TSTP Solution File: NUM512+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : NUM512+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 11:48:16 EDT 2023
% Result : Theorem 15.02s 2.70s
% Output : Proof 52.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM512+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 14:57:41 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.60 ________ _____
% 0.19/0.60 ___ __ \_________(_)________________________________
% 0.19/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.60
% 0.19/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.60 (2023-06-19)
% 0.19/0.60
% 0.19/0.60 (c) Philipp Rümmer, 2009-2023
% 0.19/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.60 Amanda Stjerna.
% 0.19/0.60 Free software under BSD-3-Clause.
% 0.19/0.60
% 0.19/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.60
% 0.19/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.61 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 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 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 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 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 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.27/1.13 Prover 1: Preprocessing ...
% 3.27/1.13 Prover 4: Preprocessing ...
% 3.75/1.17 Prover 6: Preprocessing ...
% 3.75/1.17 Prover 5: Preprocessing ...
% 3.75/1.17 Prover 2: Preprocessing ...
% 3.75/1.17 Prover 0: Preprocessing ...
% 3.75/1.17 Prover 3: Preprocessing ...
% 9.23/1.92 Prover 1: Constructing countermodel ...
% 9.23/1.92 Prover 3: Constructing countermodel ...
% 9.23/1.93 Prover 6: Proving ...
% 9.23/1.94 Prover 5: Constructing countermodel ...
% 9.23/2.10 Prover 2: Proving ...
% 10.15/2.23 Prover 4: Constructing countermodel ...
% 11.56/2.24 Prover 0: Proving ...
% 15.02/2.70 Prover 3: proved (2081ms)
% 15.02/2.70
% 15.02/2.70 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.02/2.70
% 15.02/2.71 Prover 5: stopped
% 15.02/2.71 Prover 2: stopped
% 15.02/2.71 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 15.02/2.71 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 15.02/2.71 Prover 0: stopped
% 15.02/2.72 Prover 6: stopped
% 15.02/2.73 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 15.02/2.73 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 15.02/2.73 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 15.60/2.83 Prover 7: Preprocessing ...
% 15.60/2.84 Prover 10: Preprocessing ...
% 15.60/2.85 Prover 8: Preprocessing ...
% 15.60/2.87 Prover 13: Preprocessing ...
% 15.95/2.91 Prover 11: Preprocessing ...
% 16.89/2.96 Prover 10: Constructing countermodel ...
% 16.89/3.02 Prover 8: Warning: ignoring some quantifiers
% 17.50/3.02 Prover 8: Constructing countermodel ...
% 17.50/3.02 Prover 7: Constructing countermodel ...
% 17.50/3.04 Prover 13: Constructing countermodel ...
% 19.25/3.26 Prover 11: Constructing countermodel ...
% 50.21/7.35 Prover 1: Found proof (size 917)
% 50.21/7.35 Prover 1: proved (6735ms)
% 50.21/7.36 Prover 7: stopped
% 50.21/7.36 Prover 8: stopped
% 50.21/7.36 Prover 4: stopped
% 50.21/7.36 Prover 13: stopped
% 50.21/7.36 Prover 10: stopped
% 50.21/7.36 Prover 11: stopped
% 50.89/7.36
% 50.89/7.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 50.89/7.36
% 51.17/7.45 % SZS output start Proof for theBenchmark
% 51.17/7.46 Assumptions after simplification:
% 51.17/7.46 ---------------------------------
% 51.17/7.46
% 51.17/7.46 (mAddAsso)
% 51.17/7.49 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 51.17/7.49 (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1)
% 51.17/7.49 | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: $i] : ?
% 51.17/7.49 [v9: $i] : (sdtpldt0(v1, v2) = v8 & sdtpldt0(v0, v8) = v9 &
% 51.17/7.49 aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0)
% 51.17/7.49 = v5 & $i(v9) & $i(v8) & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 =
% 51.17/7.49 v4)))
% 51.17/7.49
% 51.17/7.49 (mAddComm)
% 51.17/7.49 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtpldt0(v0, v1) = v2) | ~
% 51.17/7.49 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] :
% 51.17/7.49 (sdtpldt0(v1, v0) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3
% 51.17/7.49 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2)))
% 51.17/7.49
% 51.17/7.49 (mDefDiv)
% 51.17/7.49 ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~ (doDivides0(v0, v1) = v2) | ~
% 51.17/7.49 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : (aNaturalNumber0(v1) = v4
% 51.17/7.49 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))) | (( ~ (v2 = 0)
% 51.17/7.49 | ? [v3: $i] : (sdtasdt0(v0, v3) = v1 & aNaturalNumber0(v3) = 0 &
% 51.17/7.49 $i(v3))) & (v2 = 0 | ! [v3: $i] : ( ~ (sdtasdt0(v0, v3) = v1) | ~
% 51.17/7.49 $i(v3) | ? [v4: int] : ( ~ (v4 = 0) & aNaturalNumber0(v3) = v4)))))
% 51.17/7.49
% 51.17/7.49 (mDefLE)
% 51.17/7.50 ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~ (sdtlseqdt0(v0, v1) = v2) | ~
% 51.17/7.50 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : (aNaturalNumber0(v1) = v4
% 51.17/7.50 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))) | (( ~ (v2 = 0)
% 51.17/7.50 | ? [v3: $i] : (sdtpldt0(v0, v3) = v1 & aNaturalNumber0(v3) = 0 &
% 51.17/7.50 $i(v3))) & (v2 = 0 | ! [v3: $i] : ( ~ (sdtpldt0(v0, v3) = v1) | ~
% 51.17/7.50 $i(v3) | ? [v4: int] : ( ~ (v4 = 0) & aNaturalNumber0(v3) = v4)))))
% 51.17/7.50
% 51.17/7.50 (mDefPrime)
% 51.17/7.50 $i(sz10) & $i(sz00) & ! [v0: $i] : ! [v1: any] : ( ~ (isPrime0(v0) = v1) |
% 51.17/7.50 ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & aNaturalNumber0(v0) = v2) | (( ~
% 51.17/7.50 (v1 = 0) | ( ~ (v0 = sz10) & ~ (v0 = sz00) & ! [v2: $i] : (v2 = v0 |
% 51.17/7.50 v2 = sz10 | ~ (doDivides0(v2, v0) = 0) | ~ $i(v2) | ? [v3: int] :
% 51.17/7.50 ( ~ (v3 = 0) & aNaturalNumber0(v2) = v3)))) & (v1 = 0 | v0 = sz10 |
% 51.17/7.50 v0 = sz00 | ? [v2: $i] : ( ~ (v2 = v0) & ~ (v2 = sz10) &
% 51.17/7.50 doDivides0(v2, v0) = 0 & aNaturalNumber0(v2) = 0 & $i(v2)))))
% 51.17/7.50
% 51.17/7.50 (mDefQuot)
% 51.17/7.50 $i(sz00) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v0 = sz00 | ~
% 51.17/7.50 (sdtsldt0(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4:
% 51.17/7.50 any] : ? [v5: any] : (doDivides0(v0, v1) = v5 & aNaturalNumber0(v1) = v4
% 51.17/7.50 & aNaturalNumber0(v0) = v3 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0))) |
% 51.17/7.50 ( ! [v3: $i] : (v3 = v2 | ~ (sdtasdt0(v0, v3) = v1) | ~ $i(v3) | ? [v4:
% 51.17/7.50 int] : ( ~ (v4 = 0) & aNaturalNumber0(v3) = v4)) & ! [v3: $i] : ( ~
% 51.17/7.50 (sdtasdt0(v0, v2) = v3) | ~ $i(v2) | (v3 = v1 & aNaturalNumber0(v2) =
% 51.17/7.50 0))))
% 51.17/7.50
% 51.17/7.50 (mDivAsso)
% 51.17/7.51 $i(sz00) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v0 = sz00 | ~
% 51.17/7.51 (sdtsldt0(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4:
% 51.17/7.51 any] : ? [v5: any] : (doDivides0(v0, v1) = v5 & aNaturalNumber0(v1) = v4
% 51.17/7.51 & aNaturalNumber0(v0) = v3 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0))) |
% 51.17/7.51 ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (sdtsldt0(v4, v0) = v5) | ~
% 51.17/7.51 (sdtasdt0(v3, v1) = v4) | ~ $i(v3) | ? [v6: any] : ? [v7: $i] :
% 51.17/7.51 (sdtasdt0(v3, v2) = v7 & aNaturalNumber0(v3) = v6 & $i(v7) & ( ~ (v6 = 0)
% 51.17/7.51 | v7 = v5))))
% 51.17/7.51
% 51.17/7.51 (mDivLE)
% 51.17/7.51 $i(sz00) & ! [v0: $i] : ! [v1: $i] : (v1 = sz00 | ~ (doDivides0(v0, v1) =
% 51.17/7.51 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] :
% 51.17/7.51 (sdtlseqdt0(v0, v1) = v4 & aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) =
% 51.17/7.51 v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | v4 = 0)))
% 51.17/7.51
% 51.17/7.51 (mDivMin)
% 51.17/7.51 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (doDivides0(v0,
% 51.17/7.51 v3) = 0) | ~ (sdtpldt0(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 51.17/7.51 $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8:
% 51.17/7.51 any] : (doDivides0(v0, v2) = v8 & doDivides0(v0, v1) = v7 &
% 51.17/7.51 aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0)
% 51.17/7.51 = v4 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | v8 = 0)))
% 51.17/7.51
% 51.17/7.51 (mLEAsym)
% 51.17/7.51 ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (sdtlseqdt0(v0, v1) = 0) | ~ $i(v1)
% 51.17/7.51 | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] : (sdtlseqdt0(v1,
% 51.17/7.51 v0) = v4 & aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v4
% 51.17/7.51 = 0) | ~ (v3 = 0) | ~ (v2 = 0))))
% 51.17/7.51
% 51.17/7.51 (mMulAsso)
% 51.17/7.51 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 51.17/7.51 (sdtasdt0(v3, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1)
% 51.17/7.51 | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: $i] : ?
% 51.17/7.51 [v9: $i] : (sdtasdt0(v1, v2) = v8 & sdtasdt0(v0, v8) = v9 &
% 51.17/7.51 aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0)
% 51.17/7.51 = v5 & $i(v9) & $i(v8) & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 =
% 51.17/7.51 v4)))
% 51.17/7.51
% 51.17/7.51 (mMulComm)
% 51.17/7.52 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) | ~
% 51.17/7.52 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] :
% 51.17/7.52 (sdtasdt0(v1, v0) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3
% 51.17/7.52 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2)))
% 51.17/7.52
% 51.17/7.52 (mPrimDiv)
% 51.17/7.52 $i(sz10) & $i(sz00) & ! [v0: $i] : (v0 = sz10 | v0 = sz00 | ~
% 51.17/7.52 (aNaturalNumber0(v0) = 0) | ~ $i(v0) | ? [v1: $i] : (isPrime0(v1) = 0 &
% 51.17/7.52 doDivides0(v1, v0) = 0 & aNaturalNumber0(v1) = 0 & $i(v1)))
% 51.17/7.52
% 51.17/7.52 (mSortsB)
% 51.17/7.52 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtpldt0(v0, v1) = v2) | ~
% 51.17/7.52 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 51.17/7.52 (aNaturalNumber0(v2) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) =
% 51.17/7.52 v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 51.17/7.52
% 51.17/7.52 (mSortsB_02)
% 51.17/7.52 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) | ~
% 51.17/7.52 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 51.17/7.52 (aNaturalNumber0(v2) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) =
% 51.17/7.52 v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 51.17/7.52
% 51.17/7.52 (m__)
% 51.17/7.52 $i(xr) & $i(xk) & $i(xp) & $i(xm) & $i(xn) & ? [v0: $i] : ? [v1: $i] : ?
% 51.17/7.52 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 51.17/7.52 (sdtsldt0(v4, xr) = v5 & sdtsldt0(xn, xr) = v0 & sdtasdt0(v5, xr) = v6 &
% 51.17/7.52 sdtasdt0(v1, xr) = v2 & sdtasdt0(v0, xm) = v1 & sdtasdt0(xp, xk) = v4 &
% 51.17/7.52 sdtasdt0(xn, xm) = v3 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1)
% 51.17/7.52 & $i(v0) & ( ~ (v6 = v2) | ~ (v3 = v2)))
% 51.17/7.52
% 51.17/7.52 (m__1799)
% 51.17/7.52 $i(xp) & $i(xm) & $i(xn) & ? [v0: $i] : ? [v1: $i] : (sdtpldt0(v0, xp) = v1
% 51.17/7.52 & sdtpldt0(xn, xm) = v0 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : !
% 51.17/7.52 [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ (sdtpldt0(v5, v4) = v6) | ~
% 51.17/7.52 (sdtpldt0(v2, v3) = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ? [v7: any]
% 51.17/7.52 : ? [v8: any] : ? [v9: any] : ? [v10: any] : ? [v11: $i] : ? [v12:
% 51.17/7.52 any] : ? [v13: any] : ? [v14: any] : ? [v15: any] : (isPrime0(v4) =
% 51.17/7.52 v10 & doDivides0(v4, v11) = v12 & doDivides0(v4, v3) = v15 &
% 51.17/7.52 doDivides0(v4, v2) = v14 & iLess0(v6, v1) = v13 & sdtasdt0(v2, v3) = v11
% 51.17/7.52 & aNaturalNumber0(v4) = v9 & aNaturalNumber0(v3) = v8 &
% 51.17/7.52 aNaturalNumber0(v2) = v7 & $i(v11) & ( ~ (v13 = 0) | ~ (v12 = 0) | ~
% 51.17/7.52 (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v15 = 0 | v14 =
% 51.17/7.52 0))))
% 51.17/7.52
% 51.17/7.52 (m__1837)
% 51.17/7.53 aNaturalNumber0(xp) = 0 & aNaturalNumber0(xm) = 0 & aNaturalNumber0(xn) = 0 &
% 51.17/7.53 $i(xp) & $i(xm) & $i(xn)
% 51.17/7.53
% 51.17/7.53 (m__1860)
% 51.17/7.53 $i(xp) & $i(xm) & $i(xn) & ? [v0: $i] : (isPrime0(xp) = 0 & doDivides0(xp,
% 51.17/7.53 v0) = 0 & sdtasdt0(xn, xm) = v0 & $i(v0))
% 51.17/7.53
% 51.17/7.53 (m__2287)
% 51.17/7.53 ~ (xp = xm) & ~ (xp = xn) & sdtlseqdt0(xm, xp) = 0 & sdtlseqdt0(xn, xp) = 0
% 51.17/7.53 & $i(xp) & $i(xm) & $i(xn)
% 51.17/7.53
% 51.17/7.53 (m__2306)
% 51.17/7.53 $i(xk) & $i(xp) & $i(xm) & $i(xn) & ? [v0: $i] : (sdtsldt0(v0, xp) = xk &
% 51.17/7.53 sdtasdt0(xn, xm) = v0 & $i(v0))
% 51.17/7.53
% 51.17/7.53 (m__2315)
% 51.17/7.53 ~ (xk = sz10) & ~ (xk = sz00) & $i(xk) & $i(sz10) & $i(sz00)
% 51.17/7.53
% 51.17/7.53 (m__2327)
% 51.17/7.53 ~ (xk = sz10) & ~ (xk = sz00) & $i(xk) & $i(sz10) & $i(sz00)
% 51.17/7.53
% 51.17/7.53 (m__2342)
% 51.17/7.53 isPrime0(xr) = 0 & doDivides0(xr, xk) = 0 & aNaturalNumber0(xr) = 0 & $i(xr) &
% 51.17/7.53 $i(xk)
% 51.17/7.53
% 51.17/7.53 (m__2362)
% 51.17/7.53 $i(xr) & $i(xk) & $i(xm) & $i(xn) & ? [v0: $i] : (doDivides0(xr, v0) = 0 &
% 51.17/7.53 sdtlseqdt0(xr, xk) = 0 & sdtasdt0(xn, xm) = v0 & $i(v0))
% 51.17/7.53
% 51.17/7.53 (m__2377)
% 51.17/7.53 ~ (xk = xp) & sdtlseqdt0(xk, xp) = 0 & $i(xk) & $i(xp)
% 51.17/7.53
% 51.17/7.53 (m__2449)
% 51.33/7.53 $i(xr) & $i(xm) & $i(xn) & ? [v0: any] : ? [v1: any] : (doDivides0(xr, xm) =
% 51.33/7.53 v1 & doDivides0(xr, xn) = v0 & (v1 = 0 | v0 = 0))
% 51.33/7.53
% 51.33/7.53 (m__2487)
% 51.33/7.53 doDivides0(xr, xn) = 0 & $i(xr) & $i(xn)
% 51.33/7.53
% 51.33/7.53 (m__2504)
% 51.33/7.53 $i(xr) & $i(xn) & ? [v0: $i] : ( ~ (v0 = xn) & sdtsldt0(xn, xr) = v0 &
% 51.33/7.53 sdtlseqdt0(v0, xn) = 0 & $i(v0))
% 51.33/7.53
% 51.33/7.53 (function-axioms)
% 51.33/7.54 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 51.33/7.54 (sdtsldt0(v3, v2) = v1) | ~ (sdtsldt0(v3, v2) = v0)) & ! [v0:
% 51.33/7.54 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 51.33/7.54 : (v1 = v0 | ~ (doDivides0(v3, v2) = v1) | ~ (doDivides0(v3, v2) = v0)) & !
% 51.33/7.54 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 51.33/7.54 $i] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0)) & !
% 51.33/7.54 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 51.33/7.54 (sdtmndt0(v3, v2) = v1) | ~ (sdtmndt0(v3, v2) = v0)) & ! [v0:
% 51.33/7.54 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 51.33/7.54 : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~ (sdtlseqdt0(v3, v2) = v0)) & !
% 51.33/7.54 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 51.33/7.54 (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0)) & ! [v0: $i] : !
% 51.33/7.54 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) |
% 51.33/7.54 ~ (sdtpldt0(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 51.33/7.54 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (isPrime0(v2) = v1) | ~
% 51.33/7.54 (isPrime0(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 51.33/7.54 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1)
% 51.33/7.54 | ~ (aNaturalNumber0(v2) = v0))
% 51.33/7.54
% 51.33/7.54 Further assumptions not needed in the proof:
% 51.33/7.54 --------------------------------------------
% 51.33/7.54 mAMDistr, mAddCanc, mDefDiff, mDivSum, mDivTrans, mIH, mIH_03, mLENTr, mLERefl,
% 51.33/7.54 mLETotal, mLETran, mMonAdd, mMonMul, mMonMul2, mMulCanc, mNatSort, mSortsC,
% 51.33/7.54 mSortsC_01, mZeroAdd, mZeroMul, m_AddZero, m_MulUnit, m_MulZero, m__1870,
% 51.33/7.54 m__2075
% 51.33/7.54
% 51.33/7.54 Those formulas are unsatisfiable:
% 51.33/7.54 ---------------------------------
% 51.33/7.54
% 51.33/7.54 Begin of proof
% 51.33/7.54 |
% 51.33/7.54 | ALPHA: (mDefQuot) implies:
% 51.33/7.54 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v0 = sz00 | ~ (sdtsldt0(v1,
% 51.33/7.54 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 51.33/7.54 | ? [v5: any] : (doDivides0(v0, v1) = v5 & aNaturalNumber0(v1) = v4 &
% 51.33/7.54 | aNaturalNumber0(v0) = v3 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 =
% 51.33/7.54 | 0))) | ( ! [v3: $i] : (v3 = v2 | ~ (sdtasdt0(v0, v3) = v1) |
% 51.33/7.54 | ~ $i(v3) | ? [v4: int] : ( ~ (v4 = 0) & aNaturalNumber0(v3) =
% 51.33/7.54 | v4)) & ! [v3: $i] : ( ~ (sdtasdt0(v0, v2) = v3) | ~ $i(v2) |
% 51.33/7.54 | (v3 = v1 & aNaturalNumber0(v2) = 0))))
% 51.33/7.54 |
% 51.33/7.54 | ALPHA: (mDivLE) implies:
% 51.33/7.54 | (2) ! [v0: $i] : ! [v1: $i] : (v1 = sz00 | ~ (doDivides0(v0, v1) = 0) |
% 51.33/7.54 | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] :
% 51.33/7.54 | (sdtlseqdt0(v0, v1) = v4 & aNaturalNumber0(v1) = v3 &
% 51.33/7.54 | aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | v4 = 0)))
% 51.33/7.54 |
% 51.33/7.54 | ALPHA: (mDivAsso) implies:
% 51.33/7.55 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v0 = sz00 | ~ (sdtsldt0(v1,
% 51.33/7.55 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 51.33/7.55 | ? [v5: any] : (doDivides0(v0, v1) = v5 & aNaturalNumber0(v1) = v4 &
% 51.33/7.55 | aNaturalNumber0(v0) = v3 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 =
% 51.33/7.55 | 0))) | ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 51.33/7.55 | (sdtsldt0(v4, v0) = v5) | ~ (sdtasdt0(v3, v1) = v4) | ~ $i(v3) |
% 51.33/7.55 | ? [v6: any] : ? [v7: $i] : (sdtasdt0(v3, v2) = v7 &
% 51.33/7.55 | aNaturalNumber0(v3) = v6 & $i(v7) & ( ~ (v6 = 0) | v7 = v5))))
% 51.33/7.55 |
% 51.33/7.55 | ALPHA: (mDefPrime) implies:
% 51.33/7.55 | (4) ! [v0: $i] : ! [v1: any] : ( ~ (isPrime0(v0) = v1) | ~ $i(v0) | ?
% 51.33/7.55 | [v2: int] : ( ~ (v2 = 0) & aNaturalNumber0(v0) = v2) | (( ~ (v1 = 0)
% 51.33/7.55 | | ( ~ (v0 = sz10) & ~ (v0 = sz00) & ! [v2: $i] : (v2 = v0 | v2
% 51.33/7.55 | = sz10 | ~ (doDivides0(v2, v0) = 0) | ~ $i(v2) | ? [v3:
% 51.33/7.55 | int] : ( ~ (v3 = 0) & aNaturalNumber0(v2) = v3)))) & (v1 =
% 51.33/7.55 | 0 | v0 = sz10 | v0 = sz00 | ? [v2: $i] : ( ~ (v2 = v0) & ~ (v2
% 51.33/7.55 | = sz10) & doDivides0(v2, v0) = 0 & aNaturalNumber0(v2) = 0 &
% 51.33/7.55 | $i(v2)))))
% 51.33/7.55 |
% 51.33/7.55 | ALPHA: (mPrimDiv) implies:
% 51.33/7.55 | (5) ! [v0: $i] : (v0 = sz10 | v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) |
% 51.33/7.55 | ~ $i(v0) | ? [v1: $i] : (isPrime0(v1) = 0 & doDivides0(v1, v0) = 0 &
% 51.33/7.55 | aNaturalNumber0(v1) = 0 & $i(v1)))
% 51.33/7.55 |
% 51.33/7.55 | ALPHA: (m__1837) implies:
% 51.33/7.55 | (6) aNaturalNumber0(xn) = 0
% 51.33/7.55 | (7) aNaturalNumber0(xm) = 0
% 51.33/7.55 | (8) aNaturalNumber0(xp) = 0
% 51.33/7.55 |
% 51.33/7.55 | ALPHA: (m__1799) implies:
% 51.33/7.55 | (9) ? [v0: $i] : ? [v1: $i] : (sdtpldt0(v0, xp) = v1 & sdtpldt0(xn, xm) =
% 51.33/7.55 | v0 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 51.33/7.55 | [v5: $i] : ! [v6: $i] : ( ~ (sdtpldt0(v5, v4) = v6) | ~
% 51.33/7.55 | (sdtpldt0(v2, v3) = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ?
