TSTP Solution File: NUM478+1 by Princess---230619
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- Process Solution
%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : NUM478+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 : n025.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 11:48:02 EDT 2023
% Result : Theorem 37.63s 5.80s
% Output : Proof 39.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM478+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 : n025.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 17:57:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.62 ________ _____
% 0.20/0.62 ___ __ \_________(_)________________________________
% 0.20/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.62
% 0.20/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.62 (2023-06-19)
% 0.20/0.62
% 0.20/0.62 (c) Philipp Rümmer, 2009-2023
% 0.20/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.62 Amanda Stjerna.
% 0.20/0.62 Free software under BSD-3-Clause.
% 0.20/0.62
% 0.20/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.62
% 0.20/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.63 Running up to 7 provers in parallel.
% 0.20/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.97/1.18 Prover 1: Preprocessing ...
% 2.97/1.18 Prover 4: Preprocessing ...
% 3.51/1.22 Prover 0: Preprocessing ...
% 3.51/1.22 Prover 2: Preprocessing ...
% 3.51/1.22 Prover 5: Preprocessing ...
% 3.51/1.22 Prover 3: Preprocessing ...
% 3.51/1.22 Prover 6: Preprocessing ...
% 8.12/1.89 Prover 3: Constructing countermodel ...
% 8.12/1.89 Prover 1: Constructing countermodel ...
% 9.14/1.99 Prover 6: Proving ...
% 9.14/1.99 Prover 5: Constructing countermodel ...
% 9.72/2.16 Prover 2: Proving ...
% 11.27/2.32 Prover 4: Constructing countermodel ...
% 12.40/2.42 Prover 0: Proving ...
% 37.63/5.79 Prover 1: Found proof (size 712)
% 37.63/5.79 Prover 1: proved (5155ms)
% 37.63/5.80 Prover 5: stopped
% 37.63/5.80 Prover 3: stopped
% 37.63/5.80 Prover 2: stopped
% 37.63/5.80 Prover 0: stopped
% 37.63/5.80 Prover 6: stopped
% 37.63/5.80 Prover 4: stopped
% 37.63/5.80
% 37.63/5.80 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 37.63/5.80
% 37.63/5.84 % SZS output start Proof for theBenchmark
% 38.14/5.84 Assumptions after simplification:
% 38.14/5.84 ---------------------------------
% 38.14/5.84
% 38.14/5.84 (mAddComm)
% 38.14/5.87 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtpldt0(v0, v1) = v2) | ~
% 38.14/5.87 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] :
% 38.14/5.87 (sdtpldt0(v1, v0) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3
% 38.14/5.87 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2)))
% 38.14/5.87
% 38.14/5.87 (mDefDiv)
% 38.14/5.88 ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~ (doDivides0(v0, v1) = v2) | ~
% 38.14/5.88 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : (aNaturalNumber0(v1) = v4
% 38.14/5.88 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))) | (( ~ (v2 = 0)
% 38.14/5.88 | ? [v3: $i] : (sdtasdt0(v0, v3) = v1 & aNaturalNumber0(v3) = 0 &
% 38.14/5.88 $i(v3))) & (v2 = 0 | ! [v3: $i] : ( ~ (sdtasdt0(v0, v3) = v1) | ~
% 38.14/5.88 $i(v3) | ? [v4: int] : ( ~ (v4 = 0) & aNaturalNumber0(v3) = v4)))))
% 38.14/5.88
% 38.14/5.88 (mDefLE)
% 38.14/5.88 ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~ (sdtlseqdt0(v0, v1) = v2) | ~
% 38.14/5.88 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : (aNaturalNumber0(v1) = v4
% 38.14/5.88 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))) | (( ~ (v2 = 0)
% 38.14/5.88 | ? [v3: $i] : (sdtpldt0(v0, v3) = v1 & aNaturalNumber0(v3) = 0 &
% 38.14/5.88 $i(v3))) & (v2 = 0 | ! [v3: $i] : ( ~ (sdtpldt0(v0, v3) = v1) | ~
% 38.14/5.88 $i(v3) | ? [v4: int] : ( ~ (v4 = 0) & aNaturalNumber0(v3) = v4)))))
% 38.14/5.88
% 38.14/5.88 (mDefQuot)
% 38.14/5.88 $i(sz00) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v0 = sz00 | ~
% 38.14/5.89 (sdtsldt0(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4:
% 38.14/5.89 any] : ? [v5: any] : (doDivides0(v0, v1) = v5 & aNaturalNumber0(v1) = v4
% 38.14/5.89 & aNaturalNumber0(v0) = v3 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0))) |
% 38.14/5.89 ( ! [v3: $i] : (v3 = v2 | ~ (sdtasdt0(v0, v3) = v1) | ~ $i(v3) | ? [v4:
% 38.14/5.89 int] : ( ~ (v4 = 0) & aNaturalNumber0(v3) = v4)) & ! [v3: $i] : ( ~
% 38.14/5.89 (sdtasdt0(v0, v2) = v3) | ~ $i(v2) | (v3 = v1 & aNaturalNumber0(v2) =
% 38.14/5.89 0))))
% 38.14/5.89
% 38.14/5.89 (mDivLE)
% 38.35/5.89 $i(sz00) & ! [v0: $i] : ! [v1: $i] : (v1 = sz00 | ~ (doDivides0(v0, v1) =
% 38.35/5.89 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] :
% 38.35/5.89 (sdtlseqdt0(v0, v1) = v4 & aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) =
% 38.35/5.89 v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | v4 = 0)))
% 38.35/5.89
% 38.35/5.89 (mDivMin)
% 38.35/5.89 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (doDivides0(v0,
% 38.35/5.89 v3) = 0) | ~ (sdtpldt0(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 38.35/5.89 $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8:
% 38.35/5.89 any] : (doDivides0(v0, v2) = v8 & doDivides0(v0, v1) = v7 &
% 38.35/5.89 aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0)
% 38.35/5.89 = v4 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | v8 = 0)))
% 38.35/5.89
% 38.35/5.89 (mMulAsso)
% 38.35/5.89 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 38.35/5.89 (sdtasdt0(v3, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1)
% 38.35/5.89 | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: $i] : ?
% 38.35/5.89 [v9: $i] : (sdtasdt0(v1, v2) = v8 & sdtasdt0(v0, v8) = v9 &
% 38.35/5.89 aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0)
% 38.35/5.89 = v5 & $i(v9) & $i(v8) & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 =
% 38.35/5.89 v4)))
% 38.35/5.89
% 38.35/5.89 (mMulCanc)
% 38.35/5.90 $i(sz00) & ! [v0: $i] : (v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) | ~ $i(v0)
% 38.35/5.90 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v2 = v1 | ~
% 38.35/5.90 (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ $i(v2) | ~
% 38.35/5.90 $i(v1) | ? [v5: any] : ? [v6: any] : ? [v7: $i] : ? [v8: $i] :
% 38.35/5.90 (sdtasdt0(v2, v0) = v8 & sdtasdt0(v1, v0) = v7 & aNaturalNumber0(v2) = v6
% 38.35/5.90 & aNaturalNumber0(v1) = v5 & $i(v8) & $i(v7) & ( ~ (v6 = 0) | ~ (v5 =
% 38.35/5.90 0) | ( ~ (v8 = v7) & ~ (v4 = v3))))))
% 38.35/5.90
% 38.35/5.90 (mMulComm)
% 38.35/5.90 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) | ~
% 38.35/5.90 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] :
% 38.35/5.90 (sdtasdt0(v1, v0) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3
% 38.35/5.90 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2)))
% 38.35/5.90
% 38.35/5.90 (mSortsB_02)
% 38.35/5.90 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) | ~
% 38.35/5.90 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 38.35/5.90 (aNaturalNumber0(v2) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) =
% 38.35/5.90 v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 38.35/5.90
% 38.35/5.90 (mZeroMul)
% 38.35/5.90 $i(sz00) & ! [v0: $i] : ! [v1: $i] : (v1 = sz00 | v0 = sz00 | ~
% 38.35/5.90 (sdtasdt0(v0, v1) = sz00) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3:
% 38.35/5.90 any] : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0)
% 38.35/5.90 | ~ (v2 = 0))))
% 38.35/5.90
% 38.35/5.90 (m_MulZero)
% 38.35/5.90 $i(sz00) & ! [v0: $i] : ! [v1: $i] : ( ~ (sdtasdt0(sz00, v0) = v1) | ~
% 38.35/5.90 $i(v0) | ? [v2: any] : ? [v3: $i] : (sdtasdt0(v0, sz00) = v3 &
% 38.35/5.90 aNaturalNumber0(v0) = v2 & $i(v3) & ( ~ (v2 = 0) | (v3 = sz00 & v1 =
% 38.35/5.90 sz00))))
% 38.35/5.90
% 38.35/5.90 (m__)
% 38.35/5.91 $i(xn) & $i(xm) & $i(xl) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 38.35/5.91 $i] : ( ~ (v3 = v1) & sdtsldt0(v2, xl) = v3 & sdtsldt0(xm, xl) = v0 &
% 38.35/5.91 sdtasdt0(xn, v0) = v1 & sdtasdt0(xn, xm) = v2 & $i(v3) & $i(v2) & $i(v1) &
% 38.35/5.91 $i(v0))
% 38.35/5.91
% 38.35/5.91 (m__1524)
% 38.35/5.91 aNaturalNumber0(xm) = 0 & aNaturalNumber0(xl) = 0 & $i(xm) & $i(xl)
% 38.35/5.91
% 38.35/5.91 (m__1524_04)
% 38.35/5.91 ~ (xl = sz00) & doDivides0(xl, xm) = 0 & $i(xm) & $i(xl) & $i(sz00)
% 38.35/5.91
% 38.35/5.91 (m__1553)
% 38.35/5.91 aNaturalNumber0(xn) = 0 & $i(xn)
% 38.35/5.91
% 38.35/5.91 (function-axioms)
% 38.35/5.91 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 38.35/5.91 (sdtsldt0(v3, v2) = v1) | ~ (sdtsldt0(v3, v2) = v0)) & ! [v0:
% 38.35/5.91 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 38.35/5.91 : (v1 = v0 | ~ (doDivides0(v3, v2) = v1) | ~ (doDivides0(v3, v2) = v0)) & !
% 38.35/5.91 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 38.35/5.91 $i] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0)) & !
% 38.35/5.91 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 38.35/5.91 (sdtmndt0(v3, v2) = v1) | ~ (sdtmndt0(v3, v2) = v0)) & ! [v0:
% 38.35/5.91 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 38.35/5.91 : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~ (sdtlseqdt0(v3, v2) = v0)) & !
% 38.35/5.91 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 38.35/5.91 (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0)) & ! [v0: $i] : !
% 38.35/5.91 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) |
% 38.35/5.91 ~ (sdtpldt0(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 38.35/5.91 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1)
% 38.35/5.91 | ~ (aNaturalNumber0(v2) = v0))
% 38.35/5.91
% 38.35/5.91 Further assumptions not needed in the proof:
% 38.35/5.91 --------------------------------------------
% 38.35/5.91 mAMDistr, mAddAsso, mAddCanc, mDefDiff, mDivSum, mDivTrans, mIH, mIH_03,
% 38.35/5.91 mLEAsym, mLENTr, mLERefl, mLETotal, mLETran, mMonAdd, mMonMul, mMonMul2,
% 38.35/5.91 mNatSort, mSortsB, mSortsC, mSortsC_01, mZeroAdd, m_AddZero, m_MulUnit
% 38.35/5.91
% 38.35/5.91 Those formulas are unsatisfiable:
% 38.35/5.91 ---------------------------------
% 38.35/5.91
% 38.35/5.91 Begin of proof
% 38.35/5.91 |
% 38.35/5.91 | ALPHA: (m_MulZero) implies:
% 38.35/5.91 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (sdtasdt0(sz00, v0) = v1) | ~ $i(v0) |
% 38.35/5.91 | ? [v2: any] : ? [v3: $i] : (sdtasdt0(v0, sz00) = v3 &
% 38.35/5.91 | aNaturalNumber0(v0) = v2 & $i(v3) & ( ~ (v2 = 0) | (v3 = sz00 & v1
% 38.35/5.91 | = sz00))))
% 38.35/5.91 |
% 38.35/5.91 | ALPHA: (mMulCanc) implies:
% 38.35/5.92 | (2) ! [v0: $i] : (v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) | ~ $i(v0) |
% 38.35/5.92 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v2 = v1 | ~
% 38.35/5.92 | (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ $i(v2) |
% 38.35/5.92 | ~ $i(v1) | ? [v5: any] : ? [v6: any] : ? [v7: $i] : ? [v8: $i]
% 38.35/5.92 | : (sdtasdt0(v2, v0) = v8 & sdtasdt0(v1, v0) = v7 &
% 38.35/5.92 | aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 & $i(v8) &
% 38.35/5.92 | $i(v7) & ( ~ (v6 = 0) | ~ (v5 = 0) | ( ~ (v8 = v7) & ~ (v4 =
% 38.35/5.92 | v3))))))
% 38.35/5.92 |
% 38.35/5.92 | ALPHA: (mZeroMul) implies:
% 38.35/5.92 | (3) ! [v0: $i] : ! [v1: $i] : (v1 = sz00 | v0 = sz00 | ~ (sdtasdt0(v0,
% 38.35/5.92 | v1) = sz00) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any]
% 38.35/5.92 | : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0)
% 38.35/5.92 | | ~ (v2 = 0))))
% 38.35/5.92 |
% 38.35/5.92 | ALPHA: (mDefQuot) implies:
% 38.35/5.92 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v0 = sz00 | ~ (sdtsldt0(v1,
% 38.35/5.92 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 38.35/5.92 | ? [v5: any] : (doDivides0(v0, v1) = v5 & aNaturalNumber0(v1) = v4 &
% 38.35/5.92 | aNaturalNumber0(v0) = v3 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 =
% 38.35/5.92 | 0))) | ( ! [v3: $i] : (v3 = v2 | ~ (sdtasdt0(v0, v3) = v1) |
% 38.35/5.92 | ~ $i(v3) | ? [v4: int] : ( ~ (v4 = 0) & aNaturalNumber0(v3) =
% 38.35/5.92 | v4)) & ! [v3: $i] : ( ~ (sdtasdt0(v0, v2) = v3) | ~ $i(v2) |
% 38.35/5.92 | (v3 = v1 & aNaturalNumber0(v2) = 0))))
% 38.35/5.92 |
% 38.35/5.92 | ALPHA: (mDivLE) implies:
% 38.35/5.92 | (5) ! [v0: $i] : ! [v1: $i] : (v1 = sz00 | ~ (doDivides0(v0, v1) = 0) |
% 38.35/5.92 | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] :
% 38.35/5.92 | (sdtlseqdt0(v0, v1) = v4 & aNaturalNumber0(v1) = v3 &
% 38.35/5.92 | aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | v4 = 0)))
% 38.35/5.92 |
% 38.35/5.92 | ALPHA: (m__1524) implies:
% 38.35/5.92 | (6) aNaturalNumber0(xl) = 0
% 38.35/5.92 | (7) aNaturalNumber0(xm) = 0
% 38.35/5.92 |
% 38.35/5.92 | ALPHA: (m__1524_04) implies:
% 38.35/5.92 | (8) ~ (xl = sz00)
% 38.35/5.92 | (9) doDivides0(xl, xm) = 0
% 38.35/5.92 |
% 38.35/5.92 | ALPHA: (m__1553) implies:
% 38.35/5.92 | (10) aNaturalNumber0(xn) = 0
% 38.35/5.92 |
% 38.35/5.92 | ALPHA: (m__) implies:
% 38.35/5.92 | (11) $i(xl)
% 38.35/5.92 | (12) $i(xm)
% 38.35/5.92 | (13) $i(xn)
% 38.35/5.92 | (14) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ( ~ (v3 = v1)
% 38.35/5.92 | & sdtsldt0(v2, xl) = v3 & sdtsldt0(xm, xl) = v0 & sdtasdt0(xn, v0) =
