)) & ! [v0: $i]
% 73.34/10.74 : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (phi(v2) = v1) | ~ (phi(v2) =
% 73.34/10.74 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 73.34/10.74 $i] : (v1 = v0 | ~ (d(v2) = v1) | ~ (d(v2) = v0)) & ! [v0:
% 73.34/10.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 73.34/10.74 ~ (bool(v2) = v1) | ~ (bool(v2) = v0))
% 73.34/10.74
% 73.34/10.74 Further assumptions not needed in the proof:
% 73.34/10.74 --------------------------------------------
% 73.34/10.74 and1_axiom1, and1_axiom2, and1_axiom3, and1_axiom4, def_and2, def_exists2,
% 73.34/10.74 def_existsprefers, def_f4, def_f5, def_f6, def_false1, def_lazy_and2, def_or2,
% 73.34/10.74 exists1_axiom1, lazy_and1_axiom1, lazy_and1_axiom2, or1_axiom1, or1_axiom2,
% 73.34/10.74 or1_axiom3, or1_axiom4
% 73.34/10.74
% 73.34/10.74 Those formulas are unsatisfiable:
% 73.34/10.74 ---------------------------------
% 73.34/10.74
% 73.34/10.74 Begin of proof
% 73.34/10.74 |
% 73.34/10.74 | ALPHA: (def_bool) implies:
% 73.34/10.75 | (1) ! [v0: int] : (v0 = 0 | ~ (bool(false) = v0))
% 73.34/10.75 | (2) ! [v0: int] : (v0 = 0 | ~ (bool(true) = v0))
% 73.34/10.75 | (3) ! [v0: $i] : (v0 = true | v0 = false | ~ (bool(v0) = 0) | ~ $i(v0))
% 73.34/10.75 |
% 73.34/10.75 | ALPHA: (distinct_false_true_err) implies:
% 73.34/10.75 | (4) ~ (err = false)
% 73.34/10.75 | (5) ~ (err = true)
% 73.34/10.75 |
% 73.34/10.75 | ALPHA: (false_true_err_in_d) implies:
% 73.34/10.75 | (6) d(false) = 0
% 73.34/10.75 | (7) d(true) = 0
% 73.34/10.75 | (8) d(err) = 0
% 73.34/10.75 |
% 73.34/10.75 | ALPHA: (def_forallprefers) implies:
% 73.34/10.75 | (9) ! [v0: int] : (v0 = 0 | ~ (forallprefers(false, true) = v0))
% 73.34/10.75 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 73.34/10.75 | (forallprefers(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any]
% 73.34/10.75 | : ? [v4: any] : ? [v5: any] : ? [v6: any] : (d(v1) = v4 & d(v0) =
% 73.34/10.75 | v3 & bool(v1) = v6 & bool(v0) = v5 & ( ~ (v4 = 0) | (v3 = 0 & ( ~
% 73.34/10.75 | (v6 = 0) | v5 = 0)))))
% 73.34/10.75 |
% 73.34/10.75 | ALPHA: (def_phi) implies:
% 73.34/10.75 | (11) $i(err)
% 73.34/10.75 | (12) ! [v0: $i] : ! [v1: any] : ( ~ (d(v0) = v1) | ~ $i(v0) | ? [v2:
% 73.34/10.75 | $i] : (phi(v0) = v2 & $i(v2) & ((v2 = v0 & v1 = 0) | (v2 = err &
% 73.34/10.75 | ~ (v1 = 0)))))
% 73.34/10.75 | (13) ! [v0: $i] : ! [v1: $i] : ( ~ (phi(v0) = v1) | ~ $i(v0) | ? [v2:
% 73.34/10.75 | any] : (d(v0) = v2 & ((v2 = 0 & v1 = v0) | (v1 = err & ~ (v2 =
% 73.34/10.75 | 0)))))
% 73.34/10.75 |
% 73.34/10.75 | ALPHA: (prop_true) implies:
% 73.34/10.75 | (14) ! [v0: $i] : ( ~ (bool(v0) = 0) | ~ $i(v0) | prop(v0) = true)
% 73.34/10.75 | (15) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (bool(v0) = v1) | ~ $i(v0)
% 73.34/10.75 | | ? [v2: $i] : ( ~ (v2 = true) & prop(v0) = v2 & $i(v2)))
% 73.34/10.75 | (16) ! [v0: $i] : ! [v1: $i] : (v1 = true | ~ (prop(v0) = v1) | ~
% 73.34/10.75 | $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & bool(v0) = v2))
% 73.34/10.75 |
% 73.34/10.75 | ALPHA: (prop_false) implies:
% 73.34/10.75 | (17) ! [v0: $i] : ( ~ (bool(v0) = 0) | ~ $i(v0) | ? [v1: $i] : ( ~ (v1 =
% 73.34/10.75 | false) & prop(v0) = v1 & $i(v1)))
% 73.34/10.76 | (18) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (bool(v0) = v1) | ~ $i(v0)
% 73.34/10.76 | | prop(v0) = false)
% 73.34/10.76 | (19) ! [v0: $i] : ! [v1: $i] : (v1 = false | ~ (prop(v0) = v1) | ~
% 73.34/10.76 | $i(v0) | bool(v0) = 0)
% 73.34/10.76 |
% 73.34/10.76 | ALPHA: (impl_axiom3) implies:
% 73.34/10.76 | (20) ! [v0: $i] : ( ~ (bool(v0) = 0) | ~ $i(v0) | impl(false, v0) = true)
% 73.34/10.76 |
% 73.34/10.76 | ALPHA: (impl_axiom4) implies:
% 73.34/10.76 | (21) ! [v0: $i] : ( ~ (bool(v0) = 0) | ~ $i(v0) | impl(true, v0) = v0)
% 73.34/10.76 |
% 73.34/10.76 | ALPHA: (lazy_impl_axiom2) implies:
% 73.34/10.76 | (22) ! [v0: $i] : ! [v1: $i] : (v1 = true | ~ (lazy_impl(false, v0) =
% 73.34/10.76 | v1) | ~ $i(v0))
% 73.34/10.76 |
% 73.34/10.76 | ALPHA: (lazy_impl_axiom3) implies:
% 73.34/10.76 | (23) ! [v0: $i] : ! [v1: $i] : ( ~ (phi(v0) = v1) | ~ $i(v0) |
% 73.34/10.76 | (lazy_impl(true, v0) = v1 & $i(v1)))
% 73.34/10.76 | (24) ! [v0: $i] : ! [v1: $i] : ( ~ (lazy_impl(true, v0) = v1) | ~ $i(v0)
% 73.34/10.76 | | (phi(v0) = v1 & $i(v1)))
% 73.34/10.76 |
% 73.34/10.76 | ALPHA: (def_f1) implies:
% 73.34/10.76 | (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 73.34/10.76 | ( ~ (impl(v1, v2) = v3) | ~ (impl(v0, v3) = v4) | ~ $i(v2) | ~
% 73.34/10.76 | $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 73.34/10.76 | (f1(v0, v1, v2) = v5 & lazy_impl(v6, v7) = v5 & impl(v4, v2) = v7 &
% 73.34/10.76 | prop(v2) = v6 & $i(v7) & $i(v6) & $i(v5)))
% 73.34/10.76 |
% 73.34/10.76 | ALPHA: (lazy_and1_axiom3) implies:
% 73.34/10.76 | (26) ! [v0: $i] : ! [v1: $i] : ( ~ (phi(v0) = v1) | ~ $i(v0) |
% 73.34/10.76 | (lazy_and1(true, v0) = v1 & $i(v1)))
% 73.34/10.76 |
% 73.34/10.76 | ALPHA: (def_f2) implies:
% 73.34/10.76 | (27) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 73.34/10.76 | ( ~ (lazy_impl(v0, v3) = v4) | ~ (impl(v1, v2) = v3) | ~ $i(v2) | ~
% 73.34/10.76 | $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 73.34/10.76 | (f2(v0, v1, v2) = v5 & lazy_impl(v6, v7) = v5 & impl(v4, v2) = v7 &
% 73.34/10.76 | prop(v2) = v6 & $i(v7) & $i(v6) & $i(v5)))
% 73.34/10.76 |
% 73.34/10.76 | ALPHA: (def_f3) implies:
% 73.34/10.76 | (28) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 73.34/10.76 | ! [v5: $i] : ! [v6: $i] : ( ~ (impl(v4, v2) = v5) | ~ (impl(v3, v5)
% 73.34/10.76 | = v6) | ~ (impl(v1, v2) = v4) | ~ (impl(v0, v2) = v3) | ~
% 73.34/10.76 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v7: $i] : ? [v8: $i] : (f3(v0,
% 73.34/10.76 | v1, v2) = v7 & lazy_impl(v8, v6) = v7 & prop(v2) = v8 & $i(v8) &
% 73.34/10.76 | $i(v7)))
% 73.34/10.76 |
% 73.34/10.76 | ALPHA: (def_f7) implies:
% 73.34/10.77 | (29) ! [v0: $i] : ! [v1: $i] : ( ~ (prop(v0) = v1) | ~ $i(v0) | ? [v2:
% 73.34/10.77 | $i] : (f7(v0) = v2 & lazy_impl(v1, v0) = v2 & $i(v2)))
% 73.34/10.77 | (30) ! [v0: $i] : ! [v1: $i] : ( ~ (f7(v0) = v1) | ~ $i(v0) | ? [v2:
% 73.34/10.77 | $i] : (lazy_impl(v2, v0) = v1 & prop(v0) = v2 & $i(v2) & $i(v1)))
% 73.34/10.77 |
% 73.34/10.77 | ALPHA: (def_false2) implies:
% 73.34/10.77 | (31) ? [v0: $i] : ? [v1: $i] : (f7(v0) = v1 & phi(v1) = false2 & $i(v1) &
% 73.34/10.77 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~ (f7(v2) = v3) | ~ $i(v2) |
% 73.34/10.77 | ? [v4: int] : ( ~ (v4 = 0) & forallprefers(v3, v1) = v4)))
% 73.34/10.77 |
% 73.34/10.77 | ALPHA: (not1_axiom1) implies:
% 73.34/10.77 | (32) ! [v0: $i] : ! [v1: $i] : ( ~ (phi(v0) = v1) | ~ $i(v0) | ? [v2:
% 73.34/10.77 | any] : ? [v3: $i] : (not1(v0) = v3 & bool(v0) = v2 & $i(v3) & (v3
% 73.34/10.77 | = v1 | v2 = 0)))
% 73.34/10.77 | (33) ! [v0: $i] : ! [v1: $i] : ( ~ (not1(v0) = v1) | ~ $i(v0) | ? [v2:
% 73.34/10.77 | any] : ? [v3: $i] : (phi(v0) = v3 & bool(v0) = v2 & $i(v3) & (v3
% 73.34/10.77 | = v1 | v2 = 0)))
% 73.34/10.77 |
% 73.34/10.77 | ALPHA: (not1_axiom2) implies:
% 73.34/10.77 | (34) not1(false) = true
% 73.34/10.77 |
% 73.34/10.77 | ALPHA: (not1_axiom3) implies:
% 73.34/10.77 | (35) $i(false)
% 73.34/10.77 | (36) $i(true)
% 73.34/10.77 | (37) not1(true) = false
% 73.34/10.77 |
% 73.34/10.77 | ALPHA: (def_not2) implies:
% 73.34/10.77 | (38) ! [v0: $i] : ! [v1: $i] : ( ~ (impl(v0, false2) = v1) | ~ $i(v0) |
% 73.34/10.77 | (not2(v0) = v1 & $i(v1)))
% 73.34/10.77 | (39) ! [v0: $i] : ! [v1: $i] : ( ~ (not2(v0) = v1) | ~ $i(v0) |
% 73.34/10.77 | (impl(v0, false2) = v1 & $i(v1)))
% 73.34/10.77 |
% 73.34/10.77 | ALPHA: (function-axioms) implies:
% 73.34/10.77 | (40) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 73.34/10.77 | : (v1 = v0 | ~ (bool(v2) = v1) | ~ (bool(v2) = v0))
% 73.34/10.77 | (41) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 73.34/10.77 | : (v1 = v0 | ~ (d(v2) = v1) | ~ (d(v2) = v0))
% 73.34/10.77 | (42) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (phi(v2) = v1)
% 73.34/10.77 | | ~ (phi(v2) = v0))
% 73.66/10.77 | (43) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (prop(v2) =
% 73.66/10.77 | v1) | ~ (prop(v2) = v0))
% 73.66/10.77 | (44) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (f7(v2) = v1)
% 73.66/10.77 | | ~ (f7(v2) = v0))
% 73.66/10.78 | (45) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (not1(v2) =
% 73.66/10.78 | v1) | ~ (not1(v2) = v0))
% 73.66/10.78 | (46) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (not2(v2) =
% 73.66/10.78 | v1) | ~ (not2(v2) = v0))
% 73.66/10.78 | (47) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 73.66/10.78 | (impl(v3, v2) = v1) | ~ (impl(v3, v2) = v0))
% 73.66/10.78 | (48) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 73.66/10.78 | (lazy_impl(v3, v2) = v1) | ~ (lazy_impl(v3, v2) = v0))
% 73.66/10.78 | (49) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 73.66/10.78 | (lazy_and1(v3, v2) = v1) | ~ (lazy_and1(v3, v2) = v0))
% 73.66/10.78 | (50) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 73.66/10.78 | (v1 = v0 | ~ (f2(v4, v3, v2) = v1) | ~ (f2(v4, v3, v2) = v0))
% 73.66/10.78 | (51) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 73.66/10.78 | (v1 = v0 | ~ (f3(v4, v3, v2) = v1) | ~ (f3(v4, v3, v2) = v0))
% 73.66/10.78 |
% 73.66/10.78 | DELTA: instantiating (not1_not2) with fresh symbols all_42_0, all_42_1,
% 73.66/10.78 | all_42_2 gives:
% 73.66/10.78 | (52) ~ (all_42_0 = all_42_1) & not2(all_42_2) = all_42_0 & not1(all_42_2)
% 73.66/10.78 | = all_42_1 & $i(all_42_0) & $i(all_42_1) & $i(all_42_2)
% 73.66/10.78 |
% 73.66/10.78 | ALPHA: (52) implies:
% 73.66/10.78 | (53) ~ (all_42_0 = all_42_1)
% 73.66/10.78 | (54) $i(all_42_2)
% 73.66/10.78 | (55) not1(all_42_2) = all_42_1
% 73.66/10.78 | (56) not2(all_42_2) = all_42_0
% 73.66/10.78 |
% 73.66/10.78 | DELTA: instantiating (31) with fresh symbols all_44_0, all_44_1 gives:
% 73.66/10.78 | (57) f7(all_44_1) = all_44_0 & phi(all_44_0) = false2 & $i(all_44_0) &
% 73.66/10.78 | $i(all_44_1) & ! [v0: $i] : ! [v1: $i] : ( ~ (f7(v0) = v1) | ~
% 73.66/10.78 | $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & forallprefers(v1, all_44_0) =
% 73.66/10.78 | v2))
% 73.66/10.78 |
% 73.66/10.78 | ALPHA: (57) implies:
% 73.66/10.78 | (58) $i(all_44_1)
% 73.66/10.78 | (59) $i(all_44_0)
% 73.66/10.78 | (60) phi(all_44_0) = false2
% 73.66/10.78 | (61) f7(all_44_1) = all_44_0
% 73.66/10.78 | (62) ! [v0: $i] : ! [v1: $i] : ( ~ (f7(v0) = v1) | ~ $i(v0) | ? [v2:
% 73.66/10.78 | int] : ( ~ (v2 = 0) & forallprefers(v1, all_44_0) = v2))
% 73.66/10.78 |
% 73.66/10.78 | GROUND_INST: instantiating (12) with false, 0, simplifying with (6), (35)
% 73.66/10.78 | gives:
% 73.66/10.78 | (63) phi(false) = false
% 73.66/10.78 |
% 73.66/10.78 | GROUND_INST: instantiating (12) with true, 0, simplifying with (7), (36)
% 73.66/10.78 | gives:
% 73.66/10.78 | (64) phi(true) = true
% 73.66/10.78 |
% 73.66/10.78 | GROUND_INST: instantiating (12) with err, 0, simplifying with (8), (11) gives:
% 73.66/10.78 | (65) phi(err) = err
% 73.66/10.78 |
% 73.66/10.79 | GROUND_INST: instantiating (32) with all_44_0, false2, simplifying with (59),
% 73.66/10.79 | (60) gives:
% 73.66/10.79 | (66) ? [v0: any] : ? [v1: $i] : (not1(all_44_0) = v1 & bool(all_44_0) =
% 73.66/10.79 | v0 & $i(v1) & (v1 = false2 | v0 = 0))
% 73.66/10.79 |
% 73.66/10.79 | GROUND_INST: instantiating (13) with all_44_0, false2, simplifying with (59),
% 73.66/10.79 | (60) gives:
% 73.66/10.79 | (67) ? [v0: any] : (d(all_44_0) = v0 & ((v0 = 0 & all_44_0 = false2) |
% 73.66/10.79 | (false2 = err & ~ (v0 = 0))))
% 73.66/10.79 |
% 73.66/10.79 | GROUND_INST: instantiating (26) with all_44_0, false2, simplifying with (59),
% 73.66/10.79 | (60) gives:
% 73.66/10.79 | (68) lazy_and1(true, all_44_0) = false2 & $i(false2)
% 73.66/10.79 |
% 73.66/10.79 | ALPHA: (68) implies:
% 73.66/10.79 | (69) lazy_and1(true, all_44_0) = false2
% 73.66/10.79 |
% 73.66/10.79 | GROUND_INST: instantiating (23) with all_44_0, false2, simplifying with (59),
% 73.66/10.79 | (60) gives:
% 73.66/10.79 | (70) lazy_impl(true, all_44_0) = false2 & $i(false2)
% 73.66/10.79 |
% 73.66/10.79 | ALPHA: (70) implies:
% 73.66/10.79 | (71) $i(false2)
% 73.66/10.79 | (72) lazy_impl(true, all_44_0) = false2
% 73.66/10.79 |
% 73.66/10.79 | GROUND_INST: instantiating (30) with all_44_1, all_44_0, simplifying with
% 73.66/10.79 | (58), (61) gives:
% 73.66/10.79 | (73) ? [v0: $i] : (lazy_impl(v0, all_44_1) = all_44_0 & prop(all_44_1) =
% 73.66/10.79 | v0 & $i(v0) & $i(all_44_0))
% 73.66/10.79 |
% 73.66/10.79 | GROUND_INST: instantiating (33) with false, true, simplifying with (34), (35)
% 73.66/10.79 | gives:
% 73.66/10.79 | (74) ? [v0: any] : ? [v1: $i] : (phi(false) = v1 & bool(false) = v0 &
% 73.66/10.79 | $i(v1) & (v1 = true | v0 = 0))
% 73.66/10.79 |
% 73.66/10.79 | GROUND_INST: instantiating (33) with true, false, simplifying with (36), (37)
% 73.66/10.79 | gives:
% 73.66/10.79 | (75) ? [v0: any] : ? [v1: $i] : (phi(true) = v1 & bool(true) = v0 &
% 73.66/10.79 | $i(v1) & (v1 = false | v0 = 0))
% 73.66/10.79 |
% 73.66/10.79 | GROUND_INST: instantiating (33) with all_42_2, all_42_1, simplifying with
% 73.66/10.79 | (54), (55) gives:
% 73.66/10.79 | (76) ? [v0: any] : ? [v1: $i] : (phi(all_42_2) = v1 & bool(all_42_2) = v0
% 73.66/10.79 | & $i(v1) & (v1 = all_42_1 | v0 = 0))
% 73.66/10.79 |
% 73.66/10.79 | GROUND_INST: instantiating (39) with all_42_2, all_42_0, simplifying with
% 73.66/10.79 | (54), (56) gives:
% 73.66/10.79 | (77) impl(all_42_2, false2) = all_42_0 & $i(all_42_0)
% 73.66/10.79 |
% 73.66/10.79 | ALPHA: (77) implies:
% 73.66/10.79 | (78) $i(all_42_0)
% 73.66/10.79 | (79) impl(all_42_2, false2) = all_42_0
% 73.66/10.79 |
% 73.66/10.79 | DELTA: instantiating (73) with fresh symbol all_55_0 gives:
% 73.66/10.79 | (80) lazy_impl(all_55_0, all_44_1) = all_44_0 & prop(all_44_1) = all_55_0 &
% 73.66/10.79 | $i(all_55_0) & $i(all_44_0)
% 73.66/10.79 |
% 73.66/10.79 | ALPHA: (80) implies:
% 73.66/10.79 | (81) $i(all_55_0)
% 73.66/10.79 | (82) prop(all_44_1) = all_55_0
% 73.66/10.79 | (83) lazy_impl(all_55_0, all_44_1) = all_44_0
% 73.66/10.79 |
% 73.66/10.79 | DELTA: instantiating (66) with fresh symbols all_57_0, all_57_1 gives:
% 73.66/10.79 | (84) not1(all_44_0) = all_57_0 & bool(all_44_0) = all_57_1 & $i(all_57_0) &
% 73.66/10.79 | (all_57_0 = false2 | all_57_1 = 0)
% 73.66/10.79 |
% 73.66/10.79 | ALPHA: (84) implies:
% 73.66/10.79 | (85) bool(all_44_0) = all_57_1
% 73.66/10.79 | (86) not1(all_44_0) = all_57_0
% 73.66/10.79 | (87) all_57_0 = false2 | all_57_1 = 0
% 73.66/10.79 |
% 73.66/10.79 | DELTA: instantiating (76) with fresh symbols all_59_0, all_59_1 gives:
% 73.66/10.79 | (88) phi(all_42_2) = all_59_0 & bool(all_42_2) = all_59_1 & $i(all_59_0) &
% 73.66/10.79 | (all_59_0 = all_42_1 | all_59_1 = 0)
% 73.66/10.79 |
% 73.66/10.79 | ALPHA: (88) implies:
% 73.66/10.79 | (89) bool(all_42_2) = all_59_1
% 73.66/10.79 | (90) phi(all_42_2) = all_59_0
% 73.66/10.79 | (91) all_59_0 = all_42_1 | all_59_1 = 0
% 73.66/10.79 |
% 73.66/10.79 | DELTA: instantiating (75) with fresh symbols all_61_0, all_61_1 gives:
% 73.66/10.80 | (92) phi(true) = all_61_0 & bool(true) = all_61_1 & $i(all_61_0) &
% 73.66/10.80 | (all_61_0 = false | all_61_1 = 0)
% 73.66/10.80 |
% 73.66/10.80 | ALPHA: (92) implies:
% 73.66/10.80 | (93) $i(all_61_0)
% 73.66/10.80 | (94) bool(true) = all_61_1
% 73.66/10.80 | (95) phi(true) = all_61_0
% 73.66/10.80 |
% 73.66/10.80 | DELTA: instantiating (67) with fresh symbol all_63_0 gives:
% 73.66/10.80 | (96) d(all_44_0) = all_63_0 & ((all_63_0 = 0 & all_44_0 = false2) | (false2
% 73.66/10.80 | = err & ~ (all_63_0 = 0)))
% 73.66/10.80 |
% 73.66/10.80 | ALPHA: (96) implies:
% 73.66/10.80 | (97) d(all_44_0) = all_63_0
% 73.66/10.80 | (98) (all_63_0 = 0 & all_44_0 = false2) | (false2 = err & ~ (all_63_0 =
% 73.66/10.80 | 0))
% 73.66/10.80 |
% 73.66/10.80 | DELTA: instantiating (74) with fresh symbols all_65_0, all_65_1 gives:
% 73.66/10.80 | (99) phi(false) = all_65_0 & bool(false) = all_65_1 & $i(all_65_0) &
% 73.66/10.80 | (all_65_0 = true | all_65_1 = 0)
% 73.66/10.80 |
% 73.66/10.80 | ALPHA: (99) implies:
% 73.66/10.80 | (100) $i(all_65_0)
% 73.66/10.80 | (101) bool(false) = all_65_1
% 73.66/10.80 | (102) phi(false) = all_65_0
% 73.66/10.80 |
% 73.66/10.80 | GROUND_INST: instantiating (1) with all_65_1, simplifying with (101) gives:
% 73.66/10.80 | (103) all_65_1 = 0
% 73.66/10.80 |
% 73.66/10.80 | GROUND_INST: instantiating (2) with all_61_1, simplifying with (94) gives:
% 73.66/10.80 | (104) all_61_1 = 0
% 73.66/10.80 |
% 73.66/10.80 | GROUND_INST: instantiating (42) with false, all_65_0, false, simplifying with
% 73.66/10.80 | (63), (102) gives:
% 73.66/10.80 | (105) all_65_0 = false
% 73.66/10.80 |
% 73.66/10.80 | GROUND_INST: instantiating (42) with true, all_61_0, true, simplifying with
% 73.66/10.80 | (64), (95) gives:
% 73.66/10.80 | (106) all_61_0 = true
% 73.66/10.80 |
% 73.66/10.80 | REDUCE: (94), (104) imply:
% 73.66/10.80 | (107) bool(true) = 0
% 73.66/10.80 |
% 73.66/10.80 | REDUCE: (101), (103) imply:
% 73.66/10.80 | (108) bool(false) = 0
% 73.66/10.80 |
% 73.66/10.80 | GROUND_INST: instantiating (21) with false, simplifying with (35), (108)
% 73.66/10.80 | gives:
% 73.66/10.80 | (109) impl(true, false) = false
% 73.66/10.80 |
% 73.66/10.80 | GROUND_INST: instantiating (20) with false, simplifying with (35), (108)
% 73.66/10.80 | gives:
% 73.66/10.80 | (110) impl(false, false) = true
% 73.66/10.80 |
% 73.66/10.80 | GROUND_INST: instantiating (14) with false, simplifying with (35), (108)
% 73.66/10.80 | gives:
% 73.66/10.80 | (111) prop(false) = true
% 73.66/10.80 |
% 73.66/10.80 | GROUND_INST: instantiating (17) with false, simplifying with (35), (108)
% 73.66/10.80 | gives:
% 73.66/10.80 | (112) ? [v0: $i] : ( ~ (v0 = false) & prop(false) = v0 & $i(v0))
% 73.66/10.80 |
% 73.66/10.80 | GROUND_INST: instantiating (21) with true, simplifying with (36), (107) gives:
% 73.66/10.80 | (113) impl(true, true) = true
% 73.66/10.80 |
% 73.66/10.80 | GROUND_INST: instantiating (20) with true, simplifying with (36), (107) gives:
% 73.66/10.80 | (114) impl(false, true) = true
% 73.66/10.80 |
% 73.66/10.80 | GROUND_INST: instantiating (14) with true, simplifying with (36), (107) gives:
% 73.66/10.80 | (115) prop(true) = true
% 73.66/10.80 |
% 73.66/10.80 | GROUND_INST: instantiating (17) with true, simplifying with (36), (107) gives:
% 73.66/10.80 | (116) ? [v0: $i] : ( ~ (v0 = false) & prop(true) = v0 & $i(v0))
% 73.66/10.80 |
% 73.66/10.80 | GROUND_INST: instantiating (18) with all_44_0, all_57_1, simplifying with
% 73.66/10.80 | (59), (85) gives:
% 73.66/10.80 | (117) all_57_1 = 0 | prop(all_44_0) = false
% 73.66/10.80 |
% 73.66/10.80 | GROUND_INST: instantiating (15) with all_44_0, all_57_1, simplifying with
% 73.66/10.80 | (59), (85) gives:
% 73.66/10.80 | (118) all_57_1 = 0 | ? [v0: $i] : ( ~ (v0 = true) & prop(all_44_0) = v0 &
% 73.66/10.80 | $i(v0))
% 73.66/10.80 |
% 73.66/10.80 | GROUND_INST: instantiating (12) with all_44_0, all_63_0, simplifying with
% 73.66/10.80 | (59), (97) gives:
% 73.66/10.80 | (119) ? [v0: $i] : (phi(all_44_0) = v0 & $i(v0) & ((v0 = all_44_0 &
% 73.66/10.80 | all_63_0 = 0) | (v0 = err & ~ (all_63_0 = 0))))
% 73.66/10.80 |
% 73.66/10.80 | GROUND_INST: instantiating (23) with false, false, simplifying with (35), (63)
% 73.66/10.80 | gives:
% 73.66/10.81 | (120) lazy_impl(true, false) = false
% 73.66/10.81 |
% 73.66/10.81 | GROUND_INST: instantiating (26) with true, true, simplifying with (36), (64)
% 73.66/10.81 | gives:
% 73.66/10.81 | (121) lazy_and1(true, true) = true
% 73.66/10.81 |
% 73.66/10.81 | GROUND_INST: instantiating (23) with true, true, simplifying with (36), (64)
% 73.66/10.81 | gives:
% 73.66/10.81 | (122) lazy_impl(true, true) = true
% 73.66/10.81 |
% 73.66/10.81 | GROUND_INST: instantiating (32) with err, err, simplifying with (11), (65)
% 73.66/10.81 | gives:
% 73.66/10.81 | (123) ? [v0: any] : ? [v1: $i] : (not1(err) = v1 & bool(err) = v0 &
% 73.66/10.81 | $i(v1) & (v1 = err | v0 = 0))
% 73.66/10.81 |
% 73.66/10.81 | GROUND_INST: instantiating (26) with err, err, simplifying with (11), (65)
% 73.66/10.81 | gives:
% 73.66/10.81 | (124) lazy_and1(true, err) = err
% 73.66/10.81 |
% 73.66/10.81 | GROUND_INST: instantiating (23) with err, err, simplifying with (11), (65)
% 73.66/10.81 | gives:
% 73.66/10.81 | (125) lazy_impl(true, err) = err
% 73.66/10.81 |
% 73.66/10.81 | GROUND_INST: instantiating (32) with all_42_2, all_59_0, simplifying with
% 73.66/10.81 | (54), (90) gives:
% 73.66/10.81 | (126) ? [v0: any] : ? [v1: $i] : (not1(all_42_2) = v1 & bool(all_42_2) =
% 73.66/10.81 | v0 & $i(v1) & (v1 = all_59_0 | v0 = 0))
% 73.66/10.81 |
% 73.66/10.81 | GROUND_INST: instantiating (13) with all_42_2, all_59_0, simplifying with
% 73.66/10.81 | (54), (90) gives:
% 73.66/10.81 | (127) ? [v0: any] : (d(all_42_2) = v0 & ((v0 = 0 & all_59_0 = all_42_2) |
% 73.66/10.81 | (all_59_0 = err & ~ (v0 = 0))))
% 73.66/10.81 |
% 73.66/10.81 | GROUND_INST: instantiating (23) with all_42_2, all_59_0, simplifying with
% 73.66/10.81 | (54), (90) gives:
% 73.66/10.81 | (128) lazy_impl(true, all_42_2) = all_59_0 & $i(all_59_0)
% 73.66/10.81 |
% 73.66/10.81 | ALPHA: (128) implies:
% 73.66/10.81 | (129) lazy_impl(true, all_42_2) = all_59_0
% 73.66/10.81 |
% 73.66/10.81 | GROUND_INST: instantiating (16) with all_44_1, all_55_0, simplifying with
% 73.66/10.81 | (58), (82) gives:
% 73.66/10.81 | (130) all_55_0 = true | ? [v0: int] : ( ~ (v0 = 0) & bool(all_44_1) = v0)
% 73.66/10.81 |
% 73.66/10.81 | GROUND_INST: instantiating (19) with all_44_1, all_55_0, simplifying with
% 73.66/10.81 | (58), (82) gives:
% 73.66/10.81 | (131) all_55_0 = false | bool(all_44_1) = 0
% 73.66/10.81 |
% 73.66/10.81 | GROUND_INST: instantiating (impl_axiom2) with all_42_2, false2, all_42_0,
% 73.66/10.81 | simplifying with (54), (71), (79) gives:
% 73.66/10.81 | (132) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (phi(false2) = v2 &
% 73.66/10.81 | bool(all_42_2) = v0 & bool(false2) = v1 & $i(v2) & ( ~ (v0 = 0) |
% 73.66/10.81 | v2 = all_42_0 | v1 = 0))
% 73.66/10.81 |
% 73.66/10.81 | GROUND_INST: instantiating (impl_axiom1) with all_42_2, false2, all_42_0,
% 73.66/10.81 | simplifying with (54), (71), (79) gives:
% 73.66/10.82 | (133) ? [v0: any] : ? [v1: $i] : (phi(all_42_2) = v1 & bool(all_42_2) =
% 73.66/10.82 | v0 & $i(v1) & (v1 = all_42_0 | v0 = 0))
% 73.66/10.82 |
% 73.66/10.82 | GROUND_INST: instantiating (lazy_impl_axiom1) with all_55_0, all_44_1,
% 73.66/10.82 | all_44_0, simplifying with (58), (81), (83) gives:
% 73.66/10.82 | (134) ? [v0: any] : ? [v1: $i] : (phi(all_55_0) = v1 & bool(all_55_0) =
% 73.66/10.82 | v0 & $i(v1) & (v1 = all_44_0 | v0 = 0))
% 73.66/10.82 |
% 73.66/10.82 | GROUND_INST: instantiating (33) with all_44_0, all_57_0, simplifying with
% 73.66/10.82 | (59), (86) gives:
% 73.66/10.82 | (135) ? [v0: any] : ? [v1: $i] : (phi(all_44_0) = v1 & bool(all_44_0) =
% 73.66/10.82 | v0 & $i(v1) & (v1 = all_57_0 | v0 = 0))
% 73.66/10.82 |
% 73.66/10.82 | DELTA: instantiating (112) with fresh symbol all_77_0 gives:
% 73.66/10.82 | (136) ~ (all_77_0 = false) & prop(false) = all_77_0 & $i(all_77_0)
% 73.66/10.82 |
% 73.66/10.82 | ALPHA: (136) implies:
% 73.66/10.82 | (137) ~ (all_77_0 = false)
% 73.66/10.82 | (138) $i(all_77_0)
% 73.66/10.82 | (139) prop(false) = all_77_0
% 73.66/10.82 |
% 73.66/10.82 | DELTA: instantiating (116) with fresh symbol all_79_0 gives:
% 73.66/10.82 | (140) ~ (all_79_0 = false) & prop(true) = all_79_0 & $i(all_79_0)
% 73.66/10.82 |
% 73.66/10.82 | ALPHA: (140) implies:
% 73.66/10.82 | (141) prop(true) = all_79_0
% 73.66/10.82 |
% 73.66/10.82 | DELTA: instantiating (127) with fresh symbol all_81_0 gives:
% 73.66/10.82 | (142) d(all_42_2) = all_81_0 & ((all_81_0 = 0 & all_59_0 = all_42_2) |
% 73.66/10.82 | (all_59_0 = err & ~ (all_81_0 = 0)))
% 73.66/10.82 |
% 73.66/10.82 | ALPHA: (142) implies:
% 73.66/10.82 | (143) d(all_42_2) = all_81_0
% 73.66/10.82 | (144) (all_81_0 = 0 & all_59_0 = all_42_2) | (all_59_0 = err & ~ (all_81_0
% 73.66/10.82 | = 0))
% 73.66/10.82 |
% 73.66/10.82 | DELTA: instantiating (126) with fresh symbols all_83_0, all_83_1 gives:
% 73.66/10.82 | (145) not1(all_42_2) = all_83_0 & bool(all_42_2) = all_83_1 & $i(all_83_0)
% 73.66/10.82 | & (all_83_0 = all_59_0 | all_83_1 = 0)
% 73.66/10.82 |
% 73.66/10.82 | ALPHA: (145) implies:
% 73.66/10.82 | (146) bool(all_42_2) = all_83_1
% 73.66/10.82 | (147) not1(all_42_2) = all_83_0
% 73.66/10.82 |
% 73.66/10.82 | DELTA: instantiating (135) with fresh symbols all_85_0, all_85_1 gives:
% 73.66/10.82 | (148) phi(all_44_0) = all_85_0 & bool(all_44_0) = all_85_1 & $i(all_85_0) &
% 73.66/10.82 | (all_85_0 = all_57_0 | all_85_1 = 0)
% 73.66/10.82 |
% 73.66/10.82 | ALPHA: (148) implies:
% 73.66/10.82 | (149) $i(all_85_0)
% 73.66/10.82 | (150) bool(all_44_0) = all_85_1
% 73.66/10.82 | (151) phi(all_44_0) = all_85_0
% 73.66/10.82 |
% 73.66/10.82 | DELTA: instantiating (134) with fresh symbols all_87_0, all_87_1 gives:
% 73.66/10.82 | (152) phi(all_55_0) = all_87_0 & bool(all_55_0) = all_87_1 & $i(all_87_0) &
% 73.66/10.82 | (all_87_0 = all_44_0 | all_87_1 = 0)
% 73.66/10.82 |
% 73.66/10.82 | ALPHA: (152) implies:
% 73.66/10.82 | (153) bool(all_55_0) = all_87_1
% 73.66/10.82 | (154) phi(all_55_0) = all_87_0
% 73.66/10.82 |
% 73.66/10.82 | DELTA: instantiating (133) with fresh symbols all_89_0, all_89_1 gives:
% 73.66/10.82 | (155) phi(all_42_2) = all_89_0 & bool(all_42_2) = all_89_1 & $i(all_89_0) &
% 73.66/10.82 | (all_89_0 = all_42_0 | all_89_1 = 0)
% 73.66/10.82 |
% 73.66/10.82 | ALPHA: (155) implies:
% 73.66/10.82 | (156) bool(all_42_2) = all_89_1
% 73.66/10.82 | (157) phi(all_42_2) = all_89_0
% 73.66/10.82 | (158) all_89_0 = all_42_0 | all_89_1 = 0
% 73.66/10.82 |
% 73.66/10.82 | DELTA: instantiating (123) with fresh symbols all_91_0, all_91_1 gives:
% 73.66/10.82 | (159) not1(err) = all_91_0 & bool(err) = all_91_1 & $i(all_91_0) &
% 73.66/10.82 | (all_91_0 = err | all_91_1 = 0)
% 73.66/10.82 |
% 73.66/10.82 | ALPHA: (159) implies:
% 73.66/10.82 | (160) bool(err) = all_91_1
% 73.66/10.82 | (161) not1(err) = all_91_0
% 73.66/10.82 | (162) all_91_0 = err | all_91_1 = 0
% 73.66/10.82 |
% 73.66/10.82 | DELTA: instantiating (119) with fresh symbol all_93_0 gives:
% 73.66/10.82 | (163) phi(all_44_0) = all_93_0 & $i(all_93_0) & ((all_93_0 = all_44_0 &
% 73.66/10.82 | all_63_0 = 0) | (all_93_0 = err & ~ (all_63_0 = 0)))
% 73.66/10.82 |
% 73.66/10.82 | ALPHA: (163) implies:
% 73.66/10.82 | (164) phi(all_44_0) = all_93_0
% 73.66/10.82 |
% 73.66/10.82 | DELTA: instantiating (132) with fresh symbols all_95_0, all_95_1, all_95_2
% 73.66/10.82 | gives:
% 73.66/10.82 | (165) phi(false2) = all_95_0 & bool(all_42_2) = all_95_2 & bool(false2) =
% 73.66/10.82 | all_95_1 & $i(all_95_0) & ( ~ (all_95_2 = 0) | all_95_0 = all_42_0 |
% 73.66/10.82 | all_95_1 = 0)
% 73.66/10.82 |
% 73.66/10.82 | ALPHA: (165) implies:
% 73.66/10.83 | (166) bool(false2) = all_95_1
% 73.66/10.83 | (167) bool(all_42_2) = all_95_2
% 73.66/10.83 | (168) phi(false2) = all_95_0
% 73.66/10.83 | (169) ~ (all_95_2 = 0) | all_95_0 = all_42_0 | all_95_1 = 0
% 73.66/10.83 |
% 73.66/10.83 | GROUND_INST: instantiating (40) with all_59_1, all_89_1, all_42_2, simplifying
% 73.66/10.83 | with (89), (156) gives:
% 73.66/10.83 | (170) all_89_1 = all_59_1
% 73.66/10.83 |
% 73.66/10.83 | GROUND_INST: instantiating (40) with all_89_1, all_95_2, all_42_2, simplifying
% 73.66/10.83 | with (156), (167) gives:
% 73.66/10.83 | (171) all_95_2 = all_89_1
% 73.66/10.83 |
% 73.66/10.83 | GROUND_INST: instantiating (40) with all_83_1, all_95_2, all_42_2, simplifying
% 73.66/10.83 | with (146), (167) gives:
% 73.66/10.83 | (172) all_95_2 = all_83_1
% 73.66/10.83 |
% 73.66/10.83 | GROUND_INST: instantiating (40) with all_57_1, all_85_1, all_44_0, simplifying
% 73.66/10.83 | with (85), (150) gives:
% 73.66/10.83 | (173) all_85_1 = all_57_1
% 73.66/10.83 |
% 73.66/10.83 | GROUND_INST: instantiating (42) with all_59_0, all_89_0, all_42_2, simplifying
% 73.66/10.83 | with (90), (157) gives:
% 73.66/10.83 | (174) all_89_0 = all_59_0
% 73.66/10.83 |
% 73.66/10.83 | GROUND_INST: instantiating (42) with false2, all_93_0, all_44_0, simplifying
% 73.66/10.83 | with (60), (164) gives:
% 73.66/10.83 | (175) all_93_0 = false2
% 73.66/10.83 |
% 73.66/10.83 | GROUND_INST: instantiating (42) with all_85_0, all_93_0, all_44_0, simplifying
% 73.66/10.83 | with (151), (164) gives:
% 73.66/10.83 | (176) all_93_0 = all_85_0
% 73.66/10.83 |
% 73.66/10.83 | GROUND_INST: instantiating (43) with true, all_77_0, false, simplifying with
% 73.66/10.83 | (111), (139) gives:
% 73.66/10.83 | (177) all_77_0 = true
% 73.66/10.83 |
% 73.66/10.83 | GROUND_INST: instantiating (43) with true, all_79_0, true, simplifying with
% 73.66/10.83 | (115), (141) gives:
% 73.66/10.83 | (178) all_79_0 = true
% 73.66/10.83 |
% 73.66/10.83 | GROUND_INST: instantiating (45) with all_42_1, all_83_0, all_42_2, simplifying
% 73.66/10.83 | with (55), (147) gives:
% 73.66/10.83 | (179) all_83_0 = all_42_1
% 73.66/10.83 |
% 73.66/10.83 | COMBINE_EQS: (171), (172) imply:
% 73.66/10.83 | (180) all_89_1 = all_83_1
% 73.66/10.83 |
% 73.66/10.83 | SIMP: (180) implies:
% 73.66/10.83 | (181) all_89_1 = all_83_1
% 73.66/10.83 |
% 73.66/10.83 | COMBINE_EQS: (175), (176) imply:
% 73.66/10.83 | (182) all_85_0 = false2
% 73.66/10.83 |
% 73.66/10.83 | COMBINE_EQS: (170), (181) imply:
% 73.66/10.83 | (183) all_83_1 = all_59_1
% 73.66/10.83 |
% 73.66/10.83 | COMBINE_EQS: (172), (183) imply:
% 73.66/10.83 | (184) all_95_2 = all_59_1
% 73.66/10.83 |
% 73.66/10.83 | REDUCE: (137), (177) imply:
% 73.66/10.83 | (185) ~ (true = false)
% 73.66/10.83 |
% 73.66/10.83 | GROUND_INST: instantiating (18) with false2, all_95_1, simplifying with (71),
% 73.66/10.83 | (166) gives:
% 73.66/10.83 | (186) all_95_1 = 0 | prop(false2) = false
% 73.66/10.83 |
% 73.66/10.83 | GROUND_INST: instantiating (18) with all_55_0, all_87_1, simplifying with
% 73.66/10.83 | (81), (153) gives:
% 73.66/10.83 | (187) all_87_1 = 0 | prop(all_55_0) = false
% 73.66/10.83 |
% 73.66/10.83 | GROUND_INST: instantiating (12) with all_42_2, all_81_0, simplifying with
% 73.66/10.83 | (54), (143) gives:
% 73.66/10.83 | (188) ? [v0: $i] : (phi(all_42_2) = v0 & $i(v0) & ((v0 = all_42_2 &
% 73.66/10.83 | all_81_0 = 0) | (v0 = err & ~ (all_81_0 = 0))))
% 73.66/10.83 |
% 73.66/10.83 | GROUND_INST: instantiating (32) with false2, all_95_0, simplifying with (71),
% 73.66/10.83 | (168) gives:
% 73.66/10.83 | (189) ? [v0: any] : ? [v1: $i] : (not1(false2) = v1 & bool(false2) = v0 &
% 73.66/10.83 | $i(v1) & (v1 = all_95_0 | v0 = 0))
% 73.66/10.83 |
% 73.66/10.83 | GROUND_INST: instantiating (13) with false2, all_95_0, simplifying with (71),
% 73.66/10.83 | (168) gives:
% 73.66/10.83 | (190) ? [v0: any] : (d(false2) = v0 & ((v0 = 0 & all_95_0 = false2) |
% 73.66/10.83 | (all_95_0 = err & ~ (v0 = 0))))
% 73.66/10.83 |
% 73.66/10.83 | GROUND_INST: instantiating (26) with false2, all_95_0, simplifying with (71),
% 73.66/10.83 | (168) gives:
% 73.66/10.83 | (191) lazy_and1(true, false2) = all_95_0 & $i(all_95_0)
% 73.66/10.83 |
% 73.66/10.83 | ALPHA: (191) implies:
% 73.66/10.83 | (192) lazy_and1(true, false2) = all_95_0
% 73.66/10.83 |
% 73.66/10.83 | GROUND_INST: instantiating (23) with false2, all_95_0, simplifying with (71),
% 73.66/10.83 | (168) gives:
% 73.66/10.83 | (193) lazy_impl(true, false2) = all_95_0 & $i(all_95_0)
% 73.66/10.83 |
% 73.66/10.83 | ALPHA: (193) implies:
% 73.66/10.83 | (194) lazy_impl(true, false2) = all_95_0
% 73.66/10.83 |
% 73.66/10.83 | GROUND_INST: instantiating (32) with all_55_0, all_87_0, simplifying with
% 73.66/10.83 | (81), (154) gives:
% 73.66/10.83 | (195) ? [v0: any] : ? [v1: $i] : (not1(all_55_0) = v1 & bool(all_55_0) =
% 73.66/10.83 | v0 & $i(v1) & (v1 = all_87_0 | v0 = 0))
% 73.66/10.83 |
% 73.66/10.84 | GROUND_INST: instantiating (13) with all_55_0, all_87_0, simplifying with
% 73.66/10.84 | (81), (154) gives:
% 73.66/10.84 | (196) ? [v0: any] : (d(all_55_0) = v0 & ((v0 = 0 & all_87_0 = all_55_0) |
% 73.66/10.84 | (all_87_0 = err & ~ (v0 = 0))))
% 73.66/10.84 |
% 73.66/10.84 | GROUND_INST: instantiating (26) with all_55_0, all_87_0, simplifying with
% 73.66/10.84 | (81), (154) gives:
% 73.66/10.84 | (197) lazy_and1(true, all_55_0) = all_87_0 & $i(all_87_0)
% 73.66/10.84 |
% 73.66/10.84 | ALPHA: (197) implies:
% 73.66/10.84 | (198) lazy_and1(true, all_55_0) = all_87_0
% 73.66/10.84 |
% 73.66/10.84 | GROUND_INST: instantiating (23) with all_55_0, all_87_0, simplifying with
% 73.66/10.84 | (81), (154) gives:
% 73.66/10.84 | (199) lazy_impl(true, all_55_0) = all_87_0 & $i(all_87_0)
% 73.66/10.84 |
% 73.66/10.84 | ALPHA: (199) implies:
% 73.66/10.84 | (200) lazy_impl(true, all_55_0) = all_87_0
% 73.66/10.84 |
% 73.66/10.84 | GROUND_INST: instantiating (29) with false, true, simplifying with (35), (111)
% 73.66/10.84 | gives:
% 73.66/10.84 | (201) ? [v0: $i] : (f7(false) = v0 & lazy_impl(true, false) = v0 & $i(v0))
% 73.66/10.84 |
% 73.66/10.84 | GROUND_INST: instantiating (29) with true, true, simplifying with (36), (115)
% 73.66/10.84 | gives:
% 73.66/10.84 | (202) ? [v0: $i] : (f7(true) = v0 & lazy_impl(true, true) = v0 & $i(v0))
% 73.66/10.84 |
% 73.66/10.84 | GROUND_INST: instantiating (25) with false, false, true, true, true,
% 73.66/10.84 | simplifying with (35), (36), (114) gives:
% 73.66/10.84 | (203) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(false, false, true) =
% 73.66/10.84 | v0 & lazy_impl(v1, v2) = v0 & impl(true, true) = v2 & prop(true) =
% 73.66/10.84 | v1 & $i(v2) & $i(v1) & $i(v0))
% 73.66/10.84 |
% 73.66/10.84 | GROUND_INST: instantiating (25) with false, false, false, true, true,
% 73.66/10.84 | simplifying with (35), (110), (114) gives:
% 73.66/10.84 | (204) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(false, false, false) =
% 73.66/10.84 | v0 & lazy_impl(v1, v2) = v0 & impl(true, false) = v2 & prop(false)
% 73.66/10.84 | = v1 & $i(v2) & $i(v1) & $i(v0))
% 73.66/10.84 |
% 73.66/10.84 | GROUND_INST: instantiating (28) with false, false, false, true, true, false,
% 73.66/10.84 | false, simplifying with (35), (109), (110) gives:
% 73.66/10.84 | (205) ? [v0: $i] : ? [v1: $i] : (f3(false, false, false) = v0 &
% 73.66/10.84 | lazy_impl(v1, false) = v0 & prop(false) = v1 & $i(v1) & $i(v0))
% 73.66/10.84 |
% 73.66/10.84 | GROUND_INST: instantiating (25) with true, true, false, false, false,
% 73.66/10.84 | simplifying with (35), (36), (109) gives:
% 73.66/10.84 | (206) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(true, true, false) = v0
% 73.66/10.84 | & lazy_impl(v1, v2) = v0 & impl(false, false) = v2 & prop(false) =
% 73.66/10.84 | v1 & $i(v2) & $i(v1) & $i(v0))
% 73.66/10.84 |
% 73.66/10.84 | GROUND_INST: instantiating (28) with true, false, false, false, true, false,
% 73.66/10.84 | true, simplifying with (35), (36), (109), (110) gives:
% 73.66/10.84 | (207) ? [v0: $i] : ? [v1: $i] : (f3(true, false, false) = v0 &
% 73.66/10.84 | lazy_impl(v1, true) = v0 & prop(false) = v1 & $i(v1) & $i(v0))
% 73.66/10.84 |
% 73.66/10.84 | GROUND_INST: instantiating (25) with false, true, false, false, true,
% 73.66/10.84 | simplifying with (35), (36), (109), (110) gives:
% 73.66/10.84 | (208) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(false, true, false) =
% 73.66/10.84 | v0 & lazy_impl(v1, v2) = v0 & impl(true, false) = v2 & prop(false)
% 73.66/10.84 | = v1 & $i(v2) & $i(v1) & $i(v0))
% 73.66/10.84 |
% 73.66/10.84 | GROUND_INST: instantiating (28) with true, true, false, false, false, true,
% 73.66/10.84 | true, simplifying with (35), (36), (109), (110), (114) gives:
% 73.66/10.84 | (209) ? [v0: $i] : ? [v1: $i] : (f3(true, true, false) = v0 &
% 73.66/10.84 | lazy_impl(v1, true) = v0 & prop(false) = v1 & $i(v1) & $i(v0))
% 73.66/10.84 |
% 73.66/10.84 | GROUND_INST: instantiating (28) with true, true, true, true, true, true, true,
% 73.66/10.84 | simplifying with (36), (113) gives:
% 73.66/10.84 | (210) ? [v0: $i] : ? [v1: $i] : (f3(true, true, true) = v0 &
% 73.66/10.84 | lazy_impl(v1, true) = v0 & prop(true) = v1 & $i(v1) & $i(v0))
% 73.66/10.84 |
% 73.66/10.84 | GROUND_INST: instantiating (28) with false, true, true, true, true, true,
% 73.66/10.84 | true, simplifying with (35), (36), (113), (114) gives:
% 73.66/10.85 | (211) ? [v0: $i] : ? [v1: $i] : (f3(false, true, true) = v0 &
% 73.66/10.85 | lazy_impl(v1, true) = v0 & prop(true) = v1 & $i(v1) & $i(v0))
% 73.66/10.85 |
% 73.66/10.85 | GROUND_INST: instantiating (28) with true, false, true, true, true, true,
% 73.66/10.85 | true, simplifying with (35), (36), (113), (114) gives:
% 73.66/10.85 | (212) ? [v0: $i] : ? [v1: $i] : (f3(true, false, true) = v0 &
% 73.66/10.85 | lazy_impl(v1, true) = v0 & prop(true) = v1 & $i(v1) & $i(v0))
% 73.66/10.85 |
% 73.66/10.85 | GROUND_INST: instantiating (28) with false, false, true, true, true, true,
% 73.66/10.85 | true, simplifying with (35), (36), (113), (114) gives:
% 73.66/10.85 | (213) ? [v0: $i] : ? [v1: $i] : (f3(false, false, true) = v0 &
% 73.66/10.85 | lazy_impl(v1, true) = v0 & prop(true) = v1 & $i(v1) & $i(v0))
% 73.66/10.85 |
% 73.66/10.85 | GROUND_INST: instantiating (25) with true, true, true, true, true, simplifying
% 73.66/10.85 | with (36), (113) gives:
% 73.66/10.85 | (214) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(true, true, true) = v0
% 73.66/10.85 | & lazy_impl(v1, v2) = v0 & impl(true, true) = v2 & prop(true) = v1
% 73.66/10.85 | & $i(v2) & $i(v1) & $i(v0))
% 73.66/10.85 |
% 73.66/10.85 | GROUND_INST: instantiating (25) with false, true, true, true, true,
% 73.66/10.85 | simplifying with (35), (36), (113), (114) gives:
% 73.66/10.85 | (215) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(false, true, true) = v0
% 73.66/10.85 | & lazy_impl(v1, v2) = v0 & impl(true, true) = v2 & prop(true) = v1
% 73.66/10.85 | & $i(v2) & $i(v1) & $i(v0))
% 73.66/10.85 |
% 73.66/10.85 | GROUND_INST: instantiating (25) with true, false, true, true, true,
% 73.66/10.85 | simplifying with (35), (36), (113), (114) gives:
% 73.66/10.85 | (216) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(true, false, true) = v0
% 73.66/10.85 | & lazy_impl(v1, v2) = v0 & impl(true, true) = v2 & prop(true) = v1
% 73.66/10.85 | & $i(v2) & $i(v1) & $i(v0))
% 73.66/10.85 |
% 73.66/10.85 | GROUND_INST: instantiating (28) with false, true, false, true, false, true,
% 73.66/10.85 | true, simplifying with (35), (36), (109), (110), (113) gives:
% 73.66/10.85 | (217) ? [v0: $i] : ? [v1: $i] : (f3(false, true, false) = v0 &
% 73.66/10.85 | lazy_impl(v1, true) = v0 & prop(false) = v1 & $i(v1) & $i(v0))
% 73.66/10.85 |
% 73.66/10.85 | GROUND_INST: instantiating (25) with true, false, false, true, true,
% 73.66/10.85 | simplifying with (35), (36), (110), (113) gives:
% 73.66/10.85 | (218) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(true, false, false) =
% 73.66/10.85 | v0 & lazy_impl(v1, v2) = v0 & impl(true, false) = v2 & prop(false)
% 73.66/10.85 | = v1 & $i(v2) & $i(v1) & $i(v0))
% 73.66/10.85 |
% 73.66/10.85 | GROUND_INST: instantiating (27) with true, true, false, false, false,
% 73.66/10.85 | simplifying with (35), (36), (109), (120) gives:
% 73.66/10.85 | (219) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true, true, false) = v0
% 73.66/10.85 | & lazy_impl(v1, v2) = v0 & impl(false, false) = v2 & prop(false) =
% 73.66/10.85 | v1 & $i(v2) & $i(v1) & $i(v0))
% 73.66/10.85 |
% 73.66/10.85 | GROUND_INST: instantiating (27) with true, true, true, true, true, simplifying
% 73.66/10.85 | with (36), (113), (122) gives:
% 73.66/10.85 | (220) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true, true, true) = v0
% 73.66/10.85 | & lazy_impl(v1, v2) = v0 & impl(true, true) = v2 & prop(true) = v1
% 73.66/10.85 | & $i(v2) & $i(v1) & $i(v0))
% 73.66/10.85 |
% 73.66/10.85 | GROUND_INST: instantiating (27) with true, false, true, true, true,
% 73.66/10.85 | simplifying with (35), (36), (114), (122) gives:
% 73.66/10.85 | (221) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true, false, true) = v0
% 73.66/10.85 | & lazy_impl(v1, v2) = v0 & impl(true, true) = v2 & prop(true) = v1
% 73.66/10.85 | & $i(v2) & $i(v1) & $i(v0))
% 73.66/10.85 |
% 73.66/10.85 | GROUND_INST: instantiating (27) with true, false, false, true, true,
% 73.66/10.85 | simplifying with (35), (36), (110), (122) gives:
% 73.66/10.85 | (222) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true, false, false) =
% 73.66/10.85 | v0 & lazy_impl(v1, v2) = v0 & impl(true, false) = v2 & prop(false)
% 73.66/10.85 | = v1 & $i(v2) & $i(v1) & $i(v0))
% 73.66/10.85 |
% 73.66/10.85 | GROUND_INST: instantiating (33) with err, all_91_0, simplifying with (11),
% 73.66/10.85 | (161) gives:
% 73.66/10.85 | (223) ? [v0: any] : ? [v1: $i] : (phi(err) = v1 & bool(err) = v0 & $i(v1)
% 73.66/10.85 | & (v1 = all_91_0 | v0 = 0))
% 73.66/10.85 |
% 73.66/10.85 | DELTA: instantiating (202) with fresh symbol all_107_0 gives:
% 73.66/10.85 | (224) f7(true) = all_107_0 & lazy_impl(true, true) = all_107_0 &
% 73.66/10.85 | $i(all_107_0)
% 73.66/10.86 |
% 73.66/10.86 | ALPHA: (224) implies:
% 73.66/10.86 | (225) lazy_impl(true, true) = all_107_0
% 73.66/10.86 | (226) f7(true) = all_107_0
% 73.66/10.86 |
% 73.66/10.86 | DELTA: instantiating (201) with fresh symbol all_109_0 gives:
% 73.66/10.86 | (227) f7(false) = all_109_0 & lazy_impl(true, false) = all_109_0 &
% 73.66/10.86 | $i(all_109_0)
% 73.66/10.86 |
% 73.66/10.86 | ALPHA: (227) implies:
% 73.66/10.86 | (228) lazy_impl(true, false) = all_109_0
% 73.66/10.86 | (229) f7(false) = all_109_0
% 73.66/10.86 |
% 73.66/10.86 | DELTA: instantiating (190) with fresh symbol all_111_0 gives:
% 73.66/10.86 | (230) d(false2) = all_111_0 & ((all_111_0 = 0 & all_95_0 = false2) |
% 73.66/10.86 | (all_95_0 = err & ~ (all_111_0 = 0)))
% 73.66/10.86 |
% 73.66/10.86 | ALPHA: (230) implies:
% 73.66/10.86 | (231) d(false2) = all_111_0
% 73.66/10.86 |
% 73.66/10.86 | DELTA: instantiating (223) with fresh symbols all_113_0, all_113_1 gives:
% 73.66/10.86 | (232) phi(err) = all_113_0 & bool(err) = all_113_1 & $i(all_113_0) &
% 73.66/10.86 | (all_113_0 = all_91_0 | all_113_1 = 0)
% 73.66/10.86 |
% 73.66/10.86 | ALPHA: (232) implies:
% 73.66/10.86 | (233) bool(err) = all_113_1
% 73.66/10.86 | (234) phi(err) = all_113_0
% 73.66/10.86 |
% 73.66/10.86 | DELTA: instantiating (217) with fresh symbols all_115_0, all_115_1 gives:
% 73.66/10.86 | (235) f3(false, true, false) = all_115_1 & lazy_impl(all_115_0, true) =
% 73.66/10.86 | all_115_1 & prop(false) = all_115_0 & $i(all_115_0) & $i(all_115_1)
% 73.66/10.86 |
% 73.66/10.86 | ALPHA: (235) implies:
% 73.66/10.86 | (236) prop(false) = all_115_0
% 73.66/10.86 | (237) lazy_impl(all_115_0, true) = all_115_1
% 73.66/10.86 |
% 73.66/10.86 | DELTA: instantiating (189) with fresh symbols all_117_0, all_117_1 gives:
% 73.66/10.86 | (238) not1(false2) = all_117_0 & bool(false2) = all_117_1 & $i(all_117_0) &
% 73.66/10.86 | (all_117_0 = all_95_0 | all_117_1 = 0)
% 73.66/10.86 |
% 73.66/10.86 | ALPHA: (238) implies:
% 73.66/10.86 | (239) bool(false2) = all_117_1
% 73.66/10.86 | (240) not1(false2) = all_117_0
% 73.66/10.86 |
% 73.66/10.86 | DELTA: instantiating (213) with fresh symbols all_119_0, all_119_1 gives:
% 73.66/10.86 | (241) f3(false, false, true) = all_119_1 & lazy_impl(all_119_0, true) =
% 73.66/10.86 | all_119_1 & prop(true) = all_119_0 & $i(all_119_0) & $i(all_119_1)
% 73.66/10.86 |
% 73.66/10.86 | ALPHA: (241) implies:
% 73.66/10.86 | (242) prop(true) = all_119_0
% 73.66/10.86 | (243) lazy_impl(all_119_0, true) = all_119_1
% 73.66/10.86 |
% 73.66/10.86 | DELTA: instantiating (210) with fresh symbols all_121_0, all_121_1 gives:
% 73.66/10.86 | (244) f3(true, true, true) = all_121_1 & lazy_impl(all_121_0, true) =
% 73.66/10.86 | all_121_1 & prop(true) = all_121_0 & $i(all_121_0) & $i(all_121_1)
% 73.66/10.86 |
% 73.66/10.86 | ALPHA: (244) implies:
% 73.66/10.86 | (245) prop(true) = all_121_0
% 73.66/10.86 | (246) lazy_impl(all_121_0, true) = all_121_1
% 73.66/10.86 |
% 73.66/10.86 | DELTA: instantiating (207) with fresh symbols all_123_0, all_123_1 gives:
% 73.66/10.86 | (247) f3(true, false, false) = all_123_1 & lazy_impl(all_123_0, true) =
% 73.66/10.86 | all_123_1 & prop(false) = all_123_0 & $i(all_123_0) & $i(all_123_1)
% 73.66/10.86 |
% 73.66/10.86 | ALPHA: (247) implies:
% 73.66/10.86 | (248) prop(false) = all_123_0
% 73.66/10.86 | (249) lazy_impl(all_123_0, true) = all_123_1
% 73.66/10.86 | (250) f3(true, false, false) = all_123_1
% 73.66/10.86 |
% 73.66/10.86 | DELTA: instantiating (212) with fresh symbols all_125_0, all_125_1 gives:
% 73.66/10.86 | (251) f3(true, false, true) = all_125_1 & lazy_impl(all_125_0, true) =
% 73.66/10.86 | all_125_1 & prop(true) = all_125_0 & $i(all_125_0) & $i(all_125_1)
% 73.66/10.86 |
% 73.66/10.86 | ALPHA: (251) implies:
% 73.66/10.86 | (252) prop(true) = all_125_0
% 73.66/10.86 | (253) lazy_impl(all_125_0, true) = all_125_1
% 73.66/10.86 |
% 73.66/10.86 | DELTA: instantiating (205) with fresh symbols all_127_0, all_127_1 gives:
% 73.66/10.86 | (254) f3(false, false, false) = all_127_1 & lazy_impl(all_127_0, false) =
% 73.66/10.86 | all_127_1 & prop(false) = all_127_0 & $i(all_127_0) & $i(all_127_1)
% 73.66/10.86 |
% 73.66/10.86 | ALPHA: (254) implies:
% 73.66/10.86 | (255) $i(all_127_1)
% 73.66/10.86 | (256) prop(false) = all_127_0
% 73.66/10.86 | (257) lazy_impl(all_127_0, false) = all_127_1
% 73.66/10.86 | (258) f3(false, false, false) = all_127_1
% 73.66/10.86 |
% 73.66/10.86 | DELTA: instantiating (211) with fresh symbols all_129_0, all_129_1 gives:
% 73.66/10.86 | (259) f3(false, true, true) = all_129_1 & lazy_impl(all_129_0, true) =
% 73.66/10.86 | all_129_1 & prop(true) = all_129_0 & $i(all_129_0) & $i(all_129_1)
% 73.66/10.86 |
% 73.66/10.86 | ALPHA: (259) implies:
% 73.66/10.86 | (260) prop(true) = all_129_0
% 73.66/10.86 | (261) lazy_impl(all_129_0, true) = all_129_1
% 73.66/10.86 |
% 73.66/10.86 | DELTA: instantiating (209) with fresh symbols all_131_0, all_131_1 gives:
% 73.66/10.86 | (262) f3(true, true, false) = all_131_1 & lazy_impl(all_131_0, true) =
% 73.66/10.86 | all_131_1 & prop(false) = all_131_0 & $i(all_131_0) & $i(all_131_1)
% 73.66/10.86 |
% 73.66/10.86 | ALPHA: (262) implies:
% 73.66/10.86 | (263) prop(false) = all_131_0
% 73.66/10.86 | (264) lazy_impl(all_131_0, true) = all_131_1
% 73.66/10.86 |
% 73.66/10.86 | DELTA: instantiating (196) with fresh symbol all_133_0 gives:
% 73.66/10.86 | (265) d(all_55_0) = all_133_0 & ((all_133_0 = 0 & all_87_0 = all_55_0) |
% 73.66/10.86 | (all_87_0 = err & ~ (all_133_0 = 0)))
% 73.66/10.86 |
% 73.66/10.86 | ALPHA: (265) implies:
% 73.66/10.86 | (266) d(all_55_0) = all_133_0
% 73.66/10.86 |
% 73.66/10.86 | DELTA: instantiating (195) with fresh symbols all_135_0, all_135_1 gives:
% 73.66/10.86 | (267) not1(all_55_0) = all_135_0 & bool(all_55_0) = all_135_1 &
% 73.66/10.86 | $i(all_135_0) & (all_135_0 = all_87_0 | all_135_1 = 0)
% 73.66/10.86 |
% 73.66/10.86 | ALPHA: (267) implies:
% 73.66/10.86 | (268) $i(all_135_0)
% 73.66/10.86 | (269) not1(all_55_0) = all_135_0
% 73.66/10.86 |
% 73.66/10.86 | DELTA: instantiating (188) with fresh symbol all_137_0 gives:
% 73.66/10.86 | (270) phi(all_42_2) = all_137_0 & $i(all_137_0) & ((all_137_0 = all_42_2 &
% 73.66/10.86 | all_81_0 = 0) | (all_137_0 = err & ~ (all_81_0 = 0)))
% 73.66/10.86 |
% 73.66/10.86 | ALPHA: (270) implies:
% 73.66/10.86 | (271) $i(all_137_0)
% 73.66/10.87 | (272) phi(all_42_2) = all_137_0
% 73.66/10.87 |
% 73.66/10.87 | DELTA: instantiating (222) with fresh symbols all_139_0, all_139_1, all_139_2
% 73.66/10.87 | gives:
% 73.66/10.87 | (273) f2(true, false, false) = all_139_2 & lazy_impl(all_139_1, all_139_0)
% 73.66/10.87 | = all_139_2 & impl(true, false) = all_139_0 & prop(false) = all_139_1
% 73.66/10.87 | & $i(all_139_0) & $i(all_139_1) & $i(all_139_2)
% 73.66/10.87 |
% 73.66/10.87 | ALPHA: (273) implies:
% 73.66/10.87 | (274) prop(false) = all_139_1
% 73.66/10.87 | (275) impl(true, false) = all_139_0
% 73.66/10.87 | (276) lazy_impl(all_139_1, all_139_0) = all_139_2
% 73.66/10.87 | (277) f2(true, false, false) = all_139_2
% 73.66/10.87 |
% 73.66/10.87 | DELTA: instantiating (220) with fresh symbols all_141_0, all_141_1, all_141_2
% 73.66/10.87 | gives:
% 73.66/10.87 | (278) f2(true, true, true) = all_141_2 & lazy_impl(all_141_1, all_141_0) =
% 73.66/10.87 | all_141_2 & impl(true, true) = all_141_0 & prop(true) = all_141_1 &
% 73.66/10.87 | $i(all_141_0) & $i(all_141_1) & $i(all_141_2)
% 73.66/10.87 |
% 73.66/10.87 | ALPHA: (278) implies:
% 73.66/10.87 | (279) prop(true) = all_141_1
% 73.66/10.87 | (280) impl(true, true) = all_141_0
% 73.66/10.87 | (281) lazy_impl(all_141_1, all_141_0) = all_141_2
% 73.66/10.87 | (282) f2(true, true, true) = all_141_2
% 73.66/10.87 |
% 73.66/10.87 | DELTA: instantiating (219) with fresh symbols all_143_0, all_143_1, all_143_2
% 73.66/10.87 | gives:
% 73.66/10.87 | (283) f2(true, true, false) = all_143_2 & lazy_impl(all_143_1, all_143_0) =
% 73.66/10.87 | all_143_2 & impl(false, false) = all_143_0 & prop(false) = all_143_1
% 73.66/10.87 | & $i(all_143_0) & $i(all_143_1) & $i(all_143_2)
% 73.66/10.87 |
% 73.66/10.87 | ALPHA: (283) implies:
% 73.66/10.87 | (284) prop(false) = all_143_1
% 73.66/10.87 | (285) impl(false, false) = all_143_0
% 73.66/10.87 | (286) lazy_impl(all_143_1, all_143_0) = all_143_2
% 73.66/10.87 | (287) f2(true, true, false) = all_143_2
% 73.66/10.87 |
% 73.66/10.87 | DELTA: instantiating (221) with fresh symbols all_145_0, all_145_1, all_145_2
% 73.66/10.87 | gives:
% 73.66/10.87 | (288) f2(true, false, true) = all_145_2 & lazy_impl(all_145_1, all_145_0) =
% 73.66/10.87 | all_145_2 & impl(true, true) = all_145_0 & prop(true) = all_145_1 &
% 73.66/10.87 | $i(all_145_0) & $i(all_145_1) & $i(all_145_2)
% 73.66/10.87 |
% 73.66/10.87 | ALPHA: (288) implies:
% 73.66/10.87 | (289) prop(true) = all_145_1
% 73.66/10.87 | (290) impl(true, true) = all_145_0
% 73.66/10.87 | (291) lazy_impl(all_145_1, all_145_0) = all_145_2
% 73.66/10.87 |
% 73.66/10.87 | DELTA: instantiating (218) with fresh symbols all_147_0, all_147_1, all_147_2
% 73.66/10.87 | gives:
% 73.66/10.87 | (292) f1(true, false, false) = all_147_2 & lazy_impl(all_147_1, all_147_0)
% 73.66/10.87 | = all_147_2 & impl(true, false) = all_147_0 & prop(false) = all_147_1
% 73.66/10.87 | & $i(all_147_0) & $i(all_147_1) & $i(all_147_2)
% 73.66/10.87 |
% 73.66/10.87 | ALPHA: (292) implies:
% 73.66/10.87 | (293) prop(false) = all_147_1
% 73.66/10.87 | (294) impl(true, false) = all_147_0
% 73.66/10.87 | (295) lazy_impl(all_147_1, all_147_0) = all_147_2
% 73.66/10.87 |
% 73.66/10.87 | DELTA: instantiating (214) with fresh symbols all_149_0, all_149_1, all_149_2
% 73.66/10.87 | gives:
% 73.66/10.87 | (296) f1(true, true, true) = all_149_2 & lazy_impl(all_149_1, all_149_0) =
% 73.66/10.87 | all_149_2 & impl(true, true) = all_149_0 & prop(true) = all_149_1 &
% 73.66/10.87 | $i(all_149_0) & $i(all_149_1) & $i(all_149_2)
% 73.66/10.87 |
% 73.66/10.87 | ALPHA: (296) implies:
% 73.66/10.87 | (297) prop(true) = all_149_1
% 73.66/10.87 | (298) impl(true, true) = all_149_0
% 73.66/10.87 | (299) lazy_impl(all_149_1, all_149_0) = all_149_2
% 73.66/10.87 |
% 73.66/10.87 | DELTA: instantiating (216) with fresh symbols all_151_0, all_151_1, all_151_2
% 73.66/10.87 | gives:
% 73.66/10.87 | (300) f1(true, false, true) = all_151_2 & lazy_impl(all_151_1, all_151_0) =
% 73.66/10.87 | all_151_2 & impl(true, true) = all_151_0 & prop(true) = all_151_1 &
% 73.66/10.87 | $i(all_151_0) & $i(all_151_1) & $i(all_151_2)
% 73.66/10.87 |
% 73.66/10.87 | ALPHA: (300) implies:
% 73.66/10.87 | (301) prop(true) = all_151_1
% 73.66/10.87 | (302) impl(true, true) = all_151_0
% 73.66/10.87 | (303) lazy_impl(all_151_1, all_151_0) = all_151_2
% 73.66/10.87 |
% 73.66/10.87 | DELTA: instantiating (204) with fresh symbols all_153_0, all_153_1, all_153_2
% 73.66/10.87 | gives:
% 73.66/10.87 | (304) f1(false, false, false) = all_153_2 & lazy_impl(all_153_1, all_153_0)
% 73.66/10.87 | = all_153_2 & impl(true, false) = all_153_0 & prop(false) = all_153_1
% 73.66/10.87 | & $i(all_153_0) & $i(all_153_1) & $i(all_153_2)
% 73.66/10.87 |
% 73.66/10.87 | ALPHA: (304) implies:
% 73.66/10.87 | (305) prop(false) = all_153_1
% 73.66/10.87 | (306) impl(true, false) = all_153_0
% 73.66/10.87 | (307) lazy_impl(all_153_1, all_153_0) = all_153_2
% 73.66/10.87 |
% 73.66/10.87 | DELTA: instantiating (203) with fresh symbols all_155_0, all_155_1, all_155_2
% 73.66/10.87 | gives:
% 73.66/10.87 | (308) f1(false, false, true) = all_155_2 & lazy_impl(all_155_1, all_155_0)
% 73.66/10.87 | = all_155_2 & impl(true, true) = all_155_0 & prop(true) = all_155_1 &
% 73.66/10.87 | $i(all_155_0) & $i(all_155_1) & $i(all_155_2)
% 73.66/10.87 |
% 73.66/10.87 | ALPHA: (308) implies:
% 73.66/10.87 | (309) prop(true) = all_155_1
% 73.66/10.87 | (310) impl(true, true) = all_155_0
% 73.66/10.87 | (311) lazy_impl(all_155_1, all_155_0) = all_155_2
% 73.66/10.87 |
% 73.66/10.87 | DELTA: instantiating (206) with fresh symbols all_157_0, all_157_1, all_157_2
% 73.66/10.87 | gives:
% 73.66/10.87 | (312) f1(true, true, false) = all_157_2 & lazy_impl(all_157_1, all_157_0) =
% 73.66/10.87 | all_157_2 & impl(false, false) = all_157_0 & prop(false) = all_157_1
% 73.66/10.87 | & $i(all_157_0) & $i(all_157_1) & $i(all_157_2)
% 73.66/10.87 |
% 73.66/10.87 | ALPHA: (312) implies:
% 73.66/10.87 | (313) prop(false) = all_157_1
% 73.66/10.87 | (314) impl(false, false) = all_157_0
% 73.66/10.87 | (315) lazy_impl(all_157_1, all_157_0) = all_157_2
% 73.66/10.87 |
% 73.66/10.87 | DELTA: instantiating (215) with fresh symbols all_159_0, all_159_1, all_159_2
% 73.66/10.87 | gives:
% 73.66/10.87 | (316) f1(false, true, true) = all_159_2 & lazy_impl(all_159_1, all_159_0) =
% 73.66/10.87 | all_159_2 & impl(true, true) = all_159_0 & prop(true) = all_159_1 &
% 73.66/10.87 | $i(all_159_0) & $i(all_159_1) & $i(all_159_2)
% 73.66/10.87 |
% 73.66/10.87 | ALPHA: (316) implies:
% 73.66/10.87 | (317) prop(true) = all_159_1
% 73.66/10.87 | (318) impl(true, true) = all_159_0
% 73.66/10.87 | (319) lazy_impl(all_159_1, all_159_0) = all_159_2
% 73.66/10.87 |
% 73.66/10.87 | DELTA: instantiating (208) with fresh symbols all_161_0, all_161_1, all_161_2
% 73.66/10.87 | gives:
% 73.66/10.87 | (320) f1(false, true, false) = all_161_2 & lazy_impl(all_161_1, all_161_0)
% 73.66/10.87 | = all_161_2 & impl(true, false) = all_161_0 & prop(false) = all_161_1
% 73.66/10.87 | & $i(all_161_0) & $i(all_161_1) & $i(all_161_2)
% 73.66/10.87 |
% 73.66/10.87 | ALPHA: (320) implies:
% 73.66/10.88 | (321) prop(false) = all_161_1
% 73.66/10.88 | (322) impl(true, false) = all_161_0
% 73.66/10.88 | (323) lazy_impl(all_161_1, all_161_0) = all_161_2
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (40) with all_91_1, all_113_1, err, simplifying
% 73.66/10.88 | with (160), (233) gives:
% 73.66/10.88 | (324) all_113_1 = all_91_1
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (40) with all_95_1, all_117_1, false2, simplifying
% 73.66/10.88 | with (166), (239) gives:
% 73.66/10.88 | (325) all_117_1 = all_95_1
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (42) with err, all_113_0, err, simplifying with
% 73.66/10.88 | (65), (234) gives:
% 73.66/10.88 | (326) all_113_0 = err
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (42) with all_59_0, all_137_0, all_42_2,
% 73.66/10.88 | simplifying with (90), (272) gives:
% 73.66/10.88 | (327) all_137_0 = all_59_0
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (43) with true, all_131_0, false, simplifying with
% 73.66/10.88 | (111), (263) gives:
% 73.66/10.88 | (328) all_131_0 = true
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (43) with all_127_0, all_131_0, false, simplifying
% 73.66/10.88 | with (256), (263) gives:
% 73.66/10.88 | (329) all_131_0 = all_127_0
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (43) with all_139_1, all_147_1, false, simplifying
% 73.66/10.88 | with (274), (293) gives:
% 73.66/10.88 | (330) all_147_1 = all_139_1
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (43) with all_115_0, all_147_1, false, simplifying
% 73.66/10.88 | with (236), (293) gives:
% 73.66/10.88 | (331) all_147_1 = all_115_0
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (43) with all_139_1, all_153_1, false, simplifying
% 73.66/10.88 | with (274), (305) gives:
% 73.66/10.88 | (332) all_153_1 = all_139_1
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (43) with all_127_0, all_153_1, false, simplifying
% 73.66/10.88 | with (256), (305) gives:
% 73.66/10.88 | (333) all_153_1 = all_127_0
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (43) with all_153_1, all_157_1, false, simplifying
% 73.66/10.88 | with (305), (313) gives:
% 73.66/10.88 | (334) all_157_1 = all_153_1
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (43) with all_123_0, all_157_1, false, simplifying
% 73.66/10.88 | with (248), (313) gives:
% 73.66/10.88 | (335) all_157_1 = all_123_0
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (43) with all_153_1, all_161_1, false, simplifying
% 73.66/10.88 | with (305), (321) gives:
% 73.66/10.88 | (336) all_161_1 = all_153_1
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (43) with all_143_1, all_161_1, false, simplifying
% 73.66/10.88 | with (284), (321) gives:
% 73.66/10.88 | (337) all_161_1 = all_143_1
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (43) with true, all_145_1, true, simplifying with
% 73.66/10.88 | (115), (289) gives:
% 73.66/10.88 | (338) all_145_1 = true
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (43) with all_145_1, all_149_1, true, simplifying
% 73.66/10.88 | with (289), (297) gives:
% 73.66/10.88 | (339) all_149_1 = all_145_1
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (43) with all_141_1, all_149_1, true, simplifying
% 73.66/10.88 | with (279), (297) gives:
% 73.66/10.88 | (340) all_149_1 = all_141_1
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (43) with all_129_0, all_149_1, true, simplifying
% 73.66/10.88 | with (260), (297) gives:
% 73.66/10.88 | (341) all_149_1 = all_129_0
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (43) with all_125_0, all_149_1, true, simplifying
% 73.66/10.88 | with (252), (297) gives:
% 73.66/10.88 | (342) all_149_1 = all_125_0
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (43) with all_129_0, all_151_1, true, simplifying
% 73.66/10.88 | with (260), (301) gives:
% 73.66/10.88 | (343) all_151_1 = all_129_0
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (43) with all_151_1, all_155_1, true, simplifying
% 73.66/10.88 | with (301), (309) gives:
% 73.66/10.88 | (344) all_155_1 = all_151_1
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (43) with all_121_0, all_155_1, true, simplifying
% 73.66/10.88 | with (245), (309) gives:
% 73.66/10.88 | (345) all_155_1 = all_121_0
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (43) with all_149_1, all_159_1, true, simplifying
% 73.66/10.88 | with (297), (317) gives:
% 73.66/10.88 | (346) all_159_1 = all_149_1
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (43) with all_119_0, all_159_1, true, simplifying
% 73.66/10.88 | with (242), (317) gives:
% 73.66/10.88 | (347) all_159_1 = all_119_0
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (47) with true, all_157_0, false, false,
% 73.66/10.88 | simplifying with (110), (314) gives:
% 73.66/10.88 | (348) all_157_0 = true
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (47) with all_143_0, all_157_0, false, false,
% 73.66/10.88 | simplifying with (285), (314) gives:
% 73.66/10.88 | (349) all_157_0 = all_143_0
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (47) with false, all_147_0, false, true,
% 73.66/10.88 | simplifying with (109), (294) gives:
% 73.66/10.88 | (350) all_147_0 = false
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (47) with all_147_0, all_153_0, false, true,
% 73.66/10.88 | simplifying with (294), (306) gives:
% 73.66/10.88 | (351) all_153_0 = all_147_0
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (47) with all_153_0, all_161_0, false, true,
% 73.66/10.88 | simplifying with (306), (322) gives:
% 73.66/10.88 | (352) all_161_0 = all_153_0
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (47) with all_139_0, all_161_0, false, true,
% 73.66/10.88 | simplifying with (275), (322) gives:
% 73.66/10.88 | (353) all_161_0 = all_139_0
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (47) with true, all_145_0, true, true, simplifying
% 73.66/10.88 | with (113), (290) gives:
% 73.66/10.88 | (354) all_145_0 = true
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (47) with all_145_0, all_149_0, true, true,
% 73.66/10.88 | simplifying with (290), (298) gives:
% 73.66/10.88 | (355) all_149_0 = all_145_0
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (47) with all_149_0, all_151_0, true, true,
% 73.66/10.88 | simplifying with (298), (302) gives:
% 73.66/10.88 | (356) all_151_0 = all_149_0
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (47) with all_151_0, all_155_0, true, true,
% 73.66/10.88 | simplifying with (302), (310) gives:
% 73.66/10.88 | (357) all_155_0 = all_151_0
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (47) with all_155_0, all_159_0, true, true,
% 73.66/10.88 | simplifying with (310), (318) gives:
% 73.66/10.88 | (358) all_159_0 = all_155_0
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (47) with all_141_0, all_159_0, true, true,
% 73.66/10.88 | simplifying with (280), (318) gives:
% 73.66/10.88 | (359) all_159_0 = all_141_0
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (48) with false, all_109_0, false, true,
% 73.66/10.88 | simplifying with (120), (228) gives:
% 73.66/10.88 | (360) all_109_0 = false
% 73.66/10.88 |
% 73.66/10.88 | GROUND_INST: instantiating (48) with true, all_107_0, true, true, simplifying
% 73.66/10.88 | with (122), (225) gives:
% 73.66/10.88 | (361) all_107_0 = true
% 73.66/10.88 |
% 73.66/10.88 | COMBINE_EQS: (352), (353) imply:
% 73.66/10.88 | (362) all_153_0 = all_139_0
% 73.66/10.88 |
% 73.66/10.88 | SIMP: (362) implies:
% 73.66/10.88 | (363) all_153_0 = all_139_0
% 73.66/10.88 |
% 73.66/10.89 | COMBINE_EQS: (336), (337) imply:
% 73.66/10.89 | (364) all_153_1 = all_143_1
% 73.66/10.89 |
% 73.66/10.89 | SIMP: (364) implies:
% 73.66/10.89 | (365) all_153_1 = all_143_1
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (358), (359) imply:
% 73.66/10.89 | (366) all_155_0 = all_141_0
% 73.66/10.89 |
% 73.66/10.89 | SIMP: (366) implies:
% 73.66/10.89 | (367) all_155_0 = all_141_0
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (346), (347) imply:
% 73.66/10.89 | (368) all_149_1 = all_119_0
% 73.66/10.89 |
% 73.66/10.89 | SIMP: (368) implies:
% 73.66/10.89 | (369) all_149_1 = all_119_0
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (348), (349) imply:
% 73.66/10.89 | (370) all_143_0 = true
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (334), (335) imply:
% 73.66/10.89 | (371) all_153_1 = all_123_0
% 73.66/10.89 |
% 73.66/10.89 | SIMP: (371) implies:
% 73.66/10.89 | (372) all_153_1 = all_123_0
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (357), (367) imply:
% 73.66/10.89 | (373) all_151_0 = all_141_0
% 73.66/10.89 |
% 73.66/10.89 | SIMP: (373) implies:
% 73.66/10.89 | (374) all_151_0 = all_141_0
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (344), (345) imply:
% 73.66/10.89 | (375) all_151_1 = all_121_0
% 73.66/10.89 |
% 73.66/10.89 | SIMP: (375) implies:
% 73.66/10.89 | (376) all_151_1 = all_121_0
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (351), (363) imply:
% 73.66/10.89 | (377) all_147_0 = all_139_0
% 73.66/10.89 |
% 73.66/10.89 | SIMP: (377) implies:
% 73.66/10.89 | (378) all_147_0 = all_139_0
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (332), (365) imply:
% 73.66/10.89 | (379) all_143_1 = all_139_1
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (365), (372) imply:
% 73.66/10.89 | (380) all_143_1 = all_123_0
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (333), (365) imply:
% 73.66/10.89 | (381) all_143_1 = all_127_0
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (356), (374) imply:
% 73.66/10.89 | (382) all_149_0 = all_141_0
% 73.66/10.89 |
% 73.66/10.89 | SIMP: (382) implies:
% 73.66/10.89 | (383) all_149_0 = all_141_0
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (343), (376) imply:
% 73.66/10.89 | (384) all_129_0 = all_121_0
% 73.66/10.89 |
% 73.66/10.89 | SIMP: (384) implies:
% 73.66/10.89 | (385) all_129_0 = all_121_0
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (355), (383) imply:
% 73.66/10.89 | (386) all_145_0 = all_141_0
% 73.66/10.89 |
% 73.66/10.89 | SIMP: (386) implies:
% 73.66/10.89 | (387) all_145_0 = all_141_0
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (340), (342) imply:
% 73.66/10.89 | (388) all_141_1 = all_125_0
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (340), (369) imply:
% 73.66/10.89 | (389) all_141_1 = all_119_0
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (339), (340) imply:
% 73.66/10.89 | (390) all_145_1 = all_141_1
% 73.66/10.89 |
% 73.66/10.89 | SIMP: (390) implies:
% 73.66/10.89 | (391) all_145_1 = all_141_1
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (340), (341) imply:
% 73.66/10.89 | (392) all_141_1 = all_129_0
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (350), (378) imply:
% 73.66/10.89 | (393) all_139_0 = false
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (330), (331) imply:
% 73.66/10.89 | (394) all_139_1 = all_115_0
% 73.66/10.89 |
% 73.66/10.89 | SIMP: (394) implies:
% 73.66/10.89 | (395) all_139_1 = all_115_0
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (354), (387) imply:
% 73.66/10.89 | (396) all_141_0 = true
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (338), (391) imply:
% 73.66/10.89 | (397) all_141_1 = true
% 73.66/10.89 |
% 73.66/10.89 | SIMP: (397) implies:
% 73.66/10.89 | (398) all_141_1 = true
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (380), (381) imply:
% 73.66/10.89 | (399) all_127_0 = all_123_0
% 73.66/10.89 |
% 73.66/10.89 | SIMP: (399) implies:
% 73.66/10.89 | (400) all_127_0 = all_123_0
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (379), (380) imply:
% 73.66/10.89 | (401) all_139_1 = all_123_0
% 73.66/10.89 |
% 73.66/10.89 | SIMP: (401) implies:
% 73.66/10.89 | (402) all_139_1 = all_123_0
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (388), (392) imply:
% 73.66/10.89 | (403) all_129_0 = all_125_0
% 73.66/10.89 |
% 73.66/10.89 | SIMP: (403) implies:
% 73.66/10.89 | (404) all_129_0 = all_125_0
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (388), (389) imply:
% 73.66/10.89 | (405) all_125_0 = all_119_0
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (388), (398) imply:
% 73.66/10.89 | (406) all_125_0 = true
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (395), (402) imply:
% 73.66/10.89 | (407) all_123_0 = all_115_0
% 73.66/10.89 |
% 73.66/10.89 | SIMP: (407) implies:
% 73.66/10.89 | (408) all_123_0 = all_115_0
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (328), (329) imply:
% 73.66/10.89 | (409) all_127_0 = true
% 73.66/10.89 |
% 73.66/10.89 | SIMP: (409) implies:
% 73.66/10.89 | (410) all_127_0 = true
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (385), (404) imply:
% 73.66/10.89 | (411) all_125_0 = all_121_0
% 73.66/10.89 |
% 73.66/10.89 | SIMP: (411) implies:
% 73.66/10.89 | (412) all_125_0 = all_121_0
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (400), (410) imply:
% 73.66/10.89 | (413) all_123_0 = true
% 73.66/10.89 |
% 73.66/10.89 | SIMP: (413) implies:
% 73.66/10.89 | (414) all_123_0 = true
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (406), (412) imply:
% 73.66/10.89 | (415) all_121_0 = true
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (405), (412) imply:
% 73.66/10.89 | (416) all_121_0 = all_119_0
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (408), (414) imply:
% 73.66/10.89 | (417) all_115_0 = true
% 73.66/10.89 |
% 73.66/10.89 | SIMP: (417) implies:
% 73.66/10.89 | (418) all_115_0 = true
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (415), (416) imply:
% 73.66/10.89 | (419) all_119_0 = true
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (385), (415) imply:
% 73.66/10.89 | (420) all_129_0 = true
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (395), (418) imply:
% 73.66/10.89 | (421) all_139_1 = true
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (380), (414) imply:
% 73.66/10.89 | (422) all_143_1 = true
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (331), (418) imply:
% 73.66/10.89 | (423) all_147_1 = true
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (340), (398) imply:
% 73.66/10.89 | (424) all_149_1 = true
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (383), (396) imply:
% 73.66/10.89 | (425) all_149_0 = true
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (376), (415) imply:
% 73.66/10.89 | (426) all_151_1 = true
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (374), (396) imply:
% 73.66/10.89 | (427) all_151_0 = true
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (365), (422) imply:
% 73.66/10.89 | (428) all_153_1 = true
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (363), (393) imply:
% 73.66/10.89 | (429) all_153_0 = false
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (345), (415) imply:
% 73.66/10.89 | (430) all_155_1 = true
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (367), (396) imply:
% 73.66/10.89 | (431) all_155_0 = true
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (335), (414) imply:
% 73.66/10.89 | (432) all_157_1 = true
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (347), (419) imply:
% 73.66/10.89 | (433) all_159_1 = true
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (359), (396) imply:
% 73.66/10.89 | (434) all_159_0 = true
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (337), (422) imply:
% 73.66/10.89 | (435) all_161_1 = true
% 73.66/10.89 |
% 73.66/10.89 | COMBINE_EQS: (353), (393) imply:
% 73.66/10.89 | (436) all_161_0 = false
% 73.66/10.89 |
% 73.66/10.89 | REDUCE: (226), (361) imply:
% 73.66/10.89 | (437) f7(true) = true
% 73.66/10.89 |
% 73.66/10.89 | REDUCE: (229), (360) imply:
% 73.66/10.89 | (438) f7(false) = false
% 73.66/10.89 |
% 73.66/10.89 | REDUCE: (323), (435), (436) imply:
% 73.66/10.89 | (439) lazy_impl(true, false) = all_161_2
% 73.66/10.89 |
% 73.66/10.89 | REDUCE: (319), (433), (434) imply:
% 73.66/10.89 | (440) lazy_impl(true, true) = all_159_2
% 73.66/10.89 |
% 73.66/10.89 | REDUCE: (315), (348), (432) imply:
% 73.66/10.89 | (441) lazy_impl(true, true) = all_157_2
% 73.66/10.89 |
% 73.66/10.89 | REDUCE: (311), (430), (431) imply:
% 73.66/10.89 | (442) lazy_impl(true, true) = all_155_2
% 73.66/10.89 |
% 73.66/10.89 | REDUCE: (307), (428), (429) imply:
% 73.66/10.90 | (443) lazy_impl(true, false) = all_153_2
% 73.66/10.90 |
% 73.66/10.90 | REDUCE: (303), (426), (427) imply:
% 73.66/10.90 | (444) lazy_impl(true, true) = all_151_2
% 73.66/10.90 |
% 73.66/10.90 | REDUCE: (299), (424), (425) imply:
% 73.66/10.90 | (445) lazy_impl(true, true) = all_149_2
% 73.66/10.90 |
% 73.66/10.90 | REDUCE: (295), (350), (423) imply:
% 73.66/10.90 | (446) lazy_impl(true, false) = all_147_2
% 73.66/10.90 |
% 73.66/10.90 | REDUCE: (291), (338), (354) imply:
% 73.66/10.90 | (447) lazy_impl(true, true) = all_145_2
% 73.66/10.90 |
% 73.66/10.90 | REDUCE: (286), (370), (422) imply:
% 73.66/10.90 | (448) lazy_impl(true, true) = all_143_2
% 73.66/10.90 |
% 73.66/10.90 | REDUCE: (281), (396), (398) imply:
% 73.66/10.90 | (449) lazy_impl(true, true) = all_141_2
% 73.66/10.90 |
% 73.66/10.90 | REDUCE: (276), (393), (421) imply:
% 73.66/10.90 | (450) lazy_impl(true, false) = all_139_2
% 73.66/10.90 |
% 73.66/10.90 | REDUCE: (264), (328) imply:
% 73.66/10.90 | (451) lazy_impl(true, true) = all_131_1
% 73.66/10.90 |
% 73.66/10.90 | REDUCE: (261), (420) imply:
% 73.66/10.90 | (452) lazy_impl(true, true) = all_129_1
% 73.66/10.90 |
% 73.66/10.90 | REDUCE: (257), (410) imply:
% 73.66/10.90 | (453) lazy_impl(true, false) = all_127_1
% 73.66/10.90 |
% 73.66/10.90 | REDUCE: (253), (406) imply:
% 73.66/10.90 | (454) lazy_impl(true, true) = all_125_1
% 73.66/10.90 |
% 73.66/10.90 | REDUCE: (249), (414) imply:
% 73.66/10.90 | (455) lazy_impl(true, true) = all_123_1
% 73.66/10.90 |
% 73.66/10.90 | REDUCE: (246), (415) imply:
% 73.66/10.90 | (456) lazy_impl(true, true) = all_121_1
% 73.66/10.90 |
% 73.66/10.90 | REDUCE: (243), (419) imply:
% 73.66/10.90 | (457) lazy_impl(true, true) = all_119_1
% 73.66/10.90 |
% 73.66/10.90 | REDUCE: (237), (418) imply:
% 73.66/10.90 | (458) lazy_impl(true, true) = all_115_1
% 73.66/10.90 |
% 73.66/10.90 | REDUCE: (271), (327) imply:
% 73.66/10.90 | (459) $i(all_59_0)
% 73.66/10.90 |
% 73.66/10.90 | GROUND_INST: instantiating (48) with false, all_139_2, false, true,
% 73.66/10.90 | simplifying with (120), (450) gives:
% 73.66/10.90 | (460) all_139_2 = false
% 73.66/10.90 |
% 73.66/10.90 | GROUND_INST: instantiating (48) with all_139_2, all_147_2, false, true,
% 73.66/10.90 | simplifying with (446), (450) gives:
% 73.66/10.90 | (461) all_147_2 = all_139_2
% 73.66/10.90 |
% 73.66/10.90 | GROUND_INST: instantiating (48) with all_153_2, all_161_2, false, true,
% 73.66/10.90 | simplifying with (439), (443) gives:
% 73.66/10.90 | (462) all_161_2 = all_153_2
% 73.66/10.90 |
% 73.66/10.90 | GROUND_INST: instantiating (48) with all_147_2, all_161_2, false, true,
% 73.66/10.90 | simplifying with (439), (446) gives:
% 73.66/10.90 | (463) all_161_2 = all_147_2
% 73.66/10.90 |
% 73.66/10.90 | GROUND_INST: instantiating (48) with all_127_1, all_161_2, false, true,
% 73.66/10.90 | simplifying with (439), (453) gives:
% 73.66/10.90 | (464) all_161_2 = all_127_1
% 73.66/10.90 |
% 73.66/10.90 | GROUND_INST: instantiating (48) with all_119_1, all_123_1, true, true,
% 73.66/10.90 | simplifying with (455), (457) gives:
% 73.66/10.90 | (465) all_123_1 = all_119_1
% 73.66/10.90 |
% 73.66/10.90 | GROUND_INST: instantiating (48) with all_129_1, all_143_2, true, true,
% 73.66/10.90 | simplifying with (448), (452) gives:
% 73.66/10.90 | (466) all_143_2 = all_129_1
% 73.66/10.90 |
% 73.66/10.90 | GROUND_INST: instantiating (48) with all_115_1, all_143_2, true, true,
% 73.66/10.90 | simplifying with (448), (458) gives:
% 73.66/10.90 | (467) all_143_2 = all_115_1
% 73.66/10.90 |
% 73.66/10.90 | GROUND_INST: instantiating (48) with all_123_1, all_145_2, true, true,
% 73.66/10.90 | simplifying with (447), (455) gives:
% 73.66/10.90 | (468) all_145_2 = all_123_1
% 73.66/10.90 |
% 73.66/10.90 | GROUND_INST: instantiating (48) with all_119_1, all_149_2, true, true,
% 73.66/10.90 | simplifying with (445), (457) gives:
% 73.66/10.90 | (469) all_149_2 = all_119_1
% 73.66/10.90 |
% 73.66/10.90 | GROUND_INST: instantiating (48) with all_125_1, all_151_2, true, true,
% 73.66/10.90 | simplifying with (444), (454) gives:
% 73.66/10.90 | (470) all_151_2 = all_125_1
% 73.66/10.90 |
% 73.66/10.90 | GROUND_INST: instantiating (48) with true, all_155_2, true, true, simplifying
% 73.66/10.90 | with (122), (442) gives:
% 73.66/10.90 | (471) all_155_2 = true
% 73.66/10.90 |
% 73.66/10.90 | GROUND_INST: instantiating (48) with all_145_2, all_155_2, true, true,
% 73.66/10.90 | simplifying with (442), (447) gives:
% 73.66/10.90 | (472) all_155_2 = all_145_2
% 73.66/10.90 |
% 73.66/10.90 | GROUND_INST: instantiating (48) with all_151_2, all_157_2, true, true,
% 73.66/10.90 | simplifying with (441), (444) gives:
% 73.66/10.90 | (473) all_157_2 = all_151_2
% 73.66/10.90 |
% 73.66/10.90 | GROUND_INST: instantiating (48) with all_149_2, all_157_2, true, true,
% 73.66/10.90 | simplifying with (441), (445) gives:
% 73.66/10.90 | (474) all_157_2 = all_149_2
% 73.66/10.90 |
% 73.66/10.90 | GROUND_INST: instantiating (48) with all_141_2, all_157_2, true, true,
% 73.66/10.90 | simplifying with (441), (449) gives:
% 73.66/10.90 | (475) all_157_2 = all_141_2
% 73.66/10.90 |
% 73.66/10.90 | GROUND_INST: instantiating (48) with all_131_1, all_157_2, true, true,
% 73.66/10.90 | simplifying with (441), (451) gives:
% 73.66/10.90 | (476) all_157_2 = all_131_1
% 73.66/10.90 |
% 73.66/10.90 | GROUND_INST: instantiating (48) with all_129_1, all_157_2, true, true,
% 73.66/10.90 | simplifying with (441), (452) gives:
% 73.66/10.90 | (477) all_157_2 = all_129_1
% 73.66/10.90 |
% 73.66/10.90 | GROUND_INST: instantiating (48) with all_149_2, all_159_2, true, true,
% 73.66/10.90 | simplifying with (440), (445) gives:
% 73.66/10.90 | (478) all_159_2 = all_149_2
% 73.66/10.90 |
% 73.66/10.90 | GROUND_INST: instantiating (48) with all_121_1, all_159_2, true, true,
% 73.66/10.90 | simplifying with (440), (456) gives:
% 73.66/10.90 | (479) all_159_2 = all_121_1
% 73.66/10.90 |
% 73.66/10.90 | COMBINE_EQS: (462), (464) imply:
% 73.66/10.90 | (480) all_153_2 = all_127_1
% 73.66/10.90 |
% 73.66/10.90 | COMBINE_EQS: (462), (463) imply:
% 73.66/10.90 | (481) all_153_2 = all_147_2
% 73.66/10.90 |
% 73.66/10.90 | COMBINE_EQS: (478), (479) imply:
% 73.66/10.90 | (482) all_149_2 = all_121_1
% 73.66/10.90 |
% 73.66/10.90 | SIMP: (482) implies:
% 73.66/10.90 | (483) all_149_2 = all_121_1
% 73.66/10.90 |
% 73.66/10.90 | COMBINE_EQS: (475), (477) imply:
% 73.66/10.90 | (484) all_141_2 = all_129_1
% 73.66/10.90 |
% 73.66/10.90 | COMBINE_EQS: (474), (475) imply:
% 73.66/10.90 | (485) all_149_2 = all_141_2
% 73.66/10.90 |
% 73.66/10.90 | SIMP: (485) implies:
% 73.66/10.90 | (486) all_149_2 = all_141_2
% 73.66/10.90 |
% 73.66/10.90 | COMBINE_EQS: (473), (475) imply:
% 73.66/10.90 | (487) all_151_2 = all_141_2
% 73.66/10.90 |
% 73.66/10.90 | SIMP: (487) implies:
% 73.66/10.90 | (488) all_151_2 = all_141_2
% 73.66/10.90 |
% 73.66/10.90 | COMBINE_EQS: (475), (476) imply:
% 73.66/10.90 | (489) all_141_2 = all_131_1
% 73.66/10.90 |
% 73.66/10.90 | COMBINE_EQS: (471), (472) imply:
% 73.66/10.90 | (490) all_145_2 = true
% 73.66/10.90 |
% 73.66/10.90 | SIMP: (490) implies:
% 73.66/10.90 | (491) all_145_2 = true
% 73.66/10.90 |
% 73.66/10.90 | COMBINE_EQS: (480), (481) imply:
% 73.66/10.90 | (492) all_147_2 = all_127_1
% 73.66/10.90 |
% 73.66/10.90 | SIMP: (492) implies:
% 73.66/10.90 | (493) all_147_2 = all_127_1
% 73.66/10.90 |
% 73.66/10.90 | COMBINE_EQS: (470), (488) imply:
% 73.66/10.90 | (494) all_141_2 = all_125_1
% 73.66/10.90 |
% 73.66/10.90 | SIMP: (494) implies:
% 73.66/10.90 | (495) all_141_2 = all_125_1
% 73.66/10.90 |
% 73.66/10.90 | COMBINE_EQS: (483), (486) imply:
% 73.66/10.90 | (496) all_141_2 = all_121_1
% 73.66/10.90 |
% 73.66/10.90 | SIMP: (496) implies:
% 73.66/10.90 | (497) all_141_2 = all_121_1
% 73.66/10.90 |
% 73.66/10.90 | COMBINE_EQS: (469), (483) imply:
% 73.66/10.90 | (498) all_121_1 = all_119_1
% 73.66/10.90 |
% 73.66/10.90 | COMBINE_EQS: (461), (493) imply:
% 73.66/10.90 | (499) all_139_2 = all_127_1
% 73.66/10.90 |
% 73.66/10.90 | SIMP: (499) implies:
% 73.66/10.90 | (500) all_139_2 = all_127_1
% 73.66/10.90 |
% 73.66/10.90 | COMBINE_EQS: (468), (491) imply:
% 73.66/10.90 | (501) all_123_1 = true
% 73.66/10.90 |
% 73.66/10.90 | SIMP: (501) implies:
% 73.66/10.90 | (502) all_123_1 = true
% 73.66/10.90 |
% 73.66/10.90 | COMBINE_EQS: (466), (467) imply:
% 73.66/10.90 | (503) all_129_1 = all_115_1
% 73.66/10.90 |
% 73.66/10.90 | SIMP: (503) implies:
% 73.66/10.90 | (504) all_129_1 = all_115_1
% 73.66/10.90 |
% 73.66/10.90 | COMBINE_EQS: (489), (495) imply:
% 73.66/10.90 | (505) all_131_1 = all_125_1
% 73.66/10.90 |
% 73.66/10.90 | COMBINE_EQS: (489), (497) imply:
% 73.66/10.90 | (506) all_131_1 = all_121_1
% 73.66/10.90 |
% 73.66/10.90 | COMBINE_EQS: (484), (489) imply:
% 73.66/10.90 | (507) all_131_1 = all_129_1
% 73.66/10.90 |
% 73.66/10.90 | COMBINE_EQS: (460), (500) imply:
% 73.66/10.90 | (508) all_127_1 = false
% 73.66/10.90 |
% 73.66/10.90 | COMBINE_EQS: (505), (507) imply:
% 73.66/10.90 | (509) all_129_1 = all_125_1
% 73.66/10.90 |
% 73.66/10.90 | SIMP: (509) implies:
% 73.66/10.90 | (510) all_129_1 = all_125_1
% 73.66/10.90 |
% 73.66/10.90 | COMBINE_EQS: (505), (506) imply:
% 73.66/10.90 | (511) all_125_1 = all_121_1
% 73.66/10.90 |
% 73.66/10.90 | COMBINE_EQS: (504), (510) imply:
% 73.66/10.90 | (512) all_125_1 = all_115_1
% 73.66/10.90 |
% 73.66/10.90 | SIMP: (512) implies:
% 73.66/10.90 | (513) all_125_1 = all_115_1
% 73.66/10.90 |
% 73.66/10.90 | COMBINE_EQS: (511), (513) imply:
% 73.66/10.90 | (514) all_121_1 = all_115_1
% 73.66/10.90 |
% 73.66/10.90 | SIMP: (514) implies:
% 73.66/10.90 | (515) all_121_1 = all_115_1
% 73.66/10.90 |
% 73.66/10.90 | COMBINE_EQS: (465), (502) imply:
% 73.66/10.91 | (516) all_119_1 = true
% 73.66/10.91 |
% 73.66/10.91 | SIMP: (516) implies:
% 73.66/10.91 | (517) all_119_1 = true
% 73.66/10.91 |
% 73.66/10.91 | COMBINE_EQS: (498), (515) imply:
% 73.66/10.91 | (518) all_119_1 = all_115_1
% 73.66/10.91 |
% 73.66/10.91 | SIMP: (518) implies:
% 73.66/10.91 | (519) all_119_1 = all_115_1
% 73.66/10.91 |
% 73.66/10.91 | COMBINE_EQS: (517), (519) imply:
% 73.66/10.91 | (520) all_115_1 = true
% 73.66/10.91 |
% 73.66/10.91 | SIMP: (520) implies:
% 73.66/10.91 | (521) all_115_1 = true
% 73.66/10.91 |
% 73.66/10.91 | COMBINE_EQS: (513), (521) imply:
% 73.66/10.91 | (522) all_125_1 = true
% 73.66/10.91 |
% 73.66/10.91 | COMBINE_EQS: (505), (522) imply:
% 73.66/10.91 | (523) all_131_1 = true
% 73.66/10.91 |
% 73.66/10.91 | COMBINE_EQS: (489), (523) imply:
% 73.66/10.91 | (524) all_141_2 = true
% 73.66/10.91 |
% 73.66/10.91 | COMBINE_EQS: (467), (521) imply:
% 73.66/10.91 | (525) all_143_2 = true
% 73.66/10.91 |
% 73.66/10.91 | REDUCE: (250), (502) imply:
% 73.66/10.91 | (526) f3(true, false, false) = true
% 73.66/10.91 |
% 73.66/10.91 | REDUCE: (258), (508) imply:
% 73.66/10.91 | (527) f3(false, false, false) = false
% 73.66/10.91 |
% 73.66/10.91 | REDUCE: (282), (524) imply:
% 73.66/10.91 | (528) f2(true, true, true) = true
% 73.66/10.91 |
% 73.66/10.91 | REDUCE: (287), (525) imply:
% 73.66/10.91 | (529) f2(true, true, false) = true
% 73.66/10.91 |
% 73.66/10.91 | REDUCE: (277), (460) imply:
% 73.66/10.91 | (530) f2(true, false, false) = false
% 73.66/10.91 |
% 73.66/10.91 | GROUND_INST: instantiating (12) with false2, all_111_0, simplifying with (71),
% 73.66/10.91 | (231) gives:
% 73.66/10.91 | (531) ? [v0: $i] : (phi(false2) = v0 & $i(v0) & ((v0 = false2 & all_111_0
% 73.66/10.91 | = 0) | (v0 = err & ~ (all_111_0 = 0))))
% 73.66/10.91 |
% 73.66/10.91 | GROUND_INST: instantiating (12) with all_55_0, all_133_0, simplifying with
% 73.66/10.91 | (81), (266) gives:
% 73.66/10.91 | (532) ? [v0: $i] : (phi(all_55_0) = v0 & $i(v0) & ((v0 = all_55_0 &
% 73.66/10.91 | all_133_0 = 0) | (v0 = err & ~ (all_133_0 = 0))))
% 73.66/10.91 |
% 73.66/10.91 | GROUND_INST: instantiating (62) with false, false, simplifying with (35),
% 73.66/10.91 | (438) gives:
% 73.66/10.91 | (533) ? [v0: int] : ( ~ (v0 = 0) & forallprefers(false, all_44_0) = v0)
% 73.66/10.91 |
% 73.66/10.91 | GROUND_INST: instantiating (33) with false2, all_117_0, simplifying with (71),
% 73.66/10.91 | (240) gives:
% 73.66/10.91 | (534) ? [v0: any] : ? [v1: $i] : (phi(false2) = v1 & bool(false2) = v0 &
% 73.66/10.91 | $i(v1) & (v1 = all_117_0 | v0 = 0))
% 73.66/10.91 |
% 73.66/10.91 | GROUND_INST: instantiating (33) with all_55_0, all_135_0, simplifying with
% 73.66/10.91 | (81), (269) gives:
% 73.66/10.91 | (535) ? [v0: any] : ? [v1: $i] : (phi(all_55_0) = v1 & bool(all_55_0) =
% 73.66/10.91 | v0 & $i(v1) & (v1 = all_135_0 | v0 = 0))
% 73.66/10.91 |
% 73.66/10.91 | DELTA: instantiating (533) with fresh symbol all_178_0 gives:
% 73.66/10.91 | (536) ~ (all_178_0 = 0) & forallprefers(false, all_44_0) = all_178_0
% 73.66/10.91 |
% 73.66/10.91 | ALPHA: (536) implies:
% 73.66/10.91 | (537) ~ (all_178_0 = 0)
% 73.66/10.91 | (538) forallprefers(false, all_44_0) = all_178_0
% 73.66/10.91 |
% 73.66/10.91 | DELTA: instantiating (535) with fresh symbols all_180_0, all_180_1 gives:
% 73.66/10.91 | (539) phi(all_55_0) = all_180_0 & bool(all_55_0) = all_180_1 &
% 73.66/10.91 | $i(all_180_0) & (all_180_0 = all_135_0 | all_180_1 = 0)
% 73.66/10.91 |
% 73.66/10.91 | ALPHA: (539) implies:
% 73.66/10.91 | (540) $i(all_180_0)
% 73.66/10.91 | (541) phi(all_55_0) = all_180_0
% 73.66/10.91 |
% 73.66/10.91 | DELTA: instantiating (534) with fresh symbols all_182_0, all_182_1 gives:
% 73.66/10.91 | (542) phi(false2) = all_182_0 & bool(false2) = all_182_1 & $i(all_182_0) &
% 73.66/10.91 | (all_182_0 = all_117_0 | all_182_1 = 0)
% 73.66/10.91 |
% 73.66/10.91 | ALPHA: (542) implies:
% 73.66/10.91 | (543) $i(all_182_0)
% 73.66/10.91 | (544) bool(false2) = all_182_1
% 73.66/10.91 | (545) phi(false2) = all_182_0
% 73.66/10.91 |
% 73.66/10.91 | DELTA: instantiating (532) with fresh symbol all_184_0 gives:
% 73.66/10.91 | (546) phi(all_55_0) = all_184_0 & $i(all_184_0) & ((all_184_0 = all_55_0 &
% 73.66/10.91 | all_133_0 = 0) | (all_184_0 = err & ~ (all_133_0 = 0)))
% 73.66/10.91 |
% 73.66/10.91 | ALPHA: (546) implies:
% 73.66/10.91 | (547) phi(all_55_0) = all_184_0
% 73.66/10.91 |
% 73.66/10.91 | DELTA: instantiating (531) with fresh symbol all_186_0 gives:
% 73.66/10.91 | (548) phi(false2) = all_186_0 & $i(all_186_0) & ((all_186_0 = false2 &
% 73.66/10.91 | all_111_0 = 0) | (all_186_0 = err & ~ (all_111_0 = 0)))
% 73.66/10.91 |
% 73.66/10.91 | ALPHA: (548) implies:
% 73.66/10.91 | (549) phi(false2) = all_186_0
% 73.66/10.91 |
% 73.66/10.91 | GROUND_INST: instantiating (40) with all_95_1, all_182_1, false2, simplifying
% 73.66/10.91 | with (166), (544) gives:
% 73.66/10.91 | (550) all_182_1 = all_95_1
% 73.66/10.91 |
% 73.66/10.91 | GROUND_INST: instantiating (42) with all_95_0, all_186_0, false2, simplifying
% 73.66/10.91 | with (168), (549) gives:
% 73.66/10.91 | (551) all_186_0 = all_95_0
% 73.66/10.91 |
% 73.66/10.91 | GROUND_INST: instantiating (42) with all_182_0, all_186_0, false2, simplifying
% 73.66/10.91 | with (545), (549) gives:
% 73.66/10.91 | (552) all_186_0 = all_182_0
% 73.66/10.91 |
% 73.66/10.91 | GROUND_INST: instantiating (42) with all_87_0, all_184_0, all_55_0,
% 73.66/10.91 | simplifying with (154), (547) gives:
% 73.66/10.91 | (553) all_184_0 = all_87_0
% 73.66/10.91 |
% 73.66/10.91 | GROUND_INST: instantiating (42) with all_180_0, all_184_0, all_55_0,
% 73.66/10.91 | simplifying with (541), (547) gives:
% 73.66/10.91 | (554) all_184_0 = all_180_0
% 73.66/10.91 |
% 73.66/10.91 | COMBINE_EQS: (551), (552) imply:
% 73.66/10.91 | (555) all_182_0 = all_95_0
% 73.66/10.91 |
% 73.66/10.91 | COMBINE_EQS: (553), (554) imply:
% 73.66/10.91 | (556) all_180_0 = all_87_0
% 73.66/10.91 |
% 73.66/10.91 | REDUCE: (543), (555) imply:
% 73.66/10.91 | (557) $i(all_95_0)
% 73.66/10.91 |
% 73.66/10.91 | REDUCE: (540), (556) imply:
% 73.66/10.91 | (558) $i(all_87_0)
% 73.66/10.91 |
% 73.66/10.91 | BETA: splitting (87) gives:
% 73.66/10.91 |
% 73.66/10.91 | Case 1:
% 73.66/10.91 | |
% 73.66/10.91 | | (559) all_57_1 = 0
% 73.66/10.91 | |
% 73.66/10.91 | | REDUCE: (85), (559) imply:
% 73.66/10.91 | | (560) bool(all_44_0) = 0
% 73.66/10.91 | |
% 73.66/10.91 | | BETA: splitting (91) gives:
% 73.66/10.91 | |
% 73.66/10.91 | | Case 1:
% 73.66/10.91 | | |
% 73.66/10.91 | | | (561) all_59_1 = 0
% 73.66/10.91 | | |
% 73.66/10.91 | | | COMBINE_EQS: (184), (561) imply:
% 73.66/10.91 | | | (562) all_95_2 = 0
% 73.66/10.91 | | |
% 73.66/10.91 | | | REDUCE: (89), (561) imply:
% 73.66/10.91 | | | (563) bool(all_42_2) = 0
% 73.66/10.91 | | |
% 73.66/10.91 | | | BETA: splitting (98) gives:
% 73.66/10.91 | | |
% 73.66/10.91 | | | Case 1:
% 73.66/10.91 | | | |
% 73.66/10.91 | | | | (564) all_63_0 = 0 & all_44_0 = false2
% 73.66/10.91 | | | |
% 73.66/10.91 | | | | ALPHA: (564) implies:
% 73.66/10.91 | | | | (565) all_44_0 = false2
% 73.66/10.91 | | | | (566) all_63_0 = 0
% 73.66/10.91 | | | |
% 73.66/10.91 | | | | REDUCE: (86), (565) imply:
% 73.66/10.91 | | | | (567) not1(false2) = all_57_0
% 73.66/10.91 | | | |
% 73.66/10.91 | | | | REDUCE: (61), (565) imply:
% 73.66/10.91 | | | | (568) f7(all_44_1) = false2
% 73.66/10.91 | | | |
% 73.66/10.91 | | | | REDUCE: (69), (565) imply:
% 73.66/10.91 | | | | (569) lazy_and1(true, false2) = false2
% 73.66/10.91 | | | |
% 73.66/10.91 | | | | REDUCE: (83), (565) imply:
% 73.66/10.92 | | | | (570) lazy_impl(all_55_0, all_44_1) = false2
% 73.66/10.92 | | | |
% 73.66/10.92 | | | | REDUCE: (538), (565) imply:
% 73.66/10.92 | | | | (571) forallprefers(false, false2) = all_178_0
% 73.66/10.92 | | | |
% 73.66/10.92 | | | | REDUCE: (97), (565), (566) imply:
% 73.66/10.92 | | | | (572) d(false2) = 0
% 73.66/10.92 | | | |
% 73.66/10.92 | | | | REDUCE: (560), (565) imply:
% 73.66/10.92 | | | | (573) bool(false2) = 0
% 73.66/10.92 | | | |
% 73.66/10.92 | | | | GROUND_INST: instantiating (40) with all_95_1, 0, false2, simplifying
% 73.66/10.92 | | | | with (166), (573) gives:
% 73.66/10.92 | | | | (574) all_95_1 = 0
% 73.66/10.92 | | | |
% 73.66/10.92 | | | | GROUND_INST: instantiating (41) with all_111_0, 0, false2, simplifying
% 73.66/10.92 | | | | with (231), (572) gives:
% 73.66/10.92 | | | | (575) all_111_0 = 0
% 73.66/10.92 | | | |
% 73.66/10.92 | | | | GROUND_INST: instantiating (49) with all_95_0, false2, false2, true,
% 73.66/10.92 | | | | simplifying with (192), (569) gives:
% 73.66/10.92 | | | | (576) all_95_0 = false2
% 73.66/10.92 | | | |
% 73.66/10.92 | | | | GROUND_INST: instantiating (45) with all_117_0, all_57_0, false2,
% 73.66/10.92 | | | | simplifying with (240), (567) gives:
% 73.66/10.92 | | | | (577) all_117_0 = all_57_0
% 73.66/10.92 | | | |
% 73.66/10.92 | | | | REDUCE: (194), (576) imply:
% 73.66/10.92 | | | | (578) lazy_impl(true, false2) = false2
% 73.66/10.92 | | | |
% 73.66/10.92 | | | | BETA: splitting (131) gives:
% 73.66/10.92 | | | |
% 73.66/10.92 | | | | Case 1:
% 73.66/10.92 | | | | |
% 73.66/10.92 | | | | | (579) bool(all_44_1) = 0
% 73.66/10.92 | | | | |
% 73.66/10.92 | | | | | BETA: splitting (130) gives:
% 73.66/10.92 | | | | |
% 73.66/10.92 | | | | | Case 1:
% 73.66/10.92 | | | | | |
% 73.66/10.92 | | | | | | (580) all_55_0 = true
% 73.66/10.92 | | | | | |
% 73.66/10.92 | | | | | | REDUCE: (269), (580) imply:
% 73.66/10.92 | | | | | | (581) not1(true) = all_135_0
% 73.66/10.92 | | | | | |
% 73.66/10.92 | | | | | | REDUCE: (198), (580) imply:
% 73.66/10.92 | | | | | | (582) lazy_and1(true, true) = all_87_0
% 73.66/10.92 | | | | | |
% 73.66/10.92 | | | | | | REDUCE: (570), (580) imply:
% 73.66/10.92 | | | | | | (583) lazy_impl(true, all_44_1) = false2
% 73.66/10.92 | | | | | |
% 73.66/10.92 | | | | | | REDUCE: (200), (580) imply:
% 73.66/10.92 | | | | | | (584) lazy_impl(true, true) = all_87_0
% 73.66/10.92 | | | | | |
% 73.66/10.92 | | | | | | REDUCE: (82), (580) imply:
% 73.66/10.92 | | | | | | (585) prop(all_44_1) = true
% 73.66/10.92 | | | | | |
% 73.66/10.92 | | | | | | GROUND_INST: instantiating (49) with true, all_87_0, true, true,
% 73.66/10.92 | | | | | | simplifying with (121), (582) gives:
% 73.66/10.92 | | | | | | (586) all_87_0 = true
% 73.66/10.92 | | | | | |
% 73.66/10.92 | | | | | | GROUND_INST: instantiating (45) with false, all_135_0, true,
% 73.66/10.92 | | | | | | simplifying with (37), (581) gives:
% 73.66/10.92 | | | | | | (587) all_135_0 = false
% 73.66/10.92 | | | | | |
% 73.66/10.92 | | | | | | GROUND_INST: instantiating (21) with false2, simplifying with (71),
% 73.66/10.92 | | | | | | (573) gives:
% 73.66/10.92 | | | | | | (588) impl(true, false2) = false2
% 73.66/10.92 | | | | | |
% 73.66/10.92 | | | | | | GROUND_INST: instantiating (20) with false2, simplifying with (71),
% 73.66/10.92 | | | | | | (573) gives:
% 73.66/10.92 | | | | | | (589) impl(false, false2) = true
% 73.66/10.92 | | | | | |
% 73.66/10.92 | | | | | | GROUND_INST: instantiating (14) with false2, simplifying with (71),
% 73.66/10.92 | | | | | | (573) gives:
% 73.66/10.92 | | | | | | (590) prop(false2) = true
% 73.66/10.92 | | | | | |
% 73.66/10.92 | | | | | | GROUND_INST: instantiating (17) with false2, simplifying with (71),
% 73.66/10.92 | | | | | | (573) gives:
% 73.66/10.92 | | | | | | (591) ? [v0: $i] : ( ~ (v0 = false) & prop(false2) = v0 &
% 73.66/10.92 | | | | | | $i(v0))
% 73.66/10.92 | | | | | |
% 73.66/10.92 | | | | | | GROUND_INST: instantiating (3) with all_42_2, simplifying with (54),
% 73.66/10.92 | | | | | | (563) gives:
% 73.66/10.92 | | | | | | (592) all_42_2 = true | all_42_2 = false
% 73.66/10.92 | | | | | |
% 73.66/10.92 | | | | | | GROUND_INST: instantiating (21) with all_42_2, simplifying with
% 73.66/10.92 | | | | | | (54), (563) gives:
% 73.66/10.92 | | | | | | (593) impl(true, all_42_2) = all_42_2
% 73.66/10.92 | | | | | |
% 73.66/10.92 | | | | | | GROUND_INST: instantiating (20) with all_42_2, simplifying with
% 73.66/10.92 | | | | | | (54), (563) gives:
% 73.66/10.92 | | | | | | (594) impl(false, all_42_2) = true
% 73.66/10.92 | | | | | |
% 73.66/10.92 | | | | | | GROUND_INST: instantiating (14) with all_42_2, simplifying with
% 73.66/10.92 | | | | | | (54), (563) gives:
% 73.66/10.92 | | | | | | (595) prop(all_42_2) = true
% 73.66/10.92 | | | | | |
% 73.66/10.92 | | | | | | GROUND_INST: instantiating (17) with all_42_2, simplifying with
% 73.66/10.92 | | | | | | (54), (563) gives:
% 73.66/10.92 | | | | | | (596) ? [v0: $i] : ( ~ (v0 = false) & prop(all_42_2) = v0 &
% 73.66/10.92 | | | | | | $i(v0))
% 73.66/10.92 | | | | | |
% 73.66/10.92 | | | | | | GROUND_INST: instantiating (3) with all_44_1, simplifying with (58),
% 73.66/10.92 | | | | | | (579) gives:
% 73.66/10.92 | | | | | | (597) all_44_1 = true | all_44_1 = false
% 73.66/10.92 | | | | | |
% 73.66/10.92 | | | | | | GROUND_INST: instantiating (21) with all_44_1, simplifying with
% 73.66/10.92 | | | | | | (58), (579) gives:
% 73.66/10.92 | | | | | | (598) impl(true, all_44_1) = all_44_1
% 73.66/10.92 | | | | | |
% 73.66/10.92 | | | | | | GROUND_INST: instantiating (20) with all_44_1, simplifying with
% 73.66/10.92 | | | | | | (58), (579) gives:
% 73.66/10.92 | | | | | | (599) impl(false, all_44_1) = true
% 73.66/10.92 | | | | | |
% 73.66/10.92 | | | | | | GROUND_INST: instantiating (24) with all_44_1, false2, simplifying
% 73.66/10.92 | | | | | | with (58), (583) gives:
% 73.66/10.92 | | | | | | (600) phi(all_44_1) = false2 & $i(false2)
% 73.66/10.92 | | | | | |
% 73.66/10.92 | | | | | | ALPHA: (600) implies:
% 73.66/10.92 | | | | | | (601) phi(all_44_1) = false2
% 73.66/10.92 | | | | | |
% 73.66/10.92 | | | | | | DELTA: instantiating (591) with fresh symbol all_238_0 gives:
% 73.66/10.92 | | | | | | (602) ~ (all_238_0 = false) & prop(false2) = all_238_0 &
% 73.66/10.92 | | | | | | $i(all_238_0)
% 73.66/10.92 | | | | | |
% 73.66/10.92 | | | | | | ALPHA: (602) implies:
% 73.66/10.92 | | | | | | (603) $i(all_238_0)
% 73.66/10.92 | | | | | | (604) prop(false2) = all_238_0
% 73.66/10.92 | | | | | |
% 73.66/10.92 | | | | | | DELTA: instantiating (596) with fresh symbol all_240_0 gives:
% 73.66/10.92 | | | | | | (605) ~ (all_240_0 = false) & prop(all_42_2) = all_240_0 &
% 73.66/10.92 | | | | | | $i(all_240_0)
% 73.66/10.92 | | | | | |
% 73.66/10.92 | | | | | | ALPHA: (605) implies:
% 73.66/10.92 | | | | | | (606) prop(all_42_2) = all_240_0
% 73.66/10.92 | | | | | |
% 73.66/10.92 | | | | | | GROUND_INST: instantiating (43) with true, all_238_0, false2,
% 73.66/10.92 | | | | | | simplifying with (590), (604) gives:
% 73.66/10.92 | | | | | | (607) all_238_0 = true
% 73.66/10.92 | | | | | |
% 73.66/10.92 | | | | | | GROUND_INST: instantiating (43) with true, all_240_0, all_42_2,
% 73.66/10.92 | | | | | | simplifying with (595), (606) gives:
% 73.66/10.92 | | | | | | (608) all_240_0 = true
% 73.66/10.92 | | | | | |
% 73.66/10.92 | | | | | | BETA: splitting (144) gives:
% 73.66/10.92 | | | | | |
% 73.66/10.92 | | | | | | Case 1:
% 73.66/10.92 | | | | | | |
% 73.66/10.92 | | | | | | | (609) all_81_0 = 0 & all_59_0 = all_42_2
% 73.66/10.92 | | | | | | |
% 73.66/10.92 | | | | | | | ALPHA: (609) implies:
% 73.66/10.92 | | | | | | | (610) all_59_0 = all_42_2
% 73.66/10.92 | | | | | | |
% 73.66/10.92 | | | | | | | REDUCE: (129), (610) imply:
% 73.66/10.92 | | | | | | | (611) lazy_impl(true, all_42_2) = all_42_2
% 73.66/10.92 | | | | | | |
% 73.66/10.92 | | | | | | | GROUND_INST: instantiating (32) with all_44_1, false2, simplifying
% 73.66/10.92 | | | | | | | with (58), (601) gives:
% 74.22/10.93 | | | | | | | (612) ? [v0: any] : ? [v1: $i] : (not1(all_44_1) = v1 &
% 74.22/10.93 | | | | | | | bool(all_44_1) = v0 & $i(v1) & (v1 = false2 | v0 = 0))
% 74.22/10.93 | | | | | | |
% 74.22/10.93 | | | | | | | GROUND_INST: instantiating (26) with all_44_1, false2, simplifying
% 74.22/10.93 | | | | | | | with (58), (601) gives:
% 74.22/10.93 | | | | | | | (613) lazy_and1(true, all_44_1) = false2 & $i(false2)
% 74.22/10.93 | | | | | | |
% 74.22/10.93 | | | | | | | GROUND_INST: instantiating (29) with all_42_2, true, simplifying
% 74.22/10.93 | | | | | | | with (54), (595) gives:
% 74.22/10.93 | | | | | | | (614) ? [v0: $i] : (f7(all_42_2) = v0 & lazy_impl(true,
% 74.22/10.93 | | | | | | | all_42_2) = v0 & $i(v0))
% 74.22/10.93 | | | | | | |
% 74.22/10.93 | | | | | | | GROUND_INST: instantiating (25) with true, false, false2, true,
% 74.22/10.93 | | | | | | | true, simplifying with (35), (36), (71), (113), (589)
% 74.22/10.93 | | | | | | | gives:
% 74.22/10.93 | | | | | | | (615) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(true,
% 74.22/10.93 | | | | | | | false, false2) = v0 & lazy_impl(v1, v2) = v0 &
% 74.22/10.93 | | | | | | | impl(true, false2) = v2 & prop(false2) = v1 & $i(v2) &
% 74.22/10.93 | | | | | | | $i(v1) & $i(v0))
% 74.22/10.93 | | | | | | |
% 74.22/10.93 | | | | | | | GROUND_INST: instantiating (25) with false, false, false2, true,
% 74.22/10.93 | | | | | | | true, simplifying with (35), (71), (114), (589)
% 74.22/10.93 | | | | | | | gives:
% 74.22/10.93 | | | | | | | (616) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(false,
% 74.22/10.93 | | | | | | | false, false2) = v0 & lazy_impl(v1, v2) = v0 &
% 74.22/10.93 | | | | | | | impl(true, false2) = v2 & prop(false2) = v1 & $i(v2) &
% 74.22/10.93 | | | | | | | $i(v1) & $i(v0))
% 74.22/10.93 | | | | | | |
% 74.22/10.93 | | | | | | | GROUND_INST: instantiating (27) with true, false, false2, true,
% 74.22/10.93 | | | | | | | true, simplifying with (35), (36), (71), (122), (589)
% 74.22/10.93 | | | | | | | gives:
% 74.22/10.93 | | | | | | | (617) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true,
% 74.22/10.93 | | | | | | | false, false2) = v0 & lazy_impl(v1, v2) = v0 &
% 74.22/10.93 | | | | | | | impl(true, false2) = v2 & prop(false2) = v1 & $i(v2) &
% 74.22/10.93 | | | | | | | $i(v1) & $i(v0))
% 74.22/10.93 | | | | | | |
% 74.22/10.93 | | | | | | | GROUND_INST: instantiating (38) with false, true, simplifying with
% 74.22/10.93 | | | | | | | (35), (589) gives:
% 74.22/10.93 | | | | | | | (618) not2(false) = true & $i(true)
% 74.22/10.93 | | | | | | |
% 74.22/10.93 | | | | | | | GROUND_INST: instantiating (25) with true, false, all_42_2, true,
% 74.22/10.93 | | | | | | | true, simplifying with (35), (36), (54), (113), (594)
% 74.22/10.93 | | | | | | | gives:
% 74.22/10.93 | | | | | | | (619) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(true,
% 74.22/10.93 | | | | | | | false, all_42_2) = v0 & lazy_impl(v1, v2) = v0 &
% 74.22/10.93 | | | | | | | impl(true, all_42_2) = v2 & prop(all_42_2) = v1 &
% 74.22/10.93 | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.22/10.93 | | | | | | |
% 74.22/10.93 | | | | | | | GROUND_INST: instantiating (25) with false, false, all_42_2, true,
% 74.22/10.93 | | | | | | | true, simplifying with (35), (54), (114), (594)
% 74.22/10.93 | | | | | | | gives:
% 74.22/10.93 | | | | | | | (620) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(false,
% 74.22/10.93 | | | | | | | false, all_42_2) = v0 & lazy_impl(v1, v2) = v0 &
% 74.22/10.93 | | | | | | | impl(true, all_42_2) = v2 & prop(all_42_2) = v1 &
% 74.22/10.93 | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.22/10.93 | | | | | | |
% 74.22/10.93 | | | | | | | GROUND_INST: instantiating (27) with true, false, all_42_2, true,
% 74.22/10.93 | | | | | | | true, simplifying with (35), (36), (54), (122), (594)
% 74.22/10.93 | | | | | | | gives:
% 74.22/10.93 | | | | | | | (621) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true,
% 74.22/10.93 | | | | | | | false, all_42_2) = v0 & lazy_impl(v1, v2) = v0 &
% 74.22/10.93 | | | | | | | impl(true, all_42_2) = v2 & prop(all_42_2) = v1 &
% 74.22/10.93 | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.22/10.93 | | | | | | |
% 74.22/10.93 | | | | | | | GROUND_INST: instantiating (25) with true, false, all_44_1, true,
% 74.22/10.93 | | | | | | | true, simplifying with (35), (36), (58), (113), (599)
% 74.22/10.93 | | | | | | | gives:
% 74.22/10.93 | | | | | | | (622) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(true,
% 74.22/10.93 | | | | | | | false, all_44_1) = v0 & lazy_impl(v1, v2) = v0 &
% 74.22/10.93 | | | | | | | impl(true, all_44_1) = v2 & prop(all_44_1) = v1 &
% 74.22/10.93 | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.22/10.93 | | | | | | |
% 74.22/10.93 | | | | | | | GROUND_INST: instantiating (25) with false, false, all_44_1, true,
% 74.22/10.93 | | | | | | | true, simplifying with (35), (58), (114), (599)
% 74.22/10.93 | | | | | | | gives:
% 74.22/10.93 | | | | | | | (623) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(false,
% 74.22/10.93 | | | | | | | false, all_44_1) = v0 & lazy_impl(v1, v2) = v0 &
% 74.22/10.93 | | | | | | | impl(true, all_44_1) = v2 & prop(all_44_1) = v1 &
% 74.22/10.93 | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.22/10.93 | | | | | | |
% 74.22/10.93 | | | | | | | GROUND_INST: instantiating (27) with true, false, all_44_1, true,
% 74.22/10.93 | | | | | | | true, simplifying with (35), (36), (58), (122), (599)
% 74.22/10.93 | | | | | | | gives:
% 74.22/10.93 | | | | | | | (624) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true,
% 74.22/10.93 | | | | | | | false, all_44_1) = v0 & lazy_impl(v1, v2) = v0 &
% 74.22/10.93 | | | | | | | impl(true, all_44_1) = v2 & prop(all_44_1) = v1 &
% 74.22/10.93 | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.22/10.93 | | | | | | |
% 74.22/10.93 | | | | | | | GROUND_INST: instantiating (25) with all_42_2, true, false2,
% 74.22/10.93 | | | | | | | false2, all_42_0, simplifying with (36), (54), (71),
% 74.22/10.93 | | | | | | | (79), (588) gives:
% 74.22/10.93 | | | | | | | (625) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(all_42_2,
% 74.22/10.93 | | | | | | | true, false2) = v0 & lazy_impl(v1, v2) = v0 &
% 74.22/10.93 | | | | | | | impl(all_42_0, false2) = v2 & prop(false2) = v1 &
% 74.22/10.93 | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.22/10.93 | | | | | | |
% 74.22/10.93 | | | | | | | GROUND_INST: instantiating (28) with false, false, false2, true,
% 74.22/10.93 | | | | | | | true, false2, false2, simplifying with (35), (71),
% 74.22/10.93 | | | | | | | (588), (589) gives:
% 74.22/10.93 | | | | | | | (626) ? [v0: $i] : ? [v1: $i] : (f3(false, false, false2) =
% 74.22/10.93 | | | | | | | v0 & lazy_impl(v1, false2) = v0 & prop(false2) = v1 &
% 74.22/10.93 | | | | | | | $i(v1) & $i(v0))
% 74.22/10.93 | | | | | | |
% 74.22/10.93 | | | | | | | GROUND_INST: instantiating (25) with true, true, false2, false2,
% 74.22/10.93 | | | | | | | false2, simplifying with (36), (71), (588) gives:
% 74.22/10.93 | | | | | | | (627) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(true, true,
% 74.22/10.93 | | | | | | | false2) = v0 & lazy_impl(v1, v2) = v0 & impl(false2,
% 74.22/10.93 | | | | | | | false2) = v2 & prop(false2) = v1 & $i(v2) & $i(v1) &
% 74.22/10.93 | | | | | | | $i(v0))
% 74.22/10.93 | | | | | | |
% 74.22/10.93 | | | | | | | GROUND_INST: instantiating (25) with false, true, false2, false2,
% 74.22/10.93 | | | | | | | true, simplifying with (35), (36), (71), (588), (589)
% 74.22/10.93 | | | | | | | gives:
% 74.22/10.93 | | | | | | | (628) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(false,
% 74.22/10.93 | | | | | | | true, false2) = v0 & lazy_impl(v1, v2) = v0 &
% 74.22/10.93 | | | | | | | impl(true, false2) = v2 & prop(false2) = v1 & $i(v2) &
% 74.22/10.93 | | | | | | | $i(v1) & $i(v0))
% 74.22/10.93 | | | | | | |
% 74.22/10.93 | | | | | | | GROUND_INST: instantiating (27) with true, true, false2, false2,
% 74.22/10.93 | | | | | | | false2, simplifying with (36), (71), (578), (588)
% 74.22/10.93 | | | | | | | gives:
% 74.22/10.94 | | | | | | | (629) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true, true,
% 74.22/10.94 | | | | | | | false2) = v0 & lazy_impl(v1, v2) = v0 & impl(false2,
% 74.22/10.94 | | | | | | | false2) = v2 & prop(false2) = v1 & $i(v2) & $i(v1) &
% 74.22/10.94 | | | | | | | $i(v0))
% 74.22/10.94 | | | | | | |
% 74.22/10.94 | | | | | | | GROUND_INST: instantiating (38) with true, false2, simplifying
% 74.22/10.94 | | | | | | | with (36), (588) gives:
% 74.22/10.94 | | | | | | | (630) not2(true) = false2 & $i(false2)
% 74.22/10.94 | | | | | | |
% 74.22/10.94 | | | | | | | ALPHA: (630) implies:
% 74.22/10.94 | | | | | | | (631) not2(true) = false2
% 74.22/10.94 | | | | | | |
% 74.22/10.94 | | | | | | | GROUND_INST: instantiating (28) with false, false, all_42_2, true,
% 74.22/10.94 | | | | | | | true, all_42_2, all_42_2, simplifying with (35),
% 74.22/10.94 | | | | | | | (54), (593), (594) gives:
% 74.22/10.94 | | | | | | | (632) ? [v0: $i] : ? [v1: $i] : (f3(false, false, all_42_2) =
% 74.22/10.94 | | | | | | | v0 & lazy_impl(v1, all_42_2) = v0 & prop(all_42_2) = v1
% 74.22/10.94 | | | | | | | & $i(v1) & $i(v0))
% 74.22/10.94 | | | | | | |
% 74.22/10.94 | | | | | | | GROUND_INST: instantiating (25) with true, true, all_42_2,
% 74.22/10.94 | | | | | | | all_42_2, all_42_2, simplifying with (36), (54),
% 74.22/10.94 | | | | | | | (593) gives:
% 74.22/10.94 | | | | | | | (633) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(true, true,
% 74.22/10.94 | | | | | | | all_42_2) = v0 & lazy_impl(v1, v2) = v0 &
% 74.22/10.94 | | | | | | | impl(all_42_2, all_42_2) = v2 & prop(all_42_2) = v1 &
% 74.22/10.94 | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.22/10.94 | | | | | | |
% 74.22/10.94 | | | | | | | GROUND_INST: instantiating (25) with false, true, all_42_2,
% 74.22/10.94 | | | | | | | all_42_2, true, simplifying with (35), (36), (54),
% 74.22/10.94 | | | | | | | (593), (594) gives:
% 74.22/10.94 | | | | | | | (634) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(false,
% 74.22/10.94 | | | | | | | true, all_42_2) = v0 & lazy_impl(v1, v2) = v0 &
% 74.22/10.94 | | | | | | | impl(true, all_42_2) = v2 & prop(all_42_2) = v1 &
% 74.22/10.94 | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.22/10.94 | | | | | | |
% 74.22/10.94 | | | | | | | GROUND_INST: instantiating (28) with false, false, all_44_1, true,
% 74.22/10.94 | | | | | | | true, all_44_1, all_44_1, simplifying with (35),
% 74.22/10.94 | | | | | | | (58), (598), (599) gives:
% 74.22/10.94 | | | | | | | (635) ? [v0: $i] : ? [v1: $i] : (f3(false, false, all_44_1) =
% 74.22/10.94 | | | | | | | v0 & lazy_impl(v1, all_44_1) = v0 & prop(all_44_1) = v1
% 74.22/10.94 | | | | | | | & $i(v1) & $i(v0))
% 74.22/10.94 | | | | | | |
% 74.22/10.94 | | | | | | | GROUND_INST: instantiating (25) with true, true, all_44_1,
% 74.22/10.94 | | | | | | | all_44_1, all_44_1, simplifying with (36), (58),
% 74.22/10.94 | | | | | | | (598) gives:
% 74.22/10.94 | | | | | | | (636) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(true, true,
% 74.22/10.94 | | | | | | | all_44_1) = v0 & lazy_impl(v1, v2) = v0 &
% 74.22/10.94 | | | | | | | impl(all_44_1, all_44_1) = v2 & prop(all_44_1) = v1 &
% 74.22/10.94 | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.22/10.94 | | | | | | |
% 74.22/10.94 | | | | | | | GROUND_INST: instantiating (25) with false, true, all_44_1,
% 74.22/10.94 | | | | | | | all_44_1, true, simplifying with (35), (36), (58),
% 74.22/10.94 | | | | | | | (598), (599) gives:
% 74.22/10.94 | | | | | | | (637) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(false,
% 74.22/10.94 | | | | | | | true, all_44_1) = v0 & lazy_impl(v1, v2) = v0 &
% 74.22/10.94 | | | | | | | impl(true, all_44_1) = v2 & prop(all_44_1) = v1 &
% 74.22/10.94 | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.22/10.94 | | | | | | |
% 74.22/10.94 | | | | | | | GROUND_INST: instantiating (27) with true, true, all_44_1,
% 74.22/10.94 | | | | | | | all_44_1, false2, simplifying with (36), (58), (583),
% 74.22/10.94 | | | | | | | (598) gives:
% 74.22/10.94 | | | | | | | (638) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true, true,
% 74.22/10.94 | | | | | | | all_44_1) = v0 & lazy_impl(v1, v2) = v0 &
% 74.22/10.94 | | | | | | | impl(false2, all_44_1) = v2 & prop(all_44_1) = v1 &
% 74.22/10.94 | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.22/10.94 | | | | | | |
% 74.22/10.94 | | | | | | | GROUND_INST: instantiating (27) with true, true, all_42_2,
% 74.22/10.94 | | | | | | | all_42_2, all_42_2, simplifying with (36), (54),
% 74.22/10.94 | | | | | | | (593), (611) gives:
% 74.22/10.94 | | | | | | | (639) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true, true,
% 74.22/10.94 | | | | | | | all_42_2) = v0 & lazy_impl(v1, v2) = v0 &
% 74.22/10.94 | | | | | | | impl(all_42_2, all_42_2) = v2 & prop(all_42_2) = v1 &
% 74.22/10.94 | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.22/10.94 | | | | | | |
% 74.22/10.94 | | | | | | | DELTA: instantiating (614) with fresh symbol all_268_0 gives:
% 74.22/10.94 | | | | | | | (640) f7(all_42_2) = all_268_0 & lazy_impl(true, all_42_2) =
% 74.22/10.94 | | | | | | | all_268_0 & $i(all_268_0)
% 74.22/10.94 | | | | | | |
% 74.22/10.94 | | | | | | | ALPHA: (640) implies:
% 74.22/10.94 | | | | | | | (641) lazy_impl(true, all_42_2) = all_268_0
% 74.22/10.94 | | | | | | |
% 74.22/10.94 | | | | | | | DELTA: instantiating (632) with fresh symbols all_274_0, all_274_1
% 74.22/10.94 | | | | | | | gives:
% 74.22/10.94 | | | | | | | (642) f3(false, false, all_42_2) = all_274_1 &
% 74.22/10.94 | | | | | | | lazy_impl(all_274_0, all_42_2) = all_274_1 &
% 74.22/10.94 | | | | | | | prop(all_42_2) = all_274_0 & $i(all_274_0) &
% 74.22/10.94 | | | | | | | $i(all_274_1)
% 74.22/10.94 | | | | | | |
% 74.22/10.94 | | | | | | | ALPHA: (642) implies:
% 74.22/10.94 | | | | | | | (643) $i(all_274_1)
% 74.22/10.94 | | | | | | | (644) $i(all_274_0)
% 74.22/10.94 | | | | | | | (645) prop(all_42_2) = all_274_0
% 74.22/10.94 | | | | | | | (646) lazy_impl(all_274_0, all_42_2) = all_274_1
% 74.22/10.94 | | | | | | |
% 74.22/10.94 | | | | | | | DELTA: instantiating (612) with fresh symbols all_278_0, all_278_1
% 74.22/10.94 | | | | | | | gives:
% 74.22/10.94 | | | | | | | (647) not1(all_44_1) = all_278_0 & bool(all_44_1) = all_278_1 &
% 74.22/10.94 | | | | | | | $i(all_278_0) & (all_278_0 = false2 | all_278_1 = 0)
% 74.22/10.94 | | | | | | |
% 74.22/10.94 | | | | | | | ALPHA: (647) implies:
% 74.22/10.94 | | | | | | | (648) not1(all_44_1) = all_278_0
% 74.22/10.94 | | | | | | |
% 74.22/10.94 | | | | | | | DELTA: instantiating (635) with fresh symbols all_280_0, all_280_1
% 74.22/10.94 | | | | | | | gives:
% 74.22/10.94 | | | | | | | (649) f3(false, false, all_44_1) = all_280_1 &
% 74.22/10.94 | | | | | | | lazy_impl(all_280_0, all_44_1) = all_280_1 &
% 74.22/10.94 | | | | | | | prop(all_44_1) = all_280_0 & $i(all_280_0) &
% 74.22/10.94 | | | | | | | $i(all_280_1)
% 74.22/10.94 | | | | | | |
% 74.22/10.94 | | | | | | | ALPHA: (649) implies:
% 74.22/10.94 | | | | | | | (650) $i(all_280_1)
% 74.22/10.94 | | | | | | | (651) prop(all_44_1) = all_280_0
% 74.22/10.94 | | | | | | | (652) lazy_impl(all_280_0, all_44_1) = all_280_1
% 74.22/10.94 | | | | | | | (653) f3(false, false, all_44_1) = all_280_1
% 74.22/10.94 | | | | | | |
% 74.22/10.94 | | | | | | | DELTA: instantiating (626) with fresh symbols all_282_0, all_282_1
% 74.22/10.94 | | | | | | | gives:
% 74.22/10.94 | | | | | | | (654) f3(false, false, false2) = all_282_1 &
% 74.22/10.94 | | | | | | | lazy_impl(all_282_0, false2) = all_282_1 & prop(false2) =
% 74.22/10.94 | | | | | | | all_282_0 & $i(all_282_0) & $i(all_282_1)
% 74.22/10.94 | | | | | | |
% 74.22/10.94 | | | | | | | ALPHA: (654) implies:
% 74.22/10.94 | | | | | | | (655) prop(false2) = all_282_0
% 74.22/10.94 | | | | | | |
% 74.22/10.94 | | | | | | | DELTA: instantiating (625) with fresh symbols all_284_0,
% 74.22/10.94 | | | | | | | all_284_1, all_284_2 gives:
% 74.22/10.94 | | | | | | | (656) f1(all_42_2, true, false2) = all_284_2 &
% 74.22/10.94 | | | | | | | lazy_impl(all_284_1, all_284_0) = all_284_2 &
% 74.22/10.94 | | | | | | | impl(all_42_0, false2) = all_284_0 & prop(false2) =
% 74.22/10.94 | | | | | | | all_284_1 & $i(all_284_0) & $i(all_284_1) & $i(all_284_2)
% 74.22/10.94 | | | | | | |
% 74.22/10.94 | | | | | | | ALPHA: (656) implies:
% 74.22/10.94 | | | | | | | (657) prop(false2) = all_284_1
% 74.22/10.94 | | | | | | | (658) impl(all_42_0, false2) = all_284_0
% 74.22/10.94 | | | | | | | (659) lazy_impl(all_284_1, all_284_0) = all_284_2
% 74.22/10.94 | | | | | | |
% 74.22/10.94 | | | | | | | DELTA: instantiating (624) with fresh symbols all_286_0,
% 74.22/10.94 | | | | | | | all_286_1, all_286_2 gives:
% 74.22/10.94 | | | | | | | (660) f2(true, false, all_44_1) = all_286_2 &
% 74.22/10.94 | | | | | | | lazy_impl(all_286_1, all_286_0) = all_286_2 & impl(true,
% 74.22/10.94 | | | | | | | all_44_1) = all_286_0 & prop(all_44_1) = all_286_1 &
% 74.22/10.94 | | | | | | | $i(all_286_0) & $i(all_286_1) & $i(all_286_2)
% 74.22/10.94 | | | | | | |
% 74.22/10.94 | | | | | | | ALPHA: (660) implies:
% 74.22/10.94 | | | | | | | (661) $i(all_286_0)
% 74.22/10.94 | | | | | | | (662) prop(all_44_1) = all_286_1
% 74.22/10.94 | | | | | | | (663) impl(true, all_44_1) = all_286_0
% 74.22/10.94 | | | | | | | (664) lazy_impl(all_286_1, all_286_0) = all_286_2
% 74.22/10.94 | | | | | | | (665) f2(true, false, all_44_1) = all_286_2
% 74.22/10.94 | | | | | | |
% 74.22/10.94 | | | | | | | DELTA: instantiating (622) with fresh symbols all_288_0,
% 74.22/10.94 | | | | | | | all_288_1, all_288_2 gives:
% 74.22/10.94 | | | | | | | (666) f1(true, false, all_44_1) = all_288_2 &
% 74.22/10.94 | | | | | | | lazy_impl(all_288_1, all_288_0) = all_288_2 & impl(true,
% 74.22/10.94 | | | | | | | all_44_1) = all_288_0 & prop(all_44_1) = all_288_1 &
% 74.22/10.94 | | | | | | | $i(all_288_0) & $i(all_288_1) & $i(all_288_2)
% 74.22/10.94 | | | | | | |
% 74.22/10.94 | | | | | | | ALPHA: (666) implies:
% 74.22/10.94 | | | | | | | (667) prop(all_44_1) = all_288_1
% 74.22/10.94 | | | | | | | (668) impl(true, all_44_1) = all_288_0
% 74.22/10.94 | | | | | | | (669) lazy_impl(all_288_1, all_288_0) = all_288_2
% 74.22/10.94 | | | | | | |
% 74.22/10.94 | | | | | | | DELTA: instantiating (639) with fresh symbols all_290_0,
% 74.22/10.94 | | | | | | | all_290_1, all_290_2 gives:
% 74.22/10.95 | | | | | | | (670) f2(true, true, all_42_2) = all_290_2 &
% 74.22/10.95 | | | | | | | lazy_impl(all_290_1, all_290_0) = all_290_2 &
% 74.22/10.95 | | | | | | | impl(all_42_2, all_42_2) = all_290_0 & prop(all_42_2) =
% 74.22/10.95 | | | | | | | all_290_1 & $i(all_290_0) & $i(all_290_1) & $i(all_290_2)
% 74.22/10.95 | | | | | | |
% 74.22/10.95 | | | | | | | ALPHA: (670) implies:
% 74.22/10.95 | | | | | | | (671) prop(all_42_2) = all_290_1
% 74.22/10.95 | | | | | | | (672) impl(all_42_2, all_42_2) = all_290_0
% 74.22/10.95 | | | | | | |
% 74.22/10.95 | | | | | | | DELTA: instantiating (633) with fresh symbols all_292_0,
% 74.22/10.95 | | | | | | | all_292_1, all_292_2 gives:
% 74.22/10.95 | | | | | | | (673) f1(true, true, all_42_2) = all_292_2 &
% 74.22/10.95 | | | | | | | lazy_impl(all_292_1, all_292_0) = all_292_2 &
% 74.22/10.95 | | | | | | | impl(all_42_2, all_42_2) = all_292_0 & prop(all_42_2) =
% 74.22/10.95 | | | | | | | all_292_1 & $i(all_292_0) & $i(all_292_1) & $i(all_292_2)
% 74.22/10.95 | | | | | | |
% 74.22/10.95 | | | | | | | ALPHA: (673) implies:
% 74.22/10.95 | | | | | | | (674) prop(all_42_2) = all_292_1
% 74.22/10.95 | | | | | | | (675) impl(all_42_2, all_42_2) = all_292_0
% 74.22/10.95 | | | | | | |
% 74.22/10.95 | | | | | | | DELTA: instantiating (638) with fresh symbols all_294_0,
% 74.22/10.95 | | | | | | | all_294_1, all_294_2 gives:
% 74.22/10.95 | | | | | | | (676) f2(true, true, all_44_1) = all_294_2 &
% 74.22/10.95 | | | | | | | lazy_impl(all_294_1, all_294_0) = all_294_2 &
% 74.22/10.95 | | | | | | | impl(false2, all_44_1) = all_294_0 & prop(all_44_1) =
% 74.22/10.95 | | | | | | | all_294_1 & $i(all_294_0) & $i(all_294_1) & $i(all_294_2)
% 74.22/10.95 | | | | | | |
% 74.22/10.95 | | | | | | | ALPHA: (676) implies:
% 74.22/10.95 | | | | | | | (677) $i(all_294_0)
% 74.22/10.95 | | | | | | | (678) prop(all_44_1) = all_294_1
% 74.22/10.95 | | | | | | | (679) impl(false2, all_44_1) = all_294_0
% 74.22/10.95 | | | | | | | (680) lazy_impl(all_294_1, all_294_0) = all_294_2
% 74.22/10.95 | | | | | | | (681) f2(true, true, all_44_1) = all_294_2
% 74.22/10.95 | | | | | | |
% 74.22/10.95 | | | | | | | DELTA: instantiating (621) with fresh symbols all_296_0,
% 74.22/10.95 | | | | | | | all_296_1, all_296_2 gives:
% 74.22/10.95 | | | | | | | (682) f2(true, false, all_42_2) = all_296_2 &
% 74.22/10.95 | | | | | | | lazy_impl(all_296_1, all_296_0) = all_296_2 & impl(true,
% 74.22/10.95 | | | | | | | all_42_2) = all_296_0 & prop(all_42_2) = all_296_1 &
% 74.22/10.95 | | | | | | | $i(all_296_0) & $i(all_296_1) & $i(all_296_2)
% 74.22/10.95 | | | | | | |
% 74.22/10.95 | | | | | | | ALPHA: (682) implies:
% 74.22/10.95 | | | | | | | (683) prop(all_42_2) = all_296_1
% 74.22/10.95 | | | | | | | (684) impl(true, all_42_2) = all_296_0
% 74.22/10.95 | | | | | | | (685) lazy_impl(all_296_1, all_296_0) = all_296_2
% 74.22/10.95 | | | | | | |
% 74.22/10.95 | | | | | | | DELTA: instantiating (620) with fresh symbols all_298_0,
% 74.22/10.95 | | | | | | | all_298_1, all_298_2 gives:
% 74.22/10.95 | | | | | | | (686) f1(false, false, all_42_2) = all_298_2 &
% 74.22/10.95 | | | | | | | lazy_impl(all_298_1, all_298_0) = all_298_2 & impl(true,
% 74.22/10.95 | | | | | | | all_42_2) = all_298_0 & prop(all_42_2) = all_298_1 &
% 74.22/10.95 | | | | | | | $i(all_298_0) & $i(all_298_1) & $i(all_298_2)
% 74.22/10.95 | | | | | | |
% 74.22/10.95 | | | | | | | ALPHA: (686) implies:
% 74.22/10.95 | | | | | | | (687) prop(all_42_2) = all_298_1
% 74.22/10.95 | | | | | | | (688) impl(true, all_42_2) = all_298_0
% 74.44/10.95 | | | | | | | (689) lazy_impl(all_298_1, all_298_0) = all_298_2
% 74.44/10.95 | | | | | | |
% 74.44/10.95 | | | | | | | DELTA: instantiating (623) with fresh symbols all_300_0,
% 74.44/10.95 | | | | | | | all_300_1, all_300_2 gives:
% 74.44/10.95 | | | | | | | (690) f1(false, false, all_44_1) = all_300_2 &
% 74.44/10.95 | | | | | | | lazy_impl(all_300_1, all_300_0) = all_300_2 & impl(true,
% 74.44/10.95 | | | | | | | all_44_1) = all_300_0 & prop(all_44_1) = all_300_1 &
% 74.44/10.95 | | | | | | | $i(all_300_0) & $i(all_300_1) & $i(all_300_2)
% 74.44/10.95 | | | | | | |
% 74.44/10.95 | | | | | | | ALPHA: (690) implies:
% 74.44/10.95 | | | | | | | (691) prop(all_44_1) = all_300_1
% 74.44/10.95 | | | | | | | (692) impl(true, all_44_1) = all_300_0
% 74.44/10.95 | | | | | | | (693) lazy_impl(all_300_1, all_300_0) = all_300_2
% 74.44/10.95 | | | | | | |
% 74.44/10.95 | | | | | | | DELTA: instantiating (634) with fresh symbols all_302_0,
% 74.44/10.95 | | | | | | | all_302_1, all_302_2 gives:
% 74.44/10.95 | | | | | | | (694) f1(false, true, all_42_2) = all_302_2 &
% 74.44/10.95 | | | | | | | lazy_impl(all_302_1, all_302_0) = all_302_2 & impl(true,
% 74.44/10.95 | | | | | | | all_42_2) = all_302_0 & prop(all_42_2) = all_302_1 &
% 74.44/10.95 | | | | | | | $i(all_302_0) & $i(all_302_1) & $i(all_302_2)
% 74.44/10.95 | | | | | | |
% 74.44/10.95 | | | | | | | ALPHA: (694) implies:
% 74.44/10.95 | | | | | | | (695) prop(all_42_2) = all_302_1
% 74.44/10.95 | | | | | | | (696) impl(true, all_42_2) = all_302_0
% 74.44/10.95 | | | | | | | (697) lazy_impl(all_302_1, all_302_0) = all_302_2
% 74.44/10.95 | | | | | | |
% 74.44/10.95 | | | | | | | DELTA: instantiating (637) with fresh symbols all_304_0,
% 74.44/10.95 | | | | | | | all_304_1, all_304_2 gives:
% 74.44/10.95 | | | | | | | (698) f1(false, true, all_44_1) = all_304_2 &
% 74.44/10.95 | | | | | | | lazy_impl(all_304_1, all_304_0) = all_304_2 & impl(true,
% 74.44/10.95 | | | | | | | all_44_1) = all_304_0 & prop(all_44_1) = all_304_1 &
% 74.44/10.95 | | | | | | | $i(all_304_0) & $i(all_304_1) & $i(all_304_2)
% 74.44/10.95 | | | | | | |
% 74.44/10.95 | | | | | | | ALPHA: (698) implies:
% 74.44/10.95 | | | | | | | (699) prop(all_44_1) = all_304_1
% 74.44/10.95 | | | | | | | (700) impl(true, all_44_1) = all_304_0
% 74.44/10.95 | | | | | | | (701) lazy_impl(all_304_1, all_304_0) = all_304_2
% 74.44/10.95 | | | | | | |
% 74.44/10.95 | | | | | | | DELTA: instantiating (616) with fresh symbols all_306_0,
% 74.44/10.95 | | | | | | | all_306_1, all_306_2 gives:
% 74.44/10.95 | | | | | | | (702) f1(false, false, false2) = all_306_2 &
% 74.44/10.95 | | | | | | | lazy_impl(all_306_1, all_306_0) = all_306_2 & impl(true,
% 74.44/10.95 | | | | | | | false2) = all_306_0 & prop(false2) = all_306_1 &
% 74.44/10.95 | | | | | | | $i(all_306_0) & $i(all_306_1) & $i(all_306_2)
% 74.44/10.95 | | | | | | |
% 74.44/10.95 | | | | | | | ALPHA: (702) implies:
% 74.44/10.95 | | | | | | | (703) prop(false2) = all_306_1
% 74.44/10.95 | | | | | | | (704) impl(true, false2) = all_306_0
% 74.44/10.95 | | | | | | |
% 74.44/10.95 | | | | | | | DELTA: instantiating (636) with fresh symbols all_308_0,
% 74.44/10.95 | | | | | | | all_308_1, all_308_2 gives:
% 74.44/10.95 | | | | | | | (705) f1(true, true, all_44_1) = all_308_2 &
% 74.44/10.95 | | | | | | | lazy_impl(all_308_1, all_308_0) = all_308_2 &
% 74.44/10.95 | | | | | | | impl(all_44_1, all_44_1) = all_308_0 & prop(all_44_1) =
% 74.44/10.95 | | | | | | | all_308_1 & $i(all_308_0) & $i(all_308_1) & $i(all_308_2)
% 74.44/10.95 | | | | | | |
% 74.44/10.95 | | | | | | | ALPHA: (705) implies:
% 74.44/10.95 | | | | | | | (706) $i(all_308_0)
% 74.44/10.95 | | | | | | | (707) prop(all_44_1) = all_308_1
% 74.44/10.95 | | | | | | | (708) impl(all_44_1, all_44_1) = all_308_0
% 74.44/10.95 | | | | | | | (709) lazy_impl(all_308_1, all_308_0) = all_308_2
% 74.44/10.95 | | | | | | |
% 74.44/10.95 | | | | | | | DELTA: instantiating (615) with fresh symbols all_310_0,
% 74.44/10.95 | | | | | | | all_310_1, all_310_2 gives:
% 74.44/10.95 | | | | | | | (710) f1(true, false, false2) = all_310_2 &
% 74.44/10.95 | | | | | | | lazy_impl(all_310_1, all_310_0) = all_310_2 & impl(true,
% 74.44/10.95 | | | | | | | false2) = all_310_0 & prop(false2) = all_310_1 &
% 74.44/10.95 | | | | | | | $i(all_310_0) & $i(all_310_1) & $i(all_310_2)
% 74.44/10.95 | | | | | | |
% 74.44/10.95 | | | | | | | ALPHA: (710) implies:
% 74.44/10.95 | | | | | | | (711) prop(false2) = all_310_1
% 74.44/10.95 | | | | | | | (712) impl(true, false2) = all_310_0
% 74.44/10.95 | | | | | | |
% 74.44/10.95 | | | | | | | DELTA: instantiating (629) with fresh symbols all_312_0,
% 74.44/10.95 | | | | | | | all_312_1, all_312_2 gives:
% 74.44/10.95 | | | | | | | (713) f2(true, true, false2) = all_312_2 & lazy_impl(all_312_1,
% 74.44/10.95 | | | | | | | all_312_0) = all_312_2 & impl(false2, false2) =
% 74.44/10.95 | | | | | | | all_312_0 & prop(false2) = all_312_1 & $i(all_312_0) &
% 74.44/10.95 | | | | | | | $i(all_312_1) & $i(all_312_2)
% 74.44/10.95 | | | | | | |
% 74.44/10.95 | | | | | | | ALPHA: (713) implies:
% 74.44/10.95 | | | | | | | (714) prop(false2) = all_312_1
% 74.44/10.95 | | | | | | | (715) impl(false2, false2) = all_312_0
% 74.44/10.95 | | | | | | | (716) lazy_impl(all_312_1, all_312_0) = all_312_2
% 74.44/10.95 | | | | | | | (717) f2(true, true, false2) = all_312_2
% 74.44/10.95 | | | | | | |
% 74.44/10.95 | | | | | | | DELTA: instantiating (628) with fresh symbols all_314_0,
% 74.44/10.95 | | | | | | | all_314_1, all_314_2 gives:
% 74.44/10.95 | | | | | | | (718) f1(false, true, false2) = all_314_2 &
% 74.44/10.95 | | | | | | | lazy_impl(all_314_1, all_314_0) = all_314_2 & impl(true,
% 74.44/10.95 | | | | | | | false2) = all_314_0 & prop(false2) = all_314_1 &
% 74.44/10.95 | | | | | | | $i(all_314_0) & $i(all_314_1) & $i(all_314_2)
% 74.44/10.95 | | | | | | |
% 74.44/10.95 | | | | | | | ALPHA: (718) implies:
% 74.44/10.95 | | | | | | | (719) prop(false2) = all_314_1
% 74.44/10.95 | | | | | | | (720) impl(true, false2) = all_314_0
% 74.44/10.95 | | | | | | |
% 74.44/10.95 | | | | | | | DELTA: instantiating (627) with fresh symbols all_316_0,
% 74.44/10.95 | | | | | | | all_316_1, all_316_2 gives:
% 74.44/10.95 | | | | | | | (721) f1(true, true, false2) = all_316_2 & lazy_impl(all_316_1,
% 74.44/10.95 | | | | | | | all_316_0) = all_316_2 & impl(false2, false2) =
% 74.44/10.95 | | | | | | | all_316_0 & prop(false2) = all_316_1 & $i(all_316_0) &
% 74.44/10.95 | | | | | | | $i(all_316_1) & $i(all_316_2)
% 74.44/10.95 | | | | | | |
% 74.44/10.95 | | | | | | | ALPHA: (721) implies:
% 74.44/10.95 | | | | | | | (722) prop(false2) = all_316_1
% 74.44/10.95 | | | | | | | (723) impl(false2, false2) = all_316_0
% 74.44/10.95 | | | | | | | (724) lazy_impl(all_316_1, all_316_0) = all_316_2
% 74.44/10.95 | | | | | | |
% 74.44/10.95 | | | | | | | DELTA: instantiating (617) with fresh symbols all_318_0,
% 74.44/10.95 | | | | | | | all_318_1, all_318_2 gives:
% 74.44/10.95 | | | | | | | (725) f2(true, false, false2) = all_318_2 &
% 74.44/10.95 | | | | | | | lazy_impl(all_318_1, all_318_0) = all_318_2 & impl(true,
% 74.44/10.95 | | | | | | | false2) = all_318_0 & prop(false2) = all_318_1 &
% 74.44/10.95 | | | | | | | $i(all_318_0) & $i(all_318_1) & $i(all_318_2)
% 74.44/10.95 | | | | | | |
% 74.44/10.95 | | | | | | | ALPHA: (725) implies:
% 74.44/10.95 | | | | | | | (726) prop(false2) = all_318_1
% 74.44/10.95 | | | | | | | (727) impl(true, false2) = all_318_0
% 74.44/10.95 | | | | | | |
% 74.44/10.95 | | | | | | | DELTA: instantiating (619) with fresh symbols all_320_0,
% 74.44/10.95 | | | | | | | all_320_1, all_320_2 gives:
% 74.44/10.95 | | | | | | | (728) f1(true, false, all_42_2) = all_320_2 &
% 74.44/10.95 | | | | | | | lazy_impl(all_320_1, all_320_0) = all_320_2 & impl(true,
% 74.44/10.95 | | | | | | | all_42_2) = all_320_0 & prop(all_42_2) = all_320_1 &
% 74.44/10.95 | | | | | | | $i(all_320_0) & $i(all_320_1) & $i(all_320_2)
% 74.44/10.95 | | | | | | |
% 74.44/10.95 | | | | | | | ALPHA: (728) implies:
% 74.44/10.95 | | | | | | | (729) prop(all_42_2) = all_320_1
% 74.44/10.95 | | | | | | | (730) impl(true, all_42_2) = all_320_0
% 74.44/10.95 | | | | | | | (731) lazy_impl(all_320_1, all_320_0) = all_320_2
% 74.44/10.95 | | | | | | |
% 74.44/10.95 | | | | | | | GROUND_INST: instantiating (43) with true, all_310_1, false2,
% 74.44/10.95 | | | | | | | simplifying with (590), (711) gives:
% 74.44/10.96 | | | | | | | (732) all_310_1 = true
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (43) with all_314_1, all_316_1, false2,
% 74.44/10.96 | | | | | | | simplifying with (719), (722) gives:
% 74.44/10.96 | | | | | | | (733) all_316_1 = all_314_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (43) with all_312_1, all_316_1, false2,
% 74.44/10.96 | | | | | | | simplifying with (714), (722) gives:
% 74.44/10.96 | | | | | | | (734) all_316_1 = all_312_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (43) with all_310_1, all_316_1, false2,
% 74.44/10.96 | | | | | | | simplifying with (711), (722) gives:
% 74.44/10.96 | | | | | | | (735) all_316_1 = all_310_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (43) with all_306_1, all_316_1, false2,
% 74.44/10.96 | | | | | | | simplifying with (703), (722) gives:
% 74.44/10.96 | | | | | | | (736) all_316_1 = all_306_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (43) with all_282_0, all_316_1, false2,
% 74.44/10.96 | | | | | | | simplifying with (655), (722) gives:
% 74.44/10.96 | | | | | | | (737) all_316_1 = all_282_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (43) with all_312_1, all_318_1, false2,
% 74.44/10.96 | | | | | | | simplifying with (714), (726) gives:
% 74.44/10.96 | | | | | | | (738) all_318_1 = all_312_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (43) with all_284_1, all_318_1, false2,
% 74.44/10.96 | | | | | | | simplifying with (657), (726) gives:
% 74.44/10.96 | | | | | | | (739) all_318_1 = all_284_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (43) with true, all_298_1, all_42_2,
% 74.44/10.96 | | | | | | | simplifying with (595), (687) gives:
% 74.44/10.96 | | | | | | | (740) all_298_1 = true
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (43) with all_292_1, all_298_1,
% 74.44/10.96 | | | | | | | all_42_2, simplifying with (674), (687) gives:
% 74.44/10.96 | | | | | | | (741) all_298_1 = all_292_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (43) with all_290_1, all_298_1,
% 74.44/10.96 | | | | | | | all_42_2, simplifying with (671), (687) gives:
% 74.44/10.96 | | | | | | | (742) all_298_1 = all_290_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (43) with all_296_1, all_302_1,
% 74.44/10.96 | | | | | | | all_42_2, simplifying with (683), (695) gives:
% 74.44/10.96 | | | | | | | (743) all_302_1 = all_296_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (43) with all_292_1, all_302_1,
% 74.44/10.96 | | | | | | | all_42_2, simplifying with (674), (695) gives:
% 74.44/10.96 | | | | | | | (744) all_302_1 = all_292_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (43) with all_302_1, all_320_1,
% 74.44/10.96 | | | | | | | all_42_2, simplifying with (695), (729) gives:
% 74.44/10.96 | | | | | | | (745) all_320_1 = all_302_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (43) with all_274_0, all_320_1,
% 74.44/10.96 | | | | | | | all_42_2, simplifying with (645), (729) gives:
% 74.44/10.96 | | | | | | | (746) all_320_1 = all_274_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (43) with all_294_1, all_300_1,
% 74.44/10.96 | | | | | | | all_44_1, simplifying with (678), (691) gives:
% 74.44/10.96 | | | | | | | (747) all_300_1 = all_294_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (43) with all_280_0, all_300_1,
% 74.44/10.96 | | | | | | | all_44_1, simplifying with (651), (691) gives:
% 74.44/10.96 | | | | | | | (748) all_300_1 = all_280_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (43) with true, all_304_1, all_44_1,
% 74.44/10.96 | | | | | | | simplifying with (585), (699) gives:
% 74.44/10.96 | | | | | | | (749) all_304_1 = true
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (43) with all_288_1, all_304_1,
% 74.44/10.96 | | | | | | | all_44_1, simplifying with (667), (699) gives:
% 74.44/10.96 | | | | | | | (750) all_304_1 = all_288_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (43) with all_304_1, all_308_1,
% 74.44/10.96 | | | | | | | all_44_1, simplifying with (699), (707) gives:
% 74.44/10.96 | | | | | | | (751) all_308_1 = all_304_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (43) with all_294_1, all_308_1,
% 74.44/10.96 | | | | | | | all_44_1, simplifying with (678), (707) gives:
% 74.44/10.96 | | | | | | | (752) all_308_1 = all_294_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (43) with all_286_1, all_308_1,
% 74.44/10.96 | | | | | | | all_44_1, simplifying with (662), (707) gives:
% 74.44/10.96 | | | | | | | (753) all_308_1 = all_286_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (47) with false2, all_314_0, false2,
% 74.44/10.96 | | | | | | | true, simplifying with (588), (720) gives:
% 74.44/10.96 | | | | | | | (754) all_314_0 = false2
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (47) with all_306_0, all_314_0, false2,
% 74.44/10.96 | | | | | | | true, simplifying with (704), (720) gives:
% 74.44/10.96 | | | | | | | (755) all_314_0 = all_306_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (47) with all_314_0, all_318_0, false2,
% 74.44/10.96 | | | | | | | true, simplifying with (720), (727) gives:
% 74.44/10.96 | | | | | | | (756) all_318_0 = all_314_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (47) with all_310_0, all_318_0, false2,
% 74.44/10.96 | | | | | | | true, simplifying with (712), (727) gives:
% 74.44/10.96 | | | | | | | (757) all_318_0 = all_310_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (47) with all_42_2, all_302_0,
% 74.44/10.96 | | | | | | | all_42_2, true, simplifying with (593), (696) gives:
% 74.44/10.96 | | | | | | | (758) all_302_0 = all_42_2
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (47) with all_302_0, all_320_0,
% 74.44/10.96 | | | | | | | all_42_2, true, simplifying with (696), (730) gives:
% 74.44/10.96 | | | | | | | (759) all_320_0 = all_302_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (47) with all_298_0, all_320_0,
% 74.44/10.96 | | | | | | | all_42_2, true, simplifying with (688), (730) gives:
% 74.44/10.96 | | | | | | | (760) all_320_0 = all_298_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (47) with all_296_0, all_320_0,
% 74.44/10.96 | | | | | | | all_42_2, true, simplifying with (684), (730) gives:
% 74.44/10.96 | | | | | | | (761) all_320_0 = all_296_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (47) with all_44_1, all_300_0,
% 74.44/10.96 | | | | | | | all_44_1, true, simplifying with (598), (692) gives:
% 74.44/10.96 | | | | | | | (762) all_300_0 = all_44_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (47) with all_286_0, all_300_0,
% 74.44/10.96 | | | | | | | all_44_1, true, simplifying with (663), (692) gives:
% 74.44/10.96 | | | | | | | (763) all_300_0 = all_286_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (47) with all_300_0, all_304_0,
% 74.44/10.96 | | | | | | | all_44_1, true, simplifying with (692), (700) gives:
% 74.44/10.96 | | | | | | | (764) all_304_0 = all_300_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (47) with all_288_0, all_304_0,
% 74.44/10.96 | | | | | | | all_44_1, true, simplifying with (668), (700) gives:
% 74.44/10.96 | | | | | | | (765) all_304_0 = all_288_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (47) with all_312_0, all_316_0, false2,
% 74.44/10.96 | | | | | | | false2, simplifying with (715), (723) gives:
% 74.44/10.96 | | | | | | | (766) all_316_0 = all_312_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (47) with all_290_0, all_292_0,
% 74.44/10.96 | | | | | | | all_42_2, all_42_2, simplifying with (672), (675)
% 74.44/10.96 | | | | | | | gives:
% 74.44/10.96 | | | | | | | (767) all_292_0 = all_290_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | GROUND_INST: instantiating (48) with all_42_2, all_268_0,
% 74.44/10.96 | | | | | | | all_42_2, true, simplifying with (611), (641) gives:
% 74.44/10.96 | | | | | | | (768) all_268_0 = all_42_2
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (760), (761) imply:
% 74.44/10.96 | | | | | | | (769) all_298_0 = all_296_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (759), (760) imply:
% 74.44/10.96 | | | | | | | (770) all_302_0 = all_298_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | SIMP: (770) implies:
% 74.44/10.96 | | | | | | | (771) all_302_0 = all_298_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (745), (746) imply:
% 74.44/10.96 | | | | | | | (772) all_302_1 = all_274_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | SIMP: (772) implies:
% 74.44/10.96 | | | | | | | (773) all_302_1 = all_274_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (756), (757) imply:
% 74.44/10.96 | | | | | | | (774) all_314_0 = all_310_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | SIMP: (774) implies:
% 74.44/10.96 | | | | | | | (775) all_314_0 = all_310_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (738), (739) imply:
% 74.44/10.96 | | | | | | | (776) all_312_1 = all_284_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | SIMP: (776) implies:
% 74.44/10.96 | | | | | | | (777) all_312_1 = all_284_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (733), (735) imply:
% 74.44/10.96 | | | | | | | (778) all_314_1 = all_310_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (733), (734) imply:
% 74.44/10.96 | | | | | | | (779) all_314_1 = all_312_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (733), (736) imply:
% 74.44/10.96 | | | | | | | (780) all_314_1 = all_306_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (733), (737) imply:
% 74.44/10.96 | | | | | | | (781) all_314_1 = all_282_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (755), (775) imply:
% 74.44/10.96 | | | | | | | (782) all_310_0 = all_306_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (754), (775) imply:
% 74.44/10.96 | | | | | | | (783) all_310_0 = false2
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (778), (780) imply:
% 74.44/10.96 | | | | | | | (784) all_310_1 = all_306_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | SIMP: (784) implies:
% 74.44/10.96 | | | | | | | (785) all_310_1 = all_306_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (779), (780) imply:
% 74.44/10.96 | | | | | | | (786) all_312_1 = all_306_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | SIMP: (786) implies:
% 74.44/10.96 | | | | | | | (787) all_312_1 = all_306_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (780), (781) imply:
% 74.44/10.96 | | | | | | | (788) all_306_1 = all_282_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (777), (787) imply:
% 74.44/10.96 | | | | | | | (789) all_306_1 = all_284_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | SIMP: (789) implies:
% 74.44/10.96 | | | | | | | (790) all_306_1 = all_284_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (782), (783) imply:
% 74.44/10.96 | | | | | | | (791) all_306_0 = false2
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (732), (785) imply:
% 74.44/10.96 | | | | | | | (792) all_306_1 = true
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | SIMP: (792) implies:
% 74.44/10.96 | | | | | | | (793) all_306_1 = true
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (752), (753) imply:
% 74.44/10.96 | | | | | | | (794) all_294_1 = all_286_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | SIMP: (794) implies:
% 74.44/10.96 | | | | | | | (795) all_294_1 = all_286_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (751), (753) imply:
% 74.44/10.96 | | | | | | | (796) all_304_1 = all_286_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | SIMP: (796) implies:
% 74.44/10.96 | | | | | | | (797) all_304_1 = all_286_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (790), (793) imply:
% 74.44/10.96 | | | | | | | (798) all_284_1 = true
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (788), (790) imply:
% 74.44/10.96 | | | | | | | (799) all_284_1 = all_282_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (764), (765) imply:
% 74.44/10.96 | | | | | | | (800) all_300_0 = all_288_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | SIMP: (800) implies:
% 74.44/10.96 | | | | | | | (801) all_300_0 = all_288_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (749), (750) imply:
% 74.44/10.96 | | | | | | | (802) all_288_1 = true
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (750), (797) imply:
% 74.44/10.96 | | | | | | | (803) all_288_1 = all_286_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (758), (771) imply:
% 74.44/10.96 | | | | | | | (804) all_298_0 = all_42_2
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | SIMP: (804) implies:
% 74.44/10.96 | | | | | | | (805) all_298_0 = all_42_2
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (743), (773) imply:
% 74.44/10.96 | | | | | | | (806) all_296_1 = all_274_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (743), (744) imply:
% 74.44/10.96 | | | | | | | (807) all_296_1 = all_292_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (762), (801) imply:
% 74.44/10.96 | | | | | | | (808) all_288_0 = all_44_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (763), (801) imply:
% 74.44/10.96 | | | | | | | (809) all_288_0 = all_286_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (747), (748) imply:
% 74.44/10.96 | | | | | | | (810) all_294_1 = all_280_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | SIMP: (810) implies:
% 74.44/10.96 | | | | | | | (811) all_294_1 = all_280_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (769), (805) imply:
% 74.44/10.96 | | | | | | | (812) all_296_0 = all_42_2
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (740), (742) imply:
% 74.44/10.96 | | | | | | | (813) all_290_1 = true
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (741), (742) imply:
% 74.44/10.96 | | | | | | | (814) all_292_1 = all_290_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | SIMP: (814) implies:
% 74.44/10.96 | | | | | | | (815) all_292_1 = all_290_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (806), (807) imply:
% 74.44/10.96 | | | | | | | (816) all_292_1 = all_274_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | SIMP: (816) implies:
% 74.44/10.96 | | | | | | | (817) all_292_1 = all_274_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (795), (811) imply:
% 74.44/10.96 | | | | | | | (818) all_286_1 = all_280_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | SIMP: (818) implies:
% 74.44/10.96 | | | | | | | (819) all_286_1 = all_280_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (815), (817) imply:
% 74.44/10.96 | | | | | | | (820) all_290_1 = all_274_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | SIMP: (820) implies:
% 74.44/10.96 | | | | | | | (821) all_290_1 = all_274_0
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (813), (821) imply:
% 74.44/10.96 | | | | | | | (822) all_274_0 = true
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | SIMP: (822) implies:
% 74.44/10.96 | | | | | | | (823) all_274_0 = true
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (808), (809) imply:
% 74.44/10.96 | | | | | | | (824) all_286_0 = all_44_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (802), (803) imply:
% 74.44/10.96 | | | | | | | (825) all_286_1 = true
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | SIMP: (825) implies:
% 74.44/10.96 | | | | | | | (826) all_286_1 = true
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (819), (826) imply:
% 74.44/10.96 | | | | | | | (827) all_280_0 = true
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | SIMP: (827) implies:
% 74.44/10.96 | | | | | | | (828) all_280_0 = true
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (798), (799) imply:
% 74.44/10.96 | | | | | | | (829) all_282_0 = true
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (811), (828) imply:
% 74.44/10.96 | | | | | | | (830) all_294_1 = true
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (806), (823) imply:
% 74.44/10.96 | | | | | | | (831) all_296_1 = true
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (748), (828) imply:
% 74.44/10.96 | | | | | | | (832) all_300_1 = true
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (743), (831) imply:
% 74.44/10.96 | | | | | | | (833) all_302_1 = true