% 51.33/7.55 | [v7: any] : ? [v8: any] : ? [v9: any] : ? [v10: any] : ? [v11:
% 51.33/7.55 | $i] : ? [v12: any] : ? [v13: any] : ? [v14: any] : ? [v15:
% 51.33/7.55 | any] : (isPrime0(v4) = v10 & doDivides0(v4, v11) = v12 &
% 51.33/7.55 | doDivides0(v4, v3) = v15 & doDivides0(v4, v2) = v14 & iLess0(v6,
% 51.33/7.55 | v1) = v13 & sdtasdt0(v2, v3) = v11 & aNaturalNumber0(v4) = v9 &
% 51.33/7.55 | aNaturalNumber0(v3) = v8 & aNaturalNumber0(v2) = v7 & $i(v11) & (
% 51.33/7.55 | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~
% 51.33/7.55 | (v8 = 0) | ~ (v7 = 0) | v15 = 0 | v14 = 0))))
% 51.33/7.55 |
% 51.33/7.55 | ALPHA: (m__1860) implies:
% 51.33/7.55 | (10) ? [v0: $i] : (isPrime0(xp) = 0 & doDivides0(xp, v0) = 0 &
% 51.33/7.55 | sdtasdt0(xn, xm) = v0 & $i(v0))
% 51.33/7.55 |
% 51.33/7.55 | ALPHA: (m__2287) implies:
% 51.33/7.55 | (11) sdtlseqdt0(xm, xp) = 0
% 51.33/7.55 |
% 51.33/7.55 | ALPHA: (m__2306) implies:
% 51.33/7.56 | (12) ? [v0: $i] : (sdtsldt0(v0, xp) = xk & sdtasdt0(xn, xm) = v0 & $i(v0))
% 51.33/7.56 |
% 51.33/7.56 | ALPHA: (m__2327) implies:
% 51.33/7.56 | (13) ~ (xk = sz00)
% 51.33/7.56 | (14) ~ (xk = sz10)
% 51.33/7.56 |
% 51.33/7.56 | ALPHA: (m__2342) implies:
% 51.33/7.56 | (15) aNaturalNumber0(xr) = 0
% 51.33/7.56 | (16) doDivides0(xr, xk) = 0
% 51.33/7.56 | (17) isPrime0(xr) = 0
% 51.33/7.56 |
% 51.33/7.56 | ALPHA: (m__2362) implies:
% 51.33/7.56 | (18) ? [v0: $i] : (doDivides0(xr, v0) = 0 & sdtlseqdt0(xr, xk) = 0 &
% 51.33/7.56 | sdtasdt0(xn, xm) = v0 & $i(v0))
% 51.33/7.56 |
% 51.33/7.56 | ALPHA: (m__2377) implies:
% 51.33/7.56 | (19) ~ (xk = xp)
% 51.33/7.56 | (20) sdtlseqdt0(xk, xp) = 0
% 51.33/7.56 |
% 51.33/7.56 | ALPHA: (m__2449) implies:
% 51.33/7.56 | (21) ? [v0: any] : ? [v1: any] : (doDivides0(xr, xm) = v1 &
% 51.33/7.56 | doDivides0(xr, xn) = v0 & (v1 = 0 | v0 = 0))
% 51.33/7.56 |
% 51.33/7.56 | ALPHA: (m__2487) implies:
% 51.33/7.56 | (22) doDivides0(xr, xn) = 0
% 51.33/7.56 |
% 51.33/7.56 | ALPHA: (m__2504) implies:
% 51.33/7.56 | (23) ? [v0: $i] : ( ~ (v0 = xn) & sdtsldt0(xn, xr) = v0 & sdtlseqdt0(v0,
% 51.33/7.56 | xn) = 0 & $i(v0))
% 51.33/7.56 |
% 51.33/7.56 | ALPHA: (m__) implies:
% 51.33/7.56 | (24) $i(xn)
% 51.33/7.56 | (25) $i(xm)
% 51.33/7.56 | (26) $i(xp)
% 51.33/7.56 | (27) $i(xk)
% 51.33/7.56 | (28) $i(xr)
% 51.33/7.56 | (29) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 51.33/7.56 | ? [v5: $i] : ? [v6: $i] : (sdtsldt0(v4, xr) = v5 & sdtsldt0(xn, xr) =
% 51.33/7.56 | v0 & sdtasdt0(v5, xr) = v6 & sdtasdt0(v1, xr) = v2 & sdtasdt0(v0,
% 51.33/7.56 | xm) = v1 & sdtasdt0(xp, xk) = v4 & sdtasdt0(xn, xm) = v3 & $i(v6)
% 51.33/7.56 | & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v6 =
% 51.33/7.56 | v2) | ~ (v3 = v2)))
% 51.33/7.56 |
% 51.33/7.56 | ALPHA: (function-axioms) implies:
% 51.33/7.56 | (30) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 51.33/7.56 | : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) =
% 51.33/7.56 | v0))
% 51.33/7.56 | (31) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 51.33/7.56 | (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0))
% 51.33/7.56 | (32) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 51.33/7.56 | : ! [v3: $i] : (v1 = v0 | ~ (doDivides0(v3, v2) = v1) | ~
% 51.33/7.56 | (doDivides0(v3, v2) = v0))
% 51.33/7.56 | (33) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 51.33/7.56 | (sdtsldt0(v3, v2) = v1) | ~ (sdtsldt0(v3, v2) = v0))
% 51.33/7.56 |
% 51.33/7.56 | DELTA: instantiating (12) with fresh symbol all_42_0 gives:
% 51.33/7.56 | (34) sdtsldt0(all_42_0, xp) = xk & sdtasdt0(xn, xm) = all_42_0 &
% 51.33/7.56 | $i(all_42_0)
% 51.33/7.56 |
% 51.33/7.56 | ALPHA: (34) implies:
% 51.33/7.57 | (35) sdtasdt0(xn, xm) = all_42_0
% 51.33/7.57 | (36) sdtsldt0(all_42_0, xp) = xk
% 51.33/7.57 |
% 51.33/7.57 | DELTA: instantiating (10) with fresh symbol all_44_0 gives:
% 51.33/7.57 | (37) isPrime0(xp) = 0 & doDivides0(xp, all_44_0) = 0 & sdtasdt0(xn, xm) =
% 51.33/7.57 | all_44_0 & $i(all_44_0)
% 51.33/7.57 |
% 51.33/7.57 | ALPHA: (37) implies:
% 51.33/7.57 | (38) $i(all_44_0)
% 51.33/7.57 | (39) sdtasdt0(xn, xm) = all_44_0
% 51.33/7.57 | (40) doDivides0(xp, all_44_0) = 0
% 51.33/7.57 | (41) isPrime0(xp) = 0
% 51.33/7.57 |
% 51.33/7.57 | DELTA: instantiating (18) with fresh symbol all_46_0 gives:
% 51.33/7.57 | (42) doDivides0(xr, all_46_0) = 0 & sdtlseqdt0(xr, xk) = 0 & sdtasdt0(xn,
% 51.33/7.57 | xm) = all_46_0 & $i(all_46_0)
% 51.33/7.57 |
% 51.33/7.57 | ALPHA: (42) implies:
% 51.33/7.57 | (43) sdtasdt0(xn, xm) = all_46_0
% 51.33/7.57 | (44) sdtlseqdt0(xr, xk) = 0
% 51.33/7.57 | (45) doDivides0(xr, all_46_0) = 0
% 51.33/7.57 |
% 51.33/7.57 | DELTA: instantiating (21) with fresh symbols all_48_0, all_48_1 gives:
% 51.33/7.57 | (46) doDivides0(xr, xm) = all_48_0 & doDivides0(xr, xn) = all_48_1 &
% 51.33/7.57 | (all_48_0 = 0 | all_48_1 = 0)
% 51.33/7.57 |
% 51.33/7.57 | ALPHA: (46) implies:
% 51.33/7.57 | (47) doDivides0(xr, xn) = all_48_1
% 51.33/7.57 |
% 51.33/7.57 | DELTA: instantiating (23) with fresh symbol all_50_0 gives:
% 51.33/7.57 | (48) ~ (all_50_0 = xn) & sdtsldt0(xn, xr) = all_50_0 &
% 51.33/7.57 | sdtlseqdt0(all_50_0, xn) = 0 & $i(all_50_0)
% 51.33/7.57 |
% 51.33/7.57 | ALPHA: (48) implies:
% 51.33/7.57 | (49) ~ (all_50_0 = xn)
% 51.33/7.57 | (50) sdtlseqdt0(all_50_0, xn) = 0
% 51.33/7.57 | (51) sdtsldt0(xn, xr) = all_50_0
% 51.33/7.57 |
% 51.33/7.57 | DELTA: instantiating (29) with fresh symbols all_52_0, all_52_1, all_52_2,
% 51.33/7.57 | all_52_3, all_52_4, all_52_5, all_52_6 gives:
% 51.33/7.57 | (52) sdtsldt0(all_52_2, xr) = all_52_1 & sdtsldt0(xn, xr) = all_52_6 &
% 51.33/7.57 | sdtasdt0(all_52_1, xr) = all_52_0 & sdtasdt0(all_52_5, xr) = all_52_4
% 51.33/7.57 | & sdtasdt0(all_52_6, xm) = all_52_5 & sdtasdt0(xp, xk) = all_52_2 &
% 51.33/7.57 | sdtasdt0(xn, xm) = all_52_3 & $i(all_52_0) & $i(all_52_1) &
% 51.33/7.57 | $i(all_52_2) & $i(all_52_3) & $i(all_52_4) & $i(all_52_5) &
% 51.33/7.57 | $i(all_52_6) & ( ~ (all_52_0 = all_52_4) | ~ (all_52_3 = all_52_4))
% 51.33/7.57 |
% 51.33/7.57 | ALPHA: (52) implies:
% 51.33/7.57 | (53) $i(all_52_6)
% 51.33/7.57 | (54) $i(all_52_5)
% 51.33/7.57 | (55) $i(all_52_2)
% 51.33/7.57 | (56) $i(all_52_1)
% 51.33/7.57 | (57) sdtasdt0(xn, xm) = all_52_3
% 51.33/7.57 | (58) sdtasdt0(xp, xk) = all_52_2
% 51.33/7.58 | (59) sdtasdt0(all_52_6, xm) = all_52_5
% 51.33/7.58 | (60) sdtasdt0(all_52_5, xr) = all_52_4
% 51.33/7.58 | (61) sdtasdt0(all_52_1, xr) = all_52_0
% 51.33/7.58 | (62) sdtsldt0(xn, xr) = all_52_6
% 51.33/7.58 | (63) sdtsldt0(all_52_2, xr) = all_52_1
% 51.33/7.58 | (64) ~ (all_52_0 = all_52_4) | ~ (all_52_3 = all_52_4)
% 51.33/7.58 |
% 51.33/7.58 | DELTA: instantiating (9) with fresh symbols all_54_0, all_54_1 gives:
% 51.33/7.58 | (65) sdtpldt0(all_54_1, xp) = all_54_0 & sdtpldt0(xn, xm) = all_54_1 &
% 51.33/7.58 | $i(all_54_0) & $i(all_54_1) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 51.33/7.58 | : ! [v3: $i] : ! [v4: $i] : ( ~ (sdtpldt0(v3, v2) = v4) | ~
% 51.33/7.58 | (sdtpldt0(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 51.33/7.58 | [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: $i]
% 51.33/7.58 | : ? [v10: any] : ? [v11: any] : ? [v12: any] : ? [v13: any] :
% 51.33/7.58 | (isPrime0(v2) = v8 & doDivides0(v2, v9) = v10 & doDivides0(v2, v1) =
% 51.33/7.58 | v13 & doDivides0(v2, v0) = v12 & iLess0(v4, all_54_0) = v11 &
% 51.33/7.58 | sdtasdt0(v0, v1) = v9 & aNaturalNumber0(v2) = v7 &
% 51.33/7.58 | aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0) = v5 & $i(v9) & ( ~
% 51.33/7.58 | (v11 = 0) | ~ (v10 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 =
% 51.33/7.58 | 0) | ~ (v5 = 0) | v13 = 0 | v12 = 0)))
% 51.33/7.58 |
% 51.33/7.58 | ALPHA: (65) implies:
% 51.33/7.58 | (66) $i(all_54_1)
% 51.33/7.58 | (67) sdtpldt0(xn, xm) = all_54_1
% 51.33/7.58 | (68) sdtpldt0(all_54_1, xp) = all_54_0
% 51.33/7.58 | (69) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 51.33/7.58 | ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ $i(v2) |
% 51.33/7.58 | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 51.33/7.58 | ? [v8: any] : ? [v9: $i] : ? [v10: any] : ? [v11: any] : ?
% 51.33/7.58 | [v12: any] : ? [v13: any] : (isPrime0(v2) = v8 & doDivides0(v2, v9)
% 51.33/7.58 | = v10 & doDivides0(v2, v1) = v13 & doDivides0(v2, v0) = v12 &
% 51.33/7.58 | iLess0(v4, all_54_0) = v11 & sdtasdt0(v0, v1) = v9 &
% 51.33/7.58 | aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 &
% 51.33/7.58 | aNaturalNumber0(v0) = v5 & $i(v9) & ( ~ (v11 = 0) | ~ (v10 = 0) |
% 51.33/7.58 | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v13 = 0
% 51.33/7.58 | | v12 = 0)))
% 51.33/7.58 |
% 51.33/7.58 | GROUND_INST: instantiating (31) with all_46_0, all_52_3, xm, xn, simplifying
% 51.33/7.58 | with (43), (57) gives:
% 51.33/7.58 | (70) all_52_3 = all_46_0
% 51.33/7.58 |
% 51.33/7.58 | GROUND_INST: instantiating (31) with all_44_0, all_52_3, xm, xn, simplifying
% 51.33/7.58 | with (39), (57) gives:
% 51.33/7.58 | (71) all_52_3 = all_44_0
% 51.33/7.58 |
% 51.33/7.58 | GROUND_INST: instantiating (31) with all_42_0, all_52_3, xm, xn, simplifying
% 51.33/7.58 | with (35), (57) gives:
% 51.33/7.58 | (72) all_52_3 = all_42_0
% 51.33/7.58 |
% 51.33/7.58 | GROUND_INST: instantiating (32) with 0, all_48_1, xn, xr, simplifying with
% 51.33/7.58 | (22), (47) gives:
% 51.33/7.58 | (73) all_48_1 = 0
% 51.33/7.58 |
% 51.33/7.58 | GROUND_INST: instantiating (33) with all_50_0, all_52_6, xr, xn, simplifying
% 51.33/7.58 | with (51), (62) gives:
% 51.33/7.58 | (74) all_52_6 = all_50_0
% 51.33/7.58 |
% 51.33/7.58 | COMBINE_EQS: (70), (71) imply:
% 51.33/7.58 | (75) all_46_0 = all_44_0
% 51.33/7.58 |
% 51.33/7.58 | COMBINE_EQS: (70), (72) imply:
% 51.33/7.58 | (76) all_46_0 = all_42_0
% 51.33/7.58 |
% 51.33/7.58 | COMBINE_EQS: (75), (76) imply:
% 51.33/7.58 | (77) all_44_0 = all_42_0
% 51.33/7.58 |
% 51.33/7.58 | REDUCE: (45), (76) imply:
% 51.33/7.59 | (78) doDivides0(xr, all_42_0) = 0
% 51.33/7.59 |
% 51.33/7.59 | REDUCE: (40), (77) imply:
% 51.33/7.59 | (79) doDivides0(xp, all_42_0) = 0
% 51.33/7.59 |
% 51.33/7.59 | REDUCE: (59), (74) imply:
% 51.33/7.59 | (80) sdtasdt0(all_50_0, xm) = all_52_5
% 51.33/7.59 |
% 51.33/7.59 | REDUCE: (53), (74) imply:
% 51.33/7.59 | (81) $i(all_50_0)
% 51.33/7.59 |
% 51.33/7.59 | REDUCE: (38), (77) imply:
% 51.33/7.59 | (82) $i(all_42_0)
% 51.33/7.59 |
% 51.33/7.59 | GROUND_INST: instantiating (5) with xp, simplifying with (8), (26) gives:
% 51.33/7.59 | (83) xp = sz10 | xp = sz00 | ? [v0: $i] : (isPrime0(v0) = 0 &
% 51.33/7.59 | doDivides0(v0, xp) = 0 & aNaturalNumber0(v0) = 0 & $i(v0))
% 51.33/7.59 |
% 51.33/7.59 | GROUND_INST: instantiating (5) with xr, simplifying with (15), (28) gives:
% 51.33/7.59 | (84) xr = sz10 | xr = sz00 | ? [v0: $i] : (isPrime0(v0) = 0 &
% 51.33/7.59 | doDivides0(v0, xr) = 0 & aNaturalNumber0(v0) = 0 & $i(v0))
% 51.33/7.59 |
% 51.33/7.59 | GROUND_INST: instantiating (mAddComm) with xn, xm, all_54_1, simplifying with
% 51.33/7.59 | (24), (25), (67) gives:
% 51.33/7.59 | (85) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtpldt0(xm, xn) = v2 &
% 51.33/7.59 | aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & $i(v2) & ( ~
% 51.33/7.59 | (v1 = 0) | ~ (v0 = 0) | v2 = all_54_1))
% 51.33/7.59 |
% 51.33/7.59 | GROUND_INST: instantiating (mSortsB) with xn, xm, all_54_1, simplifying with
% 51.33/7.59 | (24), (25), (67) gives:
% 51.33/7.59 | (86) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 51.33/7.59 | (aNaturalNumber0(all_54_1) = v2 & aNaturalNumber0(xm) = v1 &
% 51.33/7.59 | aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 51.33/7.59 |
% 51.33/7.59 | GROUND_INST: instantiating (69) with xn, xm, xp, all_54_1, all_54_0,
% 51.33/7.59 | simplifying with (24), (25), (26), (67), (68) gives:
% 51.33/7.59 | (87) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4:
% 51.33/7.59 | $i] : ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 51.33/7.59 | (isPrime0(xp) = v3 & doDivides0(xp, v4) = v5 & doDivides0(xp, xm) = v8
% 51.33/7.59 | & doDivides0(xp, xn) = v7 & iLess0(all_54_0, all_54_0) = v6 &
% 51.33/7.59 | sdtasdt0(xn, xm) = v4 & aNaturalNumber0(xp) = v2 &
% 51.33/7.59 | aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & $i(v4) & ( ~
% 51.33/7.59 | (v6 = 0) | ~ (v5 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) |
% 51.33/7.59 | ~ (v0 = 0) | v8 = 0 | v7 = 0))
% 51.33/7.59 |
% 51.33/7.59 | GROUND_INST: instantiating (mAddAsso) with xn, xm, xp, all_54_1, all_54_0,
% 51.33/7.59 | simplifying with (24), (25), (26), (67), (68) gives:
% 51.33/7.59 | (88) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4: $i]
% 51.33/7.59 | : (sdtpldt0(xm, xp) = v3 & sdtpldt0(xn, v3) = v4 & aNaturalNumber0(xp)
% 51.33/7.59 | = v2 & aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & $i(v4)
% 51.33/7.59 | & $i(v3) & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 =
% 51.33/7.59 | all_54_0))
% 51.33/7.59 |
% 51.33/7.59 | GROUND_INST: instantiating (mAddComm) with all_54_1, xp, all_54_0, simplifying
% 51.33/7.59 | with (26), (66), (68) gives:
% 51.33/7.59 | (89) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtpldt0(xp, all_54_1) =
% 51.33/7.59 | v2 & aNaturalNumber0(all_54_1) = v0 & aNaturalNumber0(xp) = v1 &
% 51.33/7.59 | $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_54_0))
% 51.33/7.59 |
% 51.33/7.59 | GROUND_INST: instantiating (mSortsB) with all_54_1, xp, all_54_0, simplifying
% 51.33/7.59 | with (26), (66), (68) gives:
% 51.33/7.59 | (90) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 51.33/7.59 | (aNaturalNumber0(all_54_0) = v2 & aNaturalNumber0(all_54_1) = v0 &
% 51.33/7.59 | aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 51.33/7.59 |
% 51.33/7.59 | GROUND_INST: instantiating (mMulComm) with xn, xm, all_42_0, simplifying with
% 51.33/7.59 | (24), (25), (35) gives:
% 51.33/7.59 | (91) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtasdt0(xm, xn) = v2 &
% 51.33/7.59 | aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & $i(v2) & ( ~
% 51.33/7.59 | (v1 = 0) | ~ (v0 = 0) | v2 = all_42_0))
% 51.33/7.59 |
% 51.33/7.59 | GROUND_INST: instantiating (mSortsB_02) with xn, xm, all_42_0, simplifying
% 51.33/7.59 | with (24), (25), (35) gives:
% 51.33/7.60 | (92) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 51.33/7.60 | (aNaturalNumber0(all_42_0) = v2 & aNaturalNumber0(xm) = v1 &
% 51.33/7.60 | aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 51.33/7.60 |
% 51.33/7.60 | GROUND_INST: instantiating (mMulComm) with xp, xk, all_52_2, simplifying with
% 51.33/7.60 | (26), (27), (58) gives:
% 51.33/7.60 | (93) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtasdt0(xk, xp) = v2 &
% 51.33/7.60 | aNaturalNumber0(xk) = v1 & aNaturalNumber0(xp) = v0 & $i(v2) & ( ~
% 51.33/7.60 | (v1 = 0) | ~ (v0 = 0) | v2 = all_52_2))
% 51.33/7.60 |
% 51.33/7.60 | GROUND_INST: instantiating (mSortsB_02) with xp, xk, all_52_2, simplifying
% 51.33/7.60 | with (26), (27), (58) gives:
% 51.33/7.60 | (94) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 51.33/7.60 | (aNaturalNumber0(all_52_2) = v2 & aNaturalNumber0(xk) = v1 &
% 51.33/7.60 | aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 51.33/7.60 |
% 51.33/7.60 | GROUND_INST: instantiating (mMulComm) with all_50_0, xm, all_52_5, simplifying
% 51.33/7.60 | with (25), (80), (81) gives:
% 51.33/7.60 | (95) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtasdt0(xm, all_50_0) =
% 51.33/7.60 | v2 & aNaturalNumber0(all_50_0) = v0 & aNaturalNumber0(xm) = v1 &
% 51.33/7.60 | $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_52_5))
% 51.33/7.60 |
% 51.33/7.60 | GROUND_INST: instantiating (mSortsB_02) with all_50_0, xm, all_52_5,
% 51.33/7.60 | simplifying with (25), (80), (81) gives:
% 51.33/7.60 | (96) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 51.33/7.60 | (aNaturalNumber0(all_52_5) = v2 & aNaturalNumber0(all_50_0) = v0 &
% 51.33/7.60 | aNaturalNumber0(xm) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 51.33/7.60 |
% 51.33/7.60 | GROUND_INST: instantiating (mMulAsso) with all_50_0, xm, xr, all_52_5,
% 51.33/7.60 | all_52_4, simplifying with (25), (28), (60), (80), (81) gives:
% 51.33/7.60 | (97) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4: $i]
% 51.33/7.60 | : (sdtasdt0(all_50_0, v3) = v4 & sdtasdt0(xm, xr) = v3 &
% 51.33/7.60 | aNaturalNumber0(all_50_0) = v0 & aNaturalNumber0(xr) = v2 &
% 51.33/7.60 | aNaturalNumber0(xm) = v1 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 =
% 51.33/7.60 | 0) | ~ (v0 = 0) | v4 = all_52_4))
% 51.33/7.60 |
% 51.33/7.60 | GROUND_INST: instantiating (mMulComm) with all_52_5, xr, all_52_4, simplifying
% 51.33/7.60 | with (28), (54), (60) gives:
% 51.33/7.60 | (98) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtasdt0(xr, all_52_5) =
% 51.33/7.60 | v2 & aNaturalNumber0(all_52_5) = v0 & aNaturalNumber0(xr) = v1 &
% 51.33/7.60 | $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_52_4))
% 51.33/7.60 |
% 51.33/7.60 | GROUND_INST: instantiating (mSortsB_02) with all_52_5, xr, all_52_4,
% 51.33/7.60 | simplifying with (28), (54), (60) gives:
% 51.33/7.60 | (99) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 51.33/7.60 | (aNaturalNumber0(all_52_4) = v2 & aNaturalNumber0(all_52_5) = v0 &
% 51.33/7.60 | aNaturalNumber0(xr) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 51.33/7.60 |
% 51.33/7.60 | GROUND_INST: instantiating (mMulComm) with all_52_1, xr, all_52_0, simplifying
% 51.33/7.60 | with (28), (56), (61) gives:
% 51.33/7.60 | (100) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtasdt0(xr, all_52_1) =
% 51.33/7.60 | v2 & aNaturalNumber0(all_52_1) = v0 & aNaturalNumber0(xr) = v1 &
% 51.33/7.60 | $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_52_0))
% 51.33/7.60 |
% 51.33/7.60 | GROUND_INST: instantiating (mSortsB_02) with all_52_1, xr, all_52_0,
% 51.33/7.60 | simplifying with (28), (56), (61) gives:
% 51.33/7.60 | (101) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 51.33/7.60 | (aNaturalNumber0(all_52_0) = v2 & aNaturalNumber0(all_52_1) = v0 &