% 38.35/5.92 | v1 & sdtasdt0(xn, xm) = v2 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 38.35/5.92 |
% 38.35/5.92 | ALPHA: (function-axioms) implies:
% 38.35/5.93 | (15) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 38.35/5.93 | : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) =
% 38.35/5.93 | v0))
% 38.35/5.93 | (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 38.35/5.93 | (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0))
% 38.35/5.93 | (17) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 38.35/5.93 | : ! [v3: $i] : (v1 = v0 | ~ (doDivides0(v3, v2) = v1) | ~
% 38.35/5.93 | (doDivides0(v3, v2) = v0))
% 38.35/5.93 | (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 38.35/5.93 | (sdtsldt0(v3, v2) = v1) | ~ (sdtsldt0(v3, v2) = v0))
% 38.35/5.93 |
% 38.35/5.93 | DELTA: instantiating (14) with fresh symbols all_35_0, all_35_1, all_35_2,
% 38.35/5.93 | all_35_3 gives:
% 38.35/5.93 | (19) ~ (all_35_0 = all_35_2) & sdtsldt0(all_35_1, xl) = all_35_0 &
% 38.35/5.93 | sdtsldt0(xm, xl) = all_35_3 & sdtasdt0(xn, all_35_3) = all_35_2 &
% 38.35/5.93 | sdtasdt0(xn, xm) = all_35_1 & $i(all_35_0) & $i(all_35_1) &
% 38.35/5.93 | $i(all_35_2) & $i(all_35_3)
% 38.35/5.93 |
% 38.35/5.93 | ALPHA: (19) implies:
% 38.35/5.93 | (20) ~ (all_35_0 = all_35_2)
% 38.35/5.93 | (21) $i(all_35_3)
% 38.35/5.93 | (22) $i(all_35_1)
% 38.35/5.93 | (23) sdtasdt0(xn, xm) = all_35_1
% 38.35/5.93 | (24) sdtasdt0(xn, all_35_3) = all_35_2
% 38.35/5.93 | (25) sdtsldt0(xm, xl) = all_35_3
% 38.35/5.93 | (26) sdtsldt0(all_35_1, xl) = all_35_0
% 38.35/5.93 |
% 38.35/5.93 | GROUND_INST: instantiating (2) with xl, simplifying with (6), (11) gives:
% 38.35/5.93 | (27) xl = sz00 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] :
% 38.35/5.93 | (v1 = v0 | ~ (sdtasdt0(xl, v1) = v3) | ~ (sdtasdt0(xl, v0) = v2) |
% 38.35/5.93 | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: $i] :
% 38.35/5.93 | ? [v7: $i] : (sdtasdt0(v1, xl) = v7 & sdtasdt0(v0, xl) = v6 &
% 38.35/5.93 | aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & $i(v7) &
% 38.35/5.93 | $i(v6) & ( ~ (v5 = 0) | ~ (v4 = 0) | ( ~ (v7 = v6) & ~ (v3 =
% 38.35/5.93 | v2)))))
% 38.35/5.93 |
% 38.35/5.93 | GROUND_INST: instantiating (2) with xn, simplifying with (10), (13) gives:
% 38.35/5.93 | (28) xn = sz00 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] :
% 38.35/5.93 | (v1 = v0 | ~ (sdtasdt0(xn, v1) = v3) | ~ (sdtasdt0(xn, v0) = v2) |
% 38.35/5.93 | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: $i] :
% 38.35/5.93 | ? [v7: $i] : (sdtasdt0(v1, xn) = v7 & sdtasdt0(v0, xn) = v6 &
% 38.35/5.93 | aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & $i(v7) &
% 38.35/5.93 | $i(v6) & ( ~ (v5 = 0) | ~ (v4 = 0) | ( ~ (v7 = v6) & ~ (v3 =
% 38.35/5.93 | v2)))))
% 38.35/5.93 |
% 38.35/5.93 | GROUND_INST: instantiating (mMulComm) with xn, xm, all_35_1, simplifying with
% 38.35/5.93 | (12), (13), (23) gives:
% 38.35/5.94 | (29) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtasdt0(xm, xn) = v2 &
% 38.35/5.94 | aNaturalNumber0(xn) = v0 & aNaturalNumber0(xm) = v1 & $i(v2) & ( ~
% 38.35/5.94 | (v1 = 0) | ~ (v0 = 0) | v2 = all_35_1))
% 38.35/5.94 |
% 38.35/5.94 | GROUND_INST: instantiating (mSortsB_02) with xn, xm, all_35_1, simplifying
% 38.35/5.94 | with (12), (13), (23) gives:
% 38.35/5.94 | (30) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 38.35/5.94 | (aNaturalNumber0(all_35_1) = v2 & aNaturalNumber0(xn) = v0 &
% 38.35/5.94 | aNaturalNumber0(xm) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 38.35/5.94 |
% 38.35/5.94 | GROUND_INST: instantiating (mMulComm) with xn, all_35_3, all_35_2, simplifying
% 38.35/5.94 | with (13), (21), (24) gives:
% 38.35/5.94 | (31) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtasdt0(all_35_3, xn) =
% 38.35/5.94 | v2 & aNaturalNumber0(all_35_3) = v1 & aNaturalNumber0(xn) = v0 &
% 38.35/5.94 | $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_35_2))
% 38.35/5.94 |
% 38.35/5.94 | GROUND_INST: instantiating (mSortsB_02) with xn, all_35_3, all_35_2,
% 38.35/5.94 | simplifying with (13), (21), (24) gives:
% 38.35/5.94 | (32) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 38.35/5.94 | (aNaturalNumber0(all_35_2) = v2 & aNaturalNumber0(all_35_3) = v1 &
% 38.35/5.94 | aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 38.35/5.94 |
% 38.35/5.94 | GROUND_INST: instantiating (5) with xl, xm, simplifying with (9), (11), (12)
% 38.35/5.94 | gives:
% 38.35/5.94 | (33) xm = sz00 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 38.35/5.94 | (sdtlseqdt0(xl, xm) = v2 & aNaturalNumber0(xm) = v1 &
% 38.35/5.94 | aNaturalNumber0(xl) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 38.35/5.94 |
% 38.35/5.94 | GROUND_INST: instantiating (mDefDiv) with xl, xm, 0, simplifying with (9),
% 38.35/5.94 | (11), (12) gives:
% 38.35/5.94 | (34) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xm) = v1 &
% 38.35/5.94 | aNaturalNumber0(xl) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | ? [v0:
% 38.35/5.94 | $i] : (sdtasdt0(xl, v0) = xm & aNaturalNumber0(v0) = 0 & $i(v0))
% 38.35/5.94 |
% 38.35/5.94 | GROUND_INST: instantiating (4) with xl, xm, all_35_3, simplifying with (11),
% 38.35/5.94 | (12), (25) gives:
% 38.63/5.94 | (35) xl = sz00 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 38.63/5.94 | (doDivides0(xl, xm) = v2 & aNaturalNumber0(xm) = v1 &
% 38.63/5.94 | aNaturalNumber0(xl) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 =
% 38.63/5.94 | 0))) | ( ! [v0: any] : (v0 = all_35_3 | ~ (sdtasdt0(xl, v0) =
% 38.63/5.94 | xm) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 38.63/5.94 | aNaturalNumber0(v0) = v1)) & ! [v0: $i] : ( ~ (sdtasdt0(xl,
% 38.63/5.94 | all_35_3) = v0) | ~ $i(all_35_3) | (v0 = xm &
% 38.63/5.94 | aNaturalNumber0(all_35_3) = 0)))
% 38.63/5.94 |
% 38.63/5.94 | GROUND_INST: instantiating (4) with xl, all_35_1, all_35_0, simplifying with
% 38.63/5.94 | (11), (22), (26) gives:
% 38.63/5.95 | (36) xl = sz00 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 38.63/5.95 | (doDivides0(xl, all_35_1) = v2 & aNaturalNumber0(all_35_1) = v1 &
% 38.63/5.95 | aNaturalNumber0(xl) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 =
% 38.63/5.95 | 0))) | ( ! [v0: any] : (v0 = all_35_0 | ~ (sdtasdt0(xl, v0) =
% 38.63/5.95 | all_35_1) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 38.63/5.95 | aNaturalNumber0(v0) = v1)) & ! [v0: $i] : ( ~ (sdtasdt0(xl,
% 38.63/5.95 | all_35_0) = v0) | ~ $i(all_35_0) | (v0 = all_35_1 &
% 38.63/5.95 | aNaturalNumber0(all_35_0) = 0)))
% 38.63/5.95 |
% 38.63/5.95 | DELTA: instantiating (32) with fresh symbols all_42_0, all_42_1, all_42_2
% 38.63/5.95 | gives:
% 38.63/5.95 | (37) aNaturalNumber0(all_35_2) = all_42_0 & aNaturalNumber0(all_35_3) =
% 38.63/5.95 | all_42_1 & aNaturalNumber0(xn) = all_42_2 & ( ~ (all_42_1 = 0) | ~
% 38.63/5.95 | (all_42_2 = 0) | all_42_0 = 0)
% 38.63/5.95 |
% 38.63/5.95 | ALPHA: (37) implies:
% 38.63/5.95 | (38) aNaturalNumber0(xn) = all_42_2
% 38.63/5.95 | (39) aNaturalNumber0(all_35_3) = all_42_1
% 38.63/5.95 | (40) aNaturalNumber0(all_35_2) = all_42_0
% 38.63/5.95 | (41) ~ (all_42_1 = 0) | ~ (all_42_2 = 0) | all_42_0 = 0
% 38.63/5.95 |
% 38.63/5.95 | DELTA: instantiating (30) with fresh symbols all_44_0, all_44_1, all_44_2
% 38.63/5.95 | gives:
% 38.63/5.95 | (42) aNaturalNumber0(all_35_1) = all_44_0 & aNaturalNumber0(xn) = all_44_2
% 38.63/5.95 | & aNaturalNumber0(xm) = all_44_1 & ( ~ (all_44_1 = 0) | ~ (all_44_2 =
% 38.63/5.95 | 0) | all_44_0 = 0)
% 38.63/5.95 |
% 38.63/5.95 | ALPHA: (42) implies:
% 38.63/5.95 | (43) aNaturalNumber0(xm) = all_44_1
% 38.63/5.95 | (44) aNaturalNumber0(xn) = all_44_2
% 38.63/5.95 | (45) aNaturalNumber0(all_35_1) = all_44_0
% 38.63/5.95 | (46) ~ (all_44_1 = 0) | ~ (all_44_2 = 0) | all_44_0 = 0
% 38.63/5.95 |
% 38.63/5.95 | DELTA: instantiating (29) with fresh symbols all_46_0, all_46_1, all_46_2
% 38.63/5.95 | gives:
% 38.63/5.95 | (47) sdtasdt0(xm, xn) = all_46_0 & aNaturalNumber0(xn) = all_46_2 &
% 38.63/5.95 | aNaturalNumber0(xm) = all_46_1 & $i(all_46_0) & ( ~ (all_46_1 = 0) |
% 38.63/5.95 | ~ (all_46_2 = 0) | all_46_0 = all_35_1)
% 38.63/5.95 |
% 38.63/5.95 | ALPHA: (47) implies:
% 38.63/5.95 | (48) aNaturalNumber0(xm) = all_46_1
% 38.63/5.95 | (49) aNaturalNumber0(xn) = all_46_2
% 38.63/5.95 | (50) sdtasdt0(xm, xn) = all_46_0
% 38.63/5.95 | (51) ~ (all_46_1 = 0) | ~ (all_46_2 = 0) | all_46_0 = all_35_1
% 38.63/5.95 |
% 38.63/5.95 | DELTA: instantiating (31) with fresh symbols all_48_0, all_48_1, all_48_2
% 38.63/5.95 | gives:
% 38.63/5.95 | (52) sdtasdt0(all_35_3, xn) = all_48_0 & aNaturalNumber0(all_35_3) =
% 38.63/5.95 | all_48_1 & aNaturalNumber0(xn) = all_48_2 & $i(all_48_0) & ( ~
% 38.63/5.95 | (all_48_1 = 0) | ~ (all_48_2 = 0) | all_48_0 = all_35_2)
% 38.63/5.95 |
% 38.63/5.95 | ALPHA: (52) implies:
% 38.63/5.95 | (53) aNaturalNumber0(xn) = all_48_2
% 38.63/5.95 | (54) aNaturalNumber0(all_35_3) = all_48_1
% 38.63/5.95 | (55) sdtasdt0(all_35_3, xn) = all_48_0
% 38.68/5.95 | (56) ~ (all_48_1 = 0) | ~ (all_48_2 = 0) | all_48_0 = all_35_2
% 38.68/5.95 |
% 38.68/5.95 | BETA: splitting (27) gives:
% 38.68/5.95 |
% 38.68/5.95 | Case 1:
% 38.68/5.95 | |
% 38.68/5.95 | | (57) xl = sz00
% 38.68/5.95 | |
% 38.68/5.95 | | REDUCE: (8), (57) imply:
% 38.68/5.95 | | (58) $false
% 38.68/5.95 | |
% 38.68/5.95 | | CLOSE: (58) is inconsistent.
% 38.68/5.95 | |
% 38.68/5.95 | Case 2:
% 38.68/5.95 | |
% 38.68/5.96 | | (59) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 38.68/5.96 | | ~ (sdtasdt0(xl, v1) = v3) | ~ (sdtasdt0(xl, v0) = v2) | ~ $i(v1)
% 38.68/5.96 | | | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: $i] : ? [v7:
% 38.68/5.96 | | $i] : (sdtasdt0(v1, xl) = v7 & sdtasdt0(v0, xl) = v6 &
% 38.68/5.96 | | aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & $i(v7) &
% 38.68/5.96 | | $i(v6) & ( ~ (v5 = 0) | ~ (v4 = 0) | ( ~ (v7 = v6) & ~ (v3 =
% 38.68/5.96 | | v2)))))
% 38.68/5.96 | |
% 38.68/5.96 | | GROUND_INST: instantiating (15) with 0, all_46_1, xm, simplifying with (7),
% 38.68/5.96 | | (48) gives:
% 38.68/5.96 | | (60) all_46_1 = 0
% 38.68/5.96 | |
% 38.68/5.96 | | GROUND_INST: instantiating (15) with all_44_1, all_46_1, xm, simplifying
% 38.68/5.96 | | with (43), (48) gives:
% 38.68/5.96 | | (61) all_46_1 = all_44_1
% 38.68/5.96 | |
% 38.68/5.96 | | GROUND_INST: instantiating (15) with 0, all_46_2, xn, simplifying with (10),
% 38.68/5.96 | | (49) gives:
% 38.68/5.96 | | (62) all_46_2 = 0
% 38.68/5.96 | |
% 38.68/5.96 | | GROUND_INST: instantiating (15) with all_44_2, all_46_2, xn, simplifying
% 38.68/5.96 | | with (44), (49) gives:
% 38.68/5.96 | | (63) all_46_2 = all_44_2
% 38.68/5.96 | |
% 38.68/5.96 | | GROUND_INST: instantiating (15) with all_46_2, all_48_2, xn, simplifying
% 38.68/5.96 | | with (49), (53) gives:
% 38.68/5.96 | | (64) all_48_2 = all_46_2
% 38.68/5.96 | |
% 38.68/5.96 | | GROUND_INST: instantiating (15) with all_42_2, all_48_2, xn, simplifying
% 38.68/5.96 | | with (38), (53) gives:
% 38.68/5.96 | | (65) all_48_2 = all_42_2
% 38.68/5.96 | |
% 38.68/5.96 | | GROUND_INST: instantiating (15) with all_42_1, all_48_1, all_35_3,
% 38.68/5.96 | | simplifying with (39), (54) gives:
% 38.68/5.96 | | (66) all_48_1 = all_42_1
% 38.68/5.96 | |
% 38.68/5.96 | | COMBINE_EQS: (64), (65) imply:
% 38.68/5.96 | | (67) all_46_2 = all_42_2
% 38.68/5.96 | |
% 38.68/5.96 | | SIMP: (67) implies:
% 38.68/5.96 | | (68) all_46_2 = all_42_2
% 38.68/5.96 | |
% 38.68/5.96 | | COMBINE_EQS: (60), (61) imply:
% 38.68/5.96 | | (69) all_44_1 = 0
% 38.68/5.96 | |
% 38.68/5.96 | | COMBINE_EQS: (62), (63) imply:
% 38.68/5.96 | | (70) all_44_2 = 0
% 38.68/5.96 | |
% 38.68/5.96 | | COMBINE_EQS: (63), (68) imply:
% 38.68/5.96 | | (71) all_44_2 = all_42_2
% 38.68/5.96 | |
% 38.68/5.96 | | COMBINE_EQS: (70), (71) imply:
% 38.68/5.96 | | (72) all_42_2 = 0
% 38.68/5.96 | |
% 38.68/5.96 | | COMBINE_EQS: (65), (72) imply:
% 38.68/5.96 | | (73) all_48_2 = 0
% 38.68/5.96 | |
% 38.68/5.96 | | BETA: splitting (51) gives:
% 38.68/5.96 | |
% 38.68/5.96 | | Case 1:
% 38.68/5.96 | | |
% 38.68/5.96 | | | (74) ~ (all_46_1 = 0)
% 38.68/5.96 | | |
% 38.68/5.96 | | | REDUCE: (60), (74) imply:
% 38.68/5.96 | | | (75) $false
% 38.68/5.96 | | |
% 38.68/5.96 | | | CLOSE: (75) is inconsistent.
% 38.68/5.96 | | |
% 38.68/5.96 | | Case 2:
% 38.68/5.96 | | |
% 38.68/5.96 | | | (76) ~ (all_46_2 = 0) | all_46_0 = all_35_1
% 38.68/5.96 | | |
% 38.68/5.96 | | | BETA: splitting (35) gives:
% 38.68/5.96 | | |
% 38.68/5.96 | | | Case 1:
% 38.68/5.96 | | | |
% 38.68/5.96 | | | | (77) xl = sz00
% 38.68/5.96 | | | |
% 38.68/5.96 | | | | REDUCE: (8), (77) imply:
% 38.68/5.96 | | | | (78) $false
% 38.68/5.96 | | | |
% 38.68/5.96 | | | | CLOSE: (78) is inconsistent.
% 38.68/5.96 | | | |
% 38.68/5.96 | | | Case 2:
% 38.68/5.96 | | | |
% 38.68/5.96 | | | | (79) ? [v0: any] : ? [v1: any] : ? [v2: any] : (doDivides0(xl, xm)
% 38.68/5.96 | | | | = v2 & aNaturalNumber0(xm) = v1 & aNaturalNumber0(xl) = v0 & (
% 38.68/5.96 | | | | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) | ( ! [v0: any] :
% 38.68/5.96 | | | | (v0 = all_35_3 | ~ (sdtasdt0(xl, v0) = xm) | ~ $i(v0) | ?
% 38.68/5.96 | | | | [v1: int] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1)) & !
