TSTP Solution File: NUM495+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : NUM495+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 : n017.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 11:48:09 EDT 2023
% Result : Theorem 13.61s 3.06s
% Output : Proof 37.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM495+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Aug 25 07:53:10 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.63 ________ _____
% 0.22/0.63 ___ __ \_________(_)________________________________
% 0.22/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.22/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.22/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.22/0.63
% 0.22/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.22/0.63 (2023-06-19)
% 0.22/0.63
% 0.22/0.63 (c) Philipp Rümmer, 2009-2023
% 0.22/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.22/0.63 Amanda Stjerna.
% 0.22/0.63 Free software under BSD-3-Clause.
% 0.22/0.63
% 0.22/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.22/0.63
% 0.22/0.63 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.22/0.64 Running up to 7 provers in parallel.
% 0.22/0.67 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.22/0.67 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.22/0.67 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.22/0.67 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.22/0.67 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.22/0.67 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.22/0.67 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.03/1.30 Prover 1: Preprocessing ...
% 3.03/1.30 Prover 4: Preprocessing ...
% 3.59/1.36 Prover 3: Preprocessing ...
% 3.59/1.36 Prover 0: Preprocessing ...
% 3.59/1.36 Prover 6: Preprocessing ...
% 3.59/1.36 Prover 5: Preprocessing ...
% 3.59/1.37 Prover 2: Preprocessing ...
% 8.52/2.25 Prover 1: Constructing countermodel ...
% 9.20/2.31 Prover 3: Constructing countermodel ...
% 9.34/2.36 Prover 6: Proving ...
% 9.83/2.45 Prover 5: Constructing countermodel ...
% 11.35/2.68 Prover 2: Proving ...
% 11.81/2.81 Prover 4: Constructing countermodel ...
% 12.39/2.86 Prover 0: Proving ...
% 13.61/3.06 Prover 3: proved (2385ms)
% 13.61/3.06
% 13.61/3.06 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.61/3.06
% 13.61/3.06 Prover 5: stopped
% 13.61/3.06 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 13.61/3.06 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 13.61/3.06 Prover 2: stopped
% 13.61/3.06 Prover 6: stopped
% 13.61/3.07 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 13.61/3.07 Prover 0: stopped
% 13.61/3.10 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 13.61/3.10 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 14.18/3.26 Prover 7: Preprocessing ...
% 14.18/3.28 Prover 8: Preprocessing ...
% 14.18/3.28 Prover 10: Preprocessing ...
% 14.18/3.29 Prover 13: Preprocessing ...
% 15.06/3.31 Prover 11: Preprocessing ...
% 15.92/3.46 Prover 10: Constructing countermodel ...
% 15.92/3.50 Prover 8: Warning: ignoring some quantifiers
% 16.52/3.52 Prover 13: Constructing countermodel ...
% 16.52/3.53 Prover 8: Constructing countermodel ...
% 16.52/3.58 Prover 7: Constructing countermodel ...
% 19.56/4.00 Prover 11: Constructing countermodel ...
% 35.90/6.65 Prover 1: Found proof (size 680)
% 35.90/6.65 Prover 1: proved (5994ms)
% 35.90/6.65 Prover 10: stopped
% 35.90/6.65 Prover 8: stopped
% 35.90/6.65 Prover 7: stopped
% 35.90/6.66 Prover 11: stopped
% 35.90/6.66 Prover 4: stopped
% 35.90/6.66 Prover 13: stopped
% 35.90/6.66
% 35.90/6.66 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 35.90/6.66
% 36.94/6.77 % SZS output start Proof for theBenchmark
% 36.94/6.77 Assumptions after simplification:
% 36.94/6.77 ---------------------------------
% 36.94/6.77
% 36.94/6.77 (mAddAsso)
% 37.12/6.80 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 37.12/6.80 (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1)
% 37.12/6.80 | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: $i] : ?
% 37.12/6.80 [v9: $i] : (sdtpldt0(v1, v2) = v8 & sdtpldt0(v0, v8) = v9 &
% 37.12/6.80 aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0)
% 37.12/6.80 = v5 & $i(v9) & $i(v8) & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 =
% 37.12/6.80 v4)))
% 37.12/6.80
% 37.12/6.80 (mAddComm)
% 37.12/6.80 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtpldt0(v0, v1) = v2) | ~
% 37.12/6.80 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] :
% 37.12/6.80 (sdtpldt0(v1, v0) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3
% 37.12/6.80 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2)))
% 37.12/6.80
% 37.12/6.80 (mDefDiff)
% 37.12/6.81 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtmndt0(v1, v0) = v2) | ~
% 37.12/6.81 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 37.12/6.81 (sdtlseqdt0(v0, v1) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) =
% 37.12/6.81 v3 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0))) | ( ! [v3: $i] : (v3 = v2
% 37.12/6.81 | ~ (sdtpldt0(v0, v3) = v1) | ~ $i(v3) | ? [v4: int] : ( ~ (v4 = 0) &
% 37.12/6.81 aNaturalNumber0(v3) = v4)) & ! [v3: $i] : ( ~ (sdtpldt0(v0, v2) = v3)
% 37.12/6.81 | ~ $i(v2) | (v3 = v1 & aNaturalNumber0(v2) = 0))))
% 37.12/6.81
% 37.12/6.81 (mDefDiv)
% 37.12/6.81 ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~ (doDivides0(v0, v1) = v2) | ~
% 37.12/6.81 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : (aNaturalNumber0(v1) = v4
% 37.12/6.81 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))) | (( ~ (v2 = 0)
% 37.12/6.81 | ? [v3: $i] : (sdtasdt0(v0, v3) = v1 & aNaturalNumber0(v3) = 0 &
% 37.12/6.81 $i(v3))) & (v2 = 0 | ! [v3: $i] : ( ~ (sdtasdt0(v0, v3) = v1) | ~
% 37.12/6.81 $i(v3) | ? [v4: int] : ( ~ (v4 = 0) & aNaturalNumber0(v3) = v4)))))
% 37.12/6.81
% 37.12/6.81 (mDefLE)
% 37.12/6.81 ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~ (sdtlseqdt0(v0, v1) = v2) | ~
% 37.12/6.81 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : (aNaturalNumber0(v1) = v4
% 37.12/6.81 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))) | (( ~ (v2 = 0)
% 37.12/6.81 | ? [v3: $i] : (sdtpldt0(v0, v3) = v1 & aNaturalNumber0(v3) = 0 &
% 37.12/6.81 $i(v3))) & (v2 = 0 | ! [v3: $i] : ( ~ (sdtpldt0(v0, v3) = v1) | ~
% 37.12/6.81 $i(v3) | ? [v4: int] : ( ~ (v4 = 0) & aNaturalNumber0(v3) = v4)))))
% 37.12/6.81
% 37.12/6.81 (mDefPrime)
% 37.12/6.82 $i(sz10) & $i(sz00) & ! [v0: $i] : ! [v1: any] : ( ~ (isPrime0(v0) = v1) |
% 37.12/6.82 ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & aNaturalNumber0(v0) = v2) | (( ~
% 37.12/6.82 (v1 = 0) | ( ~ (v0 = sz10) & ~ (v0 = sz00) & ! [v2: $i] : (v2 = v0 |
% 37.12/6.82 v2 = sz10 | ~ (doDivides0(v2, v0) = 0) | ~ $i(v2) | ? [v3: int] :
% 37.12/6.82 ( ~ (v3 = 0) & aNaturalNumber0(v2) = v3)))) & (v1 = 0 | v0 = sz10 |
% 37.12/6.82 v0 = sz00 | ? [v2: $i] : ( ~ (v2 = v0) & ~ (v2 = sz10) &
% 37.12/6.82 doDivides0(v2, v0) = 0 & aNaturalNumber0(v2) = 0 & $i(v2)))))
% 37.12/6.82
% 37.12/6.82 (mDivTrans)
% 37.12/6.82 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 37.12/6.82 (doDivides0(v0, v2) = v3) | ~ (doDivides0(v0, v1) = 0) | ~ $i(v2) | ~
% 37.12/6.82 $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7:
% 37.12/6.82 any] : (doDivides0(v1, v2) = v7 & aNaturalNumber0(v2) = v6 &
% 37.12/6.82 aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v7 = 0) | ~
% 37.12/6.82 (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0))))
% 37.12/6.82
% 37.12/6.82 (mIH_03)
% 37.12/6.82 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | v1 = v0 | ~ (iLess0(v0,
% 37.12/6.82 v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ?
% 37.12/6.82 [v5: any] : (sdtlseqdt0(v0, v1) = v5 & aNaturalNumber0(v1) = v4 &
% 37.12/6.82 aNaturalNumber0(v0) = v3 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0))))
% 37.12/6.82
% 37.12/6.82 (mLEAsym)
% 37.12/6.82 ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (sdtlseqdt0(v0, v1) = 0) | ~ $i(v1)
% 37.12/6.82 | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] : (sdtlseqdt0(v1,
% 37.12/6.82 v0) = v4 & aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v4
% 37.12/6.82 = 0) | ~ (v3 = 0) | ~ (v2 = 0))))
% 37.12/6.82
% 37.12/6.82 (mMulCanc)
% 37.12/6.82 $i(sz00) & ! [v0: $i] : (v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) | ~ $i(v0)
% 37.12/6.82 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v2 = v1 | ~
% 37.12/6.82 (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ $i(v2) | ~
% 37.12/6.82 $i(v1) | ? [v5: any] : ? [v6: any] : ? [v7: $i] : ? [v8: $i] :
% 37.12/6.82 (sdtasdt0(v2, v0) = v8 & sdtasdt0(v1, v0) = v7 & aNaturalNumber0(v2) = v6
% 37.12/6.82 & aNaturalNumber0(v1) = v5 & $i(v8) & $i(v7) & ( ~ (v6 = 0) | ~ (v5 =
% 37.12/6.82 0) | ( ~ (v8 = v7) & ~ (v4 = v3))))))
% 37.12/6.82
% 37.12/6.82 (mMulComm)
% 37.12/6.82 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) | ~
% 37.12/6.82 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] :
% 37.12/6.82 (sdtasdt0(v1, v0) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3
% 37.12/6.82 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2)))
% 37.12/6.82
% 37.12/6.82 (mPrimDiv)
% 37.12/6.82 $i(sz10) & $i(sz00) & ! [v0: $i] : (v0 = sz10 | v0 = sz00 | ~
% 37.12/6.82 (aNaturalNumber0(v0) = 0) | ~ $i(v0) | ? [v1: $i] : (isPrime0(v1) = 0 &
% 37.12/6.82 doDivides0(v1, v0) = 0 & aNaturalNumber0(v1) = 0 & $i(v1)))
% 37.12/6.82
% 37.12/6.82 (mSortsB)
% 37.12/6.82 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtpldt0(v0, v1) = v2) | ~
% 37.12/6.82 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 37.12/6.82 (aNaturalNumber0(v2) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) =
% 37.12/6.82 v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 37.12/6.82
% 37.12/6.82 (mSortsB_02)
% 37.12/6.83 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) | ~
% 37.12/6.83 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 37.12/6.83 (aNaturalNumber0(v2) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) =
% 37.12/6.83 v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 37.12/6.83
% 37.12/6.83 (m__)
% 37.12/6.83 $i(xr) & $i(xp) & $i(xm) & ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~ (v0
% 37.12/6.83 = 0) & doDivides0(xp, xr) = v0 & doDivides0(xp, xm) = v1)
% 37.12/6.83
% 37.12/6.83 (m__1799)
% 37.12/6.83 $i(xp) & $i(xm) & $i(xn) & ? [v0: $i] : ? [v1: $i] : (sdtpldt0(v0, xp) = v1
% 37.12/6.83 & sdtpldt0(xn, xm) = v0 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : !
% 37.12/6.83 [v4: $i] : ! [v5: $i] : ( ~ (doDivides0(v4, v5) = 0) | ~ (sdtasdt0(v2, v3)
% 37.12/6.83 = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ? [v6: any] : ? [v7: any]
% 37.12/6.83 : ? [v8: any] : ? [v9: any] : ? [v10: $i] : ? [v11: $i] : ? [v12:
% 37.12/6.83 any] : ? [v13: any] : ? [v14: any] : (isPrime0(v4) = v9 &
% 37.12/6.83 doDivides0(v4, v3) = v14 & doDivides0(v4, v2) = v13 & iLess0(v11, v1) =
% 37.12/6.83 v12 & sdtpldt0(v10, v4) = v11 & sdtpldt0(v2, v3) = v10 &
% 37.12/6.83 aNaturalNumber0(v4) = v8 & aNaturalNumber0(v3) = v7 &
% 37.12/6.83 aNaturalNumber0(v2) = v6 & $i(v11) & $i(v10) & ( ~ (v12 = 0) | ~ (v9 =
% 37.12/6.83 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v14 = 0 | v13 = 0))))
% 37.12/6.83
% 37.12/6.83 (m__1837)
% 37.12/6.83 aNaturalNumber0(xp) = 0 & aNaturalNumber0(xm) = 0 & aNaturalNumber0(xn) = 0 &
% 37.12/6.83 $i(xp) & $i(xm) & $i(xn)
% 37.12/6.83
% 37.12/6.83 (m__1860)
% 37.12/6.83 $i(xp) & $i(xm) & $i(xn) & ? [v0: $i] : (isPrime0(xp) = 0 & doDivides0(xp,
% 37.12/6.83 v0) = 0 & sdtasdt0(xn, xm) = v0 & $i(v0))
% 37.12/6.83
% 37.12/6.83 (m__1870)
% 37.12/6.83 sdtlseqdt0(xp, xn) = 0 & $i(xp) & $i(xn)
% 37.12/6.83
% 37.12/6.83 (m__1883)
% 37.12/6.83 sdtmndt0(xn, xp) = xr & $i(xr) & $i(xp) & $i(xn)
% 37.12/6.83
% 37.12/6.83 (m__1894)
% 37.12/6.83 ~ (xr = xn) & sdtlseqdt0(xr, xn) = 0 & $i(xr) & $i(xn)
% 37.12/6.83
% 37.12/6.83 (m__1913)
% 37.12/6.83 $i(xr) & $i(xp) & $i(xm) & ? [v0: $i] : (doDivides0(xp, v0) = 0 &
% 37.12/6.83 sdtasdt0(xr, xm) = v0 & $i(v0))
% 37.12/6.83
% 37.12/6.83 (m__2062)
% 37.12/6.83 $i(xr) & $i(xp) & $i(xm) & $i(xn) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 37.12/6.83 ? [v3: $i] : ( ~ (v3 = v1) & sdtlseqdt0(v1, v3) = 0 & sdtpldt0(v2, xp) = v3 &
% 37.12/6.83 sdtpldt0(v0, xp) = v1 & sdtpldt0(xr, xm) = v0 & sdtpldt0(xn, xm) = v2 &
% 37.12/6.83 $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 37.12/6.83
% 37.12/6.83 (function-axioms)
% 37.12/6.84 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 37.12/6.84 (sdtsldt0(v3, v2) = v1) | ~ (sdtsldt0(v3, v2) = v0)) & ! [v0:
% 37.12/6.84 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 37.33/6.84 : (v1 = v0 | ~ (doDivides0(v3, v2) = v1) | ~ (doDivides0(v3, v2) = v0)) & !
% 37.33/6.84 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 37.33/6.84 $i] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0)) & !
% 37.33/6.84 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 37.33/6.84 (sdtmndt0(v3, v2) = v1) | ~ (sdtmndt0(v3, v2) = v0)) & ! [v0:
% 37.33/6.84 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 37.33/6.84 : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~ (sdtlseqdt0(v3, v2) = v0)) & !
% 37.33/6.84 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 37.33/6.84 (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0)) & ! [v0: $i] : !
% 37.33/6.84 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) |
% 37.33/6.84 ~ (sdtpldt0(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 37.33/6.84 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (isPrime0(v2) = v1) | ~
% 37.33/6.84 (isPrime0(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 37.33/6.84 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1)
% 37.33/6.84 | ~ (aNaturalNumber0(v2) = v0))
% 37.33/6.84
% 37.33/6.84 Further assumptions not needed in the proof:
% 37.33/6.84 --------------------------------------------
% 37.33/6.84 mAMDistr, mAddCanc, mDefQuot, mDivAsso, mDivLE, mDivMin, mDivSum, mIH, mLENTr,
% 37.33/6.84 mLERefl, mLETotal, mLETran, mMonAdd, mMonMul, mMonMul2, mMulAsso, mNatSort,
% 37.33/6.84 mSortsC, mSortsC_01, mZeroAdd, mZeroMul, m_AddZero, m_MulUnit, m_MulZero
% 37.33/6.84
% 37.33/6.84 Those formulas are unsatisfiable:
% 37.33/6.84 ---------------------------------
% 37.33/6.84
% 37.33/6.84 Begin of proof
% 37.33/6.84 |
% 37.33/6.84 | ALPHA: (mMulCanc) implies:
% 37.34/6.84 | (1) ! [v0: $i] : (v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) | ~ $i(v0) |
% 37.34/6.84 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v2 = v1 | ~
% 37.34/6.84 | (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ $i(v2) |
% 37.34/6.84 | ~ $i(v1) | ? [v5: any] : ? [v6: any] : ? [v7: $i] : ? [v8: $i]
% 37.34/6.84 | : (sdtasdt0(v2, v0) = v8 & sdtasdt0(v1, v0) = v7 &
% 37.34/6.84 | aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 & $i(v8) &
% 37.34/6.84 | $i(v7) & ( ~ (v6 = 0) | ~ (v5 = 0) | ( ~ (v8 = v7) & ~ (v4 =
% 37.34/6.84 | v3))))))
% 37.34/6.84 |
% 37.34/6.84 | ALPHA: (mDefPrime) implies:
% 37.34/6.84 | (2) ! [v0: $i] : ! [v1: any] : ( ~ (isPrime0(v0) = v1) | ~ $i(v0) | ?
% 37.34/6.84 | [v2: int] : ( ~ (v2 = 0) & aNaturalNumber0(v0) = v2) | (( ~ (v1 = 0)
% 37.34/6.84 | | ( ~ (v0 = sz10) & ~ (v0 = sz00) & ! [v2: $i] : (v2 = v0 | v2
% 37.34/6.84 | = sz10 | ~ (doDivides0(v2, v0) = 0) | ~ $i(v2) | ? [v3:
% 37.34/6.84 | int] : ( ~ (v3 = 0) & aNaturalNumber0(v2) = v3)))) & (v1 =
% 37.34/6.84 | 0 | v0 = sz10 | v0 = sz00 | ? [v2: $i] : ( ~ (v2 = v0) & ~ (v2
% 37.34/6.84 | = sz10) & doDivides0(v2, v0) = 0 & aNaturalNumber0(v2) = 0 &
% 37.34/6.84 | $i(v2)))))
% 37.34/6.84 |
% 37.34/6.84 | ALPHA: (mPrimDiv) implies:
% 37.34/6.84 | (3) ! [v0: $i] : (v0 = sz10 | v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) |
% 37.34/6.84 | ~ $i(v0) | ? [v1: $i] : (isPrime0(v1) = 0 & doDivides0(v1, v0) = 0 &
% 37.34/6.84 | aNaturalNumber0(v1) = 0 & $i(v1)))
% 37.34/6.84 |
% 37.34/6.84 | ALPHA: (m__1837) implies:
% 37.34/6.85 | (4) aNaturalNumber0(xn) = 0
% 37.34/6.85 | (5) aNaturalNumber0(xm) = 0
% 37.34/6.85 | (6) aNaturalNumber0(xp) = 0
% 37.34/6.85 |
% 37.34/6.85 | ALPHA: (m__1799) implies:
% 37.34/6.85 | (7) ? [v0: $i] : ? [v1: $i] : (sdtpldt0(v0, xp) = v1 & sdtpldt0(xn, xm) =
% 37.34/6.85 | v0 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 37.34/6.85 | [v5: $i] : ( ~ (doDivides0(v4, v5) = 0) | ~ (sdtasdt0(v2, v3) = v5)
% 37.34/6.85 | | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ? [v6: any] : ? [v7: any] :
% 37.34/6.85 | ? [v8: any] : ? [v9: any] : ? [v10: $i] : ? [v11: $i] : ?
