TSTP Solution File: NUM495+3 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : NUM495+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 11:48:09 EDT 2023
% Result : Theorem 16.64s 3.05s
% Output : Proof 284.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM495+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 11:05:23 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.65 ________ _____
% 0.21/0.65 ___ __ \_________(_)________________________________
% 0.21/0.65 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.65 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.65 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.65
% 0.21/0.65 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.65 (2023-06-19)
% 0.21/0.65
% 0.21/0.65 (c) Philipp Rümmer, 2009-2023
% 0.21/0.65 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.65 Amanda Stjerna.
% 0.21/0.65 Free software under BSD-3-Clause.
% 0.21/0.65
% 0.21/0.65 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.65
% 0.21/0.65 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.21/0.66 Running up to 7 provers in parallel.
% 0.21/0.68 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.68 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.68 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.68 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.68 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.68 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.68 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.68/1.30 Prover 4: Preprocessing ...
% 3.68/1.30 Prover 1: Preprocessing ...
% 3.68/1.34 Prover 6: Preprocessing ...
% 3.68/1.34 Prover 2: Preprocessing ...
% 3.68/1.34 Prover 5: Preprocessing ...
% 3.68/1.35 Prover 3: Preprocessing ...
% 4.22/1.36 Prover 0: Preprocessing ...
% 8.52/2.07 Prover 1: Constructing countermodel ...
% 10.12/2.14 Prover 3: Constructing countermodel ...
% 10.12/2.15 Prover 6: Proving ...
% 10.84/2.28 Prover 5: Constructing countermodel ...
% 12.42/2.42 Prover 2: Proving ...
% 12.42/2.51 Prover 4: Constructing countermodel ...
% 13.47/2.64 Prover 0: Proving ...
% 16.64/3.05 Prover 3: proved (2378ms)
% 16.64/3.05
% 16.64/3.05 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.64/3.05
% 16.64/3.05 Prover 5: stopped
% 17.38/3.06 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 17.38/3.06 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 17.38/3.06 Prover 2: stopped
% 17.38/3.08 Prover 0: stopped
% 17.38/3.09 Prover 6: stopped
% 17.66/3.10 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 17.66/3.10 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 17.66/3.10 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 17.66/3.13 Prover 7: Preprocessing ...
% 17.95/3.19 Prover 8: Preprocessing ...
% 17.95/3.23 Prover 10: Preprocessing ...
% 17.95/3.23 Prover 11: Preprocessing ...
% 18.40/3.24 Prover 13: Preprocessing ...
% 19.21/3.30 Prover 7: Constructing countermodel ...
% 19.66/3.38 Prover 8: Warning: ignoring some quantifiers
% 19.66/3.39 Prover 8: Constructing countermodel ...
% 19.66/3.41 Prover 10: Constructing countermodel ...
% 20.71/3.50 Prover 13: Constructing countermodel ...
% 21.99/3.73 Prover 11: Constructing countermodel ...
% 63.54/9.07 Prover 13: stopped
% 63.54/9.07 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 64.07/9.11 Prover 16: Preprocessing ...
% 64.91/9.21 Prover 16: Constructing countermodel ...
% 109.72/15.06 Prover 16: stopped
% 109.72/15.06 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 110.07/15.13 Prover 19: Preprocessing ...
% 111.69/15.36 Prover 19: Warning: ignoring some quantifiers
% 111.69/15.37 Prover 19: Constructing countermodel ...
% 117.22/16.03 Prover 1: stopped
% 137.26/18.83 Prover 19: stopped
% 223.49/30.82 Prover 7: stopped
% 282.96/39.50 Prover 8: Found proof (size 546)
% 282.96/39.50 Prover 8: proved (36298ms)
% 282.96/39.51 Prover 10: stopped
% 282.96/39.51 Prover 11: stopped
% 282.96/39.52 Prover 4: stopped
% 282.96/39.52
% 282.96/39.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 282.96/39.52
% 283.44/39.59 % SZS output start Proof for theBenchmark
% 283.44/39.59 Assumptions after simplification:
% 283.44/39.59 ---------------------------------
% 283.44/39.60
% 283.44/39.60 (mAddAsso)
% 283.53/39.63 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 283.53/39.63 (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1)
% 283.53/39.63 | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: $i] : ?