% 38.68/5.96 | | | | [v0: $i] : ( ~ (sdtasdt0(xl, all_35_3) = v0) | ~ $i(all_35_3)
% 38.68/5.96 | | | | | (v0 = xm & aNaturalNumber0(all_35_3) = 0)))
% 38.68/5.96 | | | |
% 38.68/5.96 | | | | BETA: splitting (34) gives:
% 38.68/5.96 | | | |
% 38.68/5.96 | | | | Case 1:
% 38.68/5.96 | | | | |
% 38.68/5.96 | | | | | (80) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xm) = v1 &
% 38.68/5.96 | | | | | aNaturalNumber0(xl) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 38.68/5.96 | | | | |
% 38.68/5.96 | | | | | DELTA: instantiating (80) with fresh symbols all_72_0, all_72_1 gives:
% 38.68/5.96 | | | | | (81) aNaturalNumber0(xm) = all_72_0 & aNaturalNumber0(xl) =
% 38.68/5.96 | | | | | all_72_1 & ( ~ (all_72_0 = 0) | ~ (all_72_1 = 0))
% 38.68/5.96 | | | | |
% 38.68/5.96 | | | | | ALPHA: (81) implies:
% 38.68/5.96 | | | | | (82) aNaturalNumber0(xl) = all_72_1
% 38.68/5.96 | | | | | (83) aNaturalNumber0(xm) = all_72_0
% 38.68/5.96 | | | | | (84) ~ (all_72_0 = 0) | ~ (all_72_1 = 0)
% 38.68/5.96 | | | | |
% 38.68/5.97 | | | | | GROUND_INST: instantiating (15) with 0, all_72_1, xl, simplifying with
% 38.68/5.97 | | | | | (6), (82) gives:
% 38.68/5.97 | | | | | (85) all_72_1 = 0
% 38.68/5.97 | | | | |
% 38.68/5.97 | | | | | GROUND_INST: instantiating (15) with 0, all_72_0, xm, simplifying with
% 38.68/5.97 | | | | | (7), (83) gives:
% 38.68/5.97 | | | | | (86) all_72_0 = 0
% 38.68/5.97 | | | | |
% 38.68/5.97 | | | | | BETA: splitting (84) gives:
% 38.68/5.97 | | | | |
% 38.68/5.97 | | | | | Case 1:
% 38.68/5.97 | | | | | |
% 38.68/5.97 | | | | | | (87) ~ (all_72_0 = 0)
% 38.68/5.97 | | | | | |
% 38.68/5.97 | | | | | | REDUCE: (86), (87) imply:
% 38.68/5.97 | | | | | | (88) $false
% 38.68/5.97 | | | | | |
% 38.68/5.97 | | | | | | CLOSE: (88) is inconsistent.
% 38.68/5.97 | | | | | |
% 38.68/5.97 | | | | | Case 2:
% 38.68/5.97 | | | | | |
% 38.68/5.97 | | | | | | (89) ~ (all_72_1 = 0)
% 38.68/5.97 | | | | | |
% 38.68/5.97 | | | | | | REDUCE: (85), (89) imply:
% 38.68/5.97 | | | | | | (90) $false
% 38.68/5.97 | | | | | |
% 38.68/5.97 | | | | | | CLOSE: (90) is inconsistent.
% 38.68/5.97 | | | | | |
% 38.68/5.97 | | | | | End of split
% 38.68/5.97 | | | | |
% 38.68/5.97 | | | | Case 2:
% 38.68/5.97 | | | | |
% 38.68/5.97 | | | | | (91) ? [v0: $i] : (sdtasdt0(xl, v0) = xm & aNaturalNumber0(v0) = 0
% 38.68/5.97 | | | | | & $i(v0))
% 38.68/5.97 | | | | |
% 38.68/5.97 | | | | | DELTA: instantiating (91) with fresh symbol all_72_0 gives:
% 38.68/5.97 | | | | | (92) sdtasdt0(xl, all_72_0) = xm & aNaturalNumber0(all_72_0) = 0 &
% 38.68/5.97 | | | | | $i(all_72_0)
% 38.68/5.97 | | | | |
% 38.68/5.97 | | | | | ALPHA: (92) implies:
% 38.68/5.97 | | | | | (93) $i(all_72_0)
% 38.68/5.97 | | | | | (94) aNaturalNumber0(all_72_0) = 0
% 38.68/5.97 | | | | | (95) sdtasdt0(xl, all_72_0) = xm
% 38.68/5.97 | | | | |
% 38.68/5.97 | | | | | BETA: splitting (46) gives:
% 38.68/5.97 | | | | |
% 38.68/5.97 | | | | | Case 1:
% 38.68/5.97 | | | | | |
% 38.68/5.97 | | | | | | (96) ~ (all_44_1 = 0)
% 38.68/5.97 | | | | | |
% 38.68/5.97 | | | | | | REDUCE: (69), (96) imply:
% 38.68/5.97 | | | | | | (97) $false
% 38.68/5.97 | | | | | |
% 38.68/5.97 | | | | | | CLOSE: (97) is inconsistent.
% 38.68/5.97 | | | | | |
% 38.68/5.97 | | | | | Case 2:
% 38.68/5.97 | | | | | |
% 38.68/5.97 | | | | | | (98) ~ (all_44_2 = 0) | all_44_0 = 0
% 38.68/5.97 | | | | | |
% 38.68/5.97 | | | | | | BETA: splitting (79) gives:
% 38.68/5.97 | | | | | |
% 38.68/5.97 | | | | | | Case 1:
% 38.68/5.97 | | | | | | |
% 38.68/5.97 | | | | | | | (99) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 38.68/5.97 | | | | | | | (doDivides0(xl, xm) = v2 & aNaturalNumber0(xm) = v1 &
% 38.68/5.97 | | | | | | | aNaturalNumber0(xl) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) |
% 38.68/5.97 | | | | | | | ~ (v0 = 0)))
% 38.68/5.97 | | | | | | |
% 38.68/5.97 | | | | | | | DELTA: instantiating (99) with fresh symbols all_80_0, all_80_1,
% 38.68/5.97 | | | | | | | all_80_2 gives:
% 38.68/5.97 | | | | | | | (100) doDivides0(xl, xm) = all_80_0 & aNaturalNumber0(xm) =
% 38.68/5.97 | | | | | | | all_80_1 & aNaturalNumber0(xl) = all_80_2 & ( ~ (all_80_0
% 38.68/5.97 | | | | | | | = 0) | ~ (all_80_1 = 0) | ~ (all_80_2 = 0))
% 38.68/5.97 | | | | | | |
% 38.68/5.97 | | | | | | | ALPHA: (100) implies:
% 38.68/5.97 | | | | | | | (101) aNaturalNumber0(xl) = all_80_2
% 38.68/5.97 | | | | | | | (102) aNaturalNumber0(xm) = all_80_1
% 38.68/5.97 | | | | | | | (103) doDivides0(xl, xm) = all_80_0
% 38.68/5.97 | | | | | | | (104) ~ (all_80_0 = 0) | ~ (all_80_1 = 0) | ~ (all_80_2 = 0)
% 38.68/5.97 | | | | | | |
% 38.68/5.97 | | | | | | | GROUND_INST: instantiating (15) with 0, all_80_2, xl, simplifying
% 38.68/5.97 | | | | | | | with (6), (101) gives:
% 38.68/5.97 | | | | | | | (105) all_80_2 = 0
% 38.68/5.97 | | | | | | |
% 38.68/5.97 | | | | | | | GROUND_INST: instantiating (15) with 0, all_80_1, xm, simplifying
% 38.68/5.97 | | | | | | | with (7), (102) gives:
% 38.68/5.97 | | | | | | | (106) all_80_1 = 0
% 38.68/5.97 | | | | | | |
% 38.68/5.97 | | | | | | | GROUND_INST: instantiating (17) with 0, all_80_0, xm, xl,
% 38.68/5.97 | | | | | | | simplifying with (9), (103) gives:
% 38.68/5.97 | | | | | | | (107) all_80_0 = 0
% 38.68/5.97 | | | | | | |
% 38.68/5.97 | | | | | | | BETA: splitting (104) gives:
% 38.68/5.97 | | | | | | |
% 38.68/5.97 | | | | | | | Case 1:
% 38.68/5.97 | | | | | | | |
% 38.68/5.97 | | | | | | | | (108) ~ (all_80_0 = 0)
% 38.68/5.97 | | | | | | | |
% 38.68/5.97 | | | | | | | | REDUCE: (107), (108) imply:
% 38.68/5.97 | | | | | | | | (109) $false
% 38.68/5.97 | | | | | | | |
% 38.68/5.97 | | | | | | | | CLOSE: (109) is inconsistent.
% 38.68/5.97 | | | | | | | |
% 38.68/5.97 | | | | | | | Case 2:
% 38.68/5.97 | | | | | | | |
% 38.68/5.97 | | | | | | | | (110) ~ (all_80_1 = 0) | ~ (all_80_2 = 0)
% 38.68/5.97 | | | | | | | |
% 38.68/5.97 | | | | | | | | BETA: splitting (110) gives:
% 38.68/5.97 | | | | | | | |
% 38.68/5.97 | | | | | | | | Case 1:
% 38.68/5.97 | | | | | | | | |
% 38.68/5.97 | | | | | | | | | (111) ~ (all_80_1 = 0)
% 38.68/5.97 | | | | | | | | |
% 38.68/5.97 | | | | | | | | | REDUCE: (106), (111) imply:
% 38.68/5.97 | | | | | | | | | (112) $false
% 38.68/5.97 | | | | | | | | |
% 38.68/5.97 | | | | | | | | | CLOSE: (112) is inconsistent.
% 38.68/5.97 | | | | | | | | |
% 38.68/5.97 | | | | | | | | Case 2:
% 38.68/5.97 | | | | | | | | |
% 38.68/5.97 | | | | | | | | | (113) ~ (all_80_2 = 0)
% 38.68/5.97 | | | | | | | | |
% 38.68/5.97 | | | | | | | | | REDUCE: (105), (113) imply:
% 38.68/5.97 | | | | | | | | | (114) $false
% 38.68/5.97 | | | | | | | | |
% 38.68/5.97 | | | | | | | | | CLOSE: (114) is inconsistent.
% 38.68/5.97 | | | | | | | | |
% 38.68/5.97 | | | | | | | | End of split
% 38.68/5.97 | | | | | | | |
% 38.68/5.97 | | | | | | | End of split
% 38.68/5.97 | | | | | | |
% 38.68/5.97 | | | | | | Case 2:
% 38.68/5.97 | | | | | | |
% 38.68/5.97 | | | | | | | (115) ! [v0: any] : (v0 = all_35_3 | ~ (sdtasdt0(xl, v0) =
% 38.68/5.97 | | | | | | | xm) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 38.68/5.97 | | | | | | | aNaturalNumber0(v0) = v1)) & ! [v0: $i] : ( ~
% 38.68/5.97 | | | | | | | (sdtasdt0(xl, all_35_3) = v0) | ~ $i(all_35_3) | (v0 =
% 38.68/5.97 | | | | | | | xm & aNaturalNumber0(all_35_3) = 0))
% 38.68/5.97 | | | | | | |
% 38.68/5.97 | | | | | | | ALPHA: (115) implies:
% 38.68/5.97 | | | | | | | (116) ! [v0: any] : (v0 = all_35_3 | ~ (sdtasdt0(xl, v0) =
% 38.68/5.97 | | | | | | | xm) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 38.68/5.97 | | | | | | | aNaturalNumber0(v0) = v1))
% 38.68/5.97 | | | | | | |
% 38.68/5.97 | | | | | | | BETA: splitting (76) gives:
% 38.68/5.97 | | | | | | |
% 38.68/5.97 | | | | | | | Case 1:
% 38.68/5.97 | | | | | | | |
% 38.68/5.97 | | | | | | | | (117) ~ (all_46_2 = 0)
% 38.68/5.97 | | | | | | | |
% 38.68/5.97 | | | | | | | | REDUCE: (62), (117) imply:
% 38.68/5.97 | | | | | | | | (118) $false
% 38.68/5.97 | | | | | | | |
% 38.68/5.97 | | | | | | | | CLOSE: (118) is inconsistent.
% 38.68/5.97 | | | | | | | |
% 38.68/5.97 | | | | | | | Case 2:
% 38.68/5.97 | | | | | | | |
% 38.68/5.97 | | | | | | | | (119) all_46_0 = all_35_1
% 38.68/5.97 | | | | | | | |
% 38.68/5.97 | | | | | | | | REDUCE: (50), (119) imply:
% 38.68/5.97 | | | | | | | | (120) sdtasdt0(xm, xn) = all_35_1
% 38.68/5.97 | | | | | | | |
% 38.68/5.97 | | | | | | | | BETA: splitting (98) gives:
% 38.68/5.97 | | | | | | | |
% 38.68/5.97 | | | | | | | | Case 1:
% 38.68/5.97 | | | | | | | | |
% 38.68/5.97 | | | | | | | | | (121) ~ (all_44_2 = 0)
% 38.68/5.97 | | | | | | | | |
% 38.68/5.98 | | | | | | | | | REDUCE: (70), (121) imply:
% 38.68/5.98 | | | | | | | | | (122) $false
% 38.68/5.98 | | | | | | | | |
% 38.68/5.98 | | | | | | | | | CLOSE: (122) is inconsistent.