% 37.34/6.85 | [v12: any] : ? [v13: any] : ? [v14: any] : (isPrime0(v4) = v9 &
% 37.34/6.85 | doDivides0(v4, v3) = v14 & doDivides0(v4, v2) = v13 & iLess0(v11,
% 37.34/6.85 | v1) = v12 & sdtpldt0(v10, v4) = v11 & sdtpldt0(v2, v3) = v10 &
% 37.34/6.85 | aNaturalNumber0(v4) = v8 & aNaturalNumber0(v3) = v7 &
% 37.34/6.85 | aNaturalNumber0(v2) = v6 & $i(v11) & $i(v10) & ( ~ (v12 = 0) | ~
% 37.34/6.85 | (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v14 = 0 |
% 37.34/6.85 | v13 = 0))))
% 37.34/6.85 |
% 37.34/6.85 | ALPHA: (m__1860) implies:
% 37.34/6.85 | (8) ? [v0: $i] : (isPrime0(xp) = 0 & doDivides0(xp, v0) = 0 & sdtasdt0(xn,
% 37.34/6.85 | xm) = v0 & $i(v0))
% 37.34/6.85 |
% 37.34/6.85 | ALPHA: (m__1870) implies:
% 37.34/6.85 | (9) sdtlseqdt0(xp, xn) = 0
% 37.34/6.85 |
% 37.34/6.85 | ALPHA: (m__1883) implies:
% 37.34/6.85 | (10) sdtmndt0(xn, xp) = xr
% 37.34/6.85 |
% 37.34/6.85 | ALPHA: (m__1894) implies:
% 37.34/6.85 | (11) ~ (xr = xn)
% 37.34/6.85 | (12) sdtlseqdt0(xr, xn) = 0
% 37.34/6.85 |
% 37.34/6.85 | ALPHA: (m__1913) implies:
% 37.34/6.85 | (13) ? [v0: $i] : (doDivides0(xp, v0) = 0 & sdtasdt0(xr, xm) = v0 &
% 37.34/6.85 | $i(v0))
% 37.34/6.85 |
% 37.34/6.85 | ALPHA: (m__2062) implies:
% 37.34/6.85 | (14) $i(xn)
% 37.34/6.85 | (15) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ( ~ (v3 = v1)
% 37.34/6.85 | & sdtlseqdt0(v1, v3) = 0 & sdtpldt0(v2, xp) = v3 & sdtpldt0(v0, xp)
% 37.34/6.85 | = v1 & sdtpldt0(xr, xm) = v0 & sdtpldt0(xn, xm) = v2 & $i(v3) &
% 37.34/6.85 | $i(v2) & $i(v1) & $i(v0))
% 37.34/6.85 |
% 37.34/6.85 | ALPHA: (m__) implies:
% 37.34/6.85 | (16) $i(xm)
% 37.34/6.85 | (17) $i(xp)
% 37.34/6.85 | (18) $i(xr)
% 37.34/6.85 | (19) ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~ (v0 = 0) &
% 37.34/6.85 | doDivides0(xp, xr) = v0 & doDivides0(xp, xm) = v1)
% 37.34/6.85 |
% 37.34/6.85 | ALPHA: (function-axioms) implies:
% 37.34/6.85 | (20) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 37.34/6.85 | : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) =
% 37.34/6.85 | v0))
% 37.34/6.85 | (21) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 37.34/6.85 | : (v1 = v0 | ~ (isPrime0(v2) = v1) | ~ (isPrime0(v2) = v0))
% 37.34/6.85 | (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 37.34/6.85 | (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0))
% 37.34/6.86 | (23) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 37.34/6.86 | : ! [v3: $i] : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~
% 37.34/6.86 | (sdtlseqdt0(v3, v2) = v0))
% 37.34/6.86 | (24) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 37.34/6.86 | : ! [v3: $i] : (v1 = v0 | ~ (doDivides0(v3, v2) = v1) | ~
% 37.34/6.86 | (doDivides0(v3, v2) = v0))
% 37.34/6.86 |
% 37.34/6.86 | DELTA: instantiating (13) with fresh symbol all_38_0 gives:
% 37.34/6.86 | (25) doDivides0(xp, all_38_0) = 0 & sdtasdt0(xr, xm) = all_38_0 &
% 37.34/6.86 | $i(all_38_0)
% 37.34/6.86 |
% 37.34/6.86 | ALPHA: (25) implies:
% 37.34/6.86 | (26) $i(all_38_0)
% 37.34/6.86 | (27) sdtasdt0(xr, xm) = all_38_0
% 37.34/6.86 | (28) doDivides0(xp, all_38_0) = 0
% 37.34/6.86 |
% 37.34/6.86 | DELTA: instantiating (8) with fresh symbol all_40_0 gives:
% 37.34/6.86 | (29) isPrime0(xp) = 0 & doDivides0(xp, all_40_0) = 0 & sdtasdt0(xn, xm) =
% 37.34/6.86 | all_40_0 & $i(all_40_0)
% 37.34/6.86 |
% 37.34/6.86 | ALPHA: (29) implies:
% 37.34/6.86 | (30) $i(all_40_0)
% 37.34/6.86 | (31) sdtasdt0(xn, xm) = all_40_0
% 37.34/6.86 | (32) doDivides0(xp, all_40_0) = 0
% 37.34/6.86 | (33) isPrime0(xp) = 0
% 37.34/6.86 |
% 37.34/6.86 | DELTA: instantiating (19) with fresh symbols all_42_0, all_42_1 gives:
% 37.34/6.86 | (34) ~ (all_42_0 = 0) & ~ (all_42_1 = 0) & doDivides0(xp, xr) = all_42_1
% 37.34/6.86 | & doDivides0(xp, xm) = all_42_0
% 37.34/6.86 |
% 37.34/6.86 | ALPHA: (34) implies:
% 37.34/6.86 | (35) ~ (all_42_1 = 0)
% 37.34/6.86 | (36) ~ (all_42_0 = 0)
% 37.34/6.86 | (37) doDivides0(xp, xm) = all_42_0
% 37.34/6.86 | (38) doDivides0(xp, xr) = all_42_1
% 37.34/6.86 |
% 37.34/6.86 | DELTA: instantiating (15) with fresh symbols all_44_0, all_44_1, all_44_2,
% 37.34/6.86 | all_44_3 gives:
% 37.34/6.86 | (39) ~ (all_44_0 = all_44_2) & sdtlseqdt0(all_44_2, all_44_0) = 0 &
% 37.34/6.86 | sdtpldt0(all_44_1, xp) = all_44_0 & sdtpldt0(all_44_3, xp) = all_44_2
% 37.34/6.86 | & sdtpldt0(xr, xm) = all_44_3 & sdtpldt0(xn, xm) = all_44_1 &
% 37.34/6.86 | $i(all_44_0) & $i(all_44_1) & $i(all_44_2) & $i(all_44_3)
% 37.34/6.86 |
% 37.34/6.86 | ALPHA: (39) implies:
% 37.34/6.86 | (40) ~ (all_44_0 = all_44_2)
% 37.34/6.86 | (41) $i(all_44_3)
% 37.34/6.86 | (42) $i(all_44_2)
% 37.34/6.86 | (43) sdtpldt0(xn, xm) = all_44_1
% 37.34/6.86 | (44) sdtpldt0(xr, xm) = all_44_3
% 37.34/6.86 | (45) sdtpldt0(all_44_3, xp) = all_44_2
% 37.34/6.86 | (46) sdtpldt0(all_44_1, xp) = all_44_0
% 37.34/6.86 | (47) sdtlseqdt0(all_44_2, all_44_0) = 0
% 37.34/6.86 |
% 37.34/6.86 | DELTA: instantiating (7) with fresh symbols all_46_0, all_46_1 gives:
% 37.34/6.86 | (48) sdtpldt0(all_46_1, xp) = all_46_0 & sdtpldt0(xn, xm) = all_46_1 &
% 37.34/6.86 | $i(all_46_0) & $i(all_46_1) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 37.34/6.86 | : ! [v3: $i] : ( ~ (doDivides0(v2, v3) = 0) | ~ (sdtasdt0(v0, v1) =
% 37.34/6.86 | v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5:
% 37.34/6.86 | any] : ? [v6: any] : ? [v7: any] : ? [v8: $i] : ? [v9: $i] :
% 37.34/6.86 | ? [v10: any] : ? [v11: any] : ? [v12: any] : (isPrime0(v2) = v7 &
% 37.34/6.86 | doDivides0(v2, v1) = v12 & doDivides0(v2, v0) = v11 & iLess0(v9,
% 37.34/6.86 | all_46_0) = v10 & sdtpldt0(v8, v2) = v9 & sdtpldt0(v0, v1) = v8
% 37.34/6.87 | & aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 &
% 37.34/6.87 | aNaturalNumber0(v0) = v4 & $i(v9) & $i(v8) & ( ~ (v10 = 0) | ~
% 37.34/6.87 | (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | v12 = 0 |
% 37.34/6.87 | v11 = 0)))
% 37.34/6.87 |
% 37.34/6.87 | ALPHA: (48) implies:
% 37.34/6.87 | (49) $i(all_46_1)
% 37.34/6.87 | (50) $i(all_46_0)
% 37.34/6.87 | (51) sdtpldt0(xn, xm) = all_46_1
% 37.34/6.87 | (52) sdtpldt0(all_46_1, xp) = all_46_0
% 37.34/6.87 | (53) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 37.34/6.87 | (doDivides0(v2, v3) = 0) | ~ (sdtasdt0(v0, v1) = v3) | ~ $i(v2) |
% 37.34/6.87 | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: any] :
% 37.34/6.87 | ? [v7: any] : ? [v8: $i] : ? [v9: $i] : ? [v10: any] : ? [v11:
% 37.34/6.87 | any] : ? [v12: any] : (isPrime0(v2) = v7 & doDivides0(v2, v1) =
% 37.34/6.87 | v12 & doDivides0(v2, v0) = v11 & iLess0(v9, all_46_0) = v10 &
% 37.34/6.87 | sdtpldt0(v8, v2) = v9 & sdtpldt0(v0, v1) = v8 &
% 37.34/6.87 | aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 &
% 37.34/6.87 | aNaturalNumber0(v0) = v4 & $i(v9) & $i(v8) & ( ~ (v10 = 0) | ~
% 37.34/6.87 | (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | v12 = 0 |
% 37.34/6.87 | v11 = 0)))
% 37.34/6.87 |
% 37.34/6.87 | GROUND_INST: instantiating (22) with all_44_1, all_46_1, xm, xn, simplifying
% 37.34/6.87 | with (43), (51) gives:
% 37.34/6.87 | (54) all_46_1 = all_44_1
% 37.34/6.87 |
% 37.34/6.87 | REDUCE: (52), (54) imply:
% 37.34/6.87 | (55) sdtpldt0(all_44_1, xp) = all_46_0
% 37.34/6.87 |
% 37.34/6.87 | REDUCE: (49), (54) imply:
% 37.34/6.87 | (56) $i(all_44_1)
% 37.34/6.87 |
% 37.34/6.87 | GROUND_INST: instantiating (22) with all_44_0, all_46_0, xp, all_44_1,
% 37.34/6.87 | simplifying with (46), (55) gives:
% 37.34/6.87 | (57) all_46_0 = all_44_0
% 37.34/6.87 |
% 37.34/6.87 | REDUCE: (50), (57) imply:
% 37.34/6.87 | (58) $i(all_44_0)
% 37.34/6.87 |
% 37.34/6.87 | GROUND_INST: instantiating (3) with xp, simplifying with (6), (17) gives:
% 37.34/6.87 | (59) xp = sz10 | xp = sz00 | ? [v0: $i] : (isPrime0(v0) = 0 &
% 37.34/6.87 | doDivides0(v0, xp) = 0 & aNaturalNumber0(v0) = 0 & $i(v0))
% 37.34/6.87 |
% 37.34/6.87 | GROUND_INST: instantiating (mAddComm) with xn, xm, all_44_1, simplifying with
% 37.34/6.87 | (14), (16), (43) gives:
% 37.34/6.87 | (60) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtpldt0(xm, xn) = v2 &
% 37.34/6.87 | aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & $i(v2) & ( ~
% 37.34/6.87 | (v1 = 0) | ~ (v0 = 0) | v2 = all_44_1))
% 37.34/6.87 |
% 37.34/6.87 | GROUND_INST: instantiating (mSortsB) with xn, xm, all_44_1, simplifying with
% 37.34/6.87 | (14), (16), (43) gives:
% 37.34/6.87 | (61) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 37.34/6.87 | (aNaturalNumber0(all_44_1) = v2 & aNaturalNumber0(xm) = v1 &
% 37.34/6.87 | aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 37.34/6.87 |
% 37.34/6.87 | GROUND_INST: instantiating (mAddComm) with xr, xm, all_44_3, simplifying with
% 37.34/6.87 | (16), (18), (44) gives:
% 37.34/6.87 | (62) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtpldt0(xm, xr) = v2 &
% 37.34/6.87 | aNaturalNumber0(xr) = v0 & aNaturalNumber0(xm) = v1 & $i(v2) & ( ~
% 37.34/6.87 | (v1 = 0) | ~ (v0 = 0) | v2 = all_44_3))
% 37.34/6.87 |
% 37.34/6.87 | GROUND_INST: instantiating (mSortsB) with xr, xm, all_44_3, simplifying with
% 37.34/6.87 | (16), (18), (44) gives:
% 37.34/6.87 | (63) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 37.34/6.88 | (aNaturalNumber0(all_44_3) = v2 & aNaturalNumber0(xr) = v0 &
% 37.34/6.88 | aNaturalNumber0(xm) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 37.34/6.88 |
% 37.34/6.88 | GROUND_INST: instantiating (mAddAsso) with xr, xm, xp, all_44_3, all_44_2,
% 37.34/6.88 | simplifying with (16), (17), (18), (44), (45) gives:
% 37.34/6.88 | (64) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4: $i]
% 37.34/6.88 | : (sdtpldt0(xr, v3) = v4 & sdtpldt0(xm, xp) = v3 & aNaturalNumber0(xr)
% 37.34/6.88 | = v0 & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = v1 & $i(v4)
% 37.34/6.88 | & $i(v3) & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 =
% 37.34/6.88 | all_44_2))
% 37.34/6.88 |
% 37.34/6.88 | GROUND_INST: instantiating (mAddComm) with all_44_3, xp, all_44_2, simplifying
% 37.34/6.88 | with (17), (41), (45) gives:
% 37.34/6.88 | (65) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtpldt0(xp, all_44_3) =
% 37.34/6.88 | v2 & aNaturalNumber0(all_44_3) = v0 & aNaturalNumber0(xp) = v1 &
% 37.34/6.88 | $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_44_2))
% 37.34/6.88 |
% 37.34/6.88 | GROUND_INST: instantiating (mSortsB) with all_44_3, xp, all_44_2, simplifying
% 37.34/6.88 | with (17), (41), (45) gives:
% 37.34/6.88 | (66) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 37.34/6.88 | (aNaturalNumber0(all_44_2) = v2 & aNaturalNumber0(all_44_3) = v0 &
% 37.34/6.88 | aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 37.34/6.88 |
% 37.34/6.88 | GROUND_INST: instantiating (mAddAsso) with xn, xm, xp, all_44_1, all_44_0,
% 37.34/6.88 | simplifying with (14), (16), (17), (43), (46) gives:
% 37.34/6.88 | (67) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4: $i]
% 37.34/6.88 | : (sdtpldt0(xm, xp) = v3 & sdtpldt0(xn, v3) = v4 & aNaturalNumber0(xp)
% 37.34/6.88 | = v2 & aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & $i(v4)
% 37.34/6.88 | & $i(v3) & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 =
% 37.34/6.88 | all_44_0))
% 37.34/6.88 |
% 37.34/6.88 | GROUND_INST: instantiating (mAddComm) with all_44_1, xp, all_44_0, simplifying
% 37.34/6.88 | with (17), (46), (56) gives:
% 37.34/6.88 | (68) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtpldt0(xp, all_44_1) =
% 37.34/6.88 | v2 & aNaturalNumber0(all_44_1) = v0 & aNaturalNumber0(xp) = v1 &
% 37.34/6.88 | $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_44_0))
% 37.34/6.88 |
% 37.34/6.88 | GROUND_INST: instantiating (mSortsB) with all_44_1, xp, all_44_0, simplifying
% 37.34/6.88 | with (17), (46), (56) gives:
% 37.34/6.88 | (69) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 37.34/6.88 | (aNaturalNumber0(all_44_0) = v2 & aNaturalNumber0(all_44_1) = v0 &
% 37.34/6.88 | aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 37.34/6.88 |
% 37.34/6.88 | GROUND_INST: instantiating (mMulComm) with xn, xm, all_40_0, simplifying with
% 37.34/6.88 | (14), (16), (31) gives:
% 37.34/6.88 | (70) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtasdt0(xm, xn) = v2 &
% 37.34/6.88 | aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & $i(v2) & ( ~
% 37.34/6.88 | (v1 = 0) | ~ (v0 = 0) | v2 = all_40_0))
% 37.34/6.88 |
% 37.34/6.88 | GROUND_INST: instantiating (mSortsB_02) with xn, xm, all_40_0, simplifying
% 37.34/6.88 | with (14), (16), (31) gives:
% 37.34/6.88 | (71) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 37.34/6.88 | (aNaturalNumber0(all_40_0) = v2 & aNaturalNumber0(xm) = v1 &
% 37.34/6.88 | aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 37.34/6.88 |
% 37.34/6.88 | GROUND_INST: instantiating (mMulComm) with xr, xm, all_38_0, simplifying with
% 37.34/6.88 | (16), (18), (27) gives:
% 37.34/6.88 | (72) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtasdt0(xm, xr) = v2 &
% 37.34/6.88 | aNaturalNumber0(xr) = v0 & aNaturalNumber0(xm) = v1 & $i(v2) & ( ~
% 37.34/6.88 | (v1 = 0) | ~ (v0 = 0) | v2 = all_38_0))
% 37.34/6.88 |
% 37.34/6.88 | GROUND_INST: instantiating (mSortsB_02) with xr, xm, all_38_0, simplifying
% 37.34/6.88 | with (16), (18), (27) gives:
% 37.34/6.88 | (73) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 37.34/6.88 | (aNaturalNumber0(all_38_0) = v2 & aNaturalNumber0(xr) = v0 &
% 37.34/6.88 | aNaturalNumber0(xm) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 37.34/6.88 |
% 37.34/6.88 | GROUND_INST: instantiating (mDefLE) with xp, xn, 0, simplifying with (9),
% 37.34/6.88 | (14), (17) gives:
% 37.34/6.89 | (74) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xp) = v0 &
% 37.34/6.89 | aNaturalNumber0(xn) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))) | ? [v0:
% 37.34/6.89 | $i] : (sdtpldt0(xp, v0) = xn & aNaturalNumber0(v0) = 0 & $i(v0))
% 37.34/6.89 |
% 37.34/6.89 | GROUND_INST: instantiating (mLEAsym) with xr, xn, simplifying with (12), (14),
% 37.34/6.89 | (18) gives:
% 37.34/6.89 | (75) xr = xn | ? [v0: any] : ? [v1: any] : ? [v2: any] : (sdtlseqdt0(xn,
% 37.34/6.89 | xr) = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xn) = v1 & (
% 37.34/6.89 | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 37.34/6.89 |
% 37.34/6.89 | GROUND_INST: instantiating (mLEAsym) with all_44_2, all_44_0, simplifying with
% 37.34/6.89 | (42), (47), (58) gives:
% 37.34/6.89 | (76) all_44_0 = all_44_2 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 37.34/6.89 | (sdtlseqdt0(all_44_0, all_44_2) = v2 & aNaturalNumber0(all_44_0) = v1
% 37.34/6.89 | & aNaturalNumber0(all_44_2) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 37.34/6.89 | (v0 = 0)))
% 37.34/6.89 |
% 37.34/6.89 | GROUND_INST: instantiating (mDefDiff) with xp, xn, xr, simplifying with (10),
% 37.34/6.89 | (14), (17) gives:
% 37.34/6.89 | (77) ? [v0: any] : ? [v1: any] : ? [v2: any] : (sdtlseqdt0(xp, xn) = v2
% 37.34/6.89 | & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0)
% 37.34/6.89 | | ~ (v1 = 0) | ~ (v0 = 0))) | ( ! [v0: $i] : (v0 = xr | ~
% 37.34/6.89 | (sdtpldt0(xp, v0) = xn) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0)
% 37.34/6.89 | & aNaturalNumber0(v0) = v1)) & ! [v0: $i] : ( ~ (sdtpldt0(xp,
% 37.34/6.89 | xr) = v0) | ~ $i(xr) | (v0 = xn & aNaturalNumber0(xr) = 0)))
% 37.34/6.89 |
% 37.34/6.89 | GROUND_INST: instantiating (mDivTrans) with xp, all_38_0, xr, all_42_1,
% 37.34/6.89 | simplifying with (17), (18), (26), (28), (38) gives:
% 37.34/6.89 | (78) all_42_1 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3:
% 37.34/6.89 | any] : (doDivides0(all_38_0, xr) = v3 & aNaturalNumber0(all_38_0) =