% 51.33/7.60 | aNaturalNumber0(xr) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 51.33/7.60 |
% 51.33/7.60 | GROUND_INST: instantiating (mDefLE) with xm, xp, 0, simplifying with (11),
% 51.33/7.60 | (25), (26) gives:
% 51.33/7.60 | (102) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xp) = v1 &
% 51.33/7.60 | aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | ? [v0:
% 51.33/7.60 | $i] : (sdtpldt0(xm, v0) = xp & aNaturalNumber0(v0) = 0 & $i(v0))
% 51.33/7.60 |
% 51.33/7.60 | GROUND_INST: instantiating (mLEAsym) with xk, xp, simplifying with (20), (26),
% 51.33/7.60 | (27) gives:
% 51.33/7.60 | (103) xk = xp | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 51.33/7.60 | (sdtlseqdt0(xp, xk) = v2 & aNaturalNumber0(xk) = v0 &
% 51.33/7.60 | aNaturalNumber0(xp) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 =
% 51.33/7.60 | 0)))
% 51.33/7.60 |
% 51.33/7.60 | GROUND_INST: instantiating (mDefLE) with xk, xp, 0, simplifying with (20),
% 51.33/7.60 | (26), (27) gives:
% 51.33/7.61 | (104) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xk) = v0 &
% 51.33/7.61 | aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))) | ? [v0:
% 51.33/7.61 | $i] : (sdtpldt0(xk, v0) = xp & aNaturalNumber0(v0) = 0 & $i(v0))
% 51.33/7.61 |
% 51.33/7.61 | GROUND_INST: instantiating (mDefLE) with xr, xk, 0, simplifying with (27),
% 51.33/7.61 | (28), (44) gives:
% 51.33/7.61 | (105) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xr) = v0 &
% 51.33/7.61 | aNaturalNumber0(xk) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))) | ? [v0:
% 51.33/7.61 | $i] : (sdtpldt0(xr, v0) = xk & aNaturalNumber0(v0) = 0 & $i(v0))
% 51.33/7.61 |
% 51.33/7.61 | GROUND_INST: instantiating (mLEAsym) with all_50_0, xn, simplifying with (24),
% 51.33/7.61 | (50), (81) gives:
% 52.01/7.61 | (106) all_50_0 = xn | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 52.01/7.61 | (sdtlseqdt0(xn, all_50_0) = v2 & aNaturalNumber0(all_50_0) = v0 &
% 52.01/7.61 | aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 =
% 52.01/7.61 | 0)))
% 52.01/7.61 |
% 52.01/7.61 | GROUND_INST: instantiating (mDefDiv) with xr, xn, 0, simplifying with (22),
% 52.01/7.61 | (24), (28) gives:
% 52.01/7.61 | (107) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xr) = v0 &
% 52.01/7.61 | aNaturalNumber0(xn) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))) | ? [v0:
% 52.01/7.61 | $i] : (sdtasdt0(xr, v0) = xn & aNaturalNumber0(v0) = 0 & $i(v0))
% 52.01/7.61 |
% 52.01/7.61 | GROUND_INST: instantiating (mDefDiv) with xr, xk, 0, simplifying with (16),
% 52.01/7.61 | (27), (28) gives:
% 52.01/7.61 | (108) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xr) = v0 &
% 52.01/7.61 | aNaturalNumber0(xk) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))) | ? [v0:
% 52.01/7.61 | $i] : (sdtasdt0(xr, v0) = xk & aNaturalNumber0(v0) = 0 & $i(v0))
% 52.01/7.61 |
% 52.01/7.61 | GROUND_INST: instantiating (mDefDiv) with xr, all_42_0, 0, simplifying with
% 52.01/7.61 | (28), (78), (82) gives:
% 52.01/7.61 | (109) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(all_42_0) = v1 &
% 52.01/7.61 | aNaturalNumber0(xr) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | ? [v0:
% 52.01/7.61 | $i] : (sdtasdt0(xr, v0) = all_42_0 & aNaturalNumber0(v0) = 0 &
% 52.01/7.61 | $i(v0))
% 52.01/7.61 |
% 52.01/7.61 | GROUND_INST: instantiating (3) with xr, xn, all_50_0, simplifying with (24),
% 52.01/7.61 | (28), (51) gives:
% 52.01/7.61 | (110) xr = sz00 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 52.01/7.61 | (doDivides0(xr, xn) = v2 & aNaturalNumber0(xr) = v0 &
% 52.01/7.61 | aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 =
% 52.01/7.61 | 0))) | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 52.01/7.61 | (sdtsldt0(v1, xr) = v2) | ~ (sdtasdt0(v0, xn) = v1) | ~ $i(v0) |
% 52.01/7.61 | ? [v3: any] : ? [v4: $i] : (sdtasdt0(v0, all_50_0) = v4 &
% 52.01/7.61 | aNaturalNumber0(v0) = v3 & $i(v4) & ( ~ (v3 = 0) | v4 = v2)))
% 52.01/7.61 |
% 52.01/7.61 | GROUND_INST: instantiating (1) with xr, xn, all_50_0, simplifying with (24),
% 52.01/7.61 | (28), (51) gives:
% 52.01/7.61 | (111) xr = sz00 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 52.01/7.61 | (doDivides0(xr, xn) = v2 & aNaturalNumber0(xr) = v0 &
% 52.01/7.61 | aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 =
% 52.01/7.61 | 0))) | ( ! [v0: any] : (v0 = all_50_0 | ~ (sdtasdt0(xr, v0) =
% 52.01/7.61 | xn) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 52.01/7.61 | aNaturalNumber0(v0) = v1)) & ! [v0: $i] : ( ~ (sdtasdt0(xr,
% 52.01/7.61 | all_50_0) = v0) | ~ $i(all_50_0) | (v0 = xn &
% 52.01/7.61 | aNaturalNumber0(all_50_0) = 0)))
% 52.01/7.61 |
% 52.01/7.61 | GROUND_INST: instantiating (1) with xp, all_42_0, xk, simplifying with (26),
% 52.01/7.61 | (36), (82) gives:
% 52.01/7.61 | (112) xp = sz00 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 52.01/7.61 | (doDivides0(xp, all_42_0) = v2 & aNaturalNumber0(all_42_0) = v1 &
% 52.01/7.61 | aNaturalNumber0(xp) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 =
% 52.01/7.61 | 0))) | ( ! [v0: $i] : (v0 = xk | ~ (sdtasdt0(xp, v0) =
% 52.01/7.61 | all_42_0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 52.01/7.61 | aNaturalNumber0(v0) = v1)) & ! [v0: $i] : ( ~ (sdtasdt0(xp,
% 52.01/7.61 | xk) = v0) | ~ $i(xk) | (v0 = all_42_0 & aNaturalNumber0(xk)
% 52.01/7.61 | = 0)))
% 52.01/7.61 |
% 52.01/7.61 | GROUND_INST: instantiating (1) with xr, all_52_2, all_52_1, simplifying with
% 52.01/7.61 | (28), (55), (63) gives:
% 52.01/7.62 | (113) xr = sz00 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 52.01/7.62 | (doDivides0(xr, all_52_2) = v2 & aNaturalNumber0(all_52_2) = v1 &
% 52.01/7.62 | aNaturalNumber0(xr) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 =
% 52.01/7.62 | 0))) | ( ! [v0: any] : (v0 = all_52_1 | ~ (sdtasdt0(xr, v0) =
% 52.01/7.62 | all_52_2) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 52.01/7.62 | aNaturalNumber0(v0) = v1)) & ! [v0: $i] : ( ~ (sdtasdt0(xr,
% 52.01/7.62 | all_52_1) = v0) | ~ $i(all_52_1) | (v0 = all_52_2 &
% 52.01/7.62 | aNaturalNumber0(all_52_1) = 0)))
% 52.01/7.62 |
% 52.01/7.62 | GROUND_INST: instantiating (4) with xp, 0, simplifying with (26), (41) gives:
% 52.01/7.62 | (114) ? [v0: int] : ( ~ (v0 = 0) & aNaturalNumber0(xp) = v0) | ( ~ (xp =
% 52.01/7.62 | sz10) & ~ (xp = sz00) & ! [v0: $i] : (v0 = xp | v0 = sz10 | ~
% 52.01/7.62 | (doDivides0(v0, xp) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 =
% 52.01/7.62 | 0) & aNaturalNumber0(v0) = v1)))
% 52.01/7.62 |
% 52.01/7.62 | GROUND_INST: instantiating (4) with xr, 0, simplifying with (17), (28) gives:
% 52.01/7.62 | (115) ? [v0: int] : ( ~ (v0 = 0) & aNaturalNumber0(xr) = v0) | ( ~ (xr =
% 52.01/7.62 | sz10) & ~ (xr = sz00) & ! [v0: $i] : (v0 = xr | v0 = sz10 | ~
% 52.01/7.62 | (doDivides0(v0, xr) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 =
% 52.01/7.62 | 0) & aNaturalNumber0(v0) = v1)))
% 52.01/7.62 |
% 52.01/7.62 | DELTA: instantiating (101) with fresh symbols all_66_0, all_66_1, all_66_2
% 52.01/7.62 | gives:
% 52.01/7.62 | (116) aNaturalNumber0(all_52_0) = all_66_0 & aNaturalNumber0(all_52_1) =
% 52.01/7.62 | all_66_2 & aNaturalNumber0(xr) = all_66_1 & ( ~ (all_66_1 = 0) | ~
% 52.01/7.62 | (all_66_2 = 0) | all_66_0 = 0)
% 52.01/7.62 |
% 52.01/7.62 | ALPHA: (116) implies:
% 52.01/7.62 | (117) aNaturalNumber0(xr) = all_66_1
% 52.01/7.62 | (118) aNaturalNumber0(all_52_1) = all_66_2
% 52.01/7.62 |
% 52.01/7.62 | DELTA: instantiating (90) with fresh symbols all_68_0, all_68_1, all_68_2
% 52.01/7.62 | gives:
% 52.01/7.62 | (119) aNaturalNumber0(all_54_0) = all_68_0 & aNaturalNumber0(all_54_1) =
% 52.01/7.62 | all_68_2 & aNaturalNumber0(xp) = all_68_1 & ( ~ (all_68_1 = 0) | ~
% 52.01/7.62 | (all_68_2 = 0) | all_68_0 = 0)
% 52.01/7.62 |
% 52.01/7.62 | ALPHA: (119) implies:
% 52.01/7.62 | (120) aNaturalNumber0(xp) = all_68_1
% 52.01/7.62 | (121) aNaturalNumber0(all_54_1) = all_68_2
% 52.01/7.62 | (122) ~ (all_68_1 = 0) | ~ (all_68_2 = 0) | all_68_0 = 0
% 52.01/7.62 |
% 52.01/7.62 | DELTA: instantiating (99) with fresh symbols all_70_0, all_70_1, all_70_2
% 52.01/7.62 | gives:
% 52.01/7.62 | (123) aNaturalNumber0(all_52_4) = all_70_0 & aNaturalNumber0(all_52_5) =
% 52.01/7.62 | all_70_2 & aNaturalNumber0(xr) = all_70_1 & ( ~ (all_70_1 = 0) | ~
% 52.01/7.62 | (all_70_2 = 0) | all_70_0 = 0)
% 52.01/7.62 |
% 52.01/7.62 | ALPHA: (123) implies:
% 52.01/7.62 | (124) aNaturalNumber0(xr) = all_70_1
% 52.01/7.62 |
% 52.01/7.62 | DELTA: instantiating (96) with fresh symbols all_72_0, all_72_1, all_72_2
% 52.01/7.62 | gives:
% 52.01/7.62 | (125) aNaturalNumber0(all_52_5) = all_72_0 & aNaturalNumber0(all_50_0) =
% 52.01/7.62 | all_72_2 & aNaturalNumber0(xm) = all_72_1 & ( ~ (all_72_1 = 0) | ~
% 52.01/7.62 | (all_72_2 = 0) | all_72_0 = 0)
% 52.01/7.62 |
% 52.01/7.62 | ALPHA: (125) implies:
% 52.01/7.62 | (126) aNaturalNumber0(xm) = all_72_1
% 52.01/7.62 | (127) aNaturalNumber0(all_50_0) = all_72_2
% 52.01/7.62 |
% 52.01/7.62 | DELTA: instantiating (94) with fresh symbols all_74_0, all_74_1, all_74_2
% 52.01/7.62 | gives:
% 52.01/7.62 | (128) aNaturalNumber0(all_52_2) = all_74_0 & aNaturalNumber0(xk) = all_74_1
% 52.01/7.62 | & aNaturalNumber0(xp) = all_74_2 & ( ~ (all_74_1 = 0) | ~ (all_74_2
% 52.01/7.62 | = 0) | all_74_0 = 0)
% 52.01/7.62 |
% 52.01/7.62 | ALPHA: (128) implies:
% 52.01/7.62 | (129) aNaturalNumber0(xp) = all_74_2
% 52.01/7.62 | (130) aNaturalNumber0(xk) = all_74_1
% 52.01/7.62 | (131) aNaturalNumber0(all_52_2) = all_74_0
% 52.01/7.62 |
% 52.01/7.62 | DELTA: instantiating (92) with fresh symbols all_76_0, all_76_1, all_76_2
% 52.01/7.62 | gives:
% 52.01/7.62 | (132) aNaturalNumber0(all_42_0) = all_76_0 & aNaturalNumber0(xm) = all_76_1
% 52.01/7.62 | & aNaturalNumber0(xn) = all_76_2 & ( ~ (all_76_1 = 0) | ~ (all_76_2
% 52.01/7.62 | = 0) | all_76_0 = 0)
% 52.01/7.62 |
% 52.01/7.62 | ALPHA: (132) implies:
% 52.01/7.62 | (133) aNaturalNumber0(xn) = all_76_2
% 52.01/7.62 | (134) aNaturalNumber0(xm) = all_76_1
% 52.01/7.62 | (135) aNaturalNumber0(all_42_0) = all_76_0
% 52.01/7.62 | (136) ~ (all_76_1 = 0) | ~ (all_76_2 = 0) | all_76_0 = 0
% 52.01/7.62 |
% 52.01/7.62 | DELTA: instantiating (86) with fresh symbols all_78_0, all_78_1, all_78_2
% 52.01/7.62 | gives:
% 52.01/7.62 | (137) aNaturalNumber0(all_54_1) = all_78_0 & aNaturalNumber0(xm) = all_78_1
% 52.01/7.62 | & aNaturalNumber0(xn) = all_78_2 & ( ~ (all_78_1 = 0) | ~ (all_78_2
% 52.01/7.62 | = 0) | all_78_0 = 0)
% 52.01/7.62 |
% 52.01/7.62 | ALPHA: (137) implies:
% 52.01/7.62 | (138) aNaturalNumber0(xn) = all_78_2
% 52.01/7.62 | (139) aNaturalNumber0(xm) = all_78_1
% 52.01/7.62 | (140) aNaturalNumber0(all_54_1) = all_78_0
% 52.01/7.62 | (141) ~ (all_78_1 = 0) | ~ (all_78_2 = 0) | all_78_0 = 0
% 52.01/7.62 |
% 52.01/7.62 | DELTA: instantiating (100) with fresh symbols all_80_0, all_80_1, all_80_2
% 52.01/7.62 | gives:
% 52.01/7.62 | (142) sdtasdt0(xr, all_52_1) = all_80_0 & aNaturalNumber0(all_52_1) =
% 52.01/7.62 | all_80_2 & aNaturalNumber0(xr) = all_80_1 & $i(all_80_0) & ( ~
% 52.01/7.62 | (all_80_1 = 0) | ~ (all_80_2 = 0) | all_80_0 = all_52_0)
% 52.01/7.62 |
% 52.01/7.62 | ALPHA: (142) implies:
% 52.01/7.62 | (143) aNaturalNumber0(xr) = all_80_1
% 52.01/7.62 | (144) aNaturalNumber0(all_52_1) = all_80_2
% 52.01/7.62 | (145) sdtasdt0(xr, all_52_1) = all_80_0
% 52.01/7.62 | (146) ~ (all_80_1 = 0) | ~ (all_80_2 = 0) | all_80_0 = all_52_0
% 52.01/7.62 |
% 52.01/7.62 | DELTA: instantiating (91) with fresh symbols all_82_0, all_82_1, all_82_2
% 52.01/7.62 | gives:
% 52.01/7.62 | (147) sdtasdt0(xm, xn) = all_82_0 & aNaturalNumber0(xm) = all_82_1 &
% 52.01/7.62 | aNaturalNumber0(xn) = all_82_2 & $i(all_82_0) & ( ~ (all_82_1 = 0) |
% 52.01/7.62 | ~ (all_82_2 = 0) | all_82_0 = all_42_0)
% 52.01/7.62 |
% 52.01/7.62 | ALPHA: (147) implies:
% 52.01/7.62 | (148) aNaturalNumber0(xn) = all_82_2
% 52.01/7.62 | (149) aNaturalNumber0(xm) = all_82_1
% 52.01/7.62 | (150) sdtasdt0(xm, xn) = all_82_0
% 52.01/7.62 | (151) ~ (all_82_1 = 0) | ~ (all_82_2 = 0) | all_82_0 = all_42_0
% 52.01/7.62 |
% 52.01/7.62 | DELTA: instantiating (98) with fresh symbols all_84_0, all_84_1, all_84_2
% 52.01/7.62 | gives:
% 52.01/7.63 | (152) sdtasdt0(xr, all_52_5) = all_84_0 & aNaturalNumber0(all_52_5) =
% 52.01/7.63 | all_84_2 & aNaturalNumber0(xr) = all_84_1 & $i(all_84_0) & ( ~
% 52.01/7.63 | (all_84_1 = 0) | ~ (all_84_2 = 0) | all_84_0 = all_52_4)
% 52.01/7.63 |
% 52.01/7.63 | ALPHA: (152) implies:
% 52.01/7.63 | (153) aNaturalNumber0(xr) = all_84_1
% 52.01/7.63 | (154) sdtasdt0(xr, all_52_5) = all_84_0
% 52.01/7.63 |
% 52.01/7.63 | DELTA: instantiating (89) with fresh symbols all_86_0, all_86_1, all_86_2
% 52.01/7.63 | gives:
% 52.01/7.63 | (155) sdtpldt0(xp, all_54_1) = all_86_0 & aNaturalNumber0(all_54_1) =
% 52.01/7.63 | all_86_2 & aNaturalNumber0(xp) = all_86_1 & $i(all_86_0) & ( ~
% 52.01/7.63 | (all_86_1 = 0) | ~ (all_86_2 = 0) | all_86_0 = all_54_0)
% 52.01/7.63 |
% 52.01/7.63 | ALPHA: (155) implies:
% 52.01/7.63 | (156) aNaturalNumber0(xp) = all_86_1
% 52.01/7.63 | (157) aNaturalNumber0(all_54_1) = all_86_2
% 52.01/7.63 | (158) sdtpldt0(xp, all_54_1) = all_86_0
% 52.01/7.63 | (159) ~ (all_86_1 = 0) | ~ (all_86_2 = 0) | all_86_0 = all_54_0
% 52.01/7.63 |
% 52.01/7.63 | DELTA: instantiating (85) with fresh symbols all_88_0, all_88_1, all_88_2
% 52.01/7.63 | gives:
% 52.01/7.63 | (160) sdtpldt0(xm, xn) = all_88_0 & aNaturalNumber0(xm) = all_88_1 &
% 52.01/7.63 | aNaturalNumber0(xn) = all_88_2 & $i(all_88_0) & ( ~ (all_88_1 = 0) |
% 52.01/7.63 | ~ (all_88_2 = 0) | all_88_0 = all_54_1)
% 52.01/7.63 |
% 52.01/7.63 | ALPHA: (160) implies:
% 52.01/7.63 | (161) $i(all_88_0)
% 52.01/7.63 | (162) aNaturalNumber0(xn) = all_88_2
% 52.01/7.63 | (163) aNaturalNumber0(xm) = all_88_1
% 52.01/7.63 | (164) sdtpldt0(xm, xn) = all_88_0
% 52.01/7.63 | (165) ~ (all_88_1 = 0) | ~ (all_88_2 = 0) | all_88_0 = all_54_1
% 52.01/7.63 |
% 52.01/7.63 | DELTA: instantiating (95) with fresh symbols all_90_0, all_90_1, all_90_2
% 52.01/7.63 | gives:
% 52.01/7.63 | (166) sdtasdt0(xm, all_50_0) = all_90_0 & aNaturalNumber0(all_50_0) =
% 52.01/7.63 | all_90_2 & aNaturalNumber0(xm) = all_90_1 & $i(all_90_0) & ( ~
% 52.01/7.63 | (all_90_1 = 0) | ~ (all_90_2 = 0) | all_90_0 = all_52_5)
% 52.01/7.63 |
% 52.01/7.63 | ALPHA: (166) implies:
% 52.01/7.63 | (167) aNaturalNumber0(xm) = all_90_1
% 52.01/7.63 | (168) aNaturalNumber0(all_50_0) = all_90_2
% 52.01/7.63 | (169) sdtasdt0(xm, all_50_0) = all_90_0
% 52.01/7.63 |
% 52.01/7.63 | DELTA: instantiating (93) with fresh symbols all_92_0, all_92_1, all_92_2
% 52.01/7.63 | gives:
% 52.01/7.63 | (170) sdtasdt0(xk, xp) = all_92_0 & aNaturalNumber0(xk) = all_92_1 &
% 52.01/7.63 | aNaturalNumber0(xp) = all_92_2 & $i(all_92_0) & ( ~ (all_92_1 = 0) |
% 52.01/7.63 | ~ (all_92_2 = 0) | all_92_0 = all_52_2)
% 52.01/7.63 |
% 52.01/7.63 | ALPHA: (170) implies:
% 52.01/7.63 | (171) aNaturalNumber0(xp) = all_92_2
% 52.01/7.63 | (172) aNaturalNumber0(xk) = all_92_1
% 52.01/7.63 | (173) sdtasdt0(xk, xp) = all_92_0
% 52.01/7.63 | (174) ~ (all_92_1 = 0) | ~ (all_92_2 = 0) | all_92_0 = all_52_2
% 52.01/7.63 |
% 52.01/7.63 | DELTA: instantiating (97) with fresh symbols all_94_0, all_94_1, all_94_2,
% 52.01/7.63 | all_94_3, all_94_4 gives:
% 52.01/7.63 | (175) sdtasdt0(all_50_0, all_94_1) = all_94_0 & sdtasdt0(xm, xr) = all_94_1
% 52.01/7.63 | & aNaturalNumber0(all_50_0) = all_94_4 & aNaturalNumber0(xr) =
% 52.01/7.63 | all_94_2 & aNaturalNumber0(xm) = all_94_3 & $i(all_94_0) &
% 52.01/7.63 | $i(all_94_1) & ( ~ (all_94_2 = 0) | ~ (all_94_3 = 0) | ~ (all_94_4
% 52.01/7.63 | = 0) | all_94_0 = all_52_4)
% 52.01/7.63 |
% 52.01/7.63 | ALPHA: (175) implies:
% 52.01/7.63 | (176) $i(all_94_1)
% 52.01/7.63 | (177) aNaturalNumber0(xm) = all_94_3
% 52.01/7.63 | (178) aNaturalNumber0(xr) = all_94_2
% 52.01/7.63 | (179) aNaturalNumber0(all_50_0) = all_94_4
% 52.01/7.63 | (180) sdtasdt0(xm, xr) = all_94_1
% 52.01/7.63 | (181) sdtasdt0(all_50_0, all_94_1) = all_94_0
% 52.01/7.63 |
% 52.01/7.63 | DELTA: instantiating (88) with fresh symbols all_96_0, all_96_1, all_96_2,
% 52.01/7.63 | all_96_3, all_96_4 gives:
% 52.01/7.63 | (182) sdtpldt0(xm, xp) = all_96_1 & sdtpldt0(xn, all_96_1) = all_96_0 &
% 52.01/7.63 | aNaturalNumber0(xp) = all_96_2 & aNaturalNumber0(xm) = all_96_3 &
% 52.01/7.63 | aNaturalNumber0(xn) = all_96_4 & $i(all_96_0) & $i(all_96_1) & ( ~
% 52.01/7.63 | (all_96_2 = 0) | ~ (all_96_3 = 0) | ~ (all_96_4 = 0) | all_96_0 =
% 52.01/7.63 | all_54_0)
% 52.01/7.63 |
% 52.01/7.63 | ALPHA: (182) implies:
% 52.01/7.63 | (183) aNaturalNumber0(xn) = all_96_4
% 52.01/7.63 | (184) aNaturalNumber0(xm) = all_96_3
% 52.01/7.63 | (185) aNaturalNumber0(xp) = all_96_2
% 52.01/7.63 | (186) sdtpldt0(xm, xp) = all_96_1
% 52.01/7.63 |
% 52.01/7.63 | DELTA: instantiating (87) with fresh symbols all_98_0, all_98_1, all_98_2,
% 52.01/7.63 | all_98_3, all_98_4, all_98_5, all_98_6, all_98_7, all_98_8 gives:
% 52.01/7.63 | (187) isPrime0(xp) = all_98_5 & doDivides0(xp, all_98_4) = all_98_3 &
% 52.01/7.63 | doDivides0(xp, xm) = all_98_0 & doDivides0(xp, xn) = all_98_1 &
% 52.01/7.63 | iLess0(all_54_0, all_54_0) = all_98_2 & sdtasdt0(xn, xm) = all_98_4 &
% 52.01/7.63 | aNaturalNumber0(xp) = all_98_6 & aNaturalNumber0(xm) = all_98_7 &
% 52.01/7.63 | aNaturalNumber0(xn) = all_98_8 & $i(all_98_4) & ( ~ (all_98_2 = 0) |
% 52.01/7.63 | ~ (all_98_3 = 0) | ~ (all_98_5 = 0) | ~ (all_98_6 = 0) | ~
% 52.01/7.63 | (all_98_7 = 0) | ~ (all_98_8 = 0) | all_98_0 = 0 | all_98_1 = 0)
% 52.01/7.63 |
% 52.01/7.63 | ALPHA: (187) implies:
% 52.01/7.63 | (188) aNaturalNumber0(xn) = all_98_8
% 52.01/7.63 | (189) aNaturalNumber0(xm) = all_98_7
% 52.01/7.63 | (190) aNaturalNumber0(xp) = all_98_6
% 52.01/7.63 | (191) sdtasdt0(xn, xm) = all_98_4
% 52.01/7.63 | (192) doDivides0(xp, all_98_4) = all_98_3
% 52.01/7.63 |
% 52.01/7.63 | BETA: splitting (106) gives:
% 52.01/7.63 |
% 52.01/7.63 | Case 1:
% 52.01/7.63 | |
% 52.01/7.63 | | (193) all_50_0 = xn
% 52.01/7.63 | |
% 52.01/7.63 | | REDUCE: (49), (193) imply:
% 52.01/7.63 | | (194) $false
% 52.01/7.64 | |
% 52.01/7.64 | | CLOSE: (194) is inconsistent.