% 38.68/5.98 | | | | | | | | |
% 38.68/5.98 | | | | | | | | Case 2:
% 38.68/5.98 | | | | | | | | |
% 38.68/5.98 | | | | | | | | | (123) all_44_0 = 0
% 38.68/5.98 | | | | | | | | |
% 38.68/5.98 | | | | | | | | | REDUCE: (45), (123) imply:
% 38.68/5.98 | | | | | | | | | (124) aNaturalNumber0(all_35_1) = 0
% 38.68/5.98 | | | | | | | | |
% 38.68/5.98 | | | | | | | | | GROUND_INST: instantiating (2) with all_72_0, simplifying with
% 38.68/5.98 | | | | | | | | | (93), (94) gives:
% 38.68/5.98 | | | | | | | | | (125) all_72_0 = sz00 | ! [v0: $i] : ! [v1: $i] : ! [v2:
% 38.68/5.98 | | | | | | | | | $i] : ! [v3: $i] : (v1 = v0 | ~
% 38.68/5.98 | | | | | | | | | (sdtasdt0(all_72_0, v1) = v3) | ~
% 38.68/5.98 | | | | | | | | | (sdtasdt0(all_72_0, v0) = v2) | ~ $i(v1) | ~
% 38.68/5.98 | | | | | | | | | $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: $i]
% 38.68/5.98 | | | | | | | | | : ? [v7: $i] : (sdtasdt0(v1, all_72_0) = v7 &
% 38.68/5.98 | | | | | | | | | sdtasdt0(v0, all_72_0) = v6 & aNaturalNumber0(v1)
% 38.68/5.98 | | | | | | | | | = v5 & aNaturalNumber0(v0) = v4 & $i(v7) & $i(v6)
% 38.68/5.98 | | | | | | | | | & ( ~ (v5 = 0) | ~ (v4 = 0) | ( ~ (v7 = v6) & ~
% 38.68/5.98 | | | | | | | | | (v3 = v2)))))
% 38.68/5.98 | | | | | | | | |
% 38.68/5.98 | | | | | | | | | GROUND_INST: instantiating (116) with all_72_0, simplifying
% 38.68/5.98 | | | | | | | | | with (93), (95) gives:
% 38.68/5.98 | | | | | | | | | (126) all_72_0 = all_35_3 | ? [v0: int] : ( ~ (v0 = 0) &
% 38.68/5.98 | | | | | | | | | aNaturalNumber0(all_72_0) = v0)
% 38.68/5.98 | | | | | | | | |
% 38.68/5.98 | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xl, all_72_0, xm,
% 38.68/5.98 | | | | | | | | | simplifying with (11), (93), (95) gives:
% 38.68/5.98 | | | | | | | | | (127) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 38.68/5.98 | | | | | | | | | (sdtasdt0(all_72_0, xl) = v2 &
% 38.68/5.98 | | | | | | | | | aNaturalNumber0(all_72_0) = v1 &
% 38.68/5.98 | | | | | | | | | aNaturalNumber0(xl) = v0 & $i(v2) & ( ~ (v1 = 0) |
% 38.68/5.98 | | | | | | | | | ~ (v0 = 0) | v2 = xm))
% 38.68/5.98 | | | | | | | | |
% 38.68/5.98 | | | | | | | | | GROUND_INST: instantiating (mMulAsso) with xl, all_72_0, xn,
% 38.68/5.98 | | | | | | | | | xm, all_35_1, simplifying with (11), (13), (93),
% 38.68/5.98 | | | | | | | | | (95), (120) gives:
% 38.68/5.98 | | | | | | | | | (128) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3:
% 38.68/5.98 | | | | | | | | | $i] : ? [v4: $i] : (sdtasdt0(all_72_0, xn) = v3 &
% 38.68/5.98 | | | | | | | | | sdtasdt0(xl, v3) = v4 & aNaturalNumber0(all_72_0) =
% 38.68/5.98 | | | | | | | | | v1 & aNaturalNumber0(xn) = v2 & aNaturalNumber0(xl)
% 38.68/5.98 | | | | | | | | | = v0 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 = 0)
% 38.68/5.98 | | | | | | | | | | ~ (v0 = 0) | v4 = all_35_1))
% 38.68/5.98 | | | | | | | | |
% 38.68/5.98 | | | | | | | | | GROUND_INST: instantiating (mMulComm) with all_35_3, xn,
% 38.68/5.98 | | | | | | | | | all_48_0, simplifying with (13), (21), (55) gives:
% 38.68/5.98 | | | | | | | | | (129) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 38.68/5.98 | | | | | | | | | (sdtasdt0(xn, all_35_3) = v2 &
% 38.68/5.98 | | | | | | | | | aNaturalNumber0(all_35_3) = v0 &
% 38.68/5.98 | | | | | | | | | aNaturalNumber0(xn) = v1 & $i(v2) & ( ~ (v1 = 0) |
% 38.68/5.98 | | | | | | | | | ~ (v0 = 0) | v2 = all_48_0))
% 38.68/5.98 | | | | | | | | |
% 38.68/5.98 | | | | | | | | | GROUND_INST: instantiating (mSortsB_02) with all_35_3, xn,
% 38.68/5.98 | | | | | | | | | all_48_0, simplifying with (13), (21), (55) gives:
% 38.68/5.98 | | | | | | | | | (130) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 38.68/5.98 | | | | | | | | | (aNaturalNumber0(all_48_0) = v2 &
% 38.68/5.98 | | | | | | | | | aNaturalNumber0(all_35_3) = v0 &
% 38.68/5.98 | | | | | | | | | aNaturalNumber0(xn) = v1 & ( ~ (v1 = 0) | ~ (v0 =
% 38.68/5.98 | | | | | | | | | 0) | v2 = 0))
% 38.68/5.98 | | | | | | | | |
% 38.68/5.98 | | | | | | | | | DELTA: instantiating (130) with fresh symbols all_93_0,
% 38.68/5.98 | | | | | | | | | all_93_1, all_93_2 gives:
% 38.68/5.98 | | | | | | | | | (131) aNaturalNumber0(all_48_0) = all_93_0 &
% 38.68/5.98 | | | | | | | | | aNaturalNumber0(all_35_3) = all_93_2 &
% 38.68/5.98 | | | | | | | | | aNaturalNumber0(xn) = all_93_1 & ( ~ (all_93_1 = 0) |
% 38.68/5.98 | | | | | | | | | ~ (all_93_2 = 0) | all_93_0 = 0)
% 38.68/5.98 | | | | | | | | |
% 38.68/5.98 | | | | | | | | | ALPHA: (131) implies:
% 38.68/5.98 | | | | | | | | | (132) aNaturalNumber0(xn) = all_93_1
% 38.68/5.98 | | | | | | | | | (133) aNaturalNumber0(all_35_3) = all_93_2
% 38.68/5.98 | | | | | | | | |
% 38.68/5.98 | | | | | | | | | DELTA: instantiating (129) with fresh symbols all_95_0,
% 38.68/5.98 | | | | | | | | | all_95_1, all_95_2 gives:
% 38.68/5.98 | | | | | | | | | (134) sdtasdt0(xn, all_35_3) = all_95_0 &
% 38.68/5.98 | | | | | | | | | aNaturalNumber0(all_35_3) = all_95_2 &
% 38.68/5.98 | | | | | | | | | aNaturalNumber0(xn) = all_95_1 & $i(all_95_0) & ( ~
% 38.68/5.98 | | | | | | | | | (all_95_1 = 0) | ~ (all_95_2 = 0) | all_95_0 =
% 38.68/5.98 | | | | | | | | | all_48_0)
% 38.68/5.98 | | | | | | | | |
% 38.68/5.98 | | | | | | | | | ALPHA: (134) implies:
% 38.68/5.98 | | | | | | | | | (135) aNaturalNumber0(xn) = all_95_1
% 38.68/5.98 | | | | | | | | | (136) aNaturalNumber0(all_35_3) = all_95_2
% 38.68/5.98 | | | | | | | | | (137) sdtasdt0(xn, all_35_3) = all_95_0
% 38.68/5.98 | | | | | | | | |
% 38.68/5.98 | | | | | | | | | DELTA: instantiating (127) with fresh symbols all_97_0,
% 38.68/5.98 | | | | | | | | | all_97_1, all_97_2 gives:
% 38.68/5.98 | | | | | | | | | (138) sdtasdt0(all_72_0, xl) = all_97_0 &
% 38.68/5.98 | | | | | | | | | aNaturalNumber0(all_72_0) = all_97_1 &
% 38.68/5.98 | | | | | | | | | aNaturalNumber0(xl) = all_97_2 & $i(all_97_0) & ( ~
% 38.68/5.98 | | | | | | | | | (all_97_1 = 0) | ~ (all_97_2 = 0) | all_97_0 = xm)
% 38.68/5.98 | | | | | | | | |
% 38.68/5.98 | | | | | | | | | ALPHA: (138) implies:
% 38.68/5.98 | | | | | | | | | (139) $i(all_97_0)
% 38.68/5.98 | | | | | | | | | (140) aNaturalNumber0(xl) = all_97_2
% 38.68/5.98 | | | | | | | | | (141) aNaturalNumber0(all_72_0) = all_97_1
% 38.68/5.98 | | | | | | | | | (142) sdtasdt0(all_72_0, xl) = all_97_0
% 38.68/5.98 | | | | | | | | | (143) ~ (all_97_1 = 0) | ~ (all_97_2 = 0) | all_97_0 = xm
% 38.68/5.98 | | | | | | | | |
% 38.68/5.98 | | | | | | | | | DELTA: instantiating (128) with fresh symbols all_99_0,
% 38.68/5.98 | | | | | | | | | all_99_1, all_99_2, all_99_3, all_99_4 gives:
% 38.68/5.98 | | | | | | | | | (144) sdtasdt0(all_72_0, xn) = all_99_1 & sdtasdt0(xl,
% 38.68/5.98 | | | | | | | | | all_99_1) = all_99_0 & aNaturalNumber0(all_72_0) =
% 38.68/5.98 | | | | | | | | | all_99_3 & aNaturalNumber0(xn) = all_99_2 &
% 38.68/5.98 | | | | | | | | | aNaturalNumber0(xl) = all_99_4 & $i(all_99_0) &
% 38.68/5.98 | | | | | | | | | $i(all_99_1) & ( ~ (all_99_2 = 0) | ~ (all_99_3 = 0)
% 38.68/5.98 | | | | | | | | | | ~ (all_99_4 = 0) | all_99_0 = all_35_1)
% 38.68/5.98 | | | | | | | | |
% 38.68/5.98 | | | | | | | | | ALPHA: (144) implies:
% 38.68/5.98 | | | | | | | | | (145) $i(all_99_1)
% 38.68/5.98 | | | | | | | | | (146) aNaturalNumber0(xl) = all_99_4
% 38.68/5.98 | | | | | | | | | (147) aNaturalNumber0(xn) = all_99_2
% 38.68/5.98 | | | | | | | | | (148) aNaturalNumber0(all_72_0) = all_99_3
% 38.68/5.99 | | | | | | | | | (149) sdtasdt0(xl, all_99_1) = all_99_0
% 38.68/5.99 | | | | | | | | | (150) sdtasdt0(all_72_0, xn) = all_99_1
% 38.68/5.99 | | | | | | | | | (151) ~ (all_99_2 = 0) | ~ (all_99_3 = 0) | ~ (all_99_4
% 38.68/5.99 | | | | | | | | | = 0) | all_99_0 = all_35_1
% 38.68/5.99 | | | | | | | | |
% 38.68/5.99 | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_99_4, xl,
% 38.68/5.99 | | | | | | | | | simplifying with (6), (146) gives:
% 38.68/5.99 | | | | | | | | | (152) all_99_4 = 0
% 38.68/5.99 | | | | | | | | |
% 38.68/5.99 | | | | | | | | | GROUND_INST: instantiating (15) with all_97_2, all_99_4, xl,
% 38.68/5.99 | | | | | | | | | simplifying with (140), (146) gives:
% 38.68/5.99 | | | | | | | | | (153) all_99_4 = all_97_2
% 38.68/5.99 | | | | | | | | |
% 38.68/5.99 | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_99_2, xn,
% 38.68/5.99 | | | | | | | | | simplifying with (10), (147) gives:
% 38.68/5.99 | | | | | | | | | (154) all_99_2 = 0
% 38.68/5.99 | | | | | | | | |
% 38.68/5.99 | | | | | | | | | GROUND_INST: instantiating (15) with all_95_1, all_99_2, xn,
% 38.68/5.99 | | | | | | | | | simplifying with (135), (147) gives:
% 38.68/5.99 | | | | | | | | | (155) all_99_2 = all_95_1
% 38.68/5.99 | | | | | | | | |
% 38.68/5.99 | | | | | | | | | GROUND_INST: instantiating (15) with all_93_1, all_99_2, xn,
% 38.68/5.99 | | | | | | | | | simplifying with (132), (147) gives:
% 38.68/5.99 | | | | | | | | | (156) all_99_2 = all_93_1
% 38.68/5.99 | | | | | | | | |
% 38.68/5.99 | | | | | | | | | GROUND_INST: instantiating (15) with all_42_1, all_95_2,
% 38.68/5.99 | | | | | | | | | all_35_3, simplifying with (39), (136) gives:
% 38.68/5.99 | | | | | | | | | (157) all_95_2 = all_42_1
% 38.68/5.99 | | | | | | | | |
% 38.68/5.99 | | | | | | | | | GROUND_INST: instantiating (15) with all_93_2, all_95_2,
% 38.68/5.99 | | | | | | | | | all_35_3, simplifying with (133), (136) gives:
% 38.68/5.99 | | | | | | | | | (158) all_95_2 = all_93_2
% 38.68/5.99 | | | | | | | | |
% 38.68/5.99 | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_99_3, all_72_0,
% 38.68/5.99 | | | | | | | | | simplifying with (94), (148) gives:
% 38.68/5.99 | | | | | | | | | (159) all_99_3 = 0
% 38.68/5.99 | | | | | | | | |
% 38.68/5.99 | | | | | | | | | GROUND_INST: instantiating (15) with all_97_1, all_99_3,
% 38.68/5.99 | | | | | | | | | all_72_0, simplifying with (141), (148) gives:
% 38.68/5.99 | | | | | | | | | (160) all_99_3 = all_97_1
% 38.68/5.99 | | | | | | | | |
% 38.68/5.99 | | | | | | | | | GROUND_INST: instantiating (16) with all_35_2, all_95_0,
% 38.68/5.99 | | | | | | | | | all_35_3, xn, simplifying with (24), (137) gives:
% 38.68/5.99 | | | | | | | | | (161) all_95_0 = all_35_2
% 38.68/5.99 | | | | | | | | |
% 38.68/5.99 | | | | | | | | | COMBINE_EQS: (154), (155) imply:
% 38.68/5.99 | | | | | | | | | (162) all_95_1 = 0
% 38.68/5.99 | | | | | | | | |
% 38.68/5.99 | | | | | | | | | COMBINE_EQS: (155), (156) imply:
% 38.68/5.99 | | | | | | | | | (163) all_95_1 = all_93_1
% 38.68/5.99 | | | | | | | | |
% 38.68/5.99 | | | | | | | | | COMBINE_EQS: (159), (160) imply:
% 38.68/5.99 | | | | | | | | | (164) all_97_1 = 0
% 38.68/5.99 | | | | | | | | |
% 38.68/5.99 | | | | | | | | | COMBINE_EQS: (152), (153) imply:
% 38.68/5.99 | | | | | | | | | (165) all_97_2 = 0
% 38.68/5.99 | | | | | | | | |
% 38.68/5.99 | | | | | | | | | COMBINE_EQS: (162), (163) imply:
% 38.68/5.99 | | | | | | | | | (166) all_93_1 = 0
% 38.68/5.99 | | | | | | | | |
% 38.68/5.99 | | | | | | | | | COMBINE_EQS: (157), (158) imply:
% 38.68/5.99 | | | | | | | | | (167) all_93_2 = all_42_1
% 38.68/5.99 | | | | | | | | |
% 38.68/5.99 | | | | | | | | | SIMP: (167) implies:
% 38.68/5.99 | | | | | | | | | (168) all_93_2 = all_42_1
% 38.68/5.99 | | | | | | | | |
% 38.68/5.99 | | | | | | | | | BETA: splitting (126) gives:
% 38.68/5.99 | | | | | | | | |
% 38.68/5.99 | | | | | | | | | Case 1:
% 38.68/5.99 | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | (169) all_72_0 = all_35_3
% 38.68/5.99 | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | REDUCE: (150), (169) imply:
% 38.68/5.99 | | | | | | | | | | (170) sdtasdt0(all_35_3, xn) = all_99_1
% 38.68/5.99 | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | REDUCE: (142), (169) imply:
% 38.68/5.99 | | | | | | | | | | (171) sdtasdt0(all_35_3, xl) = all_97_0
% 38.68/5.99 | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | REDUCE: (95), (169) imply:
% 38.68/5.99 | | | | | | | | | | (172) sdtasdt0(xl, all_35_3) = xm
% 38.68/5.99 | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | REDUCE: (94), (169) imply:
% 38.68/5.99 | | | | | | | | | | (173) aNaturalNumber0(all_35_3) = 0
% 38.68/5.99 | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | BETA: splitting (143) gives:
% 38.68/5.99 | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | Case 1:
% 38.68/5.99 | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | (174) ~ (all_97_1 = 0)
% 38.68/5.99 | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | REDUCE: (164), (174) imply:
% 38.68/5.99 | | | | | | | | | | | (175) $false
% 38.68/5.99 | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | CLOSE: (175) is inconsistent.
% 38.68/5.99 | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | Case 2:
% 38.68/5.99 | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | (176) ~ (all_97_2 = 0) | all_97_0 = xm
% 38.68/5.99 | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | BETA: splitting (176) gives:
% 38.68/5.99 | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | Case 1:
% 38.68/5.99 | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | (177) ~ (all_97_2 = 0)
% 38.68/5.99 | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | REDUCE: (165), (177) imply:
% 38.68/5.99 | | | | | | | | | | | | (178) $false
% 38.68/5.99 | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | CLOSE: (178) is inconsistent.
% 38.68/5.99 | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | Case 2:
% 38.68/5.99 | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | (179) all_97_0 = xm
% 38.68/5.99 | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | REDUCE: (171), (179) imply:
% 38.68/5.99 | | | | | | | | | | | | (180) sdtasdt0(all_35_3, xl) = xm
% 38.68/5.99 | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | BETA: splitting (151) gives:
% 38.68/5.99 | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | Case 1:
% 38.68/5.99 | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | (181) ~ (all_99_2 = 0)
% 38.68/5.99 | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | REDUCE: (154), (181) imply:
% 38.68/5.99 | | | | | | | | | | | | | (182) $false
% 38.68/5.99 | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | CLOSE: (182) is inconsistent.
% 38.68/5.99 | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | Case 2:
% 38.68/5.99 | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | (183) ~ (all_99_3 = 0) | ~ (all_99_4 = 0) | all_99_0 =
% 38.68/5.99 | | | | | | | | | | | | | all_35_1
% 38.68/5.99 | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | BETA: splitting (183) gives:
% 38.68/5.99 | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | Case 1:
% 38.68/5.99 | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | (184) ~ (all_99_3 = 0)
% 38.68/5.99 | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | REDUCE: (159), (184) imply:
% 38.68/5.99 | | | | | | | | | | | | | | (185) $false
% 38.68/5.99 | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | CLOSE: (185) is inconsistent.
% 38.68/5.99 | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | Case 2:
% 38.68/5.99 | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | (186) ~ (all_99_4 = 0) | all_99_0 = all_35_1
% 38.68/5.99 | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 38.68/5.99 | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | Case 1:
% 38.68/5.99 | | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | | (187) ~ (all_99_4 = 0)
% 38.68/5.99 | | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | | REDUCE: (152), (187) imply:
% 38.68/5.99 | | | | | | | | | | | | | | | (188) $false
% 38.68/5.99 | | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | | CLOSE: (188) is inconsistent.
% 38.68/5.99 | | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | Case 2:
% 38.68/5.99 | | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | | (189) all_99_0 = all_35_1
% 38.68/5.99 | | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | | REDUCE: (149), (189) imply:
% 38.68/5.99 | | | | | | | | | | | | | | | (190) sdtasdt0(xl, all_99_1) = all_35_1
% 38.68/5.99 | | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_42_1, 0, all_35_3,
% 38.68/5.99 | | | | | | | | | | | | | | | simplifying with (39), (173) gives:
% 38.68/5.99 | | | | | | | | | | | | | | | (191) all_42_1 = 0
% 38.68/5.99 | | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_48_0, all_99_1, xn,
% 38.68/5.99 | | | | | | | | | | | | | | | all_35_3, simplifying with (55), (170) gives:
% 38.68/5.99 | | | | | | | | | | | | | | | (192) all_99_1 = all_48_0
% 38.68/5.99 | | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | | COMBINE_EQS: (66), (191) imply:
% 38.68/5.99 | | | | | | | | | | | | | | | (193) all_48_1 = 0
% 38.68/5.99 | | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | | REDUCE: (190), (192) imply:
% 38.68/5.99 | | | | | | | | | | | | | | | (194) sdtasdt0(xl, all_48_0) = all_35_1
% 38.68/5.99 | | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | | REDUCE: (145), (192) imply:
% 38.68/5.99 | | | | | | | | | | | | | | | (195) $i(all_48_0)
% 38.68/5.99 | | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | | BETA: splitting (41) gives:
% 38.68/5.99 | | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | | Case 1:
% 38.68/5.99 | | | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | | | (196) ~ (all_42_1 = 0)
% 38.68/5.99 | | | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | | | REDUCE: (191), (196) imply:
% 38.68/5.99 | | | | | | | | | | | | | | | | (197) $false
% 38.68/5.99 | | | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | | | CLOSE: (197) is inconsistent.
% 38.68/5.99 | | | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | | Case 2:
% 38.68/5.99 | | | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | | | (198) ~ (all_42_2 = 0) | all_42_0 = 0
% 38.68/5.99 | | | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 38.68/5.99 | | | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | | | Case 1:
% 38.68/5.99 | | | | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | | | | (199) ~ (all_42_2 = 0)
% 38.68/5.99 | | | | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | | | | REDUCE: (72), (199) imply:
% 38.68/5.99 | | | | | | | | | | | | | | | | | (200) $false
% 38.68/5.99 | | | | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | | | | CLOSE: (200) is inconsistent.