% 37.34/6.89 | v1 & aNaturalNumber0(xr) = v2 & aNaturalNumber0(xp) = v0 & ( ~ (v3 =
% 37.34/6.89 | 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 37.34/6.89 |
% 37.34/6.89 | GROUND_INST: instantiating (mDivTrans) with xp, all_38_0, xm, all_42_0,
% 37.34/6.89 | simplifying with (16), (17), (26), (28), (37) gives:
% 37.34/6.89 | (79) all_42_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3:
% 37.34/6.89 | any] : (doDivides0(all_38_0, xm) = v3 & aNaturalNumber0(all_38_0) =
% 37.34/6.89 | v1 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v2 & ( ~ (v3 =
% 37.34/6.89 | 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 37.34/6.89 |
% 37.34/6.89 | GROUND_INST: instantiating (53) with xr, xm, xp, all_38_0, simplifying with
% 37.34/6.89 | (16), (17), (18), (27), (28) gives:
% 37.34/6.89 | (80) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4:
% 37.34/6.89 | $i] : ? [v5: $i] : ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 37.34/6.89 | (isPrime0(xp) = v3 & doDivides0(xp, xr) = v7 & doDivides0(xp, xm) = v8
% 37.34/6.89 | & iLess0(v5, all_46_0) = v6 & sdtpldt0(v4, xp) = v5 & sdtpldt0(xr,
% 37.34/6.89 | xm) = v4 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xp) = v2 &
% 37.34/6.89 | aNaturalNumber0(xm) = v1 & $i(v5) & $i(v4) & ( ~ (v6 = 0) | ~ (v3 =
% 37.34/6.89 | 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v8 = 0 | v7 = 0))
% 37.34/6.89 |
% 37.34/6.89 | GROUND_INST: instantiating (mDivTrans) with xp, all_40_0, xr, all_42_1,
% 37.34/6.89 | simplifying with (17), (18), (30), (32), (38) gives:
% 37.34/6.89 | (81) all_42_1 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3:
% 37.34/6.89 | any] : (doDivides0(all_40_0, xr) = v3 & aNaturalNumber0(all_40_0) =
% 37.34/6.89 | v1 & aNaturalNumber0(xr) = v2 & aNaturalNumber0(xp) = v0 & ( ~ (v3 =
% 37.34/6.89 | 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 37.34/6.89 |
% 37.34/6.89 | GROUND_INST: instantiating (mDivTrans) with xp, all_40_0, xm, all_42_0,
% 37.34/6.89 | simplifying with (16), (17), (30), (32), (37) gives:
% 37.34/6.89 | (82) all_42_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3:
% 37.34/6.89 | any] : (doDivides0(all_40_0, xm) = v3 & aNaturalNumber0(all_40_0) =
% 37.34/6.89 | v1 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v2 & ( ~ (v3 =
% 37.34/6.89 | 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 37.34/6.89 |
% 37.34/6.89 | GROUND_INST: instantiating (53) with xn, xm, xp, all_40_0, simplifying with
% 37.34/6.89 | (14), (16), (17), (31), (32) gives:
% 37.34/6.89 | (83) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4:
% 37.34/6.89 | $i] : ? [v5: $i] : ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 37.34/6.89 | (isPrime0(xp) = v3 & doDivides0(xp, xm) = v8 & doDivides0(xp, xn) = v7
% 37.34/6.89 | & iLess0(v5, all_46_0) = v6 & sdtpldt0(v4, xp) = v5 & sdtpldt0(xn,
% 37.34/6.89 | xm) = v4 & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = v1 &
% 37.34/6.89 | aNaturalNumber0(xn) = v0 & $i(v5) & $i(v4) & ( ~ (v6 = 0) | ~ (v3 =
% 37.34/6.89 | 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v8 = 0 | v7 = 0))
% 37.34/6.89 |
% 37.34/6.90 | GROUND_INST: instantiating (mDefDiv) with xp, all_40_0, 0, simplifying with
% 37.34/6.90 | (17), (30), (32) gives:
% 37.34/6.90 | (84) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(all_40_0) = v1 &
% 37.34/6.90 | aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | ? [v0:
% 37.34/6.90 | $i] : (sdtasdt0(xp, v0) = all_40_0 & aNaturalNumber0(v0) = 0 &
% 37.34/6.90 | $i(v0))
% 37.34/6.90 |
% 37.34/6.90 | GROUND_INST: instantiating (2) with xp, 0, simplifying with (17), (33) gives:
% 37.34/6.90 | (85) ? [v0: int] : ( ~ (v0 = 0) & aNaturalNumber0(xp) = v0) | ( ~ (xp =
% 37.34/6.90 | sz10) & ~ (xp = sz00) & ! [v0: $i] : (v0 = xp | v0 = sz10 | ~
% 37.34/6.90 | (doDivides0(v0, xp) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0)
% 37.34/6.90 | & aNaturalNumber0(v0) = v1)))
% 37.34/6.90 |
% 37.34/6.90 | DELTA: instantiating (73) with fresh symbols all_62_0, all_62_1, all_62_2
% 37.34/6.90 | gives:
% 37.34/6.90 | (86) aNaturalNumber0(all_38_0) = all_62_0 & aNaturalNumber0(xr) = all_62_2
% 37.34/6.90 | & aNaturalNumber0(xm) = all_62_1 & ( ~ (all_62_1 = 0) | ~ (all_62_2 =
% 37.34/6.90 | 0) | all_62_0 = 0)
% 37.34/6.90 |
% 37.34/6.90 | ALPHA: (86) implies:
% 37.34/6.90 | (87) aNaturalNumber0(xm) = all_62_1
% 37.34/6.90 | (88) aNaturalNumber0(xr) = all_62_2
% 37.34/6.90 |
% 37.34/6.90 | DELTA: instantiating (71) with fresh symbols all_64_0, all_64_1, all_64_2
% 37.34/6.90 | gives:
% 37.34/6.90 | (89) aNaturalNumber0(all_40_0) = all_64_0 & aNaturalNumber0(xm) = all_64_1
% 37.34/6.90 | & aNaturalNumber0(xn) = all_64_2 & ( ~ (all_64_1 = 0) | ~ (all_64_2 =
% 37.34/6.90 | 0) | all_64_0 = 0)
% 37.34/6.90 |
% 37.34/6.90 | ALPHA: (89) implies:
% 37.34/6.90 | (90) aNaturalNumber0(xn) = all_64_2
% 37.34/6.90 | (91) aNaturalNumber0(xm) = all_64_1
% 37.34/6.90 | (92) aNaturalNumber0(all_40_0) = all_64_0
% 37.34/6.90 | (93) ~ (all_64_1 = 0) | ~ (all_64_2 = 0) | all_64_0 = 0
% 37.34/6.90 |
% 37.34/6.90 | DELTA: instantiating (69) with fresh symbols all_66_0, all_66_1, all_66_2
% 37.34/6.90 | gives:
% 37.34/6.90 | (94) aNaturalNumber0(all_44_0) = all_66_0 & aNaturalNumber0(all_44_1) =
% 37.34/6.90 | all_66_2 & aNaturalNumber0(xp) = all_66_1 & ( ~ (all_66_1 = 0) | ~
% 37.34/6.90 | (all_66_2 = 0) | all_66_0 = 0)
% 37.34/6.90 |
% 37.34/6.90 | ALPHA: (94) implies:
% 37.34/6.90 | (95) aNaturalNumber0(xp) = all_66_1
% 37.34/6.90 | (96) aNaturalNumber0(all_44_1) = all_66_2
% 37.34/6.90 | (97) aNaturalNumber0(all_44_0) = all_66_0
% 37.34/6.90 | (98) ~ (all_66_1 = 0) | ~ (all_66_2 = 0) | all_66_0 = 0
% 37.34/6.90 |
% 37.34/6.90 | DELTA: instantiating (66) with fresh symbols all_68_0, all_68_1, all_68_2
% 37.34/6.90 | gives:
% 37.34/6.90 | (99) aNaturalNumber0(all_44_2) = all_68_0 & aNaturalNumber0(all_44_3) =
% 37.34/6.90 | all_68_2 & aNaturalNumber0(xp) = all_68_1 & ( ~ (all_68_1 = 0) | ~
% 37.34/6.90 | (all_68_2 = 0) | all_68_0 = 0)
% 37.34/6.90 |
% 37.34/6.90 | ALPHA: (99) implies:
% 37.34/6.90 | (100) aNaturalNumber0(xp) = all_68_1
% 37.34/6.90 |
% 37.34/6.90 | DELTA: instantiating (63) with fresh symbols all_70_0, all_70_1, all_70_2
% 37.34/6.90 | gives:
% 37.34/6.90 | (101) aNaturalNumber0(all_44_3) = all_70_0 & aNaturalNumber0(xr) = all_70_2
% 37.34/6.90 | & aNaturalNumber0(xm) = all_70_1 & ( ~ (all_70_1 = 0) | ~ (all_70_2
% 37.34/6.90 | = 0) | all_70_0 = 0)
% 37.34/6.90 |
% 37.34/6.90 | ALPHA: (101) implies:
% 37.34/6.90 | (102) aNaturalNumber0(xm) = all_70_1
% 37.65/6.90 | (103) aNaturalNumber0(xr) = all_70_2
% 37.65/6.90 |
% 37.65/6.90 | DELTA: instantiating (61) with fresh symbols all_72_0, all_72_1, all_72_2
% 37.65/6.90 | gives:
% 37.65/6.90 | (104) aNaturalNumber0(all_44_1) = all_72_0 & aNaturalNumber0(xm) = all_72_1
% 37.65/6.90 | & aNaturalNumber0(xn) = all_72_2 & ( ~ (all_72_1 = 0) | ~ (all_72_2
% 37.65/6.90 | = 0) | all_72_0 = 0)
% 37.65/6.90 |
% 37.65/6.90 | ALPHA: (104) implies:
% 37.65/6.90 | (105) aNaturalNumber0(xn) = all_72_2
% 37.65/6.90 | (106) aNaturalNumber0(xm) = all_72_1
% 37.65/6.90 | (107) aNaturalNumber0(all_44_1) = all_72_0
% 37.65/6.90 | (108) ~ (all_72_1 = 0) | ~ (all_72_2 = 0) | all_72_0 = 0
% 37.65/6.90 |
% 37.65/6.90 | DELTA: instantiating (62) with fresh symbols all_74_0, all_74_1, all_74_2
% 37.65/6.90 | gives:
% 37.65/6.90 | (109) sdtpldt0(xm, xr) = all_74_0 & aNaturalNumber0(xr) = all_74_2 &
% 37.65/6.90 | aNaturalNumber0(xm) = all_74_1 & $i(all_74_0) & ( ~ (all_74_1 = 0) |
% 37.65/6.90 | ~ (all_74_2 = 0) | all_74_0 = all_44_3)
% 37.65/6.90 |
% 37.65/6.90 | ALPHA: (109) implies:
% 37.65/6.90 | (110) aNaturalNumber0(xm) = all_74_1
% 37.65/6.90 | (111) aNaturalNumber0(xr) = all_74_2
% 37.65/6.90 | (112) sdtpldt0(xm, xr) = all_74_0
% 37.65/6.90 |
% 37.65/6.90 | DELTA: instantiating (65) with fresh symbols all_76_0, all_76_1, all_76_2
% 37.65/6.90 | gives:
% 37.65/6.90 | (113) sdtpldt0(xp, all_44_3) = all_76_0 & aNaturalNumber0(all_44_3) =
% 37.65/6.90 | all_76_2 & aNaturalNumber0(xp) = all_76_1 & $i(all_76_0) & ( ~
% 37.65/6.90 | (all_76_1 = 0) | ~ (all_76_2 = 0) | all_76_0 = all_44_2)
% 37.65/6.90 |
% 37.65/6.90 | ALPHA: (113) implies:
% 37.65/6.90 | (114) aNaturalNumber0(xp) = all_76_1
% 37.65/6.90 | (115) sdtpldt0(xp, all_44_3) = all_76_0
% 37.65/6.90 |
% 37.65/6.90 | DELTA: instantiating (68) with fresh symbols all_78_0, all_78_1, all_78_2
% 37.65/6.90 | gives:
% 37.65/6.90 | (116) sdtpldt0(xp, all_44_1) = all_78_0 & aNaturalNumber0(all_44_1) =
% 37.65/6.90 | all_78_2 & aNaturalNumber0(xp) = all_78_1 & $i(all_78_0) & ( ~
% 37.65/6.90 | (all_78_1 = 0) | ~ (all_78_2 = 0) | all_78_0 = all_44_0)
% 37.65/6.90 |
% 37.65/6.90 | ALPHA: (116) implies:
% 37.65/6.90 | (117) aNaturalNumber0(xp) = all_78_1
% 37.65/6.90 | (118) aNaturalNumber0(all_44_1) = all_78_2
% 37.65/6.90 |
% 37.65/6.90 | DELTA: instantiating (72) with fresh symbols all_80_0, all_80_1, all_80_2
% 37.65/6.90 | gives:
% 37.65/6.90 | (119) sdtasdt0(xm, xr) = all_80_0 & aNaturalNumber0(xr) = all_80_2 &
% 37.65/6.90 | aNaturalNumber0(xm) = all_80_1 & $i(all_80_0) & ( ~ (all_80_1 = 0) |
% 37.65/6.90 | ~ (all_80_2 = 0) | all_80_0 = all_38_0)
% 37.65/6.90 |
% 37.65/6.90 | ALPHA: (119) implies:
% 37.65/6.91 | (120) aNaturalNumber0(xm) = all_80_1
% 37.65/6.91 | (121) aNaturalNumber0(xr) = all_80_2
% 37.65/6.91 | (122) sdtasdt0(xm, xr) = all_80_0
% 37.65/6.91 |
% 37.65/6.91 | DELTA: instantiating (70) with fresh symbols all_82_0, all_82_1, all_82_2
% 37.65/6.91 | gives:
% 37.65/6.91 | (123) sdtasdt0(xm, xn) = all_82_0 & aNaturalNumber0(xm) = all_82_1 &
% 37.65/6.91 | aNaturalNumber0(xn) = all_82_2 & $i(all_82_0) & ( ~ (all_82_1 = 0) |
% 37.65/6.91 | ~ (all_82_2 = 0) | all_82_0 = all_40_0)
% 37.65/6.91 |
% 37.65/6.91 | ALPHA: (123) implies:
% 37.65/6.91 | (124) aNaturalNumber0(xn) = all_82_2
% 37.65/6.91 | (125) aNaturalNumber0(xm) = all_82_1
% 37.65/6.91 | (126) sdtasdt0(xm, xn) = all_82_0
% 37.65/6.91 | (127) ~ (all_82_1 = 0) | ~ (all_82_2 = 0) | all_82_0 = all_40_0
% 37.65/6.91 |
% 37.65/6.91 | DELTA: instantiating (60) with fresh symbols all_84_0, all_84_1, all_84_2
% 37.65/6.91 | gives:
% 37.65/6.91 | (128) sdtpldt0(xm, xn) = all_84_0 & aNaturalNumber0(xm) = all_84_1 &
% 37.65/6.91 | aNaturalNumber0(xn) = all_84_2 & $i(all_84_0) & ( ~ (all_84_1 = 0) |
% 37.65/6.91 | ~ (all_84_2 = 0) | all_84_0 = all_44_1)
% 37.65/6.91 |
% 37.65/6.91 | ALPHA: (128) implies:
% 37.65/6.91 | (129) aNaturalNumber0(xn) = all_84_2
% 37.65/6.91 | (130) aNaturalNumber0(xm) = all_84_1
% 37.65/6.91 | (131) sdtpldt0(xm, xn) = all_84_0
% 37.65/6.91 | (132) ~ (all_84_1 = 0) | ~ (all_84_2 = 0) | all_84_0 = all_44_1
% 37.65/6.91 |
% 37.65/6.91 | DELTA: instantiating (67) with fresh symbols all_86_0, all_86_1, all_86_2,
% 37.65/6.91 | all_86_3, all_86_4 gives:
% 37.65/6.91 | (133) sdtpldt0(xm, xp) = all_86_1 & sdtpldt0(xn, all_86_1) = all_86_0 &
% 37.65/6.91 | aNaturalNumber0(xp) = all_86_2 & aNaturalNumber0(xm) = all_86_3 &
% 37.65/6.91 | aNaturalNumber0(xn) = all_86_4 & $i(all_86_0) & $i(all_86_1) & ( ~
% 37.65/6.91 | (all_86_2 = 0) | ~ (all_86_3 = 0) | ~ (all_86_4 = 0) | all_86_0 =
% 37.65/6.91 | all_44_0)
% 37.65/6.91 |
% 37.65/6.91 | ALPHA: (133) implies:
% 37.65/6.91 | (134) aNaturalNumber0(xn) = all_86_4
% 37.65/6.91 | (135) aNaturalNumber0(xm) = all_86_3
% 37.65/6.91 | (136) aNaturalNumber0(xp) = all_86_2
% 37.65/6.91 | (137) sdtpldt0(xn, all_86_1) = all_86_0
% 37.65/6.91 | (138) sdtpldt0(xm, xp) = all_86_1
% 37.65/6.91 | (139) ~ (all_86_2 = 0) | ~ (all_86_3 = 0) | ~ (all_86_4 = 0) | all_86_0
% 37.65/6.91 | = all_44_0
% 37.65/6.91 |
% 37.65/6.91 | DELTA: instantiating (64) with fresh symbols all_88_0, all_88_1, all_88_2,
% 37.65/6.91 | all_88_3, all_88_4 gives:
% 37.65/6.91 | (140) sdtpldt0(xr, all_88_1) = all_88_0 & sdtpldt0(xm, xp) = all_88_1 &
% 37.65/6.91 | aNaturalNumber0(xr) = all_88_4 & aNaturalNumber0(xp) = all_88_2 &
% 37.65/6.91 | aNaturalNumber0(xm) = all_88_3 & $i(all_88_0) & $i(all_88_1) & ( ~
% 37.65/6.91 | (all_88_2 = 0) | ~ (all_88_3 = 0) | ~ (all_88_4 = 0) | all_88_0 =
% 37.65/6.91 | all_44_2)
% 37.65/6.91 |
% 37.65/6.91 | ALPHA: (140) implies:
% 37.65/6.91 | (141) $i(all_88_1)
% 37.65/6.91 | (142) aNaturalNumber0(xm) = all_88_3
% 37.65/6.91 | (143) aNaturalNumber0(xp) = all_88_2
% 37.65/6.91 | (144) aNaturalNumber0(xr) = all_88_4
% 37.65/6.91 | (145) sdtpldt0(xm, xp) = all_88_1
% 37.65/6.91 | (146) sdtpldt0(xr, all_88_1) = all_88_0
% 37.65/6.91 | (147) ~ (all_88_2 = 0) | ~ (all_88_3 = 0) | ~ (all_88_4 = 0) | all_88_0
% 37.65/6.91 | = all_44_2
% 37.65/6.91 |
% 37.65/6.91 | DELTA: instantiating (83) with fresh symbols all_90_0, all_90_1, all_90_2,
% 37.65/6.91 | all_90_3, all_90_4, all_90_5, all_90_6, all_90_7, all_90_8 gives:
% 37.65/6.91 | (148) isPrime0(xp) = all_90_5 & doDivides0(xp, xm) = all_90_0 &
% 37.65/6.91 | doDivides0(xp, xn) = all_90_1 & iLess0(all_90_3, all_46_0) = all_90_2
% 37.65/6.91 | & sdtpldt0(all_90_4, xp) = all_90_3 & sdtpldt0(xn, xm) = all_90_4 &
% 37.65/6.91 | aNaturalNumber0(xp) = all_90_6 & aNaturalNumber0(xm) = all_90_7 &
% 37.65/6.91 | aNaturalNumber0(xn) = all_90_8 & $i(all_90_3) & $i(all_90_4) & ( ~
% 37.65/6.91 | (all_90_2 = 0) | ~ (all_90_5 = 0) | ~ (all_90_6 = 0) | ~
% 37.65/6.91 | (all_90_7 = 0) | ~ (all_90_8 = 0) | all_90_0 = 0 | all_90_1 = 0)
% 37.65/6.91 |
% 37.65/6.91 | ALPHA: (148) implies:
% 37.65/6.91 | (149) $i(all_90_3)
% 37.65/6.91 | (150) aNaturalNumber0(xn) = all_90_8
% 37.65/6.91 | (151) aNaturalNumber0(xm) = all_90_7
% 37.65/6.91 | (152) aNaturalNumber0(xp) = all_90_6
% 37.65/6.91 | (153) sdtpldt0(xn, xm) = all_90_4
% 37.65/6.91 | (154) sdtpldt0(all_90_4, xp) = all_90_3
% 37.65/6.91 | (155) isPrime0(xp) = all_90_5
% 37.65/6.91 |
% 37.65/6.91 | DELTA: instantiating (80) with fresh symbols all_92_0, all_92_1, all_92_2,
% 37.65/6.91 | all_92_3, all_92_4, all_92_5, all_92_6, all_92_7, all_92_8 gives:
% 37.65/6.91 | (156) isPrime0(xp) = all_92_5 & doDivides0(xp, xr) = all_92_1 &
% 37.65/6.91 | doDivides0(xp, xm) = all_92_0 & iLess0(all_92_3, all_46_0) = all_92_2
% 37.65/6.91 | & sdtpldt0(all_92_4, xp) = all_92_3 & sdtpldt0(xr, xm) = all_92_4 &
% 37.65/6.91 | aNaturalNumber0(xr) = all_92_8 & aNaturalNumber0(xp) = all_92_6 &
% 37.65/6.91 | aNaturalNumber0(xm) = all_92_7 & $i(all_92_3) & $i(all_92_4) & ( ~
% 37.65/6.91 | (all_92_2 = 0) | ~ (all_92_5 = 0) | ~ (all_92_6 = 0) | ~
% 37.65/6.91 | (all_92_7 = 0) | ~ (all_92_8 = 0) | all_92_0 = 0 | all_92_1 = 0)
% 37.65/6.91 |
% 37.65/6.91 | ALPHA: (156) implies:
% 37.65/6.91 | (157) $i(all_92_4)
% 37.65/6.91 | (158) $i(all_92_3)
% 37.65/6.91 | (159) aNaturalNumber0(xm) = all_92_7
% 37.65/6.91 | (160) aNaturalNumber0(xp) = all_92_6
% 37.65/6.91 | (161) aNaturalNumber0(xr) = all_92_8
% 37.65/6.91 | (162) sdtpldt0(xr, xm) = all_92_4
% 37.65/6.91 | (163) sdtpldt0(all_92_4, xp) = all_92_3
% 37.65/6.91 | (164) iLess0(all_92_3, all_46_0) = all_92_2
% 37.65/6.91 | (165) doDivides0(xp, xm) = all_92_0
% 37.65/6.91 | (166) doDivides0(xp, xr) = all_92_1
% 37.65/6.91 | (167) isPrime0(xp) = all_92_5
% 37.65/6.91 | (168) ~ (all_92_2 = 0) | ~ (all_92_5 = 0) | ~ (all_92_6 = 0) | ~
% 37.65/6.91 | (all_92_7 = 0) | ~ (all_92_8 = 0) | all_92_0 = 0 | all_92_1 = 0
% 37.65/6.91 |
% 37.65/6.91 | REDUCE: (57), (164) imply:
% 37.65/6.91 | (169) iLess0(all_92_3, all_44_0) = all_92_2
% 37.65/6.91 |
% 37.65/6.91 | BETA: splitting (81) gives:
% 37.65/6.91 |
% 37.65/6.91 | Case 1:
% 37.65/6.91 | |
% 37.65/6.91 | | (170) all_42_1 = 0
% 37.65/6.91 | |
% 37.65/6.91 | | REDUCE: (35), (170) imply:
% 37.65/6.92 | | (171) $false
% 37.65/6.92 | |
% 37.65/6.92 | | CLOSE: (171) is inconsistent.