% 52.01/7.64 | |
% 52.01/7.64 | Case 2:
% 52.01/7.64 | |
% 52.01/7.64 | | (195) ? [v0: any] : ? [v1: any] : ? [v2: any] : (sdtlseqdt0(xn,
% 52.01/7.64 | | all_50_0) = v2 & aNaturalNumber0(all_50_0) = v0 &
% 52.01/7.64 | | aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 =
% 52.01/7.64 | | 0)))
% 52.01/7.64 | |
% 52.01/7.64 | | DELTA: instantiating (195) with fresh symbols all_108_0, all_108_1,
% 52.01/7.64 | | all_108_2 gives:
% 52.01/7.64 | | (196) sdtlseqdt0(xn, all_50_0) = all_108_0 & aNaturalNumber0(all_50_0) =
% 52.01/7.64 | | all_108_2 & aNaturalNumber0(xn) = all_108_1 & ( ~ (all_108_0 = 0) |
% 52.01/7.64 | | ~ (all_108_1 = 0) | ~ (all_108_2 = 0))
% 52.01/7.64 | |
% 52.01/7.64 | | ALPHA: (196) implies:
% 52.01/7.64 | | (197) aNaturalNumber0(xn) = all_108_1
% 52.01/7.64 | | (198) aNaturalNumber0(all_50_0) = all_108_2
% 52.01/7.64 | |
% 52.01/7.64 | | BETA: splitting (103) gives:
% 52.01/7.64 | |
% 52.01/7.64 | | Case 1:
% 52.01/7.64 | | |
% 52.01/7.64 | | | (199) xk = xp
% 52.01/7.64 | | |
% 52.01/7.64 | | | REDUCE: (19), (199) imply:
% 52.01/7.64 | | | (200) $false
% 52.01/7.64 | | |
% 52.01/7.64 | | | CLOSE: (200) is inconsistent.
% 52.01/7.64 | | |
% 52.01/7.64 | | Case 2:
% 52.01/7.64 | | |
% 52.01/7.64 | | | (201) ? [v0: any] : ? [v1: any] : ? [v2: any] : (sdtlseqdt0(xp, xk)
% 52.01/7.64 | | | = v2 & aNaturalNumber0(xk) = v0 & aNaturalNumber0(xp) = v1 & (
% 52.01/7.64 | | | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 52.01/7.64 | | |
% 52.01/7.64 | | | DELTA: instantiating (201) with fresh symbols all_113_0, all_113_1,
% 52.01/7.64 | | | all_113_2 gives:
% 52.01/7.64 | | | (202) sdtlseqdt0(xp, xk) = all_113_0 & aNaturalNumber0(xk) = all_113_2
% 52.01/7.64 | | | & aNaturalNumber0(xp) = all_113_1 & ( ~ (all_113_0 = 0) | ~
% 52.01/7.64 | | | (all_113_1 = 0) | ~ (all_113_2 = 0))
% 52.01/7.64 | | |
% 52.01/7.64 | | | ALPHA: (202) implies:
% 52.01/7.64 | | | (203) aNaturalNumber0(xp) = all_113_1
% 52.01/7.64 | | | (204) aNaturalNumber0(xk) = all_113_2
% 52.01/7.64 | | |
% 52.01/7.64 | | | GROUND_INST: instantiating (30) with 0, all_78_2, xn, simplifying with
% 52.01/7.64 | | | (6), (138) gives:
% 52.01/7.64 | | | (205) all_78_2 = 0
% 52.01/7.64 | | |
% 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_78_2, all_82_2, xn, simplifying
% 52.01/7.64 | | | with (138), (148) gives:
% 52.01/7.64 | | | (206) all_82_2 = all_78_2
% 52.01/7.64 | | |
% 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_76_2, all_96_4, xn, simplifying
% 52.01/7.64 | | | with (133), (183) gives:
% 52.01/7.64 | | | (207) all_96_4 = all_76_2
% 52.01/7.64 | | |
% 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_96_4, all_98_8, xn, simplifying
% 52.01/7.64 | | | with (183), (188) gives:
% 52.01/7.64 | | | (208) all_98_8 = all_96_4
% 52.01/7.64 | | |
% 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_82_2, all_98_8, xn, simplifying
% 52.01/7.64 | | | with (148), (188) gives:
% 52.01/7.64 | | | (209) all_98_8 = all_82_2
% 52.01/7.64 | | |
% 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_98_8, all_108_1, xn, simplifying
% 52.01/7.64 | | | with (188), (197) gives:
% 52.01/7.64 | | | (210) all_108_1 = all_98_8
% 52.01/7.64 | | |
% 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_88_2, all_108_1, xn, simplifying
% 52.01/7.64 | | | with (162), (197) gives:
% 52.01/7.64 | | | (211) all_108_1 = all_88_2
% 52.01/7.64 | | |
% 52.01/7.64 | | | GROUND_INST: instantiating (30) with 0, all_78_1, xm, simplifying with
% 52.01/7.64 | | | (7), (139) gives:
% 52.01/7.64 | | | (212) all_78_1 = 0
% 52.01/7.64 | | |
% 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_78_1, all_90_1, xm, simplifying
% 52.01/7.64 | | | with (139), (167) gives:
% 52.01/7.64 | | | (213) all_90_1 = all_78_1
% 52.01/7.64 | | |
% 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_90_1, all_94_3, xm, simplifying
% 52.01/7.64 | | | with (167), (177) gives:
% 52.01/7.64 | | | (214) all_94_3 = all_90_1
% 52.01/7.64 | | |
% 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_82_1, all_94_3, xm, simplifying
% 52.01/7.64 | | | with (149), (177) gives:
% 52.01/7.64 | | | (215) all_94_3 = all_82_1
% 52.01/7.64 | | |
% 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_90_1, all_96_3, xm, simplifying
% 52.01/7.64 | | | with (167), (184) gives:
% 52.01/7.64 | | | (216) all_96_3 = all_90_1
% 52.01/7.64 | | |
% 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_88_1, all_96_3, xm, simplifying
% 52.01/7.64 | | | with (163), (184) gives:
% 52.01/7.64 | | | (217) all_96_3 = all_88_1
% 52.01/7.64 | | |
% 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_76_1, all_96_3, xm, simplifying
% 52.01/7.64 | | | with (134), (184) gives:
% 52.01/7.64 | | | (218) all_96_3 = all_76_1
% 52.01/7.64 | | |
% 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_90_1, all_98_7, xm, simplifying
% 52.01/7.64 | | | with (167), (189) gives:
% 52.01/7.64 | | | (219) all_98_7 = all_90_1
% 52.01/7.64 | | |
% 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_72_1, all_98_7, xm, simplifying
% 52.01/7.64 | | | with (126), (189) gives:
% 52.01/7.64 | | | (220) all_98_7 = all_72_1
% 52.01/7.64 | | |
% 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_68_1, all_74_2, xp, simplifying
% 52.01/7.64 | | | with (120), (129) gives:
% 52.01/7.64 | | | (221) all_74_2 = all_68_1
% 52.01/7.64 | | |
% 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_74_2, all_92_2, xp, simplifying
% 52.01/7.64 | | | with (129), (171) gives:
% 52.01/7.64 | | | (222) all_92_2 = all_74_2
% 52.01/7.64 | | |
% 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_92_2, all_96_2, xp, simplifying
% 52.01/7.64 | | | with (171), (185) gives:
% 52.01/7.64 | | | (223) all_96_2 = all_92_2
% 52.01/7.64 | | |
% 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_86_1, all_96_2, xp, simplifying
% 52.01/7.64 | | | with (156), (185) gives:
% 52.01/7.64 | | | (224) all_96_2 = all_86_1
% 52.01/7.64 | | |
% 52.01/7.64 | | | GROUND_INST: instantiating (30) with 0, all_113_1, xp, simplifying with
% 52.01/7.64 | | | (8), (203) gives:
% 52.01/7.64 | | | (225) all_113_1 = 0
% 52.01/7.64 | | |
% 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_98_6, all_113_1, xp, simplifying
% 52.01/7.64 | | | with (190), (203) gives:
% 52.01/7.64 | | | (226) all_113_1 = all_98_6
% 52.01/7.64 | | |
% 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_92_2, all_113_1, xp, simplifying
% 52.01/7.64 | | | with (171), (203) gives:
% 52.01/7.64 | | | (227) all_113_1 = all_92_2
% 52.01/7.64 | | |
% 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_92_1, all_113_2, xk, simplifying
% 52.01/7.64 | | | with (172), (204) gives:
% 52.01/7.64 | | | (228) all_113_2 = all_92_1
% 52.01/7.64 | | |
% 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_74_1, all_113_2, xk, simplifying
% 52.01/7.64 | | | with (130), (204) gives:
% 52.01/7.64 | | | (229) all_113_2 = all_74_1
% 52.01/7.64 | | |
% 52.01/7.64 | | | GROUND_INST: instantiating (30) with 0, all_84_1, xr, simplifying with
% 52.01/7.64 | | | (15), (153) gives:
% 52.01/7.64 | | | (230) all_84_1 = 0
% 52.01/7.64 | | |
% 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_80_1, all_84_1, xr, simplifying
% 52.01/7.64 | | | with (143), (153) gives:
% 52.01/7.64 | | | (231) all_84_1 = all_80_1
% 52.01/7.64 | | |
% 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_80_1, all_94_2, xr, simplifying
% 52.01/7.64 | | | with (143), (178) gives:
% 52.01/7.64 | | | (232) all_94_2 = all_80_1
% 52.01/7.64 | | |
% 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_70_1, all_94_2, xr, simplifying
% 52.01/7.64 | | | with (124), (178) gives:
% 52.01/7.64 | | | (233) all_94_2 = all_70_1
% 52.01/7.64 | | |
% 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_66_1, all_94_2, xr, simplifying
% 52.01/7.64 | | | with (117), (178) gives:
% 52.01/7.64 | | | (234) all_94_2 = all_66_1
% 52.01/7.64 | | |
% 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_72_2, all_94_4, all_50_0,
% 52.01/7.64 | | | simplifying with (127), (179) gives:
% 52.01/7.64 | | | (235) all_94_4 = all_72_2
% 52.01/7.64 | | |
% 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_94_4, all_108_2, all_50_0,
% 52.01/7.64 | | | simplifying with (179), (198) gives:
% 52.01/7.64 | | | (236) all_108_2 = all_94_4
% 52.01/7.64 | | |
% 52.01/7.65 | | | GROUND_INST: instantiating (30) with all_90_2, all_108_2, all_50_0,
% 52.01/7.65 | | | simplifying with (168), (198) gives:
% 52.01/7.65 | | | (237) all_108_2 = all_90_2
% 52.01/7.65 | | |
% 52.01/7.65 | | | GROUND_INST: instantiating (30) with all_66_2, all_80_2, all_52_1,
% 52.01/7.65 | | | simplifying with (118), (144) gives:
% 52.01/7.65 | | | (238) all_80_2 = all_66_2
% 52.01/7.65 | | |
% 52.01/7.65 | | | GROUND_INST: instantiating (30) with all_78_0, all_86_2, all_54_1,
% 52.01/7.65 | | | simplifying with (140), (157) gives:
% 52.01/7.65 | | | (239) all_86_2 = all_78_0
% 52.01/7.65 | | |
% 52.01/7.65 | | | GROUND_INST: instantiating (30) with all_68_2, all_86_2, all_54_1,
% 52.01/7.65 | | | simplifying with (121), (157) gives:
% 52.01/7.65 | | | (240) all_86_2 = all_68_2
% 52.01/7.65 | | |
% 52.01/7.65 | | | GROUND_INST: instantiating (31) with all_42_0, all_98_4, xm, xn,
% 52.01/7.65 | | | simplifying with (35), (191) gives:
% 52.01/7.65 | | | (241) all_98_4 = all_42_0
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (225), (226) imply:
% 52.01/7.65 | | | (242) all_98_6 = 0
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (226), (227) imply:
% 52.01/7.65 | | | (243) all_98_6 = all_92_2
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (228), (229) imply:
% 52.01/7.65 | | | (244) all_92_1 = all_74_1
% 52.01/7.65 | | |
% 52.01/7.65 | | | SIMP: (244) implies:
% 52.01/7.65 | | | (245) all_92_1 = all_74_1
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (210), (211) imply:
% 52.01/7.65 | | | (246) all_98_8 = all_88_2
% 52.01/7.65 | | |
% 52.01/7.65 | | | SIMP: (246) implies:
% 52.01/7.65 | | | (247) all_98_8 = all_88_2
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (236), (237) imply:
% 52.01/7.65 | | | (248) all_94_4 = all_90_2
% 52.01/7.65 | | |
% 52.01/7.65 | | | SIMP: (248) implies:
% 52.01/7.65 | | | (249) all_94_4 = all_90_2
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (242), (243) imply:
% 52.01/7.65 | | | (250) all_92_2 = 0
% 52.01/7.65 | | |
% 52.01/7.65 | | | SIMP: (250) implies:
% 52.01/7.65 | | | (251) all_92_2 = 0
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (219), (220) imply:
% 52.01/7.65 | | | (252) all_90_1 = all_72_1
% 52.01/7.65 | | |
% 52.01/7.65 | | | SIMP: (252) implies:
% 52.01/7.65 | | | (253) all_90_1 = all_72_1
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (209), (247) imply:
% 52.01/7.65 | | | (254) all_88_2 = all_82_2
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (208), (247) imply:
% 52.01/7.65 | | | (255) all_96_4 = all_88_2
% 52.01/7.65 | | |
% 52.01/7.65 | | | SIMP: (255) implies:
% 52.01/7.65 | | | (256) all_96_4 = all_88_2
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (223), (224) imply:
% 52.01/7.65 | | | (257) all_92_2 = all_86_1
% 52.01/7.65 | | |
% 52.01/7.65 | | | SIMP: (257) implies:
% 52.01/7.65 | | | (258) all_92_2 = all_86_1
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (216), (217) imply:
% 52.01/7.65 | | | (259) all_90_1 = all_88_1
% 52.01/7.65 | | |
% 52.01/7.65 | | | SIMP: (259) implies:
% 52.01/7.65 | | | (260) all_90_1 = all_88_1
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (217), (218) imply:
% 52.01/7.65 | | | (261) all_88_1 = all_76_1
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (207), (256) imply:
% 52.01/7.65 | | | (262) all_88_2 = all_76_2
% 52.01/7.65 | | |
% 52.01/7.65 | | | SIMP: (262) implies:
% 52.01/7.65 | | | (263) all_88_2 = all_76_2
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (233), (234) imply:
% 52.01/7.65 | | | (264) all_70_1 = all_66_1
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (232), (233) imply:
% 52.01/7.65 | | | (265) all_80_1 = all_70_1
% 52.01/7.65 | | |
% 52.01/7.65 | | | SIMP: (265) implies:
% 52.01/7.65 | | | (266) all_80_1 = all_70_1
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (214), (215) imply:
% 52.01/7.65 | | | (267) all_90_1 = all_82_1
% 52.01/7.65 | | |
% 52.01/7.65 | | | SIMP: (267) implies:
% 52.01/7.65 | | | (268) all_90_1 = all_82_1
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (235), (249) imply:
% 52.01/7.65 | | | (269) all_90_2 = all_72_2
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (222), (258) imply:
% 52.01/7.65 | | | (270) all_86_1 = all_74_2
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (251), (258) imply:
% 52.01/7.65 | | | (271) all_86_1 = 0
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (213), (268) imply:
% 52.01/7.65 | | | (272) all_82_1 = all_78_1
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (253), (268) imply:
% 52.01/7.65 | | | (273) all_82_1 = all_72_1
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (260), (268) imply:
% 52.01/7.65 | | | (274) all_88_1 = all_82_1
% 52.01/7.65 | | |
% 52.01/7.65 | | | SIMP: (274) implies:
% 52.01/7.65 | | | (275) all_88_1 = all_82_1
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (261), (275) imply:
% 52.01/7.65 | | | (276) all_82_1 = all_76_1
% 52.01/7.65 | | |
% 52.01/7.65 | | | SIMP: (276) implies:
% 52.01/7.65 | | | (277) all_82_1 = all_76_1
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (254), (263) imply:
% 52.01/7.65 | | | (278) all_82_2 = all_76_2
% 52.01/7.65 | | |
% 52.01/7.65 | | | SIMP: (278) implies:
% 52.01/7.65 | | | (279) all_82_2 = all_76_2
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (270), (271) imply:
% 52.01/7.65 | | | (280) all_74_2 = 0
% 52.01/7.65 | | |
% 52.01/7.65 | | | SIMP: (280) implies:
% 52.01/7.65 | | | (281) all_74_2 = 0
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (239), (240) imply:
% 52.01/7.65 | | | (282) all_78_0 = all_68_2
% 52.01/7.65 | | |
% 52.01/7.65 | | | SIMP: (282) implies:
% 52.01/7.65 | | | (283) all_78_0 = all_68_2
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (230), (231) imply:
% 52.01/7.65 | | | (284) all_80_1 = 0
% 52.01/7.65 | | |
% 52.01/7.65 | | | SIMP: (284) implies:
% 52.01/7.65 | | | (285) all_80_1 = 0
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (272), (277) imply:
% 52.01/7.65 | | | (286) all_78_1 = all_76_1
% 52.01/7.65 | | |
% 52.01/7.65 | | | SIMP: (286) implies:
% 52.01/7.65 | | | (287) all_78_1 = all_76_1
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (273), (277) imply:
% 52.01/7.65 | | | (288) all_76_1 = all_72_1
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (206), (279) imply:
% 52.01/7.65 | | | (289) all_78_2 = all_76_2
% 52.01/7.65 | | |
% 52.01/7.65 | | | SIMP: (289) implies:
% 52.01/7.65 | | | (290) all_78_2 = all_76_2
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (266), (285) imply:
% 52.01/7.65 | | | (291) all_70_1 = 0
% 52.01/7.65 | | |
% 52.01/7.65 | | | SIMP: (291) implies:
% 52.01/7.65 | | | (292) all_70_1 = 0
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (212), (287) imply:
% 52.01/7.65 | | | (293) all_76_1 = 0
% 52.01/7.65 | | |
% 52.01/7.65 | | | SIMP: (293) implies:
% 52.01/7.65 | | | (294) all_76_1 = 0
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (205), (290) imply:
% 52.01/7.65 | | | (295) all_76_2 = 0
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (288), (294) imply:
% 52.01/7.65 | | | (296) all_72_1 = 0
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (221), (281) imply:
% 52.01/7.65 | | | (297) all_68_1 = 0
% 52.01/7.65 | | |
% 52.01/7.65 | | | SIMP: (297) implies:
% 52.01/7.65 | | | (298) all_68_1 = 0
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (264), (292) imply:
% 52.01/7.65 | | | (299) all_66_1 = 0
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (279), (295) imply:
% 52.01/7.65 | | | (300) all_82_2 = 0
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (277), (294) imply:
% 52.01/7.65 | | | (301) all_82_1 = 0
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (263), (295) imply:
% 52.01/7.65 | | | (302) all_88_2 = 0
% 52.01/7.65 | | |
% 52.01/7.65 | | | COMBINE_EQS: (261), (294) imply:
% 52.01/7.65 | | | (303) all_88_1 = 0
% 52.01/7.65 | | |
% 52.01/7.65 | | | REDUCE: (192), (241) imply:
% 52.01/7.65 | | | (304) doDivides0(xp, all_42_0) = all_98_3
% 52.01/7.65 | | |
% 52.01/7.65 | | | BETA: splitting (115) gives:
% 52.01/7.65 | | |
% 52.01/7.65 | | | Case 1:
% 52.01/7.65 | | | |
% 52.01/7.65 | | | | (305) ? [v0: int] : ( ~ (v0 = 0) & aNaturalNumber0(xr) = v0)
% 52.01/7.65 | | | |
% 52.01/7.65 | | | | DELTA: instantiating (305) with fresh symbol all_122_0 gives:
% 52.01/7.65 | | | | (306) ~ (all_122_0 = 0) & aNaturalNumber0(xr) = all_122_0
% 52.01/7.65 | | | |
% 52.01/7.65 | | | | ALPHA: (306) implies:
% 52.01/7.65 | | | | (307) ~ (all_122_0 = 0)
% 52.01/7.65 | | | | (308) aNaturalNumber0(xr) = all_122_0
% 52.01/7.65 | | | |
% 52.01/7.65 | | | | GROUND_INST: instantiating (30) with 0, all_122_0, xr, simplifying with
% 52.01/7.65 | | | | (15), (308) gives:
% 52.01/7.65 | | | | (309) all_122_0 = 0
% 52.01/7.65 | | | |
% 52.01/7.65 | | | | REDUCE: (307), (309) imply:
% 52.01/7.65 | | | | (310) $false
% 52.01/7.65 | | | |
% 52.01/7.65 | | | | CLOSE: (310) is inconsistent.
% 52.01/7.65 | | | |
% 52.01/7.65 | | | Case 2:
% 52.01/7.65 | | | |
% 52.01/7.65 | | | | (311) ~ (xr = sz10) & ~ (xr = sz00) & ! [v0: $i] : (v0 = xr | v0 =
% 52.01/7.65 | | | | sz10 | ~ (doDivides0(v0, xr) = 0) | ~ $i(v0) | ? [v1: int]
% 52.01/7.65 | | | | : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))
% 52.01/7.65 | | | |
% 52.01/7.65 | | | | ALPHA: (311) implies:
% 52.01/7.65 | | | | (312) ~ (xr = sz00)
% 52.01/7.65 | | | | (313) ~ (xr = sz10)
% 52.01/7.66 | | | | (314) ! [v0: $i] : (v0 = xr | v0 = sz10 | ~ (doDivides0(v0, xr) =
% 52.01/7.66 | | | | 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 52.01/7.66 | | | | aNaturalNumber0(v0) = v1))
% 52.01/7.66 | | | |
% 52.01/7.66 | | | | BETA: splitting (114) gives:
% 52.01/7.66 | | | |
% 52.01/7.66 | | | | Case 1:
% 52.01/7.66 | | | | |
% 52.01/7.66 | | | | | (315) ? [v0: int] : ( ~ (v0 = 0) & aNaturalNumber0(xp) = v0)
% 52.01/7.66 | | | | |
% 52.01/7.66 | | | | | DELTA: instantiating (315) with fresh symbol all_127_0 gives:
% 52.01/7.66 | | | | | (316) ~ (all_127_0 = 0) & aNaturalNumber0(xp) = all_127_0
% 52.01/7.66 | | | | |
% 52.01/7.66 | | | | | ALPHA: (316) implies:
% 52.01/7.66 | | | | | (317) ~ (all_127_0 = 0)
% 52.01/7.66 | | | | | (318) aNaturalNumber0(xp) = all_127_0
% 52.01/7.66 | | | | |
% 52.01/7.66 | | | | | GROUND_INST: instantiating (30) with 0, all_127_0, xp, simplifying
% 52.01/7.66 | | | | | with (8), (318) gives:
% 52.01/7.66 | | | | | (319) all_127_0 = 0
% 52.01/7.66 | | | | |
% 52.01/7.66 | | | | | REDUCE: (317), (319) imply:
% 52.01/7.66 | | | | | (320) $false
% 52.01/7.66 | | | | |
% 52.01/7.66 | | | | | CLOSE: (320) is inconsistent.