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (765), (808) imply:
% 74.44/10.96 | | | | | | | (834) all_304_0 = all_44_1
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (753), (826) imply:
% 74.44/10.96 | | | | | | | (835) all_308_1 = true
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (777), (798) imply:
% 74.44/10.96 | | | | | | | (836) all_312_1 = true
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (780), (793) imply:
% 74.44/10.96 | | | | | | | (837) all_314_1 = true
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (733), (837) imply:
% 74.44/10.96 | | | | | | | (838) all_316_1 = true
% 74.44/10.96 | | | | | | |
% 74.44/10.96 | | | | | | | COMBINE_EQS: (746), (823) imply:
% 74.44/10.97 | | | | | | | (839) all_320_1 = true
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | COMBINE_EQS: (760), (805) imply:
% 74.44/10.97 | | | | | | | (840) all_320_0 = all_42_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | REDUCE: (731), (839), (840) imply:
% 74.44/10.97 | | | | | | | (841) lazy_impl(true, all_42_2) = all_320_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | REDUCE: (724), (766), (838) imply:
% 74.44/10.97 | | | | | | | (842) lazy_impl(true, all_312_0) = all_316_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | REDUCE: (716), (836) imply:
% 74.44/10.97 | | | | | | | (843) lazy_impl(true, all_312_0) = all_312_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | REDUCE: (709), (835) imply:
% 74.44/10.97 | | | | | | | (844) lazy_impl(true, all_308_0) = all_308_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | REDUCE: (701), (749), (834) imply:
% 74.44/10.97 | | | | | | | (845) lazy_impl(true, all_44_1) = all_304_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | REDUCE: (697), (758), (833) imply:
% 74.44/10.97 | | | | | | | (846) lazy_impl(true, all_42_2) = all_302_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | REDUCE: (693), (762), (832) imply:
% 74.44/10.97 | | | | | | | (847) lazy_impl(true, all_44_1) = all_300_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | REDUCE: (689), (740), (805) imply:
% 74.44/10.97 | | | | | | | (848) lazy_impl(true, all_42_2) = all_298_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | REDUCE: (685), (812), (831) imply:
% 74.44/10.97 | | | | | | | (849) lazy_impl(true, all_42_2) = all_296_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | REDUCE: (680), (830) imply:
% 74.44/10.97 | | | | | | | (850) lazy_impl(true, all_294_0) = all_294_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | REDUCE: (669), (802), (808) imply:
% 74.44/10.97 | | | | | | | (851) lazy_impl(true, all_44_1) = all_288_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | REDUCE: (664), (824), (826) imply:
% 74.44/10.97 | | | | | | | (852) lazy_impl(true, all_44_1) = all_286_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | REDUCE: (659), (798) imply:
% 74.44/10.97 | | | | | | | (853) lazy_impl(true, all_284_0) = all_284_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | REDUCE: (652), (828) imply:
% 74.44/10.97 | | | | | | | (854) lazy_impl(true, all_44_1) = all_280_1
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | REDUCE: (646), (823) imply:
% 74.44/10.97 | | | | | | | (855) lazy_impl(true, all_42_2) = all_274_1
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | GROUND_INST: instantiating (48) with all_296_2, all_302_2,
% 74.44/10.97 | | | | | | | all_42_2, true, simplifying with (846), (849) gives:
% 74.44/10.97 | | | | | | | (856) all_302_2 = all_296_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | GROUND_INST: instantiating (48) with all_274_1, all_302_2,
% 74.44/10.97 | | | | | | | all_42_2, true, simplifying with (846), (855) gives:
% 74.44/10.97 | | | | | | | (857) all_302_2 = all_274_1
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | GROUND_INST: instantiating (48) with all_42_2, all_320_2,
% 74.44/10.97 | | | | | | | all_42_2, true, simplifying with (611), (841) gives:
% 74.44/10.97 | | | | | | | (858) all_320_2 = all_42_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | GROUND_INST: instantiating (48) with all_298_2, all_320_2,
% 74.44/10.97 | | | | | | | all_42_2, true, simplifying with (841), (848) gives:
% 74.44/10.97 | | | | | | | (859) all_320_2 = all_298_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | GROUND_INST: instantiating (48) with all_296_2, all_320_2,
% 74.44/10.97 | | | | | | | all_42_2, true, simplifying with (841), (849) gives:
% 74.44/10.97 | | | | | | | (860) all_320_2 = all_296_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | GROUND_INST: instantiating (48) with false2, all_288_2, all_44_1,
% 74.44/10.97 | | | | | | | true, simplifying with (583), (851) gives:
% 74.44/10.97 | | | | | | | (861) all_288_2 = false2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | GROUND_INST: instantiating (48) with all_280_1, all_288_2,
% 74.44/10.97 | | | | | | | all_44_1, true, simplifying with (851), (854) gives:
% 74.44/10.97 | | | | | | | (862) all_288_2 = all_280_1
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | GROUND_INST: instantiating (48) with all_288_2, all_300_2,
% 74.44/10.97 | | | | | | | all_44_1, true, simplifying with (847), (851) gives:
% 74.44/10.97 | | | | | | | (863) all_300_2 = all_288_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | GROUND_INST: instantiating (48) with all_300_2, all_304_2,
% 74.44/10.97 | | | | | | | all_44_1, true, simplifying with (845), (847) gives:
% 74.44/10.97 | | | | | | | (864) all_304_2 = all_300_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | GROUND_INST: instantiating (48) with all_286_2, all_304_2,
% 74.44/10.97 | | | | | | | all_44_1, true, simplifying with (845), (852) gives:
% 74.44/10.97 | | | | | | | (865) all_304_2 = all_286_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | GROUND_INST: instantiating (48) with all_312_2, all_316_2,
% 74.44/10.97 | | | | | | | all_312_0, true, simplifying with (842), (843) gives:
% 74.44/10.97 | | | | | | | (866) all_316_2 = all_312_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | COMBINE_EQS: (858), (859) imply:
% 74.44/10.97 | | | | | | | (867) all_298_2 = all_42_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | COMBINE_EQS: (859), (860) imply:
% 74.44/10.97 | | | | | | | (868) all_298_2 = all_296_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | COMBINE_EQS: (864), (865) imply:
% 74.44/10.97 | | | | | | | (869) all_300_2 = all_286_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | SIMP: (869) implies:
% 74.44/10.97 | | | | | | | (870) all_300_2 = all_286_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | COMBINE_EQS: (856), (857) imply:
% 74.44/10.97 | | | | | | | (871) all_296_2 = all_274_1
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | SIMP: (871) implies:
% 74.44/10.97 | | | | | | | (872) all_296_2 = all_274_1
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | COMBINE_EQS: (863), (870) imply:
% 74.44/10.97 | | | | | | | (873) all_288_2 = all_286_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | SIMP: (873) implies:
% 74.44/10.97 | | | | | | | (874) all_288_2 = all_286_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | COMBINE_EQS: (867), (868) imply:
% 74.44/10.97 | | | | | | | (875) all_296_2 = all_42_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | SIMP: (875) implies:
% 74.44/10.97 | | | | | | | (876) all_296_2 = all_42_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | COMBINE_EQS: (872), (876) imply:
% 74.44/10.97 | | | | | | | (877) all_274_1 = all_42_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | COMBINE_EQS: (861), (874) imply:
% 74.44/10.97 | | | | | | | (878) all_286_2 = false2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | COMBINE_EQS: (862), (874) imply:
% 74.44/10.97 | | | | | | | (879) all_286_2 = all_280_1
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | COMBINE_EQS: (878), (879) imply:
% 74.44/10.97 | | | | | | | (880) all_280_1 = false2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | SIMP: (880) implies:
% 74.44/10.97 | | | | | | | (881) all_280_1 = false2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | REDUCE: (653), (881) imply:
% 74.44/10.97 | | | | | | | (882) f3(false, false, all_44_1) = false2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | REDUCE: (665), (878) imply:
% 74.44/10.97 | | | | | | | (883) f2(true, false, all_44_1) = false2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | GROUND_INST: instantiating (28) with true, false, false2, false2,
% 74.44/10.97 | | | | | | | true, false2, all_312_0, simplifying with (35), (36),
% 74.44/10.97 | | | | | | | (71), (588), (589), (715) gives:
% 74.44/10.97 | | | | | | | (884) ? [v0: $i] : ? [v1: $i] : (f3(true, false, false2) = v0
% 74.44/10.97 | | | | | | | & lazy_impl(v1, all_312_0) = v0 & prop(false2) = v1 &
% 74.44/10.97 | | | | | | | $i(v1) & $i(v0))
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | GROUND_INST: instantiating (25) with false2, true, false2, false2,
% 74.44/10.97 | | | | | | | all_312_0, simplifying with (36), (71), (588), (715)
% 74.44/10.97 | | | | | | | gives:
% 74.44/10.97 | | | | | | | (885) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(false2,
% 74.44/10.97 | | | | | | | true, false2) = v0 & lazy_impl(v1, v2) = v0 &
% 74.44/10.97 | | | | | | | impl(all_312_0, false2) = v2 & prop(false2) = v1 &
% 74.44/10.97 | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | GROUND_INST: instantiating (38) with false2, all_312_0,
% 74.44/10.97 | | | | | | | simplifying with (71), (715) gives:
% 74.44/10.97 | | | | | | | (886) not2(false2) = all_312_0 & $i(all_312_0)
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | ALPHA: (886) implies:
% 74.44/10.97 | | | | | | | (887) $i(all_312_0)
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | GROUND_INST: instantiating (25) with false2, true, all_44_1,
% 74.44/10.97 | | | | | | | all_44_1, all_294_0, simplifying with (36), (58),
% 74.44/10.97 | | | | | | | (71), (598), (679) gives:
% 74.44/10.97 | | | | | | | (888) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(false2,
% 74.44/10.97 | | | | | | | true, all_44_1) = v0 & lazy_impl(v1, v2) = v0 &
% 74.44/10.97 | | | | | | | impl(all_294_0, all_44_1) = v2 & prop(all_44_1) = v1 &
% 74.44/10.97 | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | GROUND_INST: instantiating (28) with all_42_2, false, false2,
% 74.44/10.97 | | | | | | | all_42_0, true, false2, all_284_0, simplifying with
% 74.44/10.97 | | | | | | | (35), (54), (71), (79), (588), (589), (658) gives:
% 74.44/10.97 | | | | | | | (889) ? [v0: $i] : ? [v1: $i] : (f3(all_42_2, false, false2)
% 74.44/10.97 | | | | | | | = v0 & lazy_impl(v1, all_284_0) = v0 & prop(false2) =
% 74.44/10.97 | | | | | | | v1 & $i(v1) & $i(v0))
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | GROUND_INST: instantiating (25) with all_42_0, true, false2,
% 74.44/10.97 | | | | | | | false2, all_284_0, simplifying with (36), (71), (78),
% 74.44/10.97 | | | | | | | (588), (658) gives:
% 74.44/10.97 | | | | | | | (890) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(all_42_0,
% 74.44/10.97 | | | | | | | true, false2) = v0 & lazy_impl(v1, v2) = v0 &
% 74.44/10.97 | | | | | | | impl(all_284_0, false2) = v2 & prop(false2) = v1 &
% 74.44/10.97 | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | GROUND_INST: instantiating (28) with true, false, all_44_1,
% 74.44/10.97 | | | | | | | all_44_1, true, all_44_1, all_308_0, simplifying with
% 74.44/10.97 | | | | | | | (35), (36), (58), (598), (599), (708) gives:
% 74.44/10.97 | | | | | | | (891) ? [v0: $i] : ? [v1: $i] : (f3(true, false, all_44_1) =
% 74.44/10.97 | | | | | | | v0 & lazy_impl(v1, all_308_0) = v0 & prop(all_44_1) =
% 74.44/10.97 | | | | | | | v1 & $i(v1) & $i(v0))
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | GROUND_INST: instantiating (25) with all_44_1, true, all_44_1,
% 74.44/10.97 | | | | | | | all_44_1, all_308_0, simplifying with (36), (58),
% 74.44/10.97 | | | | | | | (598), (708) gives:
% 74.44/10.97 | | | | | | | (892) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(all_44_1,
% 74.44/10.97 | | | | | | | true, all_44_1) = v0 & lazy_impl(v1, v2) = v0 &
% 74.44/10.97 | | | | | | | impl(all_308_0, all_44_1) = v2 & prop(all_44_1) = v1 &
% 74.44/10.97 | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | GROUND_INST: instantiating (27) with true, all_42_0, false2,
% 74.44/10.97 | | | | | | | all_284_0, all_284_2, simplifying with (36), (71),
% 74.44/10.97 | | | | | | | (78), (658), (853) gives:
% 74.44/10.97 | | | | | | | (893) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true,
% 74.44/10.97 | | | | | | | all_42_0, false2) = v0 & lazy_impl(v1, v2) = v0 &
% 74.44/10.97 | | | | | | | impl(all_284_2, false2) = v2 & prop(false2) = v1 &
% 74.44/10.97 | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | GROUND_INST: instantiating (27) with true, false2, all_44_1,
% 74.44/10.97 | | | | | | | all_294_0, all_294_2, simplifying with (36), (58),
% 74.44/10.97 | | | | | | | (71), (679), (850) gives:
% 74.44/10.97 | | | | | | | (894) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true,
% 74.44/10.97 | | | | | | | false2, all_44_1) = v0 & lazy_impl(v1, v2) = v0 &
% 74.44/10.97 | | | | | | | impl(all_294_2, all_44_1) = v2 & prop(all_44_1) = v1 &
% 74.44/10.97 | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | GROUND_INST: instantiating (24) with all_294_0, all_294_2,
% 74.44/10.97 | | | | | | | simplifying with (677), (850) gives:
% 74.44/10.97 | | | | | | | (895) phi(all_294_0) = all_294_2 & $i(all_294_2)
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | ALPHA: (895) implies:
% 74.44/10.97 | | | | | | | (896) phi(all_294_0) = all_294_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | GROUND_INST: instantiating (27) with true, all_44_1, all_44_1,
% 74.44/10.97 | | | | | | | all_308_0, all_308_2, simplifying with (36), (58),
% 74.44/10.97 | | | | | | | (708), (844) gives:
% 74.44/10.97 | | | | | | | (897) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true,
% 74.44/10.97 | | | | | | | all_44_1, all_44_1) = v0 & lazy_impl(v1, v2) = v0 &
% 74.44/10.97 | | | | | | | impl(all_308_2, all_44_1) = v2 & prop(all_44_1) = v1 &
% 74.44/10.97 | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | GROUND_INST: instantiating (24) with all_308_0, all_308_2,
% 74.44/10.97 | | | | | | | simplifying with (706), (844) gives:
% 74.44/10.97 | | | | | | | (898) phi(all_308_0) = all_308_2 & $i(all_308_2)
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | ALPHA: (898) implies:
% 74.44/10.97 | | | | | | | (899) phi(all_308_0) = all_308_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | GROUND_INST: instantiating (27) with true, false2, false2,
% 74.44/10.97 | | | | | | | all_312_0, all_312_2, simplifying with (36), (71),
% 74.44/10.97 | | | | | | | (715), (843) gives:
% 74.44/10.97 | | | | | | | (900) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true,
% 74.44/10.97 | | | | | | | false2, false2) = v0 & lazy_impl(v1, v2) = v0 &
% 74.44/10.97 | | | | | | | impl(all_312_2, false2) = v2 & prop(false2) = v1 &
% 74.44/10.97 | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | GROUND_INST: instantiating (24) with all_312_0, all_312_2,
% 74.44/10.97 | | | | | | | simplifying with (843), (887) gives:
% 74.44/10.97 | | | | | | | (901) phi(all_312_0) = all_312_2 & $i(all_312_2)
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | ALPHA: (901) implies:
% 74.44/10.97 | | | | | | | (902) phi(all_312_0) = all_312_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | DELTA: instantiating (889) with fresh symbols all_342_0, all_342_1
% 74.44/10.97 | | | | | | | gives:
% 74.44/10.97 | | | | | | | (903) f3(all_42_2, false, false2) = all_342_1 &
% 74.44/10.97 | | | | | | | lazy_impl(all_342_0, all_284_0) = all_342_1 &
% 74.44/10.97 | | | | | | | prop(false2) = all_342_0 & $i(all_342_0) & $i(all_342_1)
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | ALPHA: (903) implies:
% 74.44/10.97 | | | | | | | (904) $i(all_342_0)
% 74.44/10.97 | | | | | | | (905) prop(false2) = all_342_0
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | DELTA: instantiating (891) with fresh symbols all_344_0, all_344_1
% 74.44/10.97 | | | | | | | gives:
% 74.44/10.97 | | | | | | | (906) f3(true, false, all_44_1) = all_344_1 &
% 74.44/10.97 | | | | | | | lazy_impl(all_344_0, all_308_0) = all_344_1 &
% 74.44/10.97 | | | | | | | prop(all_44_1) = all_344_0 & $i(all_344_0) &
% 74.44/10.97 | | | | | | | $i(all_344_1)
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | ALPHA: (906) implies:
% 74.44/10.97 | | | | | | | (907) prop(all_44_1) = all_344_0
% 74.44/10.97 | | | | | | | (908) lazy_impl(all_344_0, all_308_0) = all_344_1
% 74.44/10.97 | | | | | | | (909) f3(true, false, all_44_1) = all_344_1
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | DELTA: instantiating (884) with fresh symbols all_348_0, all_348_1
% 74.44/10.97 | | | | | | | gives:
% 74.44/10.97 | | | | | | | (910) f3(true, false, false2) = all_348_1 &
% 74.44/10.97 | | | | | | | lazy_impl(all_348_0, all_312_0) = all_348_1 &
% 74.44/10.97 | | | | | | | prop(false2) = all_348_0 & $i(all_348_0) & $i(all_348_1)
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | ALPHA: (910) implies:
% 74.44/10.97 | | | | | | | (911) prop(false2) = all_348_0
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | DELTA: instantiating (892) with fresh symbols all_354_0,
% 74.44/10.97 | | | | | | | all_354_1, all_354_2 gives:
% 74.44/10.97 | | | | | | | (912) f1(all_44_1, true, all_44_1) = all_354_2 &
% 74.44/10.97 | | | | | | | lazy_impl(all_354_1, all_354_0) = all_354_2 &
% 74.44/10.97 | | | | | | | impl(all_308_0, all_44_1) = all_354_0 & prop(all_44_1) =
% 74.44/10.97 | | | | | | | all_354_1 & $i(all_354_0) & $i(all_354_1) & $i(all_354_2)
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | ALPHA: (912) implies:
% 74.44/10.97 | | | | | | | (913) prop(all_44_1) = all_354_1
% 74.44/10.97 | | | | | | | (914) impl(all_308_0, all_44_1) = all_354_0
% 74.44/10.97 | | | | | | | (915) lazy_impl(all_354_1, all_354_0) = all_354_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | DELTA: instantiating (888) with fresh symbols all_356_0,
% 74.44/10.97 | | | | | | | all_356_1, all_356_2 gives:
% 74.44/10.97 | | | | | | | (916) f1(false2, true, all_44_1) = all_356_2 &
% 74.44/10.97 | | | | | | | lazy_impl(all_356_1, all_356_0) = all_356_2 &
% 74.44/10.97 | | | | | | | impl(all_294_0, all_44_1) = all_356_0 & prop(all_44_1) =
% 74.44/10.97 | | | | | | | all_356_1 & $i(all_356_0) & $i(all_356_1) & $i(all_356_2)
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | ALPHA: (916) implies:
% 74.44/10.97 | | | | | | | (917) prop(all_44_1) = all_356_1
% 74.44/10.97 | | | | | | | (918) impl(all_294_0, all_44_1) = all_356_0
% 74.44/10.97 | | | | | | | (919) lazy_impl(all_356_1, all_356_0) = all_356_2
% 74.44/10.97 | | | | | | |
% 74.44/10.97 | | | | | | | DELTA: instantiating (900) with fresh symbols all_358_0,
% 74.44/10.97 | | | | | | | all_358_1, all_358_2 gives:
% 74.44/10.98 | | | | | | | (920) f2(true, false2, false2) = all_358_2 &
% 74.44/10.98 | | | | | | | lazy_impl(all_358_1, all_358_0) = all_358_2 &
% 74.44/10.98 | | | | | | | impl(all_312_2, false2) = all_358_0 & prop(false2) =
% 74.44/10.98 | | | | | | | all_358_1 & $i(all_358_0) & $i(all_358_1) & $i(all_358_2)
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | ALPHA: (920) implies:
% 74.44/10.98 | | | | | | | (921) prop(false2) = all_358_1
% 74.44/10.98 | | | | | | | (922) impl(all_312_2, false2) = all_358_0
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | DELTA: instantiating (890) with fresh symbols all_360_0,
% 74.44/10.98 | | | | | | | all_360_1, all_360_2 gives:
% 74.44/10.98 | | | | | | | (923) f1(all_42_0, true, false2) = all_360_2 &
% 74.44/10.98 | | | | | | | lazy_impl(all_360_1, all_360_0) = all_360_2 &
% 74.44/10.98 | | | | | | | impl(all_284_0, false2) = all_360_0 & prop(false2) =
% 74.44/10.98 | | | | | | | all_360_1 & $i(all_360_0) & $i(all_360_1) & $i(all_360_2)
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | ALPHA: (923) implies:
% 74.44/10.98 | | | | | | | (924) prop(false2) = all_360_1
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | DELTA: instantiating (894) with fresh symbols all_364_0,
% 74.44/10.98 | | | | | | | all_364_1, all_364_2 gives:
% 74.44/10.98 | | | | | | | (925) f2(true, false2, all_44_1) = all_364_2 &
% 74.44/10.98 | | | | | | | lazy_impl(all_364_1, all_364_0) = all_364_2 &
% 74.44/10.98 | | | | | | | impl(all_294_2, all_44_1) = all_364_0 & prop(all_44_1) =
% 74.44/10.98 | | | | | | | all_364_1 & $i(all_364_0) & $i(all_364_1) & $i(all_364_2)
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | ALPHA: (925) implies:
% 74.44/10.98 | | | | | | | (926) prop(all_44_1) = all_364_1
% 74.44/10.98 | | | | | | | (927) impl(all_294_2, all_44_1) = all_364_0
% 74.44/10.98 | | | | | | | (928) lazy_impl(all_364_1, all_364_0) = all_364_2
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | DELTA: instantiating (885) with fresh symbols all_368_0,
% 74.44/10.98 | | | | | | | all_368_1, all_368_2 gives:
% 74.44/10.98 | | | | | | | (929) f1(false2, true, false2) = all_368_2 &
% 74.44/10.98 | | | | | | | lazy_impl(all_368_1, all_368_0) = all_368_2 &
% 74.44/10.98 | | | | | | | impl(all_312_0, false2) = all_368_0 & prop(false2) =
% 74.44/10.98 | | | | | | | all_368_1 & $i(all_368_0) & $i(all_368_1) & $i(all_368_2)
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | ALPHA: (929) implies:
% 74.44/10.98 | | | | | | | (930) prop(false2) = all_368_1
% 74.44/10.98 | | | | | | | (931) impl(all_312_0, false2) = all_368_0
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | DELTA: instantiating (893) with fresh symbols all_370_0,
% 74.44/10.98 | | | | | | | all_370_1, all_370_2 gives:
% 74.44/10.98 | | | | | | | (932) f2(true, all_42_0, false2) = all_370_2 &
% 74.44/10.98 | | | | | | | lazy_impl(all_370_1, all_370_0) = all_370_2 &
% 74.44/10.98 | | | | | | | impl(all_284_2, false2) = all_370_0 & prop(false2) =
% 74.44/10.98 | | | | | | | all_370_1 & $i(all_370_0) & $i(all_370_1) & $i(all_370_2)
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | ALPHA: (932) implies:
% 74.44/10.98 | | | | | | | (933) prop(false2) = all_370_1
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | DELTA: instantiating (897) with fresh symbols all_372_0,
% 74.44/10.98 | | | | | | | all_372_1, all_372_2 gives:
% 74.44/10.98 | | | | | | | (934) f2(true, all_44_1, all_44_1) = all_372_2 &
% 74.44/10.98 | | | | | | | lazy_impl(all_372_1, all_372_0) = all_372_2 &
% 74.44/10.98 | | | | | | | impl(all_308_2, all_44_1) = all_372_0 & prop(all_44_1) =
% 74.44/10.98 | | | | | | | all_372_1 & $i(all_372_0) & $i(all_372_1) & $i(all_372_2)
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | ALPHA: (934) implies:
% 74.44/10.98 | | | | | | | (935) prop(all_44_1) = all_372_1
% 74.44/10.98 | | | | | | | (936) impl(all_308_2, all_44_1) = all_372_0
% 74.44/10.98 | | | | | | | (937) lazy_impl(all_372_1, all_372_0) = all_372_2
% 74.44/10.98 | | | | | | | (938) f2(true, all_44_1, all_44_1) = all_372_2
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | GROUND_INST: instantiating (43) with true, all_348_0, false2,
% 74.44/10.98 | | | | | | | simplifying with (590), (911) gives:
% 74.44/10.98 | | | | | | | (939) all_348_0 = true
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | GROUND_INST: instantiating (43) with all_348_0, all_358_1, false2,
% 74.44/10.98 | | | | | | | simplifying with (911), (921) gives:
% 74.44/10.98 | | | | | | | (940) all_358_1 = all_348_0
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | GROUND_INST: instantiating (43) with all_360_1, all_368_1, false2,
% 74.44/10.98 | | | | | | | simplifying with (924), (930) gives:
% 74.44/10.98 | | | | | | | (941) all_368_1 = all_360_1
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | GROUND_INST: instantiating (43) with all_358_1, all_368_1, false2,
% 74.44/10.98 | | | | | | | simplifying with (921), (930) gives:
% 74.44/10.98 | | | | | | | (942) all_368_1 = all_358_1
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | GROUND_INST: instantiating (43) with all_368_1, all_370_1, false2,
% 74.44/10.98 | | | | | | | simplifying with (930), (933) gives:
% 74.44/10.98 | | | | | | | (943) all_370_1 = all_368_1
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | GROUND_INST: instantiating (43) with all_342_0, all_370_1, false2,
% 74.44/10.98 | | | | | | | simplifying with (905), (933) gives:
% 74.44/10.98 | | | | | | | (944) all_370_1 = all_342_0
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | GROUND_INST: instantiating (43) with all_354_1, all_356_1,
% 74.44/10.98 | | | | | | | all_44_1, simplifying with (913), (917) gives:
% 74.44/10.98 | | | | | | | (945) all_356_1 = all_354_1
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | GROUND_INST: instantiating (43) with true, all_364_1, all_44_1,
% 74.44/10.98 | | | | | | | simplifying with (585), (926) gives:
% 74.44/10.98 | | | | | | | (946) all_364_1 = true
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | GROUND_INST: instantiating (43) with all_354_1, all_364_1,
% 74.44/10.98 | | | | | | | all_44_1, simplifying with (913), (926) gives:
% 74.44/10.98 | | | | | | | (947) all_364_1 = all_354_1
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | GROUND_INST: instantiating (43) with all_356_1, all_372_1,
% 74.44/10.98 | | | | | | | all_44_1, simplifying with (917), (935) gives:
% 74.44/10.98 | | | | | | | (948) all_372_1 = all_356_1
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | GROUND_INST: instantiating (43) with all_344_0, all_372_1,
% 74.44/10.98 | | | | | | | all_44_1, simplifying with (907), (935) gives:
% 74.44/10.98 | | | | | | | (949) all_372_1 = all_344_0
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | COMBINE_EQS: (948), (949) imply:
% 74.44/10.98 | | | | | | | (950) all_356_1 = all_344_0
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | SIMP: (950) implies:
% 74.44/10.98 | | | | | | | (951) all_356_1 = all_344_0
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | COMBINE_EQS: (943), (944) imply:
% 74.44/10.98 | | | | | | | (952) all_368_1 = all_342_0
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | SIMP: (952) implies:
% 74.44/10.98 | | | | | | | (953) all_368_1 = all_342_0
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | COMBINE_EQS: (941), (953) imply:
% 74.44/10.98 | | | | | | | (954) all_360_1 = all_342_0
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | COMBINE_EQS: (941), (942) imply:
% 74.44/10.98 | | | | | | | (955) all_360_1 = all_358_1
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | COMBINE_EQS: (946), (947) imply:
% 74.44/10.98 | | | | | | | (956) all_354_1 = true
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | SIMP: (956) implies:
% 74.44/10.98 | | | | | | | (957) all_354_1 = true
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | COMBINE_EQS: (954), (955) imply:
% 74.44/10.98 | | | | | | | (958) all_358_1 = all_342_0
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | SIMP: (958) implies:
% 74.44/10.98 | | | | | | | (959) all_358_1 = all_342_0
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | COMBINE_EQS: (940), (959) imply:
% 74.44/10.98 | | | | | | | (960) all_348_0 = all_342_0
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | SIMP: (960) implies:
% 74.44/10.98 | | | | | | | (961) all_348_0 = all_342_0
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | COMBINE_EQS: (945), (951) imply:
% 74.44/10.98 | | | | | | | (962) all_354_1 = all_344_0
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | SIMP: (962) implies:
% 74.44/10.98 | | | | | | | (963) all_354_1 = all_344_0
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | COMBINE_EQS: (957), (963) imply:
% 74.44/10.98 | | | | | | | (964) all_344_0 = true
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | COMBINE_EQS: (939), (961) imply:
% 74.44/10.98 | | | | | | | (965) all_342_0 = true
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | COMBINE_EQS: (951), (964) imply:
% 74.44/10.98 | | | | | | | (966) all_356_1 = true
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | COMBINE_EQS: (949), (964) imply:
% 74.44/10.98 | | | | | | | (967) all_372_1 = true
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | REDUCE: (937), (967) imply:
% 74.44/10.98 | | | | | | | (968) lazy_impl(true, all_372_0) = all_372_2
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | REDUCE: (928), (946) imply:
% 74.44/10.98 | | | | | | | (969) lazy_impl(true, all_364_0) = all_364_2
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | REDUCE: (919), (966) imply:
% 74.44/10.98 | | | | | | | (970) lazy_impl(true, all_356_0) = all_356_2
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | REDUCE: (915), (957) imply:
% 74.44/10.98 | | | | | | | (971) lazy_impl(true, all_354_0) = all_354_2
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | REDUCE: (908), (964) imply:
% 74.44/10.98 | | | | | | | (972) lazy_impl(true, all_308_0) = all_344_1
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | GROUND_INST: instantiating (48) with all_308_2, all_344_1,
% 74.44/10.98 | | | | | | | all_308_0, true, simplifying with (844), (972) gives:
% 74.44/10.98 | | | | | | | (973) all_344_1 = all_308_2
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | REDUCE: (909), (973) imply:
% 74.44/10.98 | | | | | | | (974) f3(true, false, all_44_1) = all_308_2
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | GROUND_INST: instantiating (32) with all_294_0, all_294_2,
% 74.44/10.98 | | | | | | | simplifying with (677), (896) gives:
% 74.44/10.98 | | | | | | | (975) ? [v0: any] : ? [v1: $i] : (not1(all_294_0) = v1 &
% 74.44/10.98 | | | | | | | bool(all_294_0) = v0 & $i(v1) & (v1 = all_294_2 | v0 =
% 74.44/10.98 | | | | | | | 0))
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | GROUND_INST: instantiating (13) with all_294_0, all_294_2,
% 74.44/10.98 | | | | | | | simplifying with (677), (896) gives:
% 74.44/10.98 | | | | | | | (976) ? [v0: any] : (d(all_294_0) = v0 & ((v0 = 0 & all_294_0
% 74.44/10.98 | | | | | | | = all_294_2) | (all_294_2 = err & ~ (v0 = 0))))
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | GROUND_INST: instantiating (26) with all_294_0, all_294_2,
% 74.44/10.98 | | | | | | | simplifying with (677), (896) gives:
% 74.44/10.98 | | | | | | | (977) lazy_and1(true, all_294_0) = all_294_2 & $i(all_294_2)
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | ALPHA: (977) implies:
% 74.44/10.98 | | | | | | | (978) $i(all_294_2)
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | GROUND_INST: instantiating (32) with all_308_0, all_308_2,
% 74.44/10.98 | | | | | | | simplifying with (706), (899) gives:
% 74.44/10.98 | | | | | | | (979) ? [v0: any] : ? [v1: $i] : (not1(all_308_0) = v1 &
% 74.44/10.98 | | | | | | | bool(all_308_0) = v0 & $i(v1) & (v1 = all_308_2 | v0 =
% 74.44/10.98 | | | | | | | 0))
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | GROUND_INST: instantiating (26) with all_308_0, all_308_2,
% 74.44/10.98 | | | | | | | simplifying with (706), (899) gives:
% 74.44/10.98 | | | | | | | (980) lazy_and1(true, all_308_0) = all_308_2 & $i(all_308_2)
% 74.44/10.98 | | | | | | |
% 74.44/10.98 | | | | | | | ALPHA: (980) implies:
% 74.58/10.98 | | | | | | | (981) $i(all_308_2)
% 74.58/10.98 | | | | | | |
% 74.58/10.98 | | | | | | | GROUND_INST: instantiating (32) with all_312_0, all_312_2,
% 74.58/10.98 | | | | | | | simplifying with (887), (902) gives:
% 74.58/10.98 | | | | | | | (982) ? [v0: any] : ? [v1: $i] : (not1(all_312_0) = v1 &
% 74.58/10.98 | | | | | | | bool(all_312_0) = v0 & $i(v1) & (v1 = all_312_2 | v0 =
% 74.58/10.98 | | | | | | | 0))
% 74.58/10.98 | | | | | | |
% 74.58/10.98 | | | | | | | GROUND_INST: instantiating (26) with all_312_0, all_312_2,
% 74.58/10.98 | | | | | | | simplifying with (887), (902) gives:
% 74.58/10.98 | | | | | | | (983) lazy_and1(true, all_312_0) = all_312_2 & $i(all_312_2)
% 74.58/10.98 | | | | | | |
% 74.58/10.98 | | | | | | | ALPHA: (983) implies:
% 74.58/10.98 | | | | | | | (984) $i(all_312_2)
% 74.58/10.98 | | | | | | |
% 74.58/10.98 | | | | | | | GROUND_INST: instantiating (25) with all_294_2, true, all_44_1,
% 74.58/10.98 | | | | | | | all_44_1, all_364_0, simplifying with (36), (58),
% 74.58/10.98 | | | | | | | (598), (927), (978) gives:
% 74.58/10.98 | | | | | | | (985) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(all_294_2,
% 74.58/10.98 | | | | | | | true, all_44_1) = v0 & lazy_impl(v1, v2) = v0 &
% 74.58/10.98 | | | | | | | impl(all_364_0, all_44_1) = v2 & prop(all_44_1) = v1 &
% 74.58/10.98 | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.58/10.98 | | | | | | |
% 74.58/10.98 | | | | | | | GROUND_INST: instantiating (25) with all_294_0, true, all_44_1,
% 74.58/10.98 | | | | | | | all_44_1, all_356_0, simplifying with (36), (58),
% 74.58/10.98 | | | | | | | (598), (677), (918) gives:
% 74.58/10.98 | | | | | | | (986) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(all_294_0,
% 74.58/10.98 | | | | | | | true, all_44_1) = v0 & lazy_impl(v1, v2) = v0 &
% 74.58/10.98 | | | | | | | impl(all_356_0, all_44_1) = v2 & prop(all_44_1) = v1 &
% 74.58/10.98 | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.58/10.98 | | | | | | |
% 74.58/10.98 | | | | | | | GROUND_INST: instantiating (25) with all_308_2, true, all_44_1,
% 74.58/10.98 | | | | | | | all_44_1, all_372_0, simplifying with (36), (58),
% 74.58/10.98 | | | | | | | (598), (936), (981) gives:
% 74.58/10.98 | | | | | | | (987) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(all_308_2,
% 74.58/10.98 | | | | | | | true, all_44_1) = v0 & lazy_impl(v1, v2) = v0 &
% 74.58/10.98 | | | | | | | impl(all_372_0, all_44_1) = v2 & prop(all_44_1) = v1 &
% 74.58/10.98 | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.58/10.98 | | | | | | |
% 74.58/10.98 | | | | | | | GROUND_INST: instantiating (28) with all_44_1, false, all_44_1,
% 74.58/10.98 | | | | | | | all_308_0, true, all_44_1, all_354_0, simplifying
% 74.58/10.98 | | | | | | | with (35), (58), (598), (599), (708), (914) gives:
% 74.58/10.98 | | | | | | | (988) ? [v0: $i] : ? [v1: $i] : (f3(all_44_1, false,
% 74.58/10.98 | | | | | | | all_44_1) = v0 & lazy_impl(v1, all_354_0) = v0 &
% 74.58/10.98 | | | | | | | prop(all_44_1) = v1 & $i(v1) & $i(v0))
% 74.58/10.98 | | | | | | |
% 74.58/10.98 | | | | | | | GROUND_INST: instantiating (25) with all_308_0, true, all_44_1,
% 74.58/10.98 | | | | | | | all_44_1, all_354_0, simplifying with (36), (58),
% 74.58/10.98 | | | | | | | (598), (706), (914) gives:
% 74.58/10.98 | | | | | | | (989) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(all_308_0,
% 74.58/10.98 | | | | | | | true, all_44_1) = v0 & lazy_impl(v1, v2) = v0 &
% 74.58/10.98 | | | | | | | impl(all_354_0, all_44_1) = v2 & prop(all_44_1) = v1 &
% 74.58/10.98 | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.58/10.98 | | | | | | |
% 74.58/10.98 | | | | | | | GROUND_INST: instantiating (38) with all_312_2, all_358_0,
% 74.58/10.98 | | | | | | | simplifying with (922), (984) gives:
% 74.58/10.98 | | | | | | | (990) not2(all_312_2) = all_358_0 & $i(all_358_0)
% 74.58/10.98 | | | | | | |
% 74.58/10.98 | | | | | | | ALPHA: (990) implies:
% 74.58/10.98 | | | | | | | (991) not2(all_312_2) = all_358_0
% 74.58/10.98 | | | | | | |
% 74.58/10.98 | | | | | | | GROUND_INST: instantiating (38) with all_312_0, all_368_0,
% 74.58/10.98 | | | | | | | simplifying with (887), (931) gives:
% 74.58/10.98 | | | | | | | (992) not2(all_312_0) = all_368_0 & $i(all_368_0)
% 74.58/10.98 | | | | | | |
% 74.58/10.98 | | | | | | | ALPHA: (992) implies:
% 74.58/10.98 | | | | | | | (993) not2(all_312_0) = all_368_0
% 74.58/10.98 | | | | | | |
% 74.58/10.98 | | | | | | | GROUND_INST: instantiating (27) with true, all_308_0, all_44_1,
% 74.58/10.98 | | | | | | | all_354_0, all_354_2, simplifying with (36), (58),
% 74.58/10.98 | | | | | | | (706), (914), (971) gives:
% 74.58/10.98 | | | | | | | (994) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true,
% 74.58/10.98 | | | | | | | all_308_0, all_44_1) = v0 & lazy_impl(v1, v2) = v0 &
% 74.58/10.98 | | | | | | | impl(all_354_2, all_44_1) = v2 & prop(all_44_1) = v1 &
% 74.58/10.98 | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.58/10.98 | | | | | | |
% 74.58/10.98 | | | | | | | GROUND_INST: instantiating (27) with true, all_294_0, all_44_1,
% 74.58/10.98 | | | | | | | all_356_0, all_356_2, simplifying with (36), (58),
% 74.58/10.98 | | | | | | | (677), (918), (970) gives:
% 74.58/10.98 | | | | | | | (995) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true,
% 74.58/10.98 | | | | | | | all_294_0, all_44_1) = v0 & lazy_impl(v1, v2) = v0 &
% 74.58/10.98 | | | | | | | impl(all_356_2, all_44_1) = v2 & prop(all_44_1) = v1 &
% 74.58/10.98 | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.58/10.98 | | | | | | |
% 74.58/10.98 | | | | | | | GROUND_INST: instantiating (27) with true, all_294_2, all_44_1,
% 74.58/10.98 | | | | | | | all_364_0, all_364_2, simplifying with (36), (58),
% 74.58/10.98 | | | | | | | (927), (969), (978) gives:
% 74.58/10.98 | | | | | | | (996) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true,
% 74.58/10.98 | | | | | | | all_294_2, all_44_1) = v0 & lazy_impl(v1, v2) = v0 &
% 74.58/10.98 | | | | | | | impl(all_364_2, all_44_1) = v2 & prop(all_44_1) = v1 &
% 74.58/10.98 | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.58/10.98 | | | | | | |
% 74.58/10.98 | | | | | | | GROUND_INST: instantiating (27) with true, all_308_2, all_44_1,
% 74.58/10.98 | | | | | | | all_372_0, all_372_2, simplifying with (36), (58),
% 74.58/10.98 | | | | | | | (936), (968), (981) gives:
% 74.58/10.99 | | | | | | | (997) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true,
% 74.58/10.99 | | | | | | | all_308_2, all_44_1) = v0 & lazy_impl(v1, v2) = v0 &
% 74.58/10.99 | | | | | | | impl(all_372_2, all_44_1) = v2 & prop(all_44_1) = v1 &
% 74.58/10.99 | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | DELTA: instantiating (979) with fresh symbols all_390_0, all_390_1
% 74.58/10.99 | | | | | | | gives:
% 74.58/10.99 | | | | | | | (998) not1(all_308_0) = all_390_0 & bool(all_308_0) = all_390_1
% 74.58/10.99 | | | | | | | & $i(all_390_0) & (all_390_0 = all_308_2 | all_390_1 = 0)
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | ALPHA: (998) implies:
% 74.58/10.99 | | | | | | | (999) not1(all_308_0) = all_390_0
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | DELTA: instantiating (988) with fresh symbols all_426_0, all_426_1
% 74.58/10.99 | | | | | | | gives:
% 74.58/10.99 | | | | | | | (1000) f3(all_44_1, false, all_44_1) = all_426_1 &
% 74.58/10.99 | | | | | | | lazy_impl(all_426_0, all_354_0) = all_426_1 &
% 74.58/10.99 | | | | | | | prop(all_44_1) = all_426_0 & $i(all_426_0) &
% 74.58/10.99 | | | | | | | $i(all_426_1)
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | ALPHA: (1000) implies:
% 74.58/10.99 | | | | | | | (1001) prop(all_44_1) = all_426_0
% 74.58/10.99 | | | | | | | (1002) lazy_impl(all_426_0, all_354_0) = all_426_1
% 74.58/10.99 | | | | | | | (1003) f3(all_44_1, false, all_44_1) = all_426_1
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | DELTA: instantiating (982) with fresh symbols all_428_0, all_428_1
% 74.58/10.99 | | | | | | | gives:
% 74.58/10.99 | | | | | | | (1004) not1(all_312_0) = all_428_0 & bool(all_312_0) =
% 74.58/10.99 | | | | | | | all_428_1 & $i(all_428_0) & (all_428_0 = all_312_2 |
% 74.58/10.99 | | | | | | | all_428_1 = 0)
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | ALPHA: (1004) implies:
% 74.58/10.99 | | | | | | | (1005) not1(all_312_0) = all_428_0
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | DELTA: instantiating (976) with fresh symbol all_432_0 gives:
% 74.58/10.99 | | | | | | | (1006) d(all_294_0) = all_432_0 & ((all_432_0 = 0 & all_294_0 =
% 74.58/10.99 | | | | | | | all_294_2) | (all_294_2 = err & ~ (all_432_0 = 0)))
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | ALPHA: (1006) implies:
% 74.58/10.99 | | | | | | | (1007) (all_432_0 = 0 & all_294_0 = all_294_2) | (all_294_2 =
% 74.58/10.99 | | | | | | | err & ~ (all_432_0 = 0))
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | DELTA: instantiating (975) with fresh symbols all_438_0, all_438_1
% 74.58/10.99 | | | | | | | gives:
% 74.58/10.99 | | | | | | | (1008) not1(all_294_0) = all_438_0 & bool(all_294_0) =
% 74.58/10.99 | | | | | | | all_438_1 & $i(all_438_0) & (all_438_0 = all_294_2 |
% 74.58/10.99 | | | | | | | all_438_1 = 0)
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | ALPHA: (1008) implies:
% 74.58/10.99 | | | | | | | (1009) not1(all_294_0) = all_438_0
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | DELTA: instantiating (997) with fresh symbols all_458_0,
% 74.58/10.99 | | | | | | | all_458_1, all_458_2 gives:
% 74.58/10.99 | | | | | | | (1010) f2(true, all_308_2, all_44_1) = all_458_2 &
% 74.58/10.99 | | | | | | | lazy_impl(all_458_1, all_458_0) = all_458_2 &
% 74.58/10.99 | | | | | | | impl(all_372_2, all_44_1) = all_458_0 & prop(all_44_1) =
% 74.58/10.99 | | | | | | | all_458_1 & $i(all_458_0) & $i(all_458_1) &
% 74.58/10.99 | | | | | | | $i(all_458_2)
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | ALPHA: (1010) implies:
% 74.58/10.99 | | | | | | | (1011) prop(all_44_1) = all_458_1
% 74.58/10.99 | | | | | | | (1012) impl(all_372_2, all_44_1) = all_458_0
% 74.58/10.99 | | | | | | | (1013) f2(true, all_308_2, all_44_1) = all_458_2
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | DELTA: instantiating (989) with fresh symbols all_466_0,
% 74.58/10.99 | | | | | | | all_466_1, all_466_2 gives:
% 74.58/10.99 | | | | | | | (1014) f1(all_308_0, true, all_44_1) = all_466_2 &
% 74.58/10.99 | | | | | | | lazy_impl(all_466_1, all_466_0) = all_466_2 &
% 74.58/10.99 | | | | | | | impl(all_354_0, all_44_1) = all_466_0 & prop(all_44_1) =
% 74.58/10.99 | | | | | | | all_466_1 & $i(all_466_0) & $i(all_466_1) &
% 74.58/10.99 | | | | | | | $i(all_466_2)
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | ALPHA: (1014) implies:
% 74.58/10.99 | | | | | | | (1015) prop(all_44_1) = all_466_1
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | DELTA: instantiating (996) with fresh symbols all_472_0,
% 74.58/10.99 | | | | | | | all_472_1, all_472_2 gives:
% 74.58/10.99 | | | | | | | (1016) f2(true, all_294_2, all_44_1) = all_472_2 &
% 74.58/10.99 | | | | | | | lazy_impl(all_472_1, all_472_0) = all_472_2 &
% 74.58/10.99 | | | | | | | impl(all_364_2, all_44_1) = all_472_0 & prop(all_44_1) =
% 74.58/10.99 | | | | | | | all_472_1 & $i(all_472_0) & $i(all_472_1) &
% 74.58/10.99 | | | | | | | $i(all_472_2)
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | ALPHA: (1016) implies:
% 74.58/10.99 | | | | | | | (1017) prop(all_44_1) = all_472_1
% 74.58/10.99 | | | | | | | (1018) f2(true, all_294_2, all_44_1) = all_472_2
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | DELTA: instantiating (995) with fresh symbols all_478_0,
% 74.58/10.99 | | | | | | | all_478_1, all_478_2 gives:
% 74.58/10.99 | | | | | | | (1019) f2(true, all_294_0, all_44_1) = all_478_2 &
% 74.58/10.99 | | | | | | | lazy_impl(all_478_1, all_478_0) = all_478_2 &
% 74.58/10.99 | | | | | | | impl(all_356_2, all_44_1) = all_478_0 & prop(all_44_1) =
% 74.58/10.99 | | | | | | | all_478_1 & $i(all_478_0) & $i(all_478_1) &
% 74.58/10.99 | | | | | | | $i(all_478_2)
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | ALPHA: (1019) implies:
% 74.58/10.99 | | | | | | | (1020) prop(all_44_1) = all_478_1
% 74.58/10.99 | | | | | | | (1021) f2(true, all_294_0, all_44_1) = all_478_2
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | DELTA: instantiating (986) with fresh symbols all_486_0,
% 74.58/10.99 | | | | | | | all_486_1, all_486_2 gives:
% 74.58/10.99 | | | | | | | (1022) f1(all_294_0, true, all_44_1) = all_486_2 &
% 74.58/10.99 | | | | | | | lazy_impl(all_486_1, all_486_0) = all_486_2 &
% 74.58/10.99 | | | | | | | impl(all_356_0, all_44_1) = all_486_0 & prop(all_44_1) =
% 74.58/10.99 | | | | | | | all_486_1 & $i(all_486_0) & $i(all_486_1) &
% 74.58/10.99 | | | | | | | $i(all_486_2)
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | ALPHA: (1022) implies:
% 74.58/10.99 | | | | | | | (1023) prop(all_44_1) = all_486_1
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | DELTA: instantiating (985) with fresh symbols all_490_0,
% 74.58/10.99 | | | | | | | all_490_1, all_490_2 gives:
% 74.58/10.99 | | | | | | | (1024) f1(all_294_2, true, all_44_1) = all_490_2 &
% 74.58/10.99 | | | | | | | lazy_impl(all_490_1, all_490_0) = all_490_2 &
% 74.58/10.99 | | | | | | | impl(all_364_0, all_44_1) = all_490_0 & prop(all_44_1) =
% 74.58/10.99 | | | | | | | all_490_1 & $i(all_490_0) & $i(all_490_1) &
% 74.58/10.99 | | | | | | | $i(all_490_2)
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | ALPHA: (1024) implies:
% 74.58/10.99 | | | | | | | (1025) prop(all_44_1) = all_490_1
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | DELTA: instantiating (994) with fresh symbols all_494_0,
% 74.58/10.99 | | | | | | | all_494_1, all_494_2 gives:
% 74.58/10.99 | | | | | | | (1026) f2(true, all_308_0, all_44_1) = all_494_2 &
% 74.58/10.99 | | | | | | | lazy_impl(all_494_1, all_494_0) = all_494_2 &
% 74.58/10.99 | | | | | | | impl(all_354_2, all_44_1) = all_494_0 & prop(all_44_1) =
% 74.58/10.99 | | | | | | | all_494_1 & $i(all_494_0) & $i(all_494_1) &
% 74.58/10.99 | | | | | | | $i(all_494_2)
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | ALPHA: (1026) implies:
% 74.58/10.99 | | | | | | | (1027) prop(all_44_1) = all_494_1
% 74.58/10.99 | | | | | | | (1028) impl(all_354_2, all_44_1) = all_494_0
% 74.58/10.99 | | | | | | | (1029) f2(true, all_308_0, all_44_1) = all_494_2
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | DELTA: instantiating (987) with fresh symbols all_496_0,
% 74.58/10.99 | | | | | | | all_496_1, all_496_2 gives:
% 74.58/10.99 | | | | | | | (1030) f1(all_308_2, true, all_44_1) = all_496_2 &
% 74.58/10.99 | | | | | | | lazy_impl(all_496_1, all_496_0) = all_496_2 &
% 74.58/10.99 | | | | | | | impl(all_372_0, all_44_1) = all_496_0 & prop(all_44_1) =
% 74.58/10.99 | | | | | | | all_496_1 & $i(all_496_0) & $i(all_496_1) &
% 74.58/10.99 | | | | | | | $i(all_496_2)
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | ALPHA: (1030) implies:
% 74.58/10.99 | | | | | | | (1031) prop(all_44_1) = all_496_1
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | GROUND_INST: instantiating (43) with all_458_1, all_466_1,
% 74.58/10.99 | | | | | | | all_44_1, simplifying with (1011), (1015) gives:
% 74.58/10.99 | | | | | | | (1032) all_466_1 = all_458_1
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | GROUND_INST: instantiating (43) with all_478_1, all_486_1,
% 74.58/10.99 | | | | | | | all_44_1, simplifying with (1020), (1023) gives:
% 74.58/10.99 | | | | | | | (1033) all_486_1 = all_478_1
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | GROUND_INST: instantiating (43) with all_472_1, all_486_1,
% 74.58/10.99 | | | | | | | all_44_1, simplifying with (1017), (1023) gives:
% 74.58/10.99 | | | | | | | (1034) all_486_1 = all_472_1
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | GROUND_INST: instantiating (43) with all_458_1, all_486_1,
% 74.58/10.99 | | | | | | | all_44_1, simplifying with (1011), (1023) gives:
% 74.58/10.99 | | | | | | | (1035) all_486_1 = all_458_1
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | GROUND_INST: instantiating (43) with all_466_1, all_490_1,
% 74.58/10.99 | | | | | | | all_44_1, simplifying with (1015), (1025) gives:
% 74.58/10.99 | | | | | | | (1036) all_490_1 = all_466_1
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | GROUND_INST: instantiating (43) with true, all_494_1, all_44_1,
% 74.58/10.99 | | | | | | | simplifying with (585), (1027) gives:
% 74.58/10.99 | | | | | | | (1037) all_494_1 = true
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | GROUND_INST: instantiating (43) with all_490_1, all_494_1,
% 74.58/10.99 | | | | | | | all_44_1, simplifying with (1025), (1027) gives:
% 74.58/10.99 | | | | | | | (1038) all_494_1 = all_490_1
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | GROUND_INST: instantiating (43) with all_478_1, all_496_1,
% 74.58/10.99 | | | | | | | all_44_1, simplifying with (1020), (1031) gives:
% 74.58/10.99 | | | | | | | (1039) all_496_1 = all_478_1
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | GROUND_INST: instantiating (43) with all_426_0, all_496_1,
% 74.58/10.99 | | | | | | | all_44_1, simplifying with (1001), (1031) gives:
% 74.58/10.99 | | | | | | | (1040) all_496_1 = all_426_0
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | COMBINE_EQS: (1039), (1040) imply:
% 74.58/10.99 | | | | | | | (1041) all_478_1 = all_426_0
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | SIMP: (1041) implies:
% 74.58/10.99 | | | | | | | (1042) all_478_1 = all_426_0
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | COMBINE_EQS: (1037), (1038) imply:
% 74.58/10.99 | | | | | | | (1043) all_490_1 = true
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | SIMP: (1043) implies:
% 74.58/10.99 | | | | | | | (1044) all_490_1 = true
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | COMBINE_EQS: (1036), (1044) imply:
% 74.58/10.99 | | | | | | | (1045) all_466_1 = true
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | SIMP: (1045) implies:
% 74.58/10.99 | | | | | | | (1046) all_466_1 = true
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | COMBINE_EQS: (1033), (1034) imply:
% 74.58/10.99 | | | | | | | (1047) all_478_1 = all_472_1
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | SIMP: (1047) implies:
% 74.58/10.99 | | | | | | | (1048) all_478_1 = all_472_1
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | COMBINE_EQS: (1034), (1035) imply:
% 74.58/10.99 | | | | | | | (1049) all_472_1 = all_458_1
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | COMBINE_EQS: (1042), (1048) imply:
% 74.58/10.99 | | | | | | | (1050) all_472_1 = all_426_0
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | SIMP: (1050) implies:
% 74.58/10.99 | | | | | | | (1051) all_472_1 = all_426_0
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | COMBINE_EQS: (1049), (1051) imply:
% 74.58/10.99 | | | | | | | (1052) all_458_1 = all_426_0
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | SIMP: (1052) implies:
% 74.58/10.99 | | | | | | | (1053) all_458_1 = all_426_0
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | COMBINE_EQS: (1032), (1046) imply:
% 74.58/10.99 | | | | | | | (1054) all_458_1 = true
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | SIMP: (1054) implies:
% 74.58/10.99 | | | | | | | (1055) all_458_1 = true
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | COMBINE_EQS: (1053), (1055) imply:
% 74.58/10.99 | | | | | | | (1056) all_426_0 = true
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | SIMP: (1056) implies:
% 74.58/10.99 | | | | | | | (1057) all_426_0 = true
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | REDUCE: (1002), (1057) imply:
% 74.58/10.99 | | | | | | | (1058) lazy_impl(true, all_354_0) = all_426_1
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | GROUND_INST: instantiating (48) with all_354_2, all_426_1,
% 74.58/10.99 | | | | | | | all_354_0, true, simplifying with (971), (1058)
% 74.58/10.99 | | | | | | | gives:
% 74.58/10.99 | | | | | | | (1059) all_426_1 = all_354_2
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | REDUCE: (1003), (1059) imply:
% 74.58/10.99 | | | | | | | (1060) f3(all_44_1, false, all_44_1) = all_354_2
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | BETA: splitting (597) gives:
% 74.58/10.99 | | | | | | |
% 74.58/10.99 | | | | | | | Case 1:
% 74.58/10.99 | | | | | | | |
% 74.58/10.99 | | | | | | | | (1061) all_44_1 = true
% 74.58/10.99 | | | | | | | |
% 74.58/10.99 | | | | | | | | REDUCE: (568), (1061) imply:
% 74.58/10.99 | | | | | | | | (1062) f7(true) = false2
% 74.58/10.99 | | | | | | | |
% 74.58/10.99 | | | | | | | | GROUND_INST: instantiating (44) with true, false2, true,
% 74.58/10.99 | | | | | | | | simplifying with (437), (1062) gives:
% 74.58/10.99 | | | | | | | | (1063) false2 = true
% 74.58/10.99 | | | | | | | |
% 74.58/10.99 | | | | | | | | REDUCE: (571), (1063) imply:
% 74.58/10.99 | | | | | | | | (1064) forallprefers(false, true) = all_178_0
% 74.58/10.99 | | | | | | | |
% 74.58/10.99 | | | | | | | | REF_CLOSE: (9), (537), (1064) are inconsistent by sub-proof #8.
% 74.58/10.99 | | | | | | | |
% 74.58/10.99 | | | | | | | Case 2:
% 74.58/10.99 | | | | | | | |
% 74.58/10.99 | | | | | | | | (1065) all_44_1 = false
% 74.58/10.99 | | | | | | | |
% 74.58/10.99 | | | | | | | | REDUCE: (648), (1065) imply:
% 74.58/10.99 | | | | | | | | (1066) not1(false) = all_278_0
% 74.58/10.99 | | | | | | | |
% 74.58/10.99 | | | | | | | | REDUCE: (1060), (1065) imply:
% 74.58/10.99 | | | | | | | | (1067) f3(false, false, false) = all_354_2
% 74.58/10.99 | | | | | | | |
% 74.58/10.99 | | | | | | | | REDUCE: (974), (1065) imply:
% 74.58/10.99 | | | | | | | | (1068) f3(true, false, false) = all_308_2
% 74.58/10.99 | | | | | | | |
% 74.58/10.99 | | | | | | | | REDUCE: (882), (1065) imply:
% 74.58/10.99 | | | | | | | | (1069) f3(false, false, false) = false2
% 74.58/10.99 | | | | | | | |
% 74.58/10.99 | | | | | | | | REDUCE: (1029), (1065) imply:
% 74.58/10.99 | | | | | | | | (1070) f2(true, all_308_0, false) = all_494_2
% 74.58/10.99 | | | | | | | |
% 74.58/10.99 | | | | | | | | REDUCE: (1013), (1065) imply:
% 74.58/10.99 | | | | | | | | (1071) f2(true, all_308_2, false) = all_458_2
% 74.58/10.99 | | | | | | | |
% 74.58/10.99 | | | | | | | | REDUCE: (1021), (1065) imply:
% 74.58/10.99 | | | | | | | | (1072) f2(true, all_294_0, false) = all_478_2
% 74.58/10.99 | | | | | | | |
% 74.58/10.99 | | | | | | | | REDUCE: (1018), (1065) imply:
% 74.58/10.99 | | | | | | | | (1073) f2(true, all_294_2, false) = all_472_2
% 74.58/10.99 | | | | | | | |
% 74.58/10.99 | | | | | | | | REDUCE: (938), (1065) imply:
% 74.58/10.99 | | | | | | | | (1074) f2(true, false, false) = all_372_2
% 74.58/10.99 | | | | | | | |
% 74.58/10.99 | | | | | | | | REDUCE: (681), (1065) imply:
% 74.58/10.99 | | | | | | | | (1075) f2(true, true, false) = all_294_2
% 74.58/10.99 | | | | | | | |
% 74.58/10.99 | | | | | | | | REDUCE: (883), (1065) imply:
% 74.58/10.99 | | | | | | | | (1076) f2(true, false, false) = false2
% 74.58/10.99 | | | | | | | |
% 74.58/10.99 | | | | | | | | REDUCE: (1012), (1065) imply:
% 74.58/10.99 | | | | | | | | (1077) impl(all_372_2, false) = all_458_0
% 74.58/10.99 | | | | | | | |
% 74.58/11.00 | | | | | | | | REDUCE: (1028), (1065) imply:
% 74.58/11.00 | | | | | | | | (1078) impl(all_354_2, false) = all_494_0
% 74.58/11.00 | | | | | | | |
% 74.58/11.00 | | | | | | | | REDUCE: (708), (1065) imply:
% 74.58/11.00 | | | | | | | | (1079) impl(false, false) = all_308_0
% 74.58/11.00 | | | | | | | |
% 74.58/11.00 | | | | | | | | REDUCE: (679), (1065) imply:
% 74.58/11.00 | | | | | | | | (1080) impl(false2, false) = all_294_0
% 74.58/11.00 | | | | | | | |
% 74.58/11.00 | | | | | | | | GROUND_INST: instantiating (47) with true, all_308_0, false,
% 74.58/11.00 | | | | | | | | false, simplifying with (110), (1079) gives:
% 74.58/11.00 | | | | | | | | (1081) all_308_0 = true
% 74.58/11.00 | | | | | | | |
% 74.58/11.00 | | | | | | | | GROUND_INST: instantiating (50) with false2, all_372_2, false,
% 74.58/11.00 | | | | | | | | false, true, simplifying with (1074), (1076) gives:
% 74.58/11.00 | | | | | | | | (1082) all_372_2 = false2
% 74.58/11.00 | | | | | | | |
% 74.58/11.00 | | | | | | | | GROUND_INST: instantiating (50) with true, all_294_2, false,
% 74.58/11.00 | | | | | | | | true, true, simplifying with (529), (1075) gives:
% 74.58/11.00 | | | | | | | | (1083) all_294_2 = true
% 74.58/11.00 | | | | | | | |
% 74.58/11.00 | | | | | | | | GROUND_INST: instantiating (51) with false, all_354_2, false,
% 74.58/11.00 | | | | | | | | false, false, simplifying with (527), (1067) gives:
% 74.58/11.00 | | | | | | | | (1084) all_354_2 = false
% 74.58/11.00 | | | | | | | |
% 74.58/11.00 | | | | | | | | GROUND_INST: instantiating (51) with false2, all_354_2, false,
% 74.58/11.00 | | | | | | | | false, false, simplifying with (1067), (1069)
% 74.58/11.00 | | | | | | | | gives:
% 74.58/11.00 | | | | | | | | (1085) all_354_2 = false2
% 74.58/11.00 | | | | | | | |
% 74.58/11.00 | | | | | | | | GROUND_INST: instantiating (51) with true, all_308_2, false,
% 74.58/11.00 | | | | | | | | false, true, simplifying with (526), (1068) gives:
% 74.58/11.00 | | | | | | | | (1086) all_308_2 = true
% 74.58/11.00 | | | | | | | |
% 74.58/11.00 | | | | | | | | GROUND_INST: instantiating (45) with true, all_278_0, false,
% 74.58/11.00 | | | | | | | | simplifying with (34), (1066) gives:
% 74.58/11.00 | | | | | | | | (1087) all_278_0 = true
% 74.58/11.00 | | | | | | | |
% 74.58/11.00 | | | | | | | | COMBINE_EQS: (1084), (1085) imply:
% 74.58/11.00 | | | | | | | | (1088) false2 = false
% 74.58/11.00 | | | | | | | |
% 74.58/11.00 | | | | | | | | COMBINE_EQS: (1082), (1088) imply:
% 74.58/11.00 | | | | | | | | (1089) all_372_2 = false
% 74.58/11.00 | | | | | | | |
% 74.58/11.00 | | | | | | | | REDUCE: (631), (1088) imply:
% 74.58/11.00 | | | | | | | | (1090) not2(true) = false
% 74.58/11.00 | | | | | | | |
% 74.58/11.00 | | | | | | | | REDUCE: (999), (1081) imply:
% 74.58/11.00 | | | | | | | | (1091) not1(true) = all_390_0
% 74.58/11.00 | | | | | | | |
% 74.58/11.00 | | | | | | | | REDUCE: (567), (1088) imply:
% 74.58/11.00 | | | | | | | | (1092) not1(false) = all_57_0
% 74.58/11.00 | | | | | | | |
% 74.58/11.00 | | | | | | | | REDUCE: (1070), (1081) imply:
% 74.58/11.00 | | | | | | | | (1093) f2(true, true, false) = all_494_2
% 74.58/11.00 | | | | | | | |
% 74.58/11.00 | | | | | | | | REDUCE: (1071), (1086) imply:
% 74.58/11.00 | | | | | | | | (1094) f2(true, true, false) = all_458_2
% 74.58/11.00 | | | | | | | |
% 74.58/11.00 | | | | | | | | REDUCE: (1073), (1083) imply:
% 74.58/11.00 | | | | | | | | (1095) f2(true, true, false) = all_472_2
% 74.58/11.00 | | | | | | | |
% 74.58/11.00 | | | | | | | | REDUCE: (717), (1088) imply:
% 74.58/11.00 | | | | | | | | (1096) f2(true, true, false) = all_312_2
% 74.58/11.00 | | | | | | | |
% 74.58/11.00 | | | | | | | | REDUCE: (1077), (1089) imply:
% 74.58/11.00 | | | | | | | | (1097) impl(false, false) = all_458_0
% 74.58/11.00 | | | | | | | |
% 74.58/11.00 | | | | | | | | REDUCE: (1078), (1084) imply:
% 74.58/11.00 | | | | | | | | (1098) impl(false, false) = all_494_0
% 74.58/11.00 | | | | | | | |
% 74.58/11.00 | | | | | | | | REDUCE: (79), (1088) imply:
% 74.58/11.00 | | | | | | | | (1099) impl(all_42_2, false) = all_42_0
% 74.58/11.00 | | | | | | | |
% 74.58/11.00 | | | | | | | | REDUCE: (715), (1088) imply:
% 74.58/11.00 | | | | | | | | (1100) impl(false, false) = all_312_0
% 74.58/11.00 | | | | | | | |
% 74.58/11.00 | | | | | | | | REDUCE: (1080), (1088) imply:
% 74.58/11.00 | | | | | | | | (1101) impl(false, false) = all_294_0
% 74.58/11.00 | | | | | | | |
% 74.58/11.00 | | | | | | | | BETA: splitting (1007) gives:
% 74.58/11.00 | | | | | | | |
% 74.58/11.00 | | | | | | | | Case 1:
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | (1102) all_432_0 = 0 & all_294_0 = all_294_2
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | ALPHA: (1102) implies:
% 74.58/11.00 | | | | | | | | | (1103) all_294_0 = all_294_2
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | COMBINE_EQS: (1083), (1103) imply:
% 74.58/11.00 | | | | | | | | | (1104) all_294_0 = true
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | REDUCE: (1009), (1104) imply:
% 74.58/11.00 | | | | | | | | | (1105) not1(true) = all_438_0
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | REDUCE: (1072), (1104) imply:
% 74.58/11.00 | | | | | | | | | (1106) f2(true, true, false) = all_478_2
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | GROUND_INST: instantiating (47) with true, all_458_0, false,
% 74.58/11.00 | | | | | | | | | false, simplifying with (110), (1097) gives:
% 74.58/11.00 | | | | | | | | | (1107) all_458_0 = true
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | GROUND_INST: instantiating (47) with all_458_0, all_494_0,
% 74.58/11.00 | | | | | | | | | false, false, simplifying with (1097), (1098)
% 74.58/11.00 | | | | | | | | | gives:
% 74.58/11.00 | | | | | | | | | (1108) all_494_0 = all_458_0
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | GROUND_INST: instantiating (47) with all_312_0, all_494_0,
% 74.58/11.00 | | | | | | | | | false, false, simplifying with (1098), (1100)
% 74.58/11.00 | | | | | | | | | gives:
% 74.58/11.00 | | | | | | | | | (1109) all_494_0 = all_312_0
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | GROUND_INST: instantiating (50) with all_458_2, all_472_2,
% 74.58/11.00 | | | | | | | | | false, true, true, simplifying with (1094), (1095)
% 74.58/11.00 | | | | | | | | | gives:
% 74.58/11.00 | | | | | | | | | (1110) all_472_2 = all_458_2
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | GROUND_INST: instantiating (50) with all_312_2, all_472_2,
% 74.58/11.00 | | | | | | | | | false, true, true, simplifying with (1095), (1096)
% 74.58/11.00 | | | | | | | | | gives:
% 74.58/11.00 | | | | | | | | | (1111) all_472_2 = all_312_2
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | GROUND_INST: instantiating (50) with true, all_494_2, false,
% 74.58/11.00 | | | | | | | | | true, true, simplifying with (529), (1093) gives:
% 74.58/11.00 | | | | | | | | | (1112) all_494_2 = true
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | GROUND_INST: instantiating (50) with all_478_2, all_494_2,
% 74.58/11.00 | | | | | | | | | false, true, true, simplifying with (1093), (1106)
% 74.58/11.00 | | | | | | | | | gives:
% 74.58/11.00 | | | | | | | | | (1113) all_494_2 = all_478_2
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | GROUND_INST: instantiating (50) with all_458_2, all_494_2,
% 74.58/11.00 | | | | | | | | | false, true, true, simplifying with (1093), (1094)
% 74.58/11.00 | | | | | | | | | gives:
% 74.58/11.00 | | | | | | | | | (1114) all_494_2 = all_458_2
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | GROUND_INST: instantiating (45) with true, all_57_0, false,
% 74.58/11.00 | | | | | | | | | simplifying with (34), (1092) gives:
% 74.58/11.00 | | | | | | | | | (1115) all_57_0 = true
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | GROUND_INST: instantiating (45) with false, all_438_0, true,
% 74.58/11.00 | | | | | | | | | simplifying with (37), (1105) gives:
% 74.58/11.00 | | | | | | | | | (1116) all_438_0 = false
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | GROUND_INST: instantiating (45) with all_390_0, all_438_0,
% 74.58/11.00 | | | | | | | | | true, simplifying with (1091), (1105) gives:
% 74.58/11.00 | | | | | | | | | (1117) all_438_0 = all_390_0
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | COMBINE_EQS: (1108), (1109) imply:
% 74.58/11.00 | | | | | | | | | (1118) all_458_0 = all_312_0
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | SIMP: (1118) implies:
% 74.58/11.00 | | | | | | | | | (1119) all_458_0 = all_312_0
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | COMBINE_EQS: (1112), (1113) imply:
% 74.58/11.00 | | | | | | | | | (1120) all_478_2 = true
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | COMBINE_EQS: (1113), (1114) imply:
% 74.58/11.00 | | | | | | | | | (1121) all_478_2 = all_458_2
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | COMBINE_EQS: (1120), (1121) imply:
% 74.58/11.00 | | | | | | | | | (1122) all_458_2 = true
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | SIMP: (1122) implies:
% 74.58/11.00 | | | | | | | | | (1123) all_458_2 = true
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | COMBINE_EQS: (1110), (1111) imply:
% 74.58/11.00 | | | | | | | | | (1124) all_458_2 = all_312_2
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | SIMP: (1124) implies:
% 74.58/11.00 | | | | | | | | | (1125) all_458_2 = all_312_2
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | COMBINE_EQS: (1107), (1119) imply:
% 74.58/11.00 | | | | | | | | | (1126) all_312_0 = true
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | COMBINE_EQS: (1123), (1125) imply:
% 74.58/11.00 | | | | | | | | | (1127) all_312_2 = true
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | COMBINE_EQS: (1116), (1117) imply:
% 74.58/11.00 | | | | | | | | | (1128) all_390_0 = false
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | SIMP: (1128) implies:
% 74.58/11.00 | | | | | | | | | (1129) all_390_0 = false
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | REDUCE: (993), (1126) imply:
% 74.58/11.00 | | | | | | | | | (1130) not2(true) = all_368_0
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | REDUCE: (991), (1127) imply:
% 74.58/11.00 | | | | | | | | | (1131) not2(true) = all_358_0
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | REDUCE: (1005), (1126) imply:
% 74.58/11.00 | | | | | | | | | (1132) not1(true) = all_428_0
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | GROUND_INST: instantiating (45) with false, all_428_0, true,
% 74.58/11.00 | | | | | | | | | simplifying with (37), (1132) gives:
% 74.58/11.00 | | | | | | | | | (1133) all_428_0 = false
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | GROUND_INST: instantiating (46) with false, all_368_0, true,
% 74.58/11.00 | | | | | | | | | simplifying with (1090), (1130) gives:
% 74.58/11.00 | | | | | | | | | (1134) all_368_0 = false
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | GROUND_INST: instantiating (46) with all_358_0, all_368_0,
% 74.58/11.00 | | | | | | | | | true, simplifying with (1130), (1131) gives:
% 74.58/11.00 | | | | | | | | | (1135) all_368_0 = all_358_0
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | COMBINE_EQS: (1134), (1135) imply:
% 74.58/11.00 | | | | | | | | | (1136) all_358_0 = false
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | SIMP: (1136) implies:
% 74.58/11.00 | | | | | | | | | (1137) all_358_0 = false
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | BETA: splitting (592) gives:
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | Case 1:
% 74.58/11.00 | | | | | | | | | |
% 74.58/11.00 | | | | | | | | | | (1138) all_42_2 = true
% 74.58/11.00 | | | | | | | | | |
% 74.58/11.00 | | | | | | | | | | REDUCE: (56), (1138) imply:
% 74.58/11.00 | | | | | | | | | | (1139) not2(true) = all_42_0
% 74.58/11.00 | | | | | | | | | |
% 74.58/11.00 | | | | | | | | | | REDUCE: (55), (1138) imply:
% 74.58/11.00 | | | | | | | | | | (1140) not1(true) = all_42_1
% 74.58/11.00 | | | | | | | | | |
% 74.58/11.00 | | | | | | | | | | GROUND_INST: instantiating (45) with false, all_42_1, true,
% 74.58/11.00 | | | | | | | | | | simplifying with (37), (1140) gives:
% 74.58/11.00 | | | | | | | | | | (1141) all_42_1 = false
% 74.58/11.00 | | | | | | | | | |
% 74.58/11.00 | | | | | | | | | | GROUND_INST: instantiating (46) with false, all_42_0, true,
% 74.58/11.00 | | | | | | | | | | simplifying with (1090), (1139) gives:
% 74.58/11.00 | | | | | | | | | | (1142) all_42_0 = false
% 74.58/11.00 | | | | | | | | | |
% 74.58/11.00 | | | | | | | | | | REDUCE: (53), (1141), (1142) imply:
% 74.58/11.00 | | | | | | | | | | (1143) $false
% 74.58/11.00 | | | | | | | | | |
% 74.58/11.00 | | | | | | | | | | CLOSE: (1143) is inconsistent.
% 74.58/11.00 | | | | | | | | | |
% 74.58/11.00 | | | | | | | | | Case 2:
% 74.58/11.00 | | | | | | | | | |
% 74.58/11.00 | | | | | | | | | | (1144) all_42_2 = false
% 74.58/11.00 | | | | | | | | | |
% 74.58/11.00 | | | | | | | | | | REDUCE: (55), (1144) imply:
% 74.58/11.00 | | | | | | | | | | (1145) not1(false) = all_42_1
% 74.58/11.00 | | | | | | | | | |
% 74.58/11.00 | | | | | | | | | | REDUCE: (672), (1144) imply:
% 74.58/11.00 | | | | | | | | | | (1146) impl(false, false) = all_290_0
% 74.58/11.00 | | | | | | | | | |
% 74.58/11.00 | | | | | | | | | | REDUCE: (1099), (1144) imply:
% 74.58/11.00 | | | | | | | | | | (1147) impl(false, false) = all_42_0
% 74.58/11.00 | | | | | | | | | |
% 74.58/11.00 | | | | | | | | | | GROUND_INST: instantiating (47) with true, all_290_0, false,
% 74.58/11.00 | | | | | | | | | | false, simplifying with (110), (1146) gives:
% 74.58/11.00 | | | | | | | | | | (1148) all_290_0 = true
% 74.58/11.00 | | | | | | | | | |
% 74.58/11.00 | | | | | | | | | | GROUND_INST: instantiating (47) with all_42_0, all_290_0,
% 74.58/11.00 | | | | | | | | | | false, false, simplifying with (1146), (1147)
% 74.58/11.00 | | | | | | | | | | gives:
% 74.58/11.00 | | | | | | | | | | (1149) all_290_0 = all_42_0
% 74.58/11.00 | | | | | | | | | |
% 74.58/11.00 | | | | | | | | | | GROUND_INST: instantiating (45) with true, all_42_1, false,
% 74.58/11.00 | | | | | | | | | | simplifying with (34), (1145) gives:
% 74.58/11.00 | | | | | | | | | | (1150) all_42_1 = true
% 74.58/11.00 | | | | | | | | | |
% 74.58/11.00 | | | | | | | | | | COMBINE_EQS: (1148), (1149) imply:
% 74.58/11.00 | | | | | | | | | | (1151) all_42_0 = true
% 74.58/11.00 | | | | | | | | | |
% 74.58/11.00 | | | | | | | | | | SIMP: (1151) implies:
% 74.58/11.00 | | | | | | | | | | (1152) all_42_0 = true
% 74.58/11.00 | | | | | | | | | |
% 74.58/11.00 | | | | | | | | | | REDUCE: (53), (1150), (1152) imply:
% 74.58/11.00 | | | | | | | | | | (1153) $false
% 74.58/11.00 | | | | | | | | | |
% 74.58/11.00 | | | | | | | | | | CLOSE: (1153) is inconsistent.
% 74.58/11.00 | | | | | | | | | |
% 74.58/11.00 | | | | | | | | | End of split
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | Case 2:
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | (1154) all_294_2 = err & ~ (all_432_0 = 0)
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | ALPHA: (1154) implies:
% 74.58/11.00 | | | | | | | | | (1155) all_294_2 = err
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | COMBINE_EQS: (1083), (1155) imply:
% 74.58/11.00 | | | | | | | | | (1156) err = true
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | SIMP: (1156) implies:
% 74.58/11.00 | | | | | | | | | (1157) err = true
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | REDUCE: (5), (1157) imply:
% 74.58/11.00 | | | | | | | | | (1158) $false
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | | CLOSE: (1158) is inconsistent.
% 74.58/11.00 | | | | | | | | |
% 74.58/11.00 | | | | | | | | End of split
% 74.58/11.00 | | | | | | | |
% 74.58/11.01 | | | | | | | End of split
% 74.58/11.01 | | | | | | |
% 74.58/11.02 | | | | | | Case 2:
% 74.58/11.02 | | | | | | |
% 74.58/11.02 | | | | | | | (1159) all_59_0 = err & ~ (all_81_0 = 0)
% 74.58/11.02 | | | | | | |
% 74.58/11.02 | | | | | | | ALPHA: (1159) implies:
% 74.58/11.02 | | | | | | | (1160) all_59_0 = err
% 74.58/11.02 | | | | | | |
% 74.58/11.02 | | | | | | | REDUCE: (129), (1160) imply:
% 74.58/11.02 | | | | | | | (1161) lazy_impl(true, all_42_2) = err
% 74.58/11.02 | | | | | | |
% 74.58/11.02 | | | | | | | BETA: splitting (162) gives:
% 74.58/11.02 | | | | | | |
% 74.58/11.02 | | | | | | | Case 1:
% 74.58/11.02 | | | | | | | |
% 74.58/11.02 | | | | | | | | (1162) all_91_1 = 0
% 74.58/11.02 | | | | | | | |
% 74.58/11.02 | | | | | | | | REDUCE: (160), (1162) imply:
% 74.58/11.02 | | | | | | | | (1163) bool(err) = 0
% 74.58/11.02 | | | | | | | |
% 74.58/11.02 | | | | | | | | REF_CLOSE: (3), (4), (5), (11), (1163) are inconsistent by
% 74.58/11.02 | | | | | | | | sub-proof #7.