% 37.65/6.92 | |
% 37.65/6.92 | Case 2:
% 37.65/6.92 | |
% 37.65/6.92 | | (172) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 37.65/6.92 | | (doDivides0(all_40_0, xr) = v3 & aNaturalNumber0(all_40_0) = v1 &
% 37.65/6.92 | | aNaturalNumber0(xr) = v2 & aNaturalNumber0(xp) = v0 & ( ~ (v3 =
% 37.65/6.92 | | 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 37.65/6.92 | |
% 37.65/6.92 | | DELTA: instantiating (172) with fresh symbols all_102_0, all_102_1,
% 37.65/6.92 | | all_102_2, all_102_3 gives:
% 37.65/6.92 | | (173) doDivides0(all_40_0, xr) = all_102_0 & aNaturalNumber0(all_40_0) =
% 37.65/6.92 | | all_102_2 & aNaturalNumber0(xr) = all_102_1 & aNaturalNumber0(xp) =
% 37.65/6.92 | | all_102_3 & ( ~ (all_102_0 = 0) | ~ (all_102_1 = 0) | ~
% 37.65/6.92 | | (all_102_2 = 0) | ~ (all_102_3 = 0))
% 37.65/6.92 | |
% 37.65/6.92 | | ALPHA: (173) implies:
% 37.65/6.92 | | (174) aNaturalNumber0(xp) = all_102_3
% 37.65/6.92 | | (175) aNaturalNumber0(xr) = all_102_1
% 37.65/6.92 | | (176) aNaturalNumber0(all_40_0) = all_102_2
% 37.65/6.92 | |
% 37.65/6.92 | | BETA: splitting (75) gives:
% 37.65/6.92 | |
% 37.65/6.92 | | Case 1:
% 37.65/6.92 | | |
% 37.65/6.92 | | | (177) xr = xn
% 37.65/6.92 | | |
% 37.65/6.92 | | | REDUCE: (11), (177) imply:
% 37.65/6.92 | | | (178) $false
% 37.65/6.92 | | |
% 37.65/6.92 | | | CLOSE: (178) is inconsistent.
% 37.65/6.92 | | |
% 37.65/6.92 | | Case 2:
% 37.65/6.92 | | |
% 37.65/6.92 | | | (179) ? [v0: any] : ? [v1: any] : ? [v2: any] : (sdtlseqdt0(xn, xr)
% 37.65/6.92 | | | = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xn) = v1 & (
% 37.65/6.92 | | | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 37.65/6.92 | | |
% 37.65/6.92 | | | DELTA: instantiating (179) with fresh symbols all_107_0, all_107_1,
% 37.65/6.92 | | | all_107_2 gives:
% 37.65/6.92 | | | (180) sdtlseqdt0(xn, xr) = all_107_0 & aNaturalNumber0(xr) = all_107_2
% 37.65/6.92 | | | & aNaturalNumber0(xn) = all_107_1 & ( ~ (all_107_0 = 0) | ~
% 37.65/6.92 | | | (all_107_1 = 0) | ~ (all_107_2 = 0))
% 37.65/6.92 | | |
% 37.65/6.92 | | | ALPHA: (180) implies:
% 37.65/6.92 | | | (181) aNaturalNumber0(xn) = all_107_1
% 37.65/6.92 | | | (182) aNaturalNumber0(xr) = all_107_2
% 37.65/6.92 | | |
% 37.65/6.92 | | | BETA: splitting (82) gives:
% 37.65/6.92 | | |
% 37.65/6.92 | | | Case 1:
% 37.65/6.92 | | | |
% 37.65/6.92 | | | | (183) all_42_0 = 0
% 37.65/6.92 | | | |
% 37.65/6.92 | | | | REDUCE: (36), (183) imply:
% 37.65/6.92 | | | | (184) $false
% 37.65/6.92 | | | |
% 37.65/6.92 | | | | CLOSE: (184) is inconsistent.
% 37.65/6.92 | | | |
% 37.65/6.92 | | | Case 2:
% 37.65/6.92 | | | |
% 37.65/6.92 | | | | (185) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 37.65/6.92 | | | | (doDivides0(all_40_0, xm) = v3 & aNaturalNumber0(all_40_0) = v1
% 37.65/6.92 | | | | & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v2 & ( ~
% 37.65/6.92 | | | | (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 37.65/6.92 | | | |
% 37.65/6.92 | | | | DELTA: instantiating (185) with fresh symbols all_112_0, all_112_1,
% 37.65/6.92 | | | | all_112_2, all_112_3 gives:
% 37.65/6.92 | | | | (186) doDivides0(all_40_0, xm) = all_112_0 &
% 37.65/6.92 | | | | aNaturalNumber0(all_40_0) = all_112_2 & aNaturalNumber0(xp) =
% 37.65/6.92 | | | | all_112_3 & aNaturalNumber0(xm) = all_112_1 & ( ~ (all_112_0 =
% 37.65/6.92 | | | | 0) | ~ (all_112_1 = 0) | ~ (all_112_2 = 0) | ~
% 37.65/6.92 | | | | (all_112_3 = 0))
% 37.65/6.92 | | | |
% 37.65/6.92 | | | | ALPHA: (186) implies:
% 37.65/6.92 | | | | (187) aNaturalNumber0(xm) = all_112_1
% 37.65/6.92 | | | | (188) aNaturalNumber0(xp) = all_112_3
% 37.65/6.92 | | | | (189) aNaturalNumber0(all_40_0) = all_112_2
% 37.65/6.92 | | | |
% 37.65/6.92 | | | | BETA: splitting (79) gives:
% 37.65/6.92 | | | |
% 37.65/6.92 | | | | Case 1:
% 37.65/6.92 | | | | |
% 37.65/6.92 | | | | | (190) all_42_0 = 0
% 37.65/6.92 | | | | |
% 37.65/6.92 | | | | | REDUCE: (36), (190) imply:
% 37.65/6.92 | | | | | (191) $false
% 37.65/6.92 | | | | |
% 37.65/6.92 | | | | | CLOSE: (191) is inconsistent.
% 37.65/6.92 | | | | |
% 37.65/6.92 | | | | Case 2:
% 37.65/6.92 | | | | |
% 37.65/6.92 | | | | | (192) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 37.65/6.92 | | | | | (doDivides0(all_38_0, xm) = v3 & aNaturalNumber0(all_38_0) =
% 37.65/6.92 | | | | | v1 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v2 &
% 37.65/6.92 | | | | | ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 37.65/6.92 | | | | |
% 37.65/6.92 | | | | | DELTA: instantiating (192) with fresh symbols all_117_0, all_117_1,
% 37.65/6.92 | | | | | all_117_2, all_117_3 gives:
% 37.65/6.92 | | | | | (193) doDivides0(all_38_0, xm) = all_117_0 &
% 37.65/6.92 | | | | | aNaturalNumber0(all_38_0) = all_117_2 & aNaturalNumber0(xp) =
% 37.65/6.92 | | | | | all_117_3 & aNaturalNumber0(xm) = all_117_1 & ( ~ (all_117_0
% 37.65/6.92 | | | | | = 0) | ~ (all_117_1 = 0) | ~ (all_117_2 = 0) | ~
% 37.65/6.92 | | | | | (all_117_3 = 0))
% 37.65/6.92 | | | | |
% 37.65/6.92 | | | | | ALPHA: (193) implies:
% 37.65/6.92 | | | | | (194) aNaturalNumber0(xm) = all_117_1
% 37.65/6.92 | | | | | (195) aNaturalNumber0(xp) = all_117_3
% 37.65/6.92 | | | | |
% 37.65/6.92 | | | | | BETA: splitting (78) gives:
% 37.65/6.92 | | | | |
% 37.65/6.92 | | | | | Case 1:
% 37.65/6.92 | | | | | |
% 37.65/6.92 | | | | | | (196) all_42_1 = 0
% 37.65/6.92 | | | | | |
% 37.65/6.92 | | | | | | REDUCE: (35), (196) imply:
% 37.65/6.92 | | | | | | (197) $false
% 37.65/6.92 | | | | | |
% 37.65/6.92 | | | | | | CLOSE: (197) is inconsistent.
% 37.65/6.92 | | | | | |
% 37.65/6.92 | | | | | Case 2:
% 37.65/6.92 | | | | | |
% 37.65/6.92 | | | | | | (198) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 37.65/6.92 | | | | | | (doDivides0(all_38_0, xr) = v3 & aNaturalNumber0(all_38_0)
% 37.65/6.92 | | | | | | = v1 & aNaturalNumber0(xr) = v2 & aNaturalNumber0(xp) =
% 37.65/6.92 | | | | | | v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 =
% 37.65/6.92 | | | | | | 0)))
% 37.65/6.92 | | | | | |
% 37.65/6.92 | | | | | | DELTA: instantiating (198) with fresh symbols all_122_0, all_122_1,
% 37.65/6.92 | | | | | | all_122_2, all_122_3 gives:
% 37.65/6.92 | | | | | | (199) doDivides0(all_38_0, xr) = all_122_0 &
% 37.65/6.92 | | | | | | aNaturalNumber0(all_38_0) = all_122_2 & aNaturalNumber0(xr)
% 37.65/6.92 | | | | | | = all_122_1 & aNaturalNumber0(xp) = all_122_3 & ( ~
% 37.65/6.92 | | | | | | (all_122_0 = 0) | ~ (all_122_1 = 0) | ~ (all_122_2 = 0)
% 37.65/6.92 | | | | | | | ~ (all_122_3 = 0))
% 37.65/6.92 | | | | | |
% 37.65/6.92 | | | | | | ALPHA: (199) implies:
% 37.65/6.92 | | | | | | (200) aNaturalNumber0(xp) = all_122_3
% 37.65/6.92 | | | | | | (201) aNaturalNumber0(xr) = all_122_1
% 37.65/6.92 | | | | | |
% 37.65/6.92 | | | | | | BETA: splitting (76) gives:
% 37.65/6.92 | | | | | |
% 37.65/6.92 | | | | | | Case 1:
% 37.65/6.92 | | | | | | |
% 37.65/6.92 | | | | | | | (202) all_44_0 = all_44_2
% 37.65/6.92 | | | | | | |
% 37.65/6.92 | | | | | | | REDUCE: (40), (202) imply:
% 37.65/6.92 | | | | | | | (203) $false
% 37.65/6.92 | | | | | | |
% 37.65/6.92 | | | | | | | CLOSE: (203) is inconsistent.