% 52.01/7.66 | | | | |
% 52.01/7.66 | | | | Case 2:
% 52.01/7.66 | | | | |
% 52.01/7.66 | | | | | (321) ~ (xp = sz10) & ~ (xp = sz00) & ! [v0: $i] : (v0 = xp | v0
% 52.01/7.66 | | | | | = sz10 | ~ (doDivides0(v0, xp) = 0) | ~ $i(v0) | ? [v1:
% 52.01/7.66 | | | | | int] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))
% 52.01/7.66 | | | | |
% 52.01/7.66 | | | | | ALPHA: (321) implies:
% 52.01/7.66 | | | | | (322) ~ (xp = sz00)
% 52.01/7.66 | | | | | (323) ~ (xp = sz10)
% 52.01/7.66 | | | | |
% 52.01/7.66 | | | | | BETA: splitting (165) gives:
% 52.01/7.66 | | | | |
% 52.01/7.66 | | | | | Case 1:
% 52.01/7.66 | | | | | |
% 52.01/7.66 | | | | | | (324) ~ (all_88_1 = 0)
% 52.01/7.66 | | | | | |
% 52.01/7.66 | | | | | | REDUCE: (303), (324) imply:
% 52.01/7.66 | | | | | | (325) $false
% 52.01/7.66 | | | | | |
% 52.01/7.66 | | | | | | CLOSE: (325) is inconsistent.
% 52.01/7.66 | | | | | |
% 52.01/7.66 | | | | | Case 2:
% 52.01/7.66 | | | | | |
% 52.01/7.66 | | | | | | (326) ~ (all_88_2 = 0) | all_88_0 = all_54_1
% 52.01/7.66 | | | | | |
% 52.01/7.66 | | | | | | BETA: splitting (136) gives:
% 52.01/7.66 | | | | | |
% 52.01/7.66 | | | | | | Case 1:
% 52.01/7.66 | | | | | | |
% 52.01/7.66 | | | | | | | (327) ~ (all_76_1 = 0)
% 52.01/7.66 | | | | | | |
% 52.01/7.66 | | | | | | | REDUCE: (294), (327) imply:
% 52.01/7.66 | | | | | | | (328) $false
% 52.01/7.66 | | | | | | |
% 52.01/7.66 | | | | | | | CLOSE: (328) is inconsistent.
% 52.01/7.66 | | | | | | |
% 52.01/7.66 | | | | | | Case 2:
% 52.01/7.66 | | | | | | |
% 52.01/7.66 | | | | | | | (329) ~ (all_76_2 = 0) | all_76_0 = 0
% 52.01/7.66 | | | | | | |
% 52.01/7.66 | | | | | | | BETA: splitting (107) gives:
% 52.01/7.66 | | | | | | |
% 52.01/7.66 | | | | | | | Case 1:
% 52.01/7.66 | | | | | | | |
% 52.01/7.66 | | | | | | | | (330) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xr) = v0
% 52.01/7.66 | | | | | | | | & aNaturalNumber0(xn) = v1 & ( ~ (v1 = 0) | ~ (v0 =
% 52.01/7.66 | | | | | | | | 0)))
% 52.01/7.66 | | | | | | | |
% 52.01/7.66 | | | | | | | | DELTA: instantiating (330) with fresh symbols all_152_0,
% 52.01/7.66 | | | | | | | | all_152_1 gives:
% 52.01/7.66 | | | | | | | | (331) aNaturalNumber0(xr) = all_152_1 & aNaturalNumber0(xn) =
% 52.01/7.66 | | | | | | | | all_152_0 & ( ~ (all_152_0 = 0) | ~ (all_152_1 = 0))
% 52.01/7.66 | | | | | | | |
% 52.01/7.66 | | | | | | | | ALPHA: (331) implies:
% 52.01/7.66 | | | | | | | | (332) aNaturalNumber0(xn) = all_152_0
% 52.01/7.66 | | | | | | | | (333) aNaturalNumber0(xr) = all_152_1
% 52.01/7.66 | | | | | | | | (334) ~ (all_152_0 = 0) | ~ (all_152_1 = 0)
% 52.01/7.66 | | | | | | | |
% 52.01/7.66 | | | | | | | | BETA: splitting (141) gives:
% 52.01/7.66 | | | | | | | |
% 52.01/7.66 | | | | | | | | Case 1:
% 52.01/7.66 | | | | | | | | |
% 52.01/7.66 | | | | | | | | | (335) ~ (all_78_1 = 0)
% 52.01/7.66 | | | | | | | | |
% 52.01/7.66 | | | | | | | | | REDUCE: (212), (335) imply:
% 52.01/7.66 | | | | | | | | | (336) $false
% 52.01/7.66 | | | | | | | | |
% 52.01/7.66 | | | | | | | | | CLOSE: (336) is inconsistent.
% 52.01/7.66 | | | | | | | | |
% 52.01/7.66 | | | | | | | | Case 2:
% 52.01/7.66 | | | | | | | | |
% 52.01/7.66 | | | | | | | | | (337) ~ (all_78_2 = 0) | all_78_0 = 0
% 52.01/7.66 | | | | | | | | |
% 52.01/7.66 | | | | | | | | | BETA: splitting (337) gives:
% 52.01/7.66 | | | | | | | | |
% 52.01/7.66 | | | | | | | | | Case 1:
% 52.01/7.66 | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | (338) ~ (all_78_2 = 0)
% 52.01/7.66 | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | REDUCE: (205), (338) imply:
% 52.01/7.66 | | | | | | | | | | (339) $false
% 52.01/7.66 | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | CLOSE: (339) is inconsistent.
% 52.01/7.66 | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | Case 2:
% 52.01/7.66 | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | (340) all_78_0 = 0
% 52.01/7.66 | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | COMBINE_EQS: (283), (340) imply:
% 52.01/7.66 | | | | | | | | | | (341) all_68_2 = 0
% 52.01/7.66 | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | SIMP: (341) implies:
% 52.01/7.66 | | | | | | | | | | (342) all_68_2 = 0
% 52.01/7.66 | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | COMBINE_EQS: (240), (342) imply:
% 52.01/7.66 | | | | | | | | | | (343) all_86_2 = 0
% 52.01/7.66 | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | BETA: splitting (159) gives:
% 52.01/7.66 | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | Case 1:
% 52.01/7.66 | | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | | (344) ~ (all_86_1 = 0)
% 52.01/7.66 | | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | | REDUCE: (271), (344) imply:
% 52.01/7.66 | | | | | | | | | | | (345) $false
% 52.01/7.66 | | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | | CLOSE: (345) is inconsistent.
% 52.01/7.66 | | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | Case 2:
% 52.01/7.66 | | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | | (346) ~ (all_86_2 = 0) | all_86_0 = all_54_0
% 52.01/7.66 | | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | | BETA: splitting (346) gives:
% 52.01/7.66 | | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | | Case 1:
% 52.01/7.66 | | | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | | | (347) ~ (all_86_2 = 0)
% 52.01/7.66 | | | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | | | REDUCE: (343), (347) imply:
% 52.01/7.66 | | | | | | | | | | | | (348) $false
% 52.01/7.66 | | | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | | | CLOSE: (348) is inconsistent.
% 52.01/7.66 | | | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | | Case 2:
% 52.01/7.66 | | | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_152_0, xn,
% 52.01/7.66 | | | | | | | | | | | | simplifying with (6), (332) gives:
% 52.01/7.66 | | | | | | | | | | | | (349) all_152_0 = 0
% 52.01/7.66 | | | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_152_1, xr,
% 52.01/7.66 | | | | | | | | | | | | simplifying with (15), (333) gives:
% 52.01/7.66 | | | | | | | | | | | | (350) all_152_1 = 0
% 52.01/7.66 | | | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | | | BETA: splitting (334) gives:
% 52.01/7.66 | | | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | | | Case 1:
% 52.01/7.66 | | | | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | | | | (351) ~ (all_152_0 = 0)
% 52.01/7.66 | | | | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | | | | REDUCE: (349), (351) imply:
% 52.01/7.66 | | | | | | | | | | | | | (352) $false
% 52.01/7.66 | | | | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | | | | CLOSE: (352) is inconsistent.
% 52.01/7.66 | | | | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | | | Case 2:
% 52.01/7.66 | | | | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | | | | (353) ~ (all_152_1 = 0)
% 52.01/7.66 | | | | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | | | | REDUCE: (350), (353) imply:
% 52.01/7.66 | | | | | | | | | | | | | (354) $false
% 52.01/7.66 | | | | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | | | | CLOSE: (354) is inconsistent.
% 52.01/7.66 | | | | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | | | End of split
% 52.01/7.66 | | | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | | End of split
% 52.01/7.66 | | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | End of split
% 52.01/7.66 | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | End of split
% 52.01/7.66 | | | | | | | | |
% 52.01/7.66 | | | | | | | | End of split
% 52.01/7.66 | | | | | | | |
% 52.01/7.66 | | | | | | | Case 2:
% 52.01/7.66 | | | | | | | |
% 52.01/7.66 | | | | | | | | (355) ? [v0: $i] : (sdtasdt0(xr, v0) = xn &
% 52.01/7.66 | | | | | | | | aNaturalNumber0(v0) = 0 & $i(v0))
% 52.01/7.66 | | | | | | | |
% 52.01/7.66 | | | | | | | | DELTA: instantiating (355) with fresh symbol all_152_0 gives:
% 52.01/7.66 | | | | | | | | (356) sdtasdt0(xr, all_152_0) = xn &
% 52.01/7.66 | | | | | | | | aNaturalNumber0(all_152_0) = 0 & $i(all_152_0)
% 52.01/7.66 | | | | | | | |
% 52.01/7.66 | | | | | | | | ALPHA: (356) implies:
% 52.01/7.66 | | | | | | | | (357) $i(all_152_0)
% 52.01/7.66 | | | | | | | | (358) aNaturalNumber0(all_152_0) = 0
% 52.01/7.66 | | | | | | | | (359) sdtasdt0(xr, all_152_0) = xn
% 52.01/7.66 | | | | | | | |
% 52.01/7.66 | | | | | | | | BETA: splitting (102) gives:
% 52.01/7.66 | | | | | | | |
% 52.01/7.66 | | | | | | | | Case 1:
% 52.01/7.66 | | | | | | | | |
% 52.01/7.66 | | | | | | | | | (360) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xp) =
% 52.01/7.66 | | | | | | | | | v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~
% 52.01/7.66 | | | | | | | | | (v0 = 0)))
% 52.01/7.66 | | | | | | | | |
% 52.01/7.66 | | | | | | | | | DELTA: instantiating (360) with fresh symbols all_160_0,
% 52.01/7.66 | | | | | | | | | all_160_1 gives:
% 52.01/7.66 | | | | | | | | | (361) aNaturalNumber0(xp) = all_160_0 & aNaturalNumber0(xm)
% 52.01/7.66 | | | | | | | | | = all_160_1 & ( ~ (all_160_0 = 0) | ~ (all_160_1 =
% 52.01/7.66 | | | | | | | | | 0))
% 52.01/7.66 | | | | | | | | |
% 52.01/7.66 | | | | | | | | | ALPHA: (361) implies:
% 52.01/7.66 | | | | | | | | | (362) aNaturalNumber0(xm) = all_160_1
% 52.01/7.66 | | | | | | | | | (363) aNaturalNumber0(xp) = all_160_0
% 52.01/7.66 | | | | | | | | | (364) ~ (all_160_0 = 0) | ~ (all_160_1 = 0)
% 52.01/7.66 | | | | | | | | |
% 52.01/7.66 | | | | | | | | | BETA: splitting (141) gives:
% 52.01/7.66 | | | | | | | | |
% 52.01/7.66 | | | | | | | | | Case 1:
% 52.01/7.66 | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | (365) ~ (all_78_1 = 0)
% 52.01/7.66 | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | REDUCE: (212), (365) imply:
% 52.01/7.66 | | | | | | | | | | (366) $false
% 52.01/7.66 | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | CLOSE: (366) is inconsistent.
% 52.01/7.66 | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | Case 2:
% 52.01/7.66 | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | (367) ~ (all_78_2 = 0) | all_78_0 = 0
% 52.01/7.66 | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | BETA: splitting (367) gives:
% 52.01/7.66 | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | Case 1:
% 52.01/7.66 | | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | | (368) ~ (all_78_2 = 0)
% 52.01/7.66 | | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | | REDUCE: (205), (368) imply:
% 52.01/7.66 | | | | | | | | | | | (369) $false
% 52.01/7.66 | | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | | CLOSE: (369) is inconsistent.
% 52.01/7.66 | | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | Case 2:
% 52.01/7.66 | | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | | (370) all_78_0 = 0
% 52.01/7.66 | | | | | | | | | | |
% 52.01/7.66 | | | | | | | | | | | COMBINE_EQS: (283), (370) imply:
% 52.01/7.67 | | | | | | | | | | | (371) all_68_2 = 0
% 52.01/7.67 | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | SIMP: (371) implies:
% 52.01/7.67 | | | | | | | | | | | (372) all_68_2 = 0
% 52.01/7.67 | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | BETA: splitting (122) gives:
% 52.01/7.67 | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | Case 1:
% 52.01/7.67 | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | | (373) ~ (all_68_1 = 0)
% 52.01/7.67 | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | | REDUCE: (298), (373) imply:
% 52.01/7.67 | | | | | | | | | | | | (374) $false
% 52.01/7.67 | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | | CLOSE: (374) is inconsistent.
% 52.01/7.67 | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | Case 2:
% 52.01/7.67 | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | | (375) ~ (all_68_2 = 0) | all_68_0 = 0
% 52.01/7.67 | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | | BETA: splitting (375) gives:
% 52.01/7.67 | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | | Case 1:
% 52.01/7.67 | | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | | | (376) ~ (all_68_2 = 0)
% 52.01/7.67 | | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | | | REDUCE: (372), (376) imply:
% 52.01/7.67 | | | | | | | | | | | | | (377) $false
% 52.01/7.67 | | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | | | CLOSE: (377) is inconsistent.
% 52.01/7.67 | | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | | Case 2:
% 52.01/7.67 | | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_160_1, xm,
% 52.01/7.67 | | | | | | | | | | | | | simplifying with (7), (362) gives:
% 52.01/7.67 | | | | | | | | | | | | | (378) all_160_1 = 0
% 52.01/7.67 | | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_160_0, xp,
% 52.01/7.67 | | | | | | | | | | | | | simplifying with (8), (363) gives:
% 52.01/7.67 | | | | | | | | | | | | | (379) all_160_0 = 0
% 52.01/7.67 | | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | | | BETA: splitting (364) gives:
% 52.01/7.67 | | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | | | Case 1:
% 52.01/7.67 | | | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | | | | (380) ~ (all_160_0 = 0)
% 52.01/7.67 | | | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | | | | REDUCE: (379), (380) imply:
% 52.01/7.67 | | | | | | | | | | | | | | (381) $false
% 52.01/7.67 | | | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | | | | CLOSE: (381) is inconsistent.
% 52.01/7.67 | | | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | | | Case 2:
% 52.01/7.67 | | | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | | | | (382) ~ (all_160_1 = 0)
% 52.01/7.67 | | | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | | | | REDUCE: (378), (382) imply:
% 52.01/7.67 | | | | | | | | | | | | | | (383) $false
% 52.01/7.67 | | | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | | | | CLOSE: (383) is inconsistent.
% 52.01/7.67 | | | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | | | End of split
% 52.01/7.67 | | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | | End of split
% 52.01/7.67 | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | End of split
% 52.01/7.67 | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | End of split
% 52.01/7.67 | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | End of split
% 52.01/7.67 | | | | | | | | |
% 52.01/7.67 | | | | | | | | Case 2:
% 52.01/7.67 | | | | | | | | |
% 52.01/7.67 | | | | | | | | | (384) ? [v0: $i] : (sdtpldt0(xm, v0) = xp &
% 52.01/7.67 | | | | | | | | | aNaturalNumber0(v0) = 0 & $i(v0))
% 52.01/7.67 | | | | | | | | |
% 52.01/7.67 | | | | | | | | | DELTA: instantiating (384) with fresh symbol all_160_0 gives:
% 52.01/7.67 | | | | | | | | | (385) sdtpldt0(xm, all_160_0) = xp &
% 52.01/7.67 | | | | | | | | | aNaturalNumber0(all_160_0) = 0 & $i(all_160_0)
% 52.01/7.67 | | | | | | | | |
% 52.01/7.67 | | | | | | | | | ALPHA: (385) implies:
% 52.01/7.67 | | | | | | | | | (386) $i(all_160_0)
% 52.01/7.67 | | | | | | | | | (387) sdtpldt0(xm, all_160_0) = xp
% 52.01/7.67 | | | | | | | | |
% 52.01/7.67 | | | | | | | | | BETA: splitting (84) gives:
% 52.01/7.67 | | | | | | | | |
% 52.01/7.67 | | | | | | | | | Case 1:
% 52.01/7.67 | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | (388) xr = sz00
% 52.01/7.67 | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | REDUCE: (312), (388) imply:
% 52.01/7.67 | | | | | | | | | | (389) $false
% 52.01/7.67 | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | CLOSE: (389) is inconsistent.
% 52.01/7.67 | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | Case 2:
% 52.01/7.67 | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | (390) xr = sz10 | ? [v0: $i] : (isPrime0(v0) = 0 &
% 52.01/7.67 | | | | | | | | | | doDivides0(v0, xr) = 0 & aNaturalNumber0(v0) = 0
% 52.01/7.67 | | | | | | | | | | & $i(v0))
% 52.01/7.67 | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | BETA: splitting (151) gives:
% 52.01/7.67 | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | Case 1:
% 52.01/7.67 | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | (391) ~ (all_82_1 = 0)
% 52.01/7.67 | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | REDUCE: (301), (391) imply:
% 52.01/7.67 | | | | | | | | | | | (392) $false
% 52.01/7.67 | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | CLOSE: (392) is inconsistent.
% 52.01/7.67 | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | Case 2:
% 52.01/7.67 | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | (393) ~ (all_82_2 = 0) | all_82_0 = all_42_0
% 52.01/7.67 | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | BETA: splitting (111) gives:
% 52.01/7.67 | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | Case 1:
% 52.01/7.67 | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | | (394) xr = sz00
% 52.01/7.67 | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | | REDUCE: (312), (394) imply:
% 52.01/7.67 | | | | | | | | | | | | (395) $false
% 52.01/7.67 | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | | CLOSE: (395) is inconsistent.
% 52.01/7.67 | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | Case 2:
% 52.01/7.67 | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | | (396) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 52.01/7.67 | | | | | | | | | | | | (doDivides0(xr, xn) = v2 & aNaturalNumber0(xr) =
% 52.01/7.67 | | | | | | | | | | | | v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) |
% 52.01/7.67 | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0))) | ( ! [v0: any] :
% 52.01/7.67 | | | | | | | | | | | | (v0 = all_50_0 | ~ (sdtasdt0(xr, v0) = xn) | ~
% 52.01/7.67 | | | | | | | | | | | | $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 52.01/7.67 | | | | | | | | | | | | aNaturalNumber0(v0) = v1)) & ! [v0: $i] : (
% 52.01/7.67 | | | | | | | | | | | | ~ (sdtasdt0(xr, all_50_0) = v0) | ~
% 52.01/7.67 | | | | | | | | | | | | $i(all_50_0) | (v0 = xn &
% 52.01/7.67 | | | | | | | | | | | | aNaturalNumber0(all_50_0) = 0)))
% 52.01/7.67 | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | | BETA: splitting (110) gives:
% 52.01/7.67 | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | | Case 1:
% 52.01/7.67 | | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | | | (397) xr = sz00
% 52.01/7.67 | | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | | | REDUCE: (312), (397) imply:
% 52.01/7.67 | | | | | | | | | | | | | (398) $false
% 52.01/7.67 | | | | | | | | | | | | |
% 52.01/7.67 | | | | | | | | | | | | | CLOSE: (398) is inconsistent.
% 52.31/7.67 | | | | | | | | | | | | |
% 52.31/7.67 | | | | | | | | | | | | Case 2:
% 52.31/7.67 | | | | | | | | | | | | |
% 52.31/7.67 | | | | | | | | | | | | | (399) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 52.31/7.67 | | | | | | | | | | | | | (doDivides0(xr, xn) = v2 & aNaturalNumber0(xr) =
% 52.31/7.67 | | | | | | | | | | | | | v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) |
% 52.31/7.67 | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0))) | ! [v0: $i] : !
% 52.31/7.67 | | | | | | | | | | | | | [v1: $i] : ! [v2: $i] : ( ~ (sdtsldt0(v1, xr) =
% 52.31/7.67 | | | | | | | | | | | | | v2) | ~ (sdtasdt0(v0, xn) = v1) | ~ $i(v0) |
% 52.31/7.67 | | | | | | | | | | | | | ? [v3: any] : ? [v4: $i] : (sdtasdt0(v0,
% 52.31/7.67 | | | | | | | | | | | | | all_50_0) = v4 & aNaturalNumber0(v0) = v3 &
% 52.31/7.67 | | | | | | | | | | | | | $i(v4) & ( ~ (v3 = 0) | v4 = v2)))
% 52.31/7.67 | | | | | | | | | | | | |
% 52.31/7.67 | | | | | | | | | | | | | BETA: splitting (83) gives:
% 52.31/7.67 | | | | | | | | | | | | |
% 52.31/7.67 | | | | | | | | | | | | | Case 1:
% 52.31/7.67 | | | | | | | | | | | | | |
% 52.31/7.67 | | | | | | | | | | | | | | (400) xp = sz00
% 52.31/7.67 | | | | | | | | | | | | | |
% 52.31/7.67 | | | | | | | | | | | | | | REDUCE: (322), (400) imply:
% 52.31/7.67 | | | | | | | | | | | | | | (401) $false
% 52.31/7.67 | | | | | | | | | | | | | |
% 52.31/7.67 | | | | | | | | | | | | | | CLOSE: (401) is inconsistent.
% 52.31/7.67 | | | | | | | | | | | | | |
% 52.31/7.67 | | | | | | | | | | | | | Case 2:
% 52.31/7.67 | | | | | | | | | | | | | |
% 52.31/7.67 | | | | | | | | | | | | | | (402) xp = sz10 | ? [v0: $i] : (isPrime0(v0) = 0 &
% 52.31/7.67 | | | | | | | | | | | | | | doDivides0(v0, xp) = 0 & aNaturalNumber0(v0) = 0
% 52.31/7.67 | | | | | | | | | | | | | | & $i(v0))
% 52.31/7.67 | | | | | | | | | | | | | |
% 52.31/7.67 | | | | | | | | | | | | | | BETA: splitting (326) gives:
% 52.31/7.67 | | | | | | | | | | | | | |
% 52.31/7.67 | | | | | | | | | | | | | | Case 1:
% 52.31/7.67 | | | | | | | | | | | | | | |
% 52.31/7.67 | | | | | | | | | | | | | | | (403) ~ (all_88_2 = 0)
% 52.31/7.67 | | | | | | | | | | | | | | |
% 52.31/7.67 | | | | | | | | | | | | | | | REDUCE: (302), (403) imply:
% 52.31/7.67 | | | | | | | | | | | | | | | (404) $false
% 52.31/7.67 | | | | | | | | | | | | | | |
% 52.31/7.67 | | | | | | | | | | | | | | | CLOSE: (404) is inconsistent.