% 74.58/11.02 | | | | | | | |
% 74.58/11.02 | | | | | | | Case 2:
% 74.58/11.02 | | | | | | | |
% 74.58/11.02 | | | | | | | | (1164) ~ (all_91_1 = 0)
% 74.58/11.02 | | | | | | | |
% 74.58/11.02 | | | | | | | | GROUND_INST: instantiating (13) with all_44_1, false2,
% 74.58/11.02 | | | | | | | | simplifying with (58), (601) gives:
% 74.58/11.02 | | | | | | | | (1165) ? [v0: any] : (d(all_44_1) = v0 & ((v0 = 0 & all_44_1
% 74.58/11.02 | | | | | | | | = false2) | (false2 = err & ~ (v0 = 0))))
% 74.58/11.02 | | | | | | | |
% 74.58/11.02 | | | | | | | | GROUND_INST: instantiating (26) with all_44_1, false2,
% 74.58/11.02 | | | | | | | | simplifying with (58), (601) gives:
% 74.58/11.02 | | | | | | | | (1166) lazy_and1(true, all_44_1) = false2 & $i(false2)
% 74.58/11.02 | | | | | | | |
% 74.58/11.02 | | | | | | | | GROUND_INST: instantiating (29) with all_42_2, true, simplifying
% 74.58/11.02 | | | | | | | | with (54), (595) gives:
% 74.58/11.02 | | | | | | | | (1167) ? [v0: $i] : (f7(all_42_2) = v0 & lazy_impl(true,
% 74.58/11.02 | | | | | | | | all_42_2) = v0 & $i(v0))
% 74.58/11.02 | | | | | | | |
% 74.58/11.02 | | | | | | | | GROUND_INST: instantiating (25) with true, false, false2, true,
% 74.58/11.02 | | | | | | | | true, simplifying with (35), (36), (71), (113),
% 74.58/11.02 | | | | | | | | (589) gives:
% 74.58/11.02 | | | | | | | | (1168) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(true,
% 74.58/11.02 | | | | | | | | false, false2) = v0 & lazy_impl(v1, v2) = v0 &
% 74.58/11.02 | | | | | | | | impl(true, false2) = v2 & prop(false2) = v1 & $i(v2)
% 74.58/11.02 | | | | | | | | & $i(v1) & $i(v0))
% 74.58/11.02 | | | | | | | |
% 74.58/11.02 | | | | | | | | GROUND_INST: instantiating (25) with false, false, false2, true,
% 74.58/11.02 | | | | | | | | true, simplifying with (35), (71), (114), (589)
% 74.58/11.02 | | | | | | | | gives:
% 74.58/11.02 | | | | | | | | (1169) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(false,
% 74.58/11.02 | | | | | | | | false, false2) = v0 & lazy_impl(v1, v2) = v0 &
% 74.58/11.02 | | | | | | | | impl(true, false2) = v2 & prop(false2) = v1 & $i(v2)
% 74.58/11.02 | | | | | | | | & $i(v1) & $i(v0))
% 74.58/11.02 | | | | | | | |
% 74.58/11.02 | | | | | | | | GROUND_INST: instantiating (27) with true, false, false2, true,
% 74.58/11.02 | | | | | | | | true, simplifying with (35), (36), (71), (122),
% 74.58/11.02 | | | | | | | | (589) gives:
% 74.58/11.02 | | | | | | | | (1170) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true,
% 74.58/11.02 | | | | | | | | false, false2) = v0 & lazy_impl(v1, v2) = v0 &
% 74.58/11.02 | | | | | | | | impl(true, false2) = v2 & prop(false2) = v1 & $i(v2)
% 74.58/11.02 | | | | | | | | & $i(v1) & $i(v0))
% 74.58/11.02 | | | | | | | |
% 74.58/11.02 | | | | | | | | GROUND_INST: instantiating (38) with false, true, simplifying
% 74.58/11.02 | | | | | | | | with (35), (589) gives:
% 74.58/11.02 | | | | | | | | (1171) not2(false) = true & $i(true)
% 74.58/11.02 | | | | | | | |
% 74.58/11.02 | | | | | | | | GROUND_INST: instantiating (25) with true, false, all_42_2,
% 74.58/11.02 | | | | | | | | true, true, simplifying with (35), (36), (54),
% 74.58/11.02 | | | | | | | | (113), (594) gives:
% 74.58/11.02 | | | | | | | | (1172) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(true,
% 74.58/11.02 | | | | | | | | false, all_42_2) = v0 & lazy_impl(v1, v2) = v0 &
% 74.58/11.02 | | | | | | | | impl(true, all_42_2) = v2 & prop(all_42_2) = v1 &
% 74.58/11.02 | | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.58/11.02 | | | | | | | |
% 74.58/11.02 | | | | | | | | GROUND_INST: instantiating (25) with false, false, all_42_2,
% 74.58/11.02 | | | | | | | | true, true, simplifying with (35), (54), (114),
% 74.58/11.02 | | | | | | | | (594) gives:
% 74.58/11.02 | | | | | | | | (1173) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(false,
% 74.58/11.02 | | | | | | | | false, all_42_2) = v0 & lazy_impl(v1, v2) = v0 &
% 74.58/11.02 | | | | | | | | impl(true, all_42_2) = v2 & prop(all_42_2) = v1 &
% 74.58/11.02 | | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.58/11.02 | | | | | | | |
% 74.58/11.02 | | | | | | | | GROUND_INST: instantiating (27) with true, false, all_42_2,
% 74.58/11.02 | | | | | | | | true, true, simplifying with (35), (36), (54),
% 74.58/11.02 | | | | | | | | (122), (594) gives:
% 74.58/11.02 | | | | | | | | (1174) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true,
% 74.58/11.02 | | | | | | | | false, all_42_2) = v0 & lazy_impl(v1, v2) = v0 &
% 74.58/11.02 | | | | | | | | impl(true, all_42_2) = v2 & prop(all_42_2) = v1 &
% 74.58/11.02 | | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.58/11.02 | | | | | | | |
% 74.58/11.02 | | | | | | | | GROUND_INST: instantiating (25) with true, false, all_44_1,
% 74.58/11.02 | | | | | | | | true, true, simplifying with (35), (36), (58),
% 74.58/11.02 | | | | | | | | (113), (599) gives:
% 74.58/11.02 | | | | | | | | (1175) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(true,
% 74.58/11.02 | | | | | | | | false, all_44_1) = v0 & lazy_impl(v1, v2) = v0 &
% 74.58/11.02 | | | | | | | | impl(true, all_44_1) = v2 & prop(all_44_1) = v1 &
% 74.58/11.02 | | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.58/11.02 | | | | | | | |
% 74.58/11.02 | | | | | | | | GROUND_INST: instantiating (25) with false, false, all_44_1,
% 74.58/11.02 | | | | | | | | true, true, simplifying with (35), (58), (114),
% 74.58/11.02 | | | | | | | | (599) gives:
% 74.58/11.02 | | | | | | | | (1176) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(false,
% 74.58/11.02 | | | | | | | | false, all_44_1) = v0 & lazy_impl(v1, v2) = v0 &
% 74.58/11.02 | | | | | | | | impl(true, all_44_1) = v2 & prop(all_44_1) = v1 &
% 74.58/11.02 | | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.58/11.02 | | | | | | | |
% 74.58/11.03 | | | | | | | | GROUND_INST: instantiating (27) with true, false, all_44_1,
% 74.58/11.03 | | | | | | | | true, true, simplifying with (35), (36), (58),
% 74.58/11.03 | | | | | | | | (122), (599) gives:
% 74.58/11.03 | | | | | | | | (1177) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true,
% 74.58/11.03 | | | | | | | | false, all_44_1) = v0 & lazy_impl(v1, v2) = v0 &
% 74.58/11.03 | | | | | | | | impl(true, all_44_1) = v2 & prop(all_44_1) = v1 &
% 74.58/11.03 | | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.58/11.03 | | | | | | | |
% 74.58/11.03 | | | | | | | | GROUND_INST: instantiating (25) with all_42_2, true, false2,
% 74.58/11.03 | | | | | | | | false2, all_42_0, simplifying with (36), (54),
% 74.58/11.03 | | | | | | | | (71), (79), (588) gives:
% 74.58/11.03 | | | | | | | | (1178) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 74.58/11.03 | | | | | | | | (f1(all_42_2, true, false2) = v0 & lazy_impl(v1, v2) =
% 74.58/11.03 | | | | | | | | v0 & impl(all_42_0, false2) = v2 & prop(false2) = v1
% 74.58/11.03 | | | | | | | | & $i(v2) & $i(v1) & $i(v0))
% 74.58/11.03 | | | | | | | |
% 74.58/11.03 | | | | | | | | GROUND_INST: instantiating (25) with true, true, false2, false2,
% 74.58/11.03 | | | | | | | | false2, simplifying with (36), (71), (588) gives:
% 74.58/11.03 | | | | | | | | (1179) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(true,
% 74.58/11.03 | | | | | | | | true, false2) = v0 & lazy_impl(v1, v2) = v0 &
% 74.58/11.03 | | | | | | | | impl(false2, false2) = v2 & prop(false2) = v1 &
% 74.58/11.03 | | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.58/11.03 | | | | | | | |
% 74.58/11.03 | | | | | | | | GROUND_INST: instantiating (25) with false, true, false2,
% 74.58/11.03 | | | | | | | | false2, true, simplifying with (35), (36), (71),
% 74.58/11.03 | | | | | | | | (588), (589) gives:
% 74.58/11.03 | | | | | | | | (1180) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(false,
% 74.58/11.03 | | | | | | | | true, false2) = v0 & lazy_impl(v1, v2) = v0 &
% 74.58/11.03 | | | | | | | | impl(true, false2) = v2 & prop(false2) = v1 & $i(v2)
% 74.58/11.03 | | | | | | | | & $i(v1) & $i(v0))
% 74.58/11.03 | | | | | | | |
% 74.58/11.03 | | | | | | | | GROUND_INST: instantiating (27) with true, true, false2, false2,
% 74.58/11.03 | | | | | | | | false2, simplifying with (36), (71), (578), (588)
% 74.58/11.03 | | | | | | | | gives:
% 74.58/11.03 | | | | | | | | (1181) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true,
% 74.58/11.03 | | | | | | | | true, false2) = v0 & lazy_impl(v1, v2) = v0 &
% 74.58/11.03 | | | | | | | | impl(false2, false2) = v2 & prop(false2) = v1 &
% 74.58/11.03 | | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.58/11.03 | | | | | | | |
% 74.58/11.03 | | | | | | | | GROUND_INST: instantiating (28) with false, false, all_42_2,
% 74.58/11.03 | | | | | | | | true, true, all_42_2, all_42_2, simplifying with
% 74.58/11.03 | | | | | | | | (35), (54), (593), (594) gives:
% 74.58/11.03 | | | | | | | | (1182) ? [v0: $i] : ? [v1: $i] : (f3(false, false,
% 74.58/11.03 | | | | | | | | all_42_2) = v0 & lazy_impl(v1, all_42_2) = v0 &
% 74.58/11.03 | | | | | | | | prop(all_42_2) = v1 & $i(v1) & $i(v0))
% 74.58/11.03 | | | | | | | |
% 74.58/11.03 | | | | | | | | GROUND_INST: instantiating (25) with true, true, all_42_2,
% 74.58/11.03 | | | | | | | | all_42_2, all_42_2, simplifying with (36), (54),
% 74.58/11.03 | | | | | | | | (593) gives:
% 74.58/11.03 | | | | | | | | (1183) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(true,
% 74.58/11.03 | | | | | | | | true, all_42_2) = v0 & lazy_impl(v1, v2) = v0 &
% 74.58/11.03 | | | | | | | | impl(all_42_2, all_42_2) = v2 & prop(all_42_2) = v1
% 74.58/11.03 | | | | | | | | & $i(v2) & $i(v1) & $i(v0))
% 74.58/11.03 | | | | | | | |
% 74.58/11.03 | | | | | | | | GROUND_INST: instantiating (25) with false, true, all_42_2,
% 74.58/11.03 | | | | | | | | all_42_2, true, simplifying with (35), (36), (54),
% 74.58/11.03 | | | | | | | | (593), (594) gives:
% 74.58/11.03 | | | | | | | | (1184) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(false,
% 74.58/11.03 | | | | | | | | true, all_42_2) = v0 & lazy_impl(v1, v2) = v0 &
% 74.58/11.03 | | | | | | | | impl(true, all_42_2) = v2 & prop(all_42_2) = v1 &
% 74.58/11.03 | | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.58/11.03 | | | | | | | |
% 74.58/11.03 | | | | | | | | GROUND_INST: instantiating (28) with false, false, all_44_1,
% 74.58/11.03 | | | | | | | | true, true, all_44_1, all_44_1, simplifying with
% 74.58/11.03 | | | | | | | | (35), (58), (598), (599) gives:
% 74.58/11.03 | | | | | | | | (1185) ? [v0: $i] : ? [v1: $i] : (f3(false, false,
% 74.58/11.03 | | | | | | | | all_44_1) = v0 & lazy_impl(v1, all_44_1) = v0 &
% 74.58/11.03 | | | | | | | | prop(all_44_1) = v1 & $i(v1) & $i(v0))
% 74.58/11.03 | | | | | | | |
% 74.58/11.03 | | | | | | | | GROUND_INST: instantiating (25) with true, true, all_44_1,
% 74.58/11.03 | | | | | | | | all_44_1, all_44_1, simplifying with (36), (58),
% 74.58/11.03 | | | | | | | | (598) gives:
% 74.58/11.03 | | | | | | | | (1186) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(true,
% 74.58/11.03 | | | | | | | | true, all_44_1) = v0 & lazy_impl(v1, v2) = v0 &
% 74.58/11.03 | | | | | | | | impl(all_44_1, all_44_1) = v2 & prop(all_44_1) = v1
% 74.58/11.03 | | | | | | | | & $i(v2) & $i(v1) & $i(v0))
% 74.58/11.03 | | | | | | | |
% 74.58/11.03 | | | | | | | | GROUND_INST: instantiating (25) with false, true, all_44_1,
% 74.58/11.03 | | | | | | | | all_44_1, true, simplifying with (35), (36), (58),
% 74.58/11.03 | | | | | | | | (598), (599) gives:
% 74.58/11.03 | | | | | | | | (1187) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(false,
% 74.58/11.03 | | | | | | | | true, all_44_1) = v0 & lazy_impl(v1, v2) = v0 &
% 74.58/11.03 | | | | | | | | impl(true, all_44_1) = v2 & prop(all_44_1) = v1 &
% 74.58/11.03 | | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.58/11.03 | | | | | | | |
% 74.58/11.03 | | | | | | | | GROUND_INST: instantiating (27) with true, true, all_44_1,
% 74.58/11.03 | | | | | | | | all_44_1, false2, simplifying with (36), (58),
% 74.58/11.03 | | | | | | | | (583), (598) gives:
% 74.58/11.03 | | | | | | | | (1188) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true,
% 74.58/11.03 | | | | | | | | true, all_44_1) = v0 & lazy_impl(v1, v2) = v0 &
% 74.58/11.03 | | | | | | | | impl(false2, all_44_1) = v2 & prop(all_44_1) = v1 &
% 74.58/11.03 | | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.58/11.03 | | | | | | | |
% 74.58/11.03 | | | | | | | | GROUND_INST: instantiating (27) with true, true, all_42_2,
% 74.58/11.03 | | | | | | | | all_42_2, err, simplifying with (36), (54), (593),
% 74.58/11.03 | | | | | | | | (1161) gives:
% 74.58/11.03 | | | | | | | | (1189) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true,
% 74.58/11.03 | | | | | | | | true, all_42_2) = v0 & lazy_impl(v1, v2) = v0 &
% 74.58/11.03 | | | | | | | | impl(err, all_42_2) = v2 & prop(all_42_2) = v1 &
% 74.58/11.03 | | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.58/11.03 | | | | | | | |
% 74.58/11.03 | | | | | | | | DELTA: instantiating (1167) with fresh symbol all_268_0 gives:
% 74.58/11.03 | | | | | | | | (1190) f7(all_42_2) = all_268_0 & lazy_impl(true, all_42_2) =
% 74.58/11.03 | | | | | | | | all_268_0 & $i(all_268_0)
% 74.58/11.03 | | | | | | | |
% 74.58/11.03 | | | | | | | | ALPHA: (1190) implies:
% 74.58/11.03 | | | | | | | | (1191) lazy_impl(true, all_42_2) = all_268_0
% 74.58/11.03 | | | | | | | | (1192) f7(all_42_2) = all_268_0
% 74.58/11.03 | | | | | | | |
% 74.58/11.03 | | | | | | | | DELTA: instantiating (1182) with fresh symbols all_274_0,
% 74.58/11.03 | | | | | | | | all_274_1 gives:
% 74.58/11.03 | | | | | | | | (1193) f3(false, false, all_42_2) = all_274_1 &
% 74.58/11.03 | | | | | | | | lazy_impl(all_274_0, all_42_2) = all_274_1 &
% 74.58/11.03 | | | | | | | | prop(all_42_2) = all_274_0 & $i(all_274_0) &
% 74.58/11.03 | | | | | | | | $i(all_274_1)
% 74.58/11.03 | | | | | | | |
% 74.58/11.03 | | | | | | | | ALPHA: (1193) implies:
% 74.58/11.03 | | | | | | | | (1194) $i(all_274_1)
% 74.58/11.03 | | | | | | | | (1195) $i(all_274_0)
% 74.58/11.03 | | | | | | | | (1196) prop(all_42_2) = all_274_0
% 74.58/11.03 | | | | | | | | (1197) lazy_impl(all_274_0, all_42_2) = all_274_1
% 74.58/11.03 | | | | | | | |
% 74.58/11.03 | | | | | | | | DELTA: instantiating (1165) with fresh symbol all_276_0 gives:
% 74.58/11.03 | | | | | | | | (1198) d(all_44_1) = all_276_0 & ((all_276_0 = 0 & all_44_1 =
% 74.58/11.03 | | | | | | | | false2) | (false2 = err & ~ (all_276_0 = 0)))
% 74.58/11.03 | | | | | | | |
% 74.58/11.03 | | | | | | | | ALPHA: (1198) implies:
% 74.58/11.03 | | | | | | | | (1199) d(all_44_1) = all_276_0
% 74.58/11.03 | | | | | | | |
% 74.58/11.03 | | | | | | | | DELTA: instantiating (1185) with fresh symbols all_280_0,
% 74.58/11.03 | | | | | | | | all_280_1 gives:
% 74.58/11.03 | | | | | | | | (1200) f3(false, false, all_44_1) = all_280_1 &
% 74.58/11.03 | | | | | | | | lazy_impl(all_280_0, all_44_1) = all_280_1 &
% 74.58/11.03 | | | | | | | | prop(all_44_1) = all_280_0 & $i(all_280_0) &
% 74.58/11.03 | | | | | | | | $i(all_280_1)
% 74.58/11.03 | | | | | | | |
% 74.58/11.03 | | | | | | | | ALPHA: (1200) implies:
% 74.58/11.03 | | | | | | | | (1201) $i(all_280_1)
% 74.78/11.03 | | | | | | | | (1202) prop(all_44_1) = all_280_0
% 74.78/11.03 | | | | | | | | (1203) lazy_impl(all_280_0, all_44_1) = all_280_1
% 74.78/11.03 | | | | | | | |
% 74.78/11.03 | | | | | | | | DELTA: instantiating (1178) with fresh symbols all_284_0,
% 74.78/11.03 | | | | | | | | all_284_1, all_284_2 gives:
% 74.78/11.03 | | | | | | | | (1204) f1(all_42_2, true, false2) = all_284_2 &
% 74.78/11.03 | | | | | | | | lazy_impl(all_284_1, all_284_0) = all_284_2 &
% 74.78/11.03 | | | | | | | | impl(all_42_0, false2) = all_284_0 & prop(false2) =
% 74.78/11.03 | | | | | | | | all_284_1 & $i(all_284_0) & $i(all_284_1) &
% 74.78/11.03 | | | | | | | | $i(all_284_2)
% 74.78/11.03 | | | | | | | |
% 74.78/11.03 | | | | | | | | ALPHA: (1204) implies:
% 74.78/11.03 | | | | | | | | (1205) prop(false2) = all_284_1
% 74.78/11.03 | | | | | | | | (1206) impl(all_42_0, false2) = all_284_0
% 74.78/11.03 | | | | | | | | (1207) lazy_impl(all_284_1, all_284_0) = all_284_2
% 74.78/11.03 | | | | | | | |
% 74.78/11.03 | | | | | | | | DELTA: instantiating (1177) with fresh symbols all_286_0,
% 74.78/11.03 | | | | | | | | all_286_1, all_286_2 gives:
% 74.78/11.03 | | | | | | | | (1208) f2(true, false, all_44_1) = all_286_2 &
% 74.78/11.03 | | | | | | | | lazy_impl(all_286_1, all_286_0) = all_286_2 &
% 74.78/11.03 | | | | | | | | impl(true, all_44_1) = all_286_0 & prop(all_44_1) =
% 74.78/11.03 | | | | | | | | all_286_1 & $i(all_286_0) & $i(all_286_1) &
% 74.78/11.03 | | | | | | | | $i(all_286_2)
% 74.78/11.03 | | | | | | | |
% 74.78/11.03 | | | | | | | | ALPHA: (1208) implies:
% 74.78/11.03 | | | | | | | | (1209) $i(all_286_0)
% 74.78/11.03 | | | | | | | | (1210) prop(all_44_1) = all_286_1
% 74.78/11.03 | | | | | | | | (1211) impl(true, all_44_1) = all_286_0
% 74.78/11.03 | | | | | | | | (1212) lazy_impl(all_286_1, all_286_0) = all_286_2
% 74.78/11.03 | | | | | | | |
% 74.78/11.03 | | | | | | | | DELTA: instantiating (1175) with fresh symbols all_288_0,
% 74.78/11.03 | | | | | | | | all_288_1, all_288_2 gives:
% 74.78/11.03 | | | | | | | | (1213) f1(true, false, all_44_1) = all_288_2 &
% 74.78/11.03 | | | | | | | | lazy_impl(all_288_1, all_288_0) = all_288_2 &
% 74.78/11.03 | | | | | | | | impl(true, all_44_1) = all_288_0 & prop(all_44_1) =
% 74.78/11.03 | | | | | | | | all_288_1 & $i(all_288_0) & $i(all_288_1) &
% 74.78/11.03 | | | | | | | | $i(all_288_2)
% 74.78/11.03 | | | | | | | |
% 74.78/11.03 | | | | | | | | ALPHA: (1213) implies:
% 74.78/11.03 | | | | | | | | (1214) prop(all_44_1) = all_288_1
% 74.78/11.03 | | | | | | | | (1215) impl(true, all_44_1) = all_288_0
% 74.78/11.03 | | | | | | | | (1216) lazy_impl(all_288_1, all_288_0) = all_288_2
% 74.78/11.03 | | | | | | | |
% 74.78/11.03 | | | | | | | | DELTA: instantiating (1189) with fresh symbols all_290_0,
% 74.78/11.03 | | | | | | | | all_290_1, all_290_2 gives:
% 74.78/11.03 | | | | | | | | (1217) f2(true, true, all_42_2) = all_290_2 &
% 74.78/11.03 | | | | | | | | lazy_impl(all_290_1, all_290_0) = all_290_2 &
% 74.78/11.03 | | | | | | | | impl(err, all_42_2) = all_290_0 & prop(all_42_2) =
% 74.78/11.03 | | | | | | | | all_290_1 & $i(all_290_0) & $i(all_290_1) &
% 74.78/11.03 | | | | | | | | $i(all_290_2)
% 74.78/11.03 | | | | | | | |
% 74.78/11.03 | | | | | | | | ALPHA: (1217) implies:
% 74.78/11.03 | | | | | | | | (1218) prop(all_42_2) = all_290_1
% 74.78/11.03 | | | | | | | | (1219) impl(err, all_42_2) = all_290_0
% 74.78/11.03 | | | | | | | | (1220) lazy_impl(all_290_1, all_290_0) = all_290_2
% 74.78/11.03 | | | | | | | |
% 74.78/11.03 | | | | | | | | DELTA: instantiating (1183) with fresh symbols all_292_0,
% 74.78/11.03 | | | | | | | | all_292_1, all_292_2 gives:
% 74.78/11.03 | | | | | | | | (1221) f1(true, true, all_42_2) = all_292_2 &
% 74.78/11.03 | | | | | | | | lazy_impl(all_292_1, all_292_0) = all_292_2 &
% 74.78/11.03 | | | | | | | | impl(all_42_2, all_42_2) = all_292_0 & prop(all_42_2)
% 74.78/11.03 | | | | | | | | = all_292_1 & $i(all_292_0) & $i(all_292_1) &
% 74.78/11.03 | | | | | | | | $i(all_292_2)
% 74.78/11.03 | | | | | | | |
% 74.78/11.03 | | | | | | | | ALPHA: (1221) implies:
% 74.78/11.03 | | | | | | | | (1222) prop(all_42_2) = all_292_1
% 74.78/11.03 | | | | | | | | (1223) impl(all_42_2, all_42_2) = all_292_0
% 74.78/11.03 | | | | | | | | (1224) lazy_impl(all_292_1, all_292_0) = all_292_2
% 74.78/11.03 | | | | | | | |
% 74.78/11.03 | | | | | | | | DELTA: instantiating (1188) with fresh symbols all_294_0,
% 74.78/11.03 | | | | | | | | all_294_1, all_294_2 gives:
% 74.78/11.03 | | | | | | | | (1225) f2(true, true, all_44_1) = all_294_2 &
% 74.78/11.03 | | | | | | | | lazy_impl(all_294_1, all_294_0) = all_294_2 &
% 74.78/11.03 | | | | | | | | impl(false2, all_44_1) = all_294_0 & prop(all_44_1) =
% 74.78/11.03 | | | | | | | | all_294_1 & $i(all_294_0) & $i(all_294_1) &
% 74.78/11.03 | | | | | | | | $i(all_294_2)
% 74.78/11.03 | | | | | | | |
% 74.78/11.03 | | | | | | | | ALPHA: (1225) implies:
% 74.78/11.03 | | | | | | | | (1226) prop(all_44_1) = all_294_1
% 74.78/11.03 | | | | | | | |
% 74.78/11.03 | | | | | | | | DELTA: instantiating (1174) with fresh symbols all_296_0,
% 74.78/11.03 | | | | | | | | all_296_1, all_296_2 gives:
% 74.78/11.03 | | | | | | | | (1227) f2(true, false, all_42_2) = all_296_2 &
% 74.78/11.03 | | | | | | | | lazy_impl(all_296_1, all_296_0) = all_296_2 &
% 74.78/11.03 | | | | | | | | impl(true, all_42_2) = all_296_0 & prop(all_42_2) =
% 74.78/11.03 | | | | | | | | all_296_1 & $i(all_296_0) & $i(all_296_1) &
% 74.78/11.03 | | | | | | | | $i(all_296_2)
% 74.78/11.03 | | | | | | | |
% 74.78/11.03 | | | | | | | | ALPHA: (1227) implies:
% 74.78/11.03 | | | | | | | | (1228) $i(all_296_0)
% 74.78/11.03 | | | | | | | | (1229) prop(all_42_2) = all_296_1
% 74.78/11.03 | | | | | | | | (1230) impl(true, all_42_2) = all_296_0
% 74.78/11.03 | | | | | | | | (1231) lazy_impl(all_296_1, all_296_0) = all_296_2
% 74.78/11.03 | | | | | | | |
% 74.78/11.03 | | | | | | | | DELTA: instantiating (1173) with fresh symbols all_298_0,
% 74.78/11.03 | | | | | | | | all_298_1, all_298_2 gives:
% 74.78/11.03 | | | | | | | | (1232) f1(false, false, all_42_2) = all_298_2 &
% 74.78/11.03 | | | | | | | | lazy_impl(all_298_1, all_298_0) = all_298_2 &
% 74.78/11.03 | | | | | | | | impl(true, all_42_2) = all_298_0 & prop(all_42_2) =
% 74.78/11.03 | | | | | | | | all_298_1 & $i(all_298_0) & $i(all_298_1) &
% 74.78/11.03 | | | | | | | | $i(all_298_2)
% 74.78/11.03 | | | | | | | |
% 74.78/11.03 | | | | | | | | ALPHA: (1232) implies:
% 74.78/11.03 | | | | | | | | (1233) prop(all_42_2) = all_298_1
% 74.78/11.03 | | | | | | | | (1234) impl(true, all_42_2) = all_298_0
% 74.78/11.03 | | | | | | | | (1235) lazy_impl(all_298_1, all_298_0) = all_298_2
% 74.78/11.03 | | | | | | | |
% 74.78/11.03 | | | | | | | | DELTA: instantiating (1176) with fresh symbols all_300_0,
% 74.78/11.03 | | | | | | | | all_300_1, all_300_2 gives:
% 74.78/11.03 | | | | | | | | (1236) f1(false, false, all_44_1) = all_300_2 &
% 74.78/11.03 | | | | | | | | lazy_impl(all_300_1, all_300_0) = all_300_2 &
% 74.78/11.03 | | | | | | | | impl(true, all_44_1) = all_300_0 & prop(all_44_1) =
% 74.78/11.03 | | | | | | | | all_300_1 & $i(all_300_0) & $i(all_300_1) &
% 74.78/11.03 | | | | | | | | $i(all_300_2)
% 74.78/11.03 | | | | | | | |
% 74.78/11.03 | | | | | | | | ALPHA: (1236) implies:
% 74.78/11.03 | | | | | | | | (1237) prop(all_44_1) = all_300_1
% 74.78/11.03 | | | | | | | | (1238) impl(true, all_44_1) = all_300_0
% 74.78/11.03 | | | | | | | | (1239) lazy_impl(all_300_1, all_300_0) = all_300_2
% 74.78/11.03 | | | | | | | |
% 74.78/11.03 | | | | | | | | DELTA: instantiating (1184) with fresh symbols all_302_0,
% 74.78/11.03 | | | | | | | | all_302_1, all_302_2 gives:
% 74.78/11.03 | | | | | | | | (1240) f1(false, true, all_42_2) = all_302_2 &
% 74.78/11.03 | | | | | | | | lazy_impl(all_302_1, all_302_0) = all_302_2 &
% 74.78/11.03 | | | | | | | | impl(true, all_42_2) = all_302_0 & prop(all_42_2) =
% 74.78/11.03 | | | | | | | | all_302_1 & $i(all_302_0) & $i(all_302_1) &
% 74.78/11.03 | | | | | | | | $i(all_302_2)
% 74.78/11.03 | | | | | | | |
% 74.78/11.03 | | | | | | | | ALPHA: (1240) implies:
% 74.78/11.03 | | | | | | | | (1241) prop(all_42_2) = all_302_1
% 74.78/11.03 | | | | | | | | (1242) impl(true, all_42_2) = all_302_0
% 74.78/11.03 | | | | | | | | (1243) lazy_impl(all_302_1, all_302_0) = all_302_2
% 74.78/11.03 | | | | | | | |
% 74.78/11.03 | | | | | | | | DELTA: instantiating (1187) with fresh symbols all_304_0,
% 74.78/11.03 | | | | | | | | all_304_1, all_304_2 gives:
% 74.78/11.03 | | | | | | | | (1244) f1(false, true, all_44_1) = all_304_2 &
% 74.78/11.03 | | | | | | | | lazy_impl(all_304_1, all_304_0) = all_304_2 &
% 74.78/11.03 | | | | | | | | impl(true, all_44_1) = all_304_0 & prop(all_44_1) =
% 74.78/11.03 | | | | | | | | all_304_1 & $i(all_304_0) & $i(all_304_1) &
% 74.78/11.03 | | | | | | | | $i(all_304_2)
% 74.78/11.03 | | | | | | | |
% 74.78/11.03 | | | | | | | | ALPHA: (1244) implies:
% 74.78/11.03 | | | | | | | | (1245) prop(all_44_1) = all_304_1
% 74.78/11.03 | | | | | | | | (1246) impl(true, all_44_1) = all_304_0
% 74.78/11.03 | | | | | | | | (1247) lazy_impl(all_304_1, all_304_0) = all_304_2
% 74.78/11.03 | | | | | | | |
% 74.78/11.03 | | | | | | | | DELTA: instantiating (1169) with fresh symbols all_306_0,
% 74.78/11.03 | | | | | | | | all_306_1, all_306_2 gives:
% 74.78/11.03 | | | | | | | | (1248) f1(false, false, false2) = all_306_2 &
% 74.78/11.03 | | | | | | | | lazy_impl(all_306_1, all_306_0) = all_306_2 &
% 74.78/11.03 | | | | | | | | impl(true, false2) = all_306_0 & prop(false2) =
% 74.78/11.03 | | | | | | | | all_306_1 & $i(all_306_0) & $i(all_306_1) &
% 74.78/11.03 | | | | | | | | $i(all_306_2)
% 74.78/11.03 | | | | | | | |
% 74.78/11.03 | | | | | | | | ALPHA: (1248) implies:
% 74.78/11.03 | | | | | | | | (1249) prop(false2) = all_306_1
% 74.78/11.03 | | | | | | | | (1250) impl(true, false2) = all_306_0
% 74.78/11.03 | | | | | | | |
% 74.78/11.03 | | | | | | | | DELTA: instantiating (1186) with fresh symbols all_308_0,
% 74.78/11.03 | | | | | | | | all_308_1, all_308_2 gives:
% 74.78/11.03 | | | | | | | | (1251) f1(true, true, all_44_1) = all_308_2 &
% 74.78/11.03 | | | | | | | | lazy_impl(all_308_1, all_308_0) = all_308_2 &
% 74.78/11.03 | | | | | | | | impl(all_44_1, all_44_1) = all_308_0 & prop(all_44_1)
% 74.78/11.03 | | | | | | | | = all_308_1 & $i(all_308_0) & $i(all_308_1) &
% 74.78/11.03 | | | | | | | | $i(all_308_2)
% 74.78/11.03 | | | | | | | |
% 74.78/11.03 | | | | | | | | ALPHA: (1251) implies:
% 74.78/11.03 | | | | | | | | (1252) prop(all_44_1) = all_308_1
% 74.78/11.03 | | | | | | | |
% 74.78/11.03 | | | | | | | | DELTA: instantiating (1168) with fresh symbols all_310_0,
% 74.78/11.03 | | | | | | | | all_310_1, all_310_2 gives:
% 74.78/11.03 | | | | | | | | (1253) f1(true, false, false2) = all_310_2 &
% 74.78/11.03 | | | | | | | | lazy_impl(all_310_1, all_310_0) = all_310_2 &
% 74.78/11.03 | | | | | | | | impl(true, false2) = all_310_0 & prop(false2) =
% 74.78/11.03 | | | | | | | | all_310_1 & $i(all_310_0) & $i(all_310_1) &
% 74.78/11.03 | | | | | | | | $i(all_310_2)
% 74.78/11.03 | | | | | | | |
% 74.78/11.03 | | | | | | | | ALPHA: (1253) implies:
% 74.78/11.03 | | | | | | | | (1254) impl(true, false2) = all_310_0
% 74.78/11.03 | | | | | | | |
% 74.78/11.03 | | | | | | | | DELTA: instantiating (1181) with fresh symbols all_312_0,
% 74.78/11.03 | | | | | | | | all_312_1, all_312_2 gives:
% 74.78/11.04 | | | | | | | | (1255) f2(true, true, false2) = all_312_2 &
% 74.78/11.04 | | | | | | | | lazy_impl(all_312_1, all_312_0) = all_312_2 &
% 74.78/11.04 | | | | | | | | impl(false2, false2) = all_312_0 & prop(false2) =
% 74.78/11.04 | | | | | | | | all_312_1 & $i(all_312_0) & $i(all_312_1) &
% 74.78/11.04 | | | | | | | | $i(all_312_2)
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | ALPHA: (1255) implies:
% 74.78/11.04 | | | | | | | | (1256) prop(false2) = all_312_1
% 74.78/11.04 | | | | | | | | (1257) impl(false2, false2) = all_312_0
% 74.78/11.04 | | | | | | | | (1258) lazy_impl(all_312_1, all_312_0) = all_312_2
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | DELTA: instantiating (1180) with fresh symbols all_314_0,
% 74.78/11.04 | | | | | | | | all_314_1, all_314_2 gives:
% 74.78/11.04 | | | | | | | | (1259) f1(false, true, false2) = all_314_2 &
% 74.78/11.04 | | | | | | | | lazy_impl(all_314_1, all_314_0) = all_314_2 &
% 74.78/11.04 | | | | | | | | impl(true, false2) = all_314_0 & prop(false2) =
% 74.78/11.04 | | | | | | | | all_314_1 & $i(all_314_0) & $i(all_314_1) &
% 74.78/11.04 | | | | | | | | $i(all_314_2)
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | ALPHA: (1259) implies:
% 74.78/11.04 | | | | | | | | (1260) prop(false2) = all_314_1
% 74.78/11.04 | | | | | | | | (1261) impl(true, false2) = all_314_0
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | DELTA: instantiating (1179) with fresh symbols all_316_0,
% 74.78/11.04 | | | | | | | | all_316_1, all_316_2 gives:
% 74.78/11.04 | | | | | | | | (1262) f1(true, true, false2) = all_316_2 &
% 74.78/11.04 | | | | | | | | lazy_impl(all_316_1, all_316_0) = all_316_2 &
% 74.78/11.04 | | | | | | | | impl(false2, false2) = all_316_0 & prop(false2) =
% 74.78/11.04 | | | | | | | | all_316_1 & $i(all_316_0) & $i(all_316_1) &
% 74.78/11.04 | | | | | | | | $i(all_316_2)
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | ALPHA: (1262) implies:
% 74.78/11.04 | | | | | | | | (1263) prop(false2) = all_316_1
% 74.78/11.04 | | | | | | | | (1264) impl(false2, false2) = all_316_0
% 74.78/11.04 | | | | | | | | (1265) lazy_impl(all_316_1, all_316_0) = all_316_2
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | DELTA: instantiating (1170) with fresh symbols all_318_0,
% 74.78/11.04 | | | | | | | | all_318_1, all_318_2 gives:
% 74.78/11.04 | | | | | | | | (1266) f2(true, false, false2) = all_318_2 &
% 74.78/11.04 | | | | | | | | lazy_impl(all_318_1, all_318_0) = all_318_2 &
% 74.78/11.04 | | | | | | | | impl(true, false2) = all_318_0 & prop(false2) =
% 74.78/11.04 | | | | | | | | all_318_1 & $i(all_318_0) & $i(all_318_1) &
% 74.78/11.04 | | | | | | | | $i(all_318_2)
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | ALPHA: (1266) implies:
% 74.78/11.04 | | | | | | | | (1267) prop(false2) = all_318_1
% 74.78/11.04 | | | | | | | | (1268) impl(true, false2) = all_318_0
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | DELTA: instantiating (1172) with fresh symbols all_320_0,
% 74.78/11.04 | | | | | | | | all_320_1, all_320_2 gives:
% 74.78/11.04 | | | | | | | | (1269) f1(true, false, all_42_2) = all_320_2 &
% 74.78/11.04 | | | | | | | | lazy_impl(all_320_1, all_320_0) = all_320_2 &
% 74.78/11.04 | | | | | | | | impl(true, all_42_2) = all_320_0 & prop(all_42_2) =
% 74.78/11.04 | | | | | | | | all_320_1 & $i(all_320_0) & $i(all_320_1) &
% 74.78/11.04 | | | | | | | | $i(all_320_2)
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | ALPHA: (1269) implies:
% 74.78/11.04 | | | | | | | | (1270) prop(all_42_2) = all_320_1
% 74.78/11.04 | | | | | | | | (1271) impl(true, all_42_2) = all_320_0
% 74.78/11.04 | | | | | | | | (1272) lazy_impl(all_320_1, all_320_0) = all_320_2
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (43) with true, all_314_1, false2,
% 74.78/11.04 | | | | | | | | simplifying with (590), (1260) gives:
% 74.78/11.04 | | | | | | | | (1273) all_314_1 = true
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (43) with all_312_1, all_314_1,
% 74.78/11.04 | | | | | | | | false2, simplifying with (1256), (1260) gives:
% 74.78/11.04 | | | | | | | | (1274) all_314_1 = all_312_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (43) with all_306_1, all_314_1,
% 74.78/11.04 | | | | | | | | false2, simplifying with (1249), (1260) gives:
% 74.78/11.04 | | | | | | | | (1275) all_314_1 = all_306_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (43) with all_312_1, all_316_1,
% 74.78/11.04 | | | | | | | | false2, simplifying with (1256), (1263) gives:
% 74.78/11.04 | | | | | | | | (1276) all_316_1 = all_312_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (43) with all_316_1, all_318_1,
% 74.78/11.04 | | | | | | | | false2, simplifying with (1263), (1267) gives:
% 74.78/11.04 | | | | | | | | (1277) all_318_1 = all_316_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (43) with all_284_1, all_318_1,
% 74.78/11.04 | | | | | | | | false2, simplifying with (1205), (1267) gives:
% 74.78/11.04 | | | | | | | | (1278) all_318_1 = all_284_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (43) with true, all_292_1, all_42_2,
% 74.78/11.04 | | | | | | | | simplifying with (595), (1222) gives:
% 74.78/11.04 | | | | | | | | (1279) all_292_1 = true
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (43) with all_292_1, all_296_1,
% 74.78/11.04 | | | | | | | | all_42_2, simplifying with (1222), (1229) gives:
% 74.78/11.04 | | | | | | | | (1280) all_296_1 = all_292_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (43) with all_292_1, all_298_1,
% 74.78/11.04 | | | | | | | | all_42_2, simplifying with (1222), (1233) gives:
% 74.78/11.04 | | | | | | | | (1281) all_298_1 = all_292_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (43) with all_274_0, all_298_1,
% 74.78/11.04 | | | | | | | | all_42_2, simplifying with (1196), (1233) gives:
% 74.78/11.04 | | | | | | | | (1282) all_298_1 = all_274_0
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (43) with all_296_1, all_302_1,
% 74.78/11.04 | | | | | | | | all_42_2, simplifying with (1229), (1241) gives:
% 74.78/11.04 | | | | | | | | (1283) all_302_1 = all_296_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (43) with all_302_1, all_320_1,
% 74.78/11.04 | | | | | | | | all_42_2, simplifying with (1241), (1270) gives:
% 74.78/11.04 | | | | | | | | (1284) all_320_1 = all_302_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (43) with all_290_1, all_320_1,
% 74.78/11.04 | | | | | | | | all_42_2, simplifying with (1218), (1270) gives:
% 74.78/11.04 | | | | | | | | (1285) all_320_1 = all_290_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (43) with true, all_300_1, all_44_1,
% 74.78/11.04 | | | | | | | | simplifying with (585), (1237) gives:
% 74.78/11.04 | | | | | | | | (1286) all_300_1 = true
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (43) with all_294_1, all_300_1,
% 74.78/11.04 | | | | | | | | all_44_1, simplifying with (1226), (1237) gives:
% 74.78/11.04 | | | | | | | | (1287) all_300_1 = all_294_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (43) with all_288_1, all_300_1,
% 74.78/11.04 | | | | | | | | all_44_1, simplifying with (1214), (1237) gives:
% 74.78/11.04 | | | | | | | | (1288) all_300_1 = all_288_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (43) with all_300_1, all_304_1,
% 74.78/11.04 | | | | | | | | all_44_1, simplifying with (1237), (1245) gives:
% 74.78/11.04 | | | | | | | | (1289) all_304_1 = all_300_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (43) with all_286_1, all_304_1,
% 74.78/11.04 | | | | | | | | all_44_1, simplifying with (1210), (1245) gives:
% 74.78/11.04 | | | | | | | | (1290) all_304_1 = all_286_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (43) with all_300_1, all_308_1,
% 74.78/11.04 | | | | | | | | all_44_1, simplifying with (1237), (1252) gives:
% 74.78/11.04 | | | | | | | | (1291) all_308_1 = all_300_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (43) with all_280_0, all_308_1,
% 74.78/11.04 | | | | | | | | all_44_1, simplifying with (1202), (1252) gives:
% 74.78/11.04 | | | | | | | | (1292) all_308_1 = all_280_0
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (47) with all_310_0, all_314_0,
% 74.78/11.04 | | | | | | | | false2, true, simplifying with (1254), (1261)
% 74.78/11.04 | | | | | | | | gives:
% 74.78/11.04 | | | | | | | | (1293) all_314_0 = all_310_0
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (47) with all_306_0, all_314_0,
% 74.78/11.04 | | | | | | | | false2, true, simplifying with (1250), (1261)
% 74.78/11.04 | | | | | | | | gives:
% 74.78/11.04 | | | | | | | | (1294) all_314_0 = all_306_0
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (47) with false2, all_318_0, false2,
% 74.78/11.04 | | | | | | | | true, simplifying with (588), (1268) gives:
% 74.78/11.04 | | | | | | | | (1295) all_318_0 = false2
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (47) with all_310_0, all_318_0,
% 74.78/11.04 | | | | | | | | false2, true, simplifying with (1254), (1268)
% 74.78/11.04 | | | | | | | | gives:
% 74.78/11.04 | | | | | | | | (1296) all_318_0 = all_310_0
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (47) with all_42_2, all_302_0,
% 74.78/11.04 | | | | | | | | all_42_2, true, simplifying with (593), (1242)
% 74.78/11.04 | | | | | | | | gives:
% 74.78/11.04 | | | | | | | | (1297) all_302_0 = all_42_2
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (47) with all_296_0, all_302_0,
% 74.78/11.04 | | | | | | | | all_42_2, true, simplifying with (1230), (1242)
% 74.78/11.04 | | | | | | | | gives:
% 74.78/11.04 | | | | | | | | (1298) all_302_0 = all_296_0
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (47) with all_302_0, all_320_0,
% 74.78/11.04 | | | | | | | | all_42_2, true, simplifying with (1242), (1271)
% 74.78/11.04 | | | | | | | | gives:
% 74.78/11.04 | | | | | | | | (1299) all_320_0 = all_302_0
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (47) with all_298_0, all_320_0,
% 74.78/11.04 | | | | | | | | all_42_2, true, simplifying with (1234), (1271)
% 74.78/11.04 | | | | | | | | gives:
% 74.78/11.04 | | | | | | | | (1300) all_320_0 = all_298_0
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (47) with all_44_1, all_288_0,
% 74.78/11.04 | | | | | | | | all_44_1, true, simplifying with (598), (1215)
% 74.78/11.04 | | | | | | | | gives:
% 74.78/11.04 | | | | | | | | (1301) all_288_0 = all_44_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (47) with all_288_0, all_300_0,
% 74.78/11.04 | | | | | | | | all_44_1, true, simplifying with (1215), (1238)
% 74.78/11.04 | | | | | | | | gives:
% 74.78/11.04 | | | | | | | | (1302) all_300_0 = all_288_0
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (47) with all_300_0, all_304_0,
% 74.78/11.04 | | | | | | | | all_44_1, true, simplifying with (1238), (1246)
% 74.78/11.04 | | | | | | | | gives:
% 74.78/11.04 | | | | | | | | (1303) all_304_0 = all_300_0
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (47) with all_286_0, all_304_0,
% 74.78/11.04 | | | | | | | | all_44_1, true, simplifying with (1211), (1246)
% 74.78/11.04 | | | | | | | | gives:
% 74.78/11.04 | | | | | | | | (1304) all_304_0 = all_286_0
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (47) with all_312_0, all_316_0,
% 74.78/11.04 | | | | | | | | false2, false2, simplifying with (1257), (1264)
% 74.78/11.04 | | | | | | | | gives:
% 74.78/11.04 | | | | | | | | (1305) all_316_0 = all_312_0
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | GROUND_INST: instantiating (48) with err, all_268_0, all_42_2,
% 74.78/11.04 | | | | | | | | true, simplifying with (1161), (1191) gives:
% 74.78/11.04 | | | | | | | | (1306) all_268_0 = err
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1299), (1300) imply:
% 74.78/11.04 | | | | | | | | (1307) all_302_0 = all_298_0
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | SIMP: (1307) implies:
% 74.78/11.04 | | | | | | | | (1308) all_302_0 = all_298_0
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1284), (1285) imply:
% 74.78/11.04 | | | | | | | | (1309) all_302_1 = all_290_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | SIMP: (1309) implies:
% 74.78/11.04 | | | | | | | | (1310) all_302_1 = all_290_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1295), (1296) imply:
% 74.78/11.04 | | | | | | | | (1311) all_310_0 = false2
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | SIMP: (1311) implies:
% 74.78/11.04 | | | | | | | | (1312) all_310_0 = false2
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1277), (1278) imply:
% 74.78/11.04 | | | | | | | | (1313) all_316_1 = all_284_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | SIMP: (1313) implies:
% 74.78/11.04 | | | | | | | | (1314) all_316_1 = all_284_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1276), (1314) imply:
% 74.78/11.04 | | | | | | | | (1315) all_312_1 = all_284_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | SIMP: (1315) implies:
% 74.78/11.04 | | | | | | | | (1316) all_312_1 = all_284_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1293), (1294) imply:
% 74.78/11.04 | | | | | | | | (1317) all_310_0 = all_306_0
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | SIMP: (1317) implies:
% 74.78/11.04 | | | | | | | | (1318) all_310_0 = all_306_0
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1274), (1275) imply:
% 74.78/11.04 | | | | | | | | (1319) all_312_1 = all_306_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | SIMP: (1319) implies:
% 74.78/11.04 | | | | | | | | (1320) all_312_1 = all_306_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1273), (1275) imply:
% 74.78/11.04 | | | | | | | | (1321) all_306_1 = true
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1316), (1320) imply:
% 74.78/11.04 | | | | | | | | (1322) all_306_1 = all_284_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | SIMP: (1322) implies:
% 74.78/11.04 | | | | | | | | (1323) all_306_1 = all_284_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1312), (1318) imply:
% 74.78/11.04 | | | | | | | | (1324) all_306_0 = false2
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | SIMP: (1324) implies:
% 74.78/11.04 | | | | | | | | (1325) all_306_0 = false2
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1291), (1292) imply:
% 74.78/11.04 | | | | | | | | (1326) all_300_1 = all_280_0
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | SIMP: (1326) implies:
% 74.78/11.04 | | | | | | | | (1327) all_300_1 = all_280_0
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1321), (1323) imply:
% 74.78/11.04 | | | | | | | | (1328) all_284_1 = true
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1303), (1304) imply:
% 74.78/11.04 | | | | | | | | (1329) all_300_0 = all_286_0
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | SIMP: (1329) implies:
% 74.78/11.04 | | | | | | | | (1330) all_300_0 = all_286_0
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1289), (1290) imply:
% 74.78/11.04 | | | | | | | | (1331) all_300_1 = all_286_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | SIMP: (1331) implies:
% 74.78/11.04 | | | | | | | | (1332) all_300_1 = all_286_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1297), (1308) imply:
% 74.78/11.04 | | | | | | | | (1333) all_298_0 = all_42_2
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1298), (1308) imply:
% 74.78/11.04 | | | | | | | | (1334) all_298_0 = all_296_0
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1283), (1310) imply:
% 74.78/11.04 | | | | | | | | (1335) all_296_1 = all_290_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | SIMP: (1335) implies:
% 74.78/11.04 | | | | | | | | (1336) all_296_1 = all_290_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1302), (1330) imply:
% 74.78/11.04 | | | | | | | | (1337) all_288_0 = all_286_0
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | SIMP: (1337) implies:
% 74.78/11.04 | | | | | | | | (1338) all_288_0 = all_286_0
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1286), (1287) imply:
% 74.78/11.04 | | | | | | | | (1339) all_294_1 = true
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1287), (1288) imply:
% 74.78/11.04 | | | | | | | | (1340) all_294_1 = all_288_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1287), (1332) imply:
% 74.78/11.04 | | | | | | | | (1341) all_294_1 = all_286_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1287), (1327) imply:
% 74.78/11.04 | | | | | | | | (1342) all_294_1 = all_280_0
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1333), (1334) imply:
% 74.78/11.04 | | | | | | | | (1343) all_296_0 = all_42_2
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | SIMP: (1343) implies:
% 74.78/11.04 | | | | | | | | (1344) all_296_0 = all_42_2
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1281), (1282) imply:
% 74.78/11.04 | | | | | | | | (1345) all_292_1 = all_274_0
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | SIMP: (1345) implies:
% 74.78/11.04 | | | | | | | | (1346) all_292_1 = all_274_0
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1280), (1336) imply:
% 74.78/11.04 | | | | | | | | (1347) all_292_1 = all_290_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | SIMP: (1347) implies:
% 74.78/11.04 | | | | | | | | (1348) all_292_1 = all_290_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1339), (1340) imply:
% 74.78/11.04 | | | | | | | | (1349) all_288_1 = true
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1340), (1342) imply:
% 74.78/11.04 | | | | | | | | (1350) all_288_1 = all_280_0
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1340), (1341) imply:
% 74.78/11.04 | | | | | | | | (1351) all_288_1 = all_286_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1346), (1348) imply:
% 74.78/11.04 | | | | | | | | (1352) all_290_1 = all_274_0
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1279), (1348) imply:
% 74.78/11.04 | | | | | | | | (1353) all_290_1 = true
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1352), (1353) imply:
% 74.78/11.04 | | | | | | | | (1354) all_274_0 = true
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1301), (1338) imply:
% 74.78/11.04 | | | | | | | | (1355) all_286_0 = all_44_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1349), (1351) imply:
% 74.78/11.04 | | | | | | | | (1356) all_286_1 = true
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1350), (1351) imply:
% 74.78/11.04 | | | | | | | | (1357) all_286_1 = all_280_0
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1356), (1357) imply:
% 74.78/11.04 | | | | | | | | (1358) all_280_0 = true
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | SIMP: (1358) implies:
% 74.78/11.04 | | | | | | | | (1359) all_280_0 = true
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1336), (1353) imply:
% 74.78/11.04 | | | | | | | | (1360) all_296_1 = true
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1282), (1354) imply:
% 74.78/11.04 | | | | | | | | (1361) all_298_1 = true
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1330), (1355) imply:
% 74.78/11.04 | | | | | | | | (1362) all_300_0 = all_44_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1310), (1353) imply:
% 74.78/11.04 | | | | | | | | (1363) all_302_1 = true
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1290), (1356) imply:
% 74.78/11.04 | | | | | | | | (1364) all_304_1 = true
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1304), (1355) imply:
% 74.78/11.04 | | | | | | | | (1365) all_304_0 = all_44_1
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1316), (1328) imply:
% 74.78/11.04 | | | | | | | | (1366) all_312_1 = true
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1314), (1328) imply:
% 74.78/11.04 | | | | | | | | (1367) all_316_1 = true
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1285), (1353) imply:
% 74.78/11.04 | | | | | | | | (1368) all_320_1 = true
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | COMBINE_EQS: (1300), (1333) imply:
% 74.78/11.04 | | | | | | | | (1369) all_320_0 = all_42_2
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | REDUCE: (1192), (1306) imply:
% 74.78/11.04 | | | | | | | | (1370) f7(all_42_2) = err
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | REDUCE: (1272), (1368), (1369) imply:
% 74.78/11.04 | | | | | | | | (1371) lazy_impl(true, all_42_2) = all_320_2
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | REDUCE: (1265), (1305), (1367) imply:
% 74.78/11.04 | | | | | | | | (1372) lazy_impl(true, all_312_0) = all_316_2
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | REDUCE: (1258), (1366) imply:
% 74.78/11.04 | | | | | | | | (1373) lazy_impl(true, all_312_0) = all_312_2
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | REDUCE: (1247), (1364), (1365) imply:
% 74.78/11.04 | | | | | | | | (1374) lazy_impl(true, all_44_1) = all_304_2
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | REDUCE: (1243), (1297), (1363) imply:
% 74.78/11.04 | | | | | | | | (1375) lazy_impl(true, all_42_2) = all_302_2
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | REDUCE: (1239), (1286), (1362) imply:
% 74.78/11.04 | | | | | | | | (1376) lazy_impl(true, all_44_1) = all_300_2
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | REDUCE: (1235), (1333), (1361) imply:
% 74.78/11.04 | | | | | | | | (1377) lazy_impl(true, all_42_2) = all_298_2
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | REDUCE: (1231), (1344), (1360) imply:
% 74.78/11.04 | | | | | | | | (1378) lazy_impl(true, all_42_2) = all_296_2
% 74.78/11.04 | | | | | | | |
% 74.78/11.04 | | | | | | | | REDUCE: (1224), (1279) imply:
% 74.78/11.04 | | | | | | | | (1379) lazy_impl(true, all_292_0) = all_292_2
% 74.78/11.05 | | | | | | | |
% 74.78/11.05 | | | | | | | | REDUCE: (1220), (1353) imply:
% 74.78/11.05 | | | | | | | | (1380) lazy_impl(true, all_290_0) = all_290_2
% 74.78/11.05 | | | | | | | |
% 74.78/11.05 | | | | | | | | REDUCE: (1216), (1301), (1349) imply:
% 74.78/11.05 | | | | | | | | (1381) lazy_impl(true, all_44_1) = all_288_2
% 74.78/11.05 | | | | | | | |
% 74.78/11.05 | | | | | | | | REDUCE: (1212), (1355), (1356) imply:
% 74.78/11.05 | | | | | | | | (1382) lazy_impl(true, all_44_1) = all_286_2
% 74.78/11.05 | | | | | | | |
% 74.78/11.05 | | | | | | | | REDUCE: (1207), (1328) imply:
% 74.78/11.05 | | | | | | | | (1383) lazy_impl(true, all_284_0) = all_284_2
% 74.78/11.05 | | | | | | | |
% 74.78/11.05 | | | | | | | | REDUCE: (1203), (1359) imply:
% 74.78/11.05 | | | | | | | | (1384) lazy_impl(true, all_44_1) = all_280_1
% 74.78/11.05 | | | | | | | |
% 74.78/11.05 | | | | | | | | REDUCE: (1197), (1354) imply:
% 74.78/11.05 | | | | | | | | (1385) lazy_impl(true, all_42_2) = all_274_1
% 74.78/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | GROUND_INST: instantiating (48) with all_274_1, all_302_2,
% 74.84/11.05 | | | | | | | | all_42_2, true, simplifying with (1375), (1385)
% 74.84/11.05 | | | | | | | | gives:
% 74.84/11.05 | | | | | | | | (1386) all_302_2 = all_274_1
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | GROUND_INST: instantiating (48) with err, all_320_2, all_42_2,
% 74.84/11.05 | | | | | | | | true, simplifying with (1161), (1371) gives:
% 74.84/11.05 | | | | | | | | (1387) all_320_2 = err
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | GROUND_INST: instantiating (48) with all_302_2, all_320_2,
% 74.84/11.05 | | | | | | | | all_42_2, true, simplifying with (1371), (1375)
% 74.84/11.05 | | | | | | | | gives:
% 74.84/11.05 | | | | | | | | (1388) all_320_2 = all_302_2
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | GROUND_INST: instantiating (48) with all_298_2, all_320_2,
% 74.84/11.05 | | | | | | | | all_42_2, true, simplifying with (1371), (1377)
% 74.84/11.05 | | | | | | | | gives:
% 74.84/11.05 | | | | | | | | (1389) all_320_2 = all_298_2
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | GROUND_INST: instantiating (48) with all_296_2, all_320_2,
% 74.84/11.05 | | | | | | | | all_42_2, true, simplifying with (1371), (1378)
% 74.84/11.05 | | | | | | | | gives:
% 74.84/11.05 | | | | | | | | (1390) all_320_2 = all_296_2
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | GROUND_INST: instantiating (48) with false2, all_286_2,
% 74.84/11.05 | | | | | | | | all_44_1, true, simplifying with (583), (1382)
% 74.84/11.05 | | | | | | | | gives:
% 74.84/11.05 | | | | | | | | (1391) all_286_2 = false2
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | GROUND_INST: instantiating (48) with all_286_2, all_288_2,
% 74.84/11.05 | | | | | | | | all_44_1, true, simplifying with (1381), (1382)
% 74.84/11.05 | | | | | | | | gives:
% 74.84/11.05 | | | | | | | | (1392) all_288_2 = all_286_2
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | GROUND_INST: instantiating (48) with all_288_2, all_300_2,
% 74.84/11.05 | | | | | | | | all_44_1, true, simplifying with (1376), (1381)
% 74.84/11.05 | | | | | | | | gives:
% 74.84/11.05 | | | | | | | | (1393) all_300_2 = all_288_2
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | GROUND_INST: instantiating (48) with all_300_2, all_304_2,
% 74.84/11.05 | | | | | | | | all_44_1, true, simplifying with (1374), (1376)
% 74.84/11.05 | | | | | | | | gives:
% 74.84/11.05 | | | | | | | | (1394) all_304_2 = all_300_2
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | GROUND_INST: instantiating (48) with all_280_1, all_304_2,
% 74.84/11.05 | | | | | | | | all_44_1, true, simplifying with (1374), (1384)
% 74.84/11.05 | | | | | | | | gives:
% 74.84/11.05 | | | | | | | | (1395) all_304_2 = all_280_1
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | GROUND_INST: instantiating (48) with all_312_2, all_316_2,
% 74.84/11.05 | | | | | | | | all_312_0, true, simplifying with (1372), (1373)
% 74.84/11.05 | | | | | | | | gives:
% 74.84/11.05 | | | | | | | | (1396) all_316_2 = all_312_2
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | COMBINE_EQS: (1387), (1389) imply:
% 74.84/11.05 | | | | | | | | (1397) all_298_2 = err
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | COMBINE_EQS: (1388), (1389) imply:
% 74.84/11.05 | | | | | | | | (1398) all_302_2 = all_298_2
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | SIMP: (1398) implies:
% 74.84/11.05 | | | | | | | | (1399) all_302_2 = all_298_2
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | COMBINE_EQS: (1389), (1390) imply:
% 74.84/11.05 | | | | | | | | (1400) all_298_2 = all_296_2
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | COMBINE_EQS: (1394), (1395) imply:
% 74.84/11.05 | | | | | | | | (1401) all_300_2 = all_280_1
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | SIMP: (1401) implies:
% 74.84/11.05 | | | | | | | | (1402) all_300_2 = all_280_1
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | COMBINE_EQS: (1386), (1399) imply:
% 74.84/11.05 | | | | | | | | (1403) all_298_2 = all_274_1
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | SIMP: (1403) implies:
% 74.84/11.05 | | | | | | | | (1404) all_298_2 = all_274_1
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | COMBINE_EQS: (1393), (1402) imply:
% 74.84/11.05 | | | | | | | | (1405) all_288_2 = all_280_1
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | SIMP: (1405) implies:
% 74.84/11.05 | | | | | | | | (1406) all_288_2 = all_280_1
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | COMBINE_EQS: (1397), (1400) imply:
% 74.84/11.05 | | | | | | | | (1407) all_296_2 = err
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | COMBINE_EQS: (1400), (1404) imply:
% 74.84/11.05 | | | | | | | | (1408) all_296_2 = all_274_1
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | COMBINE_EQS: (1407), (1408) imply:
% 74.84/11.05 | | | | | | | | (1409) all_274_1 = err
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | COMBINE_EQS: (1392), (1406) imply:
% 74.84/11.05 | | | | | | | | (1410) all_286_2 = all_280_1
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | SIMP: (1410) implies:
% 74.84/11.05 | | | | | | | | (1411) all_286_2 = all_280_1
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | COMBINE_EQS: (1391), (1411) imply:
% 74.84/11.05 | | | | | | | | (1412) all_280_1 = false2
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | SIMP: (1412) implies:
% 74.84/11.05 | | | | | | | | (1413) all_280_1 = false2
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | GROUND_INST: instantiating (12) with all_44_1, all_276_0,
% 74.84/11.05 | | | | | | | | simplifying with (58), (1199) gives:
% 74.84/11.05 | | | | | | | | (1414) ? [v0: $i] : (phi(all_44_1) = v0 & $i(v0) & ((v0 =
% 74.84/11.05 | | | | | | | | all_44_1 & all_276_0 = 0) | (v0 = err & ~
% 74.84/11.05 | | | | | | | | (all_276_0 = 0))))
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | GROUND_INST: instantiating (25) with err, true, all_42_2,
% 74.84/11.05 | | | | | | | | all_42_2, all_290_0, simplifying with (11), (36),
% 74.84/11.05 | | | | | | | | (54), (593), (1219) gives:
% 74.84/11.05 | | | | | | | | (1415) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(err,
% 74.84/11.05 | | | | | | | | true, all_42_2) = v0 & lazy_impl(v1, v2) = v0 &
% 74.84/11.05 | | | | | | | | impl(all_290_0, all_42_2) = v2 & prop(all_42_2) = v1
% 74.84/11.05 | | | | | | | | & $i(v2) & $i(v1) & $i(v0))
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | GROUND_INST: instantiating (impl_axiom1) with err, all_42_2,
% 74.84/11.05 | | | | | | | | all_290_0, simplifying with (11), (54), (1219)
% 74.84/11.05 | | | | | | | | gives:
% 74.84/11.05 | | | | | | | | (1416) ? [v0: any] : ? [v1: $i] : (phi(err) = v1 &
% 74.84/11.05 | | | | | | | | bool(err) = v0 & $i(v1) & (v1 = all_290_0 | v0 = 0))
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | GROUND_INST: instantiating (25) with false2, true, false2,
% 74.84/11.05 | | | | | | | | false2, all_312_0, simplifying with (36), (71),
% 74.84/11.05 | | | | | | | | (588), (1257) gives:
% 74.84/11.05 | | | | | | | | (1417) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(false2,
% 74.84/11.05 | | | | | | | | true, false2) = v0 & lazy_impl(v1, v2) = v0 &
% 74.84/11.05 | | | | | | | | impl(all_312_0, false2) = v2 & prop(false2) = v1 &
% 74.84/11.05 | | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | GROUND_INST: instantiating (38) with false2, all_312_0,
% 74.84/11.05 | | | | | | | | simplifying with (71), (1257) gives:
% 74.84/11.05 | | | | | | | | (1418) not2(false2) = all_312_0 & $i(all_312_0)
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | ALPHA: (1418) implies:
% 74.84/11.05 | | | | | | | | (1419) $i(all_312_0)
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | GROUND_INST: instantiating (25) with all_42_2, true, all_42_2,
% 74.84/11.05 | | | | | | | | all_42_2, all_292_0, simplifying with (36), (54),
% 74.84/11.05 | | | | | | | | (593), (1223) gives:
% 74.84/11.05 | | | | | | | | (1420) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 74.84/11.05 | | | | | | | | (f1(all_42_2, true, all_42_2) = v0 & lazy_impl(v1, v2)
% 74.84/11.05 | | | | | | | | = v0 & impl(all_292_0, all_42_2) = v2 &
% 74.84/11.05 | | | | | | | | prop(all_42_2) = v1 & $i(v2) & $i(v1) & $i(v0))
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | GROUND_INST: instantiating (25) with all_42_0, true, false2,
% 74.84/11.05 | | | | | | | | false2, all_284_0, simplifying with (36), (71),
% 74.84/11.05 | | | | | | | | (78), (588), (1206) gives:
% 74.84/11.05 | | | | | | | | (1421) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 74.84/11.05 | | | | | | | | (f1(all_42_0, true, false2) = v0 & lazy_impl(v1, v2) =
% 74.84/11.05 | | | | | | | | v0 & impl(all_284_0, false2) = v2 & prop(false2) =
% 74.84/11.05 | | | | | | | | v1 & $i(v2) & $i(v1) & $i(v0))
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | GROUND_INST: instantiating (38) with all_42_0, all_284_0,
% 74.84/11.05 | | | | | | | | simplifying with (78), (1206) gives:
% 74.84/11.05 | | | | | | | | (1422) not2(all_42_0) = all_284_0 & $i(all_284_0)
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | ALPHA: (1422) implies:
% 74.84/11.05 | | | | | | | | (1423) $i(all_284_0)
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | GROUND_INST: instantiating (impl_axiom2) with all_42_0, false2,
% 74.84/11.05 | | | | | | | | all_284_0, simplifying with (71), (78), (1206)
% 74.84/11.05 | | | | | | | | gives:
% 74.84/11.05 | | | | | | | | (1424) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 74.84/11.05 | | | | | | | | (phi(false2) = v2 & bool(all_42_0) = v0 & bool(false2)
% 74.84/11.05 | | | | | | | | = v1 & $i(v2) & ( ~ (v0 = 0) | v2 = all_284_0 | v1 =
% 74.84/11.05 | | | | | | | | 0))
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | GROUND_INST: instantiating (27) with true, all_42_0, false2,
% 74.84/11.05 | | | | | | | | all_284_0, all_284_2, simplifying with (36), (71),
% 74.84/11.05 | | | | | | | | (78), (1206), (1383) gives:
% 74.84/11.05 | | | | | | | | (1425) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true,
% 74.84/11.05 | | | | | | | | all_42_0, false2) = v0 & lazy_impl(v1, v2) = v0 &
% 74.84/11.05 | | | | | | | | impl(all_284_2, false2) = v2 & prop(false2) = v1 &
% 74.84/11.05 | | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | GROUND_INST: instantiating (24) with all_284_0, all_284_2,
% 74.84/11.05 | | | | | | | | simplifying with (1383), (1423) gives:
% 74.84/11.05 | | | | | | | | (1426) phi(all_284_0) = all_284_2 & $i(all_284_2)
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | ALPHA: (1426) implies:
% 74.84/11.05 | | | | | | | | (1427) phi(all_284_0) = all_284_2
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | GROUND_INST: instantiating (27) with true, err, all_42_2,
% 74.84/11.05 | | | | | | | | all_290_0, all_290_2, simplifying with (11), (36),
% 74.84/11.05 | | | | | | | | (54), (1219), (1380) gives:
% 74.84/11.05 | | | | | | | | (1428) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true,
% 74.84/11.05 | | | | | | | | err, all_42_2) = v0 & lazy_impl(v1, v2) = v0 &
% 74.84/11.05 | | | | | | | | impl(all_290_2, all_42_2) = v2 & prop(all_42_2) = v1
% 74.84/11.05 | | | | | | | | & $i(v2) & $i(v1) & $i(v0))
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | GROUND_INST: instantiating (27) with true, all_42_2, all_42_2,
% 74.84/11.05 | | | | | | | | all_292_0, all_292_2, simplifying with (36), (54),
% 74.84/11.05 | | | | | | | | (1223), (1379) gives:
% 74.84/11.05 | | | | | | | | (1429) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true,
% 74.84/11.05 | | | | | | | | all_42_2, all_42_2) = v0 & lazy_impl(v1, v2) = v0
% 74.84/11.05 | | | | | | | | & impl(all_292_2, all_42_2) = v2 & prop(all_42_2) =
% 74.84/11.05 | | | | | | | | v1 & $i(v2) & $i(v1) & $i(v0))
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | GROUND_INST: instantiating (27) with true, false2, false2,
% 74.84/11.05 | | | | | | | | all_312_0, all_312_2, simplifying with (36), (71),
% 74.84/11.05 | | | | | | | | (1257), (1373) gives:
% 74.84/11.05 | | | | | | | | (1430) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true,
% 74.84/11.05 | | | | | | | | false2, false2) = v0 & lazy_impl(v1, v2) = v0 &
% 74.84/11.05 | | | | | | | | impl(all_312_2, false2) = v2 & prop(false2) = v1 &
% 74.84/11.05 | | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | GROUND_INST: instantiating (24) with all_312_0, all_312_2,
% 74.84/11.05 | | | | | | | | simplifying with (1373), (1419) gives:
% 74.84/11.05 | | | | | | | | (1431) phi(all_312_0) = all_312_2 & $i(all_312_2)
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | ALPHA: (1431) implies:
% 74.84/11.05 | | | | | | | | (1432) phi(all_312_0) = all_312_2
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | GROUND_INST: instantiating (62) with all_42_2, err, simplifying
% 74.84/11.05 | | | | | | | | with (54), (1370) gives:
% 74.84/11.05 | | | | | | | | (1433) ? [v0: int] : ( ~ (v0 = 0) & forallprefers(err,
% 74.84/11.05 | | | | | | | | all_44_0) = v0)
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | DELTA: instantiating (1433) with fresh symbol all_336_0 gives:
% 74.84/11.05 | | | | | | | | (1434) ~ (all_336_0 = 0) & forallprefers(err, all_44_0) =
% 74.84/11.05 | | | | | | | | all_336_0
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | ALPHA: (1434) implies:
% 74.84/11.05 | | | | | | | | (1435) ~ (all_336_0 = 0)
% 74.84/11.05 | | | | | | | | (1436) forallprefers(err, all_44_0) = all_336_0
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | DELTA: instantiating (1416) with fresh symbols all_350_0,
% 74.84/11.05 | | | | | | | | all_350_1 gives:
% 74.84/11.05 | | | | | | | | (1437) phi(err) = all_350_0 & bool(err) = all_350_1 &
% 74.84/11.05 | | | | | | | | $i(all_350_0) & (all_350_0 = all_290_0 | all_350_1 =
% 74.84/11.05 | | | | | | | | 0)
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | ALPHA: (1437) implies:
% 74.84/11.05 | | | | | | | | (1438) bool(err) = all_350_1
% 74.84/11.05 | | | | | | | | (1439) phi(err) = all_350_0
% 74.84/11.05 | | | | | | | | (1440) all_350_0 = all_290_0 | all_350_1 = 0
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | DELTA: instantiating (1414) with fresh symbol all_352_0 gives:
% 74.84/11.05 | | | | | | | | (1441) phi(all_44_1) = all_352_0 & $i(all_352_0) &
% 74.84/11.05 | | | | | | | | ((all_352_0 = all_44_1 & all_276_0 = 0) | (all_352_0 =
% 74.84/11.05 | | | | | | | | err & ~ (all_276_0 = 0)))
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | ALPHA: (1441) implies:
% 74.84/11.05 | | | | | | | | (1442) $i(all_352_0)
% 74.84/11.05 | | | | | | | | (1443) phi(all_44_1) = all_352_0
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | DELTA: instantiating (1415) with fresh symbols all_354_0,
% 74.84/11.05 | | | | | | | | all_354_1, all_354_2 gives:
% 74.84/11.05 | | | | | | | | (1444) f1(err, true, all_42_2) = all_354_2 &
% 74.84/11.05 | | | | | | | | lazy_impl(all_354_1, all_354_0) = all_354_2 &
% 74.84/11.05 | | | | | | | | impl(all_290_0, all_42_2) = all_354_0 & prop(all_42_2)
% 74.84/11.05 | | | | | | | | = all_354_1 & $i(all_354_0) & $i(all_354_1) &
% 74.84/11.05 | | | | | | | | $i(all_354_2)
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | ALPHA: (1444) implies:
% 74.84/11.05 | | | | | | | | (1445) prop(all_42_2) = all_354_1
% 74.84/11.05 | | | | | | | | (1446) impl(all_290_0, all_42_2) = all_354_0
% 74.84/11.05 | | | | | | | | (1447) lazy_impl(all_354_1, all_354_0) = all_354_2
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | DELTA: instantiating (1430) with fresh symbols all_356_0,
% 74.84/11.05 | | | | | | | | all_356_1, all_356_2 gives:
% 74.84/11.05 | | | | | | | | (1448) f2(true, false2, false2) = all_356_2 &
% 74.84/11.05 | | | | | | | | lazy_impl(all_356_1, all_356_0) = all_356_2 &
% 74.84/11.05 | | | | | | | | impl(all_312_2, false2) = all_356_0 & prop(false2) =
% 74.84/11.05 | | | | | | | | all_356_1 & $i(all_356_0) & $i(all_356_1) &
% 74.84/11.05 | | | | | | | | $i(all_356_2)
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | ALPHA: (1448) implies:
% 74.84/11.05 | | | | | | | | (1449) impl(all_312_2, false2) = all_356_0
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | DELTA: instantiating (1424) with fresh symbols all_360_0,
% 74.84/11.05 | | | | | | | | all_360_1, all_360_2 gives:
% 74.84/11.05 | | | | | | | | (1450) phi(false2) = all_360_0 & bool(all_42_0) = all_360_2 &
% 74.84/11.05 | | | | | | | | bool(false2) = all_360_1 & $i(all_360_0) & ( ~
% 74.84/11.05 | | | | | | | | (all_360_2 = 0) | all_360_0 = all_284_0 | all_360_1
% 74.84/11.05 | | | | | | | | = 0)
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | ALPHA: (1450) implies:
% 74.84/11.05 | | | | | | | | (1451) bool(false2) = all_360_1
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | DELTA: instantiating (1425) with fresh symbols all_362_0,
% 74.84/11.05 | | | | | | | | all_362_1, all_362_2 gives:
% 74.84/11.05 | | | | | | | | (1452) f2(true, all_42_0, false2) = all_362_2 &
% 74.84/11.05 | | | | | | | | lazy_impl(all_362_1, all_362_0) = all_362_2 &
% 74.84/11.05 | | | | | | | | impl(all_284_2, false2) = all_362_0 & prop(false2) =
% 74.84/11.05 | | | | | | | | all_362_1 & $i(all_362_0) & $i(all_362_1) &
% 74.84/11.05 | | | | | | | | $i(all_362_2)
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | ALPHA: (1452) implies:
% 74.84/11.05 | | | | | | | | (1453) impl(all_284_2, false2) = all_362_0
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | DELTA: instantiating (1421) with fresh symbols all_366_0,
% 74.84/11.05 | | | | | | | | all_366_1, all_366_2 gives:
% 74.84/11.05 | | | | | | | | (1454) f1(all_42_0, true, false2) = all_366_2 &
% 74.84/11.05 | | | | | | | | lazy_impl(all_366_1, all_366_0) = all_366_2 &
% 74.84/11.05 | | | | | | | | impl(all_284_0, false2) = all_366_0 & prop(false2) =
% 74.84/11.05 | | | | | | | | all_366_1 & $i(all_366_0) & $i(all_366_1) &
% 74.84/11.05 | | | | | | | | $i(all_366_2)
% 74.84/11.05 | | | | | | | |
% 74.84/11.05 | | | | | | | | ALPHA: (1454) implies:
% 74.84/11.06 | | | | | | | | (1455) impl(all_284_0, false2) = all_366_0
% 74.84/11.06 | | | | | | | |
% 74.84/11.06 | | | | | | | | DELTA: instantiating (1420) with fresh symbols all_368_0,
% 74.84/11.06 | | | | | | | | all_368_1, all_368_2 gives:
% 74.84/11.06 | | | | | | | | (1456) f1(all_42_2, true, all_42_2) = all_368_2 &
% 74.84/11.06 | | | | | | | | lazy_impl(all_368_1, all_368_0) = all_368_2 &
% 74.84/11.06 | | | | | | | | impl(all_292_0, all_42_2) = all_368_0 & prop(all_42_2)
% 74.84/11.06 | | | | | | | | = all_368_1 & $i(all_368_0) & $i(all_368_1) &
% 74.84/11.06 | | | | | | | | $i(all_368_2)
% 74.84/11.06 | | | | | | | |
% 74.84/11.06 | | | | | | | | ALPHA: (1456) implies:
% 74.84/11.06 | | | | | | | | (1457) prop(all_42_2) = all_368_1
% 74.84/11.06 | | | | | | | |
% 74.84/11.06 | | | | | | | | DELTA: instantiating (1417) with fresh symbols all_370_0,
% 74.84/11.06 | | | | | | | | all_370_1, all_370_2 gives:
% 74.84/11.06 | | | | | | | | (1458) f1(false2, true, false2) = all_370_2 &
% 74.84/11.06 | | | | | | | | lazy_impl(all_370_1, all_370_0) = all_370_2 &
% 74.84/11.06 | | | | | | | | impl(all_312_0, false2) = all_370_0 & prop(false2) =
% 74.84/11.06 | | | | | | | | all_370_1 & $i(all_370_0) & $i(all_370_1) &
% 74.84/11.06 | | | | | | | | $i(all_370_2)
% 74.84/11.06 | | | | | | | |
% 74.84/11.06 | | | | | | | | ALPHA: (1458) implies:
% 74.84/11.06 | | | | | | | | (1459) impl(all_312_0, false2) = all_370_0
% 74.84/11.06 | | | | | | | |
% 74.84/11.06 | | | | | | | | DELTA: instantiating (1428) with fresh symbols all_372_0,
% 74.84/11.06 | | | | | | | | all_372_1, all_372_2 gives:
% 74.84/11.06 | | | | | | | | (1460) f2(true, err, all_42_2) = all_372_2 &
% 74.84/11.06 | | | | | | | | lazy_impl(all_372_1, all_372_0) = all_372_2 &
% 74.84/11.06 | | | | | | | | impl(all_290_2, all_42_2) = all_372_0 & prop(all_42_2)
% 74.84/11.06 | | | | | | | | = all_372_1 & $i(all_372_0) & $i(all_372_1) &
% 74.84/11.06 | | | | | | | | $i(all_372_2)
% 74.84/11.06 | | | | | | | |
% 74.84/11.06 | | | | | | | | ALPHA: (1460) implies:
% 74.84/11.06 | | | | | | | | (1461) $i(all_372_2)
% 74.84/11.06 | | | | | | | | (1462) prop(all_42_2) = all_372_1
% 74.84/11.06 | | | | | | | | (1463) impl(all_290_2, all_42_2) = all_372_0
% 74.84/11.06 | | | | | | | | (1464) lazy_impl(all_372_1, all_372_0) = all_372_2
% 74.84/11.06 | | | | | | | |
% 74.84/11.06 | | | | | | | | DELTA: instantiating (1429) with fresh symbols all_378_0,
% 74.84/11.06 | | | | | | | | all_378_1, all_378_2 gives:
% 74.84/11.06 | | | | | | | | (1465) f2(true, all_42_2, all_42_2) = all_378_2 &
% 74.84/11.06 | | | | | | | | lazy_impl(all_378_1, all_378_0) = all_378_2 &
% 74.84/11.06 | | | | | | | | impl(all_292_2, all_42_2) = all_378_0 & prop(all_42_2)
% 74.84/11.06 | | | | | | | | = all_378_1 & $i(all_378_0) & $i(all_378_1) &
% 74.84/11.06 | | | | | | | | $i(all_378_2)
% 74.84/11.06 | | | | | | | |
% 74.84/11.06 | | | | | | | | ALPHA: (1465) implies:
% 74.84/11.06 | | | | | | | | (1466) prop(all_42_2) = all_378_1
% 74.84/11.06 | | | | | | | |
% 74.84/11.06 | | | | | | | | REDUCE: (565), (1436) imply:
% 74.84/11.06 | | | | | | | | (1467) forallprefers(err, false2) = all_336_0
% 74.84/11.06 | | | | | | | |
% 74.84/11.06 | | | | | | | | GROUND_INST: instantiating (40) with all_91_1, all_350_1, err,
% 74.84/11.06 | | | | | | | | simplifying with (160), (1438) gives:
% 74.84/11.06 | | | | | | | | (1468) all_350_1 = all_91_1
% 74.84/11.06 | | | | | | | |
% 74.84/11.06 | | | | | | | | GROUND_INST: instantiating (40) with 0, all_360_1, false2,
% 74.84/11.06 | | | | | | | | simplifying with (573), (1451) gives:
% 74.84/11.06 | | | | | | | | (1469) all_360_1 = 0
% 74.84/11.06 | | | | | | | |
% 74.84/11.06 | | | | | | | | GROUND_INST: instantiating (42) with err, all_350_0, err,
% 74.84/11.06 | | | | | | | | simplifying with (65), (1439) gives:
% 74.84/11.06 | | | | | | | | (1470) all_350_0 = err
% 74.84/11.06 | | | | | | | |
% 74.84/11.06 | | | | | | | | GROUND_INST: instantiating (42) with false2, all_352_0,
% 74.84/11.06 | | | | | | | | all_44_1, simplifying with (601), (1443) gives:
% 74.84/11.06 | | | | | | | | (1471) all_352_0 = false2
% 74.84/11.06 | | | | | | | |
% 74.84/11.06 | | | | | | | | GROUND_INST: instantiating (43) with true, all_368_1, all_42_2,
% 74.84/11.06 | | | | | | | | simplifying with (595), (1457) gives:
% 74.84/11.06 | | | | | | | | (1472) all_368_1 = true
% 74.84/11.06 | | | | | | | |
% 74.84/11.06 | | | | | | | | GROUND_INST: instantiating (43) with all_372_1, all_378_1,
% 74.84/11.06 | | | | | | | | all_42_2, simplifying with (1462), (1466) gives:
% 74.84/11.06 | | | | | | | | (1473) all_378_1 = all_372_1
% 74.84/11.06 | | | | | | | |
% 74.84/11.06 | | | | | | | | GROUND_INST: instantiating (43) with all_368_1, all_378_1,
% 74.84/11.06 | | | | | | | | all_42_2, simplifying with (1457), (1466) gives:
% 74.84/11.06 | | | | | | | | (1474) all_378_1 = all_368_1
% 74.84/11.06 | | | | | | | |
% 74.84/11.06 | | | | | | | | GROUND_INST: instantiating (43) with all_354_1, all_378_1,
% 74.84/11.06 | | | | | | | | all_42_2, simplifying with (1445), (1466) gives:
% 74.84/11.06 | | | | | | | | (1475) all_378_1 = all_354_1
% 74.84/11.06 | | | | | | | |
% 74.84/11.06 | | | | | | | | COMBINE_EQS: (1473), (1475) imply:
% 74.84/11.06 | | | | | | | | (1476) all_372_1 = all_354_1
% 74.84/11.06 | | | | | | | |
% 74.84/11.06 | | | | | | | | COMBINE_EQS: (1473), (1474) imply:
% 74.84/11.06 | | | | | | | | (1477) all_372_1 = all_368_1
% 74.84/11.06 | | | | | | | |
% 74.84/11.06 | | | | | | | | COMBINE_EQS: (1476), (1477) imply:
% 74.84/11.06 | | | | | | | | (1478) all_368_1 = all_354_1
% 74.84/11.06 | | | | | | | |
% 74.84/11.06 | | | | | | | | SIMP: (1478) implies:
% 74.84/11.06 | | | | | | | | (1479) all_368_1 = all_354_1
% 74.84/11.06 | | | | | | | |
% 74.84/11.06 | | | | | | | | COMBINE_EQS: (1472), (1479) imply:
% 74.84/11.06 | | | | | | | | (1480) all_354_1 = true
% 74.84/11.06 | | | | | | | |
% 74.84/11.06 | | | | | | | | SIMP: (1480) implies:
% 74.84/11.06 | | | | | | | | (1481) all_354_1 = true
% 74.84/11.06 | | | | | | | |
% 74.84/11.06 | | | | | | | | COMBINE_EQS: (1476), (1481) imply:
% 74.84/11.06 | | | | | | | | (1482) all_372_1 = true
% 74.84/11.06 | | | | | | | |
% 74.84/11.06 | | | | | | | | REDUCE: (1464), (1482) imply:
% 74.84/11.06 | | | | | | | | (1483) lazy_impl(true, all_372_0) = all_372_2
% 74.84/11.06 | | | | | | | |
% 74.84/11.06 | | | | | | | | REDUCE: (1447), (1481) imply:
% 74.84/11.06 | | | | | | | | (1484) lazy_impl(true, all_354_0) = all_354_2
% 74.84/11.06 | | | | | | | |
% 74.84/11.06 | | | | | | | | BETA: splitting (1440) gives:
% 74.84/11.06 | | | | | | | |
% 74.84/11.06 | | | | | | | | Case 1:
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | (1485) all_350_1 = 0
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | COMBINE_EQS: (1468), (1485) imply:
% 74.84/11.06 | | | | | | | | | (1486) all_91_1 = 0
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | SIMP: (1486) implies:
% 74.84/11.06 | | | | | | | | | (1487) all_91_1 = 0
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | REDUCE: (1164), (1487) imply:
% 74.84/11.06 | | | | | | | | | (1488) $false
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | CLOSE: (1488) is inconsistent.
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | Case 2:
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | (1489) all_350_0 = all_290_0
% 74.84/11.06 | | | | | | | | | (1490) ~ (all_350_1 = 0)
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | COMBINE_EQS: (1470), (1489) imply:
% 74.84/11.06 | | | | | | | | | (1491) all_290_0 = err
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | SIMP: (1491) implies:
% 74.84/11.06 | | | | | | | | | (1492) all_290_0 = err
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | REDUCE: (1380), (1492) imply:
% 74.84/11.06 | | | | | | | | | (1493) lazy_impl(true, err) = all_290_2
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | REDUCE: (1446), (1492) imply:
% 74.84/11.06 | | | | | | | | | (1494) impl(err, all_42_2) = all_354_0
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | REDUCE: (1219), (1492) imply:
% 74.84/11.06 | | | | | | | | | (1495) impl(err, all_42_2) = err
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | GROUND_INST: instantiating (47) with err, all_354_0, all_42_2,
% 74.84/11.06 | | | | | | | | | err, simplifying with (1494), (1495) gives:
% 74.84/11.06 | | | | | | | | | (1496) all_354_0 = err
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | GROUND_INST: instantiating (48) with err, all_290_2, err, true,
% 74.84/11.06 | | | | | | | | | simplifying with (125), (1493) gives:
% 74.84/11.06 | | | | | | | | | (1497) all_290_2 = err
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | REDUCE: (1484), (1496) imply:
% 74.84/11.06 | | | | | | | | | (1498) lazy_impl(true, err) = all_354_2
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | REDUCE: (1463), (1497) imply:
% 74.84/11.06 | | | | | | | | | (1499) impl(err, all_42_2) = all_372_0
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | GROUND_INST: instantiating (47) with err, all_372_0, all_42_2,
% 74.84/11.06 | | | | | | | | | err, simplifying with (1495), (1499) gives:
% 74.84/11.06 | | | | | | | | | (1500) all_372_0 = err
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | GROUND_INST: instantiating (48) with err, all_354_2, err, true,
% 74.84/11.06 | | | | | | | | | simplifying with (125), (1498) gives:
% 74.84/11.06 | | | | | | | | | (1501) all_354_2 = err
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | REDUCE: (1483), (1500) imply:
% 74.84/11.06 | | | | | | | | | (1502) lazy_impl(true, err) = all_372_2
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | GROUND_INST: instantiating (48) with err, all_372_2, err, true,
% 74.84/11.06 | | | | | | | | | simplifying with (125), (1502) gives:
% 74.84/11.06 | | | | | | | | | (1503) all_372_2 = err
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | GROUND_INST: instantiating (10) with err, false2, all_336_0,
% 74.84/11.06 | | | | | | | | | simplifying with (11), (71), (1467) gives:
% 74.84/11.06 | | | | | | | | | (1504) all_336_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 74.84/11.06 | | | | | | | | | [v2: any] : ? [v3: any] : (d(false2) = v1 & d(err)
% 74.84/11.06 | | | | | | | | | = v0 & bool(false2) = v3 & bool(err) = v2 & ( ~
% 74.84/11.06 | | | | | | | | | (v1 = 0) | (v0 = 0 & ( ~ (v3 = 0) | v2 = 0))))
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | GROUND_INST: instantiating (26) with all_284_0, all_284_2,
% 74.84/11.06 | | | | | | | | | simplifying with (1423), (1427) gives:
% 74.84/11.06 | | | | | | | | | (1505) lazy_and1(true, all_284_0) = all_284_2 &
% 74.84/11.06 | | | | | | | | | $i(all_284_2)
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | ALPHA: (1505) implies:
% 74.84/11.06 | | | | | | | | | (1506) $i(all_284_2)
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | GROUND_INST: instantiating (26) with all_312_0, all_312_2,
% 74.84/11.06 | | | | | | | | | simplifying with (1419), (1432) gives:
% 74.84/11.06 | | | | | | | | | (1507) lazy_and1(true, all_312_0) = all_312_2 &
% 74.84/11.06 | | | | | | | | | $i(all_312_2)
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | ALPHA: (1507) implies:
% 74.84/11.06 | | | | | | | | | (1508) $i(all_312_2)
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | GROUND_INST: instantiating (impl_axiom2) with all_284_2,
% 74.84/11.06 | | | | | | | | | false2, all_362_0, simplifying with (71), (1453),
% 74.84/11.06 | | | | | | | | | (1506) gives:
% 74.84/11.06 | | | | | | | | | (1509) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 74.84/11.06 | | | | | | | | | (phi(false2) = v2 & bool(all_284_2) = v0 &
% 74.84/11.06 | | | | | | | | | bool(false2) = v1 & $i(v2) & ( ~ (v0 = 0) | v2 =
% 74.84/11.06 | | | | | | | | | all_362_0 | v1 = 0))
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | GROUND_INST: instantiating (impl_axiom2) with all_284_0,
% 74.84/11.06 | | | | | | | | | false2, all_366_0, simplifying with (71), (1423),
% 74.84/11.06 | | | | | | | | | (1455) gives:
% 74.84/11.06 | | | | | | | | | (1510) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 74.84/11.06 | | | | | | | | | (phi(false2) = v2 & bool(all_284_0) = v0 &
% 74.84/11.06 | | | | | | | | | bool(false2) = v1 & $i(v2) & ( ~ (v0 = 0) | v2 =
% 74.84/11.06 | | | | | | | | | all_366_0 | v1 = 0))
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | GROUND_INST: instantiating (impl_axiom2) with all_312_2,
% 74.84/11.06 | | | | | | | | | false2, all_356_0, simplifying with (71), (1449),
% 74.84/11.06 | | | | | | | | | (1508) gives:
% 74.84/11.06 | | | | | | | | | (1511) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 74.84/11.06 | | | | | | | | | (phi(false2) = v2 & bool(all_312_2) = v0 &
% 74.84/11.06 | | | | | | | | | bool(false2) = v1 & $i(v2) & ( ~ (v0 = 0) | v2 =
% 74.84/11.06 | | | | | | | | | all_356_0 | v1 = 0))
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | GROUND_INST: instantiating (impl_axiom2) with all_312_0,
% 74.84/11.06 | | | | | | | | | false2, all_370_0, simplifying with (71), (1419),
% 74.84/11.06 | | | | | | | | | (1459) gives:
% 74.84/11.06 | | | | | | | | | (1512) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 74.84/11.06 | | | | | | | | | (phi(false2) = v2 & bool(all_312_0) = v0 &
% 74.84/11.06 | | | | | | | | | bool(false2) = v1 & $i(v2) & ( ~ (v0 = 0) | v2 =
% 74.84/11.06 | | | | | | | | | all_370_0 | v1 = 0))
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | DELTA: instantiating (1511) with fresh symbols all_484_0,
% 74.84/11.06 | | | | | | | | | all_484_1, all_484_2 gives:
% 74.84/11.06 | | | | | | | | | (1513) phi(false2) = all_484_0 & bool(all_312_2) =
% 74.84/11.06 | | | | | | | | | all_484_2 & bool(false2) = all_484_1 & $i(all_484_0)
% 74.84/11.06 | | | | | | | | | & ( ~ (all_484_2 = 0) | all_484_0 = all_356_0 |
% 74.84/11.06 | | | | | | | | | all_484_1 = 0)
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | ALPHA: (1513) implies:
% 74.84/11.06 | | | | | | | | | (1514) bool(false2) = all_484_1
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | DELTA: instantiating (1512) with fresh symbols all_486_0,
% 74.84/11.06 | | | | | | | | | all_486_1, all_486_2 gives:
% 74.84/11.06 | | | | | | | | | (1515) phi(false2) = all_486_0 & bool(all_312_0) =
% 74.84/11.06 | | | | | | | | | all_486_2 & bool(false2) = all_486_1 & $i(all_486_0)
% 74.84/11.06 | | | | | | | | | & ( ~ (all_486_2 = 0) | all_486_0 = all_370_0 |
% 74.84/11.06 | | | | | | | | | all_486_1 = 0)
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | ALPHA: (1515) implies:
% 74.84/11.06 | | | | | | | | | (1516) bool(false2) = all_486_1
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | DELTA: instantiating (1509) with fresh symbols all_492_0,
% 74.84/11.06 | | | | | | | | | all_492_1, all_492_2 gives:
% 74.84/11.06 | | | | | | | | | (1517) phi(false2) = all_492_0 & bool(all_284_2) =
% 74.84/11.06 | | | | | | | | | all_492_2 & bool(false2) = all_492_1 & $i(all_492_0)
% 74.84/11.06 | | | | | | | | | & ( ~ (all_492_2 = 0) | all_492_0 = all_362_0 |
% 74.84/11.06 | | | | | | | | | all_492_1 = 0)
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | ALPHA: (1517) implies:
% 74.84/11.06 | | | | | | | | | (1518) bool(false2) = all_492_1
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | DELTA: instantiating (1510) with fresh symbols all_506_0,
% 74.84/11.06 | | | | | | | | | all_506_1, all_506_2 gives:
% 74.84/11.06 | | | | | | | | | (1519) phi(false2) = all_506_0 & bool(all_284_0) =
% 74.84/11.06 | | | | | | | | | all_506_2 & bool(false2) = all_506_1 & $i(all_506_0)
% 74.84/11.06 | | | | | | | | | & ( ~ (all_506_2 = 0) | all_506_0 = all_366_0 |
% 74.84/11.06 | | | | | | | | | all_506_1 = 0)
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | ALPHA: (1519) implies:
% 74.84/11.06 | | | | | | | | | (1520) bool(false2) = all_506_1
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | BETA: splitting (1504) gives:
% 74.84/11.06 | | | | | | | | |
% 74.84/11.06 | | | | | | | | | Case 1:
% 74.84/11.06 | | | | | | | | | |
% 74.84/11.06 | | | | | | | | | | (1521) all_336_0 = 0
% 74.84/11.06 | | | | | | | | | |
% 74.84/11.06 | | | | | | | | | | REDUCE: (1435), (1521) imply:
% 74.84/11.06 | | | | | | | | | | (1522) $false
% 74.84/11.06 | | | | | | | | | |
% 74.84/11.06 | | | | | | | | | | CLOSE: (1522) is inconsistent.
% 74.84/11.06 | | | | | | | | | |
% 74.84/11.06 | | | | | | | | | Case 2:
% 74.84/11.06 | | | | | | | | | |
% 74.84/11.06 | | | | | | | | | | (1523) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 74.84/11.06 | | | | | | | | | | [v3: any] : (d(false2) = v1 & d(err) = v0 &
% 74.84/11.06 | | | | | | | | | | bool(false2) = v3 & bool(err) = v2 & ( ~ (v1 =
% 74.84/11.06 | | | | | | | | | | 0) | (v0 = 0 & ( ~ (v3 = 0) | v2 = 0))))
% 74.84/11.06 | | | | | | | | | |
% 74.84/11.06 | | | | | | | | | | DELTA: instantiating (1523) with fresh symbols all_528_0,
% 74.84/11.06 | | | | | | | | | | all_528_1, all_528_2, all_528_3 gives:
% 74.84/11.06 | | | | | | | | | | (1524) d(false2) = all_528_2 & d(err) = all_528_3 &
% 74.84/11.06 | | | | | | | | | | bool(false2) = all_528_0 & bool(err) = all_528_1 &
% 74.84/11.06 | | | | | | | | | | ( ~ (all_528_2 = 0) | (all_528_3 = 0 & ( ~
% 74.84/11.06 | | | | | | | | | | (all_528_0 = 0) | all_528_1 = 0)))
% 74.84/11.06 | | | | | | | | | |
% 74.84/11.06 | | | | | | | | | | ALPHA: (1524) implies:
% 74.84/11.06 | | | | | | | | | | (1525) bool(err) = all_528_1
% 74.84/11.06 | | | | | | | | | | (1526) bool(false2) = all_528_0
% 74.84/11.06 | | | | | | | | | | (1527) d(false2) = all_528_2
% 74.84/11.06 | | | | | | | | | | (1528) ~ (all_528_2 = 0) | (all_528_3 = 0 & ( ~
% 74.84/11.06 | | | | | | | | | | (all_528_0 = 0) | all_528_1 = 0))
% 74.84/11.06 | | | | | | | | | |
% 74.84/11.06 | | | | | | | | | | GROUND_INST: instantiating (40) with all_91_1, all_528_1, err,
% 74.84/11.06 | | | | | | | | | | simplifying with (160), (1525) gives:
% 74.84/11.06 | | | | | | | | | | (1529) all_528_1 = all_91_1
% 74.84/11.06 | | | | | | | | | |
% 74.84/11.06 | | | | | | | | | | GROUND_INST: instantiating (40) with 0, all_486_1, false2,
% 74.84/11.06 | | | | | | | | | | simplifying with (573), (1516) gives:
% 74.84/11.06 | | | | | | | | | | (1530) all_486_1 = 0
% 74.84/11.06 | | | | | | | | | |
% 74.84/11.06 | | | | | | | | | | GROUND_INST: instantiating (40) with all_486_1, all_492_1,
% 74.84/11.06 | | | | | | | | | | false2, simplifying with (1516), (1518) gives:
% 74.84/11.06 | | | | | | | | | | (1531) all_492_1 = all_486_1
% 74.84/11.06 | | | | | | | | | |
% 74.84/11.06 | | | | | | | | | | GROUND_INST: instantiating (40) with all_492_1, all_506_1,
% 74.84/11.06 | | | | | | | | | | false2, simplifying with (1518), (1520) gives:
% 74.84/11.06 | | | | | | | | | | (1532) all_506_1 = all_492_1
% 74.84/11.06 | | | | | | | | | |
% 74.84/11.06 | | | | | | | | | | GROUND_INST: instantiating (40) with all_506_1, all_528_0,
% 74.84/11.06 | | | | | | | | | | false2, simplifying with (1520), (1526) gives:
% 74.84/11.06 | | | | | | | | | | (1533) all_528_0 = all_506_1
% 74.84/11.06 | | | | | | | | | |
% 74.84/11.06 | | | | | | | | | | GROUND_INST: instantiating (40) with all_484_1, all_528_0,
% 74.84/11.06 | | | | | | | | | | false2, simplifying with (1514), (1526) gives:
% 74.84/11.06 | | | | | | | | | | (1534) all_528_0 = all_484_1
% 74.84/11.06 | | | | | | | | | |
% 74.84/11.06 | | | | | | | | | | GROUND_INST: instantiating (41) with 0, all_528_2, false2,
% 74.84/11.06 | | | | | | | | | | simplifying with (572), (1527) gives:
% 74.84/11.06 | | | | | | | | | | (1535) all_528_2 = 0
% 74.84/11.06 | | | | | | | | | |
% 74.84/11.06 | | | | | | | | | | COMBINE_EQS: (1533), (1534) imply:
% 74.84/11.06 | | | | | | | | | | (1536) all_506_1 = all_484_1
% 74.84/11.06 | | | | | | | | | |
% 74.84/11.06 | | | | | | | | | | SIMP: (1536) implies:
% 74.84/11.06 | | | | | | | | | | (1537) all_506_1 = all_484_1
% 74.84/11.06 | | | | | | | | | |
% 74.84/11.06 | | | | | | | | | | COMBINE_EQS: (1532), (1537) imply:
% 74.84/11.06 | | | | | | | | | | (1538) all_492_1 = all_484_1
% 74.84/11.06 | | | | | | | | | |
% 74.84/11.06 | | | | | | | | | | SIMP: (1538) implies:
% 74.84/11.06 | | | | | | | | | | (1539) all_492_1 = all_484_1
% 74.84/11.06 | | | | | | | | | |
% 74.84/11.06 | | | | | | | | | | COMBINE_EQS: (1531), (1539) imply:
% 74.84/11.06 | | | | | | | | | | (1540) all_486_1 = all_484_1
% 74.84/11.06 | | | | | | | | | |
% 74.84/11.06 | | | | | | | | | | SIMP: (1540) implies:
% 74.84/11.07 | | | | | | | | | | (1541) all_486_1 = all_484_1
% 74.84/11.07 | | | | | | | | | |
% 74.84/11.07 | | | | | | | | | | COMBINE_EQS: (1530), (1541) imply:
% 74.84/11.07 | | | | | | | | | | (1542) all_484_1 = 0
% 74.84/11.07 | | | | | | | | | |
% 74.84/11.07 | | | | | | | | | | SIMP: (1542) implies:
% 74.84/11.07 | | | | | | | | | | (1543) all_484_1 = 0
% 74.84/11.07 | | | | | | | | | |
% 74.84/11.07 | | | | | | | | | | COMBINE_EQS: (1534), (1543) imply:
% 74.84/11.07 | | | | | | | | | | (1544) all_528_0 = 0
% 74.84/11.07 | | | | | | | | | |
% 74.84/11.07 | | | | | | | | | | BETA: splitting (1528) gives:
% 74.84/11.07 | | | | | | | | | |
% 74.84/11.07 | | | | | | | | | | Case 1:
% 74.84/11.07 | | | | | | | | | | |
% 74.84/11.07 | | | | | | | | | | | (1545) ~ (all_528_2 = 0)
% 74.84/11.07 | | | | | | | | | | |
% 74.84/11.07 | | | | | | | | | | | REDUCE: (1535), (1545) imply:
% 74.84/11.07 | | | | | | | | | | | (1546) $false
% 74.84/11.07 | | | | | | | | | | |
% 74.84/11.07 | | | | | | | | | | | CLOSE: (1546) is inconsistent.