% 37.65/6.92 | | | | | | |
% 37.65/6.92 | | | | | | Case 2:
% 37.65/6.92 | | | | | | |
% 37.65/6.92 | | | | | | | (204) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 37.65/6.92 | | | | | | | (sdtlseqdt0(all_44_0, all_44_2) = v2 &
% 37.65/6.92 | | | | | | | aNaturalNumber0(all_44_0) = v1 &
% 37.65/6.92 | | | | | | | aNaturalNumber0(all_44_2) = v0 & ( ~ (v2 = 0) | ~ (v1
% 37.65/6.92 | | | | | | | = 0) | ~ (v0 = 0)))
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | DELTA: instantiating (204) with fresh symbols all_127_0,
% 37.65/6.93 | | | | | | | all_127_1, all_127_2 gives:
% 37.65/6.93 | | | | | | | (205) sdtlseqdt0(all_44_0, all_44_2) = all_127_0 &
% 37.65/6.93 | | | | | | | aNaturalNumber0(all_44_0) = all_127_1 &
% 37.65/6.93 | | | | | | | aNaturalNumber0(all_44_2) = all_127_2 & ( ~ (all_127_0 =
% 37.65/6.93 | | | | | | | 0) | ~ (all_127_1 = 0) | ~ (all_127_2 = 0))
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | ALPHA: (205) implies:
% 37.65/6.93 | | | | | | | (206) aNaturalNumber0(all_44_0) = all_127_1
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with 0, all_82_2, xn, simplifying
% 37.65/6.93 | | | | | | | with (4), (124) gives:
% 37.65/6.93 | | | | | | | (207) all_82_2 = 0
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_82_2, all_84_2, xn,
% 37.65/6.93 | | | | | | | simplifying with (124), (129) gives:
% 37.65/6.93 | | | | | | | (208) all_84_2 = all_82_2
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_82_2, all_90_8, xn,
% 37.65/6.93 | | | | | | | simplifying with (124), (150) gives:
% 37.65/6.93 | | | | | | | (209) all_90_8 = all_82_2
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_64_2, all_90_8, xn,
% 37.65/6.93 | | | | | | | simplifying with (90), (150) gives:
% 37.65/6.93 | | | | | | | (210) all_90_8 = all_64_2
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_86_4, all_107_1, xn,
% 37.65/6.93 | | | | | | | simplifying with (134), (181) gives:
% 37.65/6.93 | | | | | | | (211) all_107_1 = all_86_4
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_84_2, all_107_1, xn,
% 37.65/6.93 | | | | | | | simplifying with (129), (181) gives:
% 37.65/6.93 | | | | | | | (212) all_107_1 = all_84_2
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_72_2, all_107_1, xn,
% 37.65/6.93 | | | | | | | simplifying with (105), (181) gives:
% 37.65/6.93 | | | | | | | (213) all_107_1 = all_72_2
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_64_1, all_70_1, xm,
% 37.65/6.93 | | | | | | | simplifying with (91), (102) gives:
% 37.65/6.93 | | | | | | | (214) all_70_1 = all_64_1
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with 0, all_74_1, xm, simplifying
% 37.65/6.93 | | | | | | | with (5), (110) gives:
% 37.65/6.93 | | | | | | | (215) all_74_1 = 0
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_70_1, all_74_1, xm,
% 37.65/6.93 | | | | | | | simplifying with (102), (110) gives:
% 37.65/6.93 | | | | | | | (216) all_74_1 = all_70_1
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_74_1, all_84_1, xm,
% 37.65/6.93 | | | | | | | simplifying with (110), (130) gives:
% 37.65/6.93 | | | | | | | (217) all_84_1 = all_74_1
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_62_1, all_86_3, xm,
% 37.65/6.93 | | | | | | | simplifying with (87), (135) gives:
% 37.65/6.93 | | | | | | | (218) all_86_3 = all_62_1
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_88_3, all_90_7, xm,
% 37.65/6.93 | | | | | | | simplifying with (142), (151) gives:
% 37.65/6.93 | | | | | | | (219) all_90_7 = all_88_3
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_86_3, all_90_7, xm,
% 37.65/6.93 | | | | | | | simplifying with (135), (151) gives:
% 37.65/6.93 | | | | | | | (220) all_90_7 = all_86_3
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_80_1, all_90_7, xm,
% 37.65/6.93 | | | | | | | simplifying with (120), (151) gives:
% 37.65/6.93 | | | | | | | (221) all_90_7 = all_80_1
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_64_1, all_90_7, xm,
% 37.65/6.93 | | | | | | | simplifying with (91), (151) gives:
% 37.65/6.93 | | | | | | | (222) all_90_7 = all_64_1
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_84_1, all_112_1, xm,
% 37.65/6.93 | | | | | | | simplifying with (130), (187) gives:
% 37.65/6.93 | | | | | | | (223) all_112_1 = all_84_1
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_72_1, all_112_1, xm,
% 37.65/6.93 | | | | | | | simplifying with (106), (187) gives:
% 37.65/6.93 | | | | | | | (224) all_112_1 = all_72_1
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_92_7, all_117_1, xm,
% 37.65/6.93 | | | | | | | simplifying with (159), (194) gives:
% 37.65/6.93 | | | | | | | (225) all_117_1 = all_92_7
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_84_1, all_117_1, xm,
% 37.65/6.93 | | | | | | | simplifying with (130), (194) gives:
% 37.65/6.93 | | | | | | | (226) all_117_1 = all_84_1
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_82_1, all_117_1, xm,
% 37.65/6.93 | | | | | | | simplifying with (125), (194) gives:
% 37.65/6.93 | | | | | | | (227) all_117_1 = all_82_1
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_66_1, all_68_1, xp,
% 37.65/6.93 | | | | | | | simplifying with (95), (100) gives:
% 37.65/6.93 | | | | | | | (228) all_68_1 = all_66_1
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_78_1, all_86_2, xp,
% 37.65/6.93 | | | | | | | simplifying with (117), (136) gives:
% 37.65/6.93 | | | | | | | (229) all_86_2 = all_78_1
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_68_1, all_86_2, xp,
% 37.65/6.93 | | | | | | | simplifying with (100), (136) gives:
% 37.65/6.93 | | | | | | | (230) all_86_2 = all_68_1
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_90_6, all_92_6, xp,
% 37.65/6.93 | | | | | | | simplifying with (152), (160) gives:
% 37.65/6.93 | | | | | | | (231) all_92_6 = all_90_6
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_88_2, all_92_6, xp,
% 37.65/6.93 | | | | | | | simplifying with (143), (160) gives:
% 37.65/6.93 | | | | | | | (232) all_92_6 = all_88_2
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_86_2, all_92_6, xp,
% 37.65/6.93 | | | | | | | simplifying with (136), (160) gives:
% 37.65/6.93 | | | | | | | (233) all_92_6 = all_86_2
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with 0, all_112_3, xp, simplifying
% 37.65/6.93 | | | | | | | with (6), (188) gives:
% 37.65/6.93 | | | | | | | (234) all_112_3 = 0
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_102_3, all_112_3, xp,
% 37.65/6.93 | | | | | | | simplifying with (174), (188) gives:
% 37.65/6.93 | | | | | | | (235) all_112_3 = all_102_3
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_78_1, all_112_3, xp,
% 37.65/6.93 | | | | | | | simplifying with (117), (188) gives:
% 37.65/6.93 | | | | | | | (236) all_112_3 = all_78_1
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_92_6, all_117_3, xp,
% 37.65/6.93 | | | | | | | simplifying with (160), (195) gives:
% 37.65/6.93 | | | | | | | (237) all_117_3 = all_92_6
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_117_3, all_122_3, xp,
% 37.65/6.93 | | | | | | | simplifying with (195), (200) gives:
% 37.65/6.93 | | | | | | | (238) all_122_3 = all_117_3
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_76_1, all_122_3, xp,
% 37.65/6.93 | | | | | | | simplifying with (114), (200) gives:
% 37.65/6.93 | | | | | | | (239) all_122_3 = all_76_1
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_70_2, all_80_2, xr,
% 37.65/6.93 | | | | | | | simplifying with (103), (121) gives:
% 37.65/6.93 | | | | | | | (240) all_80_2 = all_70_2
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_88_4, all_92_8, xr,
% 37.65/6.93 | | | | | | | simplifying with (144), (161) gives:
% 37.65/6.93 | | | | | | | (241) all_92_8 = all_88_4
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_92_8, all_102_1, xr,
% 37.65/6.93 | | | | | | | simplifying with (161), (175) gives:
% 37.65/6.93 | | | | | | | (242) all_102_1 = all_92_8
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_62_2, all_102_1, xr,
% 37.65/6.93 | | | | | | | simplifying with (88), (175) gives:
% 37.65/6.93 | | | | | | | (243) all_102_1 = all_62_2
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_88_4, all_107_2, xr,
% 37.65/6.93 | | | | | | | simplifying with (144), (182) gives:
% 37.65/6.93 | | | | | | | (244) all_107_2 = all_88_4
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_80_2, all_107_2, xr,
% 37.65/6.93 | | | | | | | simplifying with (121), (182) gives:
% 37.65/6.93 | | | | | | | (245) all_107_2 = all_80_2
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_107_2, all_122_1, xr,
% 37.65/6.93 | | | | | | | simplifying with (182), (201) gives:
% 37.65/6.93 | | | | | | | (246) all_122_1 = all_107_2
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_74_2, all_122_1, xr,
% 37.65/6.93 | | | | | | | simplifying with (111), (201) gives:
% 37.65/6.93 | | | | | | | (247) all_122_1 = all_74_2
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_102_2, all_112_2,
% 37.65/6.93 | | | | | | | all_40_0, simplifying with (176), (189) gives:
% 37.65/6.93 | | | | | | | (248) all_112_2 = all_102_2
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_64_0, all_112_2,
% 37.65/6.93 | | | | | | | all_40_0, simplifying with (92), (189) gives:
% 37.65/6.93 | | | | | | | (249) all_112_2 = all_64_0
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_72_0, all_78_2, all_44_1,
% 37.65/6.93 | | | | | | | simplifying with (107), (118) gives:
% 37.65/6.93 | | | | | | | (250) all_78_2 = all_72_0
% 37.65/6.93 | | | | | | |
% 37.65/6.93 | | | | | | | GROUND_INST: instantiating (20) with all_66_2, all_78_2, all_44_1,
% 37.65/6.93 | | | | | | | simplifying with (96), (118) gives:
% 37.65/6.94 | | | | | | | (251) all_78_2 = all_66_2
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | GROUND_INST: instantiating (20) with all_66_0, all_127_1,
% 37.65/6.94 | | | | | | | all_44_0, simplifying with (97), (206) gives:
% 37.65/6.94 | | | | | | | (252) all_127_1 = all_66_0
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | GROUND_INST: instantiating (22) with all_44_1, all_90_4, xm, xn,
% 37.65/6.94 | | | | | | | simplifying with (43), (153) gives:
% 37.65/6.94 | | | | | | | (253) all_90_4 = all_44_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | GROUND_INST: instantiating (22) with all_86_1, all_88_1, xp, xm,
% 37.65/6.94 | | | | | | | simplifying with (138), (145) gives:
% 37.65/6.94 | | | | | | | (254) all_88_1 = all_86_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | GROUND_INST: instantiating (22) with all_44_3, all_92_4, xm, xr,
% 37.65/6.94 | | | | | | | simplifying with (44), (162) gives:
% 37.65/6.94 | | | | | | | (255) all_92_4 = all_44_3
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | GROUND_INST: instantiating (24) with all_42_0, all_92_0, xm, xp,
% 37.65/6.94 | | | | | | | simplifying with (37), (165) gives:
% 37.65/6.94 | | | | | | | (256) all_92_0 = all_42_0
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | GROUND_INST: instantiating (24) with all_42_1, all_92_1, xr, xp,
% 37.65/6.94 | | | | | | | simplifying with (38), (166) gives:
% 37.65/6.94 | | | | | | | (257) all_92_1 = all_42_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | GROUND_INST: instantiating (21) with 0, all_92_5, xp, simplifying
% 37.65/6.94 | | | | | | | with (33), (167) gives:
% 37.65/6.94 | | | | | | | (258) all_92_5 = 0
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | GROUND_INST: instantiating (21) with all_90_5, all_92_5, xp,
% 37.65/6.94 | | | | | | | simplifying with (155), (167) gives:
% 37.65/6.94 | | | | | | | (259) all_92_5 = all_90_5
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (246), (247) imply:
% 37.65/6.94 | | | | | | | (260) all_107_2 = all_74_2
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | SIMP: (260) implies:
% 37.65/6.94 | | | | | | | (261) all_107_2 = all_74_2
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (238), (239) imply:
% 37.65/6.94 | | | | | | | (262) all_117_3 = all_76_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | SIMP: (262) implies:
% 37.65/6.94 | | | | | | | (263) all_117_3 = all_76_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (225), (227) imply:
% 37.65/6.94 | | | | | | | (264) all_92_7 = all_82_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (225), (226) imply:
% 37.65/6.94 | | | | | | | (265) all_92_7 = all_84_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (237), (263) imply:
% 37.65/6.94 | | | | | | | (266) all_92_6 = all_76_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | SIMP: (266) implies:
% 37.65/6.94 | | | | | | | (267) all_92_6 = all_76_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (223), (224) imply:
% 37.65/6.94 | | | | | | | (268) all_84_1 = all_72_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | SIMP: (268) implies:
% 37.65/6.94 | | | | | | | (269) all_84_1 = all_72_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (248), (249) imply:
% 37.65/6.94 | | | | | | | (270) all_102_2 = all_64_0
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | SIMP: (270) implies:
% 37.65/6.94 | | | | | | | (271) all_102_2 = all_64_0
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (234), (235) imply:
% 37.65/6.94 | | | | | | | (272) all_102_3 = 0
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (235), (236) imply:
% 37.65/6.94 | | | | | | | (273) all_102_3 = all_78_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (211), (212) imply:
% 37.65/6.94 | | | | | | | (274) all_86_4 = all_84_2
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (211), (213) imply:
% 37.65/6.94 | | | | | | | (275) all_86_4 = all_72_2
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (245), (261) imply:
% 37.65/6.94 | | | | | | | (276) all_80_2 = all_74_2
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | SIMP: (276) implies:
% 37.65/6.94 | | | | | | | (277) all_80_2 = all_74_2
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (244), (261) imply:
% 37.65/6.94 | | | | | | | (278) all_88_4 = all_74_2
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | SIMP: (278) implies:
% 37.65/6.94 | | | | | | | (279) all_88_4 = all_74_2
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (242), (243) imply:
% 37.65/6.94 | | | | | | | (280) all_92_8 = all_62_2
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | SIMP: (280) implies:
% 37.65/6.94 | | | | | | | (281) all_92_8 = all_62_2
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (272), (273) imply:
% 37.65/6.94 | | | | | | | (282) all_78_1 = 0
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | SIMP: (282) implies:
% 37.65/6.94 | | | | | | | (283) all_78_1 = 0
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (258), (259) imply:
% 37.65/6.94 | | | | | | | (284) all_90_5 = 0
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (231), (233) imply:
% 37.65/6.94 | | | | | | | (285) all_90_6 = all_86_2
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (231), (267) imply:
% 37.65/6.94 | | | | | | | (286) all_90_6 = all_76_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (231), (232) imply:
% 37.65/6.94 | | | | | | | (287) all_90_6 = all_88_2
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (264), (265) imply:
% 37.65/6.94 | | | | | | | (288) all_84_1 = all_82_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | SIMP: (288) implies:
% 37.65/6.94 | | | | | | | (289) all_84_1 = all_82_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (241), (281) imply:
% 37.65/6.94 | | | | | | | (290) all_88_4 = all_62_2
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | SIMP: (290) implies:
% 37.65/6.94 | | | | | | | (291) all_88_4 = all_62_2
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (285), (287) imply:
% 37.65/6.94 | | | | | | | (292) all_88_2 = all_86_2
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (286), (287) imply:
% 37.65/6.94 | | | | | | | (293) all_88_2 = all_76_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (219), (221) imply:
% 37.65/6.94 | | | | | | | (294) all_88_3 = all_80_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (219), (222) imply:
% 37.65/6.94 | | | | | | | (295) all_88_3 = all_64_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (219), (220) imply:
% 37.65/6.94 | | | | | | | (296) all_88_3 = all_86_3
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (209), (210) imply:
% 37.65/6.94 | | | | | | | (297) all_82_2 = all_64_2
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | SIMP: (297) implies:
% 37.65/6.94 | | | | | | | (298) all_82_2 = all_64_2
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (292), (293) imply:
% 37.65/6.94 | | | | | | | (299) all_86_2 = all_76_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | SIMP: (299) implies:
% 37.65/6.94 | | | | | | | (300) all_86_2 = all_76_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (294), (295) imply:
% 37.65/6.94 | | | | | | | (301) all_80_1 = all_64_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (294), (296) imply:
% 37.65/6.94 | | | | | | | (302) all_86_3 = all_80_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | SIMP: (302) implies:
% 37.65/6.94 | | | | | | | (303) all_86_3 = all_80_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (279), (291) imply:
% 37.65/6.94 | | | | | | | (304) all_74_2 = all_62_2
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | SIMP: (304) implies:
% 37.65/6.94 | | | | | | | (305) all_74_2 = all_62_2
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (230), (300) imply:
% 37.65/6.94 | | | | | | | (306) all_76_1 = all_68_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (229), (300) imply:
% 37.65/6.94 | | | | | | | (307) all_78_1 = all_76_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | SIMP: (307) implies:
% 37.65/6.94 | | | | | | | (308) all_78_1 = all_76_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (218), (303) imply:
% 37.65/6.94 | | | | | | | (309) all_80_1 = all_62_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | SIMP: (309) implies:
% 37.65/6.94 | | | | | | | (310) all_80_1 = all_62_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (274), (275) imply:
% 37.65/6.94 | | | | | | | (311) all_84_2 = all_72_2
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | SIMP: (311) implies:
% 37.65/6.94 | | | | | | | (312) all_84_2 = all_72_2
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (269), (289) imply:
% 37.65/6.94 | | | | | | | (313) all_82_1 = all_72_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (217), (289) imply:
% 37.65/6.94 | | | | | | | (314) all_82_1 = all_74_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (208), (312) imply:
% 37.65/6.94 | | | | | | | (315) all_82_2 = all_72_2
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | SIMP: (315) implies:
% 37.65/6.94 | | | | | | | (316) all_82_2 = all_72_2
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (313), (314) imply:
% 37.65/6.94 | | | | | | | (317) all_74_1 = all_72_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | SIMP: (317) implies:
% 37.65/6.94 | | | | | | | (318) all_74_1 = all_72_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (207), (316) imply:
% 37.65/6.94 | | | | | | | (319) all_72_2 = 0
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (298), (316) imply:
% 37.65/6.94 | | | | | | | (320) all_72_2 = all_64_2
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (301), (310) imply:
% 37.65/6.94 | | | | | | | (321) all_64_1 = all_62_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | SIMP: (321) implies:
% 37.65/6.94 | | | | | | | (322) all_64_1 = all_62_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (240), (277) imply:
% 37.65/6.94 | | | | | | | (323) all_74_2 = all_70_2
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | SIMP: (323) implies:
% 37.65/6.94 | | | | | | | (324) all_74_2 = all_70_2
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (283), (308) imply:
% 37.65/6.94 | | | | | | | (325) all_76_1 = 0
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | SIMP: (325) implies:
% 37.65/6.94 | | | | | | | (326) all_76_1 = 0
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (250), (251) imply:
% 37.65/6.94 | | | | | | | (327) all_72_0 = all_66_2
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | SIMP: (327) implies:
% 37.65/6.94 | | | | | | | (328) all_72_0 = all_66_2
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (306), (326) imply:
% 37.65/6.94 | | | | | | | (329) all_68_1 = 0
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | SIMP: (329) implies:
% 37.65/6.94 | | | | | | | (330) all_68_1 = 0
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (216), (318) imply:
% 37.65/6.94 | | | | | | | (331) all_72_1 = all_70_1
% 37.65/6.94 | | | | | | |
% 37.65/6.94 | | | | | | | COMBINE_EQS: (215), (318) imply:
% 37.65/6.94 | | | | | | | (332) all_72_1 = 0
% 37.65/6.94 | | | | | | |
% 37.65/6.95 | | | | | | | COMBINE_EQS: (305), (324) imply:
% 37.65/6.95 | | | | | | | (333) all_70_2 = all_62_2
% 37.65/6.95 | | | | | | |
% 37.65/6.95 | | | | | | | SIMP: (333) implies:
% 37.65/6.95 | | | | | | | (334) all_70_2 = all_62_2
% 37.65/6.95 | | | | | | |
% 37.65/6.95 | | | | | | | COMBINE_EQS: (331), (332) imply:
% 37.65/6.95 | | | | | | | (335) all_70_1 = 0
% 37.65/6.95 | | | | | | |
% 37.65/6.95 | | | | | | | SIMP: (335) implies:
% 37.65/6.95 | | | | | | | (336) all_70_1 = 0
% 37.65/6.95 | | | | | | |
% 37.65/6.95 | | | | | | | COMBINE_EQS: (319), (320) imply:
% 37.65/6.95 | | | | | | | (337) all_64_2 = 0
% 37.65/6.95 | | | | | | |
% 37.65/6.95 | | | | | | | SIMP: (337) implies:
% 37.65/6.95 | | | | | | | (338) all_64_2 = 0
% 37.65/6.95 | | | | | | |
% 37.65/6.95 | | | | | | | COMBINE_EQS: (214), (336) imply:
% 37.65/6.95 | | | | | | | (339) all_64_1 = 0
% 37.65/6.95 | | | | | | |
% 37.65/6.95 | | | | | | | SIMP: (339) implies:
% 37.65/6.95 | | | | | | | (340) all_64_1 = 0
% 37.65/6.95 | | | | | | |
% 37.65/6.95 | | | | | | | COMBINE_EQS: (228), (330) imply:
% 37.65/6.95 | | | | | | | (341) all_66_1 = 0
% 37.65/6.95 | | | | | | |
% 37.65/6.95 | | | | | | | COMBINE_EQS: (322), (340) imply:
% 37.65/6.95 | | | | | | | (342) all_62_1 = 0
% 37.65/6.95 | | | | | | |
% 37.65/6.95 | | | | | | | COMBINE_EQS: (310), (342) imply:
% 37.65/6.95 | | | | | | | (343) all_80_1 = 0
% 37.65/6.95 | | | | | | |
% 37.65/6.95 | | | | | | | COMBINE_EQS: (313), (332) imply:
% 37.65/6.95 | | | | | | | (344) all_82_1 = 0
% 37.65/6.95 | | | | | | |
% 37.65/6.95 | | | | | | | COMBINE_EQS: (312), (319) imply:
% 37.65/6.95 | | | | | | | (345) all_84_2 = 0
% 37.65/6.95 | | | | | | |
% 37.65/6.95 | | | | | | | COMBINE_EQS: (289), (344) imply:
% 37.65/6.95 | | | | | | | (346) all_84_1 = 0
% 37.65/6.95 | | | | | | |
% 37.65/6.95 | | | | | | | COMBINE_EQS: (275), (319) imply:
% 37.65/6.95 | | | | | | | (347) all_86_4 = 0
% 37.65/6.95 | | | | | | |
% 37.65/6.95 | | | | | | | COMBINE_EQS: (218), (342) imply:
% 37.65/6.95 | | | | | | | (348) all_86_3 = 0
% 37.65/6.95 | | | | | | |
% 37.65/6.95 | | | | | | | COMBINE_EQS: (300), (326) imply:
% 37.65/6.95 | | | | | | | (349) all_86_2 = 0
% 37.65/6.95 | | | | | | |
% 37.65/6.95 | | | | | | | COMBINE_EQS: (294), (343) imply:
% 37.65/6.95 | | | | | | | (350) all_88_3 = 0
% 37.65/6.95 | | | | | | |
% 37.65/6.95 | | | | | | | COMBINE_EQS: (293), (326) imply:
% 37.65/6.95 | | | | | | | (351) all_88_2 = 0
% 37.65/6.95 | | | | | | |
% 37.65/6.95 | | | | | | | COMBINE_EQS: (287), (351) imply:
% 37.65/6.95 | | | | | | | (352) all_90_6 = 0
% 37.65/6.95 | | | | | | |
% 37.65/6.95 | | | | | | | COMBINE_EQS: (264), (344) imply:
% 37.65/6.95 | | | | | | | (353) all_92_7 = 0
% 37.65/6.95 | | | | | | |
% 37.65/6.95 | | | | | | | COMBINE_EQS: (231), (352) imply:
% 37.65/6.95 | | | | | | | (354) all_92_6 = 0
% 37.65/6.95 | | | | | | |
% 37.65/6.95 | | | | | | | REDUCE: (163), (255) imply:
% 37.65/6.95 | | | | | | | (355) sdtpldt0(all_44_3, xp) = all_92_3
% 37.65/6.95 | | | | | | |
% 37.65/6.95 | | | | | | | REDUCE: (154), (253) imply:
% 37.65/6.95 | | | | | | | (356) sdtpldt0(all_44_1, xp) = all_90_3
% 37.65/6.95 | | | | | | |
% 37.65/6.95 | | | | | | | REDUCE: (146), (254) imply:
% 37.65/6.95 | | | | | | | (357) sdtpldt0(xr, all_86_1) = all_88_0
% 37.65/6.95 | | | | | | |
% 37.65/6.95 | | | | | | | REDUCE: (141), (254) imply:
% 37.65/6.95 | | | | | | | (358) $i(all_86_1)
% 37.65/6.95 | | | | | | |
% 37.65/6.95 | | | | | | | BETA: splitting (85) gives:
% 37.65/6.95 | | | | | | |
% 37.65/6.95 | | | | | | | Case 1:
% 37.65/6.95 | | | | | | | |
% 37.65/6.95 | | | | | | | | (359) ? [v0: int] : ( ~ (v0 = 0) & aNaturalNumber0(xp) = v0)
% 37.65/6.95 | | | | | | | |
% 37.65/6.95 | | | | | | | | DELTA: instantiating (359) with fresh symbol all_136_0 gives:
% 37.65/6.95 | | | | | | | | (360) ~ (all_136_0 = 0) & aNaturalNumber0(xp) = all_136_0
% 37.65/6.95 | | | | | | | |
% 37.65/6.95 | | | | | | | | ALPHA: (360) implies:
% 37.65/6.95 | | | | | | | | (361) ~ (all_136_0 = 0)
% 37.65/6.95 | | | | | | | | (362) aNaturalNumber0(xp) = all_136_0
% 37.65/6.95 | | | | | | | |
% 37.65/6.95 | | | | | | | | GROUND_INST: instantiating (20) with 0, all_136_0, xp,
% 37.65/6.95 | | | | | | | | simplifying with (6), (362) gives:
% 37.65/6.95 | | | | | | | | (363) all_136_0 = 0
% 37.65/6.95 | | | | | | | |
% 37.65/6.95 | | | | | | | | REDUCE: (361), (363) imply:
% 37.65/6.95 | | | | | | | | (364) $false
% 37.65/6.95 | | | | | | | |
% 37.65/6.95 | | | | | | | | CLOSE: (364) is inconsistent.