% 38.68/5.99 | | | | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | | | Case 2:
% 38.68/5.99 | | | | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | | | | (201) all_42_0 = 0
% 38.68/5.99 | | | | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | | | | REDUCE: (40), (201) imply:
% 38.68/5.99 | | | | | | | | | | | | | | | | | (202) aNaturalNumber0(all_35_2) = 0
% 38.68/5.99 | | | | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | | | | BETA: splitting (56) gives:
% 38.68/5.99 | | | | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | | | | Case 1:
% 38.68/5.99 | | | | | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | | | | | (203) ~ (all_48_1 = 0)
% 38.68/5.99 | | | | | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | | | | | REDUCE: (193), (203) imply:
% 38.68/5.99 | | | | | | | | | | | | | | | | | | (204) $false
% 38.68/5.99 | | | | | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | | | | | CLOSE: (204) is inconsistent.
% 38.68/5.99 | | | | | | | | | | | | | | | | | |
% 38.68/5.99 | | | | | | | | | | | | | | | | | Case 2:
% 38.68/5.99 | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | (205) ~ (all_48_2 = 0) | all_48_0 = all_35_2
% 38.68/6.00 | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 38.68/6.00 | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | Case 1:
% 38.68/6.00 | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (206) ~ (all_48_2 = 0)
% 38.68/6.00 | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | REDUCE: (73), (206) imply:
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (207) $false
% 38.68/6.00 | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | CLOSE: (207) is inconsistent.
% 38.68/6.00 | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | Case 2:
% 38.68/6.00 | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (208) all_48_0 = all_35_2
% 38.68/6.00 | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | REDUCE: (55), (208) imply:
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (209) sdtasdt0(all_35_3, xn) = all_35_2
% 38.68/6.00 | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | REDUCE: (194), (208) imply:
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (210) sdtasdt0(xl, all_35_2) = all_35_1
% 38.68/6.00 | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | REDUCE: (195), (208) imply:
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (211) $i(all_35_2)
% 38.68/6.00 | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (59) with all_35_3, all_35_2, xm,
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | all_35_1, simplifying with (21), (172), (210),
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (211) gives:
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (212) all_35_2 = all_35_3 | ? [v0: any] : ? [v1: any]
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | : ? [v2: $i] : ? [v3: $i] : (sdtasdt0(all_35_2,
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | xl) = v3 & sdtasdt0(all_35_3, xl) = v2 &
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_2) = v1 &
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = v0 & $i(v3) & $i(v2)
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) &
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | ~ (all_35_1 = xm))))
% 38.68/6.00 | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (59) with all_35_2, all_35_3,
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | all_35_1, xm, simplifying with (21), (172), (210),
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (211) gives:
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (213) all_35_2 = all_35_3 | ? [v0: any] : ? [v1: any]
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | : ? [v2: $i] : ? [v3: $i] : (sdtasdt0(all_35_2,
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | xl) = v2 & sdtasdt0(all_35_3, xl) = v3 &
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_2) = v0 &
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = v1 & $i(v3) & $i(v2)
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) &
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | ~ (all_35_1 = xm))))
% 38.68/6.00 | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xl, all_35_2,
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | all_35_1, simplifying with (11), (210), (211)
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | gives:
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (214) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (sdtasdt0(all_35_2, xl) = v2 &
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_2) = v1 &
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = v0 & $i(v2) & ( ~ (v1 = 0)
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = all_35_1))
% 38.68/6.00 | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulAsso) with all_35_3, xl, xn,
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | xm, all_35_1, simplifying with (11), (13), (21),
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (120), (180) gives:
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (215) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtasdt0(all_35_3, v3) =
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | v4 & sdtasdt0(xl, xn) = v3 &
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = v0 &
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = v2 & aNaturalNumber0(xl) =
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | v1 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 =
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v4 = all_35_1))
% 38.68/6.00 | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (214) with fresh symbols all_162_0,
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | all_162_1, all_162_2 gives:
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (216) sdtasdt0(all_35_2, xl) = all_162_0 &
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_2) = all_162_1 &
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = all_162_2 & $i(all_162_0) &
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | ( ~ (all_162_1 = 0) | ~ (all_162_2 = 0) |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | all_162_0 = all_35_1)
% 38.68/6.00 | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | ALPHA: (216) implies:
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (217) aNaturalNumber0(xl) = all_162_2
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (218) aNaturalNumber0(all_35_2) = all_162_1
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (219) sdtasdt0(all_35_2, xl) = all_162_0
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (220) ~ (all_162_1 = 0) | ~ (all_162_2 = 0) |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | all_162_0 = all_35_1
% 38.68/6.00 | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (215) with fresh symbols all_164_0,
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | all_164_1, all_164_2, all_164_3, all_164_4 gives:
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (221) sdtasdt0(all_35_3, all_164_1) = all_164_0 &
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | sdtasdt0(xl, xn) = all_164_1 &
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = all_164_4 &
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = all_164_2 &
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = all_164_3 & $i(all_164_0) &
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | $i(all_164_1) & ( ~ (all_164_2 = 0) | ~
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (all_164_3 = 0) | ~ (all_164_4 = 0) | all_164_0
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | = all_35_1)
% 38.68/6.00 | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | ALPHA: (221) implies:
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (222) $i(all_164_1)
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (223) aNaturalNumber0(xl) = all_164_3
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (224) aNaturalNumber0(xn) = all_164_2
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (225) aNaturalNumber0(all_35_3) = all_164_4
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (226) sdtasdt0(xl, xn) = all_164_1
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (227) sdtasdt0(all_35_3, all_164_1) = all_164_0
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (228) ~ (all_164_2 = 0) | ~ (all_164_3 = 0) | ~
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (all_164_4 = 0) | all_164_0 = all_35_1
% 38.68/6.00 | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_164_3, xl,
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | simplifying with (6), (223) gives:
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (229) all_164_3 = 0
% 38.68/6.00 | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_162_2, all_164_3, xl,
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | simplifying with (217), (223) gives:
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (230) all_164_3 = all_162_2
% 38.68/6.00 | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_164_2, xn,
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | simplifying with (10), (224) gives:
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (231) all_164_2 = 0
% 38.68/6.00 | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_164_4, all_35_3,
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | simplifying with (173), (225) gives:
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (232) all_164_4 = 0
% 38.68/6.00 | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_162_1, all_35_2,
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | simplifying with (202), (218) gives:
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (233) all_162_1 = 0
% 38.68/6.00 | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (229), (230) imply:
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | (234) all_162_2 = 0
% 38.68/6.00 | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 38.68/6.00 | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | Case 1:
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | (235) ~ (all_164_2 = 0)
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | REDUCE: (231), (235) imply:
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | (236) $false
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | CLOSE: (236) is inconsistent.
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | Case 2:
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | (237) ~ (all_164_3 = 0) | ~ (all_164_4 = 0) |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | all_164_0 = all_35_1
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | (238) ~ (all_164_3 = 0)
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (238) imply:
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | (239) $false
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | CLOSE: (239) is inconsistent.
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | (240) ~ (all_164_4 = 0) | all_164_0 = all_35_1
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | | (241) ~ (all_162_1 = 0)
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (233), (241) imply:
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | | (242) $false
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (242) is inconsistent.
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | |
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | |
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | (243) ~ (all_162_2 = 0) | all_162_0 = all_35_1
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | |
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | |
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | |
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | (244) ~ (all_162_2 = 0)
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | |
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (234), (244) imply:
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | (245) $false
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | |
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (245) is inconsistent.
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | |
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | |
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | (246) all_162_0 = all_35_1
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | |
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (219), (246) imply:
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | (247) sdtasdt0(all_35_2, xl) = all_35_1
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | |
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | |
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | | (248) ~ (all_164_4 = 0)
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (232), (248) imply:
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | | (249) $false
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (249) is inconsistent.
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | | (250) all_164_0 = all_35_1
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (227), (250) imply:
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | | (251) sdtasdt0(all_35_3, all_164_1) = all_35_1
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (33) gives:
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | (252) xm = sz00
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (25), (252) imply:
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | (253) sdtsldt0(sz00, xl) = all_35_3
% 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (180), (252) imply:
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | (254) sdtasdt0(all_35_3, xl) = sz00
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (252) imply:
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | (255) sdtasdt0(xn, sz00) = all_35_1
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (252) imply:
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | (256) sdtasdt0(sz00, xn) = all_35_1
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (252) imply:
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | (257) sdtasdt0(xl, all_35_3) = sz00
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (252) imply:
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | (258) $i(sz00)
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (28) gives:
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (259) xn = sz00
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (209), (259) imply:
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (260) sdtasdt0(all_35_3, sz00) = all_35_2
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (259) imply:
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (261) sdtasdt0(sz00, all_35_3) = all_35_2
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (226), (259) imply:
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (262) sdtasdt0(xl, sz00) = all_164_1
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (256), (259) imply:
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (263) sdtasdt0(sz00, sz00) = all_35_1
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (259) imply:
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (264) aNaturalNumber0(sz00) = 0
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (36) gives:
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (265) xl = sz00
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (265) imply:
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (266) $false
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (266) is inconsistent.
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with sz00, all_35_1, simplifying
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | with (258), (263) gives:
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (267) ? [v0: any] : ? [v1: $i] : (sdtasdt0(sz00, sz00)
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | = v1 & aNaturalNumber0(sz00) = v0 & $i(v1) & ( ~
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | (v1 = sz00 & all_35_1 = sz00)))
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_35_3, all_35_2,
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21), (261) gives:
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (268) ? [v0: any] : ? [v1: $i] : (sdtasdt0(all_35_3,
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | sz00) = v1 & aNaturalNumber0(all_35_3) = v0 &
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v1) & ( ~ (v0 = 0) | (v1 = sz00 & all_35_2 =
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | sz00)))
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xl, sz00, all_164_1,
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11), (258), (262) gives:
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (269) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(sz00, xl) = v2 & aNaturalNumber0(xl) =
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | v0 & aNaturalNumber0(sz00) = v1 & $i(v2) & ( ~
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v2 = all_164_1))
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB_02) with xl, sz00,
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_164_1, simplifying with (11), (258), (262)
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (270) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_164_1) = v2 &
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = v0 & aNaturalNumber0(sz00)
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulAsso) with xl, all_35_3,
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_3, sz00, all_35_2, simplifying with (11),
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21), (257), (261) gives:
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (271) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtasdt0(all_35_3,
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_3) = v3 & sdtasdt0(xl, v3) = v4 &
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = v2 &
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = v1 &
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = v0 & $i(v4) & $i(v3) & ( ~
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 =
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_2))
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (59) with sz00, all_35_3, all_164_1,
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | sz00, simplifying with (21), (257), (258), (262)
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (272) all_35_3 = sz00 | ? [v0: any] : ? [v1: any] : ?
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: $i] : ? [v3: $i] : (sdtasdt0(all_35_3, xl) =
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | v3 & sdtasdt0(sz00, xl) = v2 &
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = v1 &
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(sz00) = v0 & $i(v3) & $i(v2) & (
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_164_1 = sz00))))
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (59) with all_35_3, sz00, sz00,
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_164_1, simplifying with (21), (257), (258),
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (262) gives:
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (273) all_35_3 = sz00 | ? [v0: any] : ? [v1: any] : ?
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: $i] : ? [v3: $i] : (sdtasdt0(all_35_3, xl) =
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | v2 & sdtasdt0(sz00, xl) = v3 &
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = v0 &
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(sz00) = v1 & $i(v3) & $i(v2) & (
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_164_1 = sz00))))
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_35_3, xl, simplifying
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | with (11), (21), (254) gives:
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (274) all_35_3 = sz00 | xl = sz00 | ? [v0: any] : ?
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | [v1: any] : (aNaturalNumber0(all_35_3) = v0 &
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = v1 & ( ~ (v1 = 0) | ~ (v0
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0)))
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with all_35_3, all_164_1,
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_1, simplifying with (21), (222), (251)
% 38.95/6.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (275) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(all_164_1, all_35_3) = v2 &
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_164_1) = v1 &
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = v0 & $i(v2) & ( ~
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v2 = all_35_1))
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB_02) with all_35_3,
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_164_1, all_35_1, simplifying with (21), (222),
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (251) gives:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (276) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_164_1) = v1 &
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_1) = v2 &
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = v0 & ( ~ (v1 = 0) |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = 0))
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulAsso) with all_35_3, sz00, xl,
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_2, all_35_1, simplifying with (11), (21),
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (247), (258), (260) gives:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (277) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtasdt0(all_35_3, v3) =
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | v4 & sdtasdt0(sz00, xl) = v3 &
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = v0 &
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = v2 & aNaturalNumber0(sz00)
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | = v1 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 =
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v4 = all_35_1))
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (276) with fresh symbols all_213_0,
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_213_1, all_213_2 gives:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (278) aNaturalNumber0(all_164_1) = all_213_1 &
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_1) = all_213_0 &
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = all_213_2 & ( ~
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_213_1 = 0) | ~ (all_213_2 = 0) | all_213_0
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0)
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (278) implies:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (279) aNaturalNumber0(all_35_3) = all_213_2
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (270) with fresh symbols all_215_0,
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_215_1, all_215_2 gives:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (280) aNaturalNumber0(all_164_1) = all_215_0 &
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = all_215_2 &
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(sz00) = all_215_1 & ( ~ (all_215_1
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | ~ (all_215_2 = 0) | all_215_0 = 0)
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (280) implies:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (281) aNaturalNumber0(xl) = all_215_2
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (268) with fresh symbols all_217_0,
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_217_1 gives:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (282) sdtasdt0(all_35_3, sz00) = all_217_0 &
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = all_217_1 &
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_217_0) & ( ~ (all_217_1 = 0) | (all_217_0 =
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | sz00 & all_35_2 = sz00))
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (282) implies:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (283) aNaturalNumber0(all_35_3) = all_217_1
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (284) sdtasdt0(all_35_3, sz00) = all_217_0
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (285) ~ (all_217_1 = 0) | (all_217_0 = sz00 & all_35_2
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | = sz00)
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (267) with fresh symbols all_219_0,
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_219_1 gives:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (286) sdtasdt0(sz00, sz00) = all_219_0 &
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(sz00) = all_219_1 & $i(all_219_0)
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_219_1 = 0) | (all_219_0 = sz00 &
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_1 = sz00))
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (286) implies:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (287) aNaturalNumber0(sz00) = all_219_1
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (288) sdtasdt0(sz00, sz00) = all_219_0
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (289) ~ (all_219_1 = 0) | (all_219_0 = sz00 & all_35_1
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | = sz00)
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (275) with fresh symbols all_221_0,
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_221_1, all_221_2 gives:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (290) sdtasdt0(all_164_1, all_35_3) = all_221_0 &
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_164_1) = all_221_1 &
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = all_221_2 &
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_221_0) & ( ~ (all_221_1 = 0) | ~
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_221_2 = 0) | all_221_0 = all_35_1)
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (290) implies:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (291) aNaturalNumber0(all_35_3) = all_221_2
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (269) with fresh symbols all_223_0,
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_223_1, all_223_2 gives:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (292) sdtasdt0(sz00, xl) = all_223_0 &
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = all_223_2 &
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(sz00) = all_223_1 & $i(all_223_0)
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_223_1 = 0) | ~ (all_223_2 = 0) |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_223_0 = all_164_1)
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (292) implies:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (293) aNaturalNumber0(sz00) = all_223_1
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (294) aNaturalNumber0(xl) = all_223_2
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (277) with fresh symbols all_225_0,
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_225_1, all_225_2, all_225_3, all_225_4 gives:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (295) sdtasdt0(all_35_3, all_225_1) = all_225_0 &
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(sz00, xl) = all_225_1 &
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = all_225_4 &
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = all_225_2 &
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(sz00) = all_225_3 & $i(all_225_0)
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_225_1) & ( ~ (all_225_2 = 0) | ~
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_225_3 = 0) | ~ (all_225_4 = 0) | all_225_0
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_35_1)
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (295) implies:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (296) aNaturalNumber0(sz00) = all_225_3
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (297) aNaturalNumber0(xl) = all_225_2
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (298) aNaturalNumber0(all_35_3) = all_225_4
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (271) with fresh symbols all_227_0,
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_227_1, all_227_2, all_227_3, all_227_4 gives:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (299) sdtasdt0(all_35_3, all_35_3) = all_227_1 &
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(xl, all_227_1) = all_227_0 &
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = all_227_2 &
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = all_227_3 &
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = all_227_4 & $i(all_227_0) &
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_227_1) & ( ~ (all_227_2 = 0) | ~
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_227_3 = 0) | ~ (all_227_4 = 0) | all_227_0
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_35_2)
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (299) implies:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (300) aNaturalNumber0(xl) = all_227_4
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (301) aNaturalNumber0(all_35_3) = all_227_3
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (302) aNaturalNumber0(all_35_3) = all_227_2
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_225_3, sz00,
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (264), (296) gives:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (303) all_225_3 = 0
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_223_1, all_225_3,
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | sz00, simplifying with (293), (296) gives:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (304) all_225_3 = all_223_1
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_219_1, all_225_3,
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | sz00, simplifying with (287), (296) gives:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (305) all_225_3 = all_219_1
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_225_2, xl,
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (6), (297) gives:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (306) all_225_2 = 0
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_223_2, all_225_2, xl,
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (294), (297) gives:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (307) all_225_2 = all_223_2
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_223_2, all_227_4, xl,
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (294), (300) gives:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (308) all_227_4 = all_223_2
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_215_2, all_227_4, xl,
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (281), (300) gives:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (309) all_227_4 = all_215_2
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_221_2, all_225_4,
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_3, simplifying with (291), (298) gives:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (310) all_225_4 = all_221_2
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_227_3, all_35_3,
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (173), (301) gives:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (311) all_227_3 = 0
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_225_4, all_227_3,
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_3, simplifying with (298), (301) gives:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (312) all_227_3 = all_225_4
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_217_1, all_227_3,
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_3, simplifying with (283), (301) gives:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (313) all_227_3 = all_217_1
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_225_4, all_227_2,
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_3, simplifying with (298), (302) gives:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (314) all_227_2 = all_225_4
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_213_2, all_227_2,
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_3, simplifying with (279), (302) gives:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (315) all_227_2 = all_213_2
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_35_1, all_219_0, sz00,
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | sz00, simplifying with (263), (288) gives:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (316) all_219_0 = all_35_1
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_35_2, all_217_0, sz00,
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_3, simplifying with (260), (284) gives:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (317) all_217_0 = all_35_2
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (315) imply:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (318) all_225_4 = all_213_2
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (318) implies:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (319) all_225_4 = all_213_2
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (311), (313) imply:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (320) all_217_1 = 0
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (312), (313) imply:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (321) all_225_4 = all_217_1
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (321) implies:
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (322) all_225_4 = all_217_1
% 38.95/6.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (308), (309) imply:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (323) all_223_2 = all_215_2
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (323) implies:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (324) all_223_2 = all_215_2
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (306), (307) imply:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (325) all_223_2 = 0
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (325) implies:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (326) all_223_2 = 0
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (303), (304) imply:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (327) all_223_1 = 0
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (304), (305) imply:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (328) all_223_1 = all_219_1
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (310), (322) imply:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (329) all_221_2 = all_217_1
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (310), (319) imply:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (330) all_221_2 = all_213_2
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (327), (328) imply:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (331) all_219_1 = 0
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (331) implies:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (332) all_219_1 = 0
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (324), (326) imply:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (333) all_215_2 = 0
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (329), (330) imply:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (334) all_217_1 = all_213_2
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (334) implies:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (335) all_217_1 = all_213_2
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (320), (335) imply:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (336) all_213_2 = 0
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (337) all_35_3 = sz00
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (253), (337) imply:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (338) sdtsldt0(sz00, xl) = sz00
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (339) ~ (all_217_1 = 0)
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (320), (339) imply:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (340) $false
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (340) is inconsistent.