% 74.84/11.07 | | | | | | | | | | |
% 74.84/11.07 | | | | | | | | | | Case 2:
% 74.84/11.07 | | | | | | | | | | |
% 74.84/11.07 | | | | | | | | | | | (1547) all_528_3 = 0 & ( ~ (all_528_0 = 0) | all_528_1 =
% 74.84/11.07 | | | | | | | | | | | 0)
% 74.84/11.07 | | | | | | | | | | |
% 74.84/11.07 | | | | | | | | | | | ALPHA: (1547) implies:
% 74.84/11.07 | | | | | | | | | | | (1548) ~ (all_528_0 = 0) | all_528_1 = 0
% 74.84/11.07 | | | | | | | | | | |
% 74.84/11.07 | | | | | | | | | | | BETA: splitting (1548) gives:
% 74.84/11.07 | | | | | | | | | | |
% 74.84/11.07 | | | | | | | | | | | Case 1:
% 74.84/11.07 | | | | | | | | | | | |
% 74.84/11.07 | | | | | | | | | | | | (1549) ~ (all_528_0 = 0)
% 74.84/11.07 | | | | | | | | | | | |
% 74.84/11.07 | | | | | | | | | | | | REDUCE: (1544), (1549) imply:
% 74.84/11.07 | | | | | | | | | | | | (1550) $false
% 74.84/11.07 | | | | | | | | | | | |
% 74.84/11.07 | | | | | | | | | | | | CLOSE: (1550) is inconsistent.
% 74.84/11.07 | | | | | | | | | | | |
% 74.84/11.07 | | | | | | | | | | | Case 2:
% 74.84/11.07 | | | | | | | | | | | |
% 74.84/11.07 | | | | | | | | | | | | (1551) all_528_1 = 0
% 74.84/11.07 | | | | | | | | | | | |
% 74.84/11.07 | | | | | | | | | | | | COMBINE_EQS: (1529), (1551) imply:
% 74.84/11.07 | | | | | | | | | | | | (1552) all_91_1 = 0
% 74.84/11.07 | | | | | | | | | | | |
% 74.84/11.07 | | | | | | | | | | | | REDUCE: (1164), (1552) imply:
% 74.84/11.07 | | | | | | | | | | | | (1553) $false
% 74.84/11.07 | | | | | | | | | | | |
% 74.84/11.07 | | | | | | | | | | | | CLOSE: (1553) is inconsistent.
% 74.84/11.07 | | | | | | | | | | | |
% 74.84/11.07 | | | | | | | | | | | End of split
% 74.84/11.07 | | | | | | | | | | |
% 74.84/11.07 | | | | | | | | | | End of split
% 74.84/11.07 | | | | | | | | | |
% 74.84/11.07 | | | | | | | | | End of split
% 74.84/11.07 | | | | | | | | |
% 74.84/11.07 | | | | | | | | End of split
% 74.84/11.07 | | | | | | | |
% 74.84/11.08 | | | | | | | End of split
% 74.84/11.08 | | | | | | |
% 74.84/11.08 | | | | | | End of split
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | Case 2:
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | (1554) ? [v0: int] : ( ~ (v0 = 0) & bool(all_44_1) = v0)
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | DELTA: instantiating (1554) with fresh symbol all_245_0 gives:
% 74.84/11.08 | | | | | | (1555) ~ (all_245_0 = 0) & bool(all_44_1) = all_245_0
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | REF_CLOSE: (40), (579), (1555) are inconsistent by sub-proof #6.
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | End of split
% 74.84/11.08 | | | | |
% 74.84/11.08 | | | | Case 2:
% 74.84/11.08 | | | | |
% 74.84/11.08 | | | | | (1556) all_55_0 = false
% 74.84/11.08 | | | | |
% 74.84/11.08 | | | | | REDUCE: (570), (1556) imply:
% 74.84/11.08 | | | | | (1557) lazy_impl(false, all_44_1) = false2
% 74.84/11.08 | | | | |
% 74.84/11.08 | | | | | BETA: splitting (130) gives:
% 74.84/11.08 | | | | |
% 74.84/11.08 | | | | | Case 1:
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | (1558) all_55_0 = true
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | COMBINE_EQS: (1556), (1558) imply:
% 74.84/11.08 | | | | | | (1559) true = false
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | REDUCE: (185), (1559) imply:
% 74.84/11.08 | | | | | | (1560) $false
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | CLOSE: (1560) is inconsistent.
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | Case 2:
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | GROUND_INST: instantiating (22) with all_44_1, false2, simplifying
% 74.84/11.08 | | | | | | with (58), (1557) gives:
% 74.84/11.08 | | | | | | (1561) false2 = true
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | REDUCE: (571), (1561) imply:
% 74.84/11.08 | | | | | | (1562) forallprefers(false, true) = all_178_0
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | REF_CLOSE: (9), (537), (1562) are inconsistent by sub-proof #8.
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | End of split
% 74.84/11.08 | | | | |
% 74.84/11.08 | | | | End of split
% 74.84/11.08 | | | |
% 74.84/11.08 | | | Case 2:
% 74.84/11.08 | | | |
% 74.84/11.08 | | | | (1563) false2 = err & ~ (all_63_0 = 0)
% 74.84/11.08 | | | |
% 74.84/11.08 | | | | ALPHA: (1563) implies:
% 74.84/11.08 | | | | (1564) false2 = err
% 74.84/11.08 | | | |
% 74.84/11.08 | | | | REDUCE: (192), (1564) imply:
% 74.84/11.08 | | | | (1565) lazy_and1(true, err) = all_95_0
% 74.84/11.08 | | | |
% 74.84/11.08 | | | | REDUCE: (72), (1564) imply:
% 74.84/11.08 | | | | (1566) lazy_impl(true, all_44_0) = err
% 74.84/11.08 | | | |
% 74.84/11.08 | | | | REDUCE: (194), (1564) imply:
% 74.84/11.08 | | | | (1567) lazy_impl(true, err) = all_95_0
% 74.84/11.08 | | | |
% 74.84/11.08 | | | | REDUCE: (79), (1564) imply:
% 74.84/11.08 | | | | (1568) impl(all_42_2, err) = all_42_0
% 74.84/11.08 | | | |
% 74.84/11.08 | | | | REDUCE: (168), (1564) imply:
% 74.84/11.08 | | | | (1569) phi(err) = all_95_0
% 74.84/11.08 | | | |
% 74.84/11.08 | | | | REDUCE: (166), (1564) imply:
% 74.84/11.08 | | | | (1570) bool(err) = all_95_1
% 74.84/11.08 | | | |
% 74.84/11.08 | | | | GROUND_INST: instantiating (40) with all_91_1, all_95_1, err,
% 74.84/11.08 | | | | simplifying with (160), (1570) gives:
% 74.84/11.08 | | | | (1571) all_95_1 = all_91_1
% 74.84/11.08 | | | |
% 74.84/11.08 | | | | GROUND_INST: instantiating (49) with err, all_95_0, err, true,
% 74.84/11.08 | | | | simplifying with (124), (1565) gives:
% 74.84/11.08 | | | | (1572) all_95_0 = err
% 74.84/11.08 | | | |
% 74.84/11.08 | | | | BETA: splitting (131) gives:
% 74.84/11.08 | | | |
% 74.84/11.08 | | | | Case 1:
% 74.84/11.08 | | | | |
% 74.84/11.08 | | | | | (1573) bool(all_44_1) = 0
% 74.84/11.08 | | | | |
% 74.84/11.08 | | | | | BETA: splitting (130) gives:
% 74.84/11.08 | | | | |
% 74.84/11.08 | | | | | Case 1:
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | (1574) all_55_0 = true
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | REDUCE: (269), (1574) imply:
% 74.84/11.08 | | | | | | (1575) not1(true) = all_135_0
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | REDUCE: (198), (1574) imply:
% 74.84/11.08 | | | | | | (1576) lazy_and1(true, true) = all_87_0
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | REDUCE: (83), (1574) imply:
% 74.84/11.08 | | | | | | (1577) lazy_impl(true, all_44_1) = all_44_0
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | REDUCE: (200), (1574) imply:
% 74.84/11.08 | | | | | | (1578) lazy_impl(true, true) = all_87_0
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | REDUCE: (82), (1574) imply:
% 74.84/11.08 | | | | | | (1579) prop(all_44_1) = true
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | GROUND_INST: instantiating (49) with true, all_87_0, true, true,
% 74.84/11.08 | | | | | | simplifying with (121), (1576) gives:
% 74.84/11.08 | | | | | | (1580) all_87_0 = true
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | GROUND_INST: instantiating (45) with false, all_135_0, true,
% 74.84/11.08 | | | | | | simplifying with (37), (1575) gives:
% 74.84/11.08 | | | | | | (1581) all_135_0 = false
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | GROUND_INST: instantiating (14) with all_42_2, simplifying with
% 74.84/11.08 | | | | | | (54), (563) gives:
% 74.84/11.08 | | | | | | (1582) prop(all_42_2) = true
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | GROUND_INST: instantiating (17) with all_42_2, simplifying with
% 74.84/11.08 | | | | | | (54), (563) gives:
% 74.84/11.08 | | | | | | (1583) ? [v0: $i] : ( ~ (v0 = false) & prop(all_42_2) = v0 &
% 74.84/11.08 | | | | | | $i(v0))
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | GROUND_INST: instantiating (3) with all_44_1, simplifying with (58),
% 74.84/11.08 | | | | | | (1573) gives:
% 74.84/11.08 | | | | | | (1584) all_44_1 = true | all_44_1 = false
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | GROUND_INST: instantiating (21) with all_44_1, simplifying with
% 74.84/11.08 | | | | | | (58), (1573) gives:
% 74.84/11.08 | | | | | | (1585) impl(true, all_44_1) = all_44_1
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | GROUND_INST: instantiating (20) with all_44_1, simplifying with
% 74.84/11.08 | | | | | | (58), (1573) gives:
% 74.84/11.08 | | | | | | (1586) impl(false, all_44_1) = true
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | GROUND_INST: instantiating (21) with all_44_0, simplifying with
% 74.84/11.08 | | | | | | (59), (560) gives:
% 74.84/11.08 | | | | | | (1587) impl(true, all_44_0) = all_44_0
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | GROUND_INST: instantiating (20) with all_44_0, simplifying with
% 74.84/11.08 | | | | | | (59), (560) gives:
% 74.84/11.08 | | | | | | (1588) impl(false, all_44_0) = true
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | GROUND_INST: instantiating (14) with all_44_0, simplifying with
% 74.84/11.08 | | | | | | (59), (560) gives:
% 74.84/11.08 | | | | | | (1589) prop(all_44_0) = true
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | GROUND_INST: instantiating (17) with all_44_0, simplifying with
% 74.84/11.08 | | | | | | (59), (560) gives:
% 74.84/11.08 | | | | | | (1590) ? [v0: $i] : ( ~ (v0 = false) & prop(all_44_0) = v0 &
% 74.84/11.08 | | | | | | $i(v0))
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | GROUND_INST: instantiating (24) with all_44_1, all_44_0, simplifying
% 74.84/11.08 | | | | | | with (58), (1577) gives:
% 74.84/11.08 | | | | | | (1591) phi(all_44_1) = all_44_0 & $i(all_44_0)
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | ALPHA: (1591) implies:
% 74.84/11.08 | | | | | | (1592) phi(all_44_1) = all_44_0
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | DELTA: instantiating (1583) with fresh symbol all_238_0 gives:
% 74.84/11.08 | | | | | | (1593) ~ (all_238_0 = false) & prop(all_42_2) = all_238_0 &
% 74.84/11.08 | | | | | | $i(all_238_0)
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | ALPHA: (1593) implies:
% 74.84/11.08 | | | | | | (1594) $i(all_238_0)
% 74.84/11.08 | | | | | | (1595) prop(all_42_2) = all_238_0
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | DELTA: instantiating (1590) with fresh symbol all_240_0 gives:
% 74.84/11.08 | | | | | | (1596) ~ (all_240_0 = false) & prop(all_44_0) = all_240_0 &
% 74.84/11.08 | | | | | | $i(all_240_0)
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | ALPHA: (1596) implies:
% 74.84/11.08 | | | | | | (1597) prop(all_44_0) = all_240_0
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | GROUND_INST: instantiating (43) with true, all_238_0, all_42_2,
% 74.84/11.08 | | | | | | simplifying with (1582), (1595) gives:
% 74.84/11.08 | | | | | | (1598) all_238_0 = true
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | GROUND_INST: instantiating (43) with true, all_240_0, all_44_0,
% 74.84/11.08 | | | | | | simplifying with (1589), (1597) gives:
% 74.84/11.08 | | | | | | (1599) all_240_0 = true
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | BETA: splitting (162) gives:
% 74.84/11.08 | | | | | |
% 74.84/11.08 | | | | | | Case 1:
% 74.84/11.08 | | | | | | |
% 74.84/11.08 | | | | | | | (1600) all_91_1 = 0
% 74.84/11.08 | | | | | | |
% 74.84/11.08 | | | | | | | REDUCE: (160), (1600) imply:
% 74.84/11.08 | | | | | | | (1601) bool(err) = 0
% 74.84/11.08 | | | | | | |
% 74.84/11.08 | | | | | | | REF_CLOSE: (3), (4), (5), (11), (1601) are inconsistent by
% 74.84/11.08 | | | | | | | sub-proof #7.
% 74.84/11.08 | | | | | | |
% 74.84/11.08 | | | | | | Case 2:
% 74.84/11.08 | | | | | | |
% 74.84/11.08 | | | | | | | (1602) ~ (all_91_1 = 0)
% 74.84/11.08 | | | | | | |
% 74.84/11.08 | | | | | | | BETA: splitting (169) gives:
% 74.84/11.08 | | | | | | |
% 74.84/11.08 | | | | | | | Case 1:
% 74.84/11.08 | | | | | | | |
% 74.84/11.08 | | | | | | | | (1603) ~ (all_95_2 = 0)
% 74.84/11.08 | | | | | | | |
% 74.84/11.08 | | | | | | | | REDUCE: (562), (1603) imply:
% 74.84/11.08 | | | | | | | | (1604) $false
% 74.84/11.08 | | | | | | | |
% 74.84/11.08 | | | | | | | | CLOSE: (1604) is inconsistent.
% 74.84/11.08 | | | | | | | |
% 74.84/11.08 | | | | | | | Case 2:
% 74.84/11.08 | | | | | | | |
% 74.84/11.08 | | | | | | | | (1605) all_95_0 = all_42_0 | all_95_1 = 0
% 74.84/11.08 | | | | | | | |
% 74.84/11.08 | | | | | | | | BETA: splitting (1605) gives:
% 74.84/11.08 | | | | | | | |
% 74.84/11.08 | | | | | | | | Case 1:
% 74.84/11.08 | | | | | | | | |
% 74.84/11.08 | | | | | | | | | (1606) all_95_1 = 0
% 74.84/11.08 | | | | | | | | |
% 74.84/11.08 | | | | | | | | | COMBINE_EQS: (1571), (1606) imply:
% 74.84/11.08 | | | | | | | | | (1607) all_91_1 = 0
% 74.84/11.08 | | | | | | | | |
% 74.84/11.08 | | | | | | | | | SIMP: (1607) implies:
% 74.84/11.08 | | | | | | | | | (1608) all_91_1 = 0
% 74.84/11.08 | | | | | | | | |
% 74.84/11.08 | | | | | | | | | REDUCE: (1602), (1608) imply:
% 74.84/11.08 | | | | | | | | | (1609) $false
% 74.84/11.08 | | | | | | | | |
% 74.84/11.08 | | | | | | | | | CLOSE: (1609) is inconsistent.
% 74.84/11.08 | | | | | | | | |
% 74.84/11.08 | | | | | | | | Case 2:
% 74.84/11.08 | | | | | | | | |
% 74.84/11.08 | | | | | | | | | (1610) all_95_0 = all_42_0
% 74.84/11.08 | | | | | | | | | (1611) ~ (all_95_1 = 0)
% 74.84/11.08 | | | | | | | | |
% 74.84/11.08 | | | | | | | | | COMBINE_EQS: (1572), (1610) imply:
% 74.84/11.08 | | | | | | | | | (1612) all_42_0 = err
% 74.84/11.08 | | | | | | | | |
% 74.84/11.08 | | | | | | | | | REDUCE: (1568), (1612) imply:
% 74.84/11.08 | | | | | | | | | (1613) impl(all_42_2, err) = err
% 74.84/11.08 | | | | | | | | |
% 74.84/11.08 | | | | | | | | | GROUND_INST: instantiating (26) with all_44_1, all_44_0,
% 74.84/11.08 | | | | | | | | | simplifying with (58), (1592) gives:
% 74.84/11.08 | | | | | | | | | (1614) lazy_and1(true, all_44_1) = all_44_0 & $i(all_44_0)
% 74.84/11.08 | | | | | | | | |
% 74.84/11.08 | | | | | | | | | GROUND_INST: instantiating (29) with all_44_0, true,
% 74.84/11.08 | | | | | | | | | simplifying with (59), (1589) gives:
% 74.84/11.08 | | | | | | | | | (1615) ? [v0: $i] : (f7(all_44_0) = v0 & lazy_impl(true,
% 74.84/11.08 | | | | | | | | | all_44_0) = v0 & $i(v0))
% 74.84/11.08 | | | | | | | | |
% 74.84/11.08 | | | | | | | | | GROUND_INST: instantiating (25) with true, false, all_44_1,
% 74.84/11.08 | | | | | | | | | true, true, simplifying with (35), (36), (58),
% 74.84/11.08 | | | | | | | | | (113), (1586) gives:
% 74.84/11.08 | | | | | | | | | (1616) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(true,
% 74.84/11.08 | | | | | | | | | false, all_44_1) = v0 & lazy_impl(v1, v2) = v0 &
% 74.84/11.08 | | | | | | | | | impl(true, all_44_1) = v2 & prop(all_44_1) = v1 &
% 74.84/11.08 | | | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.84/11.08 | | | | | | | | |
% 74.84/11.08 | | | | | | | | | GROUND_INST: instantiating (25) with false, false, all_44_1,
% 74.84/11.08 | | | | | | | | | true, true, simplifying with (35), (58), (114),
% 74.84/11.08 | | | | | | | | | (1586) gives:
% 74.84/11.09 | | | | | | | | | (1617) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(false,
% 74.84/11.09 | | | | | | | | | false, all_44_1) = v0 & lazy_impl(v1, v2) = v0 &
% 74.84/11.09 | | | | | | | | | impl(true, all_44_1) = v2 & prop(all_44_1) = v1 &
% 74.84/11.09 | | | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | GROUND_INST: instantiating (27) with true, false, all_44_1,
% 74.84/11.09 | | | | | | | | | true, true, simplifying with (35), (36), (58),
% 74.84/11.09 | | | | | | | | | (122), (1586) gives:
% 74.84/11.09 | | | | | | | | | (1618) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true,
% 74.84/11.09 | | | | | | | | | false, all_44_1) = v0 & lazy_impl(v1, v2) = v0 &
% 74.84/11.09 | | | | | | | | | impl(true, all_44_1) = v2 & prop(all_44_1) = v1 &
% 74.84/11.09 | | | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | GROUND_INST: instantiating (25) with true, false, all_44_0,
% 74.84/11.09 | | | | | | | | | true, true, simplifying with (35), (36), (59),
% 74.84/11.09 | | | | | | | | | (113), (1588) gives:
% 74.84/11.09 | | | | | | | | | (1619) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(true,
% 74.84/11.09 | | | | | | | | | false, all_44_0) = v0 & lazy_impl(v1, v2) = v0 &
% 74.84/11.09 | | | | | | | | | impl(true, all_44_0) = v2 & prop(all_44_0) = v1 &
% 74.84/11.09 | | | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | GROUND_INST: instantiating (25) with false, false, all_44_0,
% 74.84/11.09 | | | | | | | | | true, true, simplifying with (35), (59), (114),
% 74.84/11.09 | | | | | | | | | (1588) gives:
% 74.84/11.09 | | | | | | | | | (1620) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(false,
% 74.84/11.09 | | | | | | | | | false, all_44_0) = v0 & lazy_impl(v1, v2) = v0 &
% 74.84/11.09 | | | | | | | | | impl(true, all_44_0) = v2 & prop(all_44_0) = v1 &
% 74.84/11.09 | | | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | GROUND_INST: instantiating (27) with true, false, all_44_0,
% 74.84/11.09 | | | | | | | | | true, true, simplifying with (35), (36), (59),
% 74.84/11.09 | | | | | | | | | (122), (1588) gives:
% 74.84/11.09 | | | | | | | | | (1621) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true,
% 74.84/11.09 | | | | | | | | | false, all_44_0) = v0 & lazy_impl(v1, v2) = v0 &
% 74.84/11.09 | | | | | | | | | impl(true, all_44_0) = v2 & prop(all_44_0) = v1 &
% 74.84/11.09 | | | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | GROUND_INST: instantiating (28) with false, false, all_44_1,
% 74.84/11.09 | | | | | | | | | true, true, all_44_1, all_44_1, simplifying with
% 74.84/11.09 | | | | | | | | | (35), (58), (1585), (1586) gives:
% 74.84/11.09 | | | | | | | | | (1622) ? [v0: $i] : ? [v1: $i] : (f3(false, false,
% 74.84/11.09 | | | | | | | | | all_44_1) = v0 & lazy_impl(v1, all_44_1) = v0 &
% 74.84/11.09 | | | | | | | | | prop(all_44_1) = v1 & $i(v1) & $i(v0))
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | GROUND_INST: instantiating (25) with true, true, all_44_1,
% 74.84/11.09 | | | | | | | | | all_44_1, all_44_1, simplifying with (36), (58),
% 74.84/11.09 | | | | | | | | | (1585) gives:
% 74.84/11.09 | | | | | | | | | (1623) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(true,
% 74.84/11.09 | | | | | | | | | true, all_44_1) = v0 & lazy_impl(v1, v2) = v0 &
% 74.84/11.09 | | | | | | | | | impl(all_44_1, all_44_1) = v2 & prop(all_44_1) =
% 74.84/11.09 | | | | | | | | | v1 & $i(v2) & $i(v1) & $i(v0))
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | GROUND_INST: instantiating (25) with false, true, all_44_1,
% 74.84/11.09 | | | | | | | | | all_44_1, true, simplifying with (35), (36), (58),
% 74.84/11.09 | | | | | | | | | (1585), (1586) gives:
% 74.84/11.09 | | | | | | | | | (1624) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(false,
% 74.84/11.09 | | | | | | | | | true, all_44_1) = v0 & lazy_impl(v1, v2) = v0 &
% 74.84/11.09 | | | | | | | | | impl(true, all_44_1) = v2 & prop(all_44_1) = v1 &
% 74.84/11.09 | | | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | GROUND_INST: instantiating (27) with true, true, all_44_1,
% 74.84/11.09 | | | | | | | | | all_44_1, all_44_0, simplifying with (36), (58),
% 74.84/11.09 | | | | | | | | | (1577), (1585) gives:
% 74.84/11.09 | | | | | | | | | (1625) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true,
% 74.84/11.09 | | | | | | | | | true, all_44_1) = v0 & lazy_impl(v1, v2) = v0 &
% 74.84/11.09 | | | | | | | | | impl(all_44_0, all_44_1) = v2 & prop(all_44_1) =
% 74.84/11.09 | | | | | | | | | v1 & $i(v2) & $i(v1) & $i(v0))
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | GROUND_INST: instantiating (28) with false, false, all_44_0,
% 74.84/11.09 | | | | | | | | | true, true, all_44_0, all_44_0, simplifying with
% 74.84/11.09 | | | | | | | | | (35), (59), (1587), (1588) gives:
% 74.84/11.09 | | | | | | | | | (1626) ? [v0: $i] : ? [v1: $i] : (f3(false, false,
% 74.84/11.09 | | | | | | | | | all_44_0) = v0 & lazy_impl(v1, all_44_0) = v0 &
% 74.84/11.09 | | | | | | | | | prop(all_44_0) = v1 & $i(v1) & $i(v0))
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | GROUND_INST: instantiating (25) with true, true, all_44_0,
% 74.84/11.09 | | | | | | | | | all_44_0, all_44_0, simplifying with (36), (59),
% 74.84/11.09 | | | | | | | | | (1587) gives:
% 74.84/11.09 | | | | | | | | | (1627) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(true,
% 74.84/11.09 | | | | | | | | | true, all_44_0) = v0 & lazy_impl(v1, v2) = v0 &
% 74.84/11.09 | | | | | | | | | impl(all_44_0, all_44_0) = v2 & prop(all_44_0) =
% 74.84/11.09 | | | | | | | | | v1 & $i(v2) & $i(v1) & $i(v0))
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | GROUND_INST: instantiating (25) with false, true, all_44_0,
% 74.84/11.09 | | | | | | | | | all_44_0, true, simplifying with (35), (36), (59),
% 74.84/11.09 | | | | | | | | | (1587), (1588) gives:
% 74.84/11.09 | | | | | | | | | (1628) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(false,
% 74.84/11.09 | | | | | | | | | true, all_44_0) = v0 & lazy_impl(v1, v2) = v0 &
% 74.84/11.09 | | | | | | | | | impl(true, all_44_0) = v2 & prop(all_44_0) = v1 &
% 74.84/11.09 | | | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | GROUND_INST: instantiating (27) with true, true, all_44_0,
% 74.84/11.09 | | | | | | | | | all_44_0, err, simplifying with (36), (59),
% 74.84/11.09 | | | | | | | | | (1566), (1587) gives:
% 74.84/11.09 | | | | | | | | | (1629) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true,
% 74.84/11.09 | | | | | | | | | true, all_44_0) = v0 & lazy_impl(v1, v2) = v0 &
% 74.84/11.09 | | | | | | | | | impl(err, all_44_0) = v2 & prop(all_44_0) = v1 &
% 74.84/11.09 | | | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | GROUND_INST: instantiating (25) with all_42_2, all_42_2, err,
% 74.84/11.09 | | | | | | | | | err, err, simplifying with (11), (54), (1613)
% 74.84/11.09 | | | | | | | | | gives:
% 74.84/11.09 | | | | | | | | | (1630) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 74.84/11.09 | | | | | | | | | (f1(all_42_2, all_42_2, err) = v0 & lazy_impl(v1,
% 74.84/11.09 | | | | | | | | | v2) = v0 & impl(err, err) = v2 & prop(err) = v1
% 74.84/11.09 | | | | | | | | | & $i(v2) & $i(v1) & $i(v0))
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | GROUND_INST: instantiating (27) with true, all_42_2, err, err,
% 74.84/11.09 | | | | | | | | | err, simplifying with (11), (36), (54), (125),
% 74.84/11.09 | | | | | | | | | (1613) gives:
% 74.84/11.09 | | | | | | | | | (1631) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true,
% 74.84/11.09 | | | | | | | | | all_42_2, err) = v0 & lazy_impl(v1, v2) = v0 &
% 74.84/11.09 | | | | | | | | | impl(err, err) = v2 & prop(err) = v1 & $i(v2) &
% 74.84/11.09 | | | | | | | | | $i(v1) & $i(v0))
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | DELTA: instantiating (1615) with fresh symbol all_276_0 gives:
% 74.84/11.09 | | | | | | | | | (1632) f7(all_44_0) = all_276_0 & lazy_impl(true, all_44_0)
% 74.84/11.09 | | | | | | | | | = all_276_0 & $i(all_276_0)
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | ALPHA: (1632) implies:
% 74.84/11.09 | | | | | | | | | (1633) lazy_impl(true, all_44_0) = all_276_0
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | DELTA: instantiating (1626) with fresh symbols all_282_0,
% 74.84/11.09 | | | | | | | | | all_282_1 gives:
% 74.84/11.09 | | | | | | | | | (1634) f3(false, false, all_44_0) = all_282_1 &
% 74.84/11.09 | | | | | | | | | lazy_impl(all_282_0, all_44_0) = all_282_1 &
% 74.84/11.09 | | | | | | | | | prop(all_44_0) = all_282_0 & $i(all_282_0) &
% 74.84/11.09 | | | | | | | | | $i(all_282_1)
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | ALPHA: (1634) implies:
% 74.84/11.09 | | | | | | | | | (1635) $i(all_282_1)
% 74.84/11.09 | | | | | | | | | (1636) $i(all_282_0)
% 74.84/11.09 | | | | | | | | | (1637) prop(all_44_0) = all_282_0
% 74.84/11.09 | | | | | | | | | (1638) lazy_impl(all_282_0, all_44_0) = all_282_1
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | DELTA: instantiating (1622) with fresh symbols all_286_0,
% 74.84/11.09 | | | | | | | | | all_286_1 gives:
% 74.84/11.09 | | | | | | | | | (1639) f3(false, false, all_44_1) = all_286_1 &
% 74.84/11.09 | | | | | | | | | lazy_impl(all_286_0, all_44_1) = all_286_1 &
% 74.84/11.09 | | | | | | | | | prop(all_44_1) = all_286_0 & $i(all_286_0) &
% 74.84/11.09 | | | | | | | | | $i(all_286_1)
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | ALPHA: (1639) implies:
% 74.84/11.09 | | | | | | | | | (1640) $i(all_286_1)
% 74.84/11.09 | | | | | | | | | (1641) prop(all_44_1) = all_286_0
% 74.84/11.09 | | | | | | | | | (1642) lazy_impl(all_286_0, all_44_1) = all_286_1
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | DELTA: instantiating (1625) with fresh symbols all_292_0,
% 74.84/11.09 | | | | | | | | | all_292_1, all_292_2 gives:
% 74.84/11.09 | | | | | | | | | (1643) f2(true, true, all_44_1) = all_292_2 &
% 74.84/11.09 | | | | | | | | | lazy_impl(all_292_1, all_292_0) = all_292_2 &
% 74.84/11.09 | | | | | | | | | impl(all_44_0, all_44_1) = all_292_0 &
% 74.84/11.09 | | | | | | | | | prop(all_44_1) = all_292_1 & $i(all_292_0) &
% 74.84/11.09 | | | | | | | | | $i(all_292_1) & $i(all_292_2)
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | ALPHA: (1643) implies:
% 74.84/11.09 | | | | | | | | | (1644) prop(all_44_1) = all_292_1
% 74.84/11.09 | | | | | | | | | (1645) f2(true, true, all_44_1) = all_292_2
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | DELTA: instantiating (1624) with fresh symbols all_294_0,
% 74.84/11.09 | | | | | | | | | all_294_1, all_294_2 gives:
% 74.84/11.09 | | | | | | | | | (1646) f1(false, true, all_44_1) = all_294_2 &
% 74.84/11.09 | | | | | | | | | lazy_impl(all_294_1, all_294_0) = all_294_2 &
% 74.84/11.09 | | | | | | | | | impl(true, all_44_1) = all_294_0 & prop(all_44_1) =
% 74.84/11.09 | | | | | | | | | all_294_1 & $i(all_294_0) & $i(all_294_1) &
% 74.84/11.09 | | | | | | | | | $i(all_294_2)
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | ALPHA: (1646) implies:
% 74.84/11.09 | | | | | | | | | (1647) $i(all_294_0)
% 74.84/11.09 | | | | | | | | | (1648) prop(all_44_1) = all_294_1
% 74.84/11.09 | | | | | | | | | (1649) impl(true, all_44_1) = all_294_0
% 74.84/11.09 | | | | | | | | | (1650) lazy_impl(all_294_1, all_294_0) = all_294_2
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | DELTA: instantiating (1623) with fresh symbols all_298_0,
% 74.84/11.09 | | | | | | | | | all_298_1, all_298_2 gives:
% 74.84/11.09 | | | | | | | | | (1651) f1(true, true, all_44_1) = all_298_2 &
% 74.84/11.09 | | | | | | | | | lazy_impl(all_298_1, all_298_0) = all_298_2 &
% 74.84/11.09 | | | | | | | | | impl(all_44_1, all_44_1) = all_298_0 &
% 74.84/11.09 | | | | | | | | | prop(all_44_1) = all_298_1 & $i(all_298_0) &
% 74.84/11.09 | | | | | | | | | $i(all_298_1) & $i(all_298_2)
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | ALPHA: (1651) implies:
% 74.84/11.09 | | | | | | | | | (1652) prop(all_44_1) = all_298_1
% 74.84/11.09 | | | | | | | | | (1653) impl(all_44_1, all_44_1) = all_298_0
% 74.84/11.09 | | | | | | | | | (1654) lazy_impl(all_298_1, all_298_0) = all_298_2
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | DELTA: instantiating (1621) with fresh symbols all_302_0,
% 74.84/11.09 | | | | | | | | | all_302_1, all_302_2 gives:
% 74.84/11.09 | | | | | | | | | (1655) f2(true, false, all_44_0) = all_302_2 &
% 74.84/11.09 | | | | | | | | | lazy_impl(all_302_1, all_302_0) = all_302_2 &
% 74.84/11.09 | | | | | | | | | impl(true, all_44_0) = all_302_0 & prop(all_44_0) =
% 74.84/11.09 | | | | | | | | | all_302_1 & $i(all_302_0) & $i(all_302_1) &
% 74.84/11.09 | | | | | | | | | $i(all_302_2)
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | ALPHA: (1655) implies:
% 74.84/11.09 | | | | | | | | | (1656) prop(all_44_0) = all_302_1
% 74.84/11.09 | | | | | | | | | (1657) impl(true, all_44_0) = all_302_0
% 74.84/11.09 | | | | | | | | | (1658) lazy_impl(all_302_1, all_302_0) = all_302_2
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | DELTA: instantiating (1620) with fresh symbols all_308_0,
% 74.84/11.09 | | | | | | | | | all_308_1, all_308_2 gives:
% 74.84/11.09 | | | | | | | | | (1659) f1(false, false, all_44_0) = all_308_2 &
% 74.84/11.09 | | | | | | | | | lazy_impl(all_308_1, all_308_0) = all_308_2 &
% 74.84/11.09 | | | | | | | | | impl(true, all_44_0) = all_308_0 & prop(all_44_0) =
% 74.84/11.09 | | | | | | | | | all_308_1 & $i(all_308_0) & $i(all_308_1) &
% 74.84/11.09 | | | | | | | | | $i(all_308_2)
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | ALPHA: (1659) implies:
% 74.84/11.09 | | | | | | | | | (1660) prop(all_44_0) = all_308_1
% 74.84/11.09 | | | | | | | | | (1661) impl(true, all_44_0) = all_308_0
% 74.84/11.09 | | | | | | | | | (1662) lazy_impl(all_308_1, all_308_0) = all_308_2
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | DELTA: instantiating (1619) with fresh symbols all_312_0,
% 74.84/11.09 | | | | | | | | | all_312_1, all_312_2 gives:
% 74.84/11.09 | | | | | | | | | (1663) f1(true, false, all_44_0) = all_312_2 &
% 74.84/11.09 | | | | | | | | | lazy_impl(all_312_1, all_312_0) = all_312_2 &
% 74.84/11.09 | | | | | | | | | impl(true, all_44_0) = all_312_0 & prop(all_44_0) =
% 74.84/11.09 | | | | | | | | | all_312_1 & $i(all_312_0) & $i(all_312_1) &
% 74.84/11.09 | | | | | | | | | $i(all_312_2)
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | ALPHA: (1663) implies:
% 74.84/11.09 | | | | | | | | | (1664) prop(all_44_0) = all_312_1
% 74.84/11.09 | | | | | | | | | (1665) impl(true, all_44_0) = all_312_0
% 74.84/11.09 | | | | | | | | | (1666) lazy_impl(all_312_1, all_312_0) = all_312_2
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | DELTA: instantiating (1618) with fresh symbols all_314_0,
% 74.84/11.09 | | | | | | | | | all_314_1, all_314_2 gives:
% 74.84/11.09 | | | | | | | | | (1667) f2(true, false, all_44_1) = all_314_2 &
% 74.84/11.09 | | | | | | | | | lazy_impl(all_314_1, all_314_0) = all_314_2 &
% 74.84/11.09 | | | | | | | | | impl(true, all_44_1) = all_314_0 & prop(all_44_1) =
% 74.84/11.09 | | | | | | | | | all_314_1 & $i(all_314_0) & $i(all_314_1) &
% 74.84/11.09 | | | | | | | | | $i(all_314_2)
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | ALPHA: (1667) implies:
% 74.84/11.09 | | | | | | | | | (1668) prop(all_44_1) = all_314_1
% 74.84/11.09 | | | | | | | | | (1669) impl(true, all_44_1) = all_314_0
% 74.84/11.09 | | | | | | | | | (1670) lazy_impl(all_314_1, all_314_0) = all_314_2
% 74.84/11.09 | | | | | | | | | (1671) f2(true, false, all_44_1) = all_314_2
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | DELTA: instantiating (1617) with fresh symbols all_316_0,
% 74.84/11.09 | | | | | | | | | all_316_1, all_316_2 gives:
% 74.84/11.09 | | | | | | | | | (1672) f1(false, false, all_44_1) = all_316_2 &
% 74.84/11.09 | | | | | | | | | lazy_impl(all_316_1, all_316_0) = all_316_2 &
% 74.84/11.09 | | | | | | | | | impl(true, all_44_1) = all_316_0 & prop(all_44_1) =
% 74.84/11.09 | | | | | | | | | all_316_1 & $i(all_316_0) & $i(all_316_1) &
% 74.84/11.09 | | | | | | | | | $i(all_316_2)
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | ALPHA: (1672) implies:
% 74.84/11.09 | | | | | | | | | (1673) prop(all_44_1) = all_316_1
% 74.84/11.09 | | | | | | | | | (1674) impl(true, all_44_1) = all_316_0
% 74.84/11.09 | | | | | | | | | (1675) lazy_impl(all_316_1, all_316_0) = all_316_2
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | DELTA: instantiating (1631) with fresh symbols all_318_0,
% 74.84/11.09 | | | | | | | | | all_318_1, all_318_2 gives:
% 74.84/11.09 | | | | | | | | | (1676) f2(true, all_42_2, err) = all_318_2 &
% 74.84/11.09 | | | | | | | | | lazy_impl(all_318_1, all_318_0) = all_318_2 &
% 74.84/11.09 | | | | | | | | | impl(err, err) = all_318_0 & prop(err) = all_318_1 &
% 74.84/11.09 | | | | | | | | | $i(all_318_0) & $i(all_318_1) & $i(all_318_2)
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | ALPHA: (1676) implies:
% 74.84/11.09 | | | | | | | | | (1677) impl(err, err) = all_318_0
% 74.84/11.09 | | | | | | | | |
% 74.84/11.09 | | | | | | | | | DELTA: instantiating (1630) with fresh symbols all_320_0,
% 74.84/11.09 | | | | | | | | | all_320_1, all_320_2 gives:
% 74.84/11.10 | | | | | | | | | (1678) f1(all_42_2, all_42_2, err) = all_320_2 &
% 74.84/11.10 | | | | | | | | | lazy_impl(all_320_1, all_320_0) = all_320_2 &
% 74.84/11.10 | | | | | | | | | impl(err, err) = all_320_0 & prop(err) = all_320_1 &
% 74.84/11.10 | | | | | | | | | $i(all_320_0) & $i(all_320_1) & $i(all_320_2)
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | ALPHA: (1678) implies:
% 74.84/11.10 | | | | | | | | | (1679) impl(err, err) = all_320_0
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | DELTA: instantiating (1627) with fresh symbols all_322_0,
% 74.84/11.10 | | | | | | | | | all_322_1, all_322_2 gives:
% 74.84/11.10 | | | | | | | | | (1680) f1(true, true, all_44_0) = all_322_2 &
% 74.84/11.10 | | | | | | | | | lazy_impl(all_322_1, all_322_0) = all_322_2 &
% 74.84/11.10 | | | | | | | | | impl(all_44_0, all_44_0) = all_322_0 &
% 74.84/11.10 | | | | | | | | | prop(all_44_0) = all_322_1 & $i(all_322_0) &
% 74.84/11.10 | | | | | | | | | $i(all_322_1) & $i(all_322_2)
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | ALPHA: (1680) implies:
% 74.84/11.10 | | | | | | | | | (1681) prop(all_44_0) = all_322_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | DELTA: instantiating (1629) with fresh symbols all_324_0,
% 74.84/11.10 | | | | | | | | | all_324_1, all_324_2 gives:
% 74.84/11.10 | | | | | | | | | (1682) f2(true, true, all_44_0) = all_324_2 &
% 74.84/11.10 | | | | | | | | | lazy_impl(all_324_1, all_324_0) = all_324_2 &
% 74.84/11.10 | | | | | | | | | impl(err, all_44_0) = all_324_0 & prop(all_44_0) =
% 74.84/11.10 | | | | | | | | | all_324_1 & $i(all_324_0) & $i(all_324_1) &
% 74.84/11.10 | | | | | | | | | $i(all_324_2)
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | ALPHA: (1682) implies:
% 74.84/11.10 | | | | | | | | | (1683) prop(all_44_0) = all_324_1
% 74.84/11.10 | | | | | | | | | (1684) impl(err, all_44_0) = all_324_0
% 74.84/11.10 | | | | | | | | | (1685) lazy_impl(all_324_1, all_324_0) = all_324_2
% 74.84/11.10 | | | | | | | | | (1686) f2(true, true, all_44_0) = all_324_2
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | DELTA: instantiating (1616) with fresh symbols all_326_0,
% 74.84/11.10 | | | | | | | | | all_326_1, all_326_2 gives:
% 74.84/11.10 | | | | | | | | | (1687) f1(true, false, all_44_1) = all_326_2 &
% 74.84/11.10 | | | | | | | | | lazy_impl(all_326_1, all_326_0) = all_326_2 &
% 74.84/11.10 | | | | | | | | | impl(true, all_44_1) = all_326_0 & prop(all_44_1) =
% 74.84/11.10 | | | | | | | | | all_326_1 & $i(all_326_0) & $i(all_326_1) &
% 74.84/11.10 | | | | | | | | | $i(all_326_2)
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | ALPHA: (1687) implies:
% 74.84/11.10 | | | | | | | | | (1688) prop(all_44_1) = all_326_1
% 74.84/11.10 | | | | | | | | | (1689) impl(true, all_44_1) = all_326_0
% 74.84/11.10 | | | | | | | | | (1690) lazy_impl(all_326_1, all_326_0) = all_326_2
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | DELTA: instantiating (1628) with fresh symbols all_330_0,
% 74.84/11.10 | | | | | | | | | all_330_1, all_330_2 gives:
% 74.84/11.10 | | | | | | | | | (1691) f1(false, true, all_44_0) = all_330_2 &
% 74.84/11.10 | | | | | | | | | lazy_impl(all_330_1, all_330_0) = all_330_2 &
% 74.84/11.10 | | | | | | | | | impl(true, all_44_0) = all_330_0 & prop(all_44_0) =
% 74.84/11.10 | | | | | | | | | all_330_1 & $i(all_330_0) & $i(all_330_1) &
% 74.84/11.10 | | | | | | | | | $i(all_330_2)
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | ALPHA: (1691) implies:
% 74.84/11.10 | | | | | | | | | (1692) prop(all_44_0) = all_330_1
% 74.84/11.10 | | | | | | | | | (1693) impl(true, all_44_0) = all_330_0
% 74.84/11.10 | | | | | | | | | (1694) lazy_impl(all_330_1, all_330_0) = all_330_2
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (43) with true, all_298_1, all_44_1,
% 74.84/11.10 | | | | | | | | | simplifying with (1579), (1652) gives:
% 74.84/11.10 | | | | | | | | | (1695) all_298_1 = true
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (43) with all_294_1, all_298_1,
% 74.84/11.10 | | | | | | | | | all_44_1, simplifying with (1648), (1652) gives:
% 74.84/11.10 | | | | | | | | | (1696) all_298_1 = all_294_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (43) with all_294_1, all_314_1,
% 74.84/11.10 | | | | | | | | | all_44_1, simplifying with (1648), (1668) gives:
% 74.84/11.10 | | | | | | | | | (1697) all_314_1 = all_294_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (43) with all_286_0, all_314_1,
% 74.84/11.10 | | | | | | | | | all_44_1, simplifying with (1641), (1668) gives:
% 74.84/11.10 | | | | | | | | | (1698) all_314_1 = all_286_0
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (43) with all_294_1, all_316_1,
% 74.84/11.10 | | | | | | | | | all_44_1, simplifying with (1648), (1673) gives:
% 74.84/11.10 | | | | | | | | | (1699) all_316_1 = all_294_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (43) with all_316_1, all_326_1,
% 74.84/11.10 | | | | | | | | | all_44_1, simplifying with (1673), (1688) gives:
% 74.84/11.10 | | | | | | | | | (1700) all_326_1 = all_316_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (43) with all_292_1, all_326_1,
% 74.84/11.10 | | | | | | | | | all_44_1, simplifying with (1644), (1688) gives:
% 74.84/11.10 | | | | | | | | | (1701) all_326_1 = all_292_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (43) with true, all_302_1, all_44_0,
% 74.84/11.10 | | | | | | | | | simplifying with (1589), (1656) gives:
% 74.84/11.10 | | | | | | | | | (1702) all_302_1 = true
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (43) with all_312_1, all_322_1,
% 74.84/11.10 | | | | | | | | | all_44_0, simplifying with (1664), (1681) gives:
% 74.84/11.10 | | | | | | | | | (1703) all_322_1 = all_312_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (43) with all_302_1, all_322_1,
% 74.84/11.10 | | | | | | | | | all_44_0, simplifying with (1656), (1681) gives:
% 74.84/11.10 | | | | | | | | | (1704) all_322_1 = all_302_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (43) with all_322_1, all_324_1,
% 74.84/11.10 | | | | | | | | | all_44_0, simplifying with (1681), (1683) gives:
% 74.84/11.10 | | | | | | | | | (1705) all_324_1 = all_322_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (43) with all_308_1, all_324_1,
% 74.84/11.10 | | | | | | | | | all_44_0, simplifying with (1660), (1683) gives:
% 74.84/11.10 | | | | | | | | | (1706) all_324_1 = all_308_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (43) with all_312_1, all_330_1,
% 74.84/11.10 | | | | | | | | | all_44_0, simplifying with (1664), (1692) gives:
% 74.84/11.10 | | | | | | | | | (1707) all_330_1 = all_312_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (43) with all_282_0, all_330_1,
% 74.84/11.10 | | | | | | | | | all_44_0, simplifying with (1637), (1692) gives:
% 74.84/11.10 | | | | | | | | | (1708) all_330_1 = all_282_0
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (47) with all_294_0, all_314_0,
% 74.84/11.10 | | | | | | | | | all_44_1, true, simplifying with (1649), (1669)
% 74.84/11.10 | | | | | | | | | gives:
% 74.84/11.10 | | | | | | | | | (1709) all_314_0 = all_294_0
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (47) with all_314_0, all_316_0,
% 74.84/11.10 | | | | | | | | | all_44_1, true, simplifying with (1669), (1674)
% 74.84/11.10 | | | | | | | | | gives:
% 74.84/11.10 | | | | | | | | | (1710) all_316_0 = all_314_0
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (47) with all_44_1, all_326_0,
% 74.84/11.10 | | | | | | | | | all_44_1, true, simplifying with (1585), (1689)
% 74.84/11.10 | | | | | | | | | gives:
% 74.84/11.10 | | | | | | | | | (1711) all_326_0 = all_44_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (47) with all_316_0, all_326_0,
% 74.84/11.10 | | | | | | | | | all_44_1, true, simplifying with (1674), (1689)
% 74.84/11.10 | | | | | | | | | gives:
% 74.84/11.10 | | | | | | | | | (1712) all_326_0 = all_316_0
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (47) with all_44_0, all_308_0,
% 74.84/11.10 | | | | | | | | | all_44_0, true, simplifying with (1587), (1661)
% 74.84/11.10 | | | | | | | | | gives:
% 74.84/11.10 | | | | | | | | | (1713) all_308_0 = all_44_0
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (47) with all_308_0, all_312_0,
% 74.84/11.10 | | | | | | | | | all_44_0, true, simplifying with (1661), (1665)
% 74.84/11.10 | | | | | | | | | gives:
% 74.84/11.10 | | | | | | | | | (1714) all_312_0 = all_308_0
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (47) with all_312_0, all_330_0,
% 74.84/11.10 | | | | | | | | | all_44_0, true, simplifying with (1665), (1693)
% 74.84/11.10 | | | | | | | | | gives:
% 74.84/11.10 | | | | | | | | | (1715) all_330_0 = all_312_0
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (47) with all_302_0, all_330_0,
% 74.84/11.10 | | | | | | | | | all_44_0, true, simplifying with (1657), (1693)
% 74.84/11.10 | | | | | | | | | gives:
% 74.84/11.10 | | | | | | | | | (1716) all_330_0 = all_302_0
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (47) with all_318_0, all_320_0, err,
% 74.84/11.10 | | | | | | | | | err, simplifying with (1677), (1679) gives:
% 74.84/11.10 | | | | | | | | | (1717) all_320_0 = all_318_0
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (48) with err, all_276_0, all_44_0,
% 74.84/11.10 | | | | | | | | | true, simplifying with (1566), (1633) gives:
% 74.84/11.10 | | | | | | | | | (1718) all_276_0 = err
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1715), (1716) imply:
% 74.84/11.10 | | | | | | | | | (1719) all_312_0 = all_302_0
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | SIMP: (1719) implies:
% 74.84/11.10 | | | | | | | | | (1720) all_312_0 = all_302_0
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1707), (1708) imply:
% 74.84/11.10 | | | | | | | | | (1721) all_312_1 = all_282_0
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | SIMP: (1721) implies:
% 74.84/11.10 | | | | | | | | | (1722) all_312_1 = all_282_0
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1711), (1712) imply:
% 74.84/11.10 | | | | | | | | | (1723) all_316_0 = all_44_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | SIMP: (1723) implies:
% 74.84/11.10 | | | | | | | | | (1724) all_316_0 = all_44_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1700), (1701) imply:
% 74.84/11.10 | | | | | | | | | (1725) all_316_1 = all_292_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | SIMP: (1725) implies:
% 74.84/11.10 | | | | | | | | | (1726) all_316_1 = all_292_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1705), (1706) imply:
% 74.84/11.10 | | | | | | | | | (1727) all_322_1 = all_308_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | SIMP: (1727) implies:
% 74.84/11.10 | | | | | | | | | (1728) all_322_1 = all_308_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1703), (1728) imply:
% 74.84/11.10 | | | | | | | | | (1729) all_312_1 = all_308_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | SIMP: (1729) implies:
% 74.84/11.10 | | | | | | | | | (1730) all_312_1 = all_308_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1704), (1728) imply:
% 74.84/11.10 | | | | | | | | | (1731) all_308_1 = all_302_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1710), (1724) imply:
% 74.84/11.10 | | | | | | | | | (1732) all_314_0 = all_44_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | SIMP: (1732) implies:
% 74.84/11.10 | | | | | | | | | (1733) all_314_0 = all_44_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1699), (1726) imply:
% 74.84/11.10 | | | | | | | | | (1734) all_294_1 = all_292_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | SIMP: (1734) implies:
% 74.84/11.10 | | | | | | | | | (1735) all_294_1 = all_292_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1709), (1733) imply:
% 74.84/11.10 | | | | | | | | | (1736) all_294_0 = all_44_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | SIMP: (1736) implies:
% 74.84/11.10 | | | | | | | | | (1737) all_294_0 = all_44_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1697), (1698) imply:
% 74.84/11.10 | | | | | | | | | (1738) all_294_1 = all_286_0
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | SIMP: (1738) implies:
% 74.84/11.10 | | | | | | | | | (1739) all_294_1 = all_286_0
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1714), (1720) imply:
% 74.84/11.10 | | | | | | | | | (1740) all_308_0 = all_302_0
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | SIMP: (1740) implies:
% 74.84/11.10 | | | | | | | | | (1741) all_308_0 = all_302_0
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1722), (1730) imply:
% 74.84/11.10 | | | | | | | | | (1742) all_308_1 = all_282_0
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | SIMP: (1742) implies:
% 74.84/11.10 | | | | | | | | | (1743) all_308_1 = all_282_0
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1713), (1741) imply:
% 74.84/11.10 | | | | | | | | | (1744) all_302_0 = all_44_0
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | SIMP: (1744) implies:
% 74.84/11.10 | | | | | | | | | (1745) all_302_0 = all_44_0
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1731), (1743) imply:
% 74.84/11.10 | | | | | | | | | (1746) all_302_1 = all_282_0
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | SIMP: (1746) implies:
% 74.84/11.10 | | | | | | | | | (1747) all_302_1 = all_282_0
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1702), (1747) imply:
% 74.84/11.10 | | | | | | | | | (1748) all_282_0 = true
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1695), (1696) imply:
% 74.84/11.10 | | | | | | | | | (1749) all_294_1 = true
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | SIMP: (1749) implies:
% 74.84/11.10 | | | | | | | | | (1750) all_294_1 = true
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1735), (1750) imply:
% 74.84/11.10 | | | | | | | | | (1751) all_292_1 = true
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1735), (1739) imply:
% 74.84/11.10 | | | | | | | | | (1752) all_292_1 = all_286_0
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1751), (1752) imply:
% 74.84/11.10 | | | | | | | | | (1753) all_286_0 = true
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1743), (1748) imply:
% 74.84/11.10 | | | | | | | | | (1754) all_308_1 = true
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1722), (1748) imply:
% 74.84/11.10 | | | | | | | | | (1755) all_312_1 = true
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1720), (1745) imply:
% 74.84/11.10 | | | | | | | | | (1756) all_312_0 = all_44_0
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1698), (1753) imply:
% 74.84/11.10 | | | | | | | | | (1757) all_314_1 = true
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1726), (1751) imply:
% 74.84/11.10 | | | | | | | | | (1758) all_316_1 = true
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1706), (1754) imply:
% 74.84/11.10 | | | | | | | | | (1759) all_324_1 = true
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1701), (1751) imply:
% 74.84/11.10 | | | | | | | | | (1760) all_326_1 = true
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1708), (1748) imply:
% 74.84/11.10 | | | | | | | | | (1761) all_330_1 = true
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1716), (1745) imply:
% 74.84/11.10 | | | | | | | | | (1762) all_330_0 = all_44_0
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | REDUCE: (1694), (1761), (1762) imply:
% 74.84/11.10 | | | | | | | | | (1763) lazy_impl(true, all_44_0) = all_330_2
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | REDUCE: (1690), (1711), (1760) imply:
% 74.84/11.10 | | | | | | | | | (1764) lazy_impl(true, all_44_1) = all_326_2
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | REDUCE: (1685), (1759) imply:
% 74.84/11.10 | | | | | | | | | (1765) lazy_impl(true, all_324_0) = all_324_2
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | REDUCE: (1675), (1724), (1758) imply:
% 74.84/11.10 | | | | | | | | | (1766) lazy_impl(true, all_44_1) = all_316_2
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | REDUCE: (1670), (1733), (1757) imply:
% 74.84/11.10 | | | | | | | | | (1767) lazy_impl(true, all_44_1) = all_314_2
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | REDUCE: (1666), (1755), (1756) imply:
% 74.84/11.10 | | | | | | | | | (1768) lazy_impl(true, all_44_0) = all_312_2
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | REDUCE: (1662), (1713), (1754) imply:
% 74.84/11.10 | | | | | | | | | (1769) lazy_impl(true, all_44_0) = all_308_2
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | REDUCE: (1658), (1702), (1745) imply:
% 74.84/11.10 | | | | | | | | | (1770) lazy_impl(true, all_44_0) = all_302_2
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | REDUCE: (1654), (1695) imply:
% 74.84/11.10 | | | | | | | | | (1771) lazy_impl(true, all_298_0) = all_298_2
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | REDUCE: (1650), (1737), (1750) imply:
% 74.84/11.10 | | | | | | | | | (1772) lazy_impl(true, all_44_1) = all_294_2
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | REDUCE: (1642), (1753) imply:
% 74.84/11.10 | | | | | | | | | (1773) lazy_impl(true, all_44_1) = all_286_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | REDUCE: (1638), (1748) imply:
% 74.84/11.10 | | | | | | | | | (1774) lazy_impl(true, all_44_0) = all_282_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (48) with all_44_0, all_294_2,
% 74.84/11.10 | | | | | | | | | all_44_1, true, simplifying with (1577), (1772)
% 74.84/11.10 | | | | | | | | | gives:
% 74.84/11.10 | | | | | | | | | (1775) all_294_2 = all_44_0
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (48) with all_294_2, all_314_2,
% 74.84/11.10 | | | | | | | | | all_44_1, true, simplifying with (1767), (1772)
% 74.84/11.10 | | | | | | | | | gives:
% 74.84/11.10 | | | | | | | | | (1776) all_314_2 = all_294_2
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (48) with all_314_2, all_316_2,
% 74.84/11.10 | | | | | | | | | all_44_1, true, simplifying with (1766), (1767)
% 74.84/11.10 | | | | | | | | | gives:
% 74.84/11.10 | | | | | | | | | (1777) all_316_2 = all_314_2
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (48) with all_316_2, all_326_2,
% 74.84/11.10 | | | | | | | | | all_44_1, true, simplifying with (1764), (1766)
% 74.84/11.10 | | | | | | | | | gives:
% 74.84/11.10 | | | | | | | | | (1778) all_326_2 = all_316_2
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (48) with all_286_1, all_326_2,
% 74.84/11.10 | | | | | | | | | all_44_1, true, simplifying with (1764), (1773)
% 74.84/11.10 | | | | | | | | | gives:
% 74.84/11.10 | | | | | | | | | (1779) all_326_2 = all_286_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (48) with err, all_312_2, all_44_0,
% 74.84/11.10 | | | | | | | | | true, simplifying with (1566), (1768) gives:
% 74.84/11.10 | | | | | | | | | (1780) all_312_2 = err
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (48) with all_302_2, all_312_2,
% 74.84/11.10 | | | | | | | | | all_44_0, true, simplifying with (1768), (1770)
% 74.84/11.10 | | | | | | | | | gives:
% 74.84/11.10 | | | | | | | | | (1781) all_312_2 = all_302_2
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (48) with all_282_1, all_312_2,
% 74.84/11.10 | | | | | | | | | all_44_0, true, simplifying with (1768), (1774)
% 74.84/11.10 | | | | | | | | | gives:
% 74.84/11.10 | | | | | | | | | (1782) all_312_2 = all_282_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (48) with all_312_2, all_330_2,
% 74.84/11.10 | | | | | | | | | all_44_0, true, simplifying with (1763), (1768)
% 74.84/11.10 | | | | | | | | | gives:
% 74.84/11.10 | | | | | | | | | (1783) all_330_2 = all_312_2
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | GROUND_INST: instantiating (48) with all_308_2, all_330_2,
% 74.84/11.10 | | | | | | | | | all_44_0, true, simplifying with (1763), (1769)
% 74.84/11.10 | | | | | | | | | gives:
% 74.84/11.10 | | | | | | | | | (1784) all_330_2 = all_308_2
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1783), (1784) imply:
% 74.84/11.10 | | | | | | | | | (1785) all_312_2 = all_308_2
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | SIMP: (1785) implies:
% 74.84/11.10 | | | | | | | | | (1786) all_312_2 = all_308_2
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1778), (1779) imply:
% 74.84/11.10 | | | | | | | | | (1787) all_316_2 = all_286_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | SIMP: (1787) implies:
% 74.84/11.10 | | | | | | | | | (1788) all_316_2 = all_286_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1777), (1788) imply:
% 74.84/11.10 | | | | | | | | | (1789) all_314_2 = all_286_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | SIMP: (1789) implies:
% 74.84/11.10 | | | | | | | | | (1790) all_314_2 = all_286_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1776), (1790) imply:
% 74.84/11.10 | | | | | | | | | (1791) all_294_2 = all_286_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | SIMP: (1791) implies:
% 74.84/11.10 | | | | | | | | | (1792) all_294_2 = all_286_1
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1781), (1786) imply:
% 74.84/11.10 | | | | | | | | | (1793) all_308_2 = all_302_2
% 74.84/11.10 | | | | | | | | |
% 74.84/11.10 | | | | | | | | | COMBINE_EQS: (1782), (1786) imply:
% 74.84/11.11 | | | | | | | | | (1794) all_308_2 = all_282_1
% 74.84/11.11 | | | | | | | | |
% 74.84/11.11 | | | | | | | | | COMBINE_EQS: (1780), (1786) imply:
% 74.84/11.11 | | | | | | | | | (1795) all_308_2 = err
% 74.84/11.11 | | | | | | | | |
% 74.84/11.11 | | | | | | | | | COMBINE_EQS: (1793), (1794) imply:
% 74.84/11.11 | | | | | | | | | (1796) all_302_2 = all_282_1
% 74.84/11.11 | | | | | | | | |
% 74.84/11.11 | | | | | | | | | COMBINE_EQS: (1793), (1795) imply:
% 74.84/11.11 | | | | | | | | | (1797) all_302_2 = err
% 74.84/11.11 | | | | | | | | |
% 74.84/11.11 | | | | | | | | | COMBINE_EQS: (1796), (1797) imply:
% 74.84/11.11 | | | | | | | | | (1798) all_282_1 = err
% 74.84/11.11 | | | | | | | | |
% 74.84/11.11 | | | | | | | | | SIMP: (1798) implies:
% 74.84/11.11 | | | | | | | | | (1799) all_282_1 = err
% 74.84/11.11 | | | | | | | | |
% 74.84/11.11 | | | | | | | | | COMBINE_EQS: (1775), (1792) imply:
% 74.84/11.11 | | | | | | | | | (1800) all_286_1 = all_44_0
% 74.84/11.11 | | | | | | | | |
% 74.84/11.11 | | | | | | | | | COMBINE_EQS: (1790), (1800) imply:
% 74.84/11.11 | | | | | | | | | (1801) all_314_2 = all_44_0
% 74.84/11.11 | | | | | | | | |
% 74.84/11.11 | | | | | | | | | REDUCE: (1671), (1801) imply:
% 74.84/11.11 | | | | | | | | | (1802) f2(true, false, all_44_1) = all_44_0
% 74.84/11.11 | | | | | | | | |
% 74.84/11.11 | | | | | | | | | GROUND_INST: instantiating (impl_axiom1) with err, err,
% 74.84/11.11 | | | | | | | | | all_318_0, simplifying with (11), (1677) gives:
% 74.84/11.11 | | | | | | | | | (1803) ? [v0: any] : ? [v1: $i] : (phi(err) = v1 &
% 74.84/11.11 | | | | | | | | | bool(err) = v0 & $i(v1) & (v1 = all_318_0 | v0 =
% 74.84/11.11 | | | | | | | | | 0))
% 74.84/11.11 | | | | | | | | |
% 74.84/11.11 | | | | | | | | | GROUND_INST: instantiating (impl_axiom1) with err, all_44_0,
% 74.84/11.11 | | | | | | | | | all_324_0, simplifying with (11), (59), (1684)
% 74.84/11.11 | | | | | | | | | gives:
% 74.84/11.11 | | | | | | | | | (1804) ? [v0: any] : ? [v1: $i] : (phi(err) = v1 &
% 74.84/11.11 | | | | | | | | | bool(err) = v0 & $i(v1) & (v1 = all_324_0 | v0 =
% 74.84/11.11 | | | | | | | | | 0))
% 74.84/11.11 | | | | | | | | |
% 74.84/11.11 | | | | | | | | | GROUND_INST: instantiating (27) with true, all_44_1, all_44_1,
% 74.84/11.11 | | | | | | | | | all_298_0, all_298_2, simplifying with (36), (58),
% 74.84/11.11 | | | | | | | | | (1653), (1771) gives:
% 74.84/11.11 | | | | | | | | | (1805) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f2(true,
% 74.84/11.11 | | | | | | | | | all_44_1, all_44_1) = v0 & lazy_impl(v1, v2) =
% 74.84/11.11 | | | | | | | | | v0 & impl(all_298_2, all_44_1) = v2 &
% 74.84/11.11 | | | | | | | | | prop(all_44_1) = v1 & $i(v2) & $i(v1) & $i(v0))
% 74.84/11.11 | | | | | | | | |
% 74.84/11.11 | | | | | | | | | DELTA: instantiating (1803) with fresh symbols all_356_0,
% 74.84/11.11 | | | | | | | | | all_356_1 gives:
% 74.84/11.11 | | | | | | | | | (1806) phi(err) = all_356_0 & bool(err) = all_356_1 &
% 74.84/11.11 | | | | | | | | | $i(all_356_0) & (all_356_0 = all_318_0 | all_356_1 =
% 74.84/11.11 | | | | | | | | | 0)
% 74.84/11.11 | | | | | | | | |
% 74.84/11.11 | | | | | | | | | ALPHA: (1806) implies:
% 74.84/11.11 | | | | | | | | | (1807) bool(err) = all_356_1
% 74.84/11.11 | | | | | | | | | (1808) phi(err) = all_356_0
% 74.84/11.11 | | | | | | | | |
% 74.84/11.11 | | | | | | | | | DELTA: instantiating (1804) with fresh symbols all_360_0,
% 74.84/11.11 | | | | | | | | | all_360_1 gives:
% 74.84/11.11 | | | | | | | | | (1809) phi(err) = all_360_0 & bool(err) = all_360_1 &
% 74.84/11.11 | | | | | | | | | $i(all_360_0) & (all_360_0 = all_324_0 | all_360_1 =
% 74.84/11.11 | | | | | | | | | 0)
% 74.84/11.11 | | | | | | | | |
% 74.84/11.11 | | | | | | | | | ALPHA: (1809) implies:
% 74.84/11.11 | | | | | | | | | (1810) bool(err) = all_360_1
% 74.84/11.11 | | | | | | | | | (1811) phi(err) = all_360_0
% 74.84/11.11 | | | | | | | | | (1812) all_360_0 = all_324_0 | all_360_1 = 0
% 74.84/11.11 | | | | | | | | |
% 74.84/11.11 | | | | | | | | | DELTA: instantiating (1805) with fresh symbols all_366_0,
% 74.84/11.11 | | | | | | | | | all_366_1, all_366_2 gives:
% 74.84/11.11 | | | | | | | | | (1813) f2(true, all_44_1, all_44_1) = all_366_2 &
% 74.84/11.11 | | | | | | | | | lazy_impl(all_366_1, all_366_0) = all_366_2 &
% 74.84/11.11 | | | | | | | | | impl(all_298_2, all_44_1) = all_366_0 &
% 74.84/11.11 | | | | | | | | | prop(all_44_1) = all_366_1 & $i(all_366_0) &
% 74.84/11.11 | | | | | | | | | $i(all_366_1) & $i(all_366_2)
% 74.84/11.11 | | | | | | | | |
% 74.84/11.11 | | | | | | | | | ALPHA: (1813) implies:
% 74.84/11.11 | | | | | | | | | (1814) f2(true, all_44_1, all_44_1) = all_366_2
% 74.84/11.11 | | | | | | | | |
% 74.84/11.11 | | | | | | | | | GROUND_INST: instantiating (40) with all_91_1, all_360_1, err,
% 74.84/11.11 | | | | | | | | | simplifying with (160), (1810) gives:
% 74.84/11.11 | | | | | | | | | (1815) all_360_1 = all_91_1
% 74.84/11.11 | | | | | | | | |
% 74.84/11.11 | | | | | | | | | GROUND_INST: instantiating (40) with all_356_1, all_360_1, err,
% 74.84/11.11 | | | | | | | | | simplifying with (1807), (1810) gives:
% 74.84/11.11 | | | | | | | | | (1816) all_360_1 = all_356_1
% 74.84/11.11 | | | | | | | | |
% 74.84/11.11 | | | | | | | | | GROUND_INST: instantiating (42) with err, all_360_0, err,
% 74.84/11.11 | | | | | | | | | simplifying with (65), (1811) gives:
% 74.84/11.11 | | | | | | | | | (1817) all_360_0 = err
% 74.84/11.11 | | | | | | | | |
% 74.84/11.11 | | | | | | | | | GROUND_INST: instantiating (42) with all_356_0, all_360_0, err,
% 74.84/11.11 | | | | | | | | | simplifying with (1808), (1811) gives:
% 74.84/11.11 | | | | | | | | | (1818) all_360_0 = all_356_0
% 74.84/11.11 | | | | | | | | |
% 74.84/11.11 | | | | | | | | | COMBINE_EQS: (1817), (1818) imply:
% 74.84/11.11 | | | | | | | | | (1819) all_356_0 = err
% 74.84/11.11 | | | | | | | | |
% 74.84/11.11 | | | | | | | | | COMBINE_EQS: (1815), (1816) imply:
% 74.84/11.11 | | | | | | | | | (1820) all_356_1 = all_91_1
% 74.84/11.11 | | | | | | | | |
% 74.84/11.11 | | | | | | | | | BETA: splitting (1812) gives:
% 74.84/11.11 | | | | | | | | |
% 74.84/11.11 | | | | | | | | | Case 1:
% 74.84/11.11 | | | | | | | | | |
% 74.84/11.11 | | | | | | | | | | (1821) all_360_1 = 0
% 74.84/11.11 | | | | | | | | | |
% 74.84/11.11 | | | | | | | | | | COMBINE_EQS: (1815), (1821) imply:
% 74.84/11.11 | | | | | | | | | | (1822) all_91_1 = 0
% 74.84/11.11 | | | | | | | | | |
% 74.84/11.11 | | | | | | | | | | SIMP: (1822) implies:
% 74.84/11.11 | | | | | | | | | | (1823) all_91_1 = 0
% 74.84/11.11 | | | | | | | | | |
% 74.84/11.11 | | | | | | | | | | REDUCE: (1602), (1823) imply:
% 74.84/11.11 | | | | | | | | | | (1824) $false
% 74.84/11.11 | | | | | | | | | |
% 74.84/11.11 | | | | | | | | | | CLOSE: (1824) is inconsistent.
% 74.84/11.11 | | | | | | | | | |
% 74.84/11.11 | | | | | | | | | Case 2:
% 74.84/11.11 | | | | | | | | | |
% 74.84/11.11 | | | | | | | | | | (1825) all_360_0 = all_324_0
% 74.84/11.11 | | | | | | | | | |
% 74.84/11.11 | | | | | | | | | | COMBINE_EQS: (1817), (1825) imply:
% 74.84/11.11 | | | | | | | | | | (1826) all_324_0 = err
% 74.84/11.11 | | | | | | | | | |
% 74.84/11.11 | | | | | | | | | | REDUCE: (1765), (1826) imply:
% 74.84/11.11 | | | | | | | | | | (1827) lazy_impl(true, err) = all_324_2
% 74.84/11.11 | | | | | | | | | |
% 74.84/11.11 | | | | | | | | | | GROUND_INST: instantiating (48) with err, all_324_2, err, true,
% 74.84/11.11 | | | | | | | | | | simplifying with (125), (1827) gives:
% 74.84/11.11 | | | | | | | | | | (1828) all_324_2 = err
% 74.84/11.11 | | | | | | | | | |
% 74.84/11.11 | | | | | | | | | | REDUCE: (1686), (1828) imply:
% 74.84/11.11 | | | | | | | | | | (1829) f2(true, true, all_44_0) = err
% 74.84/11.11 | | | | | | | | | |
% 74.84/11.11 | | | | | | | | | | BETA: splitting (1584) gives:
% 74.84/11.11 | | | | | | | | | |
% 74.84/11.11 | | | | | | | | | | Case 1:
% 74.84/11.11 | | | | | | | | | | |
% 74.84/11.11 | | | | | | | | | | | (1830) all_44_1 = true
% 74.84/11.11 | | | | | | | | | | |
% 74.84/11.11 | | | | | | | | | | | REDUCE: (61), (1830) imply:
% 74.84/11.11 | | | | | | | | | | | (1831) f7(true) = all_44_0
% 74.84/11.11 | | | | | | | | | | |
% 74.84/11.11 | | | | | | | | | | | GROUND_INST: instantiating (44) with true, all_44_0, true,
% 74.84/11.11 | | | | | | | | | | | simplifying with (437), (1831) gives:
% 74.84/11.11 | | | | | | | | | | | (1832) all_44_0 = true
% 74.84/11.11 | | | | | | | | | | |
% 74.84/11.11 | | | | | | | | | | | REDUCE: (538), (1832) imply:
% 74.84/11.11 | | | | | | | | | | | (1833) forallprefers(false, true) = all_178_0
% 74.84/11.11 | | | | | | | | | | |
% 74.84/11.11 | | | | | | | | | | | REF_CLOSE: (9), (537), (1833) are inconsistent by sub-proof
% 74.84/11.11 | | | | | | | | | | | #8.
% 74.84/11.11 | | | | | | | | | | |
% 74.84/11.11 | | | | | | | | | | Case 2:
% 74.84/11.11 | | | | | | | | | | |
% 74.84/11.11 | | | | | | | | | | | (1834) all_44_1 = false
% 74.84/11.11 | | | | | | | | | | |
% 74.84/11.11 | | | | | | | | | | | REDUCE: (1814), (1834) imply:
% 74.84/11.11 | | | | | | | | | | | (1835) f2(true, false, false) = all_366_2
% 74.84/11.11 | | | | | | | | | | |
% 74.84/11.11 | | | | | | | | | | | REDUCE: (1645), (1834) imply:
% 74.84/11.11 | | | | | | | | | | | (1836) f2(true, true, false) = all_292_2
% 74.84/11.11 | | | | | | | | | | |
% 74.84/11.11 | | | | | | | | | | | REDUCE: (1802), (1834) imply:
% 74.84/11.11 | | | | | | | | | | | (1837) f2(true, false, false) = all_44_0
% 74.84/11.11 | | | | | | | | | | |
% 74.84/11.11 | | | | | | | | | | | GROUND_INST: instantiating (50) with false, all_366_2, false,
% 74.84/11.11 | | | | | | | | | | | false, true, simplifying with (530), (1835) gives:
% 74.84/11.11 | | | | | | | | | | | (1838) all_366_2 = false
% 74.84/11.11 | | | | | | | | | | |
% 74.84/11.11 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_44_0, all_366_2,
% 74.84/11.11 | | | | | | | | | | | false, false, true, simplifying with (1835),
% 74.84/11.11 | | | | | | | | | | | (1837) gives:
% 74.84/11.11 | | | | | | | | | | | (1839) all_366_2 = all_44_0
% 74.84/11.11 | | | | | | | | | | |
% 74.84/11.11 | | | | | | | | | | | GROUND_INST: instantiating (50) with true, all_292_2, false,
% 74.84/11.11 | | | | | | | | | | | true, true, simplifying with (529), (1836) gives:
% 74.84/11.11 | | | | | | | | | | | (1840) all_292_2 = true
% 74.84/11.11 | | | | | | | | | | |
% 74.84/11.11 | | | | | | | | | | | COMBINE_EQS: (1838), (1839) imply:
% 74.84/11.11 | | | | | | | | | | | (1841) all_44_0 = false
% 74.84/11.11 | | | | | | | | | | |
% 74.84/11.11 | | | | | | | | | | | REDUCE: (1829), (1841) imply:
% 74.84/11.11 | | | | | | | | | | | (1842) f2(true, true, false) = err
% 74.84/11.11 | | | | | | | | | | |
% 74.84/11.11 | | | | | | | | | | | REF_CLOSE: (5), (50), (529), (1842) are inconsistent by
% 74.84/11.11 | | | | | | | | | | | sub-proof #5.
% 74.84/11.11 | | | | | | | | | | |
% 74.84/11.11 | | | | | | | | | | End of split
% 74.84/11.11 | | | | | | | | | |
% 74.84/11.11 | | | | | | | | | End of split
% 74.84/11.11 | | | | | | | | |
% 75.14/11.12 | | | | | | | | End of split
% 75.14/11.12 | | | | | | | |
% 75.14/11.12 | | | | | | | End of split
% 75.14/11.12 | | | | | | |
% 75.14/11.12 | | | | | | End of split
% 75.14/11.12 | | | | | |
% 75.14/11.12 | | | | | Case 2:
% 75.14/11.12 | | | | | |
% 75.14/11.12 | | | | | | (1843) ? [v0: int] : ( ~ (v0 = 0) & bool(all_44_1) = v0)
% 75.14/11.12 | | | | | |
% 75.14/11.12 | | | | | | DELTA: instantiating (1843) with fresh symbol all_245_0 gives:
% 75.14/11.12 | | | | | | (1844) ~ (all_245_0 = 0) & bool(all_44_1) = all_245_0
% 75.14/11.12 | | | | | |
% 75.14/11.12 | | | | | | REF_CLOSE: (40), (1573), (1844) are inconsistent by sub-proof #6.
% 75.14/11.12 | | | | | |
% 75.14/11.12 | | | | | End of split
% 75.14/11.12 | | | | |
% 75.14/11.12 | | | | Case 2:
% 75.14/11.12 | | | | |
% 75.14/11.12 | | | | | (1845) all_55_0 = false
% 75.14/11.12 | | | | |
% 75.14/11.12 | | | | | REDUCE: (83), (1845) imply:
% 75.14/11.12 | | | | | (1846) lazy_impl(false, all_44_1) = all_44_0
% 75.14/11.12 | | | | |
% 75.14/11.12 | | | | | BETA: splitting (187) gives:
% 75.14/11.12 | | | | |
% 75.14/11.12 | | | | | Case 1:
% 75.14/11.12 | | | | | |
% 75.14/11.12 | | | | | | (1847) prop(all_55_0) = false
% 75.14/11.12 | | | | | |
% 75.14/11.12 | | | | | | REDUCE: (1845), (1847) imply:
% 75.14/11.12 | | | | | | (1848) prop(false) = false
% 75.14/11.12 | | | | | |
% 75.14/11.12 | | | | | | GROUND_INST: instantiating (43) with true, false, false, simplifying
% 75.14/11.12 | | | | | | with (111), (1848) gives:
% 75.14/11.12 | | | | | | (1849) true = false
% 75.14/11.12 | | | | | |
% 75.14/11.12 | | | | | | REDUCE: (185), (1849) imply:
% 75.14/11.12 | | | | | | (1850) $false
% 75.14/11.12 | | | | | |
% 75.14/11.12 | | | | | | CLOSE: (1850) is inconsistent.
% 75.14/11.12 | | | | | |
% 75.14/11.12 | | | | | Case 2:
% 75.14/11.12 | | | | | |
% 75.14/11.12 | | | | | |
% 75.14/11.12 | | | | | | GROUND_INST: instantiating (22) with all_44_1, all_44_0, simplifying
% 75.14/11.12 | | | | | | with (58), (1846) gives:
% 75.14/11.12 | | | | | | (1851) all_44_0 = true
% 75.14/11.12 | | | | | |
% 75.14/11.12 | | | | | | REDUCE: (538), (1851) imply:
% 75.14/11.12 | | | | | | (1852) forallprefers(false, true) = all_178_0
% 75.14/11.12 | | | | | |
% 75.14/11.12 | | | | | | REF_CLOSE: (9), (537), (1852) are inconsistent by sub-proof #8.
% 75.14/11.12 | | | | | |
% 75.14/11.12 | | | | | End of split
% 75.14/11.12 | | | | |
% 75.14/11.12 | | | | End of split
% 75.14/11.12 | | | |
% 75.14/11.12 | | | End of split
% 75.14/11.12 | | |
% 75.14/11.12 | | Case 2:
% 75.14/11.12 | | |
% 75.14/11.12 | | | (1853) all_59_0 = all_42_1
% 75.14/11.12 | | | (1854) ~ (all_59_1 = 0)
% 75.14/11.12 | | |
% 75.14/11.12 | | | COMBINE_EQS: (174), (1853) imply:
% 75.14/11.12 | | | (1855) all_89_0 = all_42_1
% 75.14/11.12 | | |
% 75.14/11.12 | | | REF_CLOSE: (53), (158), (170), (1854), (1855) are inconsistent by
% 75.14/11.12 | | | sub-proof #4.
% 75.14/11.12 | | |
% 75.14/11.12 | | End of split
% 75.14/11.12 | |
% 75.14/11.12 | Case 2:
% 75.14/11.12 | |
% 75.14/11.12 | | (1856) ~ (all_57_1 = 0)
% 75.14/11.12 | |
% 75.14/11.12 | | BETA: splitting (117) gives:
% 75.14/11.12 | |
% 75.14/11.12 | | Case 1:
% 75.14/11.12 | | |
% 75.14/11.12 | | | (1857) prop(all_44_0) = false
% 75.14/11.12 | | |
% 75.14/11.12 | | | BETA: splitting (118) gives:
% 75.14/11.12 | | |
% 75.14/11.12 | | | Case 1:
% 75.14/11.12 | | | |
% 75.14/11.12 | | | | (1858) all_57_1 = 0
% 75.14/11.12 | | | |
% 75.14/11.12 | | | | REDUCE: (1856), (1858) imply:
% 75.14/11.12 | | | | (1859) $false
% 75.14/11.12 | | | |
% 75.14/11.12 | | | | CLOSE: (1859) is inconsistent.
% 75.14/11.12 | | | |
% 75.14/11.12 | | | Case 2:
% 75.14/11.12 | | | |
% 75.14/11.12 | | | | (1860) ? [v0: $i] : ( ~ (v0 = true) & prop(all_44_0) = v0 & $i(v0))
% 75.14/11.12 | | | |
% 75.14/11.12 | | | | DELTA: instantiating (1860) with fresh symbol all_205_0 gives:
% 75.14/11.12 | | | | (1861) ~ (all_205_0 = true) & prop(all_44_0) = all_205_0 &
% 75.14/11.12 | | | | $i(all_205_0)
% 75.14/11.12 | | | |
% 75.14/11.12 | | | | ALPHA: (1861) implies:
% 75.14/11.12 | | | | (1862) ~ (all_205_0 = true)
% 75.14/11.12 | | | | (1863) prop(all_44_0) = all_205_0
% 75.14/11.12 | | | |
% 75.14/11.12 | | | | GROUND_INST: instantiating (43) with false, all_205_0, all_44_0,
% 75.14/11.12 | | | | simplifying with (1857), (1863) gives:
% 75.14/11.12 | | | | (1864) all_205_0 = false
% 75.14/11.12 | | | |
% 75.14/11.12 | | | | REDUCE: (1862), (1864) imply:
% 75.14/11.12 | | | | (1865) ~ (true = false)
% 75.14/11.12 | | | |
% 75.14/11.12 | | | | BETA: splitting (91) gives:
% 75.14/11.12 | | | |
% 75.14/11.12 | | | | Case 1:
% 75.14/11.12 | | | | |
% 75.14/11.12 | | | | | (1866) all_59_1 = 0
% 75.14/11.12 | | | | |
% 75.14/11.12 | | | | | COMBINE_EQS: (184), (1866) imply:
% 75.14/11.12 | | | | | (1867) all_95_2 = 0
% 75.14/11.12 | | | | |
% 75.14/11.12 | | | | | REDUCE: (89), (1866) imply:
% 75.14/11.12 | | | | | (1868) bool(all_42_2) = 0
% 75.14/11.12 | | | | |
% 75.14/11.12 | | | | | BETA: splitting (98) gives:
% 75.14/11.12 | | | | |
% 75.14/11.12 | | | | | Case 1:
% 75.14/11.12 | | | | | |
% 75.14/11.12 | | | | | | (1869) all_63_0 = 0 & all_44_0 = false2
% 75.14/11.12 | | | | | |
% 75.14/11.12 | | | | | | ALPHA: (1869) implies:
% 75.14/11.12 | | | | | | (1870) all_44_0 = false2
% 75.14/11.12 | | | | | |
% 75.14/11.12 | | | | | | REDUCE: (69), (1870) imply:
% 75.14/11.12 | | | | | | (1871) lazy_and1(true, false2) = false2
% 75.14/11.12 | | | | | |
% 75.14/11.12 | | | | | | REDUCE: (83), (1870) imply:
% 75.14/11.12 | | | | | | (1872) lazy_impl(all_55_0, all_44_1) = false2
% 75.14/11.12 | | | | | |
% 75.14/11.12 | | | | | | REDUCE: (1857), (1870) imply:
% 75.14/11.12 | | | | | | (1873) prop(false2) = false
% 75.14/11.12 | | | | | |
% 75.14/11.12 | | | | | | REDUCE: (85), (1870) imply:
% 75.14/11.12 | | | | | | (1874) bool(false2) = all_57_1
% 75.14/11.12 | | | | | |
% 75.14/11.12 | | | | | | GROUND_INST: instantiating (40) with all_95_1, all_57_1, false2,
% 75.14/11.12 | | | | | | simplifying with (166), (1874) gives:
% 75.14/11.12 | | | | | | (1875) all_95_1 = all_57_1
% 75.14/11.12 | | | | | |
% 75.14/11.12 | | | | | | GROUND_INST: instantiating (49) with all_95_0, false2, false2, true,
% 75.14/11.12 | | | | | | simplifying with (192), (1871) gives:
% 75.14/11.12 | | | | | | (1876) all_95_0 = false2
% 75.14/11.12 | | | | | |
% 75.14/11.12 | | | | | | REDUCE: (194), (1876) imply:
% 75.14/11.12 | | | | | | (1877) lazy_impl(true, false2) = false2
% 75.14/11.12 | | | | | |
% 75.14/11.12 | | | | | | REDUCE: (168), (1876) imply:
% 75.14/11.12 | | | | | | (1878) phi(false2) = false2
% 75.14/11.12 | | | | | |
% 75.14/11.12 | | | | | | BETA: splitting (169) gives:
% 75.14/11.12 | | | | | |
% 75.14/11.12 | | | | | | Case 1:
% 75.14/11.12 | | | | | | |
% 75.14/11.12 | | | | | | | (1879) ~ (all_95_2 = 0)
% 75.14/11.12 | | | | | | |
% 75.14/11.12 | | | | | | | REDUCE: (1867), (1879) imply:
% 75.14/11.12 | | | | | | | (1880) $false
% 75.14/11.12 | | | | | | |
% 75.14/11.12 | | | | | | | CLOSE: (1880) is inconsistent.
% 75.14/11.12 | | | | | | |
% 75.14/11.12 | | | | | | Case 2:
% 75.14/11.12 | | | | | | |
% 75.14/11.12 | | | | | | | (1881) all_95_0 = all_42_0 | all_95_1 = 0
% 75.14/11.12 | | | | | | |
% 75.14/11.12 | | | | | | | BETA: splitting (1881) gives:
% 75.14/11.12 | | | | | | |
% 75.14/11.12 | | | | | | | Case 1:
% 75.14/11.12 | | | | | | | |
% 75.14/11.12 | | | | | | | | (1882) all_95_1 = 0
% 75.14/11.12 | | | | | | | |
% 75.14/11.12 | | | | | | | | COMBINE_EQS: (1875), (1882) imply:
% 75.14/11.12 | | | | | | | | (1883) all_57_1 = 0
% 75.14/11.12 | | | | | | | |
% 75.14/11.12 | | | | | | | | SIMP: (1883) implies:
% 75.14/11.12 | | | | | | | | (1884) all_57_1 = 0
% 75.14/11.12 | | | | | | | |
% 75.14/11.12 | | | | | | | | REDUCE: (1856), (1884) imply:
% 75.14/11.12 | | | | | | | | (1885) $false
% 75.14/11.12 | | | | | | | |
% 75.14/11.12 | | | | | | | | CLOSE: (1885) is inconsistent.