% 37.65/6.95 | | | | | | | |
% 37.65/6.95 | | | | | | | Case 2:
% 37.65/6.95 | | | | | | | |
% 37.65/6.95 | | | | | | | | (365) ~ (xp = sz10) & ~ (xp = sz00) & ! [v0: $i] : (v0 =
% 37.65/6.95 | | | | | | | | xp | v0 = sz10 | ~ (doDivides0(v0, xp) = 0) | ~
% 37.65/6.95 | | | | | | | | $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 37.65/6.95 | | | | | | | | aNaturalNumber0(v0) = v1))
% 37.65/6.95 | | | | | | | |
% 37.65/6.95 | | | | | | | | ALPHA: (365) implies:
% 37.65/6.95 | | | | | | | | (366) ~ (xp = sz00)
% 37.65/6.95 | | | | | | | | (367) ~ (xp = sz10)
% 37.65/6.95 | | | | | | | | (368) ! [v0: $i] : (v0 = xp | v0 = sz10 | ~ (doDivides0(v0,
% 37.65/6.95 | | | | | | | | xp) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 =
% 37.65/6.95 | | | | | | | | 0) & aNaturalNumber0(v0) = v1))
% 37.65/6.95 | | | | | | | |
% 37.65/6.95 | | | | | | | | BETA: splitting (139) gives:
% 37.65/6.95 | | | | | | | |
% 37.65/6.95 | | | | | | | | Case 1:
% 37.65/6.95 | | | | | | | | |
% 37.65/6.95 | | | | | | | | | (369) ~ (all_86_2 = 0)
% 37.65/6.95 | | | | | | | | |
% 37.65/6.95 | | | | | | | | | REDUCE: (349), (369) imply:
% 37.65/6.95 | | | | | | | | | (370) $false
% 37.65/6.95 | | | | | | | | |
% 37.65/6.95 | | | | | | | | | CLOSE: (370) is inconsistent.
% 37.65/6.95 | | | | | | | | |
% 37.65/6.95 | | | | | | | | Case 2:
% 37.65/6.95 | | | | | | | | |
% 37.65/6.95 | | | | | | | | | (371) ~ (all_86_3 = 0) | ~ (all_86_4 = 0) | all_86_0 =
% 37.65/6.95 | | | | | | | | | all_44_0
% 37.65/6.95 | | | | | | | | |
% 37.65/6.95 | | | | | | | | | BETA: splitting (77) gives:
% 37.65/6.95 | | | | | | | | |
% 37.65/6.95 | | | | | | | | | Case 1:
% 37.65/6.95 | | | | | | | | | |
% 37.65/6.95 | | | | | | | | | | (372) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 37.65/6.95 | | | | | | | | | | (sdtlseqdt0(xp, xn) = v2 & aNaturalNumber0(xp) = v0
% 37.65/6.95 | | | | | | | | | | & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~
% 37.65/6.95 | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 37.65/6.95 | | | | | | | | | |
% 37.65/6.95 | | | | | | | | | | DELTA: instantiating (372) with fresh symbols all_149_0,
% 37.65/6.95 | | | | | | | | | | all_149_1, all_149_2 gives:
% 37.65/6.95 | | | | | | | | | | (373) sdtlseqdt0(xp, xn) = all_149_0 &
% 37.65/6.95 | | | | | | | | | | aNaturalNumber0(xp) = all_149_2 &
% 37.65/6.95 | | | | | | | | | | aNaturalNumber0(xn) = all_149_1 & ( ~ (all_149_0 =
% 37.65/6.95 | | | | | | | | | | 0) | ~ (all_149_1 = 0) | ~ (all_149_2 = 0))
% 37.65/6.95 | | | | | | | | | |
% 37.65/6.95 | | | | | | | | | | ALPHA: (373) implies:
% 37.65/6.95 | | | | | | | | | | (374) aNaturalNumber0(xn) = all_149_1
% 37.65/6.95 | | | | | | | | | | (375) aNaturalNumber0(xp) = all_149_2
% 37.65/6.95 | | | | | | | | | | (376) sdtlseqdt0(xp, xn) = all_149_0
% 37.65/6.95 | | | | | | | | | | (377) ~ (all_149_0 = 0) | ~ (all_149_1 = 0) | ~
% 37.65/6.95 | | | | | | | | | | (all_149_2 = 0)
% 37.65/6.95 | | | | | | | | | |
% 37.65/6.95 | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_149_1, xn,
% 37.65/6.95 | | | | | | | | | | simplifying with (4), (374) gives:
% 37.65/6.95 | | | | | | | | | | (378) all_149_1 = 0
% 37.65/6.95 | | | | | | | | | |
% 37.65/6.95 | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_149_2, xp,
% 37.65/6.95 | | | | | | | | | | simplifying with (6), (375) gives:
% 37.65/6.95 | | | | | | | | | | (379) all_149_2 = 0
% 37.65/6.95 | | | | | | | | | |
% 37.65/6.95 | | | | | | | | | | GROUND_INST: instantiating (23) with 0, all_149_0, xn, xp,
% 37.65/6.95 | | | | | | | | | | simplifying with (9), (376) gives:
% 37.65/6.95 | | | | | | | | | | (380) all_149_0 = 0
% 37.65/6.95 | | | | | | | | | |
% 37.65/6.95 | | | | | | | | | | BETA: splitting (377) gives:
% 37.65/6.95 | | | | | | | | | |
% 37.65/6.95 | | | | | | | | | | Case 1:
% 37.65/6.95 | | | | | | | | | | |
% 37.65/6.95 | | | | | | | | | | | (381) ~ (all_149_0 = 0)
% 37.65/6.95 | | | | | | | | | | |
% 37.65/6.95 | | | | | | | | | | | REDUCE: (380), (381) imply:
% 37.65/6.95 | | | | | | | | | | | (382) $false
% 37.65/6.95 | | | | | | | | | | |
% 37.65/6.95 | | | | | | | | | | | CLOSE: (382) is inconsistent.
% 37.65/6.95 | | | | | | | | | | |
% 37.65/6.95 | | | | | | | | | | Case 2:
% 37.65/6.95 | | | | | | | | | | |
% 37.65/6.95 | | | | | | | | | | | (383) ~ (all_149_1 = 0) | ~ (all_149_2 = 0)
% 37.65/6.95 | | | | | | | | | | |
% 37.65/6.95 | | | | | | | | | | | BETA: splitting (383) gives:
% 37.65/6.95 | | | | | | | | | | |
% 37.65/6.95 | | | | | | | | | | | Case 1:
% 37.65/6.95 | | | | | | | | | | | |
% 37.65/6.95 | | | | | | | | | | | | (384) ~ (all_149_1 = 0)
% 37.65/6.95 | | | | | | | | | | | |
% 37.65/6.95 | | | | | | | | | | | | REDUCE: (378), (384) imply:
% 37.65/6.95 | | | | | | | | | | | | (385) $false
% 37.65/6.95 | | | | | | | | | | | |
% 37.65/6.95 | | | | | | | | | | | | CLOSE: (385) is inconsistent.
% 37.65/6.95 | | | | | | | | | | | |
% 37.65/6.95 | | | | | | | | | | | Case 2:
% 37.65/6.95 | | | | | | | | | | | |
% 37.65/6.95 | | | | | | | | | | | | (386) ~ (all_149_2 = 0)
% 37.65/6.95 | | | | | | | | | | | |
% 37.65/6.95 | | | | | | | | | | | | REDUCE: (379), (386) imply:
% 37.65/6.95 | | | | | | | | | | | | (387) $false
% 37.65/6.95 | | | | | | | | | | | |
% 37.65/6.95 | | | | | | | | | | | | CLOSE: (387) is inconsistent.
% 37.65/6.95 | | | | | | | | | | | |
% 37.65/6.95 | | | | | | | | | | | End of split
% 37.65/6.95 | | | | | | | | | | |
% 37.65/6.95 | | | | | | | | | | End of split
% 37.65/6.95 | | | | | | | | | |
% 37.65/6.95 | | | | | | | | | Case 2:
% 37.65/6.95 | | | | | | | | | |
% 37.65/6.96 | | | | | | | | | | (388) ! [v0: $i] : (v0 = xr | ~ (sdtpldt0(xp, v0) = xn)
% 37.65/6.96 | | | | | | | | | | | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 37.65/6.96 | | | | | | | | | | aNaturalNumber0(v0) = v1)) & ! [v0: $i] : ( ~
% 37.65/6.96 | | | | | | | | | | (sdtpldt0(xp, xr) = v0) | ~ $i(xr) | (v0 = xn &
% 37.65/6.96 | | | | | | | | | | aNaturalNumber0(xr) = 0))
% 37.65/6.96 | | | | | | | | | |
% 37.65/6.96 | | | | | | | | | | ALPHA: (388) implies:
% 37.65/6.96 | | | | | | | | | | (389) ! [v0: $i] : (v0 = xr | ~ (sdtpldt0(xp, v0) = xn)
% 37.65/6.96 | | | | | | | | | | | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 37.65/6.96 | | | | | | | | | | aNaturalNumber0(v0) = v1))
% 37.65/6.96 | | | | | | | | | |
% 37.65/6.96 | | | | | | | | | | BETA: splitting (132) gives:
% 37.65/6.96 | | | | | | | | | |
% 37.65/6.96 | | | | | | | | | | Case 1:
% 37.65/6.96 | | | | | | | | | | |
% 37.65/6.96 | | | | | | | | | | | (390) ~ (all_84_1 = 0)
% 37.65/6.96 | | | | | | | | | | |
% 37.65/6.96 | | | | | | | | | | | REDUCE: (346), (390) imply:
% 37.65/6.96 | | | | | | | | | | | (391) $false
% 37.65/6.96 | | | | | | | | | | |
% 37.65/6.96 | | | | | | | | | | | CLOSE: (391) is inconsistent.
% 37.65/6.96 | | | | | | | | | | |
% 37.65/6.96 | | | | | | | | | | Case 2:
% 37.65/6.96 | | | | | | | | | | |
% 37.65/6.96 | | | | | | | | | | | (392) ~ (all_84_2 = 0) | all_84_0 = all_44_1
% 37.65/6.96 | | | | | | | | | | |
% 37.65/6.96 | | | | | | | | | | | BETA: splitting (371) gives:
% 37.65/6.96 | | | | | | | | | | |
% 37.65/6.96 | | | | | | | | | | | Case 1:
% 37.65/6.96 | | | | | | | | | | | |
% 37.65/6.96 | | | | | | | | | | | | (393) ~ (all_86_3 = 0)
% 37.65/6.96 | | | | | | | | | | | |
% 37.65/6.96 | | | | | | | | | | | | REDUCE: (348), (393) imply:
% 37.65/6.96 | | | | | | | | | | | | (394) $false
% 37.65/6.96 | | | | | | | | | | | |
% 37.65/6.96 | | | | | | | | | | | | CLOSE: (394) is inconsistent.
% 37.65/6.96 | | | | | | | | | | | |
% 37.65/6.96 | | | | | | | | | | | Case 2:
% 37.65/6.96 | | | | | | | | | | | |
% 37.65/6.96 | | | | | | | | | | | | (395) ~ (all_86_4 = 0) | all_86_0 = all_44_0
% 37.65/6.96 | | | | | | | | | | | |
% 37.65/6.96 | | | | | | | | | | | | BETA: splitting (127) gives:
% 37.65/6.96 | | | | | | | | | | | |
% 37.65/6.96 | | | | | | | | | | | | Case 1:
% 37.65/6.96 | | | | | | | | | | | | |
% 37.65/6.96 | | | | | | | | | | | | | (396) ~ (all_82_1 = 0)
% 37.65/6.96 | | | | | | | | | | | | |
% 37.65/6.96 | | | | | | | | | | | | | REDUCE: (344), (396) imply:
% 37.65/6.96 | | | | | | | | | | | | | (397) $false
% 37.65/6.96 | | | | | | | | | | | | |
% 37.65/6.96 | | | | | | | | | | | | | CLOSE: (397) is inconsistent.
% 37.65/6.96 | | | | | | | | | | | | |
% 37.65/6.96 | | | | | | | | | | | | Case 2:
% 37.65/6.96 | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | (398) ~ (all_82_2 = 0) | all_82_0 = all_40_0
% 37.91/6.96 | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | BETA: splitting (74) gives:
% 37.91/6.96 | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | Case 1:
% 37.91/6.96 | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | (399) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xp)
% 37.91/6.96 | | | | | | | | | | | | | | = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v1 = 0) |
% 37.91/6.96 | | | | | | | | | | | | | | ~ (v0 = 0)))
% 37.91/6.96 | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | DELTA: instantiating (399) with fresh symbols all_163_0,
% 37.91/6.96 | | | | | | | | | | | | | | all_163_1 gives:
% 37.91/6.96 | | | | | | | | | | | | | | (400) aNaturalNumber0(xp) = all_163_1 &
% 37.91/6.96 | | | | | | | | | | | | | | aNaturalNumber0(xn) = all_163_0 & ( ~ (all_163_0 =
% 37.91/6.96 | | | | | | | | | | | | | | 0) | ~ (all_163_1 = 0))
% 37.91/6.96 | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | ALPHA: (400) implies:
% 37.91/6.96 | | | | | | | | | | | | | | (401) aNaturalNumber0(xn) = all_163_0
% 37.91/6.96 | | | | | | | | | | | | | | (402) aNaturalNumber0(xp) = all_163_1
% 37.91/6.96 | | | | | | | | | | | | | | (403) ~ (all_163_0 = 0) | ~ (all_163_1 = 0)
% 37.91/6.96 | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_163_0, xn,
% 37.91/6.96 | | | | | | | | | | | | | | simplifying with (4), (401) gives:
% 37.91/6.96 | | | | | | | | | | | | | | (404) all_163_0 = 0
% 37.91/6.96 | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_163_1, xp,
% 37.91/6.96 | | | | | | | | | | | | | | simplifying with (6), (402) gives:
% 37.91/6.96 | | | | | | | | | | | | | | (405) all_163_1 = 0
% 37.91/6.96 | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | BETA: splitting (403) gives:
% 37.91/6.96 | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | Case 1:
% 37.91/6.96 | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | (406) ~ (all_163_0 = 0)
% 37.91/6.96 | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | REDUCE: (404), (406) imply:
% 37.91/6.96 | | | | | | | | | | | | | | | (407) $false
% 37.91/6.96 | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | CLOSE: (407) is inconsistent.
% 37.91/6.96 | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | Case 2:
% 37.91/6.96 | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | (408) ~ (all_163_1 = 0)
% 37.91/6.96 | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | REDUCE: (405), (408) imply:
% 37.91/6.96 | | | | | | | | | | | | | | | (409) $false
% 37.91/6.96 | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | CLOSE: (409) is inconsistent.
% 37.91/6.96 | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | End of split
% 37.91/6.96 | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | Case 2:
% 37.91/6.96 | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | (410) ? [v0: $i] : (sdtpldt0(xp, v0) = xn &
% 37.91/6.96 | | | | | | | | | | | | | | aNaturalNumber0(v0) = 0 & $i(v0))
% 37.91/6.96 | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | DELTA: instantiating (410) with fresh symbol all_163_0
% 37.91/6.96 | | | | | | | | | | | | | | gives:
% 37.91/6.96 | | | | | | | | | | | | | | (411) sdtpldt0(xp, all_163_0) = xn &
% 37.91/6.96 | | | | | | | | | | | | | | aNaturalNumber0(all_163_0) = 0 & $i(all_163_0)
% 37.91/6.96 | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | ALPHA: (411) implies:
% 37.91/6.96 | | | | | | | | | | | | | | (412) $i(all_163_0)
% 37.91/6.96 | | | | | | | | | | | | | | (413) aNaturalNumber0(all_163_0) = 0
% 37.91/6.96 | | | | | | | | | | | | | | (414) sdtpldt0(xp, all_163_0) = xn
% 37.91/6.96 | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | BETA: splitting (59) gives:
% 37.91/6.96 | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | Case 1:
% 37.91/6.96 | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | (415) xp = sz00
% 37.91/6.96 | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | REDUCE: (366), (415) imply:
% 37.91/6.96 | | | | | | | | | | | | | | | (416) $false
% 37.91/6.96 | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | CLOSE: (416) is inconsistent.
% 37.91/6.96 | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | Case 2:
% 37.91/6.96 | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | (417) xp = sz10 | ? [v0: $i] : (isPrime0(v0) = 0 &
% 37.91/6.96 | | | | | | | | | | | | | | | doDivides0(v0, xp) = 0 & aNaturalNumber0(v0) = 0
% 37.91/6.96 | | | | | | | | | | | | | | | & $i(v0))
% 37.91/6.96 | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | BETA: splitting (93) gives:
% 37.91/6.96 | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | Case 1:
% 37.91/6.96 | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | (418) ~ (all_64_1 = 0)
% 37.91/6.96 | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | REDUCE: (340), (418) imply:
% 37.91/6.96 | | | | | | | | | | | | | | | | (419) $false
% 37.91/6.96 | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | CLOSE: (419) is inconsistent.
% 37.91/6.96 | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | Case 2:
% 37.91/6.96 | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | (420) ~ (all_64_2 = 0) | all_64_0 = 0
% 37.91/6.96 | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | BETA: splitting (417) gives:
% 37.91/6.96 | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | Case 1:
% 37.91/6.96 | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | (421) xp = sz10
% 37.91/6.96 | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | REDUCE: (367), (421) imply:
% 37.91/6.96 | | | | | | | | | | | | | | | | | (422) $false
% 37.91/6.96 | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | CLOSE: (422) is inconsistent.
% 37.91/6.96 | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | Case 2:
% 37.91/6.96 | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | (423) ? [v0: $i] : (isPrime0(v0) = 0 & doDivides0(v0,
% 37.91/6.96 | | | | | | | | | | | | | | | | | xp) = 0 & aNaturalNumber0(v0) = 0 & $i(v0))
% 37.91/6.96 | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | DELTA: instantiating (423) with fresh symbol all_175_0
% 37.91/6.96 | | | | | | | | | | | | | | | | | gives:
% 37.91/6.96 | | | | | | | | | | | | | | | | | (424) isPrime0(all_175_0) = 0 & doDivides0(all_175_0,
% 37.91/6.96 | | | | | | | | | | | | | | | | | xp) = 0 & aNaturalNumber0(all_175_0) = 0 &
% 37.91/6.96 | | | | | | | | | | | | | | | | | $i(all_175_0)
% 37.91/6.96 | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | ALPHA: (424) implies:
% 37.91/6.96 | | | | | | | | | | | | | | | | | (425) $i(all_175_0)
% 37.91/6.96 | | | | | | | | | | | | | | | | | (426) aNaturalNumber0(all_175_0) = 0
% 37.91/6.96 | | | | | | | | | | | | | | | | | (427) doDivides0(all_175_0, xp) = 0
% 37.91/6.96 | | | | | | | | | | | | | | | | | (428) isPrime0(all_175_0) = 0
% 37.91/6.96 | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | BETA: splitting (395) gives:
% 37.91/6.96 | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | Case 1:
% 37.91/6.96 | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | (429) ~ (all_86_4 = 0)
% 37.91/6.96 | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | REDUCE: (347), (429) imply:
% 37.91/6.96 | | | | | | | | | | | | | | | | | | (430) $false
% 37.91/6.96 | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | CLOSE: (430) is inconsistent.