% 283.53/39.63 [v9: $i] : (sdtpldt0(v1, v2) = v8 & sdtpldt0(v0, v8) = v9 &
% 283.53/39.63 aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0)
% 283.53/39.63 = v5 & $i(v9) & $i(v8) & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 =
% 283.53/39.63 v4)))
% 283.53/39.63
% 283.53/39.63 (mAddComm)
% 283.53/39.63 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtpldt0(v0, v1) = v2) | ~
% 283.53/39.63 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] :
% 283.53/39.63 (sdtpldt0(v1, v0) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3
% 283.53/39.63 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2)))
% 283.53/39.63
% 283.53/39.63 (mDivTrans)
% 283.59/39.63 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 283.59/39.63 (doDivides0(v0, v2) = v3) | ~ (doDivides0(v0, v1) = 0) | ~ $i(v2) | ~
% 283.59/39.63 $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7:
% 283.59/39.63 any] : (doDivides0(v1, v2) = v7 & aNaturalNumber0(v2) = v6 &
% 283.59/39.63 aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v7 = 0) | ~
% 283.59/39.63 (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0))))
% 283.59/39.63
% 283.59/39.63 (mIH_03)
% 283.59/39.63 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | v1 = v0 | ~ (iLess0(v0,
% 283.59/39.63 v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ?
% 283.59/39.63 [v5: any] : (sdtlseqdt0(v0, v1) = v5 & aNaturalNumber0(v1) = v4 &
% 283.59/39.63 aNaturalNumber0(v0) = v3 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0))))
% 283.59/39.63
% 283.59/39.63 (mLEAsym)
% 283.59/39.64 ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (sdtlseqdt0(v0, v1) = 0) | ~ $i(v1)
% 283.59/39.64 | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] : (sdtlseqdt0(v1,
% 283.59/39.64 v0) = v4 & aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v4
% 283.59/39.64 = 0) | ~ (v3 = 0) | ~ (v2 = 0))))
% 283.59/39.64
% 283.59/39.64 (mMonAdd)
% 283.59/39.64 ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (sdtlseqdt0(v0, v1) = 0) | ~ $i(v1)
% 283.59/39.64 | ~ $i(v0) | ? [v2: any] : ? [v3: any] : (aNaturalNumber0(v1) = v3 &
% 283.59/39.64 aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))) | ! [v2: $i] : !
% 283.59/39.64 [v3: $i] : ! [v4: $i] : ! [v5: any] : ( ~ (sdtlseqdt0(v3, v4) = v5) | ~
% 283.59/39.64 (sdtpldt0(v1, v2) = v4) | ~ (sdtpldt0(v0, v2) = v3) | ~ $i(v2) | ? [v6:
% 283.59/39.64 any] : ? [v7: $i] : ? [v8: $i] : ? [v9: any] : (sdtlseqdt0(v7, v8) =
% 283.59/39.64 v9 & sdtpldt0(v2, v1) = v8 & sdtpldt0(v2, v0) = v7 & aNaturalNumber0(v2)
% 283.59/39.64 = v6 & $i(v8) & $i(v7) & ( ~ (v6 = 0) | (v9 = 0 & v5 = 0 & ~ (v8 = v7)
% 283.59/39.64 & ~ (v4 = v3))))))
% 283.59/39.64
% 283.59/39.64 (mMulComm)
% 283.59/39.64 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) | ~
% 283.59/39.64 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] :
% 283.59/39.64 (sdtasdt0(v1, v0) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3
% 283.59/39.64 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2)))
% 283.59/39.64
% 283.59/39.64 (mPrimDiv)
% 283.59/39.64 $i(sz10) & $i(sz00) & ! [v0: $i] : (v0 = sz10 | v0 = sz00 | ~
% 283.59/39.64 (aNaturalNumber0(v0) = 0) | ~ $i(v0) | ? [v1: $i] : (isPrime0(v1) = 0 &
% 283.59/39.64 doDivides0(v1, v0) = 0 & aNaturalNumber0(v1) = 0 & $i(v1)))
% 283.59/39.64
% 283.59/39.64 (mSortsB)
% 283.59/39.64 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtpldt0(v0, v1) = v2) | ~
% 283.59/39.64 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 283.59/39.64 (aNaturalNumber0(v2) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) =
% 283.59/39.64 v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 283.59/39.64
% 283.59/39.64 (mSortsB_02)
% 283.59/39.65 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) | ~
% 283.59/39.65 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 283.59/39.65 (aNaturalNumber0(v2) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) =
% 283.59/39.65 v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 283.59/39.65
% 283.59/39.65 (m__)
% 283.59/39.65 $i(xr) & $i(xp) & $i(xm) & ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~ (v0
% 283.59/39.65 = 0) & doDivides0(xp, xr) = v0 & doDivides0(xp, xm) = v1 & ! [v2: $i] : (
% 283.59/39.65 ~ (sdtasdt0(xp, v2) = xr) | ~ $i(v2) | ? [v3: int] : ( ~ (v3 = 0) &
% 283.59/39.65 aNaturalNumber0(v2) = v3)) & ! [v2: $i] : ( ~ (sdtasdt0(xp, v2) = xm) |
% 283.59/39.65 ~ $i(v2) | ? [v3: int] : ( ~ (v3 = 0) & aNaturalNumber0(v2) = v3)))
% 283.59/39.65
% 283.59/39.65 (m__1799)
% 283.59/39.65 $i(xp) & $i(xm) & $i(xn) & $i(sz10) & $i(sz00) & ? [v0: $i] : ? [v1: $i] :
% 283.59/39.65 (sdtpldt0(v0, xp) = v1 & sdtpldt0(xn, xm) = v0 & $i(v1) & $i(v0) & ! [v2: $i]
% 283.59/39.65 : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: any] : ( ~
% 283.59/39.65 (doDivides0(v4, v5) = v6) | ~ (sdtasdt0(v2, v3) = v5) | ~ $i(v4) | ~
% 283.59/39.65 $i(v3) | ~ $i(v2) | ? [v7: any] : ? [v8: any] : ? [v9: any] : ? [v10:
% 283.59/39.65 any] : ? [v11: $i] : ? [v12: $i] : ? [v13: any] : ? [v14: any] : ?