% 75.14/11.12 | | | | | | | |
% 75.14/11.12 | | | | | | | Case 2:
% 75.14/11.12 | | | | | | | |
% 75.14/11.12 | | | | | | | | (1886) all_95_0 = all_42_0
% 75.14/11.12 | | | | | | | | (1887) ~ (all_95_1 = 0)
% 75.14/11.12 | | | | | | | |
% 75.14/11.12 | | | | | | | | COMBINE_EQS: (1876), (1886) imply:
% 75.14/11.12 | | | | | | | | (1888) all_42_0 = false2
% 75.14/11.12 | | | | | | | |
% 75.14/11.12 | | | | | | | | REDUCE: (79), (1888) imply:
% 75.14/11.12 | | | | | | | | (1889) impl(all_42_2, false2) = false2
% 75.14/11.12 | | | | | | | |
% 75.14/11.12 | | | | | | | | BETA: splitting (131) gives:
% 75.14/11.12 | | | | | | | |
% 75.14/11.12 | | | | | | | | Case 1:
% 75.14/11.12 | | | | | | | | |
% 75.14/11.12 | | | | | | | | | (1890) bool(all_44_1) = 0
% 75.14/11.12 | | | | | | | | |
% 75.14/11.12 | | | | | | | | | BETA: splitting (130) gives:
% 75.14/11.12 | | | | | | | | |
% 75.14/11.12 | | | | | | | | | Case 1:
% 75.14/11.12 | | | | | | | | | |
% 75.14/11.12 | | | | | | | | | | (1891) all_55_0 = true
% 75.14/11.12 | | | | | | | | | |
% 75.14/11.12 | | | | | | | | | | REDUCE: (198), (1891) imply:
% 75.14/11.12 | | | | | | | | | | (1892) lazy_and1(true, true) = all_87_0
% 75.14/11.12 | | | | | | | | | |
% 75.14/11.12 | | | | | | | | | | REDUCE: (1872), (1891) imply:
% 75.14/11.12 | | | | | | | | | | (1893) lazy_impl(true, all_44_1) = false2
% 75.14/11.12 | | | | | | | | | |
% 75.14/11.12 | | | | | | | | | | REDUCE: (200), (1891) imply:
% 75.14/11.12 | | | | | | | | | | (1894) lazy_impl(true, true) = all_87_0
% 75.14/11.12 | | | | | | | | | |
% 75.14/11.12 | | | | | | | | | | REDUCE: (82), (1891) imply:
% 75.14/11.12 | | | | | | | | | | (1895) prop(all_44_1) = true
% 75.14/11.12 | | | | | | | | | |
% 75.14/11.12 | | | | | | | | | | BETA: splitting (187) gives:
% 75.14/11.12 | | | | | | | | | |
% 75.14/11.12 | | | | | | | | | | Case 1:
% 75.14/11.12 | | | | | | | | | | |
% 75.14/11.12 | | | | | | | | | | | (1896) prop(all_55_0) = false
% 75.14/11.12 | | | | | | | | | | |
% 75.14/11.12 | | | | | | | | | | | REDUCE: (1891), (1896) imply:
% 75.14/11.12 | | | | | | | | | | | (1897) prop(true) = false
% 75.14/11.12 | | | | | | | | | | |
% 75.14/11.12 | | | | | | | | | | | REF_CLOSE: (43), (115), (185), (1897) are inconsistent by
% 75.14/11.12 | | | | | | | | | | | sub-proof #3.
% 75.14/11.12 | | | | | | | | | | |
% 75.14/11.12 | | | | | | | | | | Case 2:
% 75.14/11.12 | | | | | | | | | | |
% 75.14/11.12 | | | | | | | | | | | (1898) ~ (prop(all_55_0) = false)
% 75.14/11.12 | | | | | | | | | | |
% 75.14/11.12 | | | | | | | | | | | REDUCE: (1891), (1898) imply:
% 75.14/11.12 | | | | | | | | | | | (1899) ~ (prop(true) = false)
% 75.14/11.12 | | | | | | | | | | |
% 75.14/11.12 | | | | | | | | | | | GROUND_INST: instantiating (49) with true, all_87_0, true,
% 75.14/11.12 | | | | | | | | | | | true, simplifying with (121), (1892) gives:
% 75.14/11.12 | | | | | | | | | | | (1900) all_87_0 = true
% 75.14/11.12 | | | | | | | | | | |
% 75.14/11.12 | | | | | | | | | | | GROUND_INST: instantiating (21) with all_42_2, simplifying with
% 75.14/11.12 | | | | | | | | | | | (54), (1868) gives:
% 75.14/11.12 | | | | | | | | | | | (1901) impl(true, all_42_2) = all_42_2
% 75.14/11.12 | | | | | | | | | | |
% 75.14/11.12 | | | | | | | | | | | GROUND_INST: instantiating (20) with all_42_2, simplifying with
% 75.14/11.12 | | | | | | | | | | | (54), (1868) gives:
% 75.14/11.12 | | | | | | | | | | | (1902) impl(false, all_42_2) = true
% 75.14/11.12 | | | | | | | | | | |
% 75.14/11.12 | | | | | | | | | | | GROUND_INST: instantiating (14) with all_42_2, simplifying with
% 75.14/11.12 | | | | | | | | | | | (54), (1868) gives:
% 75.14/11.12 | | | | | | | | | | | (1903) prop(all_42_2) = true
% 75.14/11.12 | | | | | | | | | | |
% 75.14/11.12 | | | | | | | | | | | GROUND_INST: instantiating (17) with all_42_2, simplifying with
% 75.14/11.12 | | | | | | | | | | | (54), (1868) gives:
% 75.14/11.12 | | | | | | | | | | | (1904) ? [v0: $i] : ( ~ (v0 = false) & prop(all_42_2) =
% 75.14/11.12 | | | | | | | | | | | v0 & $i(v0))
% 75.14/11.12 | | | | | | | | | | |
% 75.14/11.12 | | | | | | | | | | | GROUND_INST: instantiating (3) with all_44_1, simplifying with
% 75.14/11.12 | | | | | | | | | | | (58), (1890) gives:
% 75.14/11.12 | | | | | | | | | | | (1905) all_44_1 = true | all_44_1 = false
% 75.14/11.12 | | | | | | | | | | |
% 75.14/11.12 | | | | | | | | | | | GROUND_INST: instantiating (21) with all_44_1, simplifying with
% 75.14/11.12 | | | | | | | | | | | (58), (1890) gives:
% 75.14/11.12 | | | | | | | | | | | (1906) impl(true, all_44_1) = all_44_1
% 75.14/11.12 | | | | | | | | | | |
% 75.14/11.12 | | | | | | | | | | | GROUND_INST: instantiating (20) with all_44_1, simplifying with
% 75.14/11.12 | | | | | | | | | | | (58), (1890) gives:
% 75.14/11.12 | | | | | | | | | | | (1907) impl(false, all_44_1) = true
% 75.14/11.12 | | | | | | | | | | |
% 75.14/11.12 | | | | | | | | | | | GROUND_INST: instantiating (29) with false2, false, simplifying
% 75.14/11.12 | | | | | | | | | | | with (71), (1873) gives:
% 75.14/11.12 | | | | | | | | | | | (1908) ? [v0: $i] : (f7(false2) = v0 & lazy_impl(false,
% 75.14/11.12 | | | | | | | | | | | false2) = v0 & $i(v0))
% 75.14/11.12 | | | | | | | | | | |
% 75.14/11.12 | | | | | | | | | | | GROUND_INST: instantiating (25) with all_42_2, all_42_2,
% 75.14/11.12 | | | | | | | | | | | false2, false2, false2, simplifying with (54),
% 75.14/11.12 | | | | | | | | | | | (71), (1889) gives:
% 75.14/11.12 | | | | | | | | | | | (1909) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.14/11.12 | | | | | | | | | | | (f1(all_42_2, all_42_2, false2) = v0 &
% 75.14/11.12 | | | | | | | | | | | lazy_impl(v1, v2) = v0 & impl(false2, false2) =
% 75.14/11.12 | | | | | | | | | | | v2 & prop(false2) = v1 & $i(v2) & $i(v1) &
% 75.14/11.12 | | | | | | | | | | | $i(v0))
% 75.14/11.12 | | | | | | | | | | |
% 75.14/11.12 | | | | | | | | | | | GROUND_INST: instantiating (27) with true, all_42_2, false2,
% 75.14/11.12 | | | | | | | | | | | false2, false2, simplifying with (36), (54), (71),
% 75.14/11.12 | | | | | | | | | | | (1877), (1889) gives:
% 75.14/11.12 | | | | | | | | | | | (1910) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.14/11.12 | | | | | | | | | | | (f2(true, all_42_2, false2) = v0 & lazy_impl(v1,
% 75.14/11.12 | | | | | | | | | | | v2) = v0 & impl(false2, false2) = v2 &
% 75.14/11.12 | | | | | | | | | | | prop(false2) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | GROUND_INST: instantiating (24) with all_44_1, false2,
% 75.14/11.13 | | | | | | | | | | | simplifying with (58), (1893) gives:
% 75.14/11.13 | | | | | | | | | | | (1911) phi(all_44_1) = false2 & $i(false2)
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | ALPHA: (1911) implies:
% 75.14/11.13 | | | | | | | | | | | (1912) phi(all_44_1) = false2
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | DELTA: instantiating (1904) with fresh symbol all_259_0
% 75.14/11.13 | | | | | | | | | | | gives:
% 75.14/11.13 | | | | | | | | | | | (1913) ~ (all_259_0 = false) & prop(all_42_2) =
% 75.14/11.13 | | | | | | | | | | | all_259_0 & $i(all_259_0)
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | ALPHA: (1913) implies:
% 75.14/11.13 | | | | | | | | | | | (1914) $i(all_259_0)
% 75.14/11.13 | | | | | | | | | | | (1915) prop(all_42_2) = all_259_0
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | DELTA: instantiating (1908) with fresh symbol all_261_0
% 75.14/11.13 | | | | | | | | | | | gives:
% 75.14/11.13 | | | | | | | | | | | (1916) f7(false2) = all_261_0 & lazy_impl(false, false2)
% 75.14/11.13 | | | | | | | | | | | = all_261_0 & $i(all_261_0)
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | ALPHA: (1916) implies:
% 75.14/11.13 | | | | | | | | | | | (1917) lazy_impl(false, false2) = all_261_0
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | DELTA: instantiating (1910) with fresh symbols all_263_0,
% 75.14/11.13 | | | | | | | | | | | all_263_1, all_263_2 gives:
% 75.14/11.13 | | | | | | | | | | | (1918) f2(true, all_42_2, false2) = all_263_2 &
% 75.14/11.13 | | | | | | | | | | | lazy_impl(all_263_1, all_263_0) = all_263_2 &
% 75.14/11.13 | | | | | | | | | | | impl(false2, false2) = all_263_0 & prop(false2) =
% 75.14/11.13 | | | | | | | | | | | all_263_1 & $i(all_263_0) & $i(all_263_1) &
% 75.14/11.13 | | | | | | | | | | | $i(all_263_2)
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | ALPHA: (1918) implies:
% 75.14/11.13 | | | | | | | | | | | (1919) $i(all_263_1)
% 75.14/11.13 | | | | | | | | | | | (1920) prop(false2) = all_263_1
% 75.14/11.13 | | | | | | | | | | | (1921) impl(false2, false2) = all_263_0
% 75.14/11.13 | | | | | | | | | | | (1922) lazy_impl(all_263_1, all_263_0) = all_263_2
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | DELTA: instantiating (1909) with fresh symbols all_265_0,
% 75.14/11.13 | | | | | | | | | | | all_265_1, all_265_2 gives:
% 75.14/11.13 | | | | | | | | | | | (1923) f1(all_42_2, all_42_2, false2) = all_265_2 &
% 75.14/11.13 | | | | | | | | | | | lazy_impl(all_265_1, all_265_0) = all_265_2 &
% 75.14/11.13 | | | | | | | | | | | impl(false2, false2) = all_265_0 & prop(false2) =
% 75.14/11.13 | | | | | | | | | | | all_265_1 & $i(all_265_0) & $i(all_265_1) &
% 75.14/11.13 | | | | | | | | | | | $i(all_265_2)
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | ALPHA: (1923) implies:
% 75.14/11.13 | | | | | | | | | | | (1924) prop(false2) = all_265_1
% 75.14/11.13 | | | | | | | | | | | (1925) impl(false2, false2) = all_265_0
% 75.14/11.13 | | | | | | | | | | | (1926) lazy_impl(all_265_1, all_265_0) = all_265_2
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | GROUND_INST: instantiating (43) with false, all_265_1, false2,
% 75.14/11.13 | | | | | | | | | | | simplifying with (1873), (1924) gives:
% 75.14/11.13 | | | | | | | | | | | (1927) all_265_1 = false
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | GROUND_INST: instantiating (43) with all_263_1, all_265_1,
% 75.14/11.13 | | | | | | | | | | | false2, simplifying with (1920), (1924) gives:
% 75.14/11.13 | | | | | | | | | | | (1928) all_265_1 = all_263_1
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | GROUND_INST: instantiating (43) with true, all_259_0, all_42_2,
% 75.14/11.13 | | | | | | | | | | | simplifying with (1903), (1915) gives:
% 75.14/11.13 | | | | | | | | | | | (1929) all_259_0 = true
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | GROUND_INST: instantiating (47) with all_263_0, all_265_0,
% 75.14/11.13 | | | | | | | | | | | false2, false2, simplifying with (1921), (1925)
% 75.14/11.13 | | | | | | | | | | | gives:
% 75.14/11.13 | | | | | | | | | | | (1930) all_265_0 = all_263_0
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | COMBINE_EQS: (1927), (1928) imply:
% 75.14/11.13 | | | | | | | | | | | (1931) all_263_1 = false
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | SIMP: (1931) implies:
% 75.14/11.13 | | | | | | | | | | | (1932) all_263_1 = false
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | REDUCE: (1926), (1927), (1930) imply:
% 75.14/11.13 | | | | | | | | | | | (1933) lazy_impl(false, all_263_0) = all_265_2
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | REDUCE: (1922), (1932) imply:
% 75.14/11.13 | | | | | | | | | | | (1934) lazy_impl(false, all_263_0) = all_263_2
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | GROUND_INST: instantiating (48) with all_263_2, all_265_2,
% 75.14/11.13 | | | | | | | | | | | all_263_0, false, simplifying with (1933), (1934)
% 75.14/11.13 | | | | | | | | | | | gives:
% 75.14/11.13 | | | | | | | | | | | (1935) all_265_2 = all_263_2
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | GROUND_INST: instantiating (26) with all_44_1, false2,
% 75.14/11.13 | | | | | | | | | | | simplifying with (58), (1912) gives:
% 75.14/11.13 | | | | | | | | | | | (1936) lazy_and1(true, all_44_1) = false2 & $i(false2)
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | GROUND_INST: instantiating (25) with true, false, all_42_2,
% 75.14/11.13 | | | | | | | | | | | true, true, simplifying with (35), (36), (54),
% 75.14/11.13 | | | | | | | | | | | (113), (1902) gives:
% 75.14/11.13 | | | | | | | | | | | (1937) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.14/11.13 | | | | | | | | | | | (f1(true, false, all_42_2) = v0 & lazy_impl(v1,
% 75.14/11.13 | | | | | | | | | | | v2) = v0 & impl(true, all_42_2) = v2 &
% 75.14/11.13 | | | | | | | | | | | prop(all_42_2) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | GROUND_INST: instantiating (25) with false, false, all_42_2,
% 75.14/11.13 | | | | | | | | | | | true, true, simplifying with (35), (54), (114),
% 75.14/11.13 | | | | | | | | | | | (1902) gives:
% 75.14/11.13 | | | | | | | | | | | (1938) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.14/11.13 | | | | | | | | | | | (f1(false, false, all_42_2) = v0 & lazy_impl(v1,
% 75.14/11.13 | | | | | | | | | | | v2) = v0 & impl(true, all_42_2) = v2 &
% 75.14/11.13 | | | | | | | | | | | prop(all_42_2) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | GROUND_INST: instantiating (27) with true, false, all_42_2,
% 75.14/11.13 | | | | | | | | | | | true, true, simplifying with (35), (36), (54),
% 75.14/11.13 | | | | | | | | | | | (122), (1902) gives:
% 75.14/11.13 | | | | | | | | | | | (1939) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.14/11.13 | | | | | | | | | | | (f2(true, false, all_42_2) = v0 & lazy_impl(v1,
% 75.14/11.13 | | | | | | | | | | | v2) = v0 & impl(true, all_42_2) = v2 &
% 75.14/11.13 | | | | | | | | | | | prop(all_42_2) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | GROUND_INST: instantiating (25) with true, false, all_44_1,
% 75.14/11.13 | | | | | | | | | | | true, true, simplifying with (35), (36), (58),
% 75.14/11.13 | | | | | | | | | | | (113), (1907) gives:
% 75.14/11.13 | | | | | | | | | | | (1940) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.14/11.13 | | | | | | | | | | | (f1(true, false, all_44_1) = v0 & lazy_impl(v1,
% 75.14/11.13 | | | | | | | | | | | v2) = v0 & impl(true, all_44_1) = v2 &
% 75.14/11.13 | | | | | | | | | | | prop(all_44_1) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | GROUND_INST: instantiating (25) with false, false, all_44_1,
% 75.14/11.13 | | | | | | | | | | | true, true, simplifying with (35), (58), (114),
% 75.14/11.13 | | | | | | | | | | | (1907) gives:
% 75.14/11.13 | | | | | | | | | | | (1941) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.14/11.13 | | | | | | | | | | | (f1(false, false, all_44_1) = v0 & lazy_impl(v1,
% 75.14/11.13 | | | | | | | | | | | v2) = v0 & impl(true, all_44_1) = v2 &
% 75.14/11.13 | | | | | | | | | | | prop(all_44_1) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | GROUND_INST: instantiating (27) with true, false, all_44_1,
% 75.14/11.13 | | | | | | | | | | | true, true, simplifying with (35), (36), (58),
% 75.14/11.13 | | | | | | | | | | | (122), (1907) gives:
% 75.14/11.13 | | | | | | | | | | | (1942) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.14/11.13 | | | | | | | | | | | (f2(true, false, all_44_1) = v0 & lazy_impl(v1,
% 75.14/11.13 | | | | | | | | | | | v2) = v0 & impl(true, all_44_1) = v2 &
% 75.14/11.13 | | | | | | | | | | | prop(all_44_1) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | GROUND_INST: instantiating (25) with false, true, all_42_2,
% 75.14/11.13 | | | | | | | | | | | all_42_2, true, simplifying with (35), (36), (54),
% 75.14/11.13 | | | | | | | | | | | (1901), (1902) gives:
% 75.14/11.13 | | | | | | | | | | | (1943) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.14/11.13 | | | | | | | | | | | (f1(false, true, all_42_2) = v0 & lazy_impl(v1,
% 75.14/11.13 | | | | | | | | | | | v2) = v0 & impl(true, all_42_2) = v2 &
% 75.14/11.13 | | | | | | | | | | | prop(all_42_2) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | GROUND_INST: instantiating (28) with false, false, all_44_1,
% 75.14/11.13 | | | | | | | | | | | true, true, all_44_1, all_44_1, simplifying with
% 75.14/11.13 | | | | | | | | | | | (35), (58), (1906), (1907) gives:
% 75.14/11.13 | | | | | | | | | | | (1944) ? [v0: $i] : ? [v1: $i] : (f3(false, false,
% 75.14/11.13 | | | | | | | | | | | all_44_1) = v0 & lazy_impl(v1, all_44_1) = v0
% 75.14/11.13 | | | | | | | | | | | & prop(all_44_1) = v1 & $i(v1) & $i(v0))
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | GROUND_INST: instantiating (25) with true, true, all_44_1,
% 75.14/11.13 | | | | | | | | | | | all_44_1, all_44_1, simplifying with (36), (58),
% 75.14/11.13 | | | | | | | | | | | (1906) gives:
% 75.14/11.13 | | | | | | | | | | | (1945) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.14/11.13 | | | | | | | | | | | (f1(true, true, all_44_1) = v0 & lazy_impl(v1, v2)
% 75.14/11.13 | | | | | | | | | | | = v0 & impl(all_44_1, all_44_1) = v2 &
% 75.14/11.13 | | | | | | | | | | | prop(all_44_1) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | GROUND_INST: instantiating (25) with false, true, all_44_1,
% 75.14/11.13 | | | | | | | | | | | all_44_1, true, simplifying with (35), (36), (58),
% 75.14/11.13 | | | | | | | | | | | (1906), (1907) gives:
% 75.14/11.13 | | | | | | | | | | | (1946) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.14/11.13 | | | | | | | | | | | (f1(false, true, all_44_1) = v0 & lazy_impl(v1,
% 75.14/11.13 | | | | | | | | | | | v2) = v0 & impl(true, all_44_1) = v2 &
% 75.14/11.13 | | | | | | | | | | | prop(all_44_1) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | GROUND_INST: instantiating (27) with true, true, all_44_1,
% 75.14/11.13 | | | | | | | | | | | all_44_1, false2, simplifying with (36), (58),
% 75.14/11.13 | | | | | | | | | | | (1893), (1906) gives:
% 75.14/11.13 | | | | | | | | | | | (1947) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.14/11.13 | | | | | | | | | | | (f2(true, true, all_44_1) = v0 & lazy_impl(v1, v2)
% 75.14/11.13 | | | | | | | | | | | = v0 & impl(false2, all_44_1) = v2 &
% 75.14/11.13 | | | | | | | | | | | prop(all_44_1) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | GROUND_INST: instantiating (25) with false2, all_42_2, false2,
% 75.14/11.13 | | | | | | | | | | | false2, all_263_0, simplifying with (54), (71),
% 75.14/11.13 | | | | | | | | | | | (1889), (1921) gives:
% 75.14/11.13 | | | | | | | | | | | (1948) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.14/11.13 | | | | | | | | | | | (f1(false2, all_42_2, false2) = v0 & lazy_impl(v1,
% 75.14/11.13 | | | | | | | | | | | v2) = v0 & impl(all_263_0, false2) = v2 &
% 75.14/11.13 | | | | | | | | | | | prop(false2) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | GROUND_INST: instantiating (38) with false2, all_263_0,
% 75.14/11.13 | | | | | | | | | | | simplifying with (71), (1921) gives:
% 75.14/11.13 | | | | | | | | | | | (1949) not2(false2) = all_263_0 & $i(all_263_0)
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | ALPHA: (1949) implies:
% 75.14/11.13 | | | | | | | | | | | (1950) $i(all_263_0)
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | GROUND_INST: instantiating (impl_axiom1) with false2, false2,
% 75.14/11.13 | | | | | | | | | | | all_263_0, simplifying with (71), (1921) gives:
% 75.14/11.13 | | | | | | | | | | | (1951) ? [v0: any] : ? [v1: $i] : (phi(false2) = v1 &
% 75.14/11.13 | | | | | | | | | | | bool(false2) = v0 & $i(v1) & (v1 = all_263_0 |
% 75.14/11.13 | | | | | | | | | | | v0 = 0))
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | GROUND_INST: instantiating (27) with false, all_42_2, false2,
% 75.14/11.13 | | | | | | | | | | | false2, all_261_0, simplifying with (35), (54),
% 75.14/11.13 | | | | | | | | | | | (71), (1889), (1917) gives:
% 75.14/11.13 | | | | | | | | | | | (1952) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.14/11.13 | | | | | | | | | | | (f2(false, all_42_2, false2) = v0 & lazy_impl(v1,
% 75.14/11.13 | | | | | | | | | | | v2) = v0 & impl(all_261_0, false2) = v2 &
% 75.14/11.13 | | | | | | | | | | | prop(false2) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | GROUND_INST: instantiating (22) with false2, all_261_0,
% 75.14/11.13 | | | | | | | | | | | simplifying with (71), (1917) gives:
% 75.14/11.13 | | | | | | | | | | | (1953) all_261_0 = true
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | GROUND_INST: instantiating (27) with false, false2, false2,
% 75.14/11.13 | | | | | | | | | | | all_263_0, all_263_2, simplifying with (35), (71),
% 75.14/11.13 | | | | | | | | | | | (1921), (1934) gives:
% 75.14/11.13 | | | | | | | | | | | (1954) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.14/11.13 | | | | | | | | | | | (f2(false, false2, false2) = v0 & lazy_impl(v1,
% 75.14/11.13 | | | | | | | | | | | v2) = v0 & impl(all_263_2, false2) = v2 &
% 75.14/11.13 | | | | | | | | | | | prop(false2) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | GROUND_INST: instantiating (22) with all_263_0, all_263_2,
% 75.14/11.13 | | | | | | | | | | | simplifying with (1934), (1950) gives:
% 75.14/11.13 | | | | | | | | | | | (1955) all_263_2 = true
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | DELTA: instantiating (1944) with fresh symbols all_303_0,
% 75.14/11.13 | | | | | | | | | | | all_303_1 gives:
% 75.14/11.13 | | | | | | | | | | | (1956) f3(false, false, all_44_1) = all_303_1 &
% 75.14/11.13 | | | | | | | | | | | lazy_impl(all_303_0, all_44_1) = all_303_1 &
% 75.14/11.13 | | | | | | | | | | | prop(all_44_1) = all_303_0 & $i(all_303_0) &
% 75.14/11.13 | | | | | | | | | | | $i(all_303_1)
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | ALPHA: (1956) implies:
% 75.14/11.13 | | | | | | | | | | | (1957) $i(all_303_1)
% 75.14/11.13 | | | | | | | | | | | (1958) prop(all_44_1) = all_303_0
% 75.14/11.13 | | | | | | | | | | | (1959) lazy_impl(all_303_0, all_44_1) = all_303_1
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | DELTA: instantiating (1951) with fresh symbols all_305_0,
% 75.14/11.13 | | | | | | | | | | | all_305_1 gives:
% 75.14/11.13 | | | | | | | | | | | (1960) phi(false2) = all_305_0 & bool(false2) = all_305_1
% 75.14/11.13 | | | | | | | | | | | & $i(all_305_0) & (all_305_0 = all_263_0 |
% 75.14/11.13 | | | | | | | | | | | all_305_1 = 0)
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | ALPHA: (1960) implies:
% 75.14/11.13 | | | | | | | | | | | (1961) bool(false2) = all_305_1
% 75.14/11.13 | | | | | | | | | | | (1962) phi(false2) = all_305_0
% 75.14/11.13 | | | | | | | | | | | (1963) all_305_0 = all_263_0 | all_305_1 = 0
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | DELTA: instantiating (1942) with fresh symbols all_313_0,
% 75.14/11.13 | | | | | | | | | | | all_313_1, all_313_2 gives:
% 75.14/11.13 | | | | | | | | | | | (1964) f2(true, false, all_44_1) = all_313_2 &
% 75.14/11.13 | | | | | | | | | | | lazy_impl(all_313_1, all_313_0) = all_313_2 &
% 75.14/11.13 | | | | | | | | | | | impl(true, all_44_1) = all_313_0 & prop(all_44_1)
% 75.14/11.13 | | | | | | | | | | | = all_313_1 & $i(all_313_0) & $i(all_313_1) &
% 75.14/11.13 | | | | | | | | | | | $i(all_313_2)
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | ALPHA: (1964) implies:
% 75.14/11.13 | | | | | | | | | | | (1965) $i(all_313_0)
% 75.14/11.13 | | | | | | | | | | | (1966) prop(all_44_1) = all_313_1
% 75.14/11.13 | | | | | | | | | | | (1967) impl(true, all_44_1) = all_313_0
% 75.14/11.13 | | | | | | | | | | | (1968) lazy_impl(all_313_1, all_313_0) = all_313_2
% 75.14/11.13 | | | | | | | | | | | (1969) f2(true, false, all_44_1) = all_313_2
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | DELTA: instantiating (1952) with fresh symbols all_315_0,
% 75.14/11.13 | | | | | | | | | | | all_315_1, all_315_2 gives:
% 75.14/11.13 | | | | | | | | | | | (1970) f2(false, all_42_2, false2) = all_315_2 &
% 75.14/11.13 | | | | | | | | | | | lazy_impl(all_315_1, all_315_0) = all_315_2 &
% 75.14/11.13 | | | | | | | | | | | impl(all_261_0, false2) = all_315_0 & prop(false2)
% 75.14/11.13 | | | | | | | | | | | = all_315_1 & $i(all_315_0) & $i(all_315_1) &
% 75.14/11.13 | | | | | | | | | | | $i(all_315_2)
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | ALPHA: (1970) implies:
% 75.14/11.13 | | | | | | | | | | | (1971) $i(all_315_1)
% 75.14/11.13 | | | | | | | | | | | (1972) prop(false2) = all_315_1
% 75.14/11.13 | | | | | | | | | | | (1973) impl(all_261_0, false2) = all_315_0
% 75.14/11.13 | | | | | | | | | | | (1974) lazy_impl(all_315_1, all_315_0) = all_315_2
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | DELTA: instantiating (1947) with fresh symbols all_317_0,
% 75.14/11.13 | | | | | | | | | | | all_317_1, all_317_2 gives:
% 75.14/11.13 | | | | | | | | | | | (1975) f2(true, true, all_44_1) = all_317_2 &
% 75.14/11.13 | | | | | | | | | | | lazy_impl(all_317_1, all_317_0) = all_317_2 &
% 75.14/11.13 | | | | | | | | | | | impl(false2, all_44_1) = all_317_0 &
% 75.14/11.13 | | | | | | | | | | | prop(all_44_1) = all_317_1 & $i(all_317_0) &
% 75.14/11.13 | | | | | | | | | | | $i(all_317_1) & $i(all_317_2)
% 75.14/11.13 | | | | | | | | | | |
% 75.14/11.13 | | | | | | | | | | | ALPHA: (1975) implies:
% 75.14/11.14 | | | | | | | | | | | (1976) prop(all_44_1) = all_317_1
% 75.14/11.14 | | | | | | | | | | | (1977) impl(false2, all_44_1) = all_317_0
% 75.14/11.14 | | | | | | | | | | | (1978) lazy_impl(all_317_1, all_317_0) = all_317_2
% 75.14/11.14 | | | | | | | | | | | (1979) f2(true, true, all_44_1) = all_317_2
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | DELTA: instantiating (1946) with fresh symbols all_319_0,
% 75.14/11.14 | | | | | | | | | | | all_319_1, all_319_2 gives:
% 75.14/11.14 | | | | | | | | | | | (1980) f1(false, true, all_44_1) = all_319_2 &
% 75.14/11.14 | | | | | | | | | | | lazy_impl(all_319_1, all_319_0) = all_319_2 &
% 75.14/11.14 | | | | | | | | | | | impl(true, all_44_1) = all_319_0 & prop(all_44_1)
% 75.14/11.14 | | | | | | | | | | | = all_319_1 & $i(all_319_0) & $i(all_319_1) &
% 75.14/11.14 | | | | | | | | | | | $i(all_319_2)
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | ALPHA: (1980) implies:
% 75.14/11.14 | | | | | | | | | | | (1981) prop(all_44_1) = all_319_1
% 75.14/11.14 | | | | | | | | | | | (1982) impl(true, all_44_1) = all_319_0
% 75.14/11.14 | | | | | | | | | | | (1983) lazy_impl(all_319_1, all_319_0) = all_319_2
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | DELTA: instantiating (1948) with fresh symbols all_321_0,
% 75.14/11.14 | | | | | | | | | | | all_321_1, all_321_2 gives:
% 75.14/11.14 | | | | | | | | | | | (1984) f1(false2, all_42_2, false2) = all_321_2 &
% 75.14/11.14 | | | | | | | | | | | lazy_impl(all_321_1, all_321_0) = all_321_2 &
% 75.14/11.14 | | | | | | | | | | | impl(all_263_0, false2) = all_321_0 & prop(false2)
% 75.14/11.14 | | | | | | | | | | | = all_321_1 & $i(all_321_0) & $i(all_321_1) &
% 75.14/11.14 | | | | | | | | | | | $i(all_321_2)
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | ALPHA: (1984) implies:
% 75.14/11.14 | | | | | | | | | | | (1985) $i(all_321_2)
% 75.14/11.14 | | | | | | | | | | | (1986) prop(false2) = all_321_1
% 75.14/11.14 | | | | | | | | | | | (1987) impl(all_263_0, false2) = all_321_0
% 75.14/11.14 | | | | | | | | | | | (1988) lazy_impl(all_321_1, all_321_0) = all_321_2
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | DELTA: instantiating (1945) with fresh symbols all_325_0,
% 75.14/11.14 | | | | | | | | | | | all_325_1, all_325_2 gives:
% 75.14/11.14 | | | | | | | | | | | (1989) f1(true, true, all_44_1) = all_325_2 &
% 75.14/11.14 | | | | | | | | | | | lazy_impl(all_325_1, all_325_0) = all_325_2 &
% 75.14/11.14 | | | | | | | | | | | impl(all_44_1, all_44_1) = all_325_0 &
% 75.14/11.14 | | | | | | | | | | | prop(all_44_1) = all_325_1 & $i(all_325_0) &
% 75.14/11.14 | | | | | | | | | | | $i(all_325_1) & $i(all_325_2)
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | ALPHA: (1989) implies:
% 75.14/11.14 | | | | | | | | | | | (1990) prop(all_44_1) = all_325_1
% 75.14/11.14 | | | | | | | | | | | (1991) impl(all_44_1, all_44_1) = all_325_0
% 75.14/11.14 | | | | | | | | | | | (1992) lazy_impl(all_325_1, all_325_0) = all_325_2
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | DELTA: instantiating (1937) with fresh symbols all_327_0,
% 75.14/11.14 | | | | | | | | | | | all_327_1, all_327_2 gives:
% 75.14/11.14 | | | | | | | | | | | (1993) f1(true, false, all_42_2) = all_327_2 &
% 75.14/11.14 | | | | | | | | | | | lazy_impl(all_327_1, all_327_0) = all_327_2 &
% 75.14/11.14 | | | | | | | | | | | impl(true, all_42_2) = all_327_0 & prop(all_42_2)
% 75.14/11.14 | | | | | | | | | | | = all_327_1 & $i(all_327_0) & $i(all_327_1) &
% 75.14/11.14 | | | | | | | | | | | $i(all_327_2)
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | ALPHA: (1993) implies:
% 75.14/11.14 | | | | | | | | | | | (1994) $i(all_327_0)
% 75.14/11.14 | | | | | | | | | | | (1995) impl(true, all_42_2) = all_327_0
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | DELTA: instantiating (1954) with fresh symbols all_329_0,
% 75.14/11.14 | | | | | | | | | | | all_329_1, all_329_2 gives:
% 75.14/11.14 | | | | | | | | | | | (1996) f2(false, false2, false2) = all_329_2 &
% 75.14/11.14 | | | | | | | | | | | lazy_impl(all_329_1, all_329_0) = all_329_2 &
% 75.14/11.14 | | | | | | | | | | | impl(all_263_2, false2) = all_329_0 & prop(false2)
% 75.14/11.14 | | | | | | | | | | | = all_329_1 & $i(all_329_0) & $i(all_329_1) &
% 75.14/11.14 | | | | | | | | | | | $i(all_329_2)
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | ALPHA: (1996) implies:
% 75.14/11.14 | | | | | | | | | | | (1997) prop(false2) = all_329_1
% 75.14/11.14 | | | | | | | | | | | (1998) impl(all_263_2, false2) = all_329_0
% 75.14/11.14 | | | | | | | | | | | (1999) lazy_impl(all_329_1, all_329_0) = all_329_2
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | DELTA: instantiating (1943) with fresh symbols all_331_0,
% 75.14/11.14 | | | | | | | | | | | all_331_1, all_331_2 gives:
% 75.14/11.14 | | | | | | | | | | | (2000) f1(false, true, all_42_2) = all_331_2 &
% 75.14/11.14 | | | | | | | | | | | lazy_impl(all_331_1, all_331_0) = all_331_2 &
% 75.14/11.14 | | | | | | | | | | | impl(true, all_42_2) = all_331_0 & prop(all_42_2)
% 75.14/11.14 | | | | | | | | | | | = all_331_1 & $i(all_331_0) & $i(all_331_1) &
% 75.14/11.14 | | | | | | | | | | | $i(all_331_2)
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | ALPHA: (2000) implies:
% 75.14/11.14 | | | | | | | | | | | (2001) impl(true, all_42_2) = all_331_0
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | DELTA: instantiating (1941) with fresh symbols all_335_0,
% 75.14/11.14 | | | | | | | | | | | all_335_1, all_335_2 gives:
% 75.14/11.14 | | | | | | | | | | | (2002) f1(false, false, all_44_1) = all_335_2 &
% 75.14/11.14 | | | | | | | | | | | lazy_impl(all_335_1, all_335_0) = all_335_2 &
% 75.14/11.14 | | | | | | | | | | | impl(true, all_44_1) = all_335_0 & prop(all_44_1)
% 75.14/11.14 | | | | | | | | | | | = all_335_1 & $i(all_335_0) & $i(all_335_1) &
% 75.14/11.14 | | | | | | | | | | | $i(all_335_2)
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | ALPHA: (2002) implies:
% 75.14/11.14 | | | | | | | | | | | (2003) prop(all_44_1) = all_335_1
% 75.14/11.14 | | | | | | | | | | | (2004) impl(true, all_44_1) = all_335_0
% 75.14/11.14 | | | | | | | | | | | (2005) lazy_impl(all_335_1, all_335_0) = all_335_2
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | DELTA: instantiating (1939) with fresh symbols all_337_0,
% 75.14/11.14 | | | | | | | | | | | all_337_1, all_337_2 gives:
% 75.14/11.14 | | | | | | | | | | | (2006) f2(true, false, all_42_2) = all_337_2 &
% 75.14/11.14 | | | | | | | | | | | lazy_impl(all_337_1, all_337_0) = all_337_2 &
% 75.14/11.14 | | | | | | | | | | | impl(true, all_42_2) = all_337_0 & prop(all_42_2)
% 75.14/11.14 | | | | | | | | | | | = all_337_1 & $i(all_337_0) & $i(all_337_1) &
% 75.14/11.14 | | | | | | | | | | | $i(all_337_2)
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | ALPHA: (2006) implies:
% 75.14/11.14 | | | | | | | | | | | (2007) impl(true, all_42_2) = all_337_0
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | DELTA: instantiating (1938) with fresh symbols all_339_0,
% 75.14/11.14 | | | | | | | | | | | all_339_1, all_339_2 gives:
% 75.14/11.14 | | | | | | | | | | | (2008) f1(false, false, all_42_2) = all_339_2 &
% 75.14/11.14 | | | | | | | | | | | lazy_impl(all_339_1, all_339_0) = all_339_2 &
% 75.14/11.14 | | | | | | | | | | | impl(true, all_42_2) = all_339_0 & prop(all_42_2)
% 75.14/11.14 | | | | | | | | | | | = all_339_1 & $i(all_339_0) & $i(all_339_1) &
% 75.14/11.14 | | | | | | | | | | | $i(all_339_2)
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | ALPHA: (2008) implies:
% 75.14/11.14 | | | | | | | | | | | (2009) impl(true, all_42_2) = all_339_0
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | DELTA: instantiating (1940) with fresh symbols all_341_0,
% 75.14/11.14 | | | | | | | | | | | all_341_1, all_341_2 gives:
% 75.14/11.14 | | | | | | | | | | | (2010) f1(true, false, all_44_1) = all_341_2 &
% 75.14/11.14 | | | | | | | | | | | lazy_impl(all_341_1, all_341_0) = all_341_2 &
% 75.14/11.14 | | | | | | | | | | | impl(true, all_44_1) = all_341_0 & prop(all_44_1)
% 75.14/11.14 | | | | | | | | | | | = all_341_1 & $i(all_341_0) & $i(all_341_1) &
% 75.14/11.14 | | | | | | | | | | | $i(all_341_2)
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | ALPHA: (2010) implies:
% 75.14/11.14 | | | | | | | | | | | (2011) prop(all_44_1) = all_341_1
% 75.14/11.14 | | | | | | | | | | | (2012) impl(true, all_44_1) = all_341_0
% 75.14/11.14 | | | | | | | | | | | (2013) lazy_impl(all_341_1, all_341_0) = all_341_2
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | REDUCE: (1934), (1955) imply:
% 75.14/11.14 | | | | | | | | | | | (2014) lazy_impl(false, all_263_0) = true
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | REDUCE: (1955), (1998) imply:
% 75.14/11.14 | | | | | | | | | | | (2015) impl(true, false2) = all_329_0
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | REDUCE: (1953), (1973) imply:
% 75.14/11.14 | | | | | | | | | | | (2016) impl(true, false2) = all_315_0
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | GROUND_INST: instantiating (40) with all_57_1, all_305_1,
% 75.14/11.14 | | | | | | | | | | | false2, simplifying with (1874), (1961) gives:
% 75.14/11.14 | | | | | | | | | | | (2017) all_305_1 = all_57_1
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | GROUND_INST: instantiating (42) with false2, all_305_0, false2,
% 75.14/11.14 | | | | | | | | | | | simplifying with (1878), (1962) gives:
% 75.14/11.14 | | | | | | | | | | | (2018) all_305_0 = false2
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | GROUND_INST: instantiating (43) with all_315_1, all_321_1,
% 75.14/11.14 | | | | | | | | | | | false2, simplifying with (1972), (1986) gives:
% 75.14/11.14 | | | | | | | | | | | (2019) all_321_1 = all_315_1
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | GROUND_INST: instantiating (43) with false, all_329_1, false2,
% 75.14/11.14 | | | | | | | | | | | simplifying with (1873), (1997) gives:
% 75.14/11.14 | | | | | | | | | | | (2020) all_329_1 = false
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | GROUND_INST: instantiating (43) with all_321_1, all_329_1,
% 75.14/11.14 | | | | | | | | | | | false2, simplifying with (1986), (1997) gives:
% 75.14/11.14 | | | | | | | | | | | (2021) all_329_1 = all_321_1
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | GROUND_INST: instantiating (43) with all_313_1, all_325_1,
% 75.14/11.14 | | | | | | | | | | | all_44_1, simplifying with (1966), (1990) gives:
% 75.14/11.14 | | | | | | | | | | | (2022) all_325_1 = all_313_1
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | GROUND_INST: instantiating (43) with all_319_1, all_335_1,
% 75.14/11.14 | | | | | | | | | | | all_44_1, simplifying with (1981), (2003) gives:
% 75.14/11.14 | | | | | | | | | | | (2023) all_335_1 = all_319_1
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | GROUND_INST: instantiating (43) with all_303_0, all_335_1,
% 75.14/11.14 | | | | | | | | | | | all_44_1, simplifying with (1958), (2003) gives:
% 75.14/11.14 | | | | | | | | | | | (2024) all_335_1 = all_303_0
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | GROUND_INST: instantiating (43) with true, all_341_1, all_44_1,
% 75.14/11.14 | | | | | | | | | | | simplifying with (1895), (2011) gives:
% 75.14/11.14 | | | | | | | | | | | (2025) all_341_1 = true
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | GROUND_INST: instantiating (43) with all_325_1, all_341_1,
% 75.14/11.14 | | | | | | | | | | | all_44_1, simplifying with (1990), (2011) gives:
% 75.14/11.14 | | | | | | | | | | | (2026) all_341_1 = all_325_1
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | GROUND_INST: instantiating (43) with all_319_1, all_341_1,
% 75.14/11.14 | | | | | | | | | | | all_44_1, simplifying with (1981), (2011) gives:
% 75.14/11.14 | | | | | | | | | | | (2027) all_341_1 = all_319_1
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | GROUND_INST: instantiating (43) with all_317_1, all_341_1,
% 75.14/11.14 | | | | | | | | | | | all_44_1, simplifying with (1976), (2011) gives:
% 75.14/11.14 | | | | | | | | | | | (2028) all_341_1 = all_317_1
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | GROUND_INST: instantiating (47) with all_315_0, all_329_0,
% 75.14/11.14 | | | | | | | | | | | false2, true, simplifying with (2015), (2016)
% 75.14/11.14 | | | | | | | | | | | gives:
% 75.14/11.14 | | | | | | | | | | | (2029) all_329_0 = all_315_0
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | GROUND_INST: instantiating (47) with all_42_2, all_337_0,
% 75.14/11.14 | | | | | | | | | | | all_42_2, true, simplifying with (1901), (2007)
% 75.14/11.14 | | | | | | | | | | | gives:
% 75.14/11.14 | | | | | | | | | | | (2030) all_337_0 = all_42_2
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | GROUND_INST: instantiating (47) with all_337_0, all_339_0,
% 75.14/11.14 | | | | | | | | | | | all_42_2, true, simplifying with (2007), (2009)
% 75.14/11.14 | | | | | | | | | | | gives:
% 75.14/11.14 | | | | | | | | | | | (2031) all_339_0 = all_337_0
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | GROUND_INST: instantiating (47) with all_331_0, all_339_0,
% 75.14/11.14 | | | | | | | | | | | all_42_2, true, simplifying with (2001), (2009)
% 75.14/11.14 | | | | | | | | | | | gives:
% 75.14/11.14 | | | | | | | | | | | (2032) all_339_0 = all_331_0
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | GROUND_INST: instantiating (47) with all_327_0, all_339_0,
% 75.14/11.14 | | | | | | | | | | | all_42_2, true, simplifying with (1995), (2009)
% 75.14/11.14 | | | | | | | | | | | gives:
% 75.14/11.14 | | | | | | | | | | | (2033) all_339_0 = all_327_0
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | GROUND_INST: instantiating (47) with all_44_1, all_335_0,
% 75.14/11.14 | | | | | | | | | | | all_44_1, true, simplifying with (1906), (2004)
% 75.14/11.14 | | | | | | | | | | | gives:
% 75.14/11.14 | | | | | | | | | | | (2034) all_335_0 = all_44_1
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | GROUND_INST: instantiating (47) with all_319_0, all_335_0,
% 75.14/11.14 | | | | | | | | | | | all_44_1, true, simplifying with (1982), (2004)
% 75.14/11.14 | | | | | | | | | | | gives:
% 75.14/11.14 | | | | | | | | | | | (2035) all_335_0 = all_319_0
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | GROUND_INST: instantiating (47) with all_319_0, all_341_0,
% 75.14/11.14 | | | | | | | | | | | all_44_1, true, simplifying with (1982), (2012)
% 75.14/11.14 | | | | | | | | | | | gives:
% 75.14/11.14 | | | | | | | | | | | (2036) all_341_0 = all_319_0
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | GROUND_INST: instantiating (47) with all_313_0, all_341_0,
% 75.14/11.14 | | | | | | | | | | | all_44_1, true, simplifying with (1967), (2012)
% 75.14/11.14 | | | | | | | | | | | gives:
% 75.14/11.14 | | | | | | | | | | | (2037) all_341_0 = all_313_0
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | COMBINE_EQS: (2036), (2037) imply:
% 75.14/11.14 | | | | | | | | | | | (2038) all_319_0 = all_313_0
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | SIMP: (2038) implies:
% 75.14/11.14 | | | | | | | | | | | (2039) all_319_0 = all_313_0
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | COMBINE_EQS: (2025), (2028) imply:
% 75.14/11.14 | | | | | | | | | | | (2040) all_317_1 = true
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | COMBINE_EQS: (2027), (2028) imply:
% 75.14/11.14 | | | | | | | | | | | (2041) all_319_1 = all_317_1
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | SIMP: (2041) implies:
% 75.14/11.14 | | | | | | | | | | | (2042) all_319_1 = all_317_1
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | COMBINE_EQS: (2026), (2028) imply:
% 75.14/11.14 | | | | | | | | | | | (2043) all_325_1 = all_317_1
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | SIMP: (2043) implies:
% 75.14/11.14 | | | | | | | | | | | (2044) all_325_1 = all_317_1
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | COMBINE_EQS: (2031), (2032) imply:
% 75.14/11.14 | | | | | | | | | | | (2045) all_337_0 = all_331_0
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | SIMP: (2045) implies:
% 75.14/11.14 | | | | | | | | | | | (2046) all_337_0 = all_331_0
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | COMBINE_EQS: (2032), (2033) imply:
% 75.14/11.14 | | | | | | | | | | | (2047) all_331_0 = all_327_0
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | COMBINE_EQS: (2030), (2046) imply:
% 75.14/11.14 | | | | | | | | | | | (2048) all_331_0 = all_42_2
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | SIMP: (2048) implies:
% 75.14/11.14 | | | | | | | | | | | (2049) all_331_0 = all_42_2
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | COMBINE_EQS: (2034), (2035) imply:
% 75.14/11.14 | | | | | | | | | | | (2050) all_319_0 = all_44_1
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | SIMP: (2050) implies:
% 75.14/11.14 | | | | | | | | | | | (2051) all_319_0 = all_44_1
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | COMBINE_EQS: (2023), (2024) imply:
% 75.14/11.14 | | | | | | | | | | | (2052) all_319_1 = all_303_0
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | SIMP: (2052) implies:
% 75.14/11.14 | | | | | | | | | | | (2053) all_319_1 = all_303_0
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | COMBINE_EQS: (2047), (2049) imply:
% 75.14/11.14 | | | | | | | | | | | (2054) all_327_0 = all_42_2
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | SIMP: (2054) implies:
% 75.14/11.14 | | | | | | | | | | | (2055) all_327_0 = all_42_2
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | COMBINE_EQS: (2020), (2021) imply:
% 75.14/11.14 | | | | | | | | | | | (2056) all_321_1 = false
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | SIMP: (2056) implies:
% 75.14/11.14 | | | | | | | | | | | (2057) all_321_1 = false
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | COMBINE_EQS: (2022), (2044) imply:
% 75.14/11.14 | | | | | | | | | | | (2058) all_317_1 = all_313_1
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | SIMP: (2058) implies:
% 75.14/11.14 | | | | | | | | | | | (2059) all_317_1 = all_313_1
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | COMBINE_EQS: (2019), (2057) imply:
% 75.14/11.14 | | | | | | | | | | | (2060) all_315_1 = false
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | SIMP: (2060) implies:
% 75.14/11.14 | | | | | | | | | | | (2061) all_315_1 = false
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | COMBINE_EQS: (2039), (2051) imply:
% 75.14/11.14 | | | | | | | | | | | (2062) all_313_0 = all_44_1
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | COMBINE_EQS: (2042), (2053) imply:
% 75.14/11.14 | | | | | | | | | | | (2063) all_317_1 = all_303_0
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | SIMP: (2063) implies:
% 75.14/11.14 | | | | | | | | | | | (2064) all_317_1 = all_303_0
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | COMBINE_EQS: (2040), (2059) imply:
% 75.14/11.14 | | | | | | | | | | | (2065) all_313_1 = true
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | COMBINE_EQS: (2059), (2064) imply:
% 75.14/11.14 | | | | | | | | | | | (2066) all_313_1 = all_303_0
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | COMBINE_EQS: (2065), (2066) imply:
% 75.14/11.14 | | | | | | | | | | | (2067) all_303_0 = true
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | COMBINE_EQS: (2053), (2067) imply:
% 75.14/11.14 | | | | | | | | | | | (2068) all_319_1 = true
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | COMBINE_EQS: (2022), (2065) imply:
% 75.14/11.14 | | | | | | | | | | | (2069) all_325_1 = true
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | COMBINE_EQS: (2024), (2067) imply:
% 75.14/11.14 | | | | | | | | | | | (2070) all_335_1 = true
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | COMBINE_EQS: (2037), (2062) imply:
% 75.14/11.14 | | | | | | | | | | | (2071) all_341_0 = all_44_1
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | REDUCE: (2013), (2025), (2071) imply:
% 75.14/11.14 | | | | | | | | | | | (2072) lazy_impl(true, all_44_1) = all_341_2
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | REDUCE: (2005), (2034), (2070) imply:
% 75.14/11.14 | | | | | | | | | | | (2073) lazy_impl(true, all_44_1) = all_335_2
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | REDUCE: (1999), (2020), (2029) imply:
% 75.14/11.14 | | | | | | | | | | | (2074) lazy_impl(false, all_315_0) = all_329_2
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | REDUCE: (1992), (2069) imply:
% 75.14/11.14 | | | | | | | | | | | (2075) lazy_impl(true, all_325_0) = all_325_2
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | REDUCE: (1988), (2057) imply:
% 75.14/11.14 | | | | | | | | | | | (2076) lazy_impl(false, all_321_0) = all_321_2
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | REDUCE: (1983), (2051), (2068) imply:
% 75.14/11.14 | | | | | | | | | | | (2077) lazy_impl(true, all_44_1) = all_319_2
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | REDUCE: (1978), (2040) imply:
% 75.14/11.14 | | | | | | | | | | | (2078) lazy_impl(true, all_317_0) = all_317_2
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | REDUCE: (1974), (2061) imply:
% 75.14/11.14 | | | | | | | | | | | (2079) lazy_impl(false, all_315_0) = all_315_2
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | REDUCE: (1968), (2062), (2065) imply:
% 75.14/11.14 | | | | | | | | | | | (2080) lazy_impl(true, all_44_1) = all_313_2
% 75.14/11.14 | | | | | | | | | | |
% 75.14/11.14 | | | | | | | | | | | REDUCE: (1959), (2067) imply:
% 75.14/11.15 | | | | | | | | | | | (2081) lazy_impl(true, all_44_1) = all_303_1
% 75.14/11.15 | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | BETA: splitting (1963) gives:
% 75.14/11.15 | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | Case 1:
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | (2082) all_305_1 = 0
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | COMBINE_EQS: (2017), (2082) imply:
% 75.14/11.15 | | | | | | | | | | | | (2083) all_57_1 = 0
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | SIMP: (2083) implies:
% 75.14/11.15 | | | | | | | | | | | | (2084) all_57_1 = 0
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | REDUCE: (1856), (2084) imply:
% 75.14/11.15 | | | | | | | | | | | | (2085) $false
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | CLOSE: (2085) is inconsistent.
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | Case 2:
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | (2086) all_305_0 = all_263_0
% 75.14/11.15 | | | | | | | | | | | | (2087) ~ (all_305_1 = 0)
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | COMBINE_EQS: (2018), (2086) imply:
% 75.14/11.15 | | | | | | | | | | | | (2088) all_263_0 = false2
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | REDUCE: (2014), (2088) imply:
% 75.14/11.15 | | | | | | | | | | | | (2089) lazy_impl(false, false2) = true
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | REDUCE: (1987), (2088) imply:
% 75.14/11.15 | | | | | | | | | | | | (2090) impl(false2, false2) = all_321_0
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | REDUCE: (1921), (2088) imply:
% 75.14/11.15 | | | | | | | | | | | | (2091) impl(false2, false2) = false2
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | GROUND_INST: instantiating (47) with false2, all_321_0, false2,
% 75.14/11.15 | | | | | | | | | | | | false2, simplifying with (2090), (2091) gives:
% 75.14/11.15 | | | | | | | | | | | | (2092) all_321_0 = false2
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_315_2, all_329_2,
% 75.14/11.15 | | | | | | | | | | | | all_315_0, false, simplifying with (2074), (2079)
% 75.14/11.15 | | | | | | | | | | | | gives:
% 75.14/11.15 | | | | | | | | | | | | (2093) all_329_2 = all_315_2
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | GROUND_INST: instantiating (48) with false2, all_319_2,
% 75.14/11.15 | | | | | | | | | | | | all_44_1, true, simplifying with (1893), (2077)
% 75.14/11.15 | | | | | | | | | | | | gives:
% 75.14/11.15 | | | | | | | | | | | | (2094) all_319_2 = false2
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_313_2, all_319_2,
% 75.14/11.15 | | | | | | | | | | | | all_44_1, true, simplifying with (2077), (2080)
% 75.14/11.15 | | | | | | | | | | | | gives:
% 75.14/11.15 | | | | | | | | | | | | (2095) all_319_2 = all_313_2
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_319_2, all_335_2,
% 75.14/11.15 | | | | | | | | | | | | all_44_1, true, simplifying with (2073), (2077)
% 75.14/11.15 | | | | | | | | | | | | gives:
% 75.14/11.15 | | | | | | | | | | | | (2096) all_335_2 = all_319_2
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_335_2, all_341_2,
% 75.14/11.15 | | | | | | | | | | | | all_44_1, true, simplifying with (2072), (2073)
% 75.14/11.15 | | | | | | | | | | | | gives:
% 75.14/11.15 | | | | | | | | | | | | (2097) all_341_2 = all_335_2
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_303_1, all_341_2,
% 75.14/11.15 | | | | | | | | | | | | all_44_1, true, simplifying with (2072), (2081)
% 75.14/11.15 | | | | | | | | | | | | gives:
% 75.14/11.15 | | | | | | | | | | | | (2098) all_341_2 = all_303_1
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | COMBINE_EQS: (2097), (2098) imply:
% 75.14/11.15 | | | | | | | | | | | | (2099) all_335_2 = all_303_1
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | SIMP: (2099) implies:
% 75.14/11.15 | | | | | | | | | | | | (2100) all_335_2 = all_303_1
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | COMBINE_EQS: (2096), (2100) imply:
% 75.14/11.15 | | | | | | | | | | | | (2101) all_319_2 = all_303_1
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | SIMP: (2101) implies:
% 75.14/11.15 | | | | | | | | | | | | (2102) all_319_2 = all_303_1
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | COMBINE_EQS: (2094), (2095) imply:
% 75.14/11.15 | | | | | | | | | | | | (2103) all_313_2 = false2
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | COMBINE_EQS: (2095), (2102) imply:
% 75.14/11.15 | | | | | | | | | | | | (2104) all_313_2 = all_303_1
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | COMBINE_EQS: (2103), (2104) imply:
% 75.14/11.15 | | | | | | | | | | | | (2105) all_303_1 = false2
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | REDUCE: (1969), (2103) imply:
% 75.14/11.15 | | | | | | | | | | | | (2106) f2(true, false, all_44_1) = false2
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | REDUCE: (2076), (2092) imply:
% 75.14/11.15 | | | | | | | | | | | | (2107) lazy_impl(false, false2) = all_321_2
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | GROUND_INST: instantiating (48) with true, all_321_2, false2,
% 75.14/11.15 | | | | | | | | | | | | false, simplifying with (2089), (2107) gives:
% 75.14/11.15 | | | | | | | | | | | | (2108) all_321_2 = true
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | GROUND_INST: instantiating (25) with true, all_42_2, false2,
% 75.14/11.15 | | | | | | | | | | | | false2, all_315_0, simplifying with (36), (54),
% 75.14/11.15 | | | | | | | | | | | | (71), (1889), (2016) gives:
% 75.14/11.15 | | | | | | | | | | | | (2109) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.14/11.15 | | | | | | | | | | | | (f1(true, all_42_2, false2) = v0 & lazy_impl(v1,
% 75.14/11.15 | | | | | | | | | | | | v2) = v0 & impl(all_315_0, false2) = v2 &
% 75.14/11.15 | | | | | | | | | | | | prop(false2) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | GROUND_INST: instantiating (impl_axiom2) with true, false2,
% 75.14/11.15 | | | | | | | | | | | | all_315_0, simplifying with (36), (71), (2016)
% 75.14/11.15 | | | | | | | | | | | | gives:
% 75.14/11.15 | | | | | | | | | | | | (2110) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 75.14/11.15 | | | | | | | | | | | | (phi(false2) = v2 & bool(false2) = v1 & bool(true)
% 75.14/11.15 | | | | | | | | | | | | = v0 & $i(v2) & ( ~ (v0 = 0) | v2 = all_315_0 |
% 75.14/11.15 | | | | | | | | | | | | v1 = 0))
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_42_2, false2, false2,
% 75.14/11.15 | | | | | | | | | | | | false2, false2, simplifying with (54), (71),
% 75.14/11.15 | | | | | | | | | | | | (1889), (2091) gives:
% 75.14/11.15 | | | | | | | | | | | | (2111) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.14/11.15 | | | | | | | | | | | | (f1(all_42_2, false2, false2) = v0 & lazy_impl(v1,
% 75.14/11.15 | | | | | | | | | | | | v2) = v0 & impl(false2, false2) = v2 &
% 75.14/11.15 | | | | | | | | | | | | prop(false2) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_42_2, all_42_2,
% 75.14/11.15 | | | | | | | | | | | | false2, false2, false2, false2, false2,
% 75.14/11.15 | | | | | | | | | | | | simplifying with (54), (71), (1889), (2091) gives:
% 75.14/11.15 | | | | | | | | | | | | (2112) ? [v0: $i] : ? [v1: $i] : (f3(all_42_2,
% 75.14/11.15 | | | | | | | | | | | | all_42_2, false2) = v0 & lazy_impl(v1, false2)
% 75.14/11.15 | | | | | | | | | | | | = v0 & prop(false2) = v1 & $i(v1) & $i(v0))
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | GROUND_INST: instantiating (28) with false2, all_42_2, false2,
% 75.14/11.15 | | | | | | | | | | | | false2, false2, false2, false2, simplifying with
% 75.14/11.15 | | | | | | | | | | | | (54), (71), (1889), (2091) gives:
% 75.14/11.15 | | | | | | | | | | | | (2113) ? [v0: $i] : ? [v1: $i] : (f3(false2, all_42_2,
% 75.14/11.15 | | | | | | | | | | | | false2) = v0 & lazy_impl(v1, false2) = v0 &
% 75.14/11.15 | | | | | | | | | | | | prop(false2) = v1 & $i(v1) & $i(v0))
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_42_2, false2, false2,
% 75.14/11.15 | | | | | | | | | | | | false2, false2, false2, false2, simplifying with
% 75.14/11.15 | | | | | | | | | | | | (54), (71), (1889), (2091) gives:
% 75.14/11.15 | | | | | | | | | | | | (2114) ? [v0: $i] : ? [v1: $i] : (f3(all_42_2, false2,
% 75.14/11.15 | | | | | | | | | | | | false2) = v0 & lazy_impl(v1, false2) = v0 &
% 75.14/11.15 | | | | | | | | | | | | prop(false2) = v1 & $i(v1) & $i(v0))
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | GROUND_INST: instantiating (28) with false2, false2, false2,
% 75.14/11.15 | | | | | | | | | | | | false2, false2, false2, false2, simplifying with
% 75.14/11.15 | | | | | | | | | | | | (71), (2091) gives:
% 75.14/11.15 | | | | | | | | | | | | (2115) ? [v0: $i] : ? [v1: $i] : (f3(false2, false2,
% 75.14/11.15 | | | | | | | | | | | | false2) = v0 & lazy_impl(v1, false2) = v0 &
% 75.14/11.15 | | | | | | | | | | | | prop(false2) = v1 & $i(v1) & $i(v0))
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | GROUND_INST: instantiating (25) with false2, false2, false2,
% 75.14/11.15 | | | | | | | | | | | | false2, false2, simplifying with (71), (2091)
% 75.14/11.15 | | | | | | | | | | | | gives:
% 75.14/11.15 | | | | | | | | | | | | (2116) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.14/11.15 | | | | | | | | | | | | (f1(false2, false2, false2) = v0 & lazy_impl(v1,
% 75.14/11.15 | | | | | | | | | | | | v2) = v0 & impl(false2, false2) = v2 &
% 75.14/11.15 | | | | | | | | | | | | prop(false2) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | GROUND_INST: instantiating (25) with true, false2, false2,
% 75.14/11.15 | | | | | | | | | | | | false2, all_315_0, simplifying with (36), (71),
% 75.14/11.15 | | | | | | | | | | | | (2016), (2091) gives:
% 75.14/11.15 | | | | | | | | | | | | (2117) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.14/11.15 | | | | | | | | | | | | (f1(true, false2, false2) = v0 & lazy_impl(v1, v2)
% 75.14/11.15 | | | | | | | | | | | | = v0 & impl(all_315_0, false2) = v2 &
% 75.14/11.15 | | | | | | | | | | | | prop(false2) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | GROUND_INST: instantiating (27) with true, false2, false2,
% 75.14/11.15 | | | | | | | | | | | | false2, false2, simplifying with (36), (71),
% 75.14/11.15 | | | | | | | | | | | | (1877), (2091) gives:
% 75.14/11.15 | | | | | | | | | | | | (2118) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.14/11.15 | | | | | | | | | | | | (f2(true, false2, false2) = v0 & lazy_impl(v1, v2)
% 75.14/11.15 | | | | | | | | | | | | = v0 & impl(false2, false2) = v2 & prop(false2)
% 75.14/11.15 | | | | | | | | | | | | = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | GROUND_INST: instantiating (impl_axiom1) with false2, all_44_1,
% 75.14/11.15 | | | | | | | | | | | | all_317_0, simplifying with (58), (71), (1977)
% 75.14/11.15 | | | | | | | | | | | | gives:
% 75.14/11.15 | | | | | | | | | | | | (2119) ? [v0: any] : ? [v1: $i] : (phi(false2) = v1 &
% 75.14/11.15 | | | | | | | | | | | | bool(false2) = v0 & $i(v1) & (v1 = all_317_0 |
% 75.14/11.15 | | | | | | | | | | | | v0 = 0))
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | GROUND_INST: instantiating (27) with false, true, false2,
% 75.14/11.15 | | | | | | | | | | | | all_315_0, all_315_2, simplifying with (35), (36),
% 75.14/11.15 | | | | | | | | | | | | (71), (2016), (2079) gives:
% 75.14/11.15 | | | | | | | | | | | | (2120) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.14/11.15 | | | | | | | | | | | | (f2(false, true, false2) = v0 & lazy_impl(v1, v2)
% 75.14/11.15 | | | | | | | | | | | | = v0 & impl(all_315_2, false2) = v2 &
% 75.14/11.15 | | | | | | | | | | | | prop(false2) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | GROUND_INST: instantiating (27) with true, all_44_1, all_44_1,
% 75.14/11.15 | | | | | | | | | | | | all_325_0, all_325_2, simplifying with (36), (58),
% 75.14/11.15 | | | | | | | | | | | | (1991), (2075) gives:
% 75.14/11.15 | | | | | | | | | | | | (2121) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.14/11.15 | | | | | | | | | | | | (f2(true, all_44_1, all_44_1) = v0 & lazy_impl(v1,
% 75.14/11.15 | | | | | | | | | | | | v2) = v0 & impl(all_325_2, all_44_1) = v2 &
% 75.14/11.15 | | | | | | | | | | | | prop(all_44_1) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | DELTA: instantiating (2119) with fresh symbols all_371_0,
% 75.14/11.15 | | | | | | | | | | | | all_371_1 gives:
% 75.14/11.15 | | | | | | | | | | | | (2122) phi(false2) = all_371_0 & bool(false2) = all_371_1
% 75.14/11.15 | | | | | | | | | | | | & $i(all_371_0) & (all_371_0 = all_317_0 |
% 75.14/11.15 | | | | | | | | | | | | all_371_1 = 0)
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | ALPHA: (2122) implies:
% 75.14/11.15 | | | | | | | | | | | | (2123) bool(false2) = all_371_1
% 75.14/11.15 | | | | | | | | | | | | (2124) phi(false2) = all_371_0
% 75.14/11.15 | | | | | | | | | | | | (2125) all_371_0 = all_317_0 | all_371_1 = 0
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | DELTA: instantiating (2115) with fresh symbols all_375_0,
% 75.14/11.15 | | | | | | | | | | | | all_375_1 gives:
% 75.14/11.15 | | | | | | | | | | | | (2126) f3(false2, false2, false2) = all_375_1 &
% 75.14/11.15 | | | | | | | | | | | | lazy_impl(all_375_0, false2) = all_375_1 &
% 75.14/11.15 | | | | | | | | | | | | prop(false2) = all_375_0 & $i(all_375_0) &
% 75.14/11.15 | | | | | | | | | | | | $i(all_375_1)
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | ALPHA: (2126) implies:
% 75.14/11.15 | | | | | | | | | | | | (2127) prop(false2) = all_375_0
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | DELTA: instantiating (2112) with fresh symbols all_377_0,
% 75.14/11.15 | | | | | | | | | | | | all_377_1 gives:
% 75.14/11.15 | | | | | | | | | | | | (2128) f3(all_42_2, all_42_2, false2) = all_377_1 &
% 75.14/11.15 | | | | | | | | | | | | lazy_impl(all_377_0, false2) = all_377_1 &
% 75.14/11.15 | | | | | | | | | | | | prop(false2) = all_377_0 & $i(all_377_0) &
% 75.14/11.15 | | | | | | | | | | | | $i(all_377_1)
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | ALPHA: (2128) implies:
% 75.14/11.15 | | | | | | | | | | | | (2129) prop(false2) = all_377_0
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | DELTA: instantiating (2114) with fresh symbols all_381_0,
% 75.14/11.15 | | | | | | | | | | | | all_381_1 gives:
% 75.14/11.15 | | | | | | | | | | | | (2130) f3(all_42_2, false2, false2) = all_381_1 &
% 75.14/11.15 | | | | | | | | | | | | lazy_impl(all_381_0, false2) = all_381_1 &
% 75.14/11.15 | | | | | | | | | | | | prop(false2) = all_381_0 & $i(all_381_0) &
% 75.14/11.15 | | | | | | | | | | | | $i(all_381_1)
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | ALPHA: (2130) implies:
% 75.14/11.15 | | | | | | | | | | | | (2131) prop(false2) = all_381_0
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | DELTA: instantiating (2113) with fresh symbols all_383_0,
% 75.14/11.15 | | | | | | | | | | | | all_383_1 gives:
% 75.14/11.15 | | | | | | | | | | | | (2132) f3(false2, all_42_2, false2) = all_383_1 &
% 75.14/11.15 | | | | | | | | | | | | lazy_impl(all_383_0, false2) = all_383_1 &
% 75.14/11.15 | | | | | | | | | | | | prop(false2) = all_383_0 & $i(all_383_0) &
% 75.14/11.15 | | | | | | | | | | | | $i(all_383_1)
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | ALPHA: (2132) implies:
% 75.14/11.15 | | | | | | | | | | | | (2133) prop(false2) = all_383_0
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | DELTA: instantiating (2109) with fresh symbols all_387_0,
% 75.14/11.15 | | | | | | | | | | | | all_387_1, all_387_2 gives:
% 75.14/11.15 | | | | | | | | | | | | (2134) f1(true, all_42_2, false2) = all_387_2 &
% 75.14/11.15 | | | | | | | | | | | | lazy_impl(all_387_1, all_387_0) = all_387_2 &
% 75.14/11.15 | | | | | | | | | | | | impl(all_315_0, false2) = all_387_0 & prop(false2)
% 75.14/11.15 | | | | | | | | | | | | = all_387_1 & $i(all_387_0) & $i(all_387_1) &
% 75.14/11.15 | | | | | | | | | | | | $i(all_387_2)
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | ALPHA: (2134) implies:
% 75.14/11.15 | | | | | | | | | | | | (2135) prop(false2) = all_387_1
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | DELTA: instantiating (2121) with fresh symbols all_389_0,
% 75.14/11.15 | | | | | | | | | | | | all_389_1, all_389_2 gives:
% 75.14/11.15 | | | | | | | | | | | | (2136) f2(true, all_44_1, all_44_1) = all_389_2 &
% 75.14/11.15 | | | | | | | | | | | | lazy_impl(all_389_1, all_389_0) = all_389_2 &
% 75.14/11.15 | | | | | | | | | | | | impl(all_325_2, all_44_1) = all_389_0 &
% 75.14/11.15 | | | | | | | | | | | | prop(all_44_1) = all_389_1 & $i(all_389_0) &
% 75.14/11.15 | | | | | | | | | | | | $i(all_389_1) & $i(all_389_2)
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | ALPHA: (2136) implies:
% 75.14/11.15 | | | | | | | | | | | | (2137) f2(true, all_44_1, all_44_1) = all_389_2
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | DELTA: instantiating (2116) with fresh symbols all_393_0,
% 75.14/11.15 | | | | | | | | | | | | all_393_1, all_393_2 gives:
% 75.14/11.15 | | | | | | | | | | | | (2138) f1(false2, false2, false2) = all_393_2 &
% 75.14/11.15 | | | | | | | | | | | | lazy_impl(all_393_1, all_393_0) = all_393_2 &
% 75.14/11.15 | | | | | | | | | | | | impl(false2, false2) = all_393_0 & prop(false2) =
% 75.14/11.15 | | | | | | | | | | | | all_393_1 & $i(all_393_0) & $i(all_393_1) &
% 75.14/11.15 | | | | | | | | | | | | $i(all_393_2)
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | ALPHA: (2138) implies:
% 75.14/11.15 | | | | | | | | | | | | (2139) prop(false2) = all_393_1
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | DELTA: instantiating (2110) with fresh symbols all_395_0,
% 75.14/11.15 | | | | | | | | | | | | all_395_1, all_395_2 gives:
% 75.14/11.15 | | | | | | | | | | | | (2140) phi(false2) = all_395_0 & bool(false2) = all_395_1
% 75.14/11.15 | | | | | | | | | | | | & bool(true) = all_395_2 & $i(all_395_0) & ( ~
% 75.14/11.15 | | | | | | | | | | | | (all_395_2 = 0) | all_395_0 = all_315_0 |
% 75.14/11.15 | | | | | | | | | | | | all_395_1 = 0)
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | ALPHA: (2140) implies:
% 75.14/11.15 | | | | | | | | | | | | (2141) bool(false2) = all_395_1
% 75.14/11.15 | | | | | | | | | | | | (2142) phi(false2) = all_395_0
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | DELTA: instantiating (2120) with fresh symbols all_399_0,
% 75.14/11.15 | | | | | | | | | | | | all_399_1, all_399_2 gives:
% 75.14/11.15 | | | | | | | | | | | | (2143) f2(false, true, false2) = all_399_2 &
% 75.14/11.15 | | | | | | | | | | | | lazy_impl(all_399_1, all_399_0) = all_399_2 &
% 75.14/11.15 | | | | | | | | | | | | impl(all_315_2, false2) = all_399_0 & prop(false2)
% 75.14/11.15 | | | | | | | | | | | | = all_399_1 & $i(all_399_0) & $i(all_399_1) &
% 75.14/11.15 | | | | | | | | | | | | $i(all_399_2)
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | ALPHA: (2143) implies:
% 75.14/11.15 | | | | | | | | | | | | (2144) prop(false2) = all_399_1
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | DELTA: instantiating (2111) with fresh symbols all_403_0,
% 75.14/11.15 | | | | | | | | | | | | all_403_1, all_403_2 gives:
% 75.14/11.15 | | | | | | | | | | | | (2145) f1(all_42_2, false2, false2) = all_403_2 &
% 75.14/11.15 | | | | | | | | | | | | lazy_impl(all_403_1, all_403_0) = all_403_2 &
% 75.14/11.15 | | | | | | | | | | | | impl(false2, false2) = all_403_0 & prop(false2) =
% 75.14/11.15 | | | | | | | | | | | | all_403_1 & $i(all_403_0) & $i(all_403_1) &
% 75.14/11.15 | | | | | | | | | | | | $i(all_403_2)
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | ALPHA: (2145) implies:
% 75.14/11.15 | | | | | | | | | | | | (2146) prop(false2) = all_403_1
% 75.14/11.15 | | | | | | | | | | | |
% 75.14/11.15 | | | | | | | | | | | | DELTA: instantiating (2118) with fresh symbols all_405_0,
% 75.14/11.15 | | | | | | | | | | | | all_405_1, all_405_2 gives:
% 75.14/11.16 | | | | | | | | | | | | (2147) f2(true, false2, false2) = all_405_2 &
% 75.14/11.16 | | | | | | | | | | | | lazy_impl(all_405_1, all_405_0) = all_405_2 &
% 75.14/11.16 | | | | | | | | | | | | impl(false2, false2) = all_405_0 & prop(false2) =
% 75.14/11.16 | | | | | | | | | | | | all_405_1 & $i(all_405_0) & $i(all_405_1) &
% 75.14/11.16 | | | | | | | | | | | | $i(all_405_2)
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | ALPHA: (2147) implies:
% 75.14/11.16 | | | | | | | | | | | | (2148) prop(false2) = all_405_1
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | DELTA: instantiating (2117) with fresh symbols all_413_0,
% 75.14/11.16 | | | | | | | | | | | | all_413_1, all_413_2 gives:
% 75.14/11.16 | | | | | | | | | | | | (2149) f1(true, false2, false2) = all_413_2 &
% 75.14/11.16 | | | | | | | | | | | | lazy_impl(all_413_1, all_413_0) = all_413_2 &
% 75.14/11.16 | | | | | | | | | | | | impl(all_315_0, false2) = all_413_0 & prop(false2)
% 75.14/11.16 | | | | | | | | | | | | = all_413_1 & $i(all_413_0) & $i(all_413_1) &
% 75.14/11.16 | | | | | | | | | | | | $i(all_413_2)
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | ALPHA: (2149) implies:
% 75.14/11.16 | | | | | | | | | | | | (2150) prop(false2) = all_413_1
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_57_1, all_395_1,
% 75.14/11.16 | | | | | | | | | | | | false2, simplifying with (1874), (2141) gives:
% 75.14/11.16 | | | | | | | | | | | | (2151) all_395_1 = all_57_1
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_371_1, all_395_1,
% 75.14/11.16 | | | | | | | | | | | | false2, simplifying with (2123), (2141) gives:
% 75.14/11.16 | | | | | | | | | | | | (2152) all_395_1 = all_371_1
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | GROUND_INST: instantiating (42) with false2, all_395_0, false2,
% 75.14/11.16 | | | | | | | | | | | | simplifying with (1878), (2142) gives:
% 75.14/11.16 | | | | | | | | | | | | (2153) all_395_0 = false2
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | GROUND_INST: instantiating (42) with all_371_0, all_395_0,
% 75.14/11.16 | | | | | | | | | | | | false2, simplifying with (2124), (2142) gives:
% 75.14/11.16 | | | | | | | | | | | | (2154) all_395_0 = all_371_0
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | GROUND_INST: instantiating (43) with false, all_377_0, false2,
% 75.14/11.16 | | | | | | | | | | | | simplifying with (1873), (2129) gives:
% 75.14/11.16 | | | | | | | | | | | | (2155) all_377_0 = false
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_387_1, all_393_1,
% 75.14/11.16 | | | | | | | | | | | | false2, simplifying with (2135), (2139) gives:
% 75.14/11.16 | | | | | | | | | | | | (2156) all_393_1 = all_387_1
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_387_1, all_399_1,
% 75.14/11.16 | | | | | | | | | | | | false2, simplifying with (2135), (2144) gives:
% 75.14/11.16 | | | | | | | | | | | | (2157) all_399_1 = all_387_1
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_383_0, all_399_1,
% 75.14/11.16 | | | | | | | | | | | | false2, simplifying with (2133), (2144) gives:
% 75.14/11.16 | | | | | | | | | | | | (2158) all_399_1 = all_383_0
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_377_0, all_399_1,
% 75.14/11.16 | | | | | | | | | | | | false2, simplifying with (2129), (2144) gives:
% 75.14/11.16 | | | | | | | | | | | | (2159) all_399_1 = all_377_0
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_375_0, all_399_1,
% 75.14/11.16 | | | | | | | | | | | | false2, simplifying with (2127), (2144) gives:
% 75.14/11.16 | | | | | | | | | | | | (2160) all_399_1 = all_375_0
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_393_1, all_403_1,
% 75.14/11.16 | | | | | | | | | | | | false2, simplifying with (2139), (2146) gives:
% 75.14/11.16 | | | | | | | | | | | | (2161) all_403_1 = all_393_1
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_403_1, all_405_1,
% 75.14/11.16 | | | | | | | | | | | | false2, simplifying with (2146), (2148) gives:
% 75.14/11.16 | | | | | | | | | | | | (2162) all_405_1 = all_403_1
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_405_1, all_413_1,
% 75.14/11.16 | | | | | | | | | | | | false2, simplifying with (2148), (2150) gives:
% 75.14/11.16 | | | | | | | | | | | | (2163) all_413_1 = all_405_1
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_381_0, all_413_1,
% 75.14/11.16 | | | | | | | | | | | | false2, simplifying with (2131), (2150) gives:
% 75.14/11.16 | | | | | | | | | | | | (2164) all_413_1 = all_381_0
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | COMBINE_EQS: (2163), (2164) imply:
% 75.14/11.16 | | | | | | | | | | | | (2165) all_405_1 = all_381_0
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | SIMP: (2165) implies:
% 75.14/11.16 | | | | | | | | | | | | (2166) all_405_1 = all_381_0
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | COMBINE_EQS: (2162), (2166) imply:
% 75.14/11.16 | | | | | | | | | | | | (2167) all_403_1 = all_381_0
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | SIMP: (2167) implies:
% 75.14/11.16 | | | | | | | | | | | | (2168) all_403_1 = all_381_0
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | COMBINE_EQS: (2161), (2168) imply:
% 75.14/11.16 | | | | | | | | | | | | (2169) all_393_1 = all_381_0
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | SIMP: (2169) implies:
% 75.14/11.16 | | | | | | | | | | | | (2170) all_393_1 = all_381_0
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | COMBINE_EQS: (2157), (2158) imply:
% 75.14/11.16 | | | | | | | | | | | | (2171) all_387_1 = all_383_0
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | SIMP: (2171) implies:
% 75.14/11.16 | | | | | | | | | | | | (2172) all_387_1 = all_383_0
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | COMBINE_EQS: (2158), (2159) imply:
% 75.14/11.16 | | | | | | | | | | | | (2173) all_383_0 = all_377_0
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | COMBINE_EQS: (2158), (2160) imply:
% 75.14/11.16 | | | | | | | | | | | | (2174) all_383_0 = all_375_0
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | COMBINE_EQS: (2153), (2154) imply:
% 75.14/11.16 | | | | | | | | | | | | (2175) all_371_0 = false2
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | COMBINE_EQS: (2151), (2152) imply:
% 75.14/11.16 | | | | | | | | | | | | (2176) all_371_1 = all_57_1
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | COMBINE_EQS: (2156), (2170) imply:
% 75.14/11.16 | | | | | | | | | | | | (2177) all_387_1 = all_381_0
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | SIMP: (2177) implies:
% 75.14/11.16 | | | | | | | | | | | | (2178) all_387_1 = all_381_0
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | COMBINE_EQS: (2172), (2178) imply:
% 75.14/11.16 | | | | | | | | | | | | (2179) all_383_0 = all_381_0
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | SIMP: (2179) implies:
% 75.14/11.16 | | | | | | | | | | | | (2180) all_383_0 = all_381_0
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | COMBINE_EQS: (2174), (2180) imply:
% 75.14/11.16 | | | | | | | | | | | | (2181) all_381_0 = all_375_0
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | COMBINE_EQS: (2173), (2180) imply:
% 75.14/11.16 | | | | | | | | | | | | (2182) all_381_0 = all_377_0
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | COMBINE_EQS: (2181), (2182) imply:
% 75.14/11.16 | | | | | | | | | | | | (2183) all_377_0 = all_375_0
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | SIMP: (2183) implies:
% 75.14/11.16 | | | | | | | | | | | | (2184) all_377_0 = all_375_0
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | COMBINE_EQS: (2155), (2184) imply:
% 75.14/11.16 | | | | | | | | | | | | (2185) all_375_0 = false
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | BETA: splitting (2125) gives:
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | Case 1:
% 75.14/11.16 | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | (2186) all_371_1 = 0
% 75.14/11.16 | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | COMBINE_EQS: (2176), (2186) imply:
% 75.14/11.16 | | | | | | | | | | | | | (2187) all_57_1 = 0
% 75.14/11.16 | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | SIMP: (2187) implies:
% 75.14/11.16 | | | | | | | | | | | | | (2188) all_57_1 = 0
% 75.14/11.16 | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | REDUCE: (1856), (2188) imply:
% 75.14/11.16 | | | | | | | | | | | | | (2189) $false
% 75.14/11.16 | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | CLOSE: (2189) is inconsistent.
% 75.14/11.16 | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | Case 2:
% 75.14/11.16 | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | (2190) all_371_0 = all_317_0
% 75.14/11.16 | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | COMBINE_EQS: (2175), (2190) imply:
% 75.14/11.16 | | | | | | | | | | | | | (2191) all_317_0 = false2
% 75.14/11.16 | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | REDUCE: (2078), (2191) imply:
% 75.14/11.16 | | | | | | | | | | | | | (2192) lazy_impl(true, false2) = all_317_2
% 75.14/11.16 | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | GROUND_INST: instantiating (48) with false2, all_317_2, false2,
% 75.14/11.16 | | | | | | | | | | | | | true, simplifying with (1877), (2192) gives:
% 75.14/11.16 | | | | | | | | | | | | | (2193) all_317_2 = false2
% 75.14/11.16 | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | REDUCE: (1979), (2193) imply:
% 75.14/11.16 | | | | | | | | | | | | | (2194) f2(true, true, all_44_1) = false2
% 75.14/11.16 | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | BETA: splitting (1905) gives:
% 75.14/11.16 | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | Case 1:
% 75.14/11.16 | | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | | (2195) all_44_1 = true
% 75.14/11.16 | | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | | REDUCE: (2137), (2195) imply:
% 75.14/11.16 | | | | | | | | | | | | | | (2196) f2(true, true, true) = all_389_2
% 75.14/11.16 | | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | | REDUCE: (2194), (2195) imply:
% 75.14/11.16 | | | | | | | | | | | | | | (2197) f2(true, true, true) = false2
% 75.14/11.16 | | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with true, all_389_2, true,
% 75.14/11.16 | | | | | | | | | | | | | | true, true, simplifying with (528), (2196) gives:
% 75.14/11.16 | | | | | | | | | | | | | | (2198) all_389_2 = true
% 75.14/11.16 | | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with false2, all_389_2, true,
% 75.14/11.16 | | | | | | | | | | | | | | true, true, simplifying with (2196), (2197) gives:
% 75.14/11.16 | | | | | | | | | | | | | | (2199) all_389_2 = false2
% 75.14/11.16 | | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | | COMBINE_EQS: (2198), (2199) imply:
% 75.14/11.16 | | | | | | | | | | | | | | (2200) false2 = true
% 75.14/11.16 | | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | | SIMP: (2200) implies:
% 75.14/11.16 | | | | | | | | | | | | | | (2201) false2 = true
% 75.14/11.16 | | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | | REDUCE: (1873), (2201) imply:
% 75.14/11.16 | | | | | | | | | | | | | | (2202) prop(true) = false
% 75.14/11.16 | | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | | PRED_UNIFY: (1899), (2202) imply:
% 75.14/11.16 | | | | | | | | | | | | | | (2203) $false
% 75.14/11.16 | | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | | CLOSE: (2203) is inconsistent.
% 75.14/11.16 | | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | Case 2:
% 75.14/11.16 | | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | | (2204) all_44_1 = false
% 75.14/11.16 | | | | | | | | | | | | | | (2205) ~ (all_44_1 = true)
% 75.14/11.16 | | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | | REDUCE: (2137), (2204) imply:
% 75.14/11.16 | | | | | | | | | | | | | | (2206) f2(true, false, false) = all_389_2
% 75.14/11.16 | | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | | REDUCE: (2194), (2204) imply:
% 75.14/11.16 | | | | | | | | | | | | | | (2207) f2(true, true, false) = false2
% 75.14/11.16 | | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | | REDUCE: (2106), (2204) imply:
% 75.14/11.16 | | | | | | | | | | | | | | (2208) f2(true, false, false) = false2
% 75.14/11.16 | | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with false, all_389_2, false,
% 75.14/11.16 | | | | | | | | | | | | | | false, true, simplifying with (530), (2206) gives:
% 75.14/11.16 | | | | | | | | | | | | | | (2209) all_389_2 = false
% 75.14/11.16 | | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with false2, all_389_2, false,
% 75.14/11.16 | | | | | | | | | | | | | | false, true, simplifying with (2206), (2208)
% 75.14/11.16 | | | | | | | | | | | | | | gives:
% 75.14/11.16 | | | | | | | | | | | | | | (2210) all_389_2 = false2
% 75.14/11.16 | | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with true, false2, false, true,
% 75.14/11.16 | | | | | | | | | | | | | | true, simplifying with (529), (2207) gives:
% 75.14/11.16 | | | | | | | | | | | | | | (2211) false2 = true
% 75.14/11.16 | | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | | COMBINE_EQS: (2209), (2210) imply:
% 75.14/11.16 | | | | | | | | | | | | | | (2212) false2 = false
% 75.14/11.16 | | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | | COMBINE_EQS: (2211), (2212) imply:
% 75.14/11.16 | | | | | | | | | | | | | | (2213) true = false
% 75.14/11.16 | | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | | SIMP: (2213) implies:
% 75.14/11.16 | | | | | | | | | | | | | | (2214) true = false
% 75.14/11.16 | | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | | REDUCE: (185), (2214) imply:
% 75.14/11.16 | | | | | | | | | | | | | | (2215) $false
% 75.14/11.16 | | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | | CLOSE: (2215) is inconsistent.
% 75.14/11.16 | | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | | End of split
% 75.14/11.16 | | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | | End of split
% 75.14/11.16 | | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | | End of split
% 75.14/11.16 | | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | End of split
% 75.14/11.16 | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | Case 2:
% 75.14/11.16 | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | (2216) ? [v0: int] : ( ~ (v0 = 0) & bool(all_44_1) = v0)
% 75.14/11.16 | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | DELTA: instantiating (2216) with fresh symbol all_245_0
% 75.14/11.16 | | | | | | | | | | gives:
% 75.14/11.16 | | | | | | | | | | (2217) ~ (all_245_0 = 0) & bool(all_44_1) = all_245_0
% 75.14/11.16 | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | REF_CLOSE: (40), (1890), (2217) are inconsistent by sub-proof
% 75.14/11.16 | | | | | | | | | | #6.
% 75.14/11.16 | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | End of split
% 75.14/11.16 | | | | | | | | |
% 75.14/11.16 | | | | | | | | Case 2:
% 75.14/11.16 | | | | | | | | |
% 75.14/11.16 | | | | | | | | | (2218) all_55_0 = false
% 75.14/11.16 | | | | | | | | |
% 75.14/11.16 | | | | | | | | | REDUCE: (269), (2218) imply:
% 75.14/11.16 | | | | | | | | | (2219) not1(false) = all_135_0
% 75.14/11.16 | | | | | | | | |
% 75.14/11.16 | | | | | | | | | REDUCE: (1872), (2218) imply:
% 75.14/11.16 | | | | | | | | | (2220) lazy_impl(false, all_44_1) = false2
% 75.14/11.16 | | | | | | | | |
% 75.14/11.16 | | | | | | | | | BETA: splitting (130) gives:
% 75.14/11.16 | | | | | | | | |
% 75.14/11.16 | | | | | | | | | Case 1:
% 75.14/11.16 | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | (2221) all_55_0 = true
% 75.14/11.16 | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | COMBINE_EQS: (2218), (2221) imply:
% 75.14/11.16 | | | | | | | | | | (2222) true = false
% 75.14/11.16 | | | | | | | | | |
% 75.14/11.16 | | | | | | | | | | REDUCE: (185), (2222) imply:
% 75.38/11.16 | | | | | | | | | | (2223) $false
% 75.38/11.16 | | | | | | | | | |
% 75.38/11.16 | | | | | | | | | | CLOSE: (2223) is inconsistent.