% 37.91/6.96 | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | Case 2:
% 37.91/6.96 | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | (431) all_86_0 = all_44_0
% 37.91/6.96 | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | REDUCE: (137), (431) imply:
% 37.91/6.96 | | | | | | | | | | | | | | | | | | (432) sdtpldt0(xn, all_86_1) = all_44_0
% 37.91/6.96 | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | BETA: splitting (108) gives:
% 37.91/6.96 | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | Case 1:
% 37.91/6.96 | | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | (433) ~ (all_72_1 = 0)
% 37.91/6.96 | | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | REDUCE: (332), (433) imply:
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | (434) $false
% 37.91/6.96 | | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | CLOSE: (434) is inconsistent.
% 37.91/6.96 | | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | Case 2:
% 37.91/6.96 | | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | (435) ~ (all_72_2 = 0) | all_72_0 = 0
% 37.91/6.96 | | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | BETA: splitting (435) gives:
% 37.91/6.96 | | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | Case 1:
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | (436) ~ (all_72_2 = 0)
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (319), (436) imply:
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | (437) $false
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | CLOSE: (437) is inconsistent.
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | Case 2:
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | (438) all_72_0 = 0
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (438) imply:
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | (439) all_66_2 = 0
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | SIMP: (439) implies:
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | (440) all_66_2 = 0
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | BETA: splitting (420) gives:
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | | (441) ~ (all_64_2 = 0)
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (338), (441) imply:
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | | (442) $false
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | | CLOSE: (442) is inconsistent.
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | | (443) all_64_0 = 0
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (443) imply:
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | | (444) aNaturalNumber0(all_40_0) = 0
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (84) gives:
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | | | (445) ? [v0: any] : ? [v1: any] :
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_40_0) = v1 &
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | | | = 0)))
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (445) with fresh symbols all_199_0,
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | | | all_199_1 gives:
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | | | (446) aNaturalNumber0(all_40_0) = all_199_0 &
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_199_1 & ( ~ (all_199_0 =
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_199_1 = 0))
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (446) implies:
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | | | (447) aNaturalNumber0(xp) = all_199_1
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | | | (448) aNaturalNumber0(all_40_0) = all_199_0
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | | | (449) ~ (all_199_0 = 0) | ~ (all_199_1 = 0)
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_199_1, xp,
% 37.91/6.96 | | | | | | | | | | | | | | | | | | | | | | simplifying with (6), (447) gives:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | (450) all_199_1 = 0
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_199_0, all_40_0,
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | simplifying with (444), (448) gives:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | (451) all_199_0 = 0
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (449) gives:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | (452) ~ (all_199_0 = 0)
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (451), (452) imply:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | (453) $false
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (453) is inconsistent.
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | (454) ~ (all_199_1 = 0)
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (450), (454) imply:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | (455) $false
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (455) is inconsistent.
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | (456) ? [v0: $i] : (sdtasdt0(xp, v0) = all_40_0 &
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = 0 & $i(v0))
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (456) with fresh symbol all_199_0
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | gives:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | (457) sdtasdt0(xp, all_199_0) = all_40_0 &
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_199_0) = 0 & $i(all_199_0)
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (457) implies:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | (458) $i(all_199_0)
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | (459) aNaturalNumber0(all_199_0) = 0
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | (460) sdtasdt0(xp, all_199_0) = all_40_0
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (392) gives:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | (461) ~ (all_84_2 = 0)
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (345), (461) imply:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | (462) $false
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (462) is inconsistent.
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | (463) all_84_0 = all_44_1
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (463) imply:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | (464) sdtpldt0(xm, xn) = all_44_1
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (98) gives:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | (465) ~ (all_66_1 = 0)
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (341), (465) imply:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | (466) $false
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (466) is inconsistent.
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | (467) ~ (all_66_2 = 0) | all_66_0 = 0
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (467) gives:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | (468) ~ (all_66_2 = 0)
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (440), (468) imply:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | (469) $false
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (469) is inconsistent.
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | (470) all_66_0 = 0
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (97), (470) imply:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | (471) aNaturalNumber0(all_44_0) = 0
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (398) gives:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (472) ~ (all_82_2 = 0)
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (207), (472) imply:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (473) $false
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (473) is inconsistent.
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (474) all_82_0 = all_40_0
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (474) imply:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (475) sdtasdt0(xm, xn) = all_40_0
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_44_2, all_92_3, xp,
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | all_44_3, simplifying with (45), (355) gives:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (476) all_92_3 = all_44_2
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_44_0, all_90_3, xp,
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | all_44_1, simplifying with (46), (356) gives:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (477) all_90_3 = all_44_0
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (476) imply:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (478) iLess0(all_44_2, all_44_0) = all_92_2
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_175_0, simplifying with
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (425), (426) gives:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (479) all_175_0 = sz00 | ! [v0: $i] : ! [v1: $i] : !
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(all_175_0, v1) = v3) | ~
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(all_175_0, v0) = v2) | ~ $i(v1) | ~
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | $i] : ? [v7: $i] : (sdtasdt0(v1, all_175_0) =
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | v7 & sdtasdt0(v0, all_175_0) = v6 &
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0)
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = v4 & $i(v7) & $i(v6) & ( ~ (v5 = 0) | ~ (v4
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | ( ~ (v7 = v6) & ~ (v3 = v2)))))
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddComm) with xn, all_86_1,
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | all_44_0, simplifying with (14), (358), (432)
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (480) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtpldt0(all_86_1, xn) = v2 &
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_86_1) = v1 &
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = v0 & $i(v2) & ( ~ (v1 = 0)
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = all_44_0))
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB) with xn, all_86_1,
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | all_44_0, simplifying with (14), (358), (432)
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (481) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_86_1) = v1 &
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_44_0) = v2 &
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | v2 = 0))
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddAsso) with xm, xn, xp,
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | all_44_1, all_44_0, simplifying with (14), (16),
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (17), (46), (464) gives:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (482) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtpldt0(xm, v3) = v4 &
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | sdtpldt0(xn, xp) = v3 & aNaturalNumber0(xp) = v2
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | & aNaturalNumber0(xm) = v0 & aNaturalNumber0(xn)
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = v1 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 =
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v4 = all_44_0))
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddComm) with xm, xp, all_86_1,
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16), (17), (138) gives:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (483) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtpldt0(xp, xm) = v2 & aNaturalNumber0(xp) = v1
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | & aNaturalNumber0(xm) = v0 & $i(v2) & ( ~ (v1 =
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v2 = all_86_1))
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB) with xm, xp, all_86_1,
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16), (17), (138) gives:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (484) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_86_1) = v2 &
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v1 & aNaturalNumber0(xm) =
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddComm) with xm, xr, all_74_0,
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16), (18), (112) gives:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (485) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtpldt0(xr, xm) = v2 & aNaturalNumber0(xr) = v1
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | & aNaturalNumber0(xm) = v0 & $i(v2) & ( ~ (v1 =
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v2 = all_74_0))
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB) with xm, xr, all_74_0,
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16), (18), (112) gives:
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (486) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_74_0) = v2 &
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v1 & aNaturalNumber0(xm) =
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddComm) with xp, all_44_3,
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | all_76_0, simplifying with (17), (41), (115)
% 37.91/6.97 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (487) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtpldt0(all_44_3, xp) = v2 &
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_44_3) = v1 &
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v0 & $i(v2) & ( ~ (v1 = 0)
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = all_76_0))
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddAsso) with xp, all_163_0, xm,
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | xn, all_44_1, simplifying with (16), (17), (43),
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (412), (414) gives:
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (488) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtpldt0(all_163_0, xm)
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | = v3 & sdtpldt0(xp, v3) = v4 &
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_163_0) = v1 &
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) =
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | v2 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 =
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v4 = all_44_1))
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddAsso) with xp, all_163_0,
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | all_86_1, xn, all_44_0, simplifying with (17),
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (412), (414), (432) gives:
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (489) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtpldt0(all_163_0,
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | all_86_1) = v3 & sdtpldt0(xp, v3) = v4 &
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_163_0) = v1 &
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_86_1) = v2 &
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v0 & $i(v4) & $i(v3) & ( ~
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 =
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | all_44_0))
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (389) with all_163_0, simplifying
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | with (412), (414) gives:
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (490) all_163_0 = xr | ? [v0: int] : ( ~ (v0 = 0) &
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_163_0) = v0)
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddComm) with xp, all_163_0, xn,
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (17), (412), (414) gives:
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (491) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtpldt0(all_163_0, xp) = v2 &
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_163_0) = v1 &
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v0 & $i(v2) & ( ~ (v1 = 0)
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = xn))
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddComm) with xr, all_86_1,
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | all_88_0, simplifying with (18), (357), (358)
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (492) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtpldt0(all_86_1, xr) = v2 &
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_86_1) = v1 &
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v0 & $i(v2) & ( ~ (v1 = 0)
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = all_88_0))
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB) with xr, all_86_1,
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | all_88_0, simplifying with (18), (357), (358)
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (493) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_88_0) = v2 &
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_86_1) = v1 &
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v0 & ( ~ (v1 = 0) | ~ (v0
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | v2 = 0))
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (53) with xm, xn, xp, all_40_0,
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (14), (16), (17), (32), (475)
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (494) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6:
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v7: any] : ? [v8: any] :
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (isPrime0(xp) = v3 & doDivides0(xp, xm) = v7 &
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | doDivides0(xp, xn) = v8 & iLess0(v5, all_46_0) =
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | v6 & sdtpldt0(v4, xp) = v5 & sdtpldt0(xm, xn) =
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | v4 & aNaturalNumber0(xp) = v2 &
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = v0 & aNaturalNumber0(xn) =
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | v1 & $i(v5) & $i(v4) & ( ~ (v6 = 0) | ~ (v3 =
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | v8 = 0 | v7 = 0))
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xm, xr, all_80_0,
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16), (18), (122) gives:
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (495) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(xr, xm) = v2 & aNaturalNumber0(xr) = v1
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | & aNaturalNumber0(xm) = v0 & $i(v2) & ( ~ (v1 =
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v2 = all_80_0))
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB_02) with xm, xr, all_80_0,
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16), (18), (122) gives:
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (496) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_80_0) = v2 &
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v1 & aNaturalNumber0(xm) =
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (53) with xp, all_199_0, xp,
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | all_40_0, simplifying with (17), (32), (458),
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (460) gives:
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (497) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6:
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v7: any] : ? [v8: any] :
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (isPrime0(xp) = v3 & doDivides0(xp, all_199_0) =
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | v8 & doDivides0(xp, xp) = v7 & iLess0(v5,
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | all_46_0) = v6 & sdtpldt0(v4, xp) = v5 &
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | sdtpldt0(xp, all_199_0) = v4 &
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_199_0) = v1 &
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v2 & aNaturalNumber0(xp) =
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | v0 & $i(v5) & $i(v4) & ( ~ (v6 = 0) | ~ (v3 =
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | v8 = 0 | v7 = 0))
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xp, all_199_0,
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | all_40_0, simplifying with (17), (458), (460)
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (498) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(all_199_0, xp) = v2 &
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_199_0) = v1 &
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v0 & $i(v2) & ( ~ (v1 = 0)
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = all_40_0))
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mIH_03) with all_44_2, all_44_0,
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | all_92_2, simplifying with (42), (58), (478)
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (499) all_92_2 = 0 | all_44_0 = all_44_2 | ? [v0: any]
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | : ? [v1: any] : ? [v2: any] :
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtlseqdt0(all_44_2, all_44_0) = v2 &
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_44_0) = v1 &
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_44_2) = v0 & ( ~ (v2 = 0) |
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (368) with all_175_0, simplifying
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | with (425), (427) gives:
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (500) all_175_0 = xp | all_175_0 = sz10 | ? [v0: int] :
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) & aNaturalNumber0(all_175_0) = v0)
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_175_0, 0, simplifying
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | with (425), (428) gives:
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (501) ? [v0: int] : ( ~ (v0 = 0) &
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_175_0) = v0) | ( ~
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_175_0 = sz10) & ~ (all_175_0 = sz00) & !
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | [v0: any] : (v0 = all_175_0 | v0 = sz10 | ~
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (doDivides0(v0, all_175_0) = 0) | ~ $i(v0) |
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | ? [v1: int] : ( ~ (v1 = 0) &
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = v1)))
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (496) with fresh symbols all_238_0,
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | all_238_1, all_238_2 gives:
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (502) aNaturalNumber0(all_80_0) = all_238_0 &
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_238_1 &
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_238_2 & ( ~ (all_238_1 =
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_238_2 = 0) | all_238_0 = 0)
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (502) implies:
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (503) aNaturalNumber0(xm) = all_238_2
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (504) aNaturalNumber0(xr) = all_238_1
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (486) with fresh symbols all_242_0,
% 37.91/6.98 | | | | | | | | | | | | | | | | | | | | | | | | | | all_242_1, all_242_2 gives:
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (505) aNaturalNumber0(all_74_0) = all_242_0 &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_242_1 &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_242_2 & ( ~ (all_242_1 =
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_242_2 = 0) | all_242_0 = 0)
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (505) implies:
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (506) aNaturalNumber0(xm) = all_242_2
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (507) aNaturalNumber0(xr) = all_242_1
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (493) with fresh symbols all_244_0,
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_244_1, all_244_2 gives:
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (508) aNaturalNumber0(all_88_0) = all_244_0 &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_86_1) = all_244_1 &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_244_2 & ( ~ (all_244_1 =
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_244_2 = 0) | all_244_0 = 0)
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (508) implies:
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (509) aNaturalNumber0(xr) = all_244_2
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (510) aNaturalNumber0(all_86_1) = all_244_1
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (511) aNaturalNumber0(all_88_0) = all_244_0
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (512) ~ (all_244_1 = 0) | ~ (all_244_2 = 0) |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_244_0 = 0
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (481) with fresh symbols all_246_0,
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_246_1, all_246_2 gives:
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (513) aNaturalNumber0(all_86_1) = all_246_1 &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_44_0) = all_246_0 &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = all_246_2 & ( ~ (all_246_1 =
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_246_2 = 0) | all_246_0 = 0)
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (513) implies:
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (514) aNaturalNumber0(all_44_0) = all_246_0
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (484) with fresh symbols all_248_0,
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_248_1, all_248_2 gives:
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (515) aNaturalNumber0(all_86_1) = all_248_0 &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_248_1 &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_248_2 & ( ~ (all_248_1 =
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_248_2 = 0) | all_248_0 = 0)
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (515) implies:
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (516) aNaturalNumber0(xm) = all_248_2
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (517) aNaturalNumber0(xp) = all_248_1
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (518) aNaturalNumber0(all_86_1) = all_248_0
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (519) ~ (all_248_1 = 0) | ~ (all_248_2 = 0) |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_248_0 = 0
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (487) with fresh symbols all_250_0,
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_250_1, all_250_2 gives:
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (520) sdtpldt0(all_44_3, xp) = all_250_0 &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_44_3) = all_250_1 &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_250_2 & $i(all_250_0) &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_250_1 = 0) | ~ (all_250_2 = 0) |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_250_0 = all_76_0)
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (520) implies:
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (521) aNaturalNumber0(xp) = all_250_2
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (495) with fresh symbols all_252_0,
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_252_1, all_252_2 gives:
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (522) sdtasdt0(xr, xm) = all_252_0 & aNaturalNumber0(xr)
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_252_1 & aNaturalNumber0(xm) = all_252_2 &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_252_0) & ( ~ (all_252_1 = 0) | ~
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_252_2 = 0) | all_252_0 = all_80_0)
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (522) implies:
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (523) aNaturalNumber0(xm) = all_252_2
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (524) aNaturalNumber0(xr) = all_252_1
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (498) with fresh symbols all_254_0,
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_254_1, all_254_2 gives:
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (525) sdtasdt0(all_199_0, xp) = all_254_0 &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_199_0) = all_254_1 &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_254_2 & $i(all_254_0) &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_254_1 = 0) | ~ (all_254_2 = 0) |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_254_0 = all_40_0)
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (525) implies:
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (526) aNaturalNumber0(xp) = all_254_2
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (527) aNaturalNumber0(all_199_0) = all_254_1
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (528) ~ (all_254_1 = 0) | ~ (all_254_2 = 0) |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_254_0 = all_40_0
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (491) with fresh symbols all_256_0,
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_256_1, all_256_2 gives:
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (529) sdtpldt0(all_163_0, xp) = all_256_0 &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_163_0) = all_256_1 &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_256_2 & $i(all_256_0) &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_256_1 = 0) | ~ (all_256_2 = 0) |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_256_0 = xn)
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (529) implies:
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (530) aNaturalNumber0(xp) = all_256_2
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (531) aNaturalNumber0(all_163_0) = all_256_1
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (492) with fresh symbols all_258_0,
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_258_1, all_258_2 gives:
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (532) sdtpldt0(all_86_1, xr) = all_258_0 &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_86_1) = all_258_1 &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_258_2 & $i(all_258_0) &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_258_1 = 0) | ~ (all_258_2 = 0) |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_258_0 = all_88_0)
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (532) implies:
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (533) aNaturalNumber0(xr) = all_258_2
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (534) aNaturalNumber0(all_86_1) = all_258_1
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (485) with fresh symbols all_260_0,
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_260_1, all_260_2 gives:
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (535) sdtpldt0(xr, xm) = all_260_0 & aNaturalNumber0(xr)
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_260_1 & aNaturalNumber0(xm) = all_260_2 &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_260_0) & ( ~ (all_260_1 = 0) | ~
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_260_2 = 0) | all_260_0 = all_74_0)
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (535) implies:
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (536) aNaturalNumber0(xm) = all_260_2
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (537) aNaturalNumber0(xr) = all_260_1
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (483) with fresh symbols all_262_0,
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_262_1, all_262_2 gives:
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (538) sdtpldt0(xp, xm) = all_262_0 & aNaturalNumber0(xp)
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_262_1 & aNaturalNumber0(xm) = all_262_2 &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_262_0) & ( ~ (all_262_1 = 0) | ~
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_262_2 = 0) | all_262_0 = all_86_1)
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (538) implies:
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (539) aNaturalNumber0(xm) = all_262_2
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (540) aNaturalNumber0(xp) = all_262_1
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (480) with fresh symbols all_264_0,
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_264_1, all_264_2 gives:
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (541) sdtpldt0(all_86_1, xn) = all_264_0 &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_86_1) = all_264_1 &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = all_264_2 & $i(all_264_0) &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_264_1 = 0) | ~ (all_264_2 = 0) |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_264_0 = all_44_0)
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (541) implies:
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (542) aNaturalNumber0(all_86_1) = all_264_1
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (482) with fresh symbols all_266_0,
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_266_1, all_266_2, all_266_3, all_266_4 gives:
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (543) sdtpldt0(xm, all_266_1) = all_266_0 & sdtpldt0(xn,
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | xp) = all_266_1 & aNaturalNumber0(xp) =
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_266_2 & aNaturalNumber0(xm) = all_266_4 &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = all_266_3 & $i(all_266_0) &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_266_1) & ( ~ (all_266_2 = 0) | ~
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_266_3 = 0) | ~ (all_266_4 = 0) | all_266_0
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_44_0)
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (543) implies:
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (544) aNaturalNumber0(xm) = all_266_4
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (545) aNaturalNumber0(xp) = all_266_2
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (489) with fresh symbols all_268_0,
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_268_1, all_268_2, all_268_3, all_268_4 gives:
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (546) sdtpldt0(all_163_0, all_86_1) = all_268_1 &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | sdtpldt0(xp, all_268_1) = all_268_0 &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_163_0) = all_268_3 &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_86_1) = all_268_2 &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_268_4 & $i(all_268_0) &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_268_1) & ( ~ (all_268_2 = 0) | ~
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_268_3 = 0) | ~ (all_268_4 = 0) | all_268_0
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_44_0)
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (546) implies:
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (547) aNaturalNumber0(xp) = all_268_4
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (548) aNaturalNumber0(all_163_0) = all_268_3
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (488) with fresh symbols all_270_0,
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_270_1, all_270_2, all_270_3, all_270_4 gives:
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (549) sdtpldt0(all_163_0, xm) = all_270_1 & sdtpldt0(xp,
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_270_1) = all_270_0 &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_163_0) = all_270_3 &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_270_4 &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_270_2 & $i(all_270_0) &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_270_1) & ( ~ (all_270_2 = 0) | ~
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_270_3 = 0) | ~ (all_270_4 = 0) | all_270_0
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_44_1)
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (549) implies:
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (550) aNaturalNumber0(xm) = all_270_2
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (551) aNaturalNumber0(xp) = all_270_4
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (552) aNaturalNumber0(all_163_0) = all_270_3
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (494) with fresh symbols all_272_0,
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_272_1, all_272_2, all_272_3, all_272_4,
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_272_5, all_272_6, all_272_7, all_272_8 gives:
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (553) isPrime0(xp) = all_272_5 & doDivides0(xp, xm) =
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_272_1 & doDivides0(xp, xn) = all_272_0 &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | iLess0(all_272_3, all_46_0) = all_272_2 &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | sdtpldt0(all_272_4, xp) = all_272_3 & sdtpldt0(xm,
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | xn) = all_272_4 & aNaturalNumber0(xp) =
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_272_6 & aNaturalNumber0(xm) = all_272_8 &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = all_272_7 & $i(all_272_3) &
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_272_4) & ( ~ (all_272_2 = 0) | ~
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_272_5 = 0) | ~ (all_272_6 = 0) | ~
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_272_7 = 0) | ~ (all_272_8 = 0) | all_272_0
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | = 0 | all_272_1 = 0)
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (553) implies:
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (554) aNaturalNumber0(xm) = all_272_8
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (555) aNaturalNumber0(xp) = all_272_6
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (497) with fresh symbols all_274_0,
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_274_1, all_274_2, all_274_3, all_274_4,
% 37.91/6.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_274_5, all_274_6, all_274_7, all_274_8 gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (556) isPrime0(xp) = all_274_5 & doDivides0(xp,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_199_0) = all_274_0 & doDivides0(xp, xp) =
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_274_1 & iLess0(all_274_3, all_46_0) =
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_274_2 & sdtpldt0(all_274_4, xp) = all_274_3 &
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | sdtpldt0(xp, all_199_0) = all_274_4 &
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_199_0) = all_274_7 &
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_274_6 &
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_274_8 & $i(all_274_3) &
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_274_4) & ( ~ (all_274_2 = 0) | ~
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_274_5 = 0) | ~ (all_274_6 = 0) | ~
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_274_7 = 0) | ~ (all_274_8 = 0) | all_274_0
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | = 0 | all_274_1 = 0)
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (556) implies:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (557) aNaturalNumber0(xp) = all_274_8
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (558) aNaturalNumber0(xp) = all_274_6
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (559) aNaturalNumber0(all_199_0) = all_274_7
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (501) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (560) ? [v0: int] : ( ~ (v0 = 0) &
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_175_0) = v0)
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (560) with fresh symbol all_279_0
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (561) ~ (all_279_0 = 0) & aNaturalNumber0(all_175_0) =
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_279_0
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (426), (561) are inconsistent by sub-proof
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1.