% 283.59/39.65 [v15: any] : (isPrime0(v4) = v10 & doDivides0(v4, v3) = v15 &
% 283.59/39.65 doDivides0(v4, v2) = v14 & iLess0(v12, v1) = v13 & sdtpldt0(v11, v4) =
% 283.59/39.65 v12 & sdtpldt0(v2, v3) = v11 & aNaturalNumber0(v4) = v9 &
% 283.59/39.65 aNaturalNumber0(v3) = v8 & aNaturalNumber0(v2) = v7 & $i(v12) & $i(v11)
% 283.59/39.65 & ( ~ (v13 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | (v15 = 0 &
% 283.59/39.65 ? [v16: $i] : (sdtasdt0(v4, v16) = v3 & aNaturalNumber0(v16) = 0 &
% 283.59/39.65 $i(v16))) | (v14 = 0 & ? [v16: $i] : (sdtasdt0(v4, v16) = v2 &
% 283.59/39.65 aNaturalNumber0(v16) = 0 & $i(v16))) | ( ~ (v10 = 0) & (v4 = sz10
% 283.59/39.65 | v4 = sz00 | ? [v16: $i] : ( ~ (v16 = v4) & ~ (v16 = sz10) &
% 283.59/39.65 doDivides0(v16, v4) = 0 & aNaturalNumber0(v16) = 0 & $i(v16) &
% 283.59/39.65 ? [v17: $i] : (sdtasdt0(v16, v17) = v4 & aNaturalNumber0(v17) =
% 283.59/39.65 0 & $i(v17))))))) | ( ~ (v6 = 0) & ! [v7: $i] : ( ~
% 283.59/39.65 (sdtasdt0(v4, v7) = v5) | ~ $i(v7) | ? [v8: int] : ( ~ (v8 = 0) &
% 283.59/39.65 aNaturalNumber0(v7) = v8)))))
% 283.59/39.65
% 283.59/39.65 (m__1837)
% 283.59/39.65 aNaturalNumber0(xp) = 0 & aNaturalNumber0(xm) = 0 & aNaturalNumber0(xn) = 0 &
% 283.59/39.65 $i(xp) & $i(xm) & $i(xn)
% 283.59/39.65
% 283.59/39.65 (m__1860)
% 283.59/39.66 $i(xp) & $i(xm) & $i(xn) & $i(sz10) & $i(sz00) & ? [v0: $i] : ( ~ (xp = sz10)
% 283.59/39.66 & ~ (xp = sz00) & isPrime0(xp) = 0 & doDivides0(xp, v0) = 0 & sdtasdt0(xn,
% 283.59/39.66 xm) = v0 & $i(v0) & ! [v1: $i] : ! [v2: any] : (v1 = xp | v1 = sz10 | ~
% 283.59/39.66 (doDivides0(v1, xp) = v2) | ~ $i(v1) | ? [v3: int] : ( ~ (v3 = 0) &
% 283.59/39.66 aNaturalNumber0(v1) = v3) | ( ~ (v2 = 0) & ! [v3: $i] : ( ~
% 283.59/39.66 (sdtasdt0(v1, v3) = xp) | ~ $i(v3) | ? [v4: int] : ( ~ (v4 = 0) &
% 283.59/39.66 aNaturalNumber0(v3) = v4)))) & ? [v1: $i] : (sdtasdt0(xp, v1) = v0
% 283.59/39.66 & aNaturalNumber0(v1) = 0 & $i(v1)))
% 283.59/39.66
% 283.59/39.66 (m__1870)
% 283.59/39.66 sdtlseqdt0(xp, xn) = 0 & $i(xp) & $i(xn) & ? [v0: $i] : (sdtpldt0(xp, v0) =
% 283.59/39.66 xn & aNaturalNumber0(v0) = 0 & $i(v0))
% 283.59/39.66
% 283.59/39.66 (m__1883)
% 283.59/39.66 sdtmndt0(xn, xp) = xr & sdtpldt0(xp, xr) = xn & aNaturalNumber0(xr) = 0 &
% 283.59/39.66 $i(xr) & $i(xp) & $i(xn)
% 283.59/39.66
% 283.59/39.66 (m__1894)
% 283.59/39.66 ~ (xr = xn) & sdtlseqdt0(xr, xn) = 0 & $i(xr) & $i(xn) & ? [v0: $i] :
% 283.59/39.66 (sdtpldt0(xr, v0) = xn & aNaturalNumber0(v0) = 0 & $i(v0))
% 283.59/39.66
% 283.59/39.66 (m__1913)
% 283.59/39.66 $i(xr) & $i(xp) & $i(xm) & ? [v0: $i] : (doDivides0(xp, v0) = 0 &