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (341) all_217_0 = sz00 & all_35_2 = sz00
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (341) implies:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (342) all_217_0 = sz00
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (317), (342) imply:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (343) all_35_2 = sz00
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (343) implies:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (344) all_35_2 = sz00
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (344) imply:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (345) ~ (all_35_0 = sz00)
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (346) ~ (all_219_1 = 0)
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (332), (346) imply:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (347) $false
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (347) is inconsistent.
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (348) all_219_0 = sz00 & all_35_1 = sz00
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (348) implies:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (349) all_219_0 = sz00
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (349) imply:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (350) all_35_1 = sz00
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (26), (350) imply:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (351) sdtsldt0(sz00, xl) = all_35_0
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with sz00, all_35_0, xl, sz00,
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (338), (351) gives:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (352) all_35_0 = sz00
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (345), (352) imply:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (353) $false
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (353) is inconsistent.
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (354) ~ (all_35_3 = sz00)
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (355) xl = sz00 | ? [v0: any] : ? [v1: any] :
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_35_3) = v0 &
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = v1 & ( ~ (v1 = 0) | ~ (v0
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0)))
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (355) gives:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (356) xl = sz00
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (356) imply:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (357) $false
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (357) is inconsistent.
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358) ? [v0: any] : ? [v1: any] :
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_35_3) = v0 &
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = v1 & ( ~ (v1 = 0) | ~ (v0
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0)))
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (358) with fresh symbols all_253_0,
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_253_1 gives:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (359) aNaturalNumber0(all_35_3) = all_253_1 &
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = all_253_0 & ( ~ (all_253_0 =
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_253_1 = 0))
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (359) implies:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (360) aNaturalNumber0(xl) = all_253_0
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (361) aNaturalNumber0(all_35_3) = all_253_1
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (362) ~ (all_253_0 = 0) | ~ (all_253_1 = 0)
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (363) all_35_3 = sz00
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (354), (363) imply:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (364) $false
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (364) is inconsistent.
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (365) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ?
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : (sdtasdt0(all_35_3, xl) = v3 &
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(sz00, xl) = v2 &
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = v1 &
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(sz00) = v0 & $i(v3) & $i(v2) & (
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_164_1 = sz00))))
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (125) gives:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (366) all_72_0 = sz00
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (169), (366) imply:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (367) all_35_3 = sz00
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (354), (367) imply:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (368) $false
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (368) is inconsistent.
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (369) ~ (all_72_0 = sz00)
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (365) with fresh symbols all_263_0,
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_263_1, all_263_2, all_263_3 gives:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (370) sdtasdt0(all_35_3, xl) = all_263_0 &
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(sz00, xl) = all_263_1 &
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = all_263_2 &
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(sz00) = all_263_3 & $i(all_263_0)
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_263_1) & ( ~ (all_263_2 = 0) | ~
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_263_3 = 0) | ( ~ (all_263_0 = all_263_1) &
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_164_1 = sz00)))
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (370) implies:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (371) aNaturalNumber0(all_35_3) = all_263_2
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (372) ~ (all_217_1 = 0)
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (320), (372) imply:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373) $false
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (373) is inconsistent.
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374) all_217_0 = sz00 & all_35_2 = sz00
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (374) implies:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (375) all_217_0 = sz00
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (317), (375) imply:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376) all_35_2 = sz00
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (376) implies:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (377) all_35_2 = sz00
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (378) all_35_2 = all_35_3
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (377), (378) imply:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (379) all_35_3 = sz00
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (354), (379) imply:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (380) $false
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (380) is inconsistent.
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (381) ~ (all_35_2 = all_35_3)
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (382) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ?
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : (sdtasdt0(all_35_2, xl) = v3 &
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(all_35_3, xl) = v2 &
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_2) = v1 &
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = v0 & $i(v3) & $i(v2)
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) &
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_35_1 = xm))))
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (382) with fresh symbols all_273_0,
% 38.95/6.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_273_1, all_273_2, all_273_3 gives:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (383) sdtasdt0(all_35_2, xl) = all_273_0 &
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(all_35_3, xl) = all_273_1 &
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_2) = all_273_2 &
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = all_273_3 &
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_273_0) & $i(all_273_1) & ( ~ (all_273_2 =
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_273_3 = 0) | ( ~ (all_273_0 =
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_273_1) & ~ (all_35_1 = xm)))
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (383) implies:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (384) aNaturalNumber0(all_35_3) = all_273_3
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (377), (381) imply:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (385) ~ (all_35_3 = sz00)
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386) all_35_2 = all_35_3
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (377), (386) imply:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387) all_35_3 = sz00
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (354), (387) imply:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (388) $false
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (388) is inconsistent.
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (389) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ?
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : (sdtasdt0(all_35_2, xl) = v2 &
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(all_35_3, xl) = v3 &
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_2) = v0 &
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = v1 & $i(v3) & $i(v2)
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) &
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_35_1 = xm))))
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (389) with fresh symbols all_279_0,
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_279_1, all_279_2, all_279_3 gives:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (390) sdtasdt0(all_35_2, xl) = all_279_1 &
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(all_35_3, xl) = all_279_0 &
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_2) = all_279_3 &
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = all_279_2 &
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_279_0) & $i(all_279_1) & ( ~ (all_279_2 =
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_279_3 = 0) | ( ~ (all_279_0 =
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_279_1) & ~ (all_35_1 = xm)))
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (390) implies:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (391) aNaturalNumber0(all_35_3) = all_279_2
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (392) all_35_3 = sz00
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (354), (392) imply:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (393) $false
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (393) is inconsistent.
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (394) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ?
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : (sdtasdt0(all_35_3, xl) = v2 &
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(sz00, xl) = v3 &
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = v0 &
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(sz00) = v1 & $i(v3) & $i(v2) & (
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_164_1 = sz00))))
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (394) with fresh symbols all_289_0,
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_289_1, all_289_2, all_289_3 gives:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (395) sdtasdt0(all_35_3, xl) = all_289_1 &
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(sz00, xl) = all_289_0 &
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = all_289_3 &
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(sz00) = all_289_2 & $i(all_289_0)
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_289_1) & ( ~ (all_289_2 = 0) | ~
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_289_3 = 0) | ( ~ (all_289_0 = all_289_1) &
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_164_1 = sz00)))
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (395) implies:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (396) aNaturalNumber0(all_35_3) = all_289_3
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_253_0, xl,
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (6), (360) gives:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (397) all_253_0 = 0
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_273_3, all_35_3,
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (173), (384) gives:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (398) all_273_3 = 0
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_253_1, all_273_3,
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_3, simplifying with (361), (384) gives:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (399) all_273_3 = all_253_1
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_279_2, all_289_3,
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_3, simplifying with (391), (396) gives:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (400) all_289_3 = all_279_2
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_273_3, all_289_3,
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_3, simplifying with (384), (396) gives:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (401) all_289_3 = all_273_3
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_263_2, all_289_3,
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_3, simplifying with (371), (396) gives:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (402) all_289_3 = all_263_2
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (401) imply:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (403) all_279_2 = all_273_3
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (402) imply:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (404) all_279_2 = all_263_2
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (404) imply:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (405) all_273_3 = all_263_2
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (405) implies:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (406) all_273_3 = all_263_2
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (398), (406) imply:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (407) all_263_2 = 0
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (399), (406) imply:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (408) all_263_2 = all_253_1
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (408) imply:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (409) all_253_1 = 0
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (409) implies:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (410) all_253_1 = 0
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (362) gives:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (411) ~ (all_253_0 = 0)
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (397), (411) imply:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (412) $false
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (412) is inconsistent.
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (413) ~ (all_253_1 = 0)
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (410), (413) imply:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (414) $false
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (414) is inconsistent.
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (415) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | $i] : (v1 = v0 | ~ (sdtasdt0(xn, v1) = v3) | ~
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(xn, v0) = v2) | ~ $i(v1) | ~ $i(v0)
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | ? [v4: any] : ? [v5: any] : ? [v6: $i] : ?
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | [v7: $i] : (sdtasdt0(v1, xn) = v7 & sdtasdt0(v0,
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | xn) = v6 & aNaturalNumber0(v1) = v5 &
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = v4 & $i(v7) & $i(v6) & (
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v5 = 0) | ~ (v4 = 0) | ( ~ (v7 = v6) &
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v3 = v2)))))
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (36) gives:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (416) xl = sz00
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (416) imply:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (417) $false
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (417) is inconsistent.
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with xn, all_35_1, simplifying
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | with (13), (256) gives:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (418) ? [v0: any] : ? [v1: $i] : (sdtasdt0(xn, sz00) =
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | v1 & aNaturalNumber0(xn) = v0 & $i(v1) & ( ~ (v0
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | (v1 = sz00 & all_35_1 = sz00)))
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xl, xn, all_164_1,
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11), (13), (226) gives:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (419) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(xn, xl) = v2 & aNaturalNumber0(xn) = v1
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | & aNaturalNumber0(xl) = v0 & $i(v2) & ( ~ (v1 =
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v2 = all_164_1))
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB_02) with xl, xn, all_164_1,
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11), (13), (226) gives:
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (420) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_164_1) = v2 &
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = v1 & aNaturalNumber0(xl) =
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with xl, all_35_3, simplifying
% 38.95/6.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | with (11), (21), (257) gives:
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (421) all_35_3 = sz00 | xl = sz00 | ? [v0: any] : ?
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | [v1: any] : (aNaturalNumber0(all_35_3) = v1 &
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = v0 & ( ~ (v1 = 0) | ~ (v0
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0)))
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (415) with all_35_3, sz00, all_35_2,
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_1, simplifying with (21), (24), (255),
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (258) gives:
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (422) all_35_3 = sz00 | ? [v0: any] : ? [v1: any] : ?
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: $i] : ? [v3: $i] : (sdtasdt0(all_35_3, xn) =
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | v2 & sdtasdt0(sz00, xn) = v3 &
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = v0 &
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(sz00) = v1 & $i(v3) & $i(v2) & (
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_35_1 = all_35_2))))
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (415) with sz00, all_35_3, all_35_1,
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_2, simplifying with (21), (24), (255),
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (258) gives:
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (423) all_35_3 = sz00 | ? [v0: any] : ? [v1: any] : ?
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: $i] : ? [v3: $i] : (sdtasdt0(all_35_3, xn) =
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | v3 & sdtasdt0(sz00, xn) = v2 &
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = v1 &
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(sz00) = v0 & $i(v3) & $i(v2) & (
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_35_1 = all_35_2))))
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_35_3, xl, simplifying
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | with (11), (21), (254) gives:
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (424) all_35_3 = sz00 | xl = sz00 | ? [v0: any] : ?
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | [v1: any] : (aNaturalNumber0(all_35_3) = v0 &
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = v1 & ( ~ (v1 = 0) | ~ (v0
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0)))
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with all_35_3, all_164_1,
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_1, simplifying with (21), (222), (251)
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (425) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(all_164_1, all_35_3) = v2 &
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_164_1) = v1 &
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = v0 & $i(v2) & ( ~
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v2 = all_35_1))
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB_02) with all_35_3,
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_164_1, all_35_1, simplifying with (21), (222),
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (251) gives:
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (426) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_164_1) = v1 &
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_1) = v2 &
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = v0 & ( ~ (v1 = 0) |
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = 0))
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulAsso) with all_35_3, xn, xl,
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_2, all_35_1, simplifying with (11), (13),
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21), (209), (247) gives:
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (427) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtasdt0(all_35_3, v3) =
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | v4 & sdtasdt0(xn, xl) = v3 &
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = v0 &
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = v1 & aNaturalNumber0(xl) =
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | v2 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 =
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v4 = all_35_1))
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (426) with fresh symbols all_214_0,
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_214_1, all_214_2 gives:
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (428) aNaturalNumber0(all_164_1) = all_214_1 &
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_1) = all_214_0 &
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = all_214_2 & ( ~
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_214_1 = 0) | ~ (all_214_2 = 0) | all_214_0
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0)
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 38.95/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (428) implies:
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (429) aNaturalNumber0(all_35_3) = all_214_2
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (420) with fresh symbols all_216_0,
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_216_1, all_216_2 gives:
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (430) aNaturalNumber0(all_164_1) = all_216_0 &
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = all_216_1 &
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = all_216_2 & ( ~ (all_216_1 =
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_216_2 = 0) | all_216_0 = 0)
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (430) implies:
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (431) aNaturalNumber0(xl) = all_216_2
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (432) aNaturalNumber0(xn) = all_216_1
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (418) with fresh symbols all_218_0,
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_218_1 gives:
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (433) sdtasdt0(xn, sz00) = all_218_0 &
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = all_218_1 & $i(all_218_0) &
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_218_1 = 0) | (all_218_0 = sz00 & all_35_1
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | = sz00))
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (433) implies:
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (434) aNaturalNumber0(xn) = all_218_1
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (435) sdtasdt0(xn, sz00) = all_218_0
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (436) ~ (all_218_1 = 0) | (all_218_0 = sz00 & all_35_1
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | = sz00)
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (419) with fresh symbols all_220_0,
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_220_1, all_220_2 gives:
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (437) sdtasdt0(xn, xl) = all_220_0 & aNaturalNumber0(xn)
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_220_1 & aNaturalNumber0(xl) = all_220_2 &
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_220_0) & ( ~ (all_220_1 = 0) | ~
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_220_2 = 0) | all_220_0 = all_164_1)
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (437) implies:
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (438) aNaturalNumber0(xl) = all_220_2
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (439) aNaturalNumber0(xn) = all_220_1
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (425) with fresh symbols all_222_0,
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_222_1, all_222_2 gives:
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (440) sdtasdt0(all_164_1, all_35_3) = all_222_0 &
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_164_1) = all_222_1 &
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = all_222_2 &
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_222_0) & ( ~ (all_222_1 = 0) | ~
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_222_2 = 0) | all_222_0 = all_35_1)
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (440) implies:
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (441) aNaturalNumber0(all_35_3) = all_222_2
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (427) with fresh symbols all_224_0,
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_224_1, all_224_2, all_224_3, all_224_4 gives:
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (442) sdtasdt0(all_35_3, all_224_1) = all_224_0 &
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(xn, xl) = all_224_1 &
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = all_224_4 &
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = all_224_3 &
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = all_224_2 & $i(all_224_0) &
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_224_1) & ( ~ (all_224_2 = 0) | ~
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_224_3 = 0) | ~ (all_224_4 = 0) | all_224_0
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_35_1)
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (442) implies:
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (443) aNaturalNumber0(xl) = all_224_2
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (444) aNaturalNumber0(xn) = all_224_3
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (445) aNaturalNumber0(all_35_3) = all_224_4
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_216_2, all_220_2, xl,
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (431), (438) gives:
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (446) all_220_2 = all_216_2
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_224_2, xl,
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (6), (443) gives:
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (447) all_224_2 = 0
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_220_2, all_224_2, xl,
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (438), (443) gives:
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (448) all_224_2 = all_220_2
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_216_1, all_218_1, xn,
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (432), (434) gives:
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (449) all_218_1 = all_216_1
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_218_1, all_220_1, xn,
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (434), (439) gives:
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (450) all_220_1 = all_218_1
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_224_3, xn,
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (444) gives:
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (451) all_224_3 = 0
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_220_1, all_224_3, xn,
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (439), (444) gives:
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (452) all_224_3 = all_220_1
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_222_2, all_35_3,
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (173), (441) gives:
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (453) all_222_2 = 0
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_222_2, all_224_4,
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_3, simplifying with (441), (445) gives:
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (454) all_224_4 = all_222_2
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_214_2, all_224_4,
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_3, simplifying with (429), (445) gives:
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (455) all_224_4 = all_214_2
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_35_1, all_218_0, sz00,
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | xn, simplifying with (255), (435) gives:
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (456) all_218_0 = all_35_1
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (448) imply:
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (457) all_220_2 = 0
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (457) implies:
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (458) all_220_2 = 0
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (451), (452) imply:
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (459) all_220_1 = 0
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (459) implies:
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (460) all_220_1 = 0
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (455) imply:
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (461) all_222_2 = all_214_2
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (461) implies:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (462) all_222_2 = all_214_2
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (462) imply:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (463) all_214_2 = 0
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (460) imply:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (464) all_218_1 = 0
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (464) implies:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (465) all_218_1 = 0
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (458) imply:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (466) all_216_2 = 0
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (466) implies:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (467) all_216_2 = 0
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (449), (465) imply:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (468) all_216_1 = 0
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (436) gives:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (469) ~ (all_218_1 = 0)
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (465), (469) imply:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (470) $false
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (470) is inconsistent.