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (562) ~ (all_175_0 = sz10) & ~ (all_175_0 = sz00) & !
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | [v0: any] : (v0 = all_175_0 | v0 = sz10 | ~
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (doDivides0(v0, all_175_0) = 0) | ~ $i(v0) | ?
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | [v1: int] : ( ~ (v1 = 0) & aNaturalNumber0(v0) =
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | v1))
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (562) implies:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (563) ~ (all_175_0 = sz00)
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (564) ~ (all_175_0 = sz10)
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (500) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (565) all_175_0 = xp
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (479) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (566) all_175_0 = sz00
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (565), (566) imply:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (567) xp = sz00
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (567) imply:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (568) $false
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (568) is inconsistent.
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_242_2, xm,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (5), (506) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (569) all_242_2 = 0
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_242_2, all_248_2, xm,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (506), (516) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (570) all_248_2 = all_242_2
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_248_2, all_252_2, xm,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (516), (523) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (571) all_252_2 = all_248_2
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_262_2, all_266_4, xm,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (539), (544) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (572) all_266_4 = all_262_2
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_260_2, all_266_4, xm,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (536), (544) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (573) all_266_4 = all_260_2
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_252_2, all_266_4, xm,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (523), (544) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (574) all_266_4 = all_252_2
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_262_2, all_270_2, xm,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (539), (550) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (575) all_270_2 = all_262_2
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_270_2, all_272_8, xm,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (550), (554) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (576) all_272_8 = all_270_2
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_238_2, all_272_8, xm,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (503), (554) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (577) all_272_8 = all_238_2
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_262_1, all_266_2, xp,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (540), (545) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (578) all_266_2 = all_262_1
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_262_1, all_268_4, xp,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (540), (547) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (579) all_268_4 = all_262_1
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_268_4, all_270_4, xp,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (547), (551) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (580) all_270_4 = all_268_4
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_254_2, all_270_4, xp,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (526), (551) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (581) all_270_4 = all_254_2
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_262_1, all_272_6, xp,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (540), (555) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (582) all_272_6 = all_262_1
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_250_2, all_272_6, xp,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (521), (555) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (583) all_272_6 = all_250_2
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_274_8, xp,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (6), (557) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (584) all_274_8 = 0
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_268_4, all_274_8, xp,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (547), (557) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (585) all_274_8 = all_268_4
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_256_2, all_274_8, xp,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (530), (557) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (586) all_274_8 = all_256_2
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_266_2, all_274_6, xp,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (545), (558) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (587) all_274_6 = all_266_2
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_248_1, all_274_6, xp,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (517), (558) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (588) all_274_6 = all_248_1
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_238_1, all_242_1, xr,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (504), (507) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (589) all_242_1 = all_238_1
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_62_2, all_260_1, xr,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (88), (537) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (590) all_260_1 = all_62_2
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_258_2, all_260_1, xr,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (533), (537) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (591) all_260_1 = all_258_2
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_252_1, all_260_1, xr,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (524), (537) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (592) all_260_1 = all_252_1
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_244_2, all_260_1, xr,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (509), (537) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (593) all_260_1 = all_244_2
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_242_1, all_260_1, xr,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (507), (537) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (594) all_260_1 = all_242_1
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_246_0, all_44_0,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (471), (514) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (595) all_246_0 = 0
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_248_0, all_258_1,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_86_1, simplifying with (518), (534) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (596) all_258_1 = all_248_0
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_258_1, all_264_1,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_86_1, simplifying with (534), (542) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (597) all_264_1 = all_258_1
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_244_1, all_264_1,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_86_1, simplifying with (510), (542) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (598) all_264_1 = all_244_1
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_256_1, all_268_3,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_163_0, simplifying with (531), (548) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (599) all_268_3 = all_256_1
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_270_3, all_163_0,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (413), (552) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (600) all_270_3 = 0
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_268_3, all_270_3,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_163_0, simplifying with (548), (552) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (601) all_270_3 = all_268_3
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_274_7, all_199_0,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (459), (559) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (602) all_274_7 = 0
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_254_1, all_274_7,
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_199_0, simplifying with (527), (559) gives:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (603) all_274_7 = all_254_1
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (587), (588) imply:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (604) all_266_2 = all_248_1
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (604) implies:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (605) all_266_2 = all_248_1
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (602), (603) imply:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (606) all_254_1 = 0
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (586) imply:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (607) all_256_2 = 0
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (585), (586) imply:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (608) all_268_4 = all_256_2
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (608) implies:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (609) all_268_4 = all_256_2
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (583) imply:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (610) all_262_1 = all_250_2
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (610) implies:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (611) all_262_1 = all_250_2
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (576), (577) imply:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (612) all_270_2 = all_238_2
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (612) implies:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (613) all_270_2 = all_238_2
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (575), (613) imply:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (614) all_262_2 = all_238_2
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (614) implies:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (615) all_262_2 = all_238_2
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (601) imply:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (616) all_268_3 = 0
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (616) implies:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (617) all_268_3 = 0
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (580), (581) imply:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (618) all_268_4 = all_254_2
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (618) implies:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (619) all_268_4 = all_254_2
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (599), (617) imply:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (620) all_256_1 = 0
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (620) implies:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (621) all_256_1 = 0
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (579), (619) imply:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (622) all_262_1 = all_254_2
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (622) implies:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (623) all_262_1 = all_254_2
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (609), (619) imply:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (624) all_256_2 = all_254_2
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (624) implies:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (625) all_256_2 = all_254_2
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (605) imply:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (626) all_262_1 = all_248_1
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (626) implies:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (627) all_262_1 = all_248_1
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (573) imply:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (628) all_262_2 = all_260_2
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (628) implies:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (629) all_262_2 = all_260_2
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (573), (574) imply:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (630) all_260_2 = all_252_2
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (597), (598) imply:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (631) all_258_1 = all_244_1
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (631) implies:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (632) all_258_1 = all_244_1
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (611), (627) imply:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (633) all_250_2 = all_248_1
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (611), (623) imply:
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (634) all_254_2 = all_250_2
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (634) implies:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (635) all_254_2 = all_250_2
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (615), (629) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (636) all_260_2 = all_238_2
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (636) implies:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (637) all_260_2 = all_238_2
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (590), (591) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (638) all_258_2 = all_62_2
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (591), (593) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (639) all_258_2 = all_244_2
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (591), (592) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (640) all_258_2 = all_252_1
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (591), (594) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (641) all_258_2 = all_242_1
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (630), (637) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (642) all_252_2 = all_238_2
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (642) implies:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (643) all_252_2 = all_238_2
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (596), (632) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (644) all_248_0 = all_244_1
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (644) implies:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (645) all_248_0 = all_244_1
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (639), (640) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (646) all_252_1 = all_244_2
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (640), (641) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (647) all_252_1 = all_242_1
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (638), (640) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (648) all_252_1 = all_62_2
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (607), (625) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (649) all_254_2 = 0
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (649) implies:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (650) all_254_2 = 0
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (635), (650) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (651) all_250_2 = 0
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (651) implies:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (652) all_250_2 = 0
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (646), (648) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (653) all_244_2 = all_62_2
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (646), (647) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (654) all_244_2 = all_242_1
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (571), (643) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (655) all_248_2 = all_238_2
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (655) implies:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (656) all_248_2 = all_238_2
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (633), (652) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (657) all_248_1 = 0
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (657) implies:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (658) all_248_1 = 0
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (656) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (659) all_242_2 = all_238_2
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (659) implies:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (660) all_242_2 = all_238_2
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (653), (654) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (661) all_242_1 = all_62_2
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (661) implies:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (662) all_242_1 = all_62_2
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (662) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (663) all_238_1 = all_62_2
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (569), (660) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (664) all_238_2 = 0
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (664) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (665) all_248_2 = 0
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (490) gives:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (666) all_163_0 = xr
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (413), (666) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (667) aNaturalNumber0(xr) = 0
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (519) gives:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (668) ~ (all_248_1 = 0)
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (658), (668) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (669) $false
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (669) is inconsistent.
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (670) ~ (all_248_2 = 0) | all_248_0 = 0
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (670) gives:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (671) ~ (all_248_2 = 0)
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (671) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (672) $false
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (672) is inconsistent.
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (673) all_248_0 = 0
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (645), (673) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (674) all_244_1 = 0
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (528) gives:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (675) ~ (all_254_1 = 0)
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (606), (675) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (676) $false
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (676) is inconsistent.
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (677) ~ (all_254_2 = 0) | all_254_0 = all_40_0
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (677) gives:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (678) ~ (all_254_2 = 0)
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (650), (678) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (679) $false
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (679) is inconsistent.
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_62_2, 0, xr,
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (88), (667) gives:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (680) all_62_2 = 0
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (291), (680) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (681) all_88_4 = 0
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (680) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (682) all_92_8 = 0
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (653), (680) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (683) all_244_2 = 0
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (684) ~ (all_92_2 = 0)
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (685) ~ (all_88_2 = 0)
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (685) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (686) $false
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (686) is inconsistent.
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (687) ~ (all_88_3 = 0) | ~ (all_88_4 = 0) | all_88_0 =
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_44_2
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (687) gives:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (688) ~ (all_88_3 = 0)
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (688) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (689) $false
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (689) is inconsistent.
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (690) ~ (all_88_4 = 0) | all_88_0 = all_44_2
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (512) gives:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (691) ~ (all_244_1 = 0)
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (674), (691) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (692) $false
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (692) is inconsistent.
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (693) ~ (all_244_2 = 0) | all_244_0 = 0
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (693) gives:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (694) ~ (all_244_2 = 0)
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (694) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (695) $false
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (695) is inconsistent.
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (696) all_244_0 = 0
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (511), (696) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (697) aNaturalNumber0(all_88_0) = 0
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (690) gives:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (698) ~ (all_88_4 = 0)
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (698) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (699) $false
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (699) is inconsistent.
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (700) all_88_0 = all_44_2
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (697), (700) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (701) aNaturalNumber0(all_44_2) = 0
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (499) gives:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (702) all_92_2 = 0
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (702) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (703) $false
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (703) is inconsistent.
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (704) all_44_0 = all_44_2 | ? [v0: any] : ? [v1: any]
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | : ? [v2: any] : (sdtlseqdt0(all_44_2, all_44_0) =
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v2 & aNaturalNumber0(all_44_0) = v1 &
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_44_2) = v0 & ( ~ (v2 = 0) |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (704) gives:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (705) all_44_0 = all_44_2
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (705) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (706) $false
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (706) is inconsistent.
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (707) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtlseqdt0(all_44_2, all_44_0) = v2 &
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_44_0) = v1 &
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_44_2) = v0 & ( ~ (v2 = 0) |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (707) with fresh symbols all_576_0,
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_576_1, all_576_2 gives:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (708) sdtlseqdt0(all_44_2, all_44_0) = all_576_0 &
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_44_0) = all_576_1 &
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_44_2) = all_576_2 & ( ~
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_576_0 = 0) | ~ (all_576_1 = 0) | ~
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_576_2 = 0))
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (708) implies:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (709) aNaturalNumber0(all_44_2) = all_576_2
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (710) aNaturalNumber0(all_44_0) = all_576_1
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (711) sdtlseqdt0(all_44_2, all_44_0) = all_576_0
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (712) ~ (all_576_0 = 0) | ~ (all_576_1 = 0) | ~
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_576_2 = 0)
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_576_2, all_44_2,
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (701), (709) gives:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (713) all_576_2 = 0
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_576_1, all_44_0,
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (471), (710) gives:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (714) all_576_1 = 0
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with 0, all_576_0, all_44_0,
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_44_2, simplifying with (47), (711) gives:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (715) all_576_0 = 0
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (712) gives:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (716) ~ (all_576_0 = 0)
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (716) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (717) $false
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (717) is inconsistent.
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (718) ~ (all_576_1 = 0) | ~ (all_576_2 = 0)
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (718) gives:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (719) ~ (all_576_1 = 0)
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (719) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (720) $false
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (720) is inconsistent.
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (721) ~ (all_576_2 = 0)
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (713), (721) imply:
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (722) $false
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (722) is inconsistent.
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.91/7.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (723) ~ (all_92_5 = 0) | ~ (all_92_6 = 0) | ~
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_92_7 = 0) | ~ (all_92_8 = 0) | all_92_0 = 0
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_92_1 = 0
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (723) gives:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (724) ~ (all_92_5 = 0)
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (258), (724) imply:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (725) $false
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (725) is inconsistent.
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (726) ~ (all_92_6 = 0) | ~ (all_92_7 = 0) | ~
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_92_8 = 0) | all_92_0 = 0 | all_92_1 = 0
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (726) gives:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (727) ~ (all_92_6 = 0)
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (354), (727) imply:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (728) $false
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (728) is inconsistent.
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (729) ~ (all_92_7 = 0) | ~ (all_92_8 = 0) | all_92_0 =
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | all_92_1 = 0
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (729) gives:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (730) ~ (all_92_7 = 0)
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (353), (730) imply:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (731) $false
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (731) is inconsistent.
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (732) ~ (all_92_8 = 0) | all_92_0 = 0 | all_92_1 = 0
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (732) gives:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (733) ~ (all_92_8 = 0)
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (733) imply:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (734) $false
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (734) is inconsistent.
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (735) all_92_0 = 0 | all_92_1 = 0
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (735) gives:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (736) all_92_0 = 0
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (736) imply:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (737) all_42_0 = 0
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (737) implies:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (738) all_42_0 = 0
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (738) imply:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (739) $false
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (739) is inconsistent.
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (740) all_92_1 = 0
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (740) imply:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (741) all_42_1 = 0
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (741) implies:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (742) all_42_1 = 0
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (742) imply:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (743) $false
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (743) is inconsistent.
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (744) ? [v0: int] : ( ~ (v0 = 0) &
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_163_0) = v0)
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (744) with fresh symbol all_314_0
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (745) ~ (all_314_0 = 0) & aNaturalNumber0(all_163_0) =
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_314_0
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (745) implies:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (746) ~ (all_314_0 = 0)
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (747) aNaturalNumber0(all_163_0) = all_314_0
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_314_0, all_163_0,
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (413), (747) gives:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (748) all_314_0 = 0
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (748) imply:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (749) $false
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (749) is inconsistent.
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (750) all_175_0 = sz10 | ? [v0: int] : ( ~ (v0 = 0) &
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_175_0) = v0)
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (750) gives:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (751) all_175_0 = sz10
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (564), (751) imply:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (752) $false
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (752) is inconsistent.
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (753) ? [v0: int] : ( ~ (v0 = 0) &
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_175_0) = v0)
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (753) with fresh symbol all_279_0
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (754) ~ (all_279_0 = 0) & aNaturalNumber0(all_175_0) =
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_279_0
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (426), (754) are inconsistent by sub-proof
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1.
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | | |
% 37.91/7.02 | | | | | | | | | End of split
% 37.91/7.02 | | | | | | | | |
% 37.91/7.02 | | | | | | | | End of split
% 37.91/7.02 | | | | | | | |
% 37.91/7.03 | | | | | | | End of split
% 37.91/7.03 | | | | | | |
% 37.91/7.03 | | | | | | End of split
% 37.91/7.03 | | | | | |
% 37.91/7.03 | | | | | End of split
% 37.91/7.03 | | | | |
% 37.91/7.03 | | | | End of split
% 37.91/7.03 | | | |
% 37.91/7.03 | | | End of split
% 37.91/7.03 | | |
% 37.91/7.03 | | End of split
% 37.91/7.03 | |
% 37.91/7.03 | End of split
% 37.91/7.03 |
% 37.91/7.03 End of proof
% 37.91/7.03
% 37.91/7.03 Sub-proof #1 shows that the following formulas are inconsistent:
% 37.91/7.03 ----------------------------------------------------------------
% 37.91/7.03 (1) ~ (all_279_0 = 0) & aNaturalNumber0(all_175_0) = all_279_0
% 37.91/7.03 (2) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 37.91/7.03 (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) = v0))
% 37.91/7.03 (3) aNaturalNumber0(all_175_0) = 0
% 37.91/7.03
% 37.91/7.03 Begin of proof
% 37.91/7.03 |
% 37.91/7.03 | ALPHA: (1) implies:
% 37.91/7.03 | (4) ~ (all_279_0 = 0)
% 37.91/7.03 | (5) aNaturalNumber0(all_175_0) = all_279_0
% 37.91/7.03 |
% 37.91/7.03 | GROUND_INST: instantiating (2) with 0, all_279_0, all_175_0, simplifying with
% 37.91/7.03 | (3), (5) gives:
% 37.91/7.03 | (6) all_279_0 = 0
% 37.91/7.03 |
% 37.91/7.03 | REDUCE: (4), (6) imply:
% 37.91/7.03 | (7) $false
% 37.91/7.03 |
% 37.91/7.03 | CLOSE: (7) is inconsistent.
% 37.91/7.03 |
% 37.91/7.03 End of proof
% 37.91/7.03 % SZS output end Proof for theBenchmark
% 37.91/7.03
% 37.91/7.03 6395ms
%------------------------------------------------------------------------------