% 283.59/39.66 sdtasdt0(xr, xm) = v0 & $i(v0) & ? [v1: $i] : (sdtasdt0(xp, v1) = v0 &
% 283.59/39.66 aNaturalNumber0(v1) = 0 & $i(v1)))
% 283.59/39.66
% 283.59/39.66 (m__2062)
% 283.59/39.66 $i(xr) & $i(xp) & $i(xm) & $i(xn) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 283.59/39.66 ? [v3: $i] : ( ~ (v3 = v1) & sdtlseqdt0(v1, v3) = 0 & sdtpldt0(v2, xp) = v3 &
% 283.59/39.66 sdtpldt0(v0, xp) = v1 & sdtpldt0(xr, xm) = v0 & sdtpldt0(xn, xm) = v2 &
% 283.59/39.66 $i(v3) & $i(v2) & $i(v1) & $i(v0) & ? [v4: $i] : (sdtpldt0(v1, v4) = v3 &
% 283.59/39.66 aNaturalNumber0(v4) = 0 & $i(v4)))
% 283.59/39.66
% 283.59/39.66 (function-axioms)
% 283.59/39.67 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 283.59/39.67 (sdtsldt0(v3, v2) = v1) | ~ (sdtsldt0(v3, v2) = v0)) & ! [v0:
% 283.59/39.67 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 283.59/39.67 : (v1 = v0 | ~ (doDivides0(v3, v2) = v1) | ~ (doDivides0(v3, v2) = v0)) & !
% 283.59/39.67 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 283.59/39.67 $i] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0)) & !
% 283.59/39.67 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 283.59/39.67 (sdtmndt0(v3, v2) = v1) | ~ (sdtmndt0(v3, v2) = v0)) & ! [v0:
% 283.59/39.67 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 283.59/39.67 : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~ (sdtlseqdt0(v3, v2) = v0)) & !
% 283.59/39.67 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 283.59/39.67 (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0)) & ! [v0: $i] : !
% 283.59/39.67 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) |
% 283.59/39.67 ~ (sdtpldt0(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 283.59/39.67 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (isPrime0(v2) = v1) | ~
% 283.59/39.67 (isPrime0(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 283.59/39.67 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1)
% 283.59/39.67 | ~ (aNaturalNumber0(v2) = v0)) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 283.59/39.67 MultipleValueBool] : (doDivides0(v1, v0) = v2) & ? [v0: $i] : ? [v1: $i] :
% 283.59/39.67 ? [v2: MultipleValueBool] : (iLess0(v1, v0) = v2) & ? [v0: $i] : ? [v1: $i]
% 283.59/39.67 : ? [v2: MultipleValueBool] : (sdtlseqdt0(v1, v0) = v2) & ? [v0: $i] : ?
% 283.59/39.67 [v1: $i] : ? [v2: $i] : (sdtsldt0(v1, v0) = v2 & $i(v2)) & ? [v0: $i] : ?
% 283.59/39.67 [v1: $i] : ? [v2: $i] : (sdtmndt0(v1, v0) = v2 & $i(v2)) & ? [v0: $i] : ?
% 283.59/39.67 [v1: $i] : ? [v2: $i] : (sdtasdt0(v1, v0) = v2 & $i(v2)) & ? [v0: $i] : ?