% 52.31/7.67 | | | | | | | | | | | | | | |
% 52.31/7.67 | | | | | | | | | | | | | | Case 2:
% 52.31/7.67 | | | | | | | | | | | | | | |
% 52.31/7.67 | | | | | | | | | | | | | | | (405) all_88_0 = all_54_1
% 52.31/7.67 | | | | | | | | | | | | | | |
% 52.31/7.67 | | | | | | | | | | | | | | | REDUCE: (164), (405) imply:
% 52.31/7.67 | | | | | | | | | | | | | | | (406) sdtpldt0(xm, xn) = all_54_1
% 52.31/7.67 | | | | | | | | | | | | | | |
% 52.31/7.67 | | | | | | | | | | | | | | | BETA: splitting (396) gives:
% 52.31/7.67 | | | | | | | | | | | | | | |
% 52.31/7.67 | | | | | | | | | | | | | | | Case 1:
% 52.31/7.67 | | | | | | | | | | | | | | | |
% 52.31/7.67 | | | | | | | | | | | | | | | | (407) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 52.31/7.67 | | | | | | | | | | | | | | | | (doDivides0(xr, xn) = v2 & aNaturalNumber0(xr) =
% 52.31/7.67 | | | | | | | | | | | | | | | | v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) |
% 52.31/7.67 | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 52.31/7.67 | | | | | | | | | | | | | | | |
% 52.31/7.67 | | | | | | | | | | | | | | | | DELTA: instantiating (407) with fresh symbols all_193_0,
% 52.31/7.67 | | | | | | | | | | | | | | | | all_193_1, all_193_2 gives:
% 52.31/7.67 | | | | | | | | | | | | | | | | (408) doDivides0(xr, xn) = all_193_0 &
% 52.31/7.67 | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_193_2 &
% 52.31/7.67 | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = all_193_1 & ( ~ (all_193_0 =
% 52.31/7.67 | | | | | | | | | | | | | | | | 0) | ~ (all_193_1 = 0) | ~ (all_193_2 = 0))
% 52.31/7.67 | | | | | | | | | | | | | | | |
% 52.31/7.67 | | | | | | | | | | | | | | | | ALPHA: (408) implies:
% 52.31/7.67 | | | | | | | | | | | | | | | | (409) aNaturalNumber0(xn) = all_193_1
% 52.31/7.67 | | | | | | | | | | | | | | | | (410) aNaturalNumber0(xr) = all_193_2
% 52.31/7.67 | | | | | | | | | | | | | | | | (411) doDivides0(xr, xn) = all_193_0
% 52.31/7.67 | | | | | | | | | | | | | | | | (412) ~ (all_193_0 = 0) | ~ (all_193_1 = 0) | ~
% 52.31/7.67 | | | | | | | | | | | | | | | | (all_193_2 = 0)
% 52.31/7.67 | | | | | | | | | | | | | | | |
% 52.31/7.67 | | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 52.31/7.67 | | | | | | | | | | | | | | | |
% 52.31/7.67 | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.67 | | | | | | | | | | | | | | | | |
% 52.31/7.67 | | | | | | | | | | | | | | | | | (413) ~ (all_82_2 = 0)
% 52.31/7.67 | | | | | | | | | | | | | | | | |
% 52.31/7.67 | | | | | | | | | | | | | | | | | REDUCE: (300), (413) imply:
% 52.31/7.67 | | | | | | | | | | | | | | | | | (414) $false
% 52.31/7.67 | | | | | | | | | | | | | | | | |
% 52.31/7.67 | | | | | | | | | | | | | | | | | CLOSE: (414) is inconsistent.
% 52.31/7.67 | | | | | | | | | | | | | | | | |
% 52.31/7.67 | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.67 | | | | | | | | | | | | | | | | |
% 52.31/7.67 | | | | | | | | | | | | | | | | |
% 52.31/7.67 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_193_1, xn,
% 52.31/7.67 | | | | | | | | | | | | | | | | | simplifying with (6), (409) gives:
% 52.31/7.67 | | | | | | | | | | | | | | | | | (415) all_193_1 = 0
% 52.31/7.67 | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_193_2, xr,
% 52.31/7.68 | | | | | | | | | | | | | | | | | simplifying with (15), (410) gives:
% 52.31/7.68 | | | | | | | | | | | | | | | | | (416) all_193_2 = 0
% 52.31/7.68 | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with 0, all_193_0, xn, xr,
% 52.31/7.68 | | | | | | | | | | | | | | | | | simplifying with (22), (411) gives:
% 52.31/7.68 | | | | | | | | | | | | | | | | | (417) all_193_0 = 0
% 52.31/7.68 | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | BETA: splitting (412) gives:
% 52.31/7.68 | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.68 | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | (418) ~ (all_193_0 = 0)
% 52.31/7.68 | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | REDUCE: (417), (418) imply:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | (419) $false
% 52.31/7.68 | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | CLOSE: (419) is inconsistent.
% 52.31/7.68 | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.68 | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | (420) ~ (all_193_1 = 0) | ~ (all_193_2 = 0)
% 52.31/7.68 | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | BETA: splitting (420) gives:
% 52.31/7.68 | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | (421) ~ (all_193_1 = 0)
% 52.31/7.68 | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | REDUCE: (415), (421) imply:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | (422) $false
% 52.31/7.68 | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | CLOSE: (422) is inconsistent.
% 52.31/7.68 | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | (423) ~ (all_193_2 = 0)
% 52.31/7.68 | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | REDUCE: (416), (423) imply:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | (424) $false
% 52.31/7.68 | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | CLOSE: (424) is inconsistent.
% 52.31/7.68 | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | End of split
% 52.31/7.68 | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | End of split
% 52.31/7.68 | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | End of split
% 52.31/7.68 | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | Case 2:
% 52.31/7.68 | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | (425) ! [v0: any] : (v0 = all_50_0 | ~ (sdtasdt0(xr,
% 52.31/7.68 | | | | | | | | | | | | | | | | v0) = xn) | ~ $i(v0) | ? [v1: int] : ( ~
% 52.31/7.68 | | | | | | | | | | | | | | | | (v1 = 0) & aNaturalNumber0(v0) = v1)) & !
% 52.31/7.68 | | | | | | | | | | | | | | | | [v0: $i] : ( ~ (sdtasdt0(xr, all_50_0) = v0) | ~
% 52.31/7.68 | | | | | | | | | | | | | | | | $i(all_50_0) | (v0 = xn &
% 52.31/7.68 | | | | | | | | | | | | | | | | aNaturalNumber0(all_50_0) = 0))
% 52.31/7.68 | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | ALPHA: (425) implies:
% 52.31/7.68 | | | | | | | | | | | | | | | | (426) ! [v0: any] : (v0 = all_50_0 | ~ (sdtasdt0(xr,
% 52.31/7.68 | | | | | | | | | | | | | | | | v0) = xn) | ~ $i(v0) | ? [v1: int] : ( ~
% 52.31/7.68 | | | | | | | | | | | | | | | | (v1 = 0) & aNaturalNumber0(v0) = v1))
% 52.31/7.68 | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | BETA: splitting (399) gives:
% 52.31/7.68 | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.68 | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | (427) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 52.31/7.68 | | | | | | | | | | | | | | | | | (doDivides0(xr, xn) = v2 & aNaturalNumber0(xr) =
% 52.31/7.68 | | | | | | | | | | | | | | | | | v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) |
% 52.31/7.68 | | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 52.31/7.68 | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | DELTA: instantiating (427) with fresh symbols all_193_0,
% 52.31/7.68 | | | | | | | | | | | | | | | | | all_193_1, all_193_2 gives:
% 52.31/7.68 | | | | | | | | | | | | | | | | | (428) doDivides0(xr, xn) = all_193_0 &
% 52.31/7.68 | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_193_2 &
% 52.31/7.68 | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = all_193_1 & ( ~ (all_193_0 =
% 52.31/7.68 | | | | | | | | | | | | | | | | | 0) | ~ (all_193_1 = 0) | ~ (all_193_2 = 0))
% 52.31/7.68 | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | ALPHA: (428) implies:
% 52.31/7.68 | | | | | | | | | | | | | | | | | (429) aNaturalNumber0(xn) = all_193_1
% 52.31/7.68 | | | | | | | | | | | | | | | | | (430) aNaturalNumber0(xr) = all_193_2
% 52.31/7.68 | | | | | | | | | | | | | | | | | (431) doDivides0(xr, xn) = all_193_0
% 52.31/7.68 | | | | | | | | | | | | | | | | | (432) ~ (all_193_0 = 0) | ~ (all_193_1 = 0) | ~
% 52.31/7.68 | | | | | | | | | | | | | | | | | (all_193_2 = 0)
% 52.31/7.68 | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | BETA: splitting (141) gives:
% 52.31/7.68 | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.68 | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | (433) ~ (all_78_1 = 0)
% 52.31/7.68 | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | REDUCE: (212), (433) imply:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | (434) $false
% 52.31/7.68 | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | CLOSE: (434) is inconsistent.
% 52.31/7.68 | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.68 | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | (435) ~ (all_78_2 = 0) | all_78_0 = 0
% 52.31/7.68 | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | BETA: splitting (435) gives:
% 52.31/7.68 | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | (436) ~ (all_78_2 = 0)
% 52.31/7.68 | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | REDUCE: (205), (436) imply:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | (437) $false
% 52.31/7.68 | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | CLOSE: (437) is inconsistent.
% 52.31/7.68 | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | (438) all_78_0 = 0
% 52.31/7.68 | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (438) imply:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | (439) all_68_2 = 0
% 52.31/7.68 | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | SIMP: (439) implies:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | (440) all_68_2 = 0
% 52.31/7.68 | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (240), (440) imply:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | (441) all_86_2 = 0
% 52.31/7.68 | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | (442) ~ (all_86_1 = 0)
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | REDUCE: (271), (442) imply:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | (443) $false
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | CLOSE: (443) is inconsistent.
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | (444) ~ (all_86_2 = 0) | all_86_0 = all_54_0
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | BETA: splitting (444) gives:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | (445) ~ (all_86_2 = 0)
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | REDUCE: (441), (445) imply:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | (446) $false
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | CLOSE: (446) is inconsistent.
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_193_1, xn,
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | simplifying with (6), (429) gives:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | (447) all_193_1 = 0
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_193_2, xr,
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | simplifying with (15), (430) gives:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | (448) all_193_2 = 0
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with 0, all_193_0, xn, xr,
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | simplifying with (22), (431) gives:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | (449) all_193_0 = 0
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (432) gives:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | (450) ~ (all_193_0 = 0)
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (449), (450) imply:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | (451) $false
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (451) is inconsistent.
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | (452) ~ (all_193_1 = 0) | ~ (all_193_2 = 0)
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (452) gives:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | | (453) ~ (all_193_1 = 0)
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (447), (453) imply:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | | (454) $false
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (454) is inconsistent.
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | | (455) ~ (all_193_2 = 0)
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (448), (455) imply:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | | (456) $false
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (456) is inconsistent.
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | End of split
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | | End of split
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | End of split
% 52.31/7.68 | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | End of split
% 52.31/7.68 | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | End of split
% 52.31/7.68 | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.68 | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | (457) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 52.31/7.68 | | | | | | | | | | | | | | | | | (sdtsldt0(v1, xr) = v2) | ~ (sdtasdt0(v0, xn) =
% 52.31/7.68 | | | | | | | | | | | | | | | | | v1) | ~ $i(v0) | ? [v3: any] : ? [v4: $i] :
% 52.31/7.68 | | | | | | | | | | | | | | | | | (sdtasdt0(v0, all_50_0) = v4 &
% 52.31/7.68 | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = v3 & $i(v4) & ( ~ (v3 =
% 52.31/7.68 | | | | | | | | | | | | | | | | | 0) | v4 = v2)))
% 52.31/7.68 | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | BETA: splitting (402) gives:
% 52.31/7.68 | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.68 | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | (458) xp = sz10
% 52.31/7.68 | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | REDUCE: (323), (458) imply:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | (459) $false
% 52.31/7.68 | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | CLOSE: (459) is inconsistent.
% 52.31/7.68 | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.68 | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | (460) ? [v0: $i] : (isPrime0(v0) = 0 & doDivides0(v0,
% 52.31/7.68 | | | | | | | | | | | | | | | | | | xp) = 0 & aNaturalNumber0(v0) = 0 & $i(v0))
% 52.31/7.68 | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | DELTA: instantiating (460) with fresh symbol all_196_0
% 52.31/7.68 | | | | | | | | | | | | | | | | | | gives:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | (461) isPrime0(all_196_0) = 0 & doDivides0(all_196_0,
% 52.31/7.68 | | | | | | | | | | | | | | | | | | xp) = 0 & aNaturalNumber0(all_196_0) = 0 &
% 52.31/7.68 | | | | | | | | | | | | | | | | | | $i(all_196_0)
% 52.31/7.68 | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | ALPHA: (461) implies:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | (462) $i(all_196_0)
% 52.31/7.68 | | | | | | | | | | | | | | | | | | (463) doDivides0(all_196_0, xp) = 0
% 52.31/7.68 | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | BETA: splitting (141) gives:
% 52.31/7.68 | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.68 | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | (464) ~ (all_78_1 = 0)
% 52.31/7.68 | | | | | | | | | | | | | | | | | | |
% 52.31/7.68 | | | | | | | | | | | | | | | | | | | REDUCE: (212), (464) imply:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | (465) $false
% 52.31/7.69 | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | CLOSE: (465) is inconsistent.
% 52.31/7.69 | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | (466) ~ (all_78_2 = 0) | all_78_0 = 0
% 52.31/7.69 | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | (467) ~ (all_76_2 = 0)
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | REDUCE: (295), (467) imply:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | (468) $false
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | CLOSE: (468) is inconsistent.
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | (469) all_76_0 = 0
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (469) imply:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | (470) aNaturalNumber0(all_42_0) = 0
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | BETA: splitting (112) gives:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | (471) xp = sz00
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | REDUCE: (322), (471) imply:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | (472) $false
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | CLOSE: (472) is inconsistent.
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | (473) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | (doDivides0(xp, all_42_0) = v2 &
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_42_0) = v1 &
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v0 & ( ~ (v2 = 0) | ~ (v1
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | = 0) | ~ (v0 = 0))) | ( ! [v0: $i] : (v0 =
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | xk | ~ (sdtasdt0(xp, v0) = all_42_0) | ~
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = v1)) & ! [v0: $i] : (
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | ~ (sdtasdt0(xp, xk) = v0) | ~ $i(xk) | (v0 =
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | all_42_0 & aNaturalNumber0(xk) = 0)))
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (109) gives:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | (474) ? [v0: any] : ? [v1: any] :
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_42_0) = v1 &
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v0 & ( ~ (v1 = 0) | ~ (v0
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | = 0)))
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (474) with fresh symbols all_226_0,
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | all_226_1 gives:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | (475) aNaturalNumber0(all_42_0) = all_226_0 &
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_226_1 & ( ~ (all_226_0 =
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_226_1 = 0))
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (475) implies:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | (476) aNaturalNumber0(xr) = all_226_1
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | (477) aNaturalNumber0(all_42_0) = all_226_0
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | (478) ~ (all_226_0 = 0) | ~ (all_226_1 = 0)
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_226_1, xr,
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | simplifying with (15), (476) gives:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | (479) all_226_1 = 0
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_226_0, all_42_0,
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | simplifying with (470), (477) gives:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | (480) all_226_0 = 0
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (478) gives:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | (481) ~ (all_226_0 = 0)
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (480), (481) imply:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | (482) $false
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (482) is inconsistent.
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | (483) ~ (all_226_1 = 0)
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (479), (483) imply:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | (484) $false
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (484) is inconsistent.
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | (485) ? [v0: $i] : (sdtasdt0(xr, v0) = all_42_0 &
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = 0 & $i(v0))
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (485) with fresh symbol all_226_0
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | gives:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | (486) sdtasdt0(xr, all_226_0) = all_42_0 &
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_226_0) = 0 & $i(all_226_0)
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (486) implies:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | (487) $i(all_226_0)
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | (488) sdtasdt0(xr, all_226_0) = all_42_0
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (466) gives:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | (489) ~ (all_78_2 = 0)
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (205), (489) imply:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | (490) $false
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (490) is inconsistent.
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | (491) all_78_0 = 0
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (491) imply:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | (492) all_68_2 = 0
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (492) implies:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | (493) all_68_2 = 0
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (240), (493) imply:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | (494) all_86_2 = 0
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | (495) ~ (all_86_1 = 0)
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (271), (495) imply:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | (496) $false
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (496) is inconsistent.
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | (497) ~ (all_86_2 = 0) | all_86_0 = all_54_0
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (497) gives:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | (498) ~ (all_86_2 = 0)
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (498) imply:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | (499) $false
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (499) is inconsistent.
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | (500) all_86_0 = all_54_0
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (500) imply:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | (501) sdtpldt0(xp, all_54_1) = all_54_0
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (502) ~ (all_82_2 = 0)
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (300), (502) imply:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (503) $false
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (503) is inconsistent.
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (504) all_82_0 = all_42_0
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (504) imply:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (505) sdtasdt0(xm, xn) = all_42_0
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (390) gives:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (506) xr = sz10
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (313), (506) imply:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (507) $false
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (507) is inconsistent.
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (508) ? [v0: $i] : (isPrime0(v0) = 0 & doDivides0(v0,
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | xr) = 0 & aNaturalNumber0(v0) = 0 & $i(v0))
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (508) with fresh symbol all_254_0
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (509) isPrime0(all_254_0) = 0 & doDivides0(all_254_0,
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | xr) = 0 & aNaturalNumber0(all_254_0) = 0 &
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_254_0)
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (509) implies:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (510) $i(all_254_0)
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (511) aNaturalNumber0(all_254_0) = 0
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (512) doDivides0(all_254_0, xr) = 0
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (513) isPrime0(all_254_0) = 0
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with 0, all_98_3, all_42_0, xp,
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (79), (304) gives:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (514) all_98_3 = 0
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (473) gives:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (515) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (doDivides0(xp, all_42_0) = v2 &
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_42_0) = v1 &
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v0 & ( ~ (v2 = 0) | ~ (v1
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | ~ (v0 = 0)))
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (515) with fresh symbols all_279_0,
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_279_1, all_279_2 gives:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (516) doDivides0(xp, all_42_0) = all_279_0 &
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_42_0) = all_279_1 &
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_279_2 & ( ~ (all_279_0 =
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_279_1 = 0) | ~ (all_279_2 = 0))
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (516) implies:
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (517) aNaturalNumber0(xp) = all_279_2
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (518) aNaturalNumber0(all_42_0) = all_279_1
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (519) doDivides0(xp, all_42_0) = all_279_0
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (515) with fresh symbols all_281_0,
% 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_281_1, all_281_2 gives:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (520) doDivides0(xp, all_42_0) = all_281_0 &
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_42_0) = all_281_1 &
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_281_2 & ( ~ (all_281_0 =
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_281_1 = 0) | ~ (all_281_2 = 0))
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (520) implies:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (521) aNaturalNumber0(xp) = all_281_2
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (522) aNaturalNumber0(all_42_0) = all_281_1
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (523) doDivides0(xp, all_42_0) = all_281_0
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (524) ~ (all_281_0 = 0) | ~ (all_281_1 = 0) | ~
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_281_2 = 0)
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_281_2, xp,
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (521) gives:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (525) all_281_2 = 0
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_279_2, all_281_2, xp,
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (517), (521) gives:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (526) all_281_2 = all_279_2
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_281_1, all_42_0,
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (470), (522) gives:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (527) all_281_1 = 0
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_279_1, all_281_1,
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_0, simplifying with (518), (522) gives:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (528) all_281_1 = all_279_1
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with 0, all_281_0, all_42_0,
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | xp, simplifying with (79), (523) gives:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (529) all_281_0 = 0
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_279_0, all_281_0,
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_0, xp, simplifying with (519), (523) gives:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (530) all_281_0 = all_279_0
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (529), (530) imply:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (531) all_279_0 = 0
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (527), (528) imply:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (532) all_279_1 = 0
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (526) imply:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (533) all_279_2 = 0
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (524) gives:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (534) ~ (all_281_0 = 0)
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (529), (534) imply:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (535) $false
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (535) is inconsistent.
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (536) ~ (all_281_1 = 0) | ~ (all_281_2 = 0)
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (536) gives:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (537) ~ (all_281_1 = 0)
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (527), (537) imply:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (538) $false
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (538) is inconsistent.
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (539) ~ (all_281_2 = 0)
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (525), (539) imply:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (540) $false
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (540) is inconsistent.
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (541) ! [v0: $i] : (v0 = xk | ~ (sdtasdt0(xp, v0) =
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) & aNaturalNumber0(v0) = v1)) & ! [v0:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i] : ( ~ (sdtasdt0(xp, xk) = v0) | ~ $i(xk) |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = all_42_0 & aNaturalNumber0(xk) = 0))
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (541) implies:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (542) ! [v0: $i] : ( ~ (sdtasdt0(xp, xk) = v0) | ~
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(xk) | (v0 = all_42_0 & aNaturalNumber0(xk) =
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0))
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (542) with all_52_2, simplifying
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | with (27), (58) gives:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (543) all_52_2 = all_42_0 & aNaturalNumber0(xk) = 0
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (543) implies:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (544) all_52_2 = all_42_0
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (545) aNaturalNumber0(xk) = 0
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (544) imply:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (546) sdtsldt0(all_42_0, xr) = all_52_1
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (544) imply:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (547) aNaturalNumber0(all_42_0) = all_74_0
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_74_1, 0, xk,
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (130), (545) gives:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (548) all_74_1 = 0
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_74_0, all_42_0,
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (470), (547) gives:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (549) all_74_0 = 0
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (548) imply:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (550) all_92_1 = 0
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (174) gives:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (551) ~ (all_92_1 = 0)
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (550), (551) imply:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (552) $false
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (552) is inconsistent.
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (553) ~ (all_92_2 = 0) | all_92_0 = all_52_2
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (104) gives:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (554) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xk)
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0)))
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (554) with fresh symbols all_302_0,
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_302_1 gives:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (555) aNaturalNumber0(xk) = all_302_1 &
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_302_0 & ( ~ (all_302_0 =
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_302_1 = 0))
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (555) implies:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (556) aNaturalNumber0(xp) = all_302_0
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (557) aNaturalNumber0(xk) = all_302_1
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (558) ~ (all_302_0 = 0) | ~ (all_302_1 = 0)
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (113) gives:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (559) xr = sz00
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (312), (559) imply:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (560) $false
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (560) is inconsistent.
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_302_0, xp,
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (556) gives:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (561) all_302_0 = 0
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_302_1, xk,
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (545), (557) gives:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562) all_302_1 = 0
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (558) gives:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (563) ~ (all_302_0 = 0)
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (561), (563) imply:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (564) $false
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (564) is inconsistent.
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (565) ~ (all_302_1 = 0)
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (565) imply:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (566) $false
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (566) is inconsistent.
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (567) ? [v0: $i] : (sdtpldt0(xk, v0) = xp &
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = 0 & $i(v0))
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (567) with fresh symbol all_302_0
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (568) sdtpldt0(xk, all_302_0) = xp &
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_302_0) = 0 & $i(all_302_0)
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (568) implies:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (569) $i(all_302_0)
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (570) sdtpldt0(xk, all_302_0) = xp
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (553) gives:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (571) ~ (all_92_2 = 0)
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (251), (571) imply:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (572) $false
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (572) is inconsistent.
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (573) all_92_0 = all_52_2
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (573) imply:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (574) all_92_0 = all_42_0
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (173), (574) imply:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (575) sdtasdt0(xk, xp) = all_42_0
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (105) gives:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (576) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xr)
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v0 & aNaturalNumber0(xk) = v1 & ( ~ (v1 = 0) |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0)))
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (576) with fresh symbols all_310_0,
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_310_1 gives:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (577) aNaturalNumber0(xr) = all_310_1 &
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xk) = all_310_0 & ( ~ (all_310_0 =
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_310_1 = 0))
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (577) implies:
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (578) aNaturalNumber0(xk) = all_310_0
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (579) aNaturalNumber0(xr) = all_310_1
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (580) ~ (all_310_0 = 0) | ~ (all_310_1 = 0)
% 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_310_0, xk,
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (545), (578) gives:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (581) all_310_0 = 0
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_310_1, xr,
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (15), (579) gives:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (582) all_310_1 = 0
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (580) gives:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (583) ~ (all_310_0 = 0)
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (583) imply:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (584) $false
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (584) is inconsistent.
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (585) ~ (all_310_1 = 0)
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (585) imply:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (586) $false
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (586) is inconsistent.
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (587) ? [v0: $i] : (sdtpldt0(xr, v0) = xk &
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = 0 & $i(v0))
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (587) with fresh symbol all_310_0
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (588) sdtpldt0(xr, all_310_0) = xk &
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_310_0) = 0 & $i(all_310_0)
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (588) implies:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (589) $i(all_310_0)
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (590) sdtpldt0(xr, all_310_0) = xk
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (113) gives:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (591) xr = sz00
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (312), (591) imply:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (592) $false
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (592) is inconsistent.
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (593) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (doDivides0(xr, all_52_2) = v2 &
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_52_2) = v1 &
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v0 & ( ~ (v2 = 0) | ~ (v1
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | ~ (v0 = 0))) | ( ! [v0: any] : (v0 =
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_1 | ~ (sdtasdt0(xr, v0) = all_52_2) |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = v1)) & ! [v0: $i] : (
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (sdtasdt0(xr, all_52_1) = v0) | ~
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) | (v0 = all_52_2 &
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_52_1) = 0)))
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (108) gives:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (594) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xr)
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v0 & aNaturalNumber0(xk) = v1 & ( ~ (v1 = 0) |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0)))
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (594) with fresh symbols all_318_0,
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_318_1 gives:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (595) aNaturalNumber0(xr) = all_318_1 &
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xk) = all_318_0 & ( ~ (all_318_0 =
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_318_1 = 0))
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (595) implies:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (596) aNaturalNumber0(xk) = all_318_0
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (597) aNaturalNumber0(xr) = all_318_1
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (598) ~ (all_318_0 = 0) | ~ (all_318_1 = 0)
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_318_0, xk,
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (545), (596) gives:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (599) all_318_0 = 0
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_318_1, xr,
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (15), (597) gives:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (600) all_318_1 = 0
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (598) gives:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (601) ~ (all_318_0 = 0)
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (599), (601) imply:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (602) $false
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (602) is inconsistent.