% 75.38/11.16 | | | | | | | | | |
% 75.38/11.16 | | | | | | | | | Case 2:
% 75.38/11.16 | | | | | | | | | |
% 75.38/11.16 | | | | | | | | | | (2224) ~ (all_55_0 = true)
% 75.38/11.16 | | | | | | | | | |
% 75.38/11.16 | | | | | | | | | | GROUND_INST: instantiating (45) with true, all_135_0, false,
% 75.38/11.16 | | | | | | | | | | simplifying with (34), (2219) gives:
% 75.38/11.16 | | | | | | | | | | (2225) all_135_0 = true
% 75.38/11.16 | | | | | | | | | |
% 75.38/11.16 | | | | | | | | | | GROUND_INST: instantiating (25) with all_42_2, all_42_2,
% 75.38/11.16 | | | | | | | | | | false2, false2, false2, simplifying with (54),
% 75.38/11.16 | | | | | | | | | | (71), (1889) gives:
% 75.38/11.16 | | | | | | | | | | (2226) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.16 | | | | | | | | | | (f1(all_42_2, all_42_2, false2) = v0 &
% 75.38/11.16 | | | | | | | | | | lazy_impl(v1, v2) = v0 & impl(false2, false2) =
% 75.38/11.16 | | | | | | | | | | v2 & prop(false2) = v1 & $i(v2) & $i(v1) &
% 75.38/11.16 | | | | | | | | | | $i(v0))
% 75.38/11.16 | | | | | | | | | |
% 75.38/11.16 | | | | | | | | | | GROUND_INST: instantiating (22) with all_44_1, false2,
% 75.38/11.16 | | | | | | | | | | simplifying with (58), (2220) gives:
% 75.38/11.16 | | | | | | | | | | (2227) false2 = true
% 75.38/11.16 | | | | | | | | | |
% 75.38/11.16 | | | | | | | | | | GROUND_INST: instantiating (27) with true, all_42_2, false2,
% 75.38/11.16 | | | | | | | | | | false2, false2, simplifying with (36), (54), (71),
% 75.38/11.16 | | | | | | | | | | (1877), (1889) gives:
% 75.38/11.16 | | | | | | | | | | (2228) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.16 | | | | | | | | | | (f2(true, all_42_2, false2) = v0 & lazy_impl(v1,
% 75.38/11.16 | | | | | | | | | | v2) = v0 & impl(false2, false2) = v2 &
% 75.38/11.16 | | | | | | | | | | prop(false2) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.38/11.16 | | | | | | | | | |
% 75.38/11.16 | | | | | | | | | | DELTA: instantiating (2228) with fresh symbols all_264_0,
% 75.38/11.16 | | | | | | | | | | all_264_1, all_264_2 gives:
% 75.38/11.16 | | | | | | | | | | (2229) f2(true, all_42_2, false2) = all_264_2 &
% 75.38/11.16 | | | | | | | | | | lazy_impl(all_264_1, all_264_0) = all_264_2 &
% 75.38/11.16 | | | | | | | | | | impl(false2, false2) = all_264_0 & prop(false2) =
% 75.38/11.16 | | | | | | | | | | all_264_1 & $i(all_264_0) & $i(all_264_1) &
% 75.38/11.16 | | | | | | | | | | $i(all_264_2)
% 75.38/11.16 | | | | | | | | | |
% 75.38/11.16 | | | | | | | | | | ALPHA: (2229) implies:
% 75.38/11.16 | | | | | | | | | | (2230) prop(false2) = all_264_1
% 75.38/11.16 | | | | | | | | | |
% 75.38/11.16 | | | | | | | | | | DELTA: instantiating (2226) with fresh symbols all_266_0,
% 75.38/11.17 | | | | | | | | | | all_266_1, all_266_2 gives:
% 75.38/11.17 | | | | | | | | | | (2231) f1(all_42_2, all_42_2, false2) = all_266_2 &
% 75.38/11.17 | | | | | | | | | | lazy_impl(all_266_1, all_266_0) = all_266_2 &
% 75.38/11.17 | | | | | | | | | | impl(false2, false2) = all_266_0 & prop(false2) =
% 75.38/11.17 | | | | | | | | | | all_266_1 & $i(all_266_0) & $i(all_266_1) &
% 75.38/11.17 | | | | | | | | | | $i(all_266_2)
% 75.38/11.17 | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | ALPHA: (2231) implies:
% 75.38/11.17 | | | | | | | | | | (2232) prop(false2) = all_266_1
% 75.38/11.17 | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | REDUCE: (2227), (2232) imply:
% 75.38/11.17 | | | | | | | | | | (2233) prop(true) = all_266_1
% 75.38/11.17 | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | REDUCE: (2227), (2230) imply:
% 75.38/11.17 | | | | | | | | | | (2234) prop(true) = all_264_1
% 75.38/11.17 | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | REDUCE: (1873), (2227) imply:
% 75.38/11.17 | | | | | | | | | | (2235) prop(true) = false
% 75.38/11.17 | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | GROUND_INST: instantiating (43) with true, all_266_1, true,
% 75.38/11.17 | | | | | | | | | | simplifying with (115), (2233) gives:
% 75.38/11.17 | | | | | | | | | | (2236) all_266_1 = true
% 75.38/11.17 | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | GROUND_INST: instantiating (43) with all_264_1, all_266_1,
% 75.38/11.17 | | | | | | | | | | true, simplifying with (2233), (2234) gives:
% 75.38/11.17 | | | | | | | | | | (2237) all_266_1 = all_264_1
% 75.38/11.17 | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | GROUND_INST: instantiating (43) with false, all_266_1, true,
% 75.38/11.17 | | | | | | | | | | simplifying with (2233), (2235) gives:
% 75.38/11.17 | | | | | | | | | | (2238) all_266_1 = false
% 75.38/11.17 | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | COMBINE_EQS: (2236), (2237) imply:
% 75.38/11.17 | | | | | | | | | | (2239) all_264_1 = true
% 75.38/11.17 | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | COMBINE_EQS: (2237), (2238) imply:
% 75.38/11.17 | | | | | | | | | | (2240) all_264_1 = false
% 75.38/11.17 | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | COMBINE_EQS: (2239), (2240) imply:
% 75.38/11.17 | | | | | | | | | | (2241) true = false
% 75.38/11.17 | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | REDUCE: (185), (2241) imply:
% 75.38/11.17 | | | | | | | | | | (2242) $false
% 75.38/11.17 | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | CLOSE: (2242) is inconsistent.
% 75.38/11.17 | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | End of split
% 75.38/11.17 | | | | | | | | |
% 75.38/11.17 | | | | | | | | End of split
% 75.38/11.17 | | | | | | | |
% 75.38/11.17 | | | | | | | End of split
% 75.38/11.17 | | | | | | |
% 75.38/11.17 | | | | | | End of split
% 75.38/11.17 | | | | | |
% 75.38/11.17 | | | | | Case 2:
% 75.38/11.17 | | | | | |
% 75.38/11.17 | | | | | | (2243) false2 = err & ~ (all_63_0 = 0)
% 75.38/11.17 | | | | | |
% 75.38/11.17 | | | | | | ALPHA: (2243) implies:
% 75.38/11.17 | | | | | | (2244) false2 = err
% 75.38/11.17 | | | | | |
% 75.38/11.17 | | | | | | REDUCE: (192), (2244) imply:
% 75.38/11.17 | | | | | | (2245) lazy_and1(true, err) = all_95_0
% 75.38/11.17 | | | | | |
% 75.38/11.17 | | | | | | REDUCE: (194), (2244) imply:
% 75.38/11.17 | | | | | | (2246) lazy_impl(true, err) = all_95_0
% 75.38/11.17 | | | | | |
% 75.38/11.17 | | | | | | REDUCE: (79), (2244) imply:
% 75.38/11.17 | | | | | | (2247) impl(all_42_2, err) = all_42_0
% 75.38/11.17 | | | | | |
% 75.38/11.17 | | | | | | REDUCE: (60), (2244) imply:
% 75.38/11.17 | | | | | | (2248) phi(all_44_0) = err
% 75.38/11.17 | | | | | |
% 75.38/11.17 | | | | | | REDUCE: (168), (2244) imply:
% 75.38/11.17 | | | | | | (2249) phi(err) = all_95_0
% 75.38/11.17 | | | | | |
% 75.38/11.17 | | | | | | REDUCE: (166), (2244) imply:
% 75.38/11.17 | | | | | | (2250) bool(err) = all_95_1
% 75.38/11.17 | | | | | |
% 75.38/11.17 | | | | | | GROUND_INST: instantiating (40) with all_91_1, all_95_1, err,
% 75.38/11.17 | | | | | | simplifying with (160), (2250) gives:
% 75.38/11.17 | | | | | | (2251) all_95_1 = all_91_1
% 75.38/11.17 | | | | | |
% 75.38/11.17 | | | | | | GROUND_INST: instantiating (49) with err, all_95_0, err, true,
% 75.38/11.17 | | | | | | simplifying with (124), (2245) gives:
% 75.38/11.17 | | | | | | (2252) all_95_0 = err
% 75.38/11.17 | | | | | |
% 75.38/11.17 | | | | | | BETA: splitting (131) gives:
% 75.38/11.17 | | | | | |
% 75.38/11.17 | | | | | | Case 1:
% 75.38/11.17 | | | | | | |
% 75.38/11.17 | | | | | | | (2253) bool(all_44_1) = 0
% 75.38/11.17 | | | | | | |
% 75.38/11.17 | | | | | | | BETA: splitting (130) gives:
% 75.38/11.17 | | | | | | |
% 75.38/11.17 | | | | | | | Case 1:
% 75.38/11.17 | | | | | | | |
% 75.38/11.17 | | | | | | | | (2254) all_55_0 = true
% 75.38/11.17 | | | | | | | |
% 75.38/11.17 | | | | | | | | REDUCE: (269), (2254) imply:
% 75.38/11.17 | | | | | | | | (2255) not1(true) = all_135_0
% 75.38/11.17 | | | | | | | |
% 75.38/11.17 | | | | | | | | REDUCE: (198), (2254) imply:
% 75.38/11.17 | | | | | | | | (2256) lazy_and1(true, true) = all_87_0
% 75.38/11.17 | | | | | | | |
% 75.38/11.17 | | | | | | | | REDUCE: (83), (2254) imply:
% 75.38/11.17 | | | | | | | | (2257) lazy_impl(true, all_44_1) = all_44_0
% 75.38/11.17 | | | | | | | |
% 75.38/11.17 | | | | | | | | REDUCE: (200), (2254) imply:
% 75.38/11.17 | | | | | | | | (2258) lazy_impl(true, true) = all_87_0
% 75.38/11.17 | | | | | | | |
% 75.38/11.17 | | | | | | | | REDUCE: (82), (2254) imply:
% 75.38/11.17 | | | | | | | | (2259) prop(all_44_1) = true
% 75.38/11.17 | | | | | | | |
% 75.38/11.17 | | | | | | | | GROUND_INST: instantiating (49) with true, all_87_0, true, true,
% 75.38/11.17 | | | | | | | | simplifying with (121), (2256) gives:
% 75.38/11.17 | | | | | | | | (2260) all_87_0 = true
% 75.38/11.17 | | | | | | | |
% 75.38/11.17 | | | | | | | | GROUND_INST: instantiating (45) with false, all_135_0, true,
% 75.38/11.17 | | | | | | | | simplifying with (37), (2255) gives:
% 75.38/11.17 | | | | | | | | (2261) all_135_0 = false
% 75.38/11.17 | | | | | | | |
% 75.38/11.17 | | | | | | | | GROUND_INST: instantiating (3) with all_42_2, simplifying with
% 75.38/11.17 | | | | | | | | (54), (1868) gives:
% 75.38/11.17 | | | | | | | | (2262) all_42_2 = true | all_42_2 = false
% 75.38/11.17 | | | | | | | |
% 75.38/11.17 | | | | | | | | GROUND_INST: instantiating (21) with all_42_2, simplifying with
% 75.38/11.17 | | | | | | | | (54), (1868) gives:
% 75.38/11.17 | | | | | | | | (2263) impl(true, all_42_2) = all_42_2
% 75.38/11.17 | | | | | | | |
% 75.38/11.17 | | | | | | | | GROUND_INST: instantiating (20) with all_42_2, simplifying with
% 75.38/11.17 | | | | | | | | (54), (1868) gives:
% 75.38/11.17 | | | | | | | | (2264) impl(false, all_42_2) = true
% 75.38/11.17 | | | | | | | |
% 75.38/11.17 | | | | | | | | GROUND_INST: instantiating (14) with all_42_2, simplifying with
% 75.38/11.17 | | | | | | | | (54), (1868) gives:
% 75.38/11.17 | | | | | | | | (2265) prop(all_42_2) = true
% 75.38/11.17 | | | | | | | |
% 75.38/11.17 | | | | | | | | GROUND_INST: instantiating (17) with all_42_2, simplifying with
% 75.38/11.17 | | | | | | | | (54), (1868) gives:
% 75.38/11.17 | | | | | | | | (2266) ? [v0: $i] : ( ~ (v0 = false) & prop(all_42_2) = v0 &
% 75.38/11.17 | | | | | | | | $i(v0))
% 75.38/11.17 | | | | | | | |
% 75.38/11.17 | | | | | | | | GROUND_INST: instantiating (3) with all_44_1, simplifying with
% 75.38/11.17 | | | | | | | | (58), (2253) gives:
% 75.38/11.17 | | | | | | | | (2267) all_44_1 = true | all_44_1 = false
% 75.38/11.17 | | | | | | | |
% 75.38/11.17 | | | | | | | | GROUND_INST: instantiating (21) with all_44_1, simplifying with
% 75.38/11.17 | | | | | | | | (58), (2253) gives:
% 75.38/11.17 | | | | | | | | (2268) impl(true, all_44_1) = all_44_1
% 75.38/11.17 | | | | | | | |
% 75.38/11.17 | | | | | | | | GROUND_INST: instantiating (20) with all_44_1, simplifying with
% 75.38/11.17 | | | | | | | | (58), (2253) gives:
% 75.38/11.17 | | | | | | | | (2269) impl(false, all_44_1) = true
% 75.38/11.17 | | | | | | | |
% 75.38/11.17 | | | | | | | | DELTA: instantiating (2266) with fresh symbol all_251_0 gives:
% 75.38/11.17 | | | | | | | | (2270) ~ (all_251_0 = false) & prop(all_42_2) = all_251_0 &
% 75.38/11.17 | | | | | | | | $i(all_251_0)
% 75.38/11.17 | | | | | | | |
% 75.38/11.17 | | | | | | | | ALPHA: (2270) implies:
% 75.38/11.17 | | | | | | | | (2271) $i(all_251_0)
% 75.38/11.17 | | | | | | | | (2272) prop(all_42_2) = all_251_0
% 75.38/11.17 | | | | | | | |
% 75.38/11.17 | | | | | | | | GROUND_INST: instantiating (43) with true, all_251_0, all_42_2,
% 75.38/11.17 | | | | | | | | simplifying with (2265), (2272) gives:
% 75.38/11.17 | | | | | | | | (2273) all_251_0 = true
% 75.38/11.17 | | | | | | | |
% 75.38/11.17 | | | | | | | | BETA: splitting (144) gives:
% 75.38/11.17 | | | | | | | |
% 75.38/11.17 | | | | | | | | Case 1:
% 75.38/11.17 | | | | | | | | |
% 75.38/11.17 | | | | | | | | | (2274) all_81_0 = 0 & all_59_0 = all_42_2
% 75.38/11.17 | | | | | | | | |
% 75.38/11.17 | | | | | | | | | ALPHA: (2274) implies:
% 75.38/11.17 | | | | | | | | | (2275) all_59_0 = all_42_2
% 75.38/11.17 | | | | | | | | |
% 75.38/11.17 | | | | | | | | | REDUCE: (129), (2275) imply:
% 75.38/11.17 | | | | | | | | | (2276) lazy_impl(true, all_42_2) = all_42_2
% 75.38/11.17 | | | | | | | | |
% 75.38/11.17 | | | | | | | | | BETA: splitting (162) gives:
% 75.38/11.17 | | | | | | | | |
% 75.38/11.17 | | | | | | | | | Case 1:
% 75.38/11.17 | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | (2277) all_91_1 = 0
% 75.38/11.17 | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | REDUCE: (160), (2277) imply:
% 75.38/11.17 | | | | | | | | | | (2278) bool(err) = 0
% 75.38/11.17 | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | REF_CLOSE: (3), (4), (5), (11), (2278) are inconsistent by
% 75.38/11.17 | | | | | | | | | | sub-proof #7.
% 75.38/11.17 | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | Case 2:
% 75.38/11.17 | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | (2279) ~ (all_91_1 = 0)
% 75.38/11.17 | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | BETA: splitting (186) gives:
% 75.38/11.17 | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | Case 1:
% 75.38/11.17 | | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | | (2280) prop(false2) = false
% 75.38/11.17 | | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | | REDUCE: (2244), (2280) imply:
% 75.38/11.17 | | | | | | | | | | | (2281) prop(err) = false
% 75.38/11.17 | | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | | BETA: splitting (169) gives:
% 75.38/11.17 | | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | | Case 1:
% 75.38/11.17 | | | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | | | (2282) ~ (all_95_2 = 0)
% 75.38/11.17 | | | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | | | REDUCE: (1867), (2282) imply:
% 75.38/11.17 | | | | | | | | | | | | (2283) $false
% 75.38/11.17 | | | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | | | CLOSE: (2283) is inconsistent.
% 75.38/11.17 | | | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | | Case 2:
% 75.38/11.17 | | | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | | | (2284) all_95_0 = all_42_0 | all_95_1 = 0
% 75.38/11.17 | | | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | | | BETA: splitting (2284) gives:
% 75.38/11.17 | | | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | | | Case 1:
% 75.38/11.17 | | | | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | | | | (2285) all_95_1 = 0
% 75.38/11.17 | | | | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | | | | REF_CLOSE: (2251), (2279), (2285) are inconsistent by
% 75.38/11.17 | | | | | | | | | | | | | sub-proof #2.
% 75.38/11.17 | | | | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | | | Case 2:
% 75.38/11.17 | | | | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | | | | (2286) all_95_0 = all_42_0
% 75.38/11.17 | | | | | | | | | | | | | (2287) ~ (all_95_1 = 0)
% 75.38/11.17 | | | | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | | | | COMBINE_EQS: (2252), (2286) imply:
% 75.38/11.17 | | | | | | | | | | | | | (2288) all_42_0 = err
% 75.38/11.17 | | | | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | | | | REDUCE: (53), (2288) imply:
% 75.38/11.17 | | | | | | | | | | | | | (2289) ~ (all_42_1 = err)
% 75.38/11.17 | | | | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | | | | SIMP: (2289) implies:
% 75.38/11.17 | | | | | | | | | | | | | (2290) ~ (all_42_1 = err)
% 75.38/11.17 | | | | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | | | | REDUCE: (2247), (2288) imply:
% 75.38/11.17 | | | | | | | | | | | | | (2291) impl(all_42_2, err) = err
% 75.38/11.17 | | | | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | | | | GROUND_INST: instantiating (29) with err, false, simplifying
% 75.38/11.17 | | | | | | | | | | | | | with (11), (2281) gives:
% 75.38/11.17 | | | | | | | | | | | | | (2292) ? [v0: $i] : (f7(err) = v0 & lazy_impl(false,
% 75.38/11.17 | | | | | | | | | | | | | err) = v0 & $i(v0))
% 75.38/11.17 | | | | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_42_2, true,
% 75.38/11.17 | | | | | | | | | | | | | simplifying with (54), (2265) gives:
% 75.38/11.17 | | | | | | | | | | | | | (2293) ? [v0: $i] : (f7(all_42_2) = v0 & lazy_impl(true,
% 75.38/11.17 | | | | | | | | | | | | | all_42_2) = v0 & $i(v0))
% 75.38/11.17 | | | | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | | | | GROUND_INST: instantiating (25) with true, false, all_42_2,
% 75.38/11.17 | | | | | | | | | | | | | true, true, simplifying with (35), (36), (54),
% 75.38/11.17 | | | | | | | | | | | | | (113), (2264) gives:
% 75.38/11.17 | | | | | | | | | | | | | (2294) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.17 | | | | | | | | | | | | | (f1(true, false, all_42_2) = v0 & lazy_impl(v1,
% 75.38/11.17 | | | | | | | | | | | | | v2) = v0 & impl(true, all_42_2) = v2 &
% 75.38/11.17 | | | | | | | | | | | | | prop(all_42_2) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.38/11.17 | | | | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | | | | GROUND_INST: instantiating (25) with false, false, all_42_2,
% 75.38/11.17 | | | | | | | | | | | | | true, true, simplifying with (35), (54), (114),
% 75.38/11.17 | | | | | | | | | | | | | (2264) gives:
% 75.38/11.17 | | | | | | | | | | | | | (2295) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.17 | | | | | | | | | | | | | (f1(false, false, all_42_2) = v0 & lazy_impl(v1,
% 75.38/11.17 | | | | | | | | | | | | | v2) = v0 & impl(true, all_42_2) = v2 &
% 75.38/11.17 | | | | | | | | | | | | | prop(all_42_2) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.38/11.17 | | | | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | | | | GROUND_INST: instantiating (27) with true, false, all_42_2,
% 75.38/11.17 | | | | | | | | | | | | | true, true, simplifying with (35), (36), (54),
% 75.38/11.17 | | | | | | | | | | | | | (122), (2264) gives:
% 75.38/11.17 | | | | | | | | | | | | | (2296) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.17 | | | | | | | | | | | | | (f2(true, false, all_42_2) = v0 & lazy_impl(v1,
% 75.38/11.17 | | | | | | | | | | | | | v2) = v0 & impl(true, all_42_2) = v2 &
% 75.38/11.17 | | | | | | | | | | | | | prop(all_42_2) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.38/11.17 | | | | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | | | | GROUND_INST: instantiating (25) with true, false, all_44_1,
% 75.38/11.17 | | | | | | | | | | | | | true, true, simplifying with (35), (36), (58),
% 75.38/11.17 | | | | | | | | | | | | | (113), (2269) gives:
% 75.38/11.17 | | | | | | | | | | | | | (2297) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.17 | | | | | | | | | | | | | (f1(true, false, all_44_1) = v0 & lazy_impl(v1,
% 75.38/11.17 | | | | | | | | | | | | | v2) = v0 & impl(true, all_44_1) = v2 &
% 75.38/11.17 | | | | | | | | | | | | | prop(all_44_1) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.38/11.17 | | | | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | | | | GROUND_INST: instantiating (25) with false, false, all_44_1,
% 75.38/11.17 | | | | | | | | | | | | | true, true, simplifying with (35), (58), (114),
% 75.38/11.17 | | | | | | | | | | | | | (2269) gives:
% 75.38/11.17 | | | | | | | | | | | | | (2298) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.17 | | | | | | | | | | | | | (f1(false, false, all_44_1) = v0 & lazy_impl(v1,
% 75.38/11.17 | | | | | | | | | | | | | v2) = v0 & impl(true, all_44_1) = v2 &
% 75.38/11.17 | | | | | | | | | | | | | prop(all_44_1) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.38/11.17 | | | | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | | | | GROUND_INST: instantiating (27) with true, false, all_44_1,
% 75.38/11.17 | | | | | | | | | | | | | true, true, simplifying with (35), (36), (58),
% 75.38/11.17 | | | | | | | | | | | | | (122), (2269) gives:
% 75.38/11.17 | | | | | | | | | | | | | (2299) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.17 | | | | | | | | | | | | | (f2(true, false, all_44_1) = v0 & lazy_impl(v1,
% 75.38/11.17 | | | | | | | | | | | | | v2) = v0 & impl(true, all_44_1) = v2 &
% 75.38/11.17 | | | | | | | | | | | | | prop(all_44_1) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.38/11.17 | | | | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | | | | GROUND_INST: instantiating (28) with false, false, all_42_2,
% 75.38/11.17 | | | | | | | | | | | | | true, true, all_42_2, all_42_2, simplifying with
% 75.38/11.17 | | | | | | | | | | | | | (35), (54), (2263), (2264) gives:
% 75.38/11.17 | | | | | | | | | | | | | (2300) ? [v0: $i] : ? [v1: $i] : (f3(false, false,
% 75.38/11.17 | | | | | | | | | | | | | all_42_2) = v0 & lazy_impl(v1, all_42_2) = v0
% 75.38/11.17 | | | | | | | | | | | | | & prop(all_42_2) = v1 & $i(v1) & $i(v0))
% 75.38/11.17 | | | | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | | | | GROUND_INST: instantiating (25) with true, true, all_42_2,
% 75.38/11.17 | | | | | | | | | | | | | all_42_2, all_42_2, simplifying with (36), (54),
% 75.38/11.17 | | | | | | | | | | | | | (2263) gives:
% 75.38/11.17 | | | | | | | | | | | | | (2301) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.17 | | | | | | | | | | | | | (f1(true, true, all_42_2) = v0 & lazy_impl(v1, v2)
% 75.38/11.17 | | | | | | | | | | | | | = v0 & impl(all_42_2, all_42_2) = v2 &
% 75.38/11.17 | | | | | | | | | | | | | prop(all_42_2) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.38/11.17 | | | | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | | | | GROUND_INST: instantiating (25) with false, true, all_42_2,
% 75.38/11.17 | | | | | | | | | | | | | all_42_2, true, simplifying with (35), (36), (54),
% 75.38/11.17 | | | | | | | | | | | | | (2263), (2264) gives:
% 75.38/11.17 | | | | | | | | | | | | | (2302) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.17 | | | | | | | | | | | | | (f1(false, true, all_42_2) = v0 & lazy_impl(v1,
% 75.38/11.17 | | | | | | | | | | | | | v2) = v0 & impl(true, all_42_2) = v2 &
% 75.38/11.17 | | | | | | | | | | | | | prop(all_42_2) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.38/11.17 | | | | | | | | | | | | |
% 75.38/11.17 | | | | | | | | | | | | | GROUND_INST: instantiating (28) with false, false, all_44_1,
% 75.38/11.17 | | | | | | | | | | | | | true, true, all_44_1, all_44_1, simplifying with
% 75.38/11.17 | | | | | | | | | | | | | (35), (58), (2268), (2269) gives:
% 75.38/11.17 | | | | | | | | | | | | | (2303) ? [v0: $i] : ? [v1: $i] : (f3(false, false,
% 75.38/11.17 | | | | | | | | | | | | | all_44_1) = v0 & lazy_impl(v1, all_44_1) = v0
% 75.38/11.17 | | | | | | | | | | | | | & prop(all_44_1) = v1 & $i(v1) & $i(v0))
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | GROUND_INST: instantiating (25) with true, true, all_44_1,
% 75.38/11.18 | | | | | | | | | | | | | all_44_1, all_44_1, simplifying with (36), (58),
% 75.38/11.18 | | | | | | | | | | | | | (2268) gives:
% 75.38/11.18 | | | | | | | | | | | | | (2304) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.18 | | | | | | | | | | | | | (f1(true, true, all_44_1) = v0 & lazy_impl(v1, v2)
% 75.38/11.18 | | | | | | | | | | | | | = v0 & impl(all_44_1, all_44_1) = v2 &
% 75.38/11.18 | | | | | | | | | | | | | prop(all_44_1) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | GROUND_INST: instantiating (25) with false, true, all_44_1,
% 75.38/11.18 | | | | | | | | | | | | | all_44_1, true, simplifying with (35), (36), (58),
% 75.38/11.18 | | | | | | | | | | | | | (2268), (2269) gives:
% 75.38/11.18 | | | | | | | | | | | | | (2305) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.18 | | | | | | | | | | | | | (f1(false, true, all_44_1) = v0 & lazy_impl(v1,
% 75.38/11.18 | | | | | | | | | | | | | v2) = v0 & impl(true, all_44_1) = v2 &
% 75.38/11.18 | | | | | | | | | | | | | prop(all_44_1) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | GROUND_INST: instantiating (27) with true, true, all_44_1,
% 75.38/11.18 | | | | | | | | | | | | | all_44_1, all_44_0, simplifying with (36), (58),
% 75.38/11.18 | | | | | | | | | | | | | (2257), (2268) gives:
% 75.38/11.18 | | | | | | | | | | | | | (2306) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.18 | | | | | | | | | | | | | (f2(true, true, all_44_1) = v0 & lazy_impl(v1, v2)
% 75.38/11.18 | | | | | | | | | | | | | = v0 & impl(all_44_0, all_44_1) = v2 &
% 75.38/11.18 | | | | | | | | | | | | | prop(all_44_1) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_42_2, all_42_2, err,
% 75.38/11.18 | | | | | | | | | | | | | err, err, simplifying with (11), (54), (2291)
% 75.38/11.18 | | | | | | | | | | | | | gives:
% 75.38/11.18 | | | | | | | | | | | | | (2307) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.18 | | | | | | | | | | | | | (f1(all_42_2, all_42_2, err) = v0 & lazy_impl(v1,
% 75.38/11.18 | | | | | | | | | | | | | v2) = v0 & impl(err, err) = v2 & prop(err) =
% 75.38/11.18 | | | | | | | | | | | | | v1 & $i(v2) & $i(v1) & $i(v0))
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | GROUND_INST: instantiating (27) with true, all_42_2, err, err,
% 75.38/11.18 | | | | | | | | | | | | | err, simplifying with (11), (36), (54), (125),
% 75.38/11.18 | | | | | | | | | | | | | (2291) gives:
% 75.38/11.18 | | | | | | | | | | | | | (2308) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.18 | | | | | | | | | | | | | (f2(true, all_42_2, err) = v0 & lazy_impl(v1, v2)
% 75.38/11.18 | | | | | | | | | | | | | = v0 & impl(err, err) = v2 & prop(err) = v1 &
% 75.38/11.18 | | | | | | | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | GROUND_INST: instantiating (27) with true, true, all_42_2,
% 75.38/11.18 | | | | | | | | | | | | | all_42_2, all_42_2, simplifying with (36), (54),
% 75.38/11.18 | | | | | | | | | | | | | (2263), (2276) gives:
% 75.38/11.18 | | | | | | | | | | | | | (2309) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.18 | | | | | | | | | | | | | (f2(true, true, all_42_2) = v0 & lazy_impl(v1, v2)
% 75.38/11.18 | | | | | | | | | | | | | = v0 & impl(all_42_2, all_42_2) = v2 &
% 75.38/11.18 | | | | | | | | | | | | | prop(all_42_2) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | DELTA: instantiating (2293) with fresh symbol all_291_0
% 75.38/11.18 | | | | | | | | | | | | | gives:
% 75.38/11.18 | | | | | | | | | | | | | (2310) f7(all_42_2) = all_291_0 & lazy_impl(true,
% 75.38/11.18 | | | | | | | | | | | | | all_42_2) = all_291_0 & $i(all_291_0)
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | ALPHA: (2310) implies:
% 75.38/11.18 | | | | | | | | | | | | | (2311) lazy_impl(true, all_42_2) = all_291_0
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | DELTA: instantiating (2292) with fresh symbol all_293_0
% 75.38/11.18 | | | | | | | | | | | | | gives:
% 75.38/11.18 | | | | | | | | | | | | | (2312) f7(err) = all_293_0 & lazy_impl(false, err) =
% 75.38/11.18 | | | | | | | | | | | | | all_293_0 & $i(all_293_0)
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | ALPHA: (2312) implies:
% 75.38/11.18 | | | | | | | | | | | | | (2313) lazy_impl(false, err) = all_293_0
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | DELTA: instantiating (2303) with fresh symbols all_297_0,
% 75.38/11.18 | | | | | | | | | | | | | all_297_1 gives:
% 75.38/11.18 | | | | | | | | | | | | | (2314) f3(false, false, all_44_1) = all_297_1 &
% 75.38/11.18 | | | | | | | | | | | | | lazy_impl(all_297_0, all_44_1) = all_297_1 &
% 75.38/11.18 | | | | | | | | | | | | | prop(all_44_1) = all_297_0 & $i(all_297_0) &
% 75.38/11.18 | | | | | | | | | | | | | $i(all_297_1)
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | ALPHA: (2314) implies:
% 75.38/11.18 | | | | | | | | | | | | | (2315) $i(all_297_1)
% 75.38/11.18 | | | | | | | | | | | | | (2316) $i(all_297_0)
% 75.38/11.18 | | | | | | | | | | | | | (2317) prop(all_44_1) = all_297_0
% 75.38/11.18 | | | | | | | | | | | | | (2318) lazy_impl(all_297_0, all_44_1) = all_297_1
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | DELTA: instantiating (2300) with fresh symbols all_301_0,
% 75.38/11.18 | | | | | | | | | | | | | all_301_1 gives:
% 75.38/11.18 | | | | | | | | | | | | | (2319) f3(false, false, all_42_2) = all_301_1 &
% 75.38/11.18 | | | | | | | | | | | | | lazy_impl(all_301_0, all_42_2) = all_301_1 &
% 75.38/11.18 | | | | | | | | | | | | | prop(all_42_2) = all_301_0 & $i(all_301_0) &
% 75.38/11.18 | | | | | | | | | | | | | $i(all_301_1)
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | ALPHA: (2319) implies:
% 75.38/11.18 | | | | | | | | | | | | | (2320) $i(all_301_1)
% 75.38/11.18 | | | | | | | | | | | | | (2321) prop(all_42_2) = all_301_0
% 75.38/11.18 | | | | | | | | | | | | | (2322) lazy_impl(all_301_0, all_42_2) = all_301_1
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | DELTA: instantiating (2299) with fresh symbols all_303_0,
% 75.38/11.18 | | | | | | | | | | | | | all_303_1, all_303_2 gives:
% 75.38/11.18 | | | | | | | | | | | | | (2323) f2(true, false, all_44_1) = all_303_2 &
% 75.38/11.18 | | | | | | | | | | | | | lazy_impl(all_303_1, all_303_0) = all_303_2 &
% 75.38/11.18 | | | | | | | | | | | | | impl(true, all_44_1) = all_303_0 & prop(all_44_1)
% 75.38/11.18 | | | | | | | | | | | | | = all_303_1 & $i(all_303_0) & $i(all_303_1) &
% 75.38/11.18 | | | | | | | | | | | | | $i(all_303_2)
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | ALPHA: (2323) implies:
% 75.38/11.18 | | | | | | | | | | | | | (2324) $i(all_303_0)
% 75.38/11.18 | | | | | | | | | | | | | (2325) prop(all_44_1) = all_303_1
% 75.38/11.18 | | | | | | | | | | | | | (2326) impl(true, all_44_1) = all_303_0
% 75.38/11.18 | | | | | | | | | | | | | (2327) lazy_impl(all_303_1, all_303_0) = all_303_2
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | DELTA: instantiating (2298) with fresh symbols all_305_0,
% 75.38/11.18 | | | | | | | | | | | | | all_305_1, all_305_2 gives:
% 75.38/11.18 | | | | | | | | | | | | | (2328) f1(false, false, all_44_1) = all_305_2 &
% 75.38/11.18 | | | | | | | | | | | | | lazy_impl(all_305_1, all_305_0) = all_305_2 &
% 75.38/11.18 | | | | | | | | | | | | | impl(true, all_44_1) = all_305_0 & prop(all_44_1)
% 75.38/11.18 | | | | | | | | | | | | | = all_305_1 & $i(all_305_0) & $i(all_305_1) &
% 75.38/11.18 | | | | | | | | | | | | | $i(all_305_2)
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | ALPHA: (2328) implies:
% 75.38/11.18 | | | | | | | | | | | | | (2329) prop(all_44_1) = all_305_1
% 75.38/11.18 | | | | | | | | | | | | | (2330) impl(true, all_44_1) = all_305_0
% 75.38/11.18 | | | | | | | | | | | | | (2331) lazy_impl(all_305_1, all_305_0) = all_305_2
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | DELTA: instantiating (2296) with fresh symbols all_307_0,
% 75.38/11.18 | | | | | | | | | | | | | all_307_1, all_307_2 gives:
% 75.38/11.18 | | | | | | | | | | | | | (2332) f2(true, false, all_42_2) = all_307_2 &
% 75.38/11.18 | | | | | | | | | | | | | lazy_impl(all_307_1, all_307_0) = all_307_2 &
% 75.38/11.18 | | | | | | | | | | | | | impl(true, all_42_2) = all_307_0 & prop(all_42_2)
% 75.38/11.18 | | | | | | | | | | | | | = all_307_1 & $i(all_307_0) & $i(all_307_1) &
% 75.38/11.18 | | | | | | | | | | | | | $i(all_307_2)
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | ALPHA: (2332) implies:
% 75.38/11.18 | | | | | | | | | | | | | (2333) prop(all_42_2) = all_307_1
% 75.38/11.18 | | | | | | | | | | | | | (2334) impl(true, all_42_2) = all_307_0
% 75.38/11.18 | | | | | | | | | | | | | (2335) lazy_impl(all_307_1, all_307_0) = all_307_2
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | DELTA: instantiating (2294) with fresh symbols all_309_0,
% 75.38/11.18 | | | | | | | | | | | | | all_309_1, all_309_2 gives:
% 75.38/11.18 | | | | | | | | | | | | | (2336) f1(true, false, all_42_2) = all_309_2 &
% 75.38/11.18 | | | | | | | | | | | | | lazy_impl(all_309_1, all_309_0) = all_309_2 &
% 75.38/11.18 | | | | | | | | | | | | | impl(true, all_42_2) = all_309_0 & prop(all_42_2)
% 75.38/11.18 | | | | | | | | | | | | | = all_309_1 & $i(all_309_0) & $i(all_309_1) &
% 75.38/11.18 | | | | | | | | | | | | | $i(all_309_2)
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | ALPHA: (2336) implies:
% 75.38/11.18 | | | | | | | | | | | | | (2337) prop(all_42_2) = all_309_1
% 75.38/11.18 | | | | | | | | | | | | | (2338) impl(true, all_42_2) = all_309_0
% 75.38/11.18 | | | | | | | | | | | | | (2339) lazy_impl(all_309_1, all_309_0) = all_309_2
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | DELTA: instantiating (2295) with fresh symbols all_311_0,
% 75.38/11.18 | | | | | | | | | | | | | all_311_1, all_311_2 gives:
% 75.38/11.18 | | | | | | | | | | | | | (2340) f1(false, false, all_42_2) = all_311_2 &
% 75.38/11.18 | | | | | | | | | | | | | lazy_impl(all_311_1, all_311_0) = all_311_2 &
% 75.38/11.18 | | | | | | | | | | | | | impl(true, all_42_2) = all_311_0 & prop(all_42_2)
% 75.38/11.18 | | | | | | | | | | | | | = all_311_1 & $i(all_311_0) & $i(all_311_1) &
% 75.38/11.18 | | | | | | | | | | | | | $i(all_311_2)
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | ALPHA: (2340) implies:
% 75.38/11.18 | | | | | | | | | | | | | (2341) prop(all_42_2) = all_311_1
% 75.38/11.18 | | | | | | | | | | | | | (2342) impl(true, all_42_2) = all_311_0
% 75.38/11.18 | | | | | | | | | | | | | (2343) lazy_impl(all_311_1, all_311_0) = all_311_2
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | DELTA: instantiating (2297) with fresh symbols all_313_0,
% 75.38/11.18 | | | | | | | | | | | | | all_313_1, all_313_2 gives:
% 75.38/11.18 | | | | | | | | | | | | | (2344) f1(true, false, all_44_1) = all_313_2 &
% 75.38/11.18 | | | | | | | | | | | | | lazy_impl(all_313_1, all_313_0) = all_313_2 &
% 75.38/11.18 | | | | | | | | | | | | | impl(true, all_44_1) = all_313_0 & prop(all_44_1)
% 75.38/11.18 | | | | | | | | | | | | | = all_313_1 & $i(all_313_0) & $i(all_313_1) &
% 75.38/11.18 | | | | | | | | | | | | | $i(all_313_2)
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | ALPHA: (2344) implies:
% 75.38/11.18 | | | | | | | | | | | | | (2345) prop(all_44_1) = all_313_1
% 75.38/11.18 | | | | | | | | | | | | | (2346) impl(true, all_44_1) = all_313_0
% 75.38/11.18 | | | | | | | | | | | | | (2347) lazy_impl(all_313_1, all_313_0) = all_313_2
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | DELTA: instantiating (2302) with fresh symbols all_315_0,
% 75.38/11.18 | | | | | | | | | | | | | all_315_1, all_315_2 gives:
% 75.38/11.18 | | | | | | | | | | | | | (2348) f1(false, true, all_42_2) = all_315_2 &
% 75.38/11.18 | | | | | | | | | | | | | lazy_impl(all_315_1, all_315_0) = all_315_2 &
% 75.38/11.18 | | | | | | | | | | | | | impl(true, all_42_2) = all_315_0 & prop(all_42_2)
% 75.38/11.18 | | | | | | | | | | | | | = all_315_1 & $i(all_315_0) & $i(all_315_1) &
% 75.38/11.18 | | | | | | | | | | | | | $i(all_315_2)
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | ALPHA: (2348) implies:
% 75.38/11.18 | | | | | | | | | | | | | (2349) prop(all_42_2) = all_315_1
% 75.38/11.18 | | | | | | | | | | | | | (2350) impl(true, all_42_2) = all_315_0
% 75.38/11.18 | | | | | | | | | | | | | (2351) lazy_impl(all_315_1, all_315_0) = all_315_2
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | DELTA: instantiating (2308) with fresh symbols all_317_0,
% 75.38/11.18 | | | | | | | | | | | | | all_317_1, all_317_2 gives:
% 75.38/11.18 | | | | | | | | | | | | | (2352) f2(true, all_42_2, err) = all_317_2 &
% 75.38/11.18 | | | | | | | | | | | | | lazy_impl(all_317_1, all_317_0) = all_317_2 &
% 75.38/11.18 | | | | | | | | | | | | | impl(err, err) = all_317_0 & prop(err) = all_317_1
% 75.38/11.18 | | | | | | | | | | | | | & $i(all_317_0) & $i(all_317_1) & $i(all_317_2)
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | ALPHA: (2352) implies:
% 75.38/11.18 | | | | | | | | | | | | | (2353) $i(all_317_1)
% 75.38/11.18 | | | | | | | | | | | | | (2354) prop(err) = all_317_1
% 75.38/11.18 | | | | | | | | | | | | | (2355) impl(err, err) = all_317_0
% 75.38/11.18 | | | | | | | | | | | | | (2356) lazy_impl(all_317_1, all_317_0) = all_317_2
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | DELTA: instantiating (2301) with fresh symbols all_319_0,
% 75.38/11.18 | | | | | | | | | | | | | all_319_1, all_319_2 gives:
% 75.38/11.18 | | | | | | | | | | | | | (2357) f1(true, true, all_42_2) = all_319_2 &
% 75.38/11.18 | | | | | | | | | | | | | lazy_impl(all_319_1, all_319_0) = all_319_2 &
% 75.38/11.18 | | | | | | | | | | | | | impl(all_42_2, all_42_2) = all_319_0 &
% 75.38/11.18 | | | | | | | | | | | | | prop(all_42_2) = all_319_1 & $i(all_319_0) &
% 75.38/11.18 | | | | | | | | | | | | | $i(all_319_1) & $i(all_319_2)
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | ALPHA: (2357) implies:
% 75.38/11.18 | | | | | | | | | | | | | (2358) prop(all_42_2) = all_319_1
% 75.38/11.18 | | | | | | | | | | | | | (2359) impl(all_42_2, all_42_2) = all_319_0
% 75.38/11.18 | | | | | | | | | | | | | (2360) lazy_impl(all_319_1, all_319_0) = all_319_2
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | DELTA: instantiating (2309) with fresh symbols all_321_0,
% 75.38/11.18 | | | | | | | | | | | | | all_321_1, all_321_2 gives:
% 75.38/11.18 | | | | | | | | | | | | | (2361) f2(true, true, all_42_2) = all_321_2 &
% 75.38/11.18 | | | | | | | | | | | | | lazy_impl(all_321_1, all_321_0) = all_321_2 &
% 75.38/11.18 | | | | | | | | | | | | | impl(all_42_2, all_42_2) = all_321_0 &
% 75.38/11.18 | | | | | | | | | | | | | prop(all_42_2) = all_321_1 & $i(all_321_0) &
% 75.38/11.18 | | | | | | | | | | | | | $i(all_321_1) & $i(all_321_2)
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | ALPHA: (2361) implies:
% 75.38/11.18 | | | | | | | | | | | | | (2362) $i(all_321_0)
% 75.38/11.18 | | | | | | | | | | | | | (2363) prop(all_42_2) = all_321_1
% 75.38/11.18 | | | | | | | | | | | | | (2364) impl(all_42_2, all_42_2) = all_321_0
% 75.38/11.18 | | | | | | | | | | | | | (2365) lazy_impl(all_321_1, all_321_0) = all_321_2
% 75.38/11.18 | | | | | | | | | | | | | (2366) f2(true, true, all_42_2) = all_321_2
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | DELTA: instantiating (2304) with fresh symbols all_323_0,
% 75.38/11.18 | | | | | | | | | | | | | all_323_1, all_323_2 gives:
% 75.38/11.18 | | | | | | | | | | | | | (2367) f1(true, true, all_44_1) = all_323_2 &
% 75.38/11.18 | | | | | | | | | | | | | lazy_impl(all_323_1, all_323_0) = all_323_2 &
% 75.38/11.18 | | | | | | | | | | | | | impl(all_44_1, all_44_1) = all_323_0 &
% 75.38/11.18 | | | | | | | | | | | | | prop(all_44_1) = all_323_1 & $i(all_323_0) &
% 75.38/11.18 | | | | | | | | | | | | | $i(all_323_1) & $i(all_323_2)
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | ALPHA: (2367) implies:
% 75.38/11.18 | | | | | | | | | | | | | (2368) prop(all_44_1) = all_323_1
% 75.38/11.18 | | | | | | | | | | | | | (2369) impl(all_44_1, all_44_1) = all_323_0
% 75.38/11.18 | | | | | | | | | | | | | (2370) lazy_impl(all_323_1, all_323_0) = all_323_2
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | DELTA: instantiating (2307) with fresh symbols all_325_0,
% 75.38/11.18 | | | | | | | | | | | | | all_325_1, all_325_2 gives:
% 75.38/11.18 | | | | | | | | | | | | | (2371) f1(all_42_2, all_42_2, err) = all_325_2 &
% 75.38/11.18 | | | | | | | | | | | | | lazy_impl(all_325_1, all_325_0) = all_325_2 &
% 75.38/11.18 | | | | | | | | | | | | | impl(err, err) = all_325_0 & prop(err) = all_325_1
% 75.38/11.18 | | | | | | | | | | | | | & $i(all_325_0) & $i(all_325_1) & $i(all_325_2)
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | ALPHA: (2371) implies:
% 75.38/11.18 | | | | | | | | | | | | | (2372) $i(all_325_0)
% 75.38/11.18 | | | | | | | | | | | | | (2373) prop(err) = all_325_1
% 75.38/11.18 | | | | | | | | | | | | | (2374) impl(err, err) = all_325_0
% 75.38/11.18 | | | | | | | | | | | | | (2375) lazy_impl(all_325_1, all_325_0) = all_325_2
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | DELTA: instantiating (2306) with fresh symbols all_327_0,
% 75.38/11.18 | | | | | | | | | | | | | all_327_1, all_327_2 gives:
% 75.38/11.18 | | | | | | | | | | | | | (2376) f2(true, true, all_44_1) = all_327_2 &
% 75.38/11.18 | | | | | | | | | | | | | lazy_impl(all_327_1, all_327_0) = all_327_2 &
% 75.38/11.18 | | | | | | | | | | | | | impl(all_44_0, all_44_1) = all_327_0 &
% 75.38/11.18 | | | | | | | | | | | | | prop(all_44_1) = all_327_1 & $i(all_327_0) &
% 75.38/11.18 | | | | | | | | | | | | | $i(all_327_1) & $i(all_327_2)
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | ALPHA: (2376) implies:
% 75.38/11.18 | | | | | | | | | | | | | (2377) prop(all_44_1) = all_327_1
% 75.38/11.18 | | | | | | | | | | | | | (2378) impl(all_44_0, all_44_1) = all_327_0
% 75.38/11.18 | | | | | | | | | | | | | (2379) lazy_impl(all_327_1, all_327_0) = all_327_2
% 75.38/11.18 | | | | | | | | | | | | | (2380) f2(true, true, all_44_1) = all_327_2
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | DELTA: instantiating (2305) with fresh symbols all_329_0,
% 75.38/11.18 | | | | | | | | | | | | | all_329_1, all_329_2 gives:
% 75.38/11.18 | | | | | | | | | | | | | (2381) f1(false, true, all_44_1) = all_329_2 &
% 75.38/11.18 | | | | | | | | | | | | | lazy_impl(all_329_1, all_329_0) = all_329_2 &
% 75.38/11.18 | | | | | | | | | | | | | impl(true, all_44_1) = all_329_0 & prop(all_44_1)
% 75.38/11.18 | | | | | | | | | | | | | = all_329_1 & $i(all_329_0) & $i(all_329_1) &
% 75.38/11.18 | | | | | | | | | | | | | $i(all_329_2)
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | ALPHA: (2381) implies:
% 75.38/11.18 | | | | | | | | | | | | | (2382) prop(all_44_1) = all_329_1
% 75.38/11.18 | | | | | | | | | | | | | (2383) impl(true, all_44_1) = all_329_0
% 75.38/11.18 | | | | | | | | | | | | | (2384) lazy_impl(all_329_1, all_329_0) = all_329_2
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | GROUND_INST: instantiating (43) with false, all_325_1, err,
% 75.38/11.18 | | | | | | | | | | | | | simplifying with (2281), (2373) gives:
% 75.38/11.18 | | | | | | | | | | | | | (2385) all_325_1 = false
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_317_1, all_325_1, err,
% 75.38/11.18 | | | | | | | | | | | | | simplifying with (2354), (2373) gives:
% 75.38/11.18 | | | | | | | | | | | | | (2386) all_325_1 = all_317_1
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_311_1, all_315_1,
% 75.38/11.18 | | | | | | | | | | | | | all_42_2, simplifying with (2341), (2349) gives:
% 75.38/11.18 | | | | | | | | | | | | | (2387) all_315_1 = all_311_1
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_309_1, all_315_1,
% 75.38/11.18 | | | | | | | | | | | | | all_42_2, simplifying with (2337), (2349) gives:
% 75.38/11.18 | | | | | | | | | | | | | (2388) all_315_1 = all_309_1
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_311_1, all_319_1,
% 75.38/11.18 | | | | | | | | | | | | | all_42_2, simplifying with (2341), (2358) gives:
% 75.38/11.18 | | | | | | | | | | | | | (2389) all_319_1 = all_311_1
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_301_0, all_319_1,
% 75.38/11.18 | | | | | | | | | | | | | all_42_2, simplifying with (2321), (2358) gives:
% 75.38/11.18 | | | | | | | | | | | | | (2390) all_319_1 = all_301_0
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | GROUND_INST: instantiating (43) with true, all_321_1, all_42_2,
% 75.38/11.18 | | | | | | | | | | | | | simplifying with (2265), (2363) gives:
% 75.38/11.18 | | | | | | | | | | | | | (2391) all_321_1 = true
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_315_1, all_321_1,
% 75.38/11.18 | | | | | | | | | | | | | all_42_2, simplifying with (2349), (2363) gives:
% 75.38/11.18 | | | | | | | | | | | | | (2392) all_321_1 = all_315_1
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_307_1, all_321_1,
% 75.38/11.18 | | | | | | | | | | | | | all_42_2, simplifying with (2333), (2363) gives:
% 75.38/11.18 | | | | | | | | | | | | | (2393) all_321_1 = all_307_1
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_297_0, all_303_1,
% 75.38/11.18 | | | | | | | | | | | | | all_44_1, simplifying with (2317), (2325) gives:
% 75.38/11.18 | | | | | | | | | | | | | (2394) all_303_1 = all_297_0
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | GROUND_INST: instantiating (43) with true, all_323_1, all_44_1,
% 75.38/11.18 | | | | | | | | | | | | | simplifying with (2259), (2368) gives:
% 75.38/11.18 | | | | | | | | | | | | | (2395) all_323_1 = true
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_313_1, all_323_1,
% 75.38/11.18 | | | | | | | | | | | | | all_44_1, simplifying with (2345), (2368) gives:
% 75.38/11.18 | | | | | | | | | | | | | (2396) all_323_1 = all_313_1
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_303_1, all_323_1,
% 75.38/11.18 | | | | | | | | | | | | | all_44_1, simplifying with (2325), (2368) gives:
% 75.38/11.18 | | | | | | | | | | | | | (2397) all_323_1 = all_303_1
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_327_1, all_329_1,
% 75.38/11.18 | | | | | | | | | | | | | all_44_1, simplifying with (2377), (2382) gives:
% 75.38/11.18 | | | | | | | | | | | | | (2398) all_329_1 = all_327_1
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_323_1, all_329_1,
% 75.38/11.18 | | | | | | | | | | | | | all_44_1, simplifying with (2368), (2382) gives:
% 75.38/11.18 | | | | | | | | | | | | | (2399) all_329_1 = all_323_1
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_305_1, all_329_1,
% 75.38/11.18 | | | | | | | | | | | | | all_44_1, simplifying with (2329), (2382) gives:
% 75.38/11.18 | | | | | | | | | | | | | (2400) all_329_1 = all_305_1
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | GROUND_INST: instantiating (47) with all_42_2, all_309_0,
% 75.38/11.18 | | | | | | | | | | | | | all_42_2, true, simplifying with (2263), (2338)
% 75.38/11.18 | | | | | | | | | | | | | gives:
% 75.38/11.18 | | | | | | | | | | | | | (2401) all_309_0 = all_42_2
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | GROUND_INST: instantiating (47) with all_309_0, all_311_0,
% 75.38/11.18 | | | | | | | | | | | | | all_42_2, true, simplifying with (2338), (2342)
% 75.38/11.18 | | | | | | | | | | | | | gives:
% 75.38/11.18 | | | | | | | | | | | | | (2402) all_311_0 = all_309_0
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | GROUND_INST: instantiating (47) with all_311_0, all_315_0,
% 75.38/11.18 | | | | | | | | | | | | | all_42_2, true, simplifying with (2342), (2350)
% 75.38/11.18 | | | | | | | | | | | | | gives:
% 75.38/11.18 | | | | | | | | | | | | | (2403) all_315_0 = all_311_0
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | GROUND_INST: instantiating (47) with all_307_0, all_315_0,
% 75.38/11.18 | | | | | | | | | | | | | all_42_2, true, simplifying with (2334), (2350)
% 75.38/11.18 | | | | | | | | | | | | | gives:
% 75.38/11.18 | | | | | | | | | | | | | (2404) all_315_0 = all_307_0
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | GROUND_INST: instantiating (47) with all_44_1, all_313_0,
% 75.38/11.18 | | | | | | | | | | | | | all_44_1, true, simplifying with (2268), (2346)
% 75.38/11.18 | | | | | | | | | | | | | gives:
% 75.38/11.18 | | | | | | | | | | | | | (2405) all_313_0 = all_44_1
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | GROUND_INST: instantiating (47) with all_303_0, all_313_0,
% 75.38/11.18 | | | | | | | | | | | | | all_44_1, true, simplifying with (2326), (2346)
% 75.38/11.18 | | | | | | | | | | | | | gives:
% 75.38/11.18 | | | | | | | | | | | | | (2406) all_313_0 = all_303_0
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | GROUND_INST: instantiating (47) with all_313_0, all_329_0,
% 75.38/11.18 | | | | | | | | | | | | | all_44_1, true, simplifying with (2346), (2383)
% 75.38/11.18 | | | | | | | | | | | | | gives:
% 75.38/11.18 | | | | | | | | | | | | | (2407) all_329_0 = all_313_0
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | GROUND_INST: instantiating (47) with all_305_0, all_329_0,
% 75.38/11.18 | | | | | | | | | | | | | all_44_1, true, simplifying with (2330), (2383)
% 75.38/11.18 | | | | | | | | | | | | | gives:
% 75.38/11.18 | | | | | | | | | | | | | (2408) all_329_0 = all_305_0
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | GROUND_INST: instantiating (47) with all_317_0, all_325_0, err,
% 75.38/11.18 | | | | | | | | | | | | | err, simplifying with (2355), (2374) gives:
% 75.38/11.18 | | | | | | | | | | | | | (2409) all_325_0 = all_317_0
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | GROUND_INST: instantiating (47) with all_319_0, all_321_0,
% 75.38/11.18 | | | | | | | | | | | | | all_42_2, all_42_2, simplifying with (2359),
% 75.38/11.18 | | | | | | | | | | | | | (2364) gives:
% 75.38/11.18 | | | | | | | | | | | | | (2410) all_321_0 = all_319_0
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_42_2, all_291_0,
% 75.38/11.18 | | | | | | | | | | | | | all_42_2, true, simplifying with (2276), (2311)
% 75.38/11.18 | | | | | | | | | | | | | gives:
% 75.38/11.18 | | | | | | | | | | | | | (2411) all_291_0 = all_42_2
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | COMBINE_EQS: (2407), (2408) imply:
% 75.38/11.18 | | | | | | | | | | | | | (2412) all_313_0 = all_305_0
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | SIMP: (2412) implies:
% 75.38/11.18 | | | | | | | | | | | | | (2413) all_313_0 = all_305_0
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | COMBINE_EQS: (2398), (2399) imply:
% 75.38/11.18 | | | | | | | | | | | | | (2414) all_327_1 = all_323_1
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | COMBINE_EQS: (2398), (2400) imply:
% 75.38/11.18 | | | | | | | | | | | | | (2415) all_327_1 = all_305_1
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | COMBINE_EQS: (2414), (2415) imply:
% 75.38/11.18 | | | | | | | | | | | | | (2416) all_323_1 = all_305_1
% 75.38/11.18 | | | | | | | | | | | | |
% 75.38/11.18 | | | | | | | | | | | | | SIMP: (2416) implies:
% 75.38/11.18 | | | | | | | | | | | | | (2417) all_323_1 = all_305_1
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2385), (2386) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2418) all_317_1 = false
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2395), (2396) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2419) all_313_1 = true
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2396), (2397) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2420) all_313_1 = all_303_1
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2396), (2417) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2421) all_313_1 = all_305_1
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2392), (2393) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2422) all_315_1 = all_307_1
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | SIMP: (2422) implies:
% 75.38/11.19 | | | | | | | | | | | | | (2423) all_315_1 = all_307_1
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2391), (2393) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2424) all_307_1 = true
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2389), (2390) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2425) all_311_1 = all_301_0
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | SIMP: (2425) implies:
% 75.38/11.19 | | | | | | | | | | | | | (2426) all_311_1 = all_301_0
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2403), (2404) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2427) all_311_0 = all_307_0
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | SIMP: (2427) implies:
% 75.38/11.19 | | | | | | | | | | | | | (2428) all_311_0 = all_307_0
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2387), (2388) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2429) all_311_1 = all_309_1
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | SIMP: (2429) implies:
% 75.38/11.19 | | | | | | | | | | | | | (2430) all_311_1 = all_309_1
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2388), (2423) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2431) all_309_1 = all_307_1
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2406), (2413) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2432) all_305_0 = all_303_0
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2405), (2413) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2433) all_305_0 = all_44_1
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2420), (2421) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2434) all_305_1 = all_303_1
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2419), (2421) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2435) all_305_1 = true
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2402), (2428) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2436) all_309_0 = all_307_0
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | SIMP: (2436) implies:
% 75.38/11.19 | | | | | | | | | | | | | (2437) all_309_0 = all_307_0
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2426), (2430) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2438) all_309_1 = all_301_0
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | SIMP: (2438) implies:
% 75.38/11.19 | | | | | | | | | | | | | (2439) all_309_1 = all_301_0
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2401), (2437) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2440) all_307_0 = all_42_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2431), (2439) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2441) all_307_1 = all_301_0
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | SIMP: (2441) implies:
% 75.38/11.19 | | | | | | | | | | | | | (2442) all_307_1 = all_301_0
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2424), (2442) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2443) all_301_0 = true
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2432), (2433) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2444) all_303_0 = all_44_1
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | SIMP: (2444) implies:
% 75.38/11.19 | | | | | | | | | | | | | (2445) all_303_0 = all_44_1
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2434), (2435) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2446) all_303_1 = true
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | SIMP: (2446) implies:
% 75.38/11.19 | | | | | | | | | | | | | (2447) all_303_1 = true
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2394), (2447) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2448) all_297_0 = true
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | SIMP: (2448) implies:
% 75.38/11.19 | | | | | | | | | | | | | (2449) all_297_0 = true
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2439), (2443) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2450) all_309_1 = true
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2426), (2443) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2451) all_311_1 = true
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2428), (2440) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2452) all_311_0 = all_42_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2388), (2450) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2453) all_315_1 = true
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2404), (2440) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2454) all_315_0 = all_42_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2390), (2443) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2455) all_319_1 = true
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2415), (2435) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2456) all_327_1 = true
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2398), (2456) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2457) all_329_1 = true
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2408), (2433) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2458) all_329_0 = all_44_1
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | REDUCE: (2384), (2457), (2458) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2459) lazy_impl(true, all_44_1) = all_329_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | REDUCE: (2379), (2456) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2460) lazy_impl(true, all_327_0) = all_327_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | REDUCE: (2375), (2385), (2409) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2461) lazy_impl(false, all_317_0) = all_325_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | REDUCE: (2370), (2395) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2462) lazy_impl(true, all_323_0) = all_323_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | REDUCE: (2365), (2391), (2410) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2463) lazy_impl(true, all_319_0) = all_321_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | REDUCE: (2360), (2455) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2464) lazy_impl(true, all_319_0) = all_319_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | REDUCE: (2356), (2418) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2465) lazy_impl(false, all_317_0) = all_317_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | REDUCE: (2351), (2453), (2454) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2466) lazy_impl(true, all_42_2) = all_315_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | REDUCE: (2347), (2405), (2419) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2467) lazy_impl(true, all_44_1) = all_313_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | REDUCE: (2343), (2451), (2452) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2468) lazy_impl(true, all_42_2) = all_311_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | REDUCE: (2339), (2401), (2450) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2469) lazy_impl(true, all_42_2) = all_309_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | REDUCE: (2335), (2424), (2440) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2470) lazy_impl(true, all_42_2) = all_307_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | REDUCE: (2331), (2433), (2435) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2471) lazy_impl(true, all_44_1) = all_305_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | REDUCE: (2327), (2445), (2447) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2472) lazy_impl(true, all_44_1) = all_303_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | REDUCE: (2322), (2443) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2473) lazy_impl(true, all_42_2) = all_301_1
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | REDUCE: (2318), (2449) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2474) lazy_impl(true, all_44_1) = all_297_1
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | REDUCE: (2372), (2409) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2475) $i(all_317_0)
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | REDUCE: (2362), (2410) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2476) $i(all_319_0)
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_317_2, all_325_2,
% 75.38/11.19 | | | | | | | | | | | | | all_317_0, false, simplifying with (2461), (2465)
% 75.38/11.19 | | | | | | | | | | | | | gives:
% 75.38/11.19 | | | | | | | | | | | | | (2477) all_325_2 = all_317_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_307_2, all_309_2,
% 75.38/11.19 | | | | | | | | | | | | | all_42_2, true, simplifying with (2469), (2470)
% 75.38/11.19 | | | | | | | | | | | | | gives:
% 75.38/11.19 | | | | | | | | | | | | | (2478) all_309_2 = all_307_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_309_2, all_311_2,
% 75.38/11.19 | | | | | | | | | | | | | all_42_2, true, simplifying with (2468), (2469)
% 75.38/11.19 | | | | | | | | | | | | | gives:
% 75.38/11.19 | | | | | | | | | | | | | (2479) all_311_2 = all_309_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_301_1, all_311_2,
% 75.38/11.19 | | | | | | | | | | | | | all_42_2, true, simplifying with (2468), (2473)
% 75.38/11.19 | | | | | | | | | | | | | gives:
% 75.38/11.19 | | | | | | | | | | | | | (2480) all_311_2 = all_301_1
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_42_2, all_315_2,
% 75.38/11.19 | | | | | | | | | | | | | all_42_2, true, simplifying with (2276), (2466)
% 75.38/11.19 | | | | | | | | | | | | | gives:
% 75.38/11.19 | | | | | | | | | | | | | (2481) all_315_2 = all_42_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_309_2, all_315_2,
% 75.38/11.19 | | | | | | | | | | | | | all_42_2, true, simplifying with (2466), (2469)
% 75.38/11.19 | | | | | | | | | | | | | gives:
% 75.38/11.19 | | | | | | | | | | | | | (2482) all_315_2 = all_309_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_44_0, all_303_2,
% 75.38/11.19 | | | | | | | | | | | | | all_44_1, true, simplifying with (2257), (2472)
% 75.38/11.19 | | | | | | | | | | | | | gives:
% 75.38/11.19 | | | | | | | | | | | | | (2483) all_303_2 = all_44_0
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_305_2, all_313_2,
% 75.38/11.19 | | | | | | | | | | | | | all_44_1, true, simplifying with (2467), (2471)
% 75.38/11.19 | | | | | | | | | | | | | gives:
% 75.38/11.19 | | | | | | | | | | | | | (2484) all_313_2 = all_305_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_303_2, all_313_2,
% 75.38/11.19 | | | | | | | | | | | | | all_44_1, true, simplifying with (2467), (2472)
% 75.38/11.19 | | | | | | | | | | | | | gives:
% 75.38/11.19 | | | | | | | | | | | | | (2485) all_313_2 = all_303_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_313_2, all_329_2,
% 75.38/11.19 | | | | | | | | | | | | | all_44_1, true, simplifying with (2459), (2467)
% 75.38/11.19 | | | | | | | | | | | | | gives:
% 75.38/11.19 | | | | | | | | | | | | | (2486) all_329_2 = all_313_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_297_1, all_329_2,
% 75.38/11.19 | | | | | | | | | | | | | all_44_1, true, simplifying with (2459), (2474)
% 75.38/11.19 | | | | | | | | | | | | | gives:
% 75.38/11.19 | | | | | | | | | | | | | (2487) all_329_2 = all_297_1
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_319_2, all_321_2,
% 75.38/11.19 | | | | | | | | | | | | | all_319_0, true, simplifying with (2463), (2464)
% 75.38/11.19 | | | | | | | | | | | | | gives:
% 75.38/11.19 | | | | | | | | | | | | | (2488) all_321_2 = all_319_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2486), (2487) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2489) all_313_2 = all_297_1
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | SIMP: (2489) implies:
% 75.38/11.19 | | | | | | | | | | | | | (2490) all_313_2 = all_297_1
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2481), (2482) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2491) all_309_2 = all_42_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | SIMP: (2491) implies:
% 75.38/11.19 | | | | | | | | | | | | | (2492) all_309_2 = all_42_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2484), (2485) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2493) all_305_2 = all_303_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2484), (2490) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2494) all_305_2 = all_297_1
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2479), (2480) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2495) all_309_2 = all_301_1
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | SIMP: (2495) implies:
% 75.38/11.19 | | | | | | | | | | | | | (2496) all_309_2 = all_301_1
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2478), (2496) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2497) all_307_2 = all_301_1
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2478), (2492) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2498) all_307_2 = all_42_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2497), (2498) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2499) all_301_1 = all_42_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2493), (2494) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2500) all_303_2 = all_297_1
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | SIMP: (2500) implies:
% 75.38/11.19 | | | | | | | | | | | | | (2501) all_303_2 = all_297_1
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | COMBINE_EQS: (2483), (2501) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2502) all_297_1 = all_44_0
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | REDUCE: (2366), (2488) imply:
% 75.38/11.19 | | | | | | | | | | | | | (2503) f2(true, true, all_42_2) = all_319_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | GROUND_INST: instantiating (25) with err, all_42_2, err, err,
% 75.38/11.19 | | | | | | | | | | | | | all_317_0, simplifying with (11), (54), (2291),
% 75.38/11.19 | | | | | | | | | | | | | (2355) gives:
% 75.38/11.19 | | | | | | | | | | | | | (2504) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (f1(err,
% 75.38/11.19 | | | | | | | | | | | | | all_42_2, err) = v0 & lazy_impl(v1, v2) = v0 &
% 75.38/11.19 | | | | | | | | | | | | | impl(all_317_0, err) = v2 & prop(err) = v1 &
% 75.38/11.19 | | | | | | | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | GROUND_INST: instantiating (impl_axiom1) with err, err,
% 75.38/11.19 | | | | | | | | | | | | | all_317_0, simplifying with (11), (2355) gives:
% 75.38/11.19 | | | | | | | | | | | | | (2505) ? [v0: any] : ? [v1: $i] : (phi(err) = v1 &
% 75.38/11.19 | | | | | | | | | | | | | bool(err) = v0 & $i(v1) & (v1 = all_317_0 | v0 =
% 75.38/11.19 | | | | | | | | | | | | | 0))
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | GROUND_INST: instantiating (28) with true, false, all_42_2,
% 75.38/11.19 | | | | | | | | | | | | | all_42_2, true, all_42_2, all_319_0, simplifying
% 75.38/11.19 | | | | | | | | | | | | | with (35), (36), (54), (2263), (2264), (2359)
% 75.38/11.19 | | | | | | | | | | | | | gives:
% 75.38/11.19 | | | | | | | | | | | | | (2506) ? [v0: $i] : ? [v1: $i] : (f3(true, false,
% 75.38/11.19 | | | | | | | | | | | | | all_42_2) = v0 & lazy_impl(v1, all_319_0) = v0
% 75.38/11.19 | | | | | | | | | | | | | & prop(all_42_2) = v1 & $i(v1) & $i(v0))
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_42_2, true, all_42_2,
% 75.38/11.19 | | | | | | | | | | | | | all_42_2, all_319_0, simplifying with (36), (54),
% 75.38/11.19 | | | | | | | | | | | | | (2263), (2359) gives:
% 75.38/11.19 | | | | | | | | | | | | | (2507) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.19 | | | | | | | | | | | | | (f1(all_42_2, true, all_42_2) = v0 & lazy_impl(v1,
% 75.38/11.19 | | | | | | | | | | | | | v2) = v0 & impl(all_319_0, all_42_2) = v2 &
% 75.38/11.19 | | | | | | | | | | | | | prop(all_42_2) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | GROUND_INST: instantiating (impl_axiom1) with all_44_0,
% 75.38/11.19 | | | | | | | | | | | | | all_44_1, all_327_0, simplifying with (58), (59),
% 75.38/11.19 | | | | | | | | | | | | | (2378) gives:
% 75.38/11.19 | | | | | | | | | | | | | (2508) ? [v0: any] : ? [v1: $i] : (phi(all_44_0) = v1 &
% 75.38/11.19 | | | | | | | | | | | | | bool(all_44_0) = v0 & $i(v1) & (v1 = all_327_0 |
% 75.38/11.19 | | | | | | | | | | | | | v0 = 0))
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | GROUND_INST: instantiating (27) with false, all_42_2, err, err,
% 75.38/11.19 | | | | | | | | | | | | | all_293_0, simplifying with (11), (35), (54),
% 75.38/11.19 | | | | | | | | | | | | | (2291), (2313) gives:
% 75.38/11.19 | | | | | | | | | | | | | (2509) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.19 | | | | | | | | | | | | | (f2(false, all_42_2, err) = v0 & lazy_impl(v1, v2)
% 75.38/11.19 | | | | | | | | | | | | | = v0 & impl(all_293_0, err) = v2 & prop(err) =
% 75.38/11.19 | | | | | | | | | | | | | v1 & $i(v2) & $i(v1) & $i(v0))
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | GROUND_INST: instantiating (27) with false, err, err,
% 75.38/11.19 | | | | | | | | | | | | | all_317_0, all_317_2, simplifying with (11), (35),
% 75.38/11.19 | | | | | | | | | | | | | (2355), (2465) gives:
% 75.38/11.19 | | | | | | | | | | | | | (2510) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.19 | | | | | | | | | | | | | (f2(false, err, err) = v0 & lazy_impl(v1, v2) = v0
% 75.38/11.19 | | | | | | | | | | | | | & impl(all_317_2, err) = v2 & prop(err) = v1 &
% 75.38/11.19 | | | | | | | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_317_0, all_317_2,
% 75.38/11.19 | | | | | | | | | | | | | simplifying with (2465), (2475) gives:
% 75.38/11.19 | | | | | | | | | | | | | (2511) all_317_2 = true
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | GROUND_INST: instantiating (27) with true, all_42_2, all_42_2,
% 75.38/11.19 | | | | | | | | | | | | | all_319_0, all_319_2, simplifying with (36), (54),
% 75.38/11.19 | | | | | | | | | | | | | (2359), (2464) gives:
% 75.38/11.19 | | | | | | | | | | | | | (2512) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.19 | | | | | | | | | | | | | (f2(true, all_42_2, all_42_2) = v0 & lazy_impl(v1,
% 75.38/11.19 | | | | | | | | | | | | | v2) = v0 & impl(all_319_2, all_42_2) = v2 &
% 75.38/11.19 | | | | | | | | | | | | | prop(all_42_2) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_319_0, all_319_2,
% 75.38/11.19 | | | | | | | | | | | | | simplifying with (2464), (2476) gives:
% 75.38/11.19 | | | | | | | | | | | | | (2513) phi(all_319_0) = all_319_2 & $i(all_319_2)
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | ALPHA: (2513) implies:
% 75.38/11.19 | | | | | | | | | | | | | (2514) phi(all_319_0) = all_319_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | GROUND_INST: instantiating (27) with true, all_44_1, all_44_1,
% 75.38/11.19 | | | | | | | | | | | | | all_323_0, all_323_2, simplifying with (36), (58),
% 75.38/11.19 | | | | | | | | | | | | | (2369), (2462) gives:
% 75.38/11.19 | | | | | | | | | | | | | (2515) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.19 | | | | | | | | | | | | | (f2(true, all_44_1, all_44_1) = v0 & lazy_impl(v1,
% 75.38/11.19 | | | | | | | | | | | | | v2) = v0 & impl(all_323_2, all_44_1) = v2 &
% 75.38/11.19 | | | | | | | | | | | | | prop(all_44_1) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | DELTA: instantiating (2508) with fresh symbols all_351_0,
% 75.38/11.19 | | | | | | | | | | | | | all_351_1 gives:
% 75.38/11.19 | | | | | | | | | | | | | (2516) phi(all_44_0) = all_351_0 & bool(all_44_0) =
% 75.38/11.19 | | | | | | | | | | | | | all_351_1 & $i(all_351_0) & (all_351_0 = all_327_0
% 75.38/11.19 | | | | | | | | | | | | | | all_351_1 = 0)
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | ALPHA: (2516) implies:
% 75.38/11.19 | | | | | | | | | | | | | (2517) bool(all_44_0) = all_351_1
% 75.38/11.19 | | | | | | | | | | | | | (2518) phi(all_44_0) = all_351_0
% 75.38/11.19 | | | | | | | | | | | | | (2519) all_351_0 = all_327_0 | all_351_1 = 0
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | DELTA: instantiating (2506) with fresh symbols all_353_0,
% 75.38/11.19 | | | | | | | | | | | | | all_353_1 gives:
% 75.38/11.19 | | | | | | | | | | | | | (2520) f3(true, false, all_42_2) = all_353_1 &
% 75.38/11.19 | | | | | | | | | | | | | lazy_impl(all_353_0, all_319_0) = all_353_1 &
% 75.38/11.19 | | | | | | | | | | | | | prop(all_42_2) = all_353_0 & $i(all_353_0) &
% 75.38/11.19 | | | | | | | | | | | | | $i(all_353_1)
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | ALPHA: (2520) implies:
% 75.38/11.19 | | | | | | | | | | | | | (2521) prop(all_42_2) = all_353_0
% 75.38/11.19 | | | | | | | | | | | | | (2522) lazy_impl(all_353_0, all_319_0) = all_353_1
% 75.38/11.19 | | | | | | | | | | | | | (2523) f3(true, false, all_42_2) = all_353_1
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | DELTA: instantiating (2505) with fresh symbols all_355_0,
% 75.38/11.19 | | | | | | | | | | | | | all_355_1 gives:
% 75.38/11.19 | | | | | | | | | | | | | (2524) phi(err) = all_355_0 & bool(err) = all_355_1 &
% 75.38/11.19 | | | | | | | | | | | | | $i(all_355_0) & (all_355_0 = all_317_0 | all_355_1
% 75.38/11.19 | | | | | | | | | | | | | = 0)
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | ALPHA: (2524) implies:
% 75.38/11.19 | | | | | | | | | | | | | (2525) bool(err) = all_355_1
% 75.38/11.19 | | | | | | | | | | | | | (2526) phi(err) = all_355_0
% 75.38/11.19 | | | | | | | | | | | | | (2527) all_355_0 = all_317_0 | all_355_1 = 0
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | DELTA: instantiating (2504) with fresh symbols all_359_0,
% 75.38/11.19 | | | | | | | | | | | | | all_359_1, all_359_2 gives:
% 75.38/11.19 | | | | | | | | | | | | | (2528) f1(err, all_42_2, err) = all_359_2 &
% 75.38/11.19 | | | | | | | | | | | | | lazy_impl(all_359_1, all_359_0) = all_359_2 &
% 75.38/11.19 | | | | | | | | | | | | | impl(all_317_0, err) = all_359_0 & prop(err) =
% 75.38/11.19 | | | | | | | | | | | | | all_359_1 & $i(all_359_0) & $i(all_359_1) &
% 75.38/11.19 | | | | | | | | | | | | | $i(all_359_2)
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | ALPHA: (2528) implies:
% 75.38/11.19 | | | | | | | | | | | | | (2529) $i(all_359_2)
% 75.38/11.19 | | | | | | | | | | | | | (2530) prop(err) = all_359_1
% 75.38/11.19 | | | | | | | | | | | | | (2531) impl(all_317_0, err) = all_359_0
% 75.38/11.19 | | | | | | | | | | | | | (2532) lazy_impl(all_359_1, all_359_0) = all_359_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | DELTA: instantiating (2512) with fresh symbols all_363_0,
% 75.38/11.19 | | | | | | | | | | | | | all_363_1, all_363_2 gives:
% 75.38/11.19 | | | | | | | | | | | | | (2533) f2(true, all_42_2, all_42_2) = all_363_2 &
% 75.38/11.19 | | | | | | | | | | | | | lazy_impl(all_363_1, all_363_0) = all_363_2 &
% 75.38/11.19 | | | | | | | | | | | | | impl(all_319_2, all_42_2) = all_363_0 &
% 75.38/11.19 | | | | | | | | | | | | | prop(all_42_2) = all_363_1 & $i(all_363_0) &
% 75.38/11.19 | | | | | | | | | | | | | $i(all_363_1) & $i(all_363_2)
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | ALPHA: (2533) implies:
% 75.38/11.19 | | | | | | | | | | | | | (2534) prop(all_42_2) = all_363_1
% 75.38/11.19 | | | | | | | | | | | | | (2535) impl(all_319_2, all_42_2) = all_363_0
% 75.38/11.19 | | | | | | | | | | | | | (2536) lazy_impl(all_363_1, all_363_0) = all_363_2
% 75.38/11.19 | | | | | | | | | | | | | (2537) f2(true, all_42_2, all_42_2) = all_363_2
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | DELTA: instantiating (2510) with fresh symbols all_365_0,
% 75.38/11.19 | | | | | | | | | | | | | all_365_1, all_365_2 gives:
% 75.38/11.19 | | | | | | | | | | | | | (2538) f2(false, err, err) = all_365_2 &
% 75.38/11.19 | | | | | | | | | | | | | lazy_impl(all_365_1, all_365_0) = all_365_2 &
% 75.38/11.19 | | | | | | | | | | | | | impl(all_317_2, err) = all_365_0 & prop(err) =
% 75.38/11.19 | | | | | | | | | | | | | all_365_1 & $i(all_365_0) & $i(all_365_1) &
% 75.38/11.19 | | | | | | | | | | | | | $i(all_365_2)
% 75.38/11.19 | | | | | | | | | | | | |
% 75.38/11.19 | | | | | | | | | | | | | ALPHA: (2538) implies:
% 75.38/11.20 | | | | | | | | | | | | | (2539) prop(err) = all_365_1
% 75.38/11.20 | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | DELTA: instantiating (2507) with fresh symbols all_367_0,
% 75.38/11.20 | | | | | | | | | | | | | all_367_1, all_367_2 gives:
% 75.38/11.20 | | | | | | | | | | | | | (2540) f1(all_42_2, true, all_42_2) = all_367_2 &
% 75.38/11.20 | | | | | | | | | | | | | lazy_impl(all_367_1, all_367_0) = all_367_2 &
% 75.38/11.20 | | | | | | | | | | | | | impl(all_319_0, all_42_2) = all_367_0 &
% 75.38/11.20 | | | | | | | | | | | | | prop(all_42_2) = all_367_1 & $i(all_367_0) &
% 75.38/11.20 | | | | | | | | | | | | | $i(all_367_1) & $i(all_367_2)
% 75.38/11.20 | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | ALPHA: (2540) implies:
% 75.38/11.20 | | | | | | | | | | | | | (2541) prop(all_42_2) = all_367_1
% 75.38/11.20 | | | | | | | | | | | | | (2542) impl(all_319_0, all_42_2) = all_367_0
% 75.38/11.20 | | | | | | | | | | | | | (2543) lazy_impl(all_367_1, all_367_0) = all_367_2
% 75.38/11.20 | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | DELTA: instantiating (2515) with fresh symbols all_369_0,
% 75.38/11.20 | | | | | | | | | | | | | all_369_1, all_369_2 gives:
% 75.38/11.20 | | | | | | | | | | | | | (2544) f2(true, all_44_1, all_44_1) = all_369_2 &
% 75.38/11.20 | | | | | | | | | | | | | lazy_impl(all_369_1, all_369_0) = all_369_2 &
% 75.38/11.20 | | | | | | | | | | | | | impl(all_323_2, all_44_1) = all_369_0 &
% 75.38/11.20 | | | | | | | | | | | | | prop(all_44_1) = all_369_1 & $i(all_369_0) &
% 75.38/11.20 | | | | | | | | | | | | | $i(all_369_1) & $i(all_369_2)
% 75.38/11.20 | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | ALPHA: (2544) implies:
% 75.38/11.20 | | | | | | | | | | | | | (2545) f2(true, all_44_1, all_44_1) = all_369_2
% 75.38/11.20 | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | DELTA: instantiating (2509) with fresh symbols all_373_0,
% 75.38/11.20 | | | | | | | | | | | | | all_373_1, all_373_2 gives:
% 75.38/11.20 | | | | | | | | | | | | | (2546) f2(false, all_42_2, err) = all_373_2 &
% 75.38/11.20 | | | | | | | | | | | | | lazy_impl(all_373_1, all_373_0) = all_373_2 &
% 75.38/11.20 | | | | | | | | | | | | | impl(all_293_0, err) = all_373_0 & prop(err) =
% 75.38/11.20 | | | | | | | | | | | | | all_373_1 & $i(all_373_0) & $i(all_373_1) &
% 75.38/11.20 | | | | | | | | | | | | | $i(all_373_2)
% 75.38/11.20 | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | ALPHA: (2546) implies:
% 75.38/11.20 | | | | | | | | | | | | | (2547) prop(err) = all_373_1
% 75.38/11.20 | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | REDUCE: (2465), (2511) imply:
% 75.38/11.20 | | | | | | | | | | | | | (2548) lazy_impl(false, all_317_0) = true
% 75.38/11.20 | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_91_1, all_355_1, err,
% 75.38/11.20 | | | | | | | | | | | | | simplifying with (160), (2525) gives:
% 75.38/11.20 | | | | | | | | | | | | | (2549) all_355_1 = all_91_1
% 75.38/11.20 | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_57_1, all_351_1,
% 75.38/11.20 | | | | | | | | | | | | | all_44_0, simplifying with (85), (2517) gives:
% 75.38/11.20 | | | | | | | | | | | | | (2550) all_351_1 = all_57_1
% 75.38/11.20 | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | GROUND_INST: instantiating (42) with err, all_355_0, err,
% 75.38/11.20 | | | | | | | | | | | | | simplifying with (65), (2526) gives:
% 75.38/11.20 | | | | | | | | | | | | | (2551) all_355_0 = err
% 75.38/11.20 | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | GROUND_INST: instantiating (42) with err, all_351_0, all_44_0,
% 75.38/11.20 | | | | | | | | | | | | | simplifying with (2248), (2518) gives:
% 75.38/11.20 | | | | | | | | | | | | | (2552) all_351_0 = err
% 75.38/11.20 | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_359_1, all_365_1, err,
% 75.38/11.20 | | | | | | | | | | | | | simplifying with (2530), (2539) gives:
% 75.38/11.20 | | | | | | | | | | | | | (2553) all_365_1 = all_359_1
% 75.38/11.20 | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | GROUND_INST: instantiating (43) with false, all_373_1, err,
% 75.38/11.20 | | | | | | | | | | | | | simplifying with (2281), (2547) gives:
% 75.38/11.20 | | | | | | | | | | | | | (2554) all_373_1 = false
% 75.38/11.20 | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_365_1, all_373_1, err,
% 75.38/11.20 | | | | | | | | | | | | | simplifying with (2539), (2547) gives:
% 75.38/11.20 | | | | | | | | | | | | | (2555) all_373_1 = all_365_1
% 75.38/11.20 | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_353_0, all_363_1,
% 75.38/11.20 | | | | | | | | | | | | | all_42_2, simplifying with (2521), (2534) gives:
% 75.38/11.20 | | | | | | | | | | | | | (2556) all_363_1 = all_353_0
% 75.38/11.20 | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | GROUND_INST: instantiating (43) with true, all_367_1, all_42_2,
% 75.38/11.20 | | | | | | | | | | | | | simplifying with (2265), (2541) gives:
% 75.38/11.20 | | | | | | | | | | | | | (2557) all_367_1 = true
% 75.38/11.20 | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_363_1, all_367_1,
% 75.38/11.20 | | | | | | | | | | | | | all_42_2, simplifying with (2534), (2541) gives:
% 75.38/11.20 | | | | | | | | | | | | | (2558) all_367_1 = all_363_1
% 75.38/11.20 | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | COMBINE_EQS: (2554), (2555) imply:
% 75.38/11.20 | | | | | | | | | | | | | (2559) all_365_1 = false
% 75.38/11.20 | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | SIMP: (2559) implies:
% 75.38/11.20 | | | | | | | | | | | | | (2560) all_365_1 = false
% 75.38/11.20 | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | COMBINE_EQS: (2557), (2558) imply:
% 75.38/11.20 | | | | | | | | | | | | | (2561) all_363_1 = true
% 75.38/11.20 | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | SIMP: (2561) implies:
% 75.38/11.20 | | | | | | | | | | | | | (2562) all_363_1 = true
% 75.38/11.20 | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | COMBINE_EQS: (2553), (2560) imply:
% 75.38/11.20 | | | | | | | | | | | | | (2563) all_359_1 = false
% 75.38/11.20 | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | SIMP: (2563) implies:
% 75.38/11.20 | | | | | | | | | | | | | (2564) all_359_1 = false
% 75.38/11.20 | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | COMBINE_EQS: (2556), (2562) imply:
% 75.38/11.20 | | | | | | | | | | | | | (2565) all_353_0 = true
% 75.38/11.20 | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | REDUCE: (2543), (2557) imply:
% 75.38/11.20 | | | | | | | | | | | | | (2566) lazy_impl(true, all_367_0) = all_367_2
% 75.38/11.20 | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | REDUCE: (2536), (2562) imply:
% 75.38/11.20 | | | | | | | | | | | | | (2567) lazy_impl(true, all_363_0) = all_363_2
% 75.38/11.20 | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | REDUCE: (2532), (2564) imply:
% 75.38/11.20 | | | | | | | | | | | | | (2568) lazy_impl(false, all_359_0) = all_359_2
% 75.38/11.20 | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | REDUCE: (2522), (2565) imply:
% 75.38/11.20 | | | | | | | | | | | | | (2569) lazy_impl(true, all_319_0) = all_353_1
% 75.38/11.20 | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | BETA: splitting (2519) gives:
% 75.38/11.20 | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | Case 1:
% 75.38/11.20 | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | (2570) all_351_1 = 0
% 75.38/11.20 | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | COMBINE_EQS: (2550), (2570) imply:
% 75.38/11.20 | | | | | | | | | | | | | | (2571) all_57_1 = 0
% 75.38/11.20 | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | REDUCE: (1856), (2571) imply:
% 75.38/11.20 | | | | | | | | | | | | | | (2572) $false
% 75.38/11.20 | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | CLOSE: (2572) is inconsistent.
% 75.38/11.20 | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | Case 2:
% 75.38/11.20 | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | (2573) all_351_0 = all_327_0
% 75.38/11.20 | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | COMBINE_EQS: (2552), (2573) imply:
% 75.38/11.20 | | | | | | | | | | | | | | (2574) all_327_0 = err
% 75.38/11.20 | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | REDUCE: (2460), (2574) imply:
% 75.38/11.20 | | | | | | | | | | | | | | (2575) lazy_impl(true, err) = all_327_2
% 75.38/11.20 | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | BETA: splitting (2527) gives:
% 75.38/11.20 | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | Case 1:
% 75.38/11.20 | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | (2576) all_355_1 = 0
% 75.38/11.20 | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | COMBINE_EQS: (2549), (2576) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | (2577) all_91_1 = 0
% 75.38/11.20 | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | SIMP: (2577) implies:
% 75.38/11.20 | | | | | | | | | | | | | | | (2578) all_91_1 = 0
% 75.38/11.20 | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | REDUCE: (2279), (2578) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | (2579) $false
% 75.38/11.20 | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | CLOSE: (2579) is inconsistent.