% 283.59/39.67 [v1: $i] : ? [v2: $i] : (sdtpldt0(v1, v0) = v2 & $i(v2)) & ? [v0: $i] : ?
% 283.59/39.67 [v1: MultipleValueBool] : (isPrime0(v0) = v1) & ? [v0: $i] : ? [v1:
% 283.59/39.67 MultipleValueBool] : (aNaturalNumber0(v0) = v1)
% 283.59/39.67
% 283.59/39.67 Further assumptions not needed in the proof:
% 283.59/39.67 --------------------------------------------
% 283.59/39.67 mAMDistr, mAddCanc, mDefDiff, mDefDiv, mDefLE, mDefPrime, mDefQuot, mDivAsso,
% 283.59/39.67 mDivLE, mDivMin, mDivSum, mIH, mLENTr, mLERefl, mLETotal, mLETran, mMonMul,
% 283.59/39.67 mMonMul2, mMulAsso, mMulCanc, mNatSort, mSortsC, mSortsC_01, mZeroAdd, mZeroMul,
% 283.59/39.67 m_AddZero, m_MulUnit, m_MulZero
% 283.59/39.67
% 283.59/39.67 Those formulas are unsatisfiable:
% 283.59/39.67 ---------------------------------
% 283.59/39.67
% 283.59/39.67 Begin of proof
% 283.59/39.67 |
% 283.59/39.67 | ALPHA: (mPrimDiv) implies:
% 283.59/39.67 | (1) ! [v0: $i] : (v0 = sz10 | v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) |
% 283.59/39.67 | ~ $i(v0) | ? [v1: $i] : (isPrime0(v1) = 0 & doDivides0(v1, v0) = 0 &
% 283.59/39.67 | aNaturalNumber0(v1) = 0 & $i(v1)))
% 283.59/39.67 |
% 283.59/39.67 | ALPHA: (m__1837) implies:
% 283.59/39.67 | (2) aNaturalNumber0(xn) = 0
% 283.59/39.67 | (3) aNaturalNumber0(xm) = 0
% 283.59/39.67 | (4) aNaturalNumber0(xp) = 0
% 283.59/39.67 |
% 283.59/39.67 | ALPHA: (m__1799) implies:
% 283.59/39.68 | (5) ? [v0: $i] : ? [v1: $i] : (sdtpldt0(v0, xp) = v1 & sdtpldt0(xn, xm) =
% 283.59/39.68 | v0 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 283.59/39.68 | [v5: $i] : ! [v6: any] : ( ~ (doDivides0(v4, v5) = v6) | ~
% 283.59/39.68 | (sdtasdt0(v2, v3) = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ?
% 283.59/39.68 | [v7: any] : ? [v8: any] : ? [v9: any] : ? [v10: any] : ? [v11:
% 283.59/39.68 | $i] : ? [v12: $i] : ? [v13: any] : ? [v14: any] : ? [v15:
% 283.59/39.68 | any] : (isPrime0(v4) = v10 & doDivides0(v4, v3) = v15 &
% 283.59/39.68 | doDivides0(v4, v2) = v14 & iLess0(v12, v1) = v13 & sdtpldt0(v11,
% 283.59/39.68 | v4) = v12 & sdtpldt0(v2, v3) = v11 & aNaturalNumber0(v4) = v9 &
% 283.59/39.68 | aNaturalNumber0(v3) = v8 & aNaturalNumber0(v2) = v7 & $i(v12) &
% 283.59/39.68 | $i(v11) & ( ~ (v13 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0)
% 283.59/39.68 | | (v15 = 0 & ? [v16: $i] : (sdtasdt0(v4, v16) = v3 &
% 283.59/39.68 | aNaturalNumber0(v16) = 0 & $i(v16))) | (v14 = 0 & ? [v16:
% 283.59/39.68 | $i] : (sdtasdt0(v4, v16) = v2 & aNaturalNumber0(v16) = 0 &
% 283.59/39.68 | $i(v16))) | ( ~ (v10 = 0) & (v4 = sz10 | v4 = sz00 | ?