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (603) ~ (all_318_1 = 0)
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (600), (603) imply:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (604) $false
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (604) is inconsistent.
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (605) ? [v0: $i] : (sdtasdt0(xr, v0) = xk &
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = 0 & $i(v0))
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (605) with fresh symbol all_318_0
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (606) sdtasdt0(xr, all_318_0) = xk &
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_318_0) = 0 & $i(all_318_0)
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (606) implies:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (607) $i(all_318_0)
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (608) sdtasdt0(xr, all_318_0) = xk
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (593) gives:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (609) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (doDivides0(xr, all_52_2) = v2 &
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_52_2) = v1 &
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v0 & ( ~ (v2 = 0) | ~ (v1
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | ~ (v0 = 0)))
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (609) with fresh symbols all_324_0,
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_324_1, all_324_2 gives:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (610) doDivides0(xr, all_52_2) = all_324_0 &
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_52_2) = all_324_1 &
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_324_2 & ( ~ (all_324_0 =
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_324_1 = 0) | ~ (all_324_2 = 0))
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (610) implies:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (611) aNaturalNumber0(xr) = all_324_2
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (612) aNaturalNumber0(all_52_2) = all_324_1
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (613) doDivides0(xr, all_52_2) = all_324_0
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (614) ~ (all_324_0 = 0) | ~ (all_324_1 = 0) | ~
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_324_2 = 0)
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (609) with fresh symbols all_326_0,
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_326_1, all_326_2 gives:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (615) doDivides0(xr, all_52_2) = all_326_0 &
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_52_2) = all_326_1 &
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_326_2 & ( ~ (all_326_0 =
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_326_1 = 0) | ~ (all_326_2 = 0))
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (615) implies:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (616) aNaturalNumber0(xr) = all_326_2
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (617) aNaturalNumber0(all_52_2) = all_326_1
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (618) doDivides0(xr, all_52_2) = all_326_0
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (618) imply:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (619) doDivides0(xr, all_42_0) = all_326_0
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (613) imply:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (620) doDivides0(xr, all_42_0) = all_324_0
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (617) imply:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (621) aNaturalNumber0(all_42_0) = all_326_1
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (612) imply:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (622) aNaturalNumber0(all_42_0) = all_324_1
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_326_2, xr,
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (15), (616) gives:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (623) all_326_2 = 0
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_324_2, all_326_2, xr,
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (611), (616) gives:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (624) all_326_2 = all_324_2
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_326_1, all_42_0,
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (470), (621) gives:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (625) all_326_1 = 0
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_324_1, all_326_1,
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_0, simplifying with (621), (622) gives:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (626) all_326_1 = all_324_1
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with 0, all_326_0, all_42_0,
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xr, simplifying with (78), (619) gives:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (627) all_326_0 = 0
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_324_0, all_326_0,
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_0, xr, simplifying with (619), (620) gives:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (628) all_326_0 = all_324_0
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (627), (628) imply:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (629) all_324_0 = 0
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (625), (626) imply:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (630) all_324_1 = 0
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (623), (624) imply:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (631) all_324_2 = 0
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (614) gives:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (632) ~ (all_324_0 = 0)
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (632) imply:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (633) $false
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (633) is inconsistent.
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (634) ~ (all_324_1 = 0) | ~ (all_324_2 = 0)
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (634) gives:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (635) ~ (all_324_1 = 0)
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (630), (635) imply:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (636) $false
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (636) is inconsistent.
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (637) ~ (all_324_2 = 0)
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (637) imply:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (638) $false
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (638) is inconsistent.
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (639) ! [v0: any] : (v0 = all_52_1 | ~ (sdtasdt0(xr,
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v0) = all_52_2) | ~ $i(v0) | ? [v1: int] :
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1)) & !
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v0: $i] : ( ~ (sdtasdt0(xr, all_52_1) = v0) | ~
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) | (v0 = all_52_2 &
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_52_1) = 0))
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (639) implies:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (640) ! [v0: $i] : ( ~ (sdtasdt0(xr, all_52_1) = v0) |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ $i(all_52_1) | (v0 = all_52_2 &
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_52_1) = 0))
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with xk, simplifying with (27),
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (545) gives:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (641) xk = sz10 | xk = sz00 | ? [v0: $i] :
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (isPrime0(v0) = 0 & doDivides0(v0, xk) = 0 &
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = 0 & $i(v0))
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (69) with xm, xn, xp, all_54_1,
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_54_0, simplifying with (24), (25), (26), (68),
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (406) gives:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (642) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: $i] : ? [v5: any] : ? [v6:
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v7: any] : ? [v8: any] :
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (isPrime0(xp) = v3 & doDivides0(xp, v4) = v5 &
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | doDivides0(xp, xm) = v7 & doDivides0(xp, xn) =
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v8 & iLess0(all_54_0, all_54_0) = v6 &
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(xm, xn) = v4 & aNaturalNumber0(xp) = v2
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & aNaturalNumber0(xm) = v0 & aNaturalNumber0(xn)
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v1 & $i(v4) & ( ~ (v6 = 0) | ~ (v5 = 0) | ~
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | v8 = 0 | v7 = 0))
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddAsso) with xm, xn, xp,
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_54_1, all_54_0, simplifying with (24), (25),
% 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (26), (68), (406) gives:
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (643) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtpldt0(xm, v3) = v4 &
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtpldt0(xn, xp) = v3 & aNaturalNumber0(xp) = v2
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & aNaturalNumber0(xm) = v0 & aNaturalNumber0(xn)
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v1 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 =
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v4 = all_54_0))
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddComm) with xm, xp, all_96_1,
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (25), (26), (186) gives:
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (644) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtpldt0(xp, xm) = v2 & aNaturalNumber0(xp) = v1
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & aNaturalNumber0(xm) = v0 & $i(v2) & ( ~ (v1 =
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v2 = all_96_1))
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB) with xm, xp, all_96_1,
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (25), (26), (186) gives:
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (645) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_96_1) = v2 &
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v1 & aNaturalNumber0(xm) =
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddComm) with xm, all_160_0, xp,
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (25), (386), (387) gives:
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (646) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtpldt0(all_160_0, xm) = v2 &
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_160_0) = v1 &
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = v0 & $i(v2) & ( ~ (v1 = 0)
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = xp))
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (69) with xm, all_160_0, all_54_1,
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xp, all_54_0, simplifying with (25), (66), (386),
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387), (501) gives:
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (647) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: $i] : ? [v5: any] : ? [v6:
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v7: any] : ? [v8: any] :
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (isPrime0(all_54_1) = v3 & doDivides0(all_54_1,
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v4) = v5 & doDivides0(all_54_1, all_160_0) =
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v8 & doDivides0(all_54_1, xm) = v7 &
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | iLess0(all_54_0, all_54_0) = v6 & sdtasdt0(xm,
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_160_0) = v4 & aNaturalNumber0(all_160_0) =
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v1 & aNaturalNumber0(all_54_1) = v2 &
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = v0 & $i(v4) & ( ~ (v6 = 0)
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v5 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v8 = 0 | v7 = 0))
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddAsso) with xm, all_160_0,
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_54_1, xp, all_54_0, simplifying with (25),
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (66), (386), (387), (501) gives:
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (648) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtpldt0(all_160_0,
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_54_1) = v3 & sdtpldt0(xm, v3) = v4 &
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_160_0) = v1 &
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_54_1) = v2 &
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = v0 & $i(v4) & $i(v3) & ( ~
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 =
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_54_0))
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mDivMin) with xr, xr, all_310_0,
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xk, simplifying with (16), (28), (589), (590)
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (649) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : (doDivides0(xr,
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_310_0) = v4 & doDivides0(xr, xr) = v3 &
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_310_0) = v2 &
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v1 & aNaturalNumber0(xr) =
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) |
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v4 = 0))
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (69) with xr, all_310_0, all_302_0,
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xk, xp, simplifying with (28), (569), (570),
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (589), (590) gives:
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (650) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: $i] : ? [v5: any] : ? [v6:
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v7: any] : ? [v8: any] :
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (isPrime0(all_302_0) = v3 & doDivides0(all_302_0,
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v4) = v5 & doDivides0(all_302_0, all_310_0) =
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v8 & doDivides0(all_302_0, xr) = v7 & iLess0(xp,
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_54_0) = v6 & sdtasdt0(xr, all_310_0) = v4
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & aNaturalNumber0(all_310_0) = v1 &
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_302_0) = v2 &
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v0 & $i(v4) & ( ~ (v6 = 0)
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v5 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v8 = 0 | v7 = 0))
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddAsso) with xr, all_310_0,
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_302_0, xk, xp, simplifying with (28), (569),
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (570), (589), (590) gives:
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (651) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtpldt0(all_310_0,
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_302_0) = v3 & sdtpldt0(xr, v3) = v4 &
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_310_0) = v1 &
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_302_0) = v2 &
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v0 & $i(v4) & $i(v3) & ( ~
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 =
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xp))
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddComm) with xr, all_310_0, xk,
% 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (28), (589), (590) gives:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (652) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtpldt0(all_310_0, xr) = v2 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_310_0) = v1 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v0 & $i(v2) & ( ~ (v1 = 0)
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = xk))
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xm, xr, all_94_1,
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (25), (28), (180) gives:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (653) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(xr, xm) = v2 & aNaturalNumber0(xr) = v1
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & aNaturalNumber0(xm) = v0 & $i(v2) & ( ~ (v1 =
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v2 = all_94_1))
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB_02) with xm, xr, all_94_1,
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (25), (28), (180) gives:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (654) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_94_1) = v2 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v1 & aNaturalNumber0(xm) =
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xm, all_50_0,
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_90_0, simplifying with (25), (81), (169)
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (655) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(all_50_0, xm) = v2 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_50_0) = v1 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = v0 & $i(v2) & ( ~ (v1 = 0)
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = all_90_0))
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB_02) with xm, all_50_0,
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_90_0, simplifying with (25), (81), (169)
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (656) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_90_0) = v2 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_50_0) = v1 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | v2 = 0))
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xr, all_52_5,
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_84_0, simplifying with (28), (54), (154)
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (657) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(all_52_5, xr) = v2 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_52_5) = v1 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v0 & $i(v2) & ( ~ (v1 = 0)
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = all_84_0))
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB_02) with xr, all_52_5,
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_84_0, simplifying with (28), (54), (154)
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (658) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_84_0) = v2 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_52_5) = v1 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v0 & ( ~ (v1 = 0) | ~ (v0
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | v2 = 0))
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (640) with all_80_0, simplifying
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | with (56), (145) gives:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (659) all_80_0 = all_52_2 & aNaturalNumber0(all_52_1) =
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (659) implies:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (660) all_80_0 = all_52_2
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (661) aNaturalNumber0(all_52_1) = 0
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xr, all_52_1,
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_80_0, simplifying with (28), (56), (145)
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (662) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(all_52_1, xr) = v2 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_52_1) = v1 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v0 & $i(v2) & ( ~ (v1 = 0)
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = all_80_0))
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB_02) with xr, all_52_1,
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_80_0, simplifying with (28), (56), (145)
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (663) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_80_0) = v2 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_52_1) = v1 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v0 & ( ~ (v1 = 0) | ~ (v0
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | v2 = 0))
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulAsso) with xr, all_152_0, xm,
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xn, all_42_0, simplifying with (25), (28), (35),
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (357), (359) gives:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (664) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtasdt0(all_152_0, xm)
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v3 & sdtasdt0(xr, v3) = v4 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_152_0) = v1 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v0 & aNaturalNumber0(xm) =
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v2 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 =
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v4 = all_42_0))
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (426) with all_152_0, simplifying
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | with (357), (359) gives:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (665) all_152_0 = all_50_0 | ? [v0: int] : ( ~ (v0 = 0)
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & aNaturalNumber0(all_152_0) = v0)
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xr, all_152_0, xn,
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (28), (357), (359) gives:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (666) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(all_152_0, xr) = v2 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_152_0) = v1 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v0 & $i(v2) & ( ~ (v1 = 0)
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = xn))
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xr, all_226_0,
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_0, simplifying with (28), (487), (488)
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (667) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(all_226_0, xr) = v2 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_226_0) = v1 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v0 & $i(v2) & ( ~ (v1 = 0)
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = all_42_0))
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulAsso) with xr, all_318_0, xp,
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xk, all_42_0, simplifying with (26), (28), (575),
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (607), (608) gives:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (668) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtasdt0(all_318_0, xp)
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v3 & sdtasdt0(xr, v3) = v4 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_318_0) = v1 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v0 & aNaturalNumber0(xp) =
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v2 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 =
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v4 = all_42_0))
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xr, all_318_0, xk,
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (28), (607), (608) gives:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (669) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(all_318_0, xr) = v2 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_318_0) = v1 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v0 & $i(v2) & ( ~ (v1 = 0)
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = xk))
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with all_50_0, all_94_1,
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_94_0, simplifying with (81), (176), (181)
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (670) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(all_94_1, all_50_0) = v2 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_94_1) = v1 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_50_0) = v0 & $i(v2) & ( ~
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v2 = all_94_0))
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB_02) with all_50_0,
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_94_1, all_94_0, simplifying with (81), (176),
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (181) gives:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (671) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_94_0) = v2 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_94_1) = v1 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_50_0) = v0 & ( ~ (v1 = 0) |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = 0))
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mDivMin) with all_196_0, xm,
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_160_0, xp, simplifying with (25), (386),
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387), (462), (463) gives:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (672) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : (doDivides0(all_196_0,
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_160_0) = v4 & doDivides0(all_196_0, xm) =
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v3 & aNaturalNumber0(all_196_0) = v0 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_160_0) = v2 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = v1 & ( ~ (v3 = 0) | ~ (v2
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (314) with all_254_0, simplifying
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | with (510), (512) gives:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (673) all_254_0 = xr | all_254_0 = sz10 | ? [v0: int] :
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) & aNaturalNumber0(all_254_0) = v0)
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_254_0, xr, simplifying
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | with (28), (510), (512) gives:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (674) xr = sz00 | ? [v0: any] : ? [v1: any] : ? [v2:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | any] : (sdtlseqdt0(all_254_0, xr) = v2 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_254_0) = v0 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v1 & ( ~ (v1 = 0) | ~ (v0
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | v2 = 0))
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (457) with xm, all_42_0, all_52_1,
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (25), (505), (546) gives:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (675) ? [v0: any] : ? [v1: $i] : (sdtasdt0(xm,
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_0) = v1 & aNaturalNumber0(xm) = v0 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v1) & ( ~ (v0 = 0) | v1 = all_52_1))
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_254_0, 0, simplifying
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | with (510), (513) gives:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (676) ? [v0: int] : ( ~ (v0 = 0) &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_254_0) = v0) | ( ~
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_254_0 = sz10) & ~ (all_254_0 = sz00) & !
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v0: any] : (v0 = all_254_0 | v0 = sz10 | ~
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (doDivides0(v0, all_254_0) = 0) | ~ $i(v0) |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ? [v1: int] : ( ~ (v1 = 0) &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = v1)))
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (660) imply:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (677) all_80_0 = all_42_0
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (675) with fresh symbols all_334_0,
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_334_1 gives:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (678) sdtasdt0(xm, all_50_0) = all_334_0 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_334_1 & $i(all_334_0) &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_334_1 = 0) | all_334_0 = all_52_1)
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (678) implies:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (679) aNaturalNumber0(xm) = all_334_1
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (680) sdtasdt0(xm, all_50_0) = all_334_0
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (681) ~ (all_334_1 = 0) | all_334_0 = all_52_1
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (663) with fresh symbols all_336_0,
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_336_1, all_336_2 gives:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (682) aNaturalNumber0(all_80_0) = all_336_0 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_52_1) = all_336_1 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_336_2 & ( ~ (all_336_1 =
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_336_2 = 0) | all_336_0 = 0)
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (682) implies:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (683) aNaturalNumber0(xr) = all_336_2
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (684) aNaturalNumber0(all_52_1) = all_336_1
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (656) with fresh symbols all_338_0,
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_338_1, all_338_2 gives:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (685) aNaturalNumber0(all_90_0) = all_338_0 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_50_0) = all_338_1 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_338_2 & ( ~ (all_338_1 =
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_338_2 = 0) | all_338_0 = 0)
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (685) implies:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (686) aNaturalNumber0(xm) = all_338_2
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (687) aNaturalNumber0(all_50_0) = all_338_1
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (654) with fresh symbols all_340_0,
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_340_1, all_340_2 gives:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (688) aNaturalNumber0(all_94_1) = all_340_0 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_340_1 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_340_2 & ( ~ (all_340_1 =
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_340_2 = 0) | all_340_0 = 0)
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (688) implies:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (689) aNaturalNumber0(xm) = all_340_2
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (690) aNaturalNumber0(xr) = all_340_1
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (645) with fresh symbols all_342_0,
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_342_1, all_342_2 gives:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (691) aNaturalNumber0(all_96_1) = all_342_0 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_342_1 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_342_2 & ( ~ (all_342_1 =
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_342_2 = 0) | all_342_0 = 0)
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (691) implies:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (692) aNaturalNumber0(xm) = all_342_2
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (658) with fresh symbols all_344_0,
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_344_1, all_344_2 gives:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (693) aNaturalNumber0(all_84_0) = all_344_0 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_52_5) = all_344_1 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_344_2 & ( ~ (all_344_1 =
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_344_2 = 0) | all_344_0 = 0)
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (693) implies:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (694) aNaturalNumber0(xr) = all_344_2
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (671) with fresh symbols all_348_0,
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_348_1, all_348_2 gives:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (695) aNaturalNumber0(all_94_0) = all_348_0 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_94_1) = all_348_1 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_50_0) = all_348_2 & ( ~
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_348_1 = 0) | ~ (all_348_2 = 0) | all_348_0
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0)
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (695) implies:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (696) aNaturalNumber0(all_50_0) = all_348_2
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (669) with fresh symbols all_350_0,
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_350_1, all_350_2 gives:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (697) sdtasdt0(all_318_0, xr) = all_350_0 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_318_0) = all_350_1 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_350_2 & $i(all_350_0) &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_350_1 = 0) | ~ (all_350_2 = 0) |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_350_0 = xk)
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (697) implies:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (698) aNaturalNumber0(xr) = all_350_2
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (670) with fresh symbols all_352_0,
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_352_1, all_352_2 gives:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (699) sdtasdt0(all_94_1, all_50_0) = all_352_0 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_94_1) = all_352_1 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_50_0) = all_352_2 &
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_352_0) & ( ~ (all_352_1 = 0) | ~
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_352_2 = 0) | all_352_0 = all_94_0)
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (699) implies:
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (700) aNaturalNumber0(all_50_0) = all_352_2
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (667) with fresh symbols all_354_0,
% 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_354_1, all_354_2 gives:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (701) sdtasdt0(all_226_0, xr) = all_354_0 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_226_0) = all_354_1 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_354_2 & $i(all_354_0) &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_354_1 = 0) | ~ (all_354_2 = 0) |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_354_0 = all_42_0)
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (701) implies:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (702) aNaturalNumber0(xr) = all_354_2
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (644) with fresh symbols all_356_0,
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_356_1, all_356_2 gives:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (703) sdtpldt0(xp, xm) = all_356_0 & aNaturalNumber0(xp)
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_356_1 & aNaturalNumber0(xm) = all_356_2 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_356_0) & ( ~ (all_356_1 = 0) | ~
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_356_2 = 0) | all_356_0 = all_96_1)
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (703) implies:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (704) aNaturalNumber0(xm) = all_356_2
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (666) with fresh symbols all_360_0,
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_360_1, all_360_2 gives:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (705) sdtasdt0(all_152_0, xr) = all_360_0 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_152_0) = all_360_1 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_360_2 & $i(all_360_0) &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_360_1 = 0) | ~ (all_360_2 = 0) |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_360_0 = xn)
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (705) implies:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (706) aNaturalNumber0(xr) = all_360_2
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (707) aNaturalNumber0(all_152_0) = all_360_1
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (708) ~ (all_360_1 = 0) | ~ (all_360_2 = 0) |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_360_0 = xn
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (657) with fresh symbols all_364_0,
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_364_1, all_364_2 gives:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (709) sdtasdt0(all_52_5, xr) = all_364_0 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_52_5) = all_364_1 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_364_2 & $i(all_364_0) &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_364_1 = 0) | ~ (all_364_2 = 0) |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_364_0 = all_84_0)
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (709) implies:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (710) aNaturalNumber0(xr) = all_364_2
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (711) sdtasdt0(all_52_5, xr) = all_364_0
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (662) with fresh symbols all_370_0,
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_370_1, all_370_2 gives:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (712) sdtasdt0(all_52_1, xr) = all_370_0 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_52_1) = all_370_1 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_370_2 & $i(all_370_0) &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_370_1 = 0) | ~ (all_370_2 = 0) |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_370_0 = all_80_0)
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (712) implies:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (713) aNaturalNumber0(xr) = all_370_2
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (714) aNaturalNumber0(all_52_1) = all_370_1
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (715) sdtasdt0(all_52_1, xr) = all_370_0
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (655) with fresh symbols all_372_0,
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_372_1, all_372_2 gives:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (716) sdtasdt0(all_50_0, xm) = all_372_0 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_50_0) = all_372_1 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_372_2 & $i(all_372_0) &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_372_1 = 0) | ~ (all_372_2 = 0) |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_372_0 = all_90_0)
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (716) implies:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (717) aNaturalNumber0(xm) = all_372_2
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (718) aNaturalNumber0(all_50_0) = all_372_1
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (719) sdtasdt0(all_50_0, xm) = all_372_0
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (720) ~ (all_372_1 = 0) | ~ (all_372_2 = 0) |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_372_0 = all_90_0
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (653) with fresh symbols all_374_0,
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_374_1, all_374_2 gives:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (721) sdtasdt0(xr, xm) = all_374_0 & aNaturalNumber0(xr)
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_374_1 & aNaturalNumber0(xm) = all_374_2 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_374_0) & ( ~ (all_374_1 = 0) | ~
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_374_2 = 0) | all_374_0 = all_94_1)
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (721) implies:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (722) aNaturalNumber0(xm) = all_374_2
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (723) aNaturalNumber0(xr) = all_374_1
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (652) with fresh symbols all_376_0,
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_376_1, all_376_2 gives:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (724) sdtpldt0(all_310_0, xr) = all_376_0 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_310_0) = all_376_1 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_376_2 & $i(all_376_0) &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_376_1 = 0) | ~ (all_376_2 = 0) |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_376_0 = xk)
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (724) implies:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (725) aNaturalNumber0(xr) = all_376_2
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (646) with fresh symbols all_378_0,
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_378_1, all_378_2 gives:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (726) sdtpldt0(all_160_0, xm) = all_378_0 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_160_0) = all_378_1 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_378_2 & $i(all_378_0) &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_378_1 = 0) | ~ (all_378_2 = 0) |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_378_0 = xp)
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (726) implies:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (727) aNaturalNumber0(xm) = all_378_2
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (649) with fresh symbols all_380_0,
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_380_1, all_380_2, all_380_3, all_380_4 gives:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (728) doDivides0(xr, all_310_0) = all_380_0 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | doDivides0(xr, xr) = all_380_1 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_310_0) = all_380_2 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_380_3 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_380_4 & ( ~ (all_380_1 =
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_380_2 = 0) | ~ (all_380_3 = 0) |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_380_4 = 0) | all_380_0 = 0)
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (728) implies:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (729) aNaturalNumber0(xr) = all_380_4
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (730) aNaturalNumber0(xr) = all_380_3
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (672) with fresh symbols all_384_0,
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_384_1, all_384_2, all_384_3, all_384_4 gives:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (731) doDivides0(all_196_0, all_160_0) = all_384_0 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | doDivides0(all_196_0, xm) = all_384_1 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_196_0) = all_384_4 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_160_0) = all_384_2 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_384_3 & ( ~ (all_384_1 =
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_384_2 = 0) | ~ (all_384_3 = 0) |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_384_4 = 0) | all_384_0 = 0)
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (731) implies:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (732) aNaturalNumber0(xm) = all_384_3
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (651) with fresh symbols all_388_0,
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_388_1, all_388_2, all_388_3, all_388_4 gives:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (733) sdtpldt0(all_310_0, all_302_0) = all_388_1 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtpldt0(xr, all_388_1) = all_388_0 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_310_0) = all_388_3 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_302_0) = all_388_2 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_388_4 & $i(all_388_0) &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_388_1) & ( ~ (all_388_2 = 0) | ~
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_388_3 = 0) | ~ (all_388_4 = 0) | all_388_0
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = xp)
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (733) implies:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (734) aNaturalNumber0(xr) = all_388_4
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (648) with fresh symbols all_394_0,
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_394_1, all_394_2, all_394_3, all_394_4 gives:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (735) sdtpldt0(all_160_0, all_54_1) = all_394_1 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtpldt0(xm, all_394_1) = all_394_0 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_160_0) = all_394_3 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_54_1) = all_394_2 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_394_4 & $i(all_394_0) &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_394_1) & ( ~ (all_394_2 = 0) | ~
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_394_3 = 0) | ~ (all_394_4 = 0) | all_394_0
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_54_0)
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (735) implies:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (736) aNaturalNumber0(xm) = all_394_4
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (668) with fresh symbols all_396_0,
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_396_1, all_396_2, all_396_3, all_396_4 gives:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (737) sdtasdt0(all_318_0, xp) = all_396_1 & sdtasdt0(xr,
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_396_1) = all_396_0 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_318_0) = all_396_3 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_396_4 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_396_2 & $i(all_396_0) &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_396_1) & ( ~ (all_396_2 = 0) | ~
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_396_3 = 0) | ~ (all_396_4 = 0) | all_396_0
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_42_0)
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (737) implies:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (738) aNaturalNumber0(xr) = all_396_4
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (664) with fresh symbols all_398_0,
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_398_1, all_398_2, all_398_3, all_398_4 gives:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (739) sdtasdt0(all_152_0, xm) = all_398_1 & sdtasdt0(xr,
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_398_1) = all_398_0 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_152_0) = all_398_3 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_398_4 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_398_2 & $i(all_398_0) &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_398_1) & ( ~ (all_398_2 = 0) | ~
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_398_3 = 0) | ~ (all_398_4 = 0) | all_398_0
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_42_0)
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (739) implies:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (740) aNaturalNumber0(xm) = all_398_2
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (741) aNaturalNumber0(xr) = all_398_4
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (742) aNaturalNumber0(all_152_0) = all_398_3
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (643) with fresh symbols all_400_0,
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_400_1, all_400_2, all_400_3, all_400_4 gives:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (743) sdtpldt0(xm, all_400_1) = all_400_0 & sdtpldt0(xn,
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xp) = all_400_1 & aNaturalNumber0(xp) =
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_400_2 & aNaturalNumber0(xm) = all_400_4 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = all_400_3 & $i(all_400_0) &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_400_1) & ( ~ (all_400_2 = 0) | ~
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_400_3 = 0) | ~ (all_400_4 = 0) | all_400_0
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_54_0)
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (743) implies:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (744) aNaturalNumber0(xm) = all_400_4
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (642) with fresh symbols all_402_0,
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_402_1, all_402_2, all_402_3, all_402_4,
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_402_5, all_402_6, all_402_7, all_402_8 gives:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (745) isPrime0(xp) = all_402_5 & doDivides0(xp,
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_402_4) = all_402_3 & doDivides0(xp, xm) =
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_402_1 & doDivides0(xp, xn) = all_402_0 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | iLess0(all_54_0, all_54_0) = all_402_2 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(xm, xn) = all_402_4 & aNaturalNumber0(xp)
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_402_6 & aNaturalNumber0(xm) = all_402_8 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = all_402_7 & $i(all_402_4) &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_402_2 = 0) | ~ (all_402_3 = 0) | ~
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_402_5 = 0) | ~ (all_402_6 = 0) | ~
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_402_7 = 0) | ~ (all_402_8 = 0) | all_402_0
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0 | all_402_1 = 0)
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (745) implies:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (746) aNaturalNumber0(xm) = all_402_8
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (650) with fresh symbols all_408_0,
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_408_1, all_408_2, all_408_3, all_408_4,
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_408_5, all_408_6, all_408_7, all_408_8 gives:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (747) isPrime0(all_302_0) = all_408_5 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | doDivides0(all_302_0, all_408_4) = all_408_3 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | doDivides0(all_302_0, all_310_0) = all_408_0 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | doDivides0(all_302_0, xr) = all_408_1 & iLess0(xp,
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_54_0) = all_408_2 & sdtasdt0(xr, all_310_0)
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_408_4 & aNaturalNumber0(all_310_0) =
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_408_7 & aNaturalNumber0(all_302_0) = all_408_6
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & aNaturalNumber0(xr) = all_408_8 & $i(all_408_4)
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_408_2 = 0) | ~ (all_408_3 = 0) | ~
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_408_5 = 0) | ~ (all_408_6 = 0) | ~
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_408_7 = 0) | ~ (all_408_8 = 0) | all_408_0
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0 | all_408_1 = 0)
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (747) implies:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (748) aNaturalNumber0(xr) = all_408_8
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (647) with fresh symbols all_410_0,
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_410_1, all_410_2, all_410_3, all_410_4,
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_410_5, all_410_6, all_410_7, all_410_8 gives:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (749) isPrime0(all_54_1) = all_410_5 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | doDivides0(all_54_1, all_410_4) = all_410_3 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | doDivides0(all_54_1, all_160_0) = all_410_0 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | doDivides0(all_54_1, xm) = all_410_1 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | iLess0(all_54_0, all_54_0) = all_410_2 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(xm, all_160_0) = all_410_4 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_160_0) = all_410_7 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_54_1) = all_410_6 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_410_8 & $i(all_410_4) &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_410_2 = 0) | ~ (all_410_3 = 0) | ~
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_410_5 = 0) | ~ (all_410_6 = 0) | ~
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_410_7 = 0) | ~ (all_410_8 = 0) | all_410_0
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0 | all_410_1 = 0)
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (749) implies:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (750) aNaturalNumber0(xm) = all_410_8
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (676) gives:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (751) ? [v0: int] : ( ~ (v0 = 0) &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_254_0) = v0)
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (751) with fresh symbol all_418_0
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (752) ~ (all_418_0 = 0) & aNaturalNumber0(all_254_0) =
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_418_0
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (752) implies:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (753) ~ (all_418_0 = 0)
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (754) aNaturalNumber0(all_254_0) = all_418_0
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (674) gives:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (755) xr = sz00
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (312), (755) imply:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (756) $false
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (756) is inconsistent.