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (471) all_218_0 = sz00 & all_35_1 = sz00
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (471) implies:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (472) all_218_0 = sz00
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (472) imply:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (473) all_35_1 = sz00
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (26), (473) imply:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (474) sdtsldt0(sz00, xl) = all_35_0
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (255), (473) imply:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (475) sdtasdt0(xn, sz00) = sz00
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (476) all_35_2 = all_35_3
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (476) imply:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (477) ~ (all_35_0 = all_35_3)
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_35_3, all_35_0, xl,
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sz00, simplifying with (253), (474) gives:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (478) all_35_0 = all_35_3
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (477), (478) imply:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (479) $false
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (479) is inconsistent.
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (480) ~ (all_35_2 = all_35_3)
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (481) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ?
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : (sdtasdt0(all_35_2, xl) = v3 &
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(all_35_3, xl) = v2 &
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_2) = v1 &
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = v0 & $i(v3) & $i(v2)
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) &
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_35_1 = xm))))
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (481) with fresh symbols all_246_0,
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_246_1, all_246_2, all_246_3 gives:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (482) sdtasdt0(all_35_2, xl) = all_246_0 &
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(all_35_3, xl) = all_246_1 &
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_2) = all_246_2 &
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = all_246_3 &
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_246_0) & $i(all_246_1) & ( ~ (all_246_2 =
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_246_3 = 0) | ( ~ (all_246_0 =
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_246_1) & ~ (all_35_1 = xm)))
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (482) implies:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (483) aNaturalNumber0(all_35_3) = all_246_3
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (484) all_35_2 = all_35_3
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (480), (484) imply:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (485) $false
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (485) is inconsistent.
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (486) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ?
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : (sdtasdt0(all_35_2, xl) = v2 &
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(all_35_3, xl) = v3 &
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_2) = v0 &
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = v1 & $i(v3) & $i(v2)
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) &
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_35_1 = xm))))
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (486) with fresh symbols all_255_0,
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_255_1, all_255_2, all_255_3 gives:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (487) sdtasdt0(all_35_2, xl) = all_255_1 &
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(all_35_3, xl) = all_255_0 &
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_2) = all_255_3 &
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = all_255_2 &
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_255_0) & $i(all_255_1) & ( ~ (all_255_2 =
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_255_3 = 0) | ( ~ (all_255_0 =
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_255_1) & ~ (all_35_1 = xm)))
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (487) implies:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (488) aNaturalNumber0(all_35_3) = all_255_2
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (424) gives:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (489) all_35_3 = sz00
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (480), (489) imply:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (490) ~ (all_35_2 = sz00)
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (489) imply:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (491) sdtasdt0(xn, sz00) = all_35_2
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with sz00, all_35_2, sz00, xn,
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (475), (491) gives:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (492) all_35_2 = sz00
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (490), (492) imply:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (493) $false
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (493) is inconsistent.
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (494) ~ (all_35_3 = sz00)
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (421) gives:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (495) all_35_3 = sz00
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (495) imply:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (496) $false
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (496) is inconsistent.
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (497) xl = sz00 | ? [v0: any] : ? [v1: any] :
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_35_3) = v1 &
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = v0 & ( ~ (v1 = 0) | ~ (v0
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0)))
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (423) gives:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (498) all_35_3 = sz00
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (498) imply:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (499) $false
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (499) is inconsistent.
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (500) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ?
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : (sdtasdt0(all_35_3, xn) = v3 &
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(sz00, xn) = v2 &
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = v1 &
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(sz00) = v0 & $i(v3) & $i(v2) & (
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_35_1 = all_35_2))))
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (500) with fresh symbols all_273_0,
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_273_1, all_273_2, all_273_3 gives:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (501) sdtasdt0(all_35_3, xn) = all_273_0 &
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(sz00, xn) = all_273_1 &
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = all_273_2 &
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(sz00) = all_273_3 & $i(all_273_0)
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_273_1) & ( ~ (all_273_2 = 0) | ~
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_273_3 = 0) | ( ~ (all_273_0 = all_273_1) &
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_35_1 = all_35_2)))
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (501) implies:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (502) aNaturalNumber0(all_35_3) = all_273_2
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (497) gives:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (503) xl = sz00
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (503) imply:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (504) $false
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (504) is inconsistent.
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (505) ? [v0: any] : ? [v1: any] :
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_35_3) = v1 &
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = v0 & ( ~ (v1 = 0) | ~ (v0
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0)))
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (505) with fresh symbols all_279_0,
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_279_1 gives:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (506) aNaturalNumber0(all_35_3) = all_279_0 &
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = all_279_1 & ( ~ (all_279_0 =
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_279_1 = 0))
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (506) implies:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (507) aNaturalNumber0(xl) = all_279_1
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (508) aNaturalNumber0(all_35_3) = all_279_0
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (509) ~ (all_279_0 = 0) | ~ (all_279_1 = 0)
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (422) gives:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (510) all_35_3 = sz00
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (510) imply:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (511) $false
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (511) is inconsistent.
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.14/6.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (512) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ?
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : (sdtasdt0(all_35_3, xn) = v2 &
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(sz00, xn) = v3 &
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = v0 &
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(sz00) = v1 & $i(v3) & $i(v2) & (
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_35_1 = all_35_2))))
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (512) with fresh symbols all_285_0,
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_285_1, all_285_2, all_285_3 gives:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (513) sdtasdt0(all_35_3, xn) = all_285_1 &
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(sz00, xn) = all_285_0 &
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = all_285_3 &
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(sz00) = all_285_2 & $i(all_285_0)
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_285_1) & ( ~ (all_285_2 = 0) | ~
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_285_3 = 0) | ( ~ (all_285_0 = all_285_1) &
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_35_1 = all_35_2)))
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (513) implies:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (514) aNaturalNumber0(all_35_3) = all_285_3
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_279_1, xl,
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (6), (507) gives:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (515) all_279_1 = 0
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_273_2, all_35_3,
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (173), (502) gives:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (516) all_273_2 = 0
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_246_3, all_273_2,
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_3, simplifying with (483), (502) gives:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (517) all_273_2 = all_246_3
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_279_0, all_285_3,
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_3, simplifying with (508), (514) gives:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (518) all_285_3 = all_279_0
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_273_2, all_285_3,
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_3, simplifying with (502), (514) gives:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (519) all_285_3 = all_273_2
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_255_2, all_285_3,
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_3, simplifying with (488), (514) gives:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (520) all_285_3 = all_255_2
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (520) imply:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (521) all_279_0 = all_255_2
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (519) imply:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (522) all_279_0 = all_273_2
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (521), (522) imply:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (523) all_273_2 = all_255_2
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (523) implies:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (524) all_273_2 = all_255_2
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (524) imply:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (525) all_255_2 = 0
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (517), (524) imply:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (526) all_255_2 = all_246_3
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (526) imply:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (527) all_246_3 = 0
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (521), (525) imply:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (528) all_279_0 = 0
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (509) gives:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (529) ~ (all_279_0 = 0)
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (528), (529) imply:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (530) $false
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (530) is inconsistent.
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (531) ~ (all_279_1 = 0)
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (515), (531) imply:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (532) $false
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (532) is inconsistent.
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | (533) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | (sdtlseqdt0(xl, xm) = v2 & aNaturalNumber0(xm) =
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | v1 & aNaturalNumber0(xl) = v0 & ( ~ (v1 = 0) |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = 0))
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (533) with fresh symbols all_196_0,
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | all_196_1, all_196_2 gives:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | (534) sdtlseqdt0(xl, xm) = all_196_0 &
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_196_1 &
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = all_196_2 & ( ~ (all_196_1 =
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_196_2 = 0) | all_196_0 = 0)
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (534) implies:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | (535) aNaturalNumber0(xl) = all_196_2
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | (536) aNaturalNumber0(xm) = all_196_1
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | (537) sdtlseqdt0(xl, xm) = all_196_0
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | (538) ~ (all_196_1 = 0) | ~ (all_196_2 = 0) |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | all_196_0 = 0
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_196_2, xl,
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (6), (535) gives:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | (539) all_196_2 = 0
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_196_1, xm,
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (7), (536) gives:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | (540) all_196_1 = 0
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (538) gives:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (541) ~ (all_196_1 = 0)
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (540), (541) imply:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (542) $false
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (542) is inconsistent.
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (543) ~ (all_196_2 = 0) | all_196_0 = 0
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (543) gives:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (544) ~ (all_196_2 = 0)
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (539), (544) imply:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (545) $false
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (545) is inconsistent.
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (546) all_196_0 = 0
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (537), (546) imply:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (547) sdtlseqdt0(xl, xm) = 0
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (36) gives:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (548) xl = sz00
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (548) imply:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (549) $false
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (549) is inconsistent.
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (550) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (doDivides0(xl, all_35_1) = v2 &
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_1) = v1 &
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = v0 & ( ~ (v2 = 0) | ~ (v1
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | ~ (v0 = 0))) | ( ! [v0: any] : (v0 =
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_0 | ~ (sdtasdt0(xl, v0) = all_35_1) |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = v1)) & ! [v0: $i] : (
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (sdtasdt0(xl, all_35_0) = v0) | ~
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_35_0) | (v0 = all_35_1 &
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_0) = 0)))
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xl, xn, all_164_1,
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11), (13), (226) gives:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (551) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(xn, xl) = v2 & aNaturalNumber0(xn) = v1
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & aNaturalNumber0(xl) = v0 & $i(v2) & ( ~ (v1 =
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v2 = all_164_1))
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB_02) with xl, xn, all_164_1,
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11), (13), (226) gives:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (552) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_164_1) = v2 &
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = v1 & aNaturalNumber0(xl) =
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with all_35_3, all_164_1,
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_1, simplifying with (21), (222), (251)
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (553) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(all_164_1, all_35_3) = v2 &
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_164_1) = v1 &
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = v0 & $i(v2) & ( ~
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v2 = all_35_1))
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB_02) with all_35_3,
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_164_1, all_35_1, simplifying with (21), (222),
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251) gives:
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (554) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_164_1) = v1 &
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_1) = v2 &
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = v0 & ( ~ (v1 = 0) |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = 0))
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulAsso) with all_35_3, xn, xl,
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_2, all_35_1, simplifying with (11), (13),
% 39.14/6.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21), (209), (247) gives:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (555) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtasdt0(all_35_3, v3) =
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | v4 & sdtasdt0(xn, xl) = v3 &
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = v0 &
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = v1 & aNaturalNumber0(xl) =
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | v2 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 =
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v4 = all_35_1))
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mDefLE) with xl, xm, 0, simplifying
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | with (11), (12), (547) gives:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (556) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xm)
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v1 & aNaturalNumber0(xl) = v0 & ( ~ (v1 = 0) |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0))) | ? [v0: $i] : (sdtpldt0(xl,
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | v0) = xm & aNaturalNumber0(v0) = 0 & $i(v0))
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (554) with fresh symbols all_233_0,
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_233_1, all_233_2 gives:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (557) aNaturalNumber0(all_164_1) = all_233_1 &
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_1) = all_233_0 &
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = all_233_2 & ( ~
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_233_1 = 0) | ~ (all_233_2 = 0) | all_233_0
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0)
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (557) implies:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (558) aNaturalNumber0(all_35_3) = all_233_2
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (559) aNaturalNumber0(all_35_1) = all_233_0
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (552) with fresh symbols all_235_0,
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_235_1, all_235_2 gives:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (560) aNaturalNumber0(all_164_1) = all_235_0 &
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = all_235_1 &
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = all_235_2 & ( ~ (all_235_1 =
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_235_2 = 0) | all_235_0 = 0)
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (560) implies:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (561) aNaturalNumber0(xl) = all_235_2
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (553) with fresh symbols all_237_0,
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_237_1, all_237_2 gives:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562) sdtasdt0(all_164_1, all_35_3) = all_237_0 &
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_164_1) = all_237_1 &
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = all_237_2 &
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_237_0) & ( ~ (all_237_1 = 0) | ~
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_237_2 = 0) | all_237_0 = all_35_1)
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (562) implies:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (563) aNaturalNumber0(all_35_3) = all_237_2
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (551) with fresh symbols all_239_0,
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_239_1, all_239_2 gives:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (564) sdtasdt0(xn, xl) = all_239_0 & aNaturalNumber0(xn)
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_239_1 & aNaturalNumber0(xl) = all_239_2 &
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_239_0) & ( ~ (all_239_1 = 0) | ~
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_239_2 = 0) | all_239_0 = all_164_1)
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (564) implies:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (565) aNaturalNumber0(xl) = all_239_2
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (555) with fresh symbols all_241_0,
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_241_1, all_241_2, all_241_3, all_241_4 gives:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (566) sdtasdt0(all_35_3, all_241_1) = all_241_0 &
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(xn, xl) = all_241_1 &
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = all_241_4 &
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = all_241_3 &
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = all_241_2 & $i(all_241_0) &
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_241_1) & ( ~ (all_241_2 = 0) | ~
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_241_3 = 0) | ~ (all_241_4 = 0) | all_241_0
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_35_1)
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (566) implies:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (567) aNaturalNumber0(xl) = all_241_2
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (568) aNaturalNumber0(all_35_3) = all_241_4
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_241_2, xl,
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (6), (567) gives:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (569) all_241_2 = 0
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_239_2, all_241_2, xl,
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (565), (567) gives:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (570) all_241_2 = all_239_2
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_235_2, all_241_2, xl,
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (561), (567) gives:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (571) all_241_2 = all_235_2
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_241_4, all_35_3,
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (173), (568) gives:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (572) all_241_4 = 0
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_237_2, all_241_4,
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_3, simplifying with (563), (568) gives:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (573) all_241_4 = all_237_2
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_233_2, all_241_4,
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_3, simplifying with (558), (568) gives:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (574) all_241_4 = all_233_2
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_233_0, all_35_1,
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (124), (559) gives:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (575) all_233_0 = 0
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (569), (570) imply:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (576) all_239_2 = 0
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (571) imply:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (577) all_239_2 = all_235_2
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (573), (574) imply:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (578) all_237_2 = all_233_2
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (573) imply:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (579) all_237_2 = 0
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (576), (577) imply:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (580) all_235_2 = 0
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (580) implies:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (581) all_235_2 = 0
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (579) imply:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (582) all_233_2 = 0
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (556) gives:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (583) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xm)
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v1 & aNaturalNumber0(xl) = v0 & ( ~ (v1 = 0) |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0)))
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (583) with fresh symbols all_265_0,
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_265_1 gives:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (584) aNaturalNumber0(xm) = all_265_0 &
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = all_265_1 & ( ~ (all_265_0 =
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_265_1 = 0))
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (584) implies:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (585) aNaturalNumber0(xl) = all_265_1
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (586) aNaturalNumber0(xm) = all_265_0
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (587) ~ (all_265_0 = 0) | ~ (all_265_1 = 0)
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_265_1, xl,
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (6), (585) gives:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (588) all_265_1 = 0
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_265_0, xm,
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (7), (586) gives:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (589) all_265_0 = 0
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (587) gives:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (590) ~ (all_265_0 = 0)
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (589), (590) imply:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (591) $false
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (591) is inconsistent.
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (592) ~ (all_265_1 = 0)
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (588), (592) imply:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (593) $false
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (593) is inconsistent.
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (594) ? [v0: $i] : (sdtpldt0(xl, v0) = xm &
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = 0 & $i(v0))
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (594) with fresh symbol all_265_0
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (595) sdtpldt0(xl, all_265_0) = xm &
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_265_0) = 0 & $i(all_265_0)
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (595) implies:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (596) $i(all_265_0)
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (597) aNaturalNumber0(all_265_0) = 0
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (598) sdtpldt0(xl, all_265_0) = xm
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mDivMin) with xl, xl, all_265_0,
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xm, simplifying with (9), (11), (596), (598)
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (599) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : (doDivides0(xl,
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_265_0) = v4 & doDivides0(xl, xl) = v3 &
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_265_0) = v2 &
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = v1 & aNaturalNumber0(xl) =
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v4 = 0))
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddComm) with xl, all_265_0, xm,
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11), (596), (598) gives:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (600) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtpldt0(all_265_0, xl) = v2 &
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_265_0) = v1 &
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = v0 & $i(v2) & ( ~ (v1 = 0)
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = xm))
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (600) with fresh symbols all_306_0,
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_306_1, all_306_2 gives:
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (601) sdtpldt0(all_265_0, xl) = all_306_0 &
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_265_0) = all_306_1 &
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = all_306_2 & $i(all_306_0) &
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_306_1 = 0) | ~ (all_306_2 = 0) |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_306_0 = xm)
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (601) implies:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (602) aNaturalNumber0(xl) = all_306_2
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (603) aNaturalNumber0(all_265_0) = all_306_1
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (604) sdtpldt0(all_265_0, xl) = all_306_0
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (605) ~ (all_306_1 = 0) | ~ (all_306_2 = 0) |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_306_0 = xm
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (599) with fresh symbols all_308_0,
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_308_1, all_308_2, all_308_3, all_308_4 gives:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (606) doDivides0(xl, all_265_0) = all_308_0 &
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | doDivides0(xl, xl) = all_308_1 &
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_265_0) = all_308_2 &
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = all_308_3 &
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = all_308_4 & ( ~ (all_308_1 =
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_308_2 = 0) | ~ (all_308_3 = 0) |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_308_4 = 0) | all_308_0 = 0)
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (606) implies:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (607) aNaturalNumber0(xl) = all_308_4
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (608) aNaturalNumber0(xl) = all_308_3
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (609) aNaturalNumber0(all_265_0) = all_308_2
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (610) doDivides0(xl, all_265_0) = all_308_0
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_308_4, xl,
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (6), (607) gives:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (611) all_308_4 = 0
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_308_4, all_308_3, xl,
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (607), (608) gives:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (612) all_308_3 = all_308_4
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_306_2, all_308_3, xl,
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (602), (608) gives:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (613) all_308_3 = all_306_2
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_308_2, all_265_0,
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (597), (609) gives:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (614) all_308_2 = 0
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_306_1, all_308_2,
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_265_0, simplifying with (603), (609) gives:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (615) all_308_2 = all_306_1
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (614), (615) imply:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (616) all_306_1 = 0
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (613) imply:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (617) all_308_4 = all_306_2
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (617) implies:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (618) all_308_4 = all_306_2
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (611), (618) imply:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (619) all_306_2 = 0
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (605) gives:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (620) ~ (all_306_1 = 0)
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (616), (620) imply:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (621) $false
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (621) is inconsistent.