% 283.59/39.68 | [v16: $i] : ( ~ (v16 = v4) & ~ (v16 = sz10) &
% 283.59/39.68 | doDivides0(v16, v4) = 0 & aNaturalNumber0(v16) = 0 &
% 283.59/39.68 | $i(v16) & ? [v17: $i] : (sdtasdt0(v16, v17) = v4 &
% 283.59/39.68 | aNaturalNumber0(v17) = 0 & $i(v17))))))) | ( ~ (v6 = 0)
% 283.59/39.68 | & ! [v7: $i] : ( ~ (sdtasdt0(v4, v7) = v5) | ~ $i(v7) | ? [v8:
% 283.59/39.68 | int] : ( ~ (v8 = 0) & aNaturalNumber0(v7) = v8)))))
% 283.59/39.68 |
% 283.59/39.68 | ALPHA: (m__1860) implies:
% 283.59/39.68 | (6) ? [v0: $i] : ( ~ (xp = sz10) & ~ (xp = sz00) & isPrime0(xp) = 0 &
% 283.59/39.68 | doDivides0(xp, v0) = 0 & sdtasdt0(xn, xm) = v0 & $i(v0) & ! [v1: $i]
% 283.59/39.68 | : ! [v2: any] : (v1 = xp | v1 = sz10 | ~ (doDivides0(v1, xp) = v2)
% 283.59/39.68 | | ~ $i(v1) | ? [v3: int] : ( ~ (v3 = 0) & aNaturalNumber0(v1) =
% 283.59/39.68 | v3) | ( ~ (v2 = 0) & ! [v3: $i] : ( ~ (sdtasdt0(v1, v3) = xp) |
% 283.59/39.68 | ~ $i(v3) | ? [v4: int] : ( ~ (v4 = 0) & aNaturalNumber0(v3) =
% 283.59/39.68 | v4)))) & ? [v1: $i] : (sdtasdt0(xp, v1) = v0 &
% 283.59/39.68 | aNaturalNumber0(v1) = 0 & $i(v1)))
% 283.59/39.68 |
% 283.59/39.68 | ALPHA: (m__1870) implies:
% 283.59/39.68 | (7) ? [v0: $i] : (sdtpldt0(xp, v0) = xn & aNaturalNumber0(v0) = 0 &
% 283.59/39.68 | $i(v0))
% 283.59/39.68 |
% 283.59/39.68 | ALPHA: (m__1883) implies:
% 283.59/39.68 | (8) aNaturalNumber0(xr) = 0
% 283.59/39.68 | (9) sdtpldt0(xp, xr) = xn
% 283.59/39.68 |
% 283.59/39.68 | ALPHA: (m__1894) implies:
% 283.59/39.68 | (10) ~ (xr = xn)
% 283.59/39.68 | (11) sdtlseqdt0(xr, xn) = 0
% 283.59/39.68 | (12) ? [v0: $i] : (sdtpldt0(xr, v0) = xn & aNaturalNumber0(v0) = 0 &
% 283.59/39.68 | $i(v0))
% 283.59/39.68 |
% 283.59/39.68 | ALPHA: (m__1913) implies:
% 283.59/39.68 | (13) ? [v0: $i] : (doDivides0(xp, v0) = 0 & sdtasdt0(xr, xm) = v0 & $i(v0)
% 283.59/39.68 | & ? [v1: $i] : (sdtasdt0(xp, v1) = v0 & aNaturalNumber0(v1) = 0 &
% 283.59/39.68 | $i(v1)))
% 283.59/39.68 |
% 283.59/39.68 | ALPHA: (m__2062) implies:
% 283.59/39.68 | (14) $i(xn)
% 283.59/39.68 | (15) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ( ~ (v3 = v1)
% 283.59/39.68 | & sdtlseqdt0(v1, v3) = 0 & sdtpldt0(v2, xp) = v3 & sdtpldt0(v0, xp)
% 283.59/39.68 | = v1 & sdtpldt0(xr, xm) = v0 & sdtpldt0(xn, xm) = v2 & $i(v3) &
% 283.59/39.68 | $i(v2) & $i(v1) & $i(v0) & ? [v4: $i] : (sdtpldt0(v1, v4) = v3 &
% 283.59/39.68 | aNaturalNumber0(v4) = 0 & $i(v4)))
% 283.59/39.68 |
% 283.59/39.68 | ALPHA: (m__) implies:
% 283.59/39.68 | (16) $i(xm)
% 283.59/39.68 | (17) $i(xp)
% 283.59/39.68 | (18) $i(xr)
% 283.59/39.68 | (19) ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~ (v0 = 0) &
% 283.59/39.68 | doDivides0(xp, xr) = v0 & doDivides0(xp, xm) = v1 & ! [v2: $i] : (
% 283.59/39.68 | ~ (sdtasdt0(xp, v2) = xr) | ~ $i(v2) | ? [v3: int] : ( ~ (v3 =
% 283.59/39.68 | 0) & aNaturalNumber0(v2) = v3)) & ! [v2: $i] : ( ~
% 283.59/39.68 | (sdtasdt0(xp, v2) = xm) | ~ $i(v2) | ? [v3: int] : ( ~ (v3 = 0)
% 283.59/39.68 | & aNaturalNumber0(v2) = v3)))
% 283.59/39.68 |
% 283.59/39.68 | ALPHA: (function-axioms) implies:
% 283.59/39.68 | (20) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 283.59/39.68 | : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) =
% 283.59/39.68 | v0))
% 283.59/39.68 | (21) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 283.59/39.68 | : (v1 = v0 | ~ (isPrime0(v2) = v1) | ~ (isPrime0(v2) = v0))
% 283.59/39.69 | (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 283.59/39.69 | (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0))
% 283.59/39.69 | (23) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 283.59/39.69 | : ! [v3: $i] : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~
% 283.59/39.69 | (sdtlseqdt0(v3, v2) = v0))
% 283.59/39.69 | (24) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 283.59/39.69 | : ! [v3: $i] : (v1 = v0 | ~ (doDivides0(v3, v2) = v1) | ~
% 283.59/39.69 | (doDivides0(v3, v2) = v0))
% 283.59/39.69 |
% 283.59/39.69 | DELTA: instantiating (12) with fresh symbol all_56_0 gives:
% 283.59/39.69 | (25) sdtpldt0(xr, all_56_0) = xn & aNaturalNumber0(all_56_0) = 0 &
% 283.59/39.69 | $i(all_56_0)
% 283.59/39.69 |
% 283.59/39.69 | ALPHA: (25) implies:
% 283.59/39.69 | (26) $i(all_56_0)
% 283.59/39.69 | (27) sdtpldt0(xr, all_56_0) = xn
% 283.59/39.69 |
% 283.59/39.69 | DELTA: instantiating (7) with fresh symbol all_58_0 gives:
% 283.59/39.69 | (28) sdtpldt0(xp, all_58_0) = xn & aNaturalNumber0(all_58_0) = 0 &
% 283.59/39.69 | $i(all_58_0)
% 283.59/39.69 |
% 283.59/39.69 | ALPHA: (28) implies:
% 283.59/39.69 | (29) $i(all_58_0)
% 283.59/39.69 | (30) sdtpldt0(xp, all_58_0) = xn
% 283.59/39.69 |
% 283.59/39.69 | DELTA: instantiating (13) with fresh symbol all_60_0 gives:
% 283.59/39.69 | (31) doDivides0(xp, all_60_0) = 0 & sdtasdt0(xr, xm) = all_60_0 &
% 283.59/39.69 | $i(all_60_0) & ? [v0: $i] : (sdtasdt0(xp, v0) = all_60_0 &
% 283.59/39.69 | aNaturalNumber0(v0) = 0 & $i(v0))
% 283.59/39.69 |
% 283.59/39.69 | ALPHA: (31) implies:
% 283.59/39.69 | (32) $i(all_60_0)
% 283.59/39.69 | (33) sdtasdt0(xr, xm) = all_60_0
% 283.59/39.69 | (34) doDivides0(xp, all_60_0) = 0
% 283.59/39.69 | (35) ? [v0: $i] : (sdtasdt0(xp, v0) = all_60_0 & aNaturalNumber0(v0) = 0 &
% 283.59/39.69 | $i(v0))
% 283.59/39.69 |
% 283.59/39.69 | DELTA: instantiating (19) with fresh symbols all_62_0, all_62_1 gives:
% 283.59/39.69 | (36) ~ (all_62_0 = 0) & ~ (all_62_1 = 0) & doDivides0(xp, xr) = all_62_1
% 283.59/39.69 | & doDivides0(xp, xm) = all_62_0 & ! [v0: $i] : ( ~ (sdtasdt0(xp, v0)
% 283.59/39.69 | = xr) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 283.59/39.69 | aNaturalNumber0(v0) = v1)) & ! [v0: $i] : ( ~ (sdtasdt0(xp, v0) =
% 283.59/39.69 | xm) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 283.59/39.69 | aNaturalNumber0(v0) = v1))
% 283.59/39.69 |
% 283.59/39.69 | ALPHA: (36) implies:
% 283.59/39.69 | (37) ~ (all_62_1 = 0)
% 283.59/39.69 | (38) ~ (all_62_0 = 0)
% 283.59/39.69 | (39) doDivides0(xp, xm) = all_62_0
% 283.59/39.69 | (40) doDivides0(xp, xr) = all_62_1
% 283.59/39.69 |
% 283.59/39.69 | DELTA: instantiating (15) with fresh symbols all_65_0, all_65_1, all_65_2,