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (757) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtlseqdt0(all_254_0, xr) = v2 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_254_0) = v0 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v1 & ( ~ (v1 = 0) | ~ (v0
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | v2 = 0))
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (757) with fresh symbols all_432_0,
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_432_1, all_432_2 gives:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (758) sdtlseqdt0(all_254_0, xr) = all_432_0 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_254_0) = all_432_2 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_432_1 & ( ~ (all_432_1 =
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_432_2 = 0) | all_432_0 = 0)
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (758) implies:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (759) aNaturalNumber0(all_254_0) = all_432_2
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_432_2, all_254_0,
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (511), (759) gives:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (760) all_432_2 = 0
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_418_0, all_432_2,
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_254_0, simplifying with (754), (759) gives:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (761) all_432_2 = all_418_0
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (760), (761) imply:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (762) all_418_0 = 0
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (753), (762) imply:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (763) $false
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (763) is inconsistent.
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (764) ~ (all_254_0 = sz10) & ~ (all_254_0 = sz00) & !
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v0: any] : (v0 = all_254_0 | v0 = sz10 | ~
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (doDivides0(v0, all_254_0) = 0) | ~ $i(v0) | ?
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v1: int] : ( ~ (v1 = 0) & aNaturalNumber0(v0) =
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v1))
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (764) implies:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (765) ~ (all_254_0 = sz00)
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (766) ~ (all_254_0 = sz10)
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (641) gives:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (767) xk = sz00
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (767) imply:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (768) $false
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (768) is inconsistent.
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (769) xk = sz10 | ? [v0: $i] : (isPrime0(v0) = 0 &
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | doDivides0(v0, xk) = 0 & aNaturalNumber0(v0) = 0
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(v0))
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (673) gives:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (770) all_254_0 = xr
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (674) gives:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (771) xr = sz00
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (312), (771) imply:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (772) $false
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (772) is inconsistent.
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (773) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtlseqdt0(all_254_0, xr) = v2 &
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_254_0) = v0 &
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v1 & ( ~ (v1 = 0) | ~ (v0
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | v2 = 0))
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (773) with fresh symbols all_440_0,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_440_1, all_440_2 gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (774) sdtlseqdt0(all_254_0, xr) = all_440_0 &
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_254_0) = all_440_2 &
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_440_1 & ( ~ (all_440_1 =
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_440_2 = 0) | all_440_0 = 0)
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (774) implies:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (775) aNaturalNumber0(xr) = all_440_1
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (776) aNaturalNumber0(all_254_0) = all_440_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (770), (776) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (777) aNaturalNumber0(xr) = all_440_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (769) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (778) xk = sz10
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (778) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (779) $false
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (779) is inconsistent.
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_378_2, xm,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (7), (727) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (780) all_378_2 = 0
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_340_2, all_378_2, xm,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (727) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (781) all_378_2 = all_340_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_378_2, all_384_3, xm,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (727), (732) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (782) all_384_3 = all_378_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_372_2, all_384_3, xm,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (732) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (783) all_384_3 = all_372_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_372_2, all_394_4, xm,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (736) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (784) all_394_4 = all_372_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_356_2, all_394_4, xm,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (704), (736) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (785) all_394_4 = all_356_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_378_2, all_398_2, xm,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (727), (740) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (786) all_398_2 = all_378_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_374_2, all_398_2, xm,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (740) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (787) all_398_2 = all_374_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_384_3, all_400_4, xm,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (732), (744) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (788) all_400_4 = all_384_3
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_342_2, all_400_4, xm,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (744) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (789) all_400_4 = all_342_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_372_2, all_402_8, xm,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (746) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (790) all_402_8 = all_372_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_334_1, all_402_8, xm,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (679), (746) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (791) all_402_8 = all_334_1
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_384_3, all_410_8, xm,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (732), (750) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (792) all_410_8 = all_384_3
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_338_2, all_410_8, xm,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (686), (750) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (793) all_410_8 = all_338_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_340_1, xr,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (15), (690) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (794) all_340_1 = 0
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_340_1, all_344_2, xr,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (694) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (795) all_344_2 = all_340_1
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_344_2, all_370_2, xr,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (713) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (796) all_370_2 = all_344_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_370_2, all_376_2, xr,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (713), (725) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (797) all_376_2 = all_370_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_370_2, all_380_4, xr,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (713), (729) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (798) all_380_4 = all_370_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_364_2, all_380_4, xr,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (710), (729) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (799) all_380_4 = all_364_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_380_4, all_380_3, xr,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (729), (730) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (800) all_380_3 = all_380_4
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_380_3, all_388_4, xr,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (730), (734) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (801) all_388_4 = all_380_3
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_360_2, all_388_4, xr,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (706), (734) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (802) all_388_4 = all_360_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_376_2, all_396_4, xr,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (738) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (803) all_396_4 = all_376_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_354_2, all_396_4, xr,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (702), (738) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (804) all_396_4 = all_354_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_364_2, all_408_8, xr,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (710), (748) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (805) all_408_8 = all_364_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_350_2, all_408_8, xr,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (698), (748) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (806) all_408_8 = all_350_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_398_4, all_440_2, xr,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (741), (777) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (807) all_440_2 = all_398_4
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_380_4, all_440_2, xr,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (729), (777) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (808) all_440_2 = all_380_4
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_374_1, all_440_2, xr,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (777) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (809) all_440_2 = all_374_1
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_370_2, all_440_1, xr,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (713), (775) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (810) all_440_1 = all_370_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_336_2, all_440_1, xr,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (683), (775) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (811) all_440_1 = all_336_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_72_2, all_352_2,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_0, simplifying with (127), (700) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (812) all_352_2 = all_72_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_348_2, all_352_2,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_0, simplifying with (696), (700) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (813) all_352_2 = all_348_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_348_2, all_372_1,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_0, simplifying with (696), (718) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (814) all_372_1 = all_348_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_338_1, all_372_1,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_0, simplifying with (687), (718) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (815) all_372_1 = all_338_1
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_66_2, all_336_1,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_1, simplifying with (118), (684) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (816) all_336_1 = all_66_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_336_1, all_370_1,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_1, simplifying with (684), (714) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (817) all_370_1 = all_336_1
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_370_1, all_52_1,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (661), (714) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (818) all_370_1 = 0
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_398_3, all_152_0,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (358), (742) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (819) all_398_3 = 0
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_360_1, all_398_3,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_152_0, simplifying with (707), (742) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (820) all_398_3 = all_360_1
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_90_0, all_334_0,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_0, xm, simplifying with (169), (680) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (821) all_334_0 = all_90_0
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_52_5, all_372_0, xm,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_0, simplifying with (80), (719) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (822) all_372_0 = all_52_5
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_52_4, all_364_0, xr,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5, simplifying with (60), (711) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (823) all_364_0 = all_52_4
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_52_0, all_370_0, xr,
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_1, simplifying with (61), (715) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (824) all_370_0 = all_52_0
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (810), (811) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (825) all_370_2 = all_336_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (825) implies:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (826) all_370_2 = all_336_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (807), (809) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (827) all_398_4 = all_374_1
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (807), (808) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (828) all_398_4 = all_380_4
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (792), (793) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (829) all_384_3 = all_338_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (829) implies:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (830) all_384_3 = all_338_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (805), (806) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (831) all_364_2 = all_350_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (831) implies:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (832) all_364_2 = all_350_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (790), (791) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (833) all_372_2 = all_334_1
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (833) implies:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (834) all_372_2 = all_334_1
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (788), (789) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (835) all_384_3 = all_342_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (835) implies:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (836) all_384_3 = all_342_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (786), (787) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (837) all_378_2 = all_374_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (837) implies:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (838) all_378_2 = all_374_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (819), (820) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (839) all_360_1 = 0
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (827), (828) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (840) all_380_4 = all_374_1
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (840) implies:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (841) all_380_4 = all_374_1
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (803), (804) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (842) all_376_2 = all_354_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (842) implies:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (843) all_376_2 = all_354_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (784), (785) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (844) all_372_2 = all_356_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (844) implies:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (845) all_372_2 = all_356_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (801), (802) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (846) all_380_3 = all_360_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (846) implies:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (847) all_380_3 = all_360_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (783), (836) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (848) all_372_2 = all_342_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (848) implies:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (849) all_372_2 = all_342_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (782), (836) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (850) all_378_2 = all_342_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (850) implies:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (851) all_378_2 = all_342_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (830), (836) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (852) all_342_2 = all_338_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (800), (847) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (853) all_380_4 = all_360_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (853) implies:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (854) all_380_4 = all_360_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (799), (841) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (855) all_374_1 = all_364_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (841), (854) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (856) all_374_1 = all_360_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (798), (841) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (857) all_374_1 = all_370_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (780), (838) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (858) all_374_2 = 0
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (781), (838) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (859) all_374_2 = all_340_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (838), (851) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (860) all_374_2 = all_342_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (797), (843) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (861) all_370_2 = all_354_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (861) implies:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (862) all_370_2 = all_354_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (855), (856) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (863) all_364_2 = all_360_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (863) implies:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (864) all_364_2 = all_360_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (856), (857) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (865) all_370_2 = all_360_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (865) implies:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (866) all_370_2 = all_360_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (859), (860) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (867) all_342_2 = all_340_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (867) implies:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (868) all_342_2 = all_340_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (858), (859) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (869) all_340_2 = 0
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (814), (815) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (870) all_348_2 = all_338_1
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (870) implies:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (871) all_348_2 = all_338_1
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (834), (845) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (872) all_356_2 = all_334_1
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (845), (849) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (873) all_356_2 = all_342_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (817), (818) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (874) all_336_1 = 0
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (874) implies:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (875) all_336_1 = 0
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (862), (866) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (876) all_360_2 = all_354_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (876) implies:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (877) all_360_2 = all_354_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (796), (862) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (878) all_354_2 = all_344_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (826), (862) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (879) all_354_2 = all_336_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (832), (864) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (880) all_360_2 = all_350_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (880) implies:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (881) all_360_2 = all_350_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (877), (881) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (882) all_354_2 = all_350_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (882) implies:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (883) all_354_2 = all_350_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (872), (873) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (884) all_342_2 = all_334_1
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (884) implies:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (885) all_342_2 = all_334_1
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (878), (883) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (886) all_350_2 = all_344_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (879), (883) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (887) all_350_2 = all_336_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (812), (813) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (888) all_348_2 = all_72_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (888) implies:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (889) all_348_2 = all_72_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (886), (887) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (890) all_344_2 = all_336_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (890) implies:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (891) all_344_2 = all_336_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (871), (889) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (892) all_338_1 = all_72_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (892) implies:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (893) all_338_1 = all_72_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (795), (891) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (894) all_340_1 = all_336_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (894) implies:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (895) all_340_1 = all_336_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (852), (885) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (896) all_338_2 = all_334_1
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (852), (868) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (897) all_340_2 = all_338_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (897) implies:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (898) all_340_2 = all_338_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (794), (895) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (899) all_336_2 = 0
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (869), (898) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (900) all_338_2 = 0
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (900) implies:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (901) all_338_2 = 0
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (896), (901) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (902) all_334_1 = 0
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (816), (875) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (903) all_66_2 = 0
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (238), (903) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (904) all_80_2 = 0
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (887), (899) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (905) all_350_2 = 0
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (872), (902) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (906) all_356_2 = 0
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (881), (905) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (907) all_360_2 = 0
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (845), (906) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (908) all_372_2 = 0
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (815), (893) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (909) all_372_1 = all_72_2
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (665) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (910) all_152_0 = all_50_0
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (358), (910) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (911) aNaturalNumber0(all_50_0) = 0
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (146) gives:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (912) ~ (all_80_1 = 0)
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (912) imply:
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (913) $false
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (913) is inconsistent.
% 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (914) ~ (all_80_2 = 0) | all_80_0 = all_52_0
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (914) gives:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (915) ~ (all_80_2 = 0)
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (904), (915) imply:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (916) $false
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (916) is inconsistent.
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (917) all_80_0 = all_52_0
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (677), (917) imply:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (918) all_52_0 = all_42_0
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (918) imply:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (919) sdtasdt0(all_52_1, xr) = all_42_0
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (920) ~ (all_52_0 = all_52_4)
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (918), (920) imply:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (921) ~ (all_52_4 = all_42_0)
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (921) implies:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (922) ~ (all_52_4 = all_42_0)
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (708) gives:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (923) ~ (all_360_1 = 0)
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (839), (923) imply:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (924) $false
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (924) is inconsistent.
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (925) ~ (all_360_2 = 0) | all_360_0 = xn
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (681) gives:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (926) ~ (all_334_1 = 0)
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (902), (926) imply:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (927) $false
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (927) is inconsistent.
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (928) all_334_0 = all_52_1
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (821), (928) imply:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (929) all_90_0 = all_52_1
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (929) implies:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (930) all_90_0 = all_52_1
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (925) gives:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (931) ~ (all_360_2 = 0)
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (907), (931) imply:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (932) $false
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (932) is inconsistent.
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_72_2, 0, all_50_0,
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (127), (911) gives:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (933) all_72_2 = 0
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (909), (933) imply:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (934) all_372_1 = 0
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (720) gives:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (935) ~ (all_372_1 = 0)
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (934), (935) imply:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (936) $false
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (936) is inconsistent.
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (937) ~ (all_372_2 = 0) | all_372_0 = all_90_0
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (937) gives:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (938) ~ (all_372_2 = 0)
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (908), (938) imply:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (939) $false
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (939) is inconsistent.
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (940) all_372_0 = all_90_0
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (822), (940) imply:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (941) all_90_0 = all_52_5
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (930), (941) imply:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (942) all_52_1 = all_52_5
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (919), (942) imply:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (943) sdtasdt0(all_52_5, xr) = all_42_0
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_52_4, all_42_0, xr,
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5, simplifying with (60), (943) gives:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (944) all_52_4 = all_42_0
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (922), (944) imply:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (945) $false
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (945) is inconsistent.
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (946) all_52_0 = all_52_4
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (947) ~ (all_52_3 = all_52_4)
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (918), (946) imply:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (948) all_52_4 = all_42_0
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (948) implies:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (949) all_52_4 = all_42_0
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (947), (949) imply:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (950) $false
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (950) is inconsistent.
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (951) ? [v0: int] : ( ~ (v0 = 0) &
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_152_0) = v0)
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (951) with fresh symbol all_480_0
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (952) ~ (all_480_0 = 0) & aNaturalNumber0(all_152_0) =
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_480_0
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (952) implies:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (953) ~ (all_480_0 = 0)
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (954) aNaturalNumber0(all_152_0) = all_480_0
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_480_0, all_152_0,
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (358), (954) gives:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (955) all_480_0 = 0
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (953), (955) imply:
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (956) $false
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (956) is inconsistent.
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (957) all_254_0 = sz10 | ? [v0: int] : ( ~ (v0 = 0) &
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_254_0) = v0)
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (674) gives:
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (958) xr = sz00
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (312), (958) imply:
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (959) $false
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (959) is inconsistent.
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (960) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtlseqdt0(all_254_0, xr) = v2 &
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_254_0) = v0 &
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v1 & ( ~ (v1 = 0) | ~ (v0
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | v2 = 0))
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (960) with fresh symbols all_440_0,
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_440_1, all_440_2 gives:
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (961) sdtlseqdt0(all_254_0, xr) = all_440_0 &
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_254_0) = all_440_2 &
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_440_1 & ( ~ (all_440_1 =
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_440_2 = 0) | all_440_0 = 0)
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (961) implies:
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (962) aNaturalNumber0(all_254_0) = all_440_2
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (957) gives:
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (963) all_254_0 = sz10
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (766), (963) imply:
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (964) $false
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (964) is inconsistent.
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (965) ? [v0: int] : ( ~ (v0 = 0) &
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_254_0) = v0)
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (965) with fresh symbol all_454_0
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (966) ~ (all_454_0 = 0) & aNaturalNumber0(all_254_0) =
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_454_0
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (966) implies:
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (967) ~ (all_454_0 = 0)
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (968) aNaturalNumber0(all_254_0) = all_454_0
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_454_0, all_254_0,
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (511), (968) gives:
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (969) all_454_0 = 0
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_440_2, all_454_0,
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_254_0, simplifying with (962), (968) gives:
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (970) all_454_0 = all_440_2
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (969), (970) imply:
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (971) all_440_2 = 0
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (967), (969) imply:
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (972) $false
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (972) is inconsistent.
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | End of split
% 52.72/7.77 | | | | | | | | | | | | | | | | | | | | |
% 52.72/7.77 | | | | | | | | | | | | | | | | | | | | End of split
% 52.72/7.77 | | | | | | | | | | | | | | | | | | | |
% 52.72/7.77 | | | | | | | | | | | | | | | | | | | End of split
% 52.72/7.77 | | | | | | | | | | | | | | | | | | |
% 52.72/7.77 | | | | | | | | | | | | | | | | | | End of split
% 52.72/7.77 | | | | | | | | | | | | | | | | | |
% 52.72/7.77 | | | | | | | | | | | | | | | | | End of split
% 52.72/7.77 | | | | | | | | | | | | | | | | |
% 52.72/7.77 | | | | | | | | | | | | | | | | End of split
% 52.72/7.77 | | | | | | | | | | | | | | | |
% 52.72/7.77 | | | | | | | | | | | | | | | End of split
% 52.72/7.77 | | | | | | | | | | | | | | |
% 52.72/7.77 | | | | | | | | | | | | | | End of split
% 52.72/7.77 | | | | | | | | | | | | | |
% 52.72/7.77 | | | | | | | | | | | | | End of split
% 52.72/7.77 | | | | | | | | | | | | |
% 52.72/7.77 | | | | | | | | | | | | End of split
% 52.72/7.77 | | | | | | | | | | | |
% 52.72/7.77 | | | | | | | | | | | End of split
% 52.72/7.77 | | | | | | | | | | |
% 52.72/7.77 | | | | | | | | | | End of split
% 52.72/7.77 | | | | | | | | | |
% 52.72/7.77 | | | | | | | | | End of split
% 52.72/7.77 | | | | | | | | |
% 52.72/7.77 | | | | | | | | End of split
% 52.72/7.77 | | | | | | | |
% 52.72/7.77 | | | | | | | End of split
% 52.72/7.77 | | | | | | |
% 52.72/7.77 | | | | | | End of split
% 52.72/7.77 | | | | | |
% 52.72/7.77 | | | | | End of split
% 52.72/7.77 | | | | |
% 52.72/7.77 | | | | End of split
% 52.72/7.77 | | | |
% 52.72/7.77 | | | End of split
% 52.72/7.77 | | |
% 52.72/7.77 | | End of split
% 52.72/7.77 | |
% 52.72/7.77 | End of split
% 52.72/7.77 |
% 52.72/7.77 End of proof
% 52.72/7.77 % SZS output end Proof for theBenchmark
% 52.72/7.77
% 52.72/7.77 7166ms
%------------------------------------------------------------------------------