% 75.38/11.20 | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | Case 2:
% 75.38/11.20 | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | (2580) all_355_0 = all_317_0
% 75.38/11.20 | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | COMBINE_EQS: (2551), (2580) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | (2581) all_317_0 = err
% 75.38/11.20 | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | REDUCE: (2548), (2581) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | (2582) lazy_impl(false, err) = true
% 75.38/11.20 | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | REDUCE: (2531), (2581) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | (2583) impl(err, err) = all_359_0
% 75.38/11.20 | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | REDUCE: (2355), (2581) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | (2584) impl(err, err) = err
% 75.38/11.20 | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | GROUND_INST: instantiating (47) with err, all_359_0, err, err,
% 75.38/11.20 | | | | | | | | | | | | | | | simplifying with (2583), (2584) gives:
% 75.38/11.20 | | | | | | | | | | | | | | | (2585) all_359_0 = err
% 75.38/11.20 | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | GROUND_INST: instantiating (48) with err, all_327_2, err, true,
% 75.38/11.20 | | | | | | | | | | | | | | | simplifying with (125), (2575) gives:
% 75.38/11.20 | | | | | | | | | | | | | | | (2586) all_327_2 = err
% 75.38/11.20 | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_319_2, all_353_1,
% 75.38/11.20 | | | | | | | | | | | | | | | all_319_0, true, simplifying with (2464), (2569)
% 75.38/11.20 | | | | | | | | | | | | | | | gives:
% 75.38/11.20 | | | | | | | | | | | | | | | (2587) all_353_1 = all_319_2
% 75.38/11.20 | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | REDUCE: (2523), (2587) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | (2588) f3(true, false, all_42_2) = all_319_2
% 75.38/11.20 | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | REDUCE: (2380), (2586) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | (2589) f2(true, true, all_44_1) = err
% 75.38/11.20 | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | REDUCE: (2568), (2585) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | (2590) lazy_impl(false, err) = all_359_2
% 75.38/11.20 | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | GROUND_INST: instantiating (48) with true, all_359_2, err,
% 75.38/11.20 | | | | | | | | | | | | | | | false, simplifying with (2582), (2590) gives:
% 75.38/11.20 | | | | | | | | | | | | | | | (2591) all_359_2 = true
% 75.38/11.20 | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_319_0, all_319_2,
% 75.38/11.20 | | | | | | | | | | | | | | | simplifying with (2476), (2514) gives:
% 75.38/11.20 | | | | | | | | | | | | | | | (2592) lazy_and1(true, all_319_0) = all_319_2 &
% 75.38/11.20 | | | | | | | | | | | | | | | $i(all_319_2)
% 75.38/11.20 | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | ALPHA: (2592) implies:
% 75.38/11.20 | | | | | | | | | | | | | | | (2593) $i(all_319_2)
% 75.38/11.20 | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with true, all_319_2, all_42_2,
% 75.38/11.20 | | | | | | | | | | | | | | | all_363_0, all_363_2, simplifying with (36), (54),
% 75.38/11.20 | | | | | | | | | | | | | | | (2535), (2567), (2593) gives:
% 75.38/11.20 | | | | | | | | | | | | | | | (2594) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.20 | | | | | | | | | | | | | | | (f2(true, all_319_2, all_42_2) = v0 &
% 75.38/11.20 | | | | | | | | | | | | | | | lazy_impl(v1, v2) = v0 & impl(all_363_2,
% 75.38/11.20 | | | | | | | | | | | | | | | all_42_2) = v2 & prop(all_42_2) = v1 & $i(v2)
% 75.38/11.20 | | | | | | | | | | | | | | | & $i(v1) & $i(v0))
% 75.38/11.20 | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with true, all_319_0, all_42_2,
% 75.38/11.20 | | | | | | | | | | | | | | | all_367_0, all_367_2, simplifying with (36), (54),
% 75.38/11.20 | | | | | | | | | | | | | | | (2476), (2542), (2566) gives:
% 75.38/11.20 | | | | | | | | | | | | | | | (2595) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.20 | | | | | | | | | | | | | | | (f2(true, all_319_0, all_42_2) = v0 &
% 75.38/11.20 | | | | | | | | | | | | | | | lazy_impl(v1, v2) = v0 & impl(all_367_2,
% 75.38/11.20 | | | | | | | | | | | | | | | all_42_2) = v2 & prop(all_42_2) = v1 & $i(v2)
% 75.38/11.20 | | | | | | | | | | | | | | | & $i(v1) & $i(v0))
% 75.38/11.20 | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | DELTA: instantiating (2595) with fresh symbols all_449_0,
% 75.38/11.20 | | | | | | | | | | | | | | | all_449_1, all_449_2 gives:
% 75.38/11.20 | | | | | | | | | | | | | | | (2596) f2(true, all_319_0, all_42_2) = all_449_2 &
% 75.38/11.20 | | | | | | | | | | | | | | | lazy_impl(all_449_1, all_449_0) = all_449_2 &
% 75.38/11.20 | | | | | | | | | | | | | | | impl(all_367_2, all_42_2) = all_449_0 &
% 75.38/11.20 | | | | | | | | | | | | | | | prop(all_42_2) = all_449_1 & $i(all_449_0) &
% 75.38/11.20 | | | | | | | | | | | | | | | $i(all_449_1) & $i(all_449_2)
% 75.38/11.20 | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | ALPHA: (2596) implies:
% 75.38/11.20 | | | | | | | | | | | | | | | (2597) f2(true, all_319_0, all_42_2) = all_449_2
% 75.38/11.20 | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | DELTA: instantiating (2594) with fresh symbols all_451_0,
% 75.38/11.20 | | | | | | | | | | | | | | | all_451_1, all_451_2 gives:
% 75.38/11.20 | | | | | | | | | | | | | | | (2598) f2(true, all_319_2, all_42_2) = all_451_2 &
% 75.38/11.20 | | | | | | | | | | | | | | | lazy_impl(all_451_1, all_451_0) = all_451_2 &
% 75.38/11.20 | | | | | | | | | | | | | | | impl(all_363_2, all_42_2) = all_451_0 &
% 75.38/11.20 | | | | | | | | | | | | | | | prop(all_42_2) = all_451_1 & $i(all_451_0) &
% 75.38/11.20 | | | | | | | | | | | | | | | $i(all_451_1) & $i(all_451_2)
% 75.38/11.20 | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | ALPHA: (2598) implies:
% 75.38/11.20 | | | | | | | | | | | | | | | (2599) f2(true, all_319_2, all_42_2) = all_451_2
% 75.38/11.20 | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | BETA: splitting (2262) gives:
% 75.38/11.20 | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | Case 1:
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | (2600) all_42_2 = true
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | REDUCE: (2597), (2600) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | | (2601) f2(true, all_319_0, true) = all_449_2
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | REDUCE: (2599), (2600) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | | (2602) f2(true, all_319_2, true) = all_451_2
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | REDUCE: (2537), (2600) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | | (2603) f2(true, true, true) = all_363_2
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | REDUCE: (2503), (2600) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | | (2604) f2(true, true, true) = all_319_2
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | REDUCE: (2359), (2600) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | | (2605) impl(true, true) = all_319_0
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (47) with true, all_319_0, true,
% 75.38/11.20 | | | | | | | | | | | | | | | | true, simplifying with (113), (2605) gives:
% 75.38/11.20 | | | | | | | | | | | | | | | | (2606) all_319_0 = true
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with true, all_363_2, true,
% 75.38/11.20 | | | | | | | | | | | | | | | | true, true, simplifying with (528), (2603) gives:
% 75.38/11.20 | | | | | | | | | | | | | | | | (2607) all_363_2 = true
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_319_2, all_363_2,
% 75.38/11.20 | | | | | | | | | | | | | | | | true, true, true, simplifying with (2603), (2604)
% 75.38/11.20 | | | | | | | | | | | | | | | | gives:
% 75.38/11.20 | | | | | | | | | | | | | | | | (2608) all_363_2 = all_319_2
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | COMBINE_EQS: (2607), (2608) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | | (2609) all_319_2 = true
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | SIMP: (2609) implies:
% 75.38/11.20 | | | | | | | | | | | | | | | | (2610) all_319_2 = true
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | REDUCE: (2601), (2606) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | | (2611) f2(true, true, true) = all_449_2
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | REDUCE: (2602), (2610) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | | (2612) f2(true, true, true) = all_451_2
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with true, all_451_2, true,
% 75.38/11.20 | | | | | | | | | | | | | | | | true, true, simplifying with (528), (2612) gives:
% 75.38/11.20 | | | | | | | | | | | | | | | | (2613) all_451_2 = true
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_449_2, all_451_2,
% 75.38/11.20 | | | | | | | | | | | | | | | | true, true, true, simplifying with (2611), (2612)
% 75.38/11.20 | | | | | | | | | | | | | | | | gives:
% 75.38/11.20 | | | | | | | | | | | | | | | | (2614) all_451_2 = all_449_2
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | COMBINE_EQS: (2613), (2614) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | | (2615) all_449_2 = true
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | BETA: splitting (2267) gives:
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | Case 1:
% 75.38/11.20 | | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | | (2616) all_44_1 = true
% 75.38/11.20 | | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | | REDUCE: (2545), (2616) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | | | (2617) f2(true, true, true) = all_369_2
% 75.38/11.20 | | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | | REDUCE: (2589), (2616) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | | | (2618) f2(true, true, true) = err
% 75.38/11.20 | | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (50), (528), (2617), (2618) are inconsistent
% 75.38/11.20 | | | | | | | | | | | | | | | | | by sub-proof #1.
% 75.38/11.20 | | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | Case 2:
% 75.38/11.20 | | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | | (2619) all_44_1 = false
% 75.38/11.20 | | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | | REDUCE: (2589), (2619) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | | | (2620) f2(true, true, false) = err
% 75.38/11.20 | | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with true, err, false, true,
% 75.38/11.20 | | | | | | | | | | | | | | | | | true, simplifying with (529), (2620) gives:
% 75.38/11.20 | | | | | | | | | | | | | | | | | (2621) err = true
% 75.38/11.20 | | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | | REDUCE: (5), (2621) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | | | (2622) $false
% 75.38/11.20 | | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | | CLOSE: (2622) is inconsistent.
% 75.38/11.20 | | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | End of split
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | Case 2:
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | (2623) all_42_2 = false
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | REDUCE: (55), (2623) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | | (2624) not1(false) = all_42_1
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | REDUCE: (2588), (2623) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | | (2625) f3(true, false, false) = all_319_2
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | REDUCE: (2597), (2623) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | | (2626) f2(true, all_319_0, false) = all_449_2
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | REDUCE: (2599), (2623) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | | (2627) f2(true, all_319_2, false) = all_451_2
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | REDUCE: (2503), (2623) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | | (2628) f2(true, true, false) = all_319_2
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | REDUCE: (2359), (2623) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | | (2629) impl(false, false) = all_319_0
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (47) with true, all_319_0, false,
% 75.38/11.20 | | | | | | | | | | | | | | | | false, simplifying with (110), (2629) gives:
% 75.38/11.20 | | | | | | | | | | | | | | | | (2630) all_319_0 = true
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (51) with true, all_319_2, false,
% 75.38/11.20 | | | | | | | | | | | | | | | | false, true, simplifying with (526), (2625) gives:
% 75.38/11.20 | | | | | | | | | | | | | | | | (2631) all_319_2 = true
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with true, all_42_1, false,
% 75.38/11.20 | | | | | | | | | | | | | | | | simplifying with (34), (2624) gives:
% 75.38/11.20 | | | | | | | | | | | | | | | | (2632) all_42_1 = true
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | REDUCE: (2290), (2632) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | | (2633) ~ (err = true)
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | REDUCE: (2626), (2630) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | | (2634) f2(true, true, false) = all_449_2
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | REDUCE: (2627), (2631) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | | (2635) f2(true, true, false) = all_451_2
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with true, all_451_2, false,
% 75.38/11.20 | | | | | | | | | | | | | | | | true, true, simplifying with (529), (2635) gives:
% 75.38/11.20 | | | | | | | | | | | | | | | | (2636) all_451_2 = true
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_449_2, all_451_2,
% 75.38/11.20 | | | | | | | | | | | | | | | | false, true, true, simplifying with (2634), (2635)
% 75.38/11.20 | | | | | | | | | | | | | | | | gives:
% 75.38/11.20 | | | | | | | | | | | | | | | | (2637) all_451_2 = all_449_2
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | COMBINE_EQS: (2636), (2637) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | | (2638) all_449_2 = true
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | SIMP: (2638) implies:
% 75.38/11.20 | | | | | | | | | | | | | | | | (2639) all_449_2 = true
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | BETA: splitting (2267) gives:
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | Case 1:
% 75.38/11.20 | | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | | (2640) all_44_1 = true
% 75.38/11.20 | | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | | REDUCE: (2545), (2640) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | | | (2641) f2(true, true, true) = all_369_2
% 75.38/11.20 | | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | | REDUCE: (2589), (2640) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | | | (2642) f2(true, true, true) = err
% 75.38/11.20 | | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (50), (528), (2641), (2642) are inconsistent
% 75.38/11.20 | | | | | | | | | | | | | | | | | by sub-proof #1.
% 75.38/11.20 | | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | Case 2:
% 75.38/11.20 | | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | | (2643) all_44_1 = false
% 75.38/11.20 | | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | | REDUCE: (2589), (2643) imply:
% 75.38/11.20 | | | | | | | | | | | | | | | | | (2644) f2(true, true, false) = err
% 75.38/11.20 | | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (50), (529), (2644) are inconsistent by
% 75.38/11.20 | | | | | | | | | | | | | | | | | sub-proof #5.
% 75.38/11.20 | | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | | End of split
% 75.38/11.20 | | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | | End of split
% 75.38/11.20 | | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | | End of split
% 75.38/11.20 | | | | | | | | | | | | | |
% 75.38/11.20 | | | | | | | | | | | | | End of split
% 75.38/11.20 | | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | End of split
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | End of split
% 75.38/11.21 | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | Case 2:
% 75.38/11.21 | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | (2645) all_95_1 = 0
% 75.38/11.21 | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | REF_CLOSE: (2251), (2279), (2645) are inconsistent by
% 75.38/11.21 | | | | | | | | | | | sub-proof #2.
% 75.38/11.21 | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | End of split
% 75.38/11.21 | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | End of split
% 75.38/11.21 | | | | | | | | |
% 75.38/11.21 | | | | | | | | Case 2:
% 75.38/11.21 | | | | | | | | |
% 75.38/11.21 | | | | | | | | | (2646) all_59_0 = err & ~ (all_81_0 = 0)
% 75.38/11.21 | | | | | | | | |
% 75.38/11.21 | | | | | | | | | ALPHA: (2646) implies:
% 75.38/11.21 | | | | | | | | | (2647) all_59_0 = err
% 75.38/11.21 | | | | | | | | |
% 75.38/11.21 | | | | | | | | | REDUCE: (129), (2647) imply:
% 75.38/11.21 | | | | | | | | | (2648) lazy_impl(true, all_42_2) = err
% 75.38/11.21 | | | | | | | | |
% 75.38/11.21 | | | | | | | | | BETA: splitting (162) gives:
% 75.38/11.21 | | | | | | | | |
% 75.38/11.21 | | | | | | | | | Case 1:
% 75.38/11.21 | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | (2649) all_91_1 = 0
% 75.38/11.21 | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | REDUCE: (160), (2649) imply:
% 75.38/11.21 | | | | | | | | | | (2650) bool(err) = 0
% 75.38/11.21 | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | REF_CLOSE: (3), (4), (5), (11), (2650) are inconsistent by
% 75.38/11.21 | | | | | | | | | | sub-proof #7.
% 75.38/11.21 | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | Case 2:
% 75.38/11.21 | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | (2651) ~ (all_91_1 = 0)
% 75.38/11.21 | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | BETA: splitting (169) gives:
% 75.38/11.21 | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | Case 1:
% 75.38/11.21 | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | (2652) ~ (all_95_2 = 0)
% 75.38/11.21 | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | REDUCE: (1867), (2652) imply:
% 75.38/11.21 | | | | | | | | | | | (2653) $false
% 75.38/11.21 | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | CLOSE: (2653) is inconsistent.
% 75.38/11.21 | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | Case 2:
% 75.38/11.21 | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | (2654) all_95_0 = all_42_0 | all_95_1 = 0
% 75.38/11.21 | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | BETA: splitting (2654) gives:
% 75.38/11.21 | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | Case 1:
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | (2655) all_95_1 = 0
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | REF_CLOSE: (2251), (2651), (2655) are inconsistent by
% 75.38/11.21 | | | | | | | | | | | | sub-proof #2.
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | Case 2:
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | (2656) all_95_0 = all_42_0
% 75.38/11.21 | | | | | | | | | | | | (2657) ~ (all_95_1 = 0)
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | COMBINE_EQS: (2252), (2656) imply:
% 75.38/11.21 | | | | | | | | | | | | (2658) all_42_0 = err
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | REDUCE: (2247), (2658) imply:
% 75.38/11.21 | | | | | | | | | | | | (2659) impl(all_42_2, err) = err
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_42_2, true,
% 75.38/11.21 | | | | | | | | | | | | simplifying with (54), (2265) gives:
% 75.38/11.21 | | | | | | | | | | | | (2660) ? [v0: $i] : (f7(all_42_2) = v0 & lazy_impl(true,
% 75.38/11.21 | | | | | | | | | | | | all_42_2) = v0 & $i(v0))
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | GROUND_INST: instantiating (25) with true, false, all_42_2,
% 75.38/11.21 | | | | | | | | | | | | true, true, simplifying with (35), (36), (54),
% 75.38/11.21 | | | | | | | | | | | | (113), (2264) gives:
% 75.38/11.21 | | | | | | | | | | | | (2661) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.21 | | | | | | | | | | | | (f1(true, false, all_42_2) = v0 & lazy_impl(v1,
% 75.38/11.21 | | | | | | | | | | | | v2) = v0 & impl(true, all_42_2) = v2 &
% 75.38/11.21 | | | | | | | | | | | | prop(all_42_2) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | GROUND_INST: instantiating (25) with false, false, all_42_2,
% 75.38/11.21 | | | | | | | | | | | | true, true, simplifying with (35), (54), (114),
% 75.38/11.21 | | | | | | | | | | | | (2264) gives:
% 75.38/11.21 | | | | | | | | | | | | (2662) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.21 | | | | | | | | | | | | (f1(false, false, all_42_2) = v0 & lazy_impl(v1,
% 75.38/11.21 | | | | | | | | | | | | v2) = v0 & impl(true, all_42_2) = v2 &
% 75.38/11.21 | | | | | | | | | | | | prop(all_42_2) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | GROUND_INST: instantiating (27) with true, false, all_42_2,
% 75.38/11.21 | | | | | | | | | | | | true, true, simplifying with (35), (36), (54),
% 75.38/11.21 | | | | | | | | | | | | (122), (2264) gives:
% 75.38/11.21 | | | | | | | | | | | | (2663) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.21 | | | | | | | | | | | | (f2(true, false, all_42_2) = v0 & lazy_impl(v1,
% 75.38/11.21 | | | | | | | | | | | | v2) = v0 & impl(true, all_42_2) = v2 &
% 75.38/11.21 | | | | | | | | | | | | prop(all_42_2) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | GROUND_INST: instantiating (25) with true, false, all_44_1,
% 75.38/11.21 | | | | | | | | | | | | true, true, simplifying with (35), (36), (58),
% 75.38/11.21 | | | | | | | | | | | | (113), (2269) gives:
% 75.38/11.21 | | | | | | | | | | | | (2664) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.21 | | | | | | | | | | | | (f1(true, false, all_44_1) = v0 & lazy_impl(v1,
% 75.38/11.21 | | | | | | | | | | | | v2) = v0 & impl(true, all_44_1) = v2 &
% 75.38/11.21 | | | | | | | | | | | | prop(all_44_1) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | GROUND_INST: instantiating (25) with false, false, all_44_1,
% 75.38/11.21 | | | | | | | | | | | | true, true, simplifying with (35), (58), (114),
% 75.38/11.21 | | | | | | | | | | | | (2269) gives:
% 75.38/11.21 | | | | | | | | | | | | (2665) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.21 | | | | | | | | | | | | (f1(false, false, all_44_1) = v0 & lazy_impl(v1,
% 75.38/11.21 | | | | | | | | | | | | v2) = v0 & impl(true, all_44_1) = v2 &
% 75.38/11.21 | | | | | | | | | | | | prop(all_44_1) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | GROUND_INST: instantiating (27) with true, false, all_44_1,
% 75.38/11.21 | | | | | | | | | | | | true, true, simplifying with (35), (36), (58),
% 75.38/11.21 | | | | | | | | | | | | (122), (2269) gives:
% 75.38/11.21 | | | | | | | | | | | | (2666) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.21 | | | | | | | | | | | | (f2(true, false, all_44_1) = v0 & lazy_impl(v1,
% 75.38/11.21 | | | | | | | | | | | | v2) = v0 & impl(true, all_44_1) = v2 &
% 75.38/11.21 | | | | | | | | | | | | prop(all_44_1) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | GROUND_INST: instantiating (28) with false, false, all_42_2,
% 75.38/11.21 | | | | | | | | | | | | true, true, all_42_2, all_42_2, simplifying with
% 75.38/11.21 | | | | | | | | | | | | (35), (54), (2263), (2264) gives:
% 75.38/11.21 | | | | | | | | | | | | (2667) ? [v0: $i] : ? [v1: $i] : (f3(false, false,
% 75.38/11.21 | | | | | | | | | | | | all_42_2) = v0 & lazy_impl(v1, all_42_2) = v0
% 75.38/11.21 | | | | | | | | | | | | & prop(all_42_2) = v1 & $i(v1) & $i(v0))
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | GROUND_INST: instantiating (25) with true, true, all_42_2,
% 75.38/11.21 | | | | | | | | | | | | all_42_2, all_42_2, simplifying with (36), (54),
% 75.38/11.21 | | | | | | | | | | | | (2263) gives:
% 75.38/11.21 | | | | | | | | | | | | (2668) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.21 | | | | | | | | | | | | (f1(true, true, all_42_2) = v0 & lazy_impl(v1, v2)
% 75.38/11.21 | | | | | | | | | | | | = v0 & impl(all_42_2, all_42_2) = v2 &
% 75.38/11.21 | | | | | | | | | | | | prop(all_42_2) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | GROUND_INST: instantiating (25) with false, true, all_42_2,
% 75.38/11.21 | | | | | | | | | | | | all_42_2, true, simplifying with (35), (36), (54),
% 75.38/11.21 | | | | | | | | | | | | (2263), (2264) gives:
% 75.38/11.21 | | | | | | | | | | | | (2669) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.21 | | | | | | | | | | | | (f1(false, true, all_42_2) = v0 & lazy_impl(v1,
% 75.38/11.21 | | | | | | | | | | | | v2) = v0 & impl(true, all_42_2) = v2 &
% 75.38/11.21 | | | | | | | | | | | | prop(all_42_2) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | GROUND_INST: instantiating (28) with false, false, all_44_1,
% 75.38/11.21 | | | | | | | | | | | | true, true, all_44_1, all_44_1, simplifying with
% 75.38/11.21 | | | | | | | | | | | | (35), (58), (2268), (2269) gives:
% 75.38/11.21 | | | | | | | | | | | | (2670) ? [v0: $i] : ? [v1: $i] : (f3(false, false,
% 75.38/11.21 | | | | | | | | | | | | all_44_1) = v0 & lazy_impl(v1, all_44_1) = v0
% 75.38/11.21 | | | | | | | | | | | | & prop(all_44_1) = v1 & $i(v1) & $i(v0))
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | GROUND_INST: instantiating (25) with true, true, all_44_1,
% 75.38/11.21 | | | | | | | | | | | | all_44_1, all_44_1, simplifying with (36), (58),
% 75.38/11.21 | | | | | | | | | | | | (2268) gives:
% 75.38/11.21 | | | | | | | | | | | | (2671) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.21 | | | | | | | | | | | | (f1(true, true, all_44_1) = v0 & lazy_impl(v1, v2)
% 75.38/11.21 | | | | | | | | | | | | = v0 & impl(all_44_1, all_44_1) = v2 &
% 75.38/11.21 | | | | | | | | | | | | prop(all_44_1) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | GROUND_INST: instantiating (25) with false, true, all_44_1,
% 75.38/11.21 | | | | | | | | | | | | all_44_1, true, simplifying with (35), (36), (58),
% 75.38/11.21 | | | | | | | | | | | | (2268), (2269) gives:
% 75.38/11.21 | | | | | | | | | | | | (2672) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.21 | | | | | | | | | | | | (f1(false, true, all_44_1) = v0 & lazy_impl(v1,
% 75.38/11.21 | | | | | | | | | | | | v2) = v0 & impl(true, all_44_1) = v2 &
% 75.38/11.21 | | | | | | | | | | | | prop(all_44_1) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | GROUND_INST: instantiating (27) with true, true, all_44_1,
% 75.38/11.21 | | | | | | | | | | | | all_44_1, all_44_0, simplifying with (36), (58),
% 75.38/11.21 | | | | | | | | | | | | (2257), (2268) gives:
% 75.38/11.21 | | | | | | | | | | | | (2673) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.21 | | | | | | | | | | | | (f2(true, true, all_44_1) = v0 & lazy_impl(v1, v2)
% 75.38/11.21 | | | | | | | | | | | | = v0 & impl(all_44_0, all_44_1) = v2 &
% 75.38/11.21 | | | | | | | | | | | | prop(all_44_1) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_42_2, all_42_2, err,
% 75.38/11.21 | | | | | | | | | | | | err, err, simplifying with (11), (54), (2659)
% 75.38/11.21 | | | | | | | | | | | | gives:
% 75.38/11.21 | | | | | | | | | | | | (2674) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.21 | | | | | | | | | | | | (f1(all_42_2, all_42_2, err) = v0 & lazy_impl(v1,
% 75.38/11.21 | | | | | | | | | | | | v2) = v0 & impl(err, err) = v2 & prop(err) =
% 75.38/11.21 | | | | | | | | | | | | v1 & $i(v2) & $i(v1) & $i(v0))
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | GROUND_INST: instantiating (27) with true, all_42_2, err, err,
% 75.38/11.21 | | | | | | | | | | | | err, simplifying with (11), (36), (54), (125),
% 75.38/11.21 | | | | | | | | | | | | (2659) gives:
% 75.38/11.21 | | | | | | | | | | | | (2675) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.21 | | | | | | | | | | | | (f2(true, all_42_2, err) = v0 & lazy_impl(v1, v2)
% 75.38/11.21 | | | | | | | | | | | | = v0 & impl(err, err) = v2 & prop(err) = v1 &
% 75.38/11.21 | | | | | | | | | | | | $i(v2) & $i(v1) & $i(v0))
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | GROUND_INST: instantiating (27) with true, true, all_42_2,
% 75.38/11.21 | | | | | | | | | | | | all_42_2, err, simplifying with (36), (54),
% 75.38/11.21 | | | | | | | | | | | | (2263), (2648) gives:
% 75.38/11.21 | | | | | | | | | | | | (2676) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.21 | | | | | | | | | | | | (f2(true, true, all_42_2) = v0 & lazy_impl(v1, v2)
% 75.38/11.21 | | | | | | | | | | | | = v0 & impl(err, all_42_2) = v2 & prop(all_42_2)
% 75.38/11.21 | | | | | | | | | | | | = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | DELTA: instantiating (2660) with fresh symbol all_291_0
% 75.38/11.21 | | | | | | | | | | | | gives:
% 75.38/11.21 | | | | | | | | | | | | (2677) f7(all_42_2) = all_291_0 & lazy_impl(true,
% 75.38/11.21 | | | | | | | | | | | | all_42_2) = all_291_0 & $i(all_291_0)
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | ALPHA: (2677) implies:
% 75.38/11.21 | | | | | | | | | | | | (2678) lazy_impl(true, all_42_2) = all_291_0
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | DELTA: instantiating (2670) with fresh symbols all_297_0,
% 75.38/11.21 | | | | | | | | | | | | all_297_1 gives:
% 75.38/11.21 | | | | | | | | | | | | (2679) f3(false, false, all_44_1) = all_297_1 &
% 75.38/11.21 | | | | | | | | | | | | lazy_impl(all_297_0, all_44_1) = all_297_1 &
% 75.38/11.21 | | | | | | | | | | | | prop(all_44_1) = all_297_0 & $i(all_297_0) &
% 75.38/11.21 | | | | | | | | | | | | $i(all_297_1)
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | ALPHA: (2679) implies:
% 75.38/11.21 | | | | | | | | | | | | (2680) $i(all_297_1)
% 75.38/11.21 | | | | | | | | | | | | (2681) $i(all_297_0)
% 75.38/11.21 | | | | | | | | | | | | (2682) prop(all_44_1) = all_297_0
% 75.38/11.21 | | | | | | | | | | | | (2683) lazy_impl(all_297_0, all_44_1) = all_297_1
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | DELTA: instantiating (2667) with fresh symbols all_301_0,
% 75.38/11.21 | | | | | | | | | | | | all_301_1 gives:
% 75.38/11.21 | | | | | | | | | | | | (2684) f3(false, false, all_42_2) = all_301_1 &
% 75.38/11.21 | | | | | | | | | | | | lazy_impl(all_301_0, all_42_2) = all_301_1 &
% 75.38/11.21 | | | | | | | | | | | | prop(all_42_2) = all_301_0 & $i(all_301_0) &
% 75.38/11.21 | | | | | | | | | | | | $i(all_301_1)
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | ALPHA: (2684) implies:
% 75.38/11.21 | | | | | | | | | | | | (2685) $i(all_301_1)
% 75.38/11.21 | | | | | | | | | | | | (2686) prop(all_42_2) = all_301_0
% 75.38/11.21 | | | | | | | | | | | | (2687) lazy_impl(all_301_0, all_42_2) = all_301_1
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | DELTA: instantiating (2666) with fresh symbols all_303_0,
% 75.38/11.21 | | | | | | | | | | | | all_303_1, all_303_2 gives:
% 75.38/11.21 | | | | | | | | | | | | (2688) f2(true, false, all_44_1) = all_303_2 &
% 75.38/11.21 | | | | | | | | | | | | lazy_impl(all_303_1, all_303_0) = all_303_2 &
% 75.38/11.21 | | | | | | | | | | | | impl(true, all_44_1) = all_303_0 & prop(all_44_1)
% 75.38/11.21 | | | | | | | | | | | | = all_303_1 & $i(all_303_0) & $i(all_303_1) &
% 75.38/11.21 | | | | | | | | | | | | $i(all_303_2)
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | ALPHA: (2688) implies:
% 75.38/11.21 | | | | | | | | | | | | (2689) $i(all_303_0)
% 75.38/11.21 | | | | | | | | | | | | (2690) prop(all_44_1) = all_303_1
% 75.38/11.21 | | | | | | | | | | | | (2691) impl(true, all_44_1) = all_303_0
% 75.38/11.21 | | | | | | | | | | | | (2692) lazy_impl(all_303_1, all_303_0) = all_303_2
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | DELTA: instantiating (2665) with fresh symbols all_305_0,
% 75.38/11.21 | | | | | | | | | | | | all_305_1, all_305_2 gives:
% 75.38/11.21 | | | | | | | | | | | | (2693) f1(false, false, all_44_1) = all_305_2 &
% 75.38/11.21 | | | | | | | | | | | | lazy_impl(all_305_1, all_305_0) = all_305_2 &
% 75.38/11.21 | | | | | | | | | | | | impl(true, all_44_1) = all_305_0 & prop(all_44_1)
% 75.38/11.21 | | | | | | | | | | | | = all_305_1 & $i(all_305_0) & $i(all_305_1) &
% 75.38/11.21 | | | | | | | | | | | | $i(all_305_2)
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | ALPHA: (2693) implies:
% 75.38/11.21 | | | | | | | | | | | | (2694) prop(all_44_1) = all_305_1
% 75.38/11.21 | | | | | | | | | | | | (2695) impl(true, all_44_1) = all_305_0
% 75.38/11.21 | | | | | | | | | | | | (2696) lazy_impl(all_305_1, all_305_0) = all_305_2
% 75.38/11.21 | | | | | | | | | | | |
% 75.38/11.21 | | | | | | | | | | | | DELTA: instantiating (2663) with fresh symbols all_307_0,
% 75.38/11.21 | | | | | | | | | | | | all_307_1, all_307_2 gives:
% 75.38/11.22 | | | | | | | | | | | | (2697) f2(true, false, all_42_2) = all_307_2 &
% 75.38/11.22 | | | | | | | | | | | | lazy_impl(all_307_1, all_307_0) = all_307_2 &
% 75.38/11.22 | | | | | | | | | | | | impl(true, all_42_2) = all_307_0 & prop(all_42_2)
% 75.38/11.22 | | | | | | | | | | | | = all_307_1 & $i(all_307_0) & $i(all_307_1) &
% 75.38/11.22 | | | | | | | | | | | | $i(all_307_2)
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | ALPHA: (2697) implies:
% 75.38/11.22 | | | | | | | | | | | | (2698) $i(all_307_0)
% 75.38/11.22 | | | | | | | | | | | | (2699) prop(all_42_2) = all_307_1
% 75.38/11.22 | | | | | | | | | | | | (2700) impl(true, all_42_2) = all_307_0
% 75.38/11.22 | | | | | | | | | | | | (2701) lazy_impl(all_307_1, all_307_0) = all_307_2
% 75.38/11.22 | | | | | | | | | | | | (2702) f2(true, false, all_42_2) = all_307_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | DELTA: instantiating (2661) with fresh symbols all_309_0,
% 75.38/11.22 | | | | | | | | | | | | all_309_1, all_309_2 gives:
% 75.38/11.22 | | | | | | | | | | | | (2703) f1(true, false, all_42_2) = all_309_2 &
% 75.38/11.22 | | | | | | | | | | | | lazy_impl(all_309_1, all_309_0) = all_309_2 &
% 75.38/11.22 | | | | | | | | | | | | impl(true, all_42_2) = all_309_0 & prop(all_42_2)
% 75.38/11.22 | | | | | | | | | | | | = all_309_1 & $i(all_309_0) & $i(all_309_1) &
% 75.38/11.22 | | | | | | | | | | | | $i(all_309_2)
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | ALPHA: (2703) implies:
% 75.38/11.22 | | | | | | | | | | | | (2704) prop(all_42_2) = all_309_1
% 75.38/11.22 | | | | | | | | | | | | (2705) impl(true, all_42_2) = all_309_0
% 75.38/11.22 | | | | | | | | | | | | (2706) lazy_impl(all_309_1, all_309_0) = all_309_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | DELTA: instantiating (2662) with fresh symbols all_311_0,
% 75.38/11.22 | | | | | | | | | | | | all_311_1, all_311_2 gives:
% 75.38/11.22 | | | | | | | | | | | | (2707) f1(false, false, all_42_2) = all_311_2 &
% 75.38/11.22 | | | | | | | | | | | | lazy_impl(all_311_1, all_311_0) = all_311_2 &
% 75.38/11.22 | | | | | | | | | | | | impl(true, all_42_2) = all_311_0 & prop(all_42_2)
% 75.38/11.22 | | | | | | | | | | | | = all_311_1 & $i(all_311_0) & $i(all_311_1) &
% 75.38/11.22 | | | | | | | | | | | | $i(all_311_2)
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | ALPHA: (2707) implies:
% 75.38/11.22 | | | | | | | | | | | | (2708) prop(all_42_2) = all_311_1
% 75.38/11.22 | | | | | | | | | | | | (2709) impl(true, all_42_2) = all_311_0
% 75.38/11.22 | | | | | | | | | | | | (2710) lazy_impl(all_311_1, all_311_0) = all_311_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | DELTA: instantiating (2664) with fresh symbols all_313_0,
% 75.38/11.22 | | | | | | | | | | | | all_313_1, all_313_2 gives:
% 75.38/11.22 | | | | | | | | | | | | (2711) f1(true, false, all_44_1) = all_313_2 &
% 75.38/11.22 | | | | | | | | | | | | lazy_impl(all_313_1, all_313_0) = all_313_2 &
% 75.38/11.22 | | | | | | | | | | | | impl(true, all_44_1) = all_313_0 & prop(all_44_1)
% 75.38/11.22 | | | | | | | | | | | | = all_313_1 & $i(all_313_0) & $i(all_313_1) &
% 75.38/11.22 | | | | | | | | | | | | $i(all_313_2)
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | ALPHA: (2711) implies:
% 75.38/11.22 | | | | | | | | | | | | (2712) prop(all_44_1) = all_313_1
% 75.38/11.22 | | | | | | | | | | | | (2713) impl(true, all_44_1) = all_313_0
% 75.38/11.22 | | | | | | | | | | | | (2714) lazy_impl(all_313_1, all_313_0) = all_313_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | DELTA: instantiating (2669) with fresh symbols all_315_0,
% 75.38/11.22 | | | | | | | | | | | | all_315_1, all_315_2 gives:
% 75.38/11.22 | | | | | | | | | | | | (2715) f1(false, true, all_42_2) = all_315_2 &
% 75.38/11.22 | | | | | | | | | | | | lazy_impl(all_315_1, all_315_0) = all_315_2 &
% 75.38/11.22 | | | | | | | | | | | | impl(true, all_42_2) = all_315_0 & prop(all_42_2)
% 75.38/11.22 | | | | | | | | | | | | = all_315_1 & $i(all_315_0) & $i(all_315_1) &
% 75.38/11.22 | | | | | | | | | | | | $i(all_315_2)
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | ALPHA: (2715) implies:
% 75.38/11.22 | | | | | | | | | | | | (2716) prop(all_42_2) = all_315_1
% 75.38/11.22 | | | | | | | | | | | | (2717) impl(true, all_42_2) = all_315_0
% 75.38/11.22 | | | | | | | | | | | | (2718) lazy_impl(all_315_1, all_315_0) = all_315_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | DELTA: instantiating (2675) with fresh symbols all_317_0,
% 75.38/11.22 | | | | | | | | | | | | all_317_1, all_317_2 gives:
% 75.38/11.22 | | | | | | | | | | | | (2719) f2(true, all_42_2, err) = all_317_2 &
% 75.38/11.22 | | | | | | | | | | | | lazy_impl(all_317_1, all_317_0) = all_317_2 &
% 75.38/11.22 | | | | | | | | | | | | impl(err, err) = all_317_0 & prop(err) = all_317_1
% 75.38/11.22 | | | | | | | | | | | | & $i(all_317_0) & $i(all_317_1) & $i(all_317_2)
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | ALPHA: (2719) implies:
% 75.38/11.22 | | | | | | | | | | | | (2720) impl(err, err) = all_317_0
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | DELTA: instantiating (2668) with fresh symbols all_319_0,
% 75.38/11.22 | | | | | | | | | | | | all_319_1, all_319_2 gives:
% 75.38/11.22 | | | | | | | | | | | | (2721) f1(true, true, all_42_2) = all_319_2 &
% 75.38/11.22 | | | | | | | | | | | | lazy_impl(all_319_1, all_319_0) = all_319_2 &
% 75.38/11.22 | | | | | | | | | | | | impl(all_42_2, all_42_2) = all_319_0 &
% 75.38/11.22 | | | | | | | | | | | | prop(all_42_2) = all_319_1 & $i(all_319_0) &
% 75.38/11.22 | | | | | | | | | | | | $i(all_319_1) & $i(all_319_2)
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | ALPHA: (2721) implies:
% 75.38/11.22 | | | | | | | | | | | | (2722) prop(all_42_2) = all_319_1
% 75.38/11.22 | | | | | | | | | | | | (2723) impl(all_42_2, all_42_2) = all_319_0
% 75.38/11.22 | | | | | | | | | | | | (2724) lazy_impl(all_319_1, all_319_0) = all_319_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | DELTA: instantiating (2676) with fresh symbols all_321_0,
% 75.38/11.22 | | | | | | | | | | | | all_321_1, all_321_2 gives:
% 75.38/11.22 | | | | | | | | | | | | (2725) f2(true, true, all_42_2) = all_321_2 &
% 75.38/11.22 | | | | | | | | | | | | lazy_impl(all_321_1, all_321_0) = all_321_2 &
% 75.38/11.22 | | | | | | | | | | | | impl(err, all_42_2) = all_321_0 & prop(all_42_2) =
% 75.38/11.22 | | | | | | | | | | | | all_321_1 & $i(all_321_0) & $i(all_321_1) &
% 75.38/11.22 | | | | | | | | | | | | $i(all_321_2)
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | ALPHA: (2725) implies:
% 75.38/11.22 | | | | | | | | | | | | (2726) prop(all_42_2) = all_321_1
% 75.38/11.22 | | | | | | | | | | | | (2727) impl(err, all_42_2) = all_321_0
% 75.38/11.22 | | | | | | | | | | | | (2728) lazy_impl(all_321_1, all_321_0) = all_321_2
% 75.38/11.22 | | | | | | | | | | | | (2729) f2(true, true, all_42_2) = all_321_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | DELTA: instantiating (2671) with fresh symbols all_323_0,
% 75.38/11.22 | | | | | | | | | | | | all_323_1, all_323_2 gives:
% 75.38/11.22 | | | | | | | | | | | | (2730) f1(true, true, all_44_1) = all_323_2 &
% 75.38/11.22 | | | | | | | | | | | | lazy_impl(all_323_1, all_323_0) = all_323_2 &
% 75.38/11.22 | | | | | | | | | | | | impl(all_44_1, all_44_1) = all_323_0 &
% 75.38/11.22 | | | | | | | | | | | | prop(all_44_1) = all_323_1 & $i(all_323_0) &
% 75.38/11.22 | | | | | | | | | | | | $i(all_323_1) & $i(all_323_2)
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | ALPHA: (2730) implies:
% 75.38/11.22 | | | | | | | | | | | | (2731) prop(all_44_1) = all_323_1
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | DELTA: instantiating (2674) with fresh symbols all_325_0,
% 75.38/11.22 | | | | | | | | | | | | all_325_1, all_325_2 gives:
% 75.38/11.22 | | | | | | | | | | | | (2732) f1(all_42_2, all_42_2, err) = all_325_2 &
% 75.38/11.22 | | | | | | | | | | | | lazy_impl(all_325_1, all_325_0) = all_325_2 &
% 75.38/11.22 | | | | | | | | | | | | impl(err, err) = all_325_0 & prop(err) = all_325_1
% 75.38/11.22 | | | | | | | | | | | | & $i(all_325_0) & $i(all_325_1) & $i(all_325_2)
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | ALPHA: (2732) implies:
% 75.38/11.22 | | | | | | | | | | | | (2733) impl(err, err) = all_325_0
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | DELTA: instantiating (2673) with fresh symbols all_327_0,
% 75.38/11.22 | | | | | | | | | | | | all_327_1, all_327_2 gives:
% 75.38/11.22 | | | | | | | | | | | | (2734) f2(true, true, all_44_1) = all_327_2 &
% 75.38/11.22 | | | | | | | | | | | | lazy_impl(all_327_1, all_327_0) = all_327_2 &
% 75.38/11.22 | | | | | | | | | | | | impl(all_44_0, all_44_1) = all_327_0 &
% 75.38/11.22 | | | | | | | | | | | | prop(all_44_1) = all_327_1 & $i(all_327_0) &
% 75.38/11.22 | | | | | | | | | | | | $i(all_327_1) & $i(all_327_2)
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | ALPHA: (2734) implies:
% 75.38/11.22 | | | | | | | | | | | | (2735) prop(all_44_1) = all_327_1
% 75.38/11.22 | | | | | | | | | | | | (2736) impl(all_44_0, all_44_1) = all_327_0
% 75.38/11.22 | | | | | | | | | | | | (2737) lazy_impl(all_327_1, all_327_0) = all_327_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | DELTA: instantiating (2672) with fresh symbols all_329_0,
% 75.38/11.22 | | | | | | | | | | | | all_329_1, all_329_2 gives:
% 75.38/11.22 | | | | | | | | | | | | (2738) f1(false, true, all_44_1) = all_329_2 &
% 75.38/11.22 | | | | | | | | | | | | lazy_impl(all_329_1, all_329_0) = all_329_2 &
% 75.38/11.22 | | | | | | | | | | | | impl(true, all_44_1) = all_329_0 & prop(all_44_1)
% 75.38/11.22 | | | | | | | | | | | | = all_329_1 & $i(all_329_0) & $i(all_329_1) &
% 75.38/11.22 | | | | | | | | | | | | $i(all_329_2)
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | ALPHA: (2738) implies:
% 75.38/11.22 | | | | | | | | | | | | (2739) prop(all_44_1) = all_329_1
% 75.38/11.22 | | | | | | | | | | | | (2740) impl(true, all_44_1) = all_329_0
% 75.38/11.22 | | | | | | | | | | | | (2741) lazy_impl(all_329_1, all_329_0) = all_329_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_301_0, all_309_1,
% 75.38/11.22 | | | | | | | | | | | | all_42_2, simplifying with (2686), (2704) gives:
% 75.38/11.22 | | | | | | | | | | | | (2742) all_309_1 = all_301_0
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (43) with true, all_311_1, all_42_2,
% 75.38/11.22 | | | | | | | | | | | | simplifying with (2265), (2708) gives:
% 75.38/11.22 | | | | | | | | | | | | (2743) all_311_1 = true
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_309_1, all_311_1,
% 75.38/11.22 | | | | | | | | | | | | all_42_2, simplifying with (2704), (2708) gives:
% 75.38/11.22 | | | | | | | | | | | | (2744) all_311_1 = all_309_1
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_309_1, all_315_1,
% 75.38/11.22 | | | | | | | | | | | | all_42_2, simplifying with (2704), (2716) gives:
% 75.38/11.22 | | | | | | | | | | | | (2745) all_315_1 = all_309_1
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_319_1, all_321_1,
% 75.38/11.22 | | | | | | | | | | | | all_42_2, simplifying with (2722), (2726) gives:
% 75.38/11.22 | | | | | | | | | | | | (2746) all_321_1 = all_319_1
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_315_1, all_321_1,
% 75.38/11.22 | | | | | | | | | | | | all_42_2, simplifying with (2716), (2726) gives:
% 75.38/11.22 | | | | | | | | | | | | (2747) all_321_1 = all_315_1
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_307_1, all_321_1,
% 75.38/11.22 | | | | | | | | | | | | all_42_2, simplifying with (2699), (2726) gives:
% 75.38/11.22 | | | | | | | | | | | | (2748) all_321_1 = all_307_1
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (43) with true, all_313_1, all_44_1,
% 75.38/11.22 | | | | | | | | | | | | simplifying with (2259), (2712) gives:
% 75.38/11.22 | | | | | | | | | | | | (2749) all_313_1 = true
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_303_1, all_313_1,
% 75.38/11.22 | | | | | | | | | | | | all_44_1, simplifying with (2690), (2712) gives:
% 75.38/11.22 | | | | | | | | | | | | (2750) all_313_1 = all_303_1
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_303_1, all_323_1,
% 75.38/11.22 | | | | | | | | | | | | all_44_1, simplifying with (2690), (2731) gives:
% 75.38/11.22 | | | | | | | | | | | | (2751) all_323_1 = all_303_1
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_323_1, all_327_1,
% 75.38/11.22 | | | | | | | | | | | | all_44_1, simplifying with (2731), (2735) gives:
% 75.38/11.22 | | | | | | | | | | | | (2752) all_327_1 = all_323_1
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_305_1, all_327_1,
% 75.38/11.22 | | | | | | | | | | | | all_44_1, simplifying with (2694), (2735) gives:
% 75.38/11.22 | | | | | | | | | | | | (2753) all_327_1 = all_305_1
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_323_1, all_329_1,
% 75.38/11.22 | | | | | | | | | | | | all_44_1, simplifying with (2731), (2739) gives:
% 75.38/11.22 | | | | | | | | | | | | (2754) all_329_1 = all_323_1
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (43) with all_297_0, all_329_1,
% 75.38/11.22 | | | | | | | | | | | | all_44_1, simplifying with (2682), (2739) gives:
% 75.38/11.22 | | | | | | | | | | | | (2755) all_329_1 = all_297_0
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (47) with all_309_0, all_311_0,
% 75.38/11.22 | | | | | | | | | | | | all_42_2, true, simplifying with (2705), (2709)
% 75.38/11.22 | | | | | | | | | | | | gives:
% 75.38/11.22 | | | | | | | | | | | | (2756) all_311_0 = all_309_0
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (47) with all_307_0, all_311_0,
% 75.38/11.22 | | | | | | | | | | | | all_42_2, true, simplifying with (2700), (2709)
% 75.38/11.22 | | | | | | | | | | | | gives:
% 75.38/11.22 | | | | | | | | | | | | (2757) all_311_0 = all_307_0
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (47) with all_42_2, all_315_0,
% 75.38/11.22 | | | | | | | | | | | | all_42_2, true, simplifying with (2263), (2717)
% 75.38/11.22 | | | | | | | | | | | | gives:
% 75.38/11.22 | | | | | | | | | | | | (2758) all_315_0 = all_42_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (47) with all_311_0, all_315_0,
% 75.38/11.22 | | | | | | | | | | | | all_42_2, true, simplifying with (2709), (2717)
% 75.38/11.22 | | | | | | | | | | | | gives:
% 75.38/11.22 | | | | | | | | | | | | (2759) all_315_0 = all_311_0
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (47) with all_44_1, all_313_0,
% 75.38/11.22 | | | | | | | | | | | | all_44_1, true, simplifying with (2268), (2713)
% 75.38/11.22 | | | | | | | | | | | | gives:
% 75.38/11.22 | | | | | | | | | | | | (2760) all_313_0 = all_44_1
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (47) with all_313_0, all_329_0,
% 75.38/11.22 | | | | | | | | | | | | all_44_1, true, simplifying with (2713), (2740)
% 75.38/11.22 | | | | | | | | | | | | gives:
% 75.38/11.22 | | | | | | | | | | | | (2761) all_329_0 = all_313_0
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (47) with all_305_0, all_329_0,
% 75.38/11.22 | | | | | | | | | | | | all_44_1, true, simplifying with (2695), (2740)
% 75.38/11.22 | | | | | | | | | | | | gives:
% 75.38/11.22 | | | | | | | | | | | | (2762) all_329_0 = all_305_0
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (47) with all_303_0, all_329_0,
% 75.38/11.22 | | | | | | | | | | | | all_44_1, true, simplifying with (2691), (2740)
% 75.38/11.22 | | | | | | | | | | | | gives:
% 75.38/11.22 | | | | | | | | | | | | (2763) all_329_0 = all_303_0
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (47) with all_317_0, all_325_0, err,
% 75.38/11.22 | | | | | | | | | | | | err, simplifying with (2720), (2733) gives:
% 75.38/11.22 | | | | | | | | | | | | (2764) all_325_0 = all_317_0
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (48) with err, all_291_0, all_42_2,
% 75.38/11.22 | | | | | | | | | | | | true, simplifying with (2648), (2678) gives:
% 75.38/11.22 | | | | | | | | | | | | (2765) all_291_0 = err
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2761), (2762) imply:
% 75.38/11.22 | | | | | | | | | | | | (2766) all_313_0 = all_305_0
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | SIMP: (2766) implies:
% 75.38/11.22 | | | | | | | | | | | | (2767) all_313_0 = all_305_0
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2762), (2763) imply:
% 75.38/11.22 | | | | | | | | | | | | (2768) all_305_0 = all_303_0
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2754), (2755) imply:
% 75.38/11.22 | | | | | | | | | | | | (2769) all_323_1 = all_297_0
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | SIMP: (2769) implies:
% 75.38/11.22 | | | | | | | | | | | | (2770) all_323_1 = all_297_0
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2752), (2753) imply:
% 75.38/11.22 | | | | | | | | | | | | (2771) all_323_1 = all_305_1
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | SIMP: (2771) implies:
% 75.38/11.22 | | | | | | | | | | | | (2772) all_323_1 = all_305_1
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2770), (2772) imply:
% 75.38/11.22 | | | | | | | | | | | | (2773) all_305_1 = all_297_0
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2751), (2772) imply:
% 75.38/11.22 | | | | | | | | | | | | (2774) all_305_1 = all_303_1
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2746), (2747) imply:
% 75.38/11.22 | | | | | | | | | | | | (2775) all_319_1 = all_315_1
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2746), (2748) imply:
% 75.38/11.22 | | | | | | | | | | | | (2776) all_319_1 = all_307_1
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2775), (2776) imply:
% 75.38/11.22 | | | | | | | | | | | | (2777) all_315_1 = all_307_1
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | SIMP: (2777) implies:
% 75.38/11.22 | | | | | | | | | | | | (2778) all_315_1 = all_307_1
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2758), (2759) imply:
% 75.38/11.22 | | | | | | | | | | | | (2779) all_311_0 = all_42_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | SIMP: (2779) implies:
% 75.38/11.22 | | | | | | | | | | | | (2780) all_311_0 = all_42_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2745), (2778) imply:
% 75.38/11.22 | | | | | | | | | | | | (2781) all_309_1 = all_307_1
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | SIMP: (2781) implies:
% 75.38/11.22 | | | | | | | | | | | | (2782) all_309_1 = all_307_1
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2760), (2767) imply:
% 75.38/11.22 | | | | | | | | | | | | (2783) all_305_0 = all_44_1
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | SIMP: (2783) implies:
% 75.38/11.22 | | | | | | | | | | | | (2784) all_305_0 = all_44_1
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2749), (2750) imply:
% 75.38/11.22 | | | | | | | | | | | | (2785) all_303_1 = true
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | SIMP: (2785) implies:
% 75.38/11.22 | | | | | | | | | | | | (2786) all_303_1 = true
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2756), (2780) imply:
% 75.38/11.22 | | | | | | | | | | | | (2787) all_309_0 = all_42_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2756), (2757) imply:
% 75.38/11.22 | | | | | | | | | | | | (2788) all_309_0 = all_307_0
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2743), (2744) imply:
% 75.38/11.22 | | | | | | | | | | | | (2789) all_309_1 = true
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | SIMP: (2789) implies:
% 75.38/11.22 | | | | | | | | | | | | (2790) all_309_1 = true
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2787), (2788) imply:
% 75.38/11.22 | | | | | | | | | | | | (2791) all_307_0 = all_42_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | SIMP: (2791) implies:
% 75.38/11.22 | | | | | | | | | | | | (2792) all_307_0 = all_42_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2742), (2782) imply:
% 75.38/11.22 | | | | | | | | | | | | (2793) all_307_1 = all_301_0
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2782), (2790) imply:
% 75.38/11.22 | | | | | | | | | | | | (2794) all_307_1 = true
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2793), (2794) imply:
% 75.38/11.22 | | | | | | | | | | | | (2795) all_301_0 = true
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | SIMP: (2795) implies:
% 75.38/11.22 | | | | | | | | | | | | (2796) all_301_0 = true
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2768), (2784) imply:
% 75.38/11.22 | | | | | | | | | | | | (2797) all_303_0 = all_44_1
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | SIMP: (2797) implies:
% 75.38/11.22 | | | | | | | | | | | | (2798) all_303_0 = all_44_1
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2773), (2774) imply:
% 75.38/11.22 | | | | | | | | | | | | (2799) all_303_1 = all_297_0
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | SIMP: (2799) implies:
% 75.38/11.22 | | | | | | | | | | | | (2800) all_303_1 = all_297_0
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2786), (2800) imply:
% 75.38/11.22 | | | | | | | | | | | | (2801) all_297_0 = true
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2773), (2801) imply:
% 75.38/11.22 | | | | | | | | | | | | (2802) all_305_1 = true
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2778), (2794) imply:
% 75.38/11.22 | | | | | | | | | | | | (2803) all_315_1 = true
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2776), (2794) imply:
% 75.38/11.22 | | | | | | | | | | | | (2804) all_319_1 = true
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2746), (2804) imply:
% 75.38/11.22 | | | | | | | | | | | | (2805) all_321_1 = true
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2753), (2802) imply:
% 75.38/11.22 | | | | | | | | | | | | (2806) all_327_1 = true
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2755), (2801) imply:
% 75.38/11.22 | | | | | | | | | | | | (2807) all_329_1 = true
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2762), (2784) imply:
% 75.38/11.22 | | | | | | | | | | | | (2808) all_329_0 = all_44_1
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | REDUCE: (2741), (2807), (2808) imply:
% 75.38/11.22 | | | | | | | | | | | | (2809) lazy_impl(true, all_44_1) = all_329_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | REDUCE: (2737), (2806) imply:
% 75.38/11.22 | | | | | | | | | | | | (2810) lazy_impl(true, all_327_0) = all_327_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | REDUCE: (2728), (2805) imply:
% 75.38/11.22 | | | | | | | | | | | | (2811) lazy_impl(true, all_321_0) = all_321_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | REDUCE: (2724), (2804) imply:
% 75.38/11.22 | | | | | | | | | | | | (2812) lazy_impl(true, all_319_0) = all_319_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | REDUCE: (2718), (2758), (2803) imply:
% 75.38/11.22 | | | | | | | | | | | | (2813) lazy_impl(true, all_42_2) = all_315_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | REDUCE: (2714), (2749), (2760) imply:
% 75.38/11.22 | | | | | | | | | | | | (2814) lazy_impl(true, all_44_1) = all_313_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | REDUCE: (2710), (2743), (2780) imply:
% 75.38/11.22 | | | | | | | | | | | | (2815) lazy_impl(true, all_42_2) = all_311_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | REDUCE: (2706), (2787), (2790) imply:
% 75.38/11.22 | | | | | | | | | | | | (2816) lazy_impl(true, all_42_2) = all_309_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | REDUCE: (2701), (2792), (2794) imply:
% 75.38/11.22 | | | | | | | | | | | | (2817) lazy_impl(true, all_42_2) = all_307_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | REDUCE: (2696), (2784), (2802) imply:
% 75.38/11.22 | | | | | | | | | | | | (2818) lazy_impl(true, all_44_1) = all_305_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | REDUCE: (2692), (2786), (2798) imply:
% 75.38/11.22 | | | | | | | | | | | | (2819) lazy_impl(true, all_44_1) = all_303_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | REDUCE: (2687), (2796) imply:
% 75.38/11.22 | | | | | | | | | | | | (2820) lazy_impl(true, all_42_2) = all_301_1
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | REDUCE: (2683), (2801) imply:
% 75.38/11.22 | | | | | | | | | | | | (2821) lazy_impl(true, all_44_1) = all_297_1
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_307_2, all_309_2,
% 75.38/11.22 | | | | | | | | | | | | all_42_2, true, simplifying with (2816), (2817)
% 75.38/11.22 | | | | | | | | | | | | gives:
% 75.38/11.22 | | | | | | | | | | | | (2822) all_309_2 = all_307_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_309_2, all_311_2,
% 75.38/11.22 | | | | | | | | | | | | all_42_2, true, simplifying with (2815), (2816)
% 75.38/11.22 | | | | | | | | | | | | gives:
% 75.38/11.22 | | | | | | | | | | | | (2823) all_311_2 = all_309_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_301_1, all_311_2,
% 75.38/11.22 | | | | | | | | | | | | all_42_2, true, simplifying with (2815), (2820)
% 75.38/11.22 | | | | | | | | | | | | gives:
% 75.38/11.22 | | | | | | | | | | | | (2824) all_311_2 = all_301_1
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (48) with err, all_315_2, all_42_2,
% 75.38/11.22 | | | | | | | | | | | | true, simplifying with (2648), (2813) gives:
% 75.38/11.22 | | | | | | | | | | | | (2825) all_315_2 = err
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_309_2, all_315_2,
% 75.38/11.22 | | | | | | | | | | | | all_42_2, true, simplifying with (2813), (2816)
% 75.38/11.22 | | | | | | | | | | | | gives:
% 75.38/11.22 | | | | | | | | | | | | (2826) all_315_2 = all_309_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_44_0, all_329_2,
% 75.38/11.22 | | | | | | | | | | | | all_44_1, true, simplifying with (2257), (2809)
% 75.38/11.22 | | | | | | | | | | | | gives:
% 75.38/11.22 | | | | | | | | | | | | (2827) all_329_2 = all_44_0
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_313_2, all_329_2,
% 75.38/11.22 | | | | | | | | | | | | all_44_1, true, simplifying with (2809), (2814)
% 75.38/11.22 | | | | | | | | | | | | gives:
% 75.38/11.22 | | | | | | | | | | | | (2828) all_329_2 = all_313_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_305_2, all_329_2,
% 75.38/11.22 | | | | | | | | | | | | all_44_1, true, simplifying with (2809), (2818)
% 75.38/11.22 | | | | | | | | | | | | gives:
% 75.38/11.22 | | | | | | | | | | | | (2829) all_329_2 = all_305_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_303_2, all_329_2,
% 75.38/11.22 | | | | | | | | | | | | all_44_1, true, simplifying with (2809), (2819)
% 75.38/11.22 | | | | | | | | | | | | gives:
% 75.38/11.22 | | | | | | | | | | | | (2830) all_329_2 = all_303_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_297_1, all_329_2,
% 75.38/11.22 | | | | | | | | | | | | all_44_1, true, simplifying with (2809), (2821)
% 75.38/11.22 | | | | | | | | | | | | gives:
% 75.38/11.22 | | | | | | | | | | | | (2831) all_329_2 = all_297_1
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2827), (2828) imply:
% 75.38/11.22 | | | | | | | | | | | | (2832) all_313_2 = all_44_0
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2828), (2830) imply:
% 75.38/11.22 | | | | | | | | | | | | (2833) all_313_2 = all_303_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2828), (2829) imply:
% 75.38/11.22 | | | | | | | | | | | | (2834) all_313_2 = all_305_2
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2828), (2831) imply:
% 75.38/11.22 | | | | | | | | | | | | (2835) all_313_2 = all_297_1
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2825), (2826) imply:
% 75.38/11.22 | | | | | | | | | | | | (2836) all_309_2 = err
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | SIMP: (2836) implies:
% 75.38/11.22 | | | | | | | | | | | | (2837) all_309_2 = err
% 75.38/11.22 | | | | | | | | | | | |
% 75.38/11.22 | | | | | | | | | | | | COMBINE_EQS: (2832), (2834) imply:
% 75.38/11.23 | | | | | | | | | | | | (2838) all_305_2 = all_44_0
% 75.38/11.23 | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | COMBINE_EQS: (2833), (2834) imply:
% 75.38/11.23 | | | | | | | | | | | | (2839) all_305_2 = all_303_2
% 75.38/11.23 | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | COMBINE_EQS: (2834), (2835) imply:
% 75.38/11.23 | | | | | | | | | | | | (2840) all_305_2 = all_297_1
% 75.38/11.23 | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | COMBINE_EQS: (2823), (2824) imply:
% 75.38/11.23 | | | | | | | | | | | | (2841) all_309_2 = all_301_1
% 75.38/11.23 | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | SIMP: (2841) implies:
% 75.38/11.23 | | | | | | | | | | | | (2842) all_309_2 = all_301_1
% 75.38/11.23 | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | COMBINE_EQS: (2822), (2842) imply:
% 75.38/11.23 | | | | | | | | | | | | (2843) all_307_2 = all_301_1
% 75.38/11.23 | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | COMBINE_EQS: (2822), (2837) imply:
% 75.38/11.23 | | | | | | | | | | | | (2844) all_307_2 = err
% 75.38/11.23 | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | COMBINE_EQS: (2843), (2844) imply:
% 75.38/11.23 | | | | | | | | | | | | (2845) all_301_1 = err
% 75.38/11.23 | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | COMBINE_EQS: (2838), (2839) imply:
% 75.38/11.23 | | | | | | | | | | | | (2846) all_303_2 = all_44_0
% 75.38/11.23 | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | COMBINE_EQS: (2839), (2840) imply:
% 75.38/11.23 | | | | | | | | | | | | (2847) all_303_2 = all_297_1
% 75.38/11.23 | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | COMBINE_EQS: (2846), (2847) imply:
% 75.38/11.23 | | | | | | | | | | | | (2848) all_297_1 = all_44_0
% 75.38/11.23 | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | SIMP: (2848) implies:
% 75.38/11.23 | | | | | | | | | | | | (2849) all_297_1 = all_44_0
% 75.38/11.23 | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | REDUCE: (2702), (2844) imply:
% 75.38/11.23 | | | | | | | | | | | | (2850) f2(true, false, all_42_2) = err
% 75.38/11.23 | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | GROUND_INST: instantiating (impl_axiom1) with err, err,
% 75.38/11.23 | | | | | | | | | | | | all_317_0, simplifying with (11), (2720) gives:
% 75.38/11.23 | | | | | | | | | | | | (2851) ? [v0: any] : ? [v1: $i] : (phi(err) = v1 &
% 75.38/11.23 | | | | | | | | | | | | bool(err) = v0 & $i(v1) & (v1 = all_317_0 | v0 =
% 75.38/11.23 | | | | | | | | | | | | 0))
% 75.38/11.23 | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | GROUND_INST: instantiating (impl_axiom1) with err, all_42_2,
% 75.38/11.23 | | | | | | | | | | | | all_321_0, simplifying with (11), (54), (2727)
% 75.38/11.23 | | | | | | | | | | | | gives:
% 75.38/11.23 | | | | | | | | | | | | (2852) ? [v0: any] : ? [v1: $i] : (phi(err) = v1 &
% 75.38/11.23 | | | | | | | | | | | | bool(err) = v0 & $i(v1) & (v1 = all_321_0 | v0 =
% 75.38/11.23 | | | | | | | | | | | | 0))
% 75.38/11.23 | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | GROUND_INST: instantiating (impl_axiom1) with all_44_0,
% 75.38/11.23 | | | | | | | | | | | | all_44_1, all_327_0, simplifying with (58), (59),
% 75.38/11.23 | | | | | | | | | | | | (2736) gives:
% 75.38/11.23 | | | | | | | | | | | | (2853) ? [v0: any] : ? [v1: $i] : (phi(all_44_0) = v1 &
% 75.38/11.23 | | | | | | | | | | | | bool(all_44_0) = v0 & $i(v1) & (v1 = all_327_0 |
% 75.38/11.23 | | | | | | | | | | | | v0 = 0))
% 75.38/11.23 | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | GROUND_INST: instantiating (27) with true, all_42_2, all_42_2,
% 75.38/11.23 | | | | | | | | | | | | all_319_0, all_319_2, simplifying with (36), (54),
% 75.38/11.23 | | | | | | | | | | | | (2723), (2812) gives:
% 75.38/11.23 | | | | | | | | | | | | (2854) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.38/11.23 | | | | | | | | | | | | (f2(true, all_42_2, all_42_2) = v0 & lazy_impl(v1,
% 75.38/11.23 | | | | | | | | | | | | v2) = v0 & impl(all_319_2, all_42_2) = v2 &
% 75.38/11.23 | | | | | | | | | | | | prop(all_42_2) = v1 & $i(v2) & $i(v1) & $i(v0))
% 75.38/11.23 | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | DELTA: instantiating (2853) with fresh symbols all_349_0,
% 75.38/11.23 | | | | | | | | | | | | all_349_1 gives:
% 75.38/11.23 | | | | | | | | | | | | (2855) phi(all_44_0) = all_349_0 & bool(all_44_0) =
% 75.38/11.23 | | | | | | | | | | | | all_349_1 & $i(all_349_0) & (all_349_0 = all_327_0
% 75.38/11.23 | | | | | | | | | | | | | all_349_1 = 0)
% 75.38/11.23 | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | ALPHA: (2855) implies:
% 75.38/11.23 | | | | | | | | | | | | (2856) bool(all_44_0) = all_349_1
% 75.38/11.23 | | | | | | | | | | | | (2857) phi(all_44_0) = all_349_0
% 75.38/11.23 | | | | | | | | | | | | (2858) all_349_0 = all_327_0 | all_349_1 = 0
% 75.38/11.23 | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | DELTA: instantiating (2851) with fresh symbols all_351_0,
% 75.38/11.23 | | | | | | | | | | | | all_351_1 gives:
% 75.38/11.23 | | | | | | | | | | | | (2859) phi(err) = all_351_0 & bool(err) = all_351_1 &
% 75.38/11.23 | | | | | | | | | | | | $i(all_351_0) & (all_351_0 = all_317_0 | all_351_1
% 75.38/11.23 | | | | | | | | | | | | = 0)
% 75.38/11.23 | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | ALPHA: (2859) implies:
% 75.38/11.23 | | | | | | | | | | | | (2860) phi(err) = all_351_0
% 75.38/11.23 | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | DELTA: instantiating (2852) with fresh symbols all_357_0,
% 75.38/11.23 | | | | | | | | | | | | all_357_1 gives:
% 75.38/11.23 | | | | | | | | | | | | (2861) phi(err) = all_357_0 & bool(err) = all_357_1 &
% 75.38/11.23 | | | | | | | | | | | | $i(all_357_0) & (all_357_0 = all_321_0 | all_357_1
% 75.38/11.23 | | | | | | | | | | | | = 0)
% 75.38/11.23 | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | ALPHA: (2861) implies:
% 75.38/11.23 | | | | | | | | | | | | (2862) bool(err) = all_357_1
% 75.38/11.23 | | | | | | | | | | | | (2863) phi(err) = all_357_0
% 75.38/11.23 | | | | | | | | | | | | (2864) all_357_0 = all_321_0 | all_357_1 = 0
% 75.38/11.23 | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | DELTA: instantiating (2854) with fresh symbols all_367_0,
% 75.38/11.23 | | | | | | | | | | | | all_367_1, all_367_2 gives:
% 75.38/11.23 | | | | | | | | | | | | (2865) f2(true, all_42_2, all_42_2) = all_367_2 &
% 75.38/11.23 | | | | | | | | | | | | lazy_impl(all_367_1, all_367_0) = all_367_2 &
% 75.38/11.23 | | | | | | | | | | | | impl(all_319_2, all_42_2) = all_367_0 &
% 75.38/11.23 | | | | | | | | | | | | prop(all_42_2) = all_367_1 & $i(all_367_0) &
% 75.38/11.23 | | | | | | | | | | | | $i(all_367_1) & $i(all_367_2)
% 75.38/11.23 | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | ALPHA: (2865) implies:
% 75.38/11.23 | | | | | | | | | | | | (2866) f2(true, all_42_2, all_42_2) = all_367_2
% 75.38/11.23 | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_91_1, all_357_1, err,
% 75.38/11.23 | | | | | | | | | | | | simplifying with (160), (2862) gives:
% 75.38/11.23 | | | | | | | | | | | | (2867) all_357_1 = all_91_1
% 75.38/11.23 | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_57_1, all_349_1,
% 75.38/11.23 | | | | | | | | | | | | all_44_0, simplifying with (85), (2856) gives:
% 75.38/11.23 | | | | | | | | | | | | (2868) all_349_1 = all_57_1
% 75.38/11.23 | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | GROUND_INST: instantiating (42) with err, all_357_0, err,
% 75.38/11.23 | | | | | | | | | | | | simplifying with (65), (2863) gives:
% 75.38/11.23 | | | | | | | | | | | | (2869) all_357_0 = err
% 75.38/11.23 | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | GROUND_INST: instantiating (42) with all_351_0, all_357_0, err,
% 75.38/11.23 | | | | | | | | | | | | simplifying with (2860), (2863) gives:
% 75.38/11.23 | | | | | | | | | | | | (2870) all_357_0 = all_351_0
% 75.38/11.23 | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | GROUND_INST: instantiating (42) with err, all_349_0, all_44_0,
% 75.38/11.23 | | | | | | | | | | | | simplifying with (2248), (2857) gives:
% 75.38/11.23 | | | | | | | | | | | | (2871) all_349_0 = err
% 75.38/11.23 | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | COMBINE_EQS: (2869), (2870) imply:
% 75.38/11.23 | | | | | | | | | | | | (2872) all_351_0 = err
% 75.38/11.23 | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | BETA: splitting (2858) gives:
% 75.38/11.23 | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | Case 1:
% 75.38/11.23 | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | (2873) all_349_1 = 0
% 75.38/11.23 | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | COMBINE_EQS: (2868), (2873) imply:
% 75.38/11.23 | | | | | | | | | | | | | (2874) all_57_1 = 0
% 75.38/11.23 | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | SIMP: (2874) implies:
% 75.38/11.23 | | | | | | | | | | | | | (2875) all_57_1 = 0
% 75.38/11.23 | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | REDUCE: (1856), (2875) imply:
% 75.38/11.23 | | | | | | | | | | | | | (2876) $false
% 75.38/11.23 | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | CLOSE: (2876) is inconsistent.
% 75.38/11.23 | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | Case 2:
% 75.38/11.23 | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | (2877) all_349_0 = all_327_0
% 75.38/11.23 | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | COMBINE_EQS: (2871), (2877) imply:
% 75.38/11.23 | | | | | | | | | | | | | (2878) all_327_0 = err
% 75.38/11.23 | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | REDUCE: (2810), (2878) imply:
% 75.38/11.23 | | | | | | | | | | | | | (2879) lazy_impl(true, err) = all_327_2
% 75.38/11.23 | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | BETA: splitting (2864) gives:
% 75.38/11.23 | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | Case 1:
% 75.38/11.23 | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | (2880) all_357_1 = 0
% 75.38/11.23 | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | COMBINE_EQS: (2867), (2880) imply:
% 75.38/11.23 | | | | | | | | | | | | | | (2881) all_91_1 = 0
% 75.38/11.23 | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | SIMP: (2881) implies:
% 75.38/11.23 | | | | | | | | | | | | | | (2882) all_91_1 = 0
% 75.38/11.23 | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | REDUCE: (2651), (2882) imply:
% 75.38/11.23 | | | | | | | | | | | | | | (2883) $false
% 75.38/11.23 | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | CLOSE: (2883) is inconsistent.
% 75.38/11.23 | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | Case 2:
% 75.38/11.23 | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | (2884) all_357_0 = all_321_0
% 75.38/11.23 | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | COMBINE_EQS: (2869), (2884) imply:
% 75.38/11.23 | | | | | | | | | | | | | | (2885) all_321_0 = err
% 75.38/11.23 | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | REDUCE: (2811), (2885) imply:
% 75.38/11.23 | | | | | | | | | | | | | | (2886) lazy_impl(true, err) = all_321_2
% 75.38/11.23 | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | GROUND_INST: instantiating (48) with err, all_327_2, err, true,
% 75.38/11.23 | | | | | | | | | | | | | | simplifying with (125), (2879) gives:
% 75.38/11.23 | | | | | | | | | | | | | | (2887) all_327_2 = err
% 75.38/11.23 | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_321_2, all_327_2, err,
% 75.38/11.23 | | | | | | | | | | | | | | true, simplifying with (2879), (2886) gives:
% 75.38/11.23 | | | | | | | | | | | | | | (2888) all_327_2 = all_321_2
% 75.38/11.23 | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | COMBINE_EQS: (2887), (2888) imply:
% 75.38/11.23 | | | | | | | | | | | | | | (2889) all_321_2 = err
% 75.38/11.23 | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | REDUCE: (2729), (2889) imply:
% 75.38/11.23 | | | | | | | | | | | | | | (2890) f2(true, true, all_42_2) = err
% 75.38/11.23 | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | BETA: splitting (2262) gives:
% 75.38/11.23 | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | Case 1:
% 75.38/11.23 | | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | | (2891) all_42_2 = true
% 75.38/11.23 | | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | | REDUCE: (2866), (2891) imply:
% 75.38/11.23 | | | | | | | | | | | | | | | (2892) f2(true, true, true) = all_367_2
% 75.38/11.23 | | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | | REDUCE: (2890), (2891) imply:
% 75.38/11.23 | | | | | | | | | | | | | | | (2893) f2(true, true, true) = err
% 75.38/11.23 | | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with true, all_367_2, true,
% 75.38/11.23 | | | | | | | | | | | | | | | true, true, simplifying with (528), (2892) gives:
% 75.38/11.23 | | | | | | | | | | | | | | | (2894) all_367_2 = true
% 75.38/11.23 | | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with err, all_367_2, true,
% 75.38/11.23 | | | | | | | | | | | | | | | true, true, simplifying with (2892), (2893) gives:
% 75.38/11.23 | | | | | | | | | | | | | | | (2895) all_367_2 = err
% 75.38/11.23 | | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | | COMBINE_EQS: (2894), (2895) imply:
% 75.38/11.23 | | | | | | | | | | | | | | | (2896) err = true
% 75.38/11.23 | | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | | REDUCE: (5), (2896) imply:
% 75.38/11.23 | | | | | | | | | | | | | | | (2897) $false
% 75.38/11.23 | | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | | CLOSE: (2897) is inconsistent.
% 75.38/11.23 | | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | Case 2:
% 75.38/11.23 | | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | | (2898) all_42_2 = false
% 75.38/11.23 | | | | | | | | | | | | | | | (2899) ~ (all_42_2 = true)
% 75.38/11.23 | | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | | REDUCE: (2866), (2898) imply:
% 75.38/11.23 | | | | | | | | | | | | | | | (2900) f2(true, false, false) = all_367_2
% 75.38/11.23 | | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | | REDUCE: (2890), (2898) imply:
% 75.38/11.23 | | | | | | | | | | | | | | | (2901) f2(true, true, false) = err
% 75.38/11.23 | | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | | REDUCE: (2850), (2898) imply:
% 75.38/11.23 | | | | | | | | | | | | | | | (2902) f2(true, false, false) = err
% 75.38/11.23 | | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with false, all_367_2, false,
% 75.38/11.23 | | | | | | | | | | | | | | | false, true, simplifying with (530), (2900) gives:
% 75.38/11.23 | | | | | | | | | | | | | | | (2903) all_367_2 = false
% 75.38/11.23 | | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with err, all_367_2, false,
% 75.38/11.23 | | | | | | | | | | | | | | | false, true, simplifying with (2900), (2902)
% 75.38/11.23 | | | | | | | | | | | | | | | gives:
% 75.38/11.23 | | | | | | | | | | | | | | | (2904) all_367_2 = err
% 75.38/11.23 | | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with true, err, false, true,
% 75.38/11.23 | | | | | | | | | | | | | | | true, simplifying with (529), (2901) gives:
% 75.38/11.23 | | | | | | | | | | | | | | | (2905) err = true
% 75.38/11.23 | | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | | COMBINE_EQS: (2903), (2904) imply:
% 75.38/11.23 | | | | | | | | | | | | | | | (2906) err = false
% 75.38/11.23 | | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | | COMBINE_EQS: (2905), (2906) imply:
% 75.38/11.23 | | | | | | | | | | | | | | | (2907) true = false
% 75.38/11.23 | | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | | SIMP: (2907) implies:
% 75.38/11.23 | | | | | | | | | | | | | | | (2908) true = false
% 75.38/11.23 | | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | | REDUCE: (185), (2908) imply:
% 75.38/11.23 | | | | | | | | | | | | | | | (2909) $false
% 75.38/11.23 | | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | | CLOSE: (2909) is inconsistent.
% 75.38/11.23 | | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | | End of split
% 75.38/11.23 | | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | | End of split
% 75.38/11.23 | | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | | End of split
% 75.38/11.23 | | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | | End of split
% 75.38/11.23 | | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | | End of split
% 75.38/11.23 | | | | | | | | | |
% 75.38/11.23 | | | | | | | | | End of split
% 75.38/11.23 | | | | | | | | |
% 75.38/11.23 | | | | | | | | End of split
% 75.38/11.23 | | | | | | | |
% 75.38/11.23 | | | | | | | Case 2:
% 75.38/11.23 | | | | | | | |
% 75.38/11.23 | | | | | | | | (2910) ? [v0: int] : ( ~ (v0 = 0) & bool(all_44_1) = v0)
% 75.38/11.23 | | | | | | | |
% 75.38/11.23 | | | | | | | | DELTA: instantiating (2910) with fresh symbol all_245_0 gives:
% 75.38/11.23 | | | | | | | | (2911) ~ (all_245_0 = 0) & bool(all_44_1) = all_245_0
% 75.38/11.23 | | | | | | | |
% 75.38/11.23 | | | | | | | | REF_CLOSE: (40), (2253), (2911) are inconsistent by sub-proof
% 75.38/11.23 | | | | | | | | #6.
% 75.38/11.23 | | | | | | | |
% 75.38/11.23 | | | | | | | End of split
% 75.38/11.23 | | | | | | |
% 75.38/11.23 | | | | | | Case 2:
% 75.38/11.23 | | | | | | |
% 75.38/11.23 | | | | | | | (2912) all_55_0 = false
% 75.38/11.23 | | | | | | |
% 75.38/11.23 | | | | | | | REDUCE: (83), (2912) imply:
% 75.38/11.23 | | | | | | | (2913) lazy_impl(false, all_44_1) = all_44_0
% 75.38/11.23 | | | | | | |
% 75.38/11.23 | | | | | | | BETA: splitting (130) gives:
% 75.38/11.23 | | | | | | |
% 75.38/11.23 | | | | | | | Case 1:
% 75.38/11.23 | | | | | | | |
% 75.38/11.23 | | | | | | | | (2914) all_55_0 = true
% 75.38/11.23 | | | | | | | |
% 75.38/11.23 | | | | | | | | COMBINE_EQS: (2912), (2914) imply:
% 75.38/11.23 | | | | | | | | (2915) true = false
% 75.38/11.23 | | | | | | | |
% 75.38/11.23 | | | | | | | | REDUCE: (185), (2915) imply:
% 75.38/11.23 | | | | | | | | (2916) $false
% 75.38/11.23 | | | | | | | |
% 75.38/11.23 | | | | | | | | CLOSE: (2916) is inconsistent.
% 75.38/11.23 | | | | | | | |
% 75.38/11.23 | | | | | | | Case 2:
% 75.38/11.23 | | | | | | | |
% 75.38/11.23 | | | | | | | | (2917) ~ (all_55_0 = true)
% 75.38/11.23 | | | | | | | |
% 75.38/11.23 | | | | | | | | GROUND_INST: instantiating (22) with all_44_1, all_44_0,
% 75.38/11.23 | | | | | | | | simplifying with (58), (2913) gives:
% 75.38/11.23 | | | | | | | | (2918) all_44_0 = true
% 75.38/11.23 | | | | | | | |
% 75.38/11.23 | | | | | | | | REDUCE: (1857), (2918) imply:
% 75.38/11.23 | | | | | | | | (2919) prop(true) = false
% 75.38/11.23 | | | | | | | |
% 75.38/11.23 | | | | | | | | REF_CLOSE: (43), (115), (185), (2919) are inconsistent by
% 75.38/11.23 | | | | | | | | sub-proof #3.
% 75.38/11.23 | | | | | | | |
% 75.38/11.23 | | | | | | | End of split
% 75.38/11.23 | | | | | | |
% 75.38/11.23 | | | | | | End of split
% 75.38/11.23 | | | | | |
% 75.38/11.23 | | | | | End of split
% 75.38/11.23 | | | | |
% 75.38/11.23 | | | | Case 2:
% 75.38/11.23 | | | | |
% 75.38/11.23 | | | | | (2920) all_59_0 = all_42_1
% 75.38/11.23 | | | | | (2921) ~ (all_59_1 = 0)
% 75.38/11.23 | | | | |
% 75.38/11.23 | | | | | COMBINE_EQS: (174), (2920) imply:
% 75.38/11.23 | | | | | (2922) all_89_0 = all_42_1
% 75.38/11.23 | | | | |
% 75.38/11.23 | | | | | REF_CLOSE: (53), (158), (170), (2921), (2922) are inconsistent by
% 75.38/11.23 | | | | | sub-proof #4.
% 75.38/11.23 | | | | |
% 75.38/11.23 | | | | End of split
% 75.38/11.23 | | | |
% 75.38/11.23 | | | End of split
% 75.38/11.23 | | |
% 75.38/11.23 | | Case 2:
% 75.38/11.23 | | |
% 75.38/11.23 | | | (2923) all_57_1 = 0
% 75.38/11.23 | | |
% 75.38/11.23 | | | REDUCE: (1856), (2923) imply:
% 75.38/11.23 | | | (2924) $false
% 75.38/11.23 | | |
% 75.38/11.23 | | | CLOSE: (2924) is inconsistent.
% 75.38/11.23 | | |
% 75.38/11.23 | | End of split
% 75.38/11.23 | |
% 75.38/11.23 | End of split
% 75.38/11.23 |
% 75.38/11.23 End of proof
% 75.38/11.24
% 75.38/11.24 Sub-proof #1 shows that the following formulas are inconsistent:
% 75.38/11.24 ----------------------------------------------------------------
% 75.38/11.24 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1
% 75.38/11.24 = v0 | ~ (f2(v4, v3, v2) = v1) | ~ (f2(v4, v3, v2) = v0))
% 75.38/11.24 (2) f2(true, true, true) = all_369_2
% 75.38/11.24 (3) f2(true, true, true) = err
% 75.38/11.24 (4) ~ (err = true)
% 75.38/11.24 (5) f2(true, true, true) = true
% 75.38/11.24
% 75.38/11.24 Begin of proof
% 75.38/11.24 |
% 75.38/11.24 | GROUND_INST: instantiating (1) with true, all_369_2, true, true, true,
% 75.38/11.24 | simplifying with (2), (5) gives:
% 75.38/11.24 | (6) all_369_2 = true
% 75.38/11.24 |
% 75.38/11.24 | GROUND_INST: instantiating (1) with err, all_369_2, true, true, true,
% 75.38/11.24 | simplifying with (2), (3) gives:
% 75.38/11.24 | (7) all_369_2 = err
% 75.38/11.24 |
% 75.38/11.24 | COMBINE_EQS: (6), (7) imply:
% 75.38/11.24 | (8) err = true
% 75.38/11.24 |
% 75.38/11.24 | REDUCE: (4), (8) imply:
% 75.38/11.24 | (9) $false
% 75.38/11.24 |
% 75.38/11.24 | CLOSE: (9) is inconsistent.
% 75.38/11.24 |
% 75.38/11.24 End of proof
% 75.38/11.24
% 75.38/11.24 Sub-proof #2 shows that the following formulas are inconsistent:
% 75.38/11.24 ----------------------------------------------------------------
% 75.38/11.24 (1) all_95_1 = all_91_1
% 75.38/11.24 (2) all_95_1 = 0
% 75.38/11.24 (3) ~ (all_91_1 = 0)
% 75.38/11.24
% 75.38/11.24 Begin of proof
% 75.38/11.24 |
% 75.38/11.24 | COMBINE_EQS: (1), (2) imply:
% 75.38/11.24 | (4) all_91_1 = 0
% 75.38/11.24 |
% 75.38/11.24 | SIMP: (4) implies:
% 75.38/11.24 | (5) all_91_1 = 0
% 75.38/11.24 |
% 75.38/11.24 | REDUCE: (3), (5) imply:
% 75.38/11.24 | (6) $false
% 75.38/11.24 |
% 75.38/11.24 | CLOSE: (6) is inconsistent.
% 75.38/11.24 |
% 75.38/11.24 End of proof
% 75.38/11.24
% 75.38/11.24 Sub-proof #3 shows that the following formulas are inconsistent:
% 75.38/11.24 ----------------------------------------------------------------
% 75.38/11.24 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (prop(v2) = v1) |
% 75.38/11.24 ~ (prop(v2) = v0))
% 75.38/11.24 (2) prop(true) = true
% 75.38/11.24 (3) prop(true) = false
% 75.38/11.24 (4) ~ (true = false)
% 75.38/11.24
% 75.38/11.24 Begin of proof
% 75.38/11.24 |
% 75.38/11.24 | GROUND_INST: instantiating (1) with true, false, true, simplifying with (2),
% 75.38/11.24 | (3) gives:
% 75.38/11.24 | (5) true = false
% 75.38/11.24 |
% 75.38/11.24 | REDUCE: (4), (5) imply:
% 75.38/11.24 | (6) $false
% 75.38/11.24 |
% 75.38/11.24 | CLOSE: (6) is inconsistent.
% 75.38/11.24 |
% 75.38/11.24 End of proof
% 75.38/11.24
% 75.38/11.24 Sub-proof #4 shows that the following formulas are inconsistent:
% 75.38/11.24 ----------------------------------------------------------------
% 75.38/11.24 (1) all_89_1 = all_59_1
% 75.38/11.24 (2) ~ (all_42_0 = all_42_1)
% 75.38/11.24 (3) all_89_0 = all_42_0 | all_89_1 = 0
% 75.38/11.24 (4) all_89_0 = all_42_1
% 75.38/11.24 (5) ~ (all_59_1 = 0)
% 75.38/11.24
% 75.38/11.24 Begin of proof
% 75.38/11.24 |
% 75.38/11.24 | BETA: splitting (3) gives:
% 75.38/11.24 |
% 75.38/11.24 | Case 1:
% 75.38/11.24 | |
% 75.38/11.24 | | (6) all_89_1 = 0
% 75.38/11.24 | |
% 75.38/11.24 | | COMBINE_EQS: (1), (6) imply:
% 75.38/11.24 | | (7) all_59_1 = 0
% 75.38/11.24 | |
% 75.38/11.24 | | REDUCE: (5), (7) imply:
% 75.38/11.24 | | (8) $false
% 75.38/11.24 | |
% 75.38/11.24 | | CLOSE: (8) is inconsistent.
% 75.38/11.24 | |
% 75.38/11.24 | Case 2:
% 75.38/11.24 | |
% 75.38/11.24 | | (9) all_89_0 = all_42_0
% 75.38/11.24 | |
% 75.38/11.24 | | COMBINE_EQS: (4), (9) imply:
% 75.38/11.24 | | (10) all_42_0 = all_42_1
% 75.38/11.24 | |
% 75.38/11.24 | | REDUCE: (2), (10) imply:
% 75.38/11.24 | | (11) $false
% 75.38/11.24 | |
% 75.38/11.24 | | CLOSE: (11) is inconsistent.
% 75.38/11.24 | |
% 75.38/11.24 | End of split
% 75.38/11.24 |
% 75.38/11.24 End of proof
% 75.38/11.24
% 75.38/11.24 Sub-proof #5 shows that the following formulas are inconsistent:
% 75.38/11.24 ----------------------------------------------------------------
% 75.38/11.24 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1
% 75.38/11.24 = v0 | ~ (f2(v4, v3, v2) = v1) | ~ (f2(v4, v3, v2) = v0))
% 75.38/11.24 (2) f2(true, true, false) = err
% 75.38/11.24 (3) f2(true, true, false) = true
% 75.38/11.24 (4) ~ (err = true)
% 75.38/11.24
% 75.38/11.24 Begin of proof
% 75.38/11.24 |
% 75.38/11.24 | GROUND_INST: instantiating (1) with true, err, false, true, true, simplifying
% 75.38/11.24 | with (2), (3) gives:
% 75.38/11.24 | (5) err = true
% 75.38/11.24 |
% 75.38/11.24 | REDUCE: (4), (5) imply:
% 75.38/11.24 | (6) $false
% 75.38/11.24 |
% 75.38/11.24 | CLOSE: (6) is inconsistent.
% 75.38/11.24 |
% 75.38/11.24 End of proof
% 75.38/11.24
% 75.38/11.24 Sub-proof #6 shows that the following formulas are inconsistent:
% 75.38/11.24 ----------------------------------------------------------------
% 75.38/11.24 (1) ~ (all_245_0 = 0) & bool(all_44_1) = all_245_0
% 75.38/11.24 (2) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 75.38/11.24 (v1 = v0 | ~ (bool(v2) = v1) | ~ (bool(v2) = v0))
% 75.38/11.24 (3) bool(all_44_1) = 0
% 75.38/11.24
% 75.38/11.24 Begin of proof
% 75.38/11.24 |
% 75.38/11.24 | ALPHA: (1) implies:
% 75.38/11.24 | (4) ~ (all_245_0 = 0)
% 75.38/11.24 | (5) bool(all_44_1) = all_245_0
% 75.38/11.24 |
% 75.38/11.24 | GROUND_INST: instantiating (2) with 0, all_245_0, all_44_1, simplifying with
% 75.38/11.24 | (3), (5) gives:
% 75.38/11.24 | (6) all_245_0 = 0
% 75.38/11.24 |
% 75.38/11.24 | REDUCE: (4), (6) imply:
% 75.38/11.24 | (7) $false
% 75.38/11.24 |
% 75.38/11.24 | CLOSE: (7) is inconsistent.
% 75.38/11.24 |
% 75.38/11.24 End of proof
% 75.38/11.24
% 75.38/11.24 Sub-proof #7 shows that the following formulas are inconsistent:
% 75.38/11.24 ----------------------------------------------------------------
% 75.38/11.24 (1) bool(err) = 0
% 75.38/11.24 (2) ! [v0: $i] : (v0 = true | v0 = false | ~ (bool(v0) = 0) | ~ $i(v0))
% 75.38/11.24 (3) $i(err)
% 75.38/11.24 (4) ~ (err = true)
% 75.38/11.24 (5) ~ (err = false)
% 75.38/11.24
% 75.38/11.24 Begin of proof
% 75.38/11.24 |
% 75.38/11.24 | GROUND_INST: instantiating (2) with err, simplifying with (1), (3) gives:
% 75.38/11.24 | (6) err = true | err = false
% 75.38/11.24 |
% 75.38/11.24 | BETA: splitting (6) gives:
% 75.38/11.24 |
% 75.38/11.24 | Case 1:
% 75.38/11.24 | |
% 75.38/11.24 | | (7) err = true
% 75.38/11.24 | |
% 75.38/11.24 | | REDUCE: (4), (7) imply:
% 75.38/11.24 | | (8) $false
% 75.38/11.24 | |
% 75.38/11.24 | | CLOSE: (8) is inconsistent.
% 75.38/11.24 | |
% 75.38/11.24 | Case 2:
% 75.38/11.24 | |
% 75.38/11.24 | | (9) err = false
% 75.38/11.24 | |
% 75.38/11.24 | | REDUCE: (5), (9) imply:
% 75.38/11.24 | | (10) $false
% 75.38/11.24 | |
% 75.38/11.24 | | CLOSE: (10) is inconsistent.
% 75.38/11.24 | |
% 75.38/11.24 | End of split
% 75.38/11.24 |
% 75.38/11.24 End of proof
% 75.38/11.24
% 75.38/11.24 Sub-proof #8 shows that the following formulas are inconsistent:
% 75.38/11.24 ----------------------------------------------------------------
% 75.38/11.24 (1) ! [v0: int] : (v0 = 0 | ~ (forallprefers(false, true) = v0))
% 75.38/11.24 (2) forallprefers(false, true) = all_178_0
% 75.38/11.24 (3) ~ (all_178_0 = 0)
% 75.38/11.24
% 75.38/11.24 Begin of proof
% 75.38/11.24 |
% 75.38/11.24 | GROUND_INST: instantiating (1) with all_178_0, simplifying with (2) gives:
% 75.38/11.24 | (4) all_178_0 = 0
% 75.38/11.24 |
% 75.38/11.24 | REDUCE: (3), (4) imply:
% 75.38/11.24 | (5) $false
% 75.38/11.24 |
% 75.38/11.24 | CLOSE: (5) is inconsistent.
% 75.38/11.24 |
% 75.38/11.24 End of proof
% 75.38/11.24 % SZS output end Proof for theBenchmark
% 75.38/11.24
% 75.38/11.24 10653ms
%------------------------------------------------------------------------------