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (622) ~ (all_306_2 = 0) | all_306_0 = xm
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (622) gives:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (623) ~ (all_306_2 = 0)
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (619), (623) imply:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (624) $false
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (624) is inconsistent.
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (625) all_306_0 = xm
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (604), (625) imply:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (626) sdtpldt0(all_265_0, xl) = xm
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (627) all_35_2 = all_35_3
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (627) imply:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (628) ~ (all_35_0 = all_35_3)
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (247), (627) imply:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (629) sdtasdt0(all_35_3, xl) = all_35_1
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with xm, all_35_1, xl,
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_3, simplifying with (180), (629) gives:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (630) all_35_1 = xm
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (26), (630) imply:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (631) sdtsldt0(xm, xl) = all_35_0
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_35_3, all_35_0, xl,
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xm, simplifying with (25), (631) gives:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (632) all_35_0 = all_35_3
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (632) imply:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (633) $false
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (633) is inconsistent.
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (634) ~ (all_35_2 = all_35_3)
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (635) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ?
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : (sdtasdt0(all_35_2, xl) = v2 &
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(all_35_3, xl) = v3 &
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_2) = v0 &
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = v1 & $i(v3) & $i(v2)
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) &
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_35_1 = xm))))
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (635) with fresh symbols all_335_0,
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_335_1, all_335_2, all_335_3 gives:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (636) sdtasdt0(all_35_2, xl) = all_335_1 &
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(all_35_3, xl) = all_335_0 &
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_2) = all_335_3 &
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = all_335_2 &
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_335_0) & $i(all_335_1) & ( ~ (all_335_2 =
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_335_3 = 0) | ( ~ (all_335_0 =
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_335_1) & ~ (all_35_1 = xm)))
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (636) implies:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (637) $i(all_335_1)
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (638) aNaturalNumber0(all_35_3) = all_335_2
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (639) aNaturalNumber0(all_35_2) = all_335_3
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (640) sdtasdt0(all_35_2, xl) = all_335_1
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (641) ~ (all_335_2 = 0) | ~ (all_335_3 = 0) | ( ~
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_335_0 = all_335_1) & ~ (all_35_1 = xm))
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (642) all_35_2 = all_35_3
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (634), (642) imply:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (643) $false
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (643) is inconsistent.
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (644) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ?
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : (sdtasdt0(all_35_2, xl) = v3 &
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(all_35_3, xl) = v2 &
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_2) = v1 &
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = v0 & $i(v3) & $i(v2)
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) &
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_35_1 = xm))))
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (644) with fresh symbols all_341_0,
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_341_1, all_341_2, all_341_3 gives:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (645) sdtasdt0(all_35_2, xl) = all_341_0 &
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(all_35_3, xl) = all_341_1 &
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_2) = all_341_2 &
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_3) = all_341_3 &
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_341_0) & $i(all_341_1) & ( ~ (all_341_2 =
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_341_3 = 0) | ( ~ (all_341_0 =
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_341_1) & ~ (all_35_1 = xm)))
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (645) implies:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (646) aNaturalNumber0(all_35_3) = all_341_3
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (647) aNaturalNumber0(all_35_2) = all_341_2
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (648) sdtasdt0(all_35_2, xl) = all_341_0
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_341_3, all_35_3,
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (173), (646) gives:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (649) all_341_3 = 0
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_335_2, all_341_3,
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_3, simplifying with (638), (646) gives:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (650) all_341_3 = all_335_2
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_341_2, all_35_2,
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (202), (647) gives:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (651) all_341_2 = 0
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_335_3, all_341_2,
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_2, simplifying with (639), (647) gives:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (652) all_341_2 = all_335_3
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_35_1, all_341_0, xl,
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_2, simplifying with (247), (648) gives:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (653) all_341_0 = all_35_1
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_335_1, all_341_0, xl,
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_35_2, simplifying with (640), (648) gives:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (654) all_341_0 = all_335_1
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (653), (654) imply:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (655) all_335_1 = all_35_1
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (651), (652) imply:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (656) all_335_3 = 0
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (649), (650) imply:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (657) all_335_2 = 0
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (657) implies:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (658) all_335_2 = 0
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (641) gives:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (659) ~ (all_335_2 = 0)
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (658), (659) imply:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (660) $false
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (660) is inconsistent.
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (661) ~ (all_335_3 = 0) | ( ~ (all_335_0 = all_335_1) &
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_35_1 = xm))
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (661) gives:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (662) ~ (all_335_3 = 0)
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (656), (662) imply:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (663) $false
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (663) is inconsistent.
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mDivMin) with xl, all_265_0, xl,
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xm, simplifying with (9), (11), (596), (626)
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (664) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : (doDivides0(xl,
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_265_0) = v3 & doDivides0(xl, xl) = v4 &
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_265_0) = v1 &
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = v2 & aNaturalNumber0(xl) =
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v4 = 0))
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mDefDiv) with xl, all_265_0,
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_308_0, simplifying with (11), (596), (610)
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (665) ? [v0: any] : ? [v1: any] :
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_265_0) = v1 &
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = v0 & ( ~ (v1 = 0) | ~ (v0
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0))) | (( ~ (all_308_0 = 0) | ? [v0: $i]
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | : (sdtasdt0(xl, v0) = all_265_0 &
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = 0 & $i(v0))) &
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_308_0 = 0 | ! [v0: $i] : ( ~ (sdtasdt0(xl,
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v0) = all_265_0) | ~ $i(v0) | ? [v1:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | int] : ( ~ (v1 = 0) & aNaturalNumber0(v0)
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v1))))
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (664) with fresh symbols all_360_0,
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_360_1, all_360_2, all_360_3, all_360_4 gives:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (666) doDivides0(xl, all_265_0) = all_360_1 &
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | doDivides0(xl, xl) = all_360_0 &
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_265_0) = all_360_3 &
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = all_360_2 &
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = all_360_4 & ( ~ (all_360_1 =
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_360_2 = 0) | ~ (all_360_3 = 0) |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_360_4 = 0) | all_360_0 = 0)
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (666) implies:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (667) aNaturalNumber0(xl) = all_360_4
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (668) aNaturalNumber0(xl) = all_360_2
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (669) aNaturalNumber0(all_265_0) = all_360_3
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_360_2, xl,
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (6), (668) gives:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (670) all_360_2 = 0
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_360_4, all_360_2, xl,
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (667), (668) gives:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (671) all_360_2 = all_360_4
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_360_3, all_265_0,
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (597), (669) gives:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (672) all_360_3 = 0
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (670), (671) imply:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (673) all_360_4 = 0
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (673) implies:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (674) all_360_4 = 0
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (550) gives:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (675) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (doDivides0(xl, all_35_1) = v2 &
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_1) = v1 &
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = v0 & ( ~ (v2 = 0) | ~ (v1
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | ~ (v0 = 0)))
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (675) with fresh symbols all_397_0,
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_397_1, all_397_2 gives:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (676) doDivides0(xl, all_35_1) = all_397_0 &
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_1) = all_397_1 &
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = all_397_2 & ( ~ (all_397_0 =
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_397_1 = 0) | ~ (all_397_2 = 0))
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (676) implies:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (677) aNaturalNumber0(xl) = all_397_2
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (678) aNaturalNumber0(all_35_1) = all_397_1
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (679) doDivides0(xl, all_35_1) = all_397_0
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (680) ~ (all_397_0 = 0) | ~ (all_397_1 = 0) | ~
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_397_2 = 0)
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_397_2, xl,
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (6), (677) gives:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (681) all_397_2 = 0
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_397_1, all_35_1,
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (124), (678) gives:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (682) all_397_1 = 0
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (680) gives:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (683) ~ (all_397_0 = 0)
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (665) gives:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (684) ? [v0: any] : ? [v1: any] :
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_265_0) = v1 &
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = v0 & ( ~ (v1 = 0) | ~ (v0
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0)))
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (684) with fresh symbols all_475_0,
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_475_1 gives:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (685) aNaturalNumber0(all_265_0) = all_475_0 &
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = all_475_1 & ( ~ (all_475_0 =
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_475_1 = 0))
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (685) implies:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (686) aNaturalNumber0(xl) = all_475_1
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (687) aNaturalNumber0(all_265_0) = all_475_0
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (688) ~ (all_475_0 = 0) | ~ (all_475_1 = 0)
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_475_1, xl,
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (6), (686) gives:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (689) all_475_1 = 0
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_475_0, all_265_0,
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (597), (687) gives:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (690) all_475_0 = 0
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (688) gives:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (691) ~ (all_475_0 = 0)
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (690), (691) imply:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (692) $false
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (692) is inconsistent.
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (693) ~ (all_475_1 = 0)
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (689), (693) imply:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (694) $false
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (694) is inconsistent.
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mDefDiv) with xl, all_35_1,
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_397_0, simplifying with (11), (22), (679)
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (695) ? [v0: any] : ? [v1: any] :
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_35_1) = v1 &
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = v0 & ( ~ (v1 = 0) | ~ (v0
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0))) | (( ~ (all_397_0 = 0) | ? [v0: $i]
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | : (sdtasdt0(xl, v0) = all_35_1 &
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = 0 & $i(v0))) &
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_397_0 = 0 | ! [v0: $i] : ( ~ (sdtasdt0(xl,
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v0) = all_35_1) | ~ $i(v0) | ? [v1:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | int] : ( ~ (v1 = 0) & aNaturalNumber0(v0)
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v1))))
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (695) gives:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (696) ? [v0: any] : ? [v1: any] :
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_35_1) = v1 &
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = v0 & ( ~ (v1 = 0) | ~ (v0
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0)))
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (696) with fresh symbols all_544_0,
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_544_1 gives:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (697) aNaturalNumber0(all_35_1) = all_544_0 &
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = all_544_1 & ( ~ (all_544_0 =
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_544_1 = 0))
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (697) implies:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (698) aNaturalNumber0(xl) = all_544_1
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (699) aNaturalNumber0(all_35_1) = all_544_0
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (700) ~ (all_544_0 = 0) | ~ (all_544_1 = 0)
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_544_1, xl,
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (6), (698) gives:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (701) all_544_1 = 0
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_544_0, all_35_1,
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (124), (699) gives:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (702) all_544_0 = 0
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (700) gives:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (703) ~ (all_544_0 = 0)
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (703) imply:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (704) $false
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (704) is inconsistent.
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (705) ~ (all_544_1 = 0)
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (701), (705) imply:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (706) $false
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (706) is inconsistent.
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (707) ( ~ (all_397_0 = 0) | ? [v0: $i] : (sdtasdt0(xl,
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v0) = all_35_1 & aNaturalNumber0(v0) = 0 &
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v0))) & (all_397_0 = 0 | ! [v0: $i] : ( ~
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(xl, v0) = all_35_1) | ~ $i(v0) | ?
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v1: int] : ( ~ (v1 = 0) & aNaturalNumber0(v0)
% 39.14/6.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v1)))
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (707) implies:
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (708) all_397_0 = 0 | ! [v0: $i] : ( ~ (sdtasdt0(xl,
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v0) = all_35_1) | ~ $i(v0) | ? [v1: int] :
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (708) gives:
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (709) all_397_0 = 0
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (709) imply:
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (710) $false
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (710) is inconsistent.
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (711) ! [v0: $i] : ( ~ (sdtasdt0(xl, v0) = all_35_1) |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = v1))
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (711) with all_35_2, simplifying
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | with (210), (211) gives:
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (712) ? [v0: int] : ( ~ (v0 = 0) &
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_2) = v0)
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (712) with fresh symbol all_480_0
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (713) ~ (all_480_0 = 0) & aNaturalNumber0(all_35_2) =
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_480_0
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (713) implies:
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (714) ~ (all_480_0 = 0)
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (715) aNaturalNumber0(all_35_2) = all_480_0
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_480_0, all_35_2,
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (202), (715) gives:
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (716) all_480_0 = 0
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (716) imply:
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (717) $false
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (717) is inconsistent.
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (718) ~ (all_397_1 = 0) | ~ (all_397_2 = 0)
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (718) gives:
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (719) ~ (all_397_1 = 0)
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (719) imply:
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (720) $false
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (720) is inconsistent.
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (721) ~ (all_397_2 = 0)
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (721) imply:
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (722) $false
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (722) is inconsistent.
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (723) ! [v0: any] : (v0 = all_35_0 | ~ (sdtasdt0(xl,
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v0) = all_35_1) | ~ $i(v0) | ? [v1: int] :
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1)) & !
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v0: $i] : ( ~ (sdtasdt0(xl, all_35_0) = v0) | ~
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_35_0) | (v0 = all_35_1 &
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_0) = 0))
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (723) implies:
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (724) ! [v0: any] : (v0 = all_35_0 | ~ (sdtasdt0(xl,
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v0) = all_35_1) | ~ $i(v0) | ? [v1: int] :
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (724) with all_35_2, simplifying
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | with (210), (211) gives:
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (725) all_35_0 = all_35_2 | ? [v0: int] : ( ~ (v0 = 0)
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & aNaturalNumber0(all_35_2) = v0)
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (725) gives:
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (726) all_35_0 = all_35_2
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (726) imply:
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (727) $false
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (727) is inconsistent.
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (728) ? [v0: int] : ( ~ (v0 = 0) &
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_35_2) = v0)
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (728) with fresh symbol all_414_0
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (729) ~ (all_414_0 = 0) & aNaturalNumber0(all_35_2) =
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_414_0
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (729) implies:
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (730) ~ (all_414_0 = 0)
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (731) aNaturalNumber0(all_35_2) = all_414_0
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_414_0, all_35_2,
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (202), (731) gives:
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (732) all_414_0 = 0
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (730), (732) imply:
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (733) $false
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (733) is inconsistent.
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | | End of split
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% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | | End of split
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% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.11 | | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | | End of split
% 39.14/6.11 | | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | | End of split
% 39.14/6.11 | | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | | End of split
% 39.14/6.11 | | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | | End of split
% 39.14/6.11 | | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | | End of split
% 39.14/6.11 | | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | | End of split
% 39.14/6.11 | | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | | End of split
% 39.14/6.11 | | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | | End of split
% 39.14/6.11 | | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | End of split
% 39.14/6.11 | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | Case 2:
% 39.14/6.11 | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | (734) ? [v0: int] : ( ~ (v0 = 0) &
% 39.14/6.11 | | | | | | | | | | aNaturalNumber0(all_72_0) = v0)
% 39.14/6.11 | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | DELTA: instantiating (734) with fresh symbol all_109_0
% 39.14/6.11 | | | | | | | | | | gives:
% 39.14/6.11 | | | | | | | | | | (735) ~ (all_109_0 = 0) & aNaturalNumber0(all_72_0) =
% 39.14/6.11 | | | | | | | | | | all_109_0
% 39.14/6.11 | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | ALPHA: (735) implies:
% 39.14/6.11 | | | | | | | | | | (736) ~ (all_109_0 = 0)
% 39.14/6.11 | | | | | | | | | | (737) aNaturalNumber0(all_72_0) = all_109_0
% 39.14/6.11 | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_109_0, all_72_0,
% 39.14/6.11 | | | | | | | | | | simplifying with (94), (737) gives:
% 39.14/6.11 | | | | | | | | | | (738) all_109_0 = 0
% 39.14/6.11 | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | REDUCE: (736), (738) imply:
% 39.14/6.11 | | | | | | | | | | (739) $false
% 39.14/6.11 | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | | CLOSE: (739) is inconsistent.
% 39.14/6.11 | | | | | | | | | |
% 39.14/6.11 | | | | | | | | | End of split
% 39.14/6.11 | | | | | | | | |
% 39.14/6.11 | | | | | | | | End of split
% 39.14/6.11 | | | | | | | |
% 39.14/6.11 | | | | | | | End of split
% 39.14/6.11 | | | | | | |
% 39.14/6.11 | | | | | | End of split
% 39.14/6.11 | | | | | |
% 39.14/6.11 | | | | | End of split
% 39.14/6.11 | | | | |
% 39.14/6.11 | | | | End of split
% 39.14/6.11 | | | |
% 39.14/6.11 | | | End of split
% 39.14/6.11 | | |
% 39.14/6.11 | | End of split
% 39.14/6.11 | |
% 39.14/6.11 | End of split
% 39.14/6.11 |
% 39.14/6.11 End of proof
% 39.14/6.11 % SZS output end Proof for theBenchmark
% 39.14/6.11
% 39.14/6.11 5495ms
%------------------------------------------------------------------------------