% 283.59/39.69 | all_65_3 gives:
% 283.59/39.69 | (41) ~ (all_65_0 = all_65_2) & sdtlseqdt0(all_65_2, all_65_0) = 0 &
% 283.59/39.69 | sdtpldt0(all_65_1, xp) = all_65_0 & sdtpldt0(all_65_3, xp) = all_65_2
% 283.59/39.69 | & sdtpldt0(xr, xm) = all_65_3 & sdtpldt0(xn, xm) = all_65_1 &
% 283.59/39.69 | $i(all_65_0) & $i(all_65_1) & $i(all_65_2) & $i(all_65_3) & ? [v0:
% 283.59/39.69 | $i] : (sdtpldt0(all_65_2, v0) = all_65_0 & aNaturalNumber0(v0) = 0 &
% 283.59/39.69 | $i(v0))
% 283.59/39.69 |
% 283.59/39.69 | ALPHA: (41) implies:
% 283.59/39.69 | (42) ~ (all_65_0 = all_65_2)
% 283.59/39.69 | (43) $i(all_65_3)
% 283.59/39.69 | (44) $i(all_65_2)
% 283.59/39.69 | (45) sdtpldt0(xn, xm) = all_65_1
% 283.59/39.69 | (46) sdtpldt0(xr, xm) = all_65_3
% 283.59/39.69 | (47) sdtpldt0(all_65_3, xp) = all_65_2
% 283.59/39.69 | (48) sdtpldt0(all_65_1, xp) = all_65_0
% 283.59/39.70 | (49) sdtlseqdt0(all_65_2, all_65_0) = 0
% 283.59/39.70 | (50) ? [v0: $i] : (sdtpldt0(all_65_2, v0) = all_65_0 & aNaturalNumber0(v0)
% 283.59/39.70 | = 0 & $i(v0))
% 283.59/39.70 |
% 283.59/39.70 | DELTA: instantiating (6) with fresh symbol all_67_0 gives:
% 283.59/39.70 | (51) ~ (xp = sz10) & ~ (xp = sz00) & isPrime0(xp) = 0 & doDivides0(xp,
% 283.59/39.70 | all_67_0) = 0 & sdtasdt0(xn, xm) = all_67_0 & $i(all_67_0) & ! [v0:
% 283.59/39.70 | $i] : ! [v1: any] : (v0 = xp | v0 = sz10 | ~ (doDivides0(v0, xp) =
% 283.59/39.70 | v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) &
% 283.59/39.70 | aNaturalNumber0(v0) = v2) | ( ~ (v1 = 0) & ! [v2: $i] : ( ~
% 283.59/39.70 | (sdtasdt0(v0, v2) = xp) | ~ $i(v2) | ? [v3: int] : ( ~ (v3 =
% 283.59/39.70 | 0) & aNaturalNumber0(v2) = v3)))) & ? [v0: $i] :
% 283.59/39.70 | (sdtasdt0(xp, v0) = all_67_0 & aNaturalNumber0(v0) = 0 & $i(v0))
% 283.59/39.70 |
% 283.59/39.70 | ALPHA: (51) implies:
% 283.59/39.70 | (52) ~ (xp = sz00)
% 283.59/39.70 | (53) ~ (xp = sz10)
% 283.59/39.70 | (54) $i(all_67_0)
% 283.59/39.70 | (55) sdtasdt0(xn, xm) = all_67_0
% 283.59/39.70 | (56) doDivides0(xp, all_67_0) = 0
% 283.59/39.70 | (57) isPrime0(xp) = 0
% 283.59/39.70 | (58) ? [v0: $i] : (sdtasdt0(xp, v0) = all_67_0 & aNaturalNumber0(v0) = 0 &
% 283.59/39.70 | $i(v0))
% 283.59/39.70 |
% 283.59/39.70 | DELTA: instantiating (5) with fresh symbols all_70_0, all_70_1 gives:
% 283.59/39.70 | (59) sdtpldt0(all_70_1, xp) = all_70_0 & sdtpldt0(xn, xm) = all_70_1 &
% 283.59/39.70 | $i(all_70_0) & $i(all_70_1) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 283.59/39.70 | : ! [v3: $i] : ! [v4: any] : ( ~ (doDivides0(v2, v3) = v4) | ~
% 283.59/39.70 | (sdtasdt0(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 283.59/39.70 | [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: $i]
% 283.59/39.70 | : ? [v10: $i] : ? [v11: any] : ? [v12: any] : ? [v13: any] :
% 283.59/39.70 | (isPrime0(v2) = v8 & doDivides0(v2, v1) = v13 & doDivides0(v2, v0) =
% 283.59/39.70 | v12 & iLess0(v10, all_70_0) = v11 & sdtpldt0(v9, v2) = v10 &
% 283.59/39.70 | sdtpldt0(v0, v1) = v9 & aNaturalNumber0(v2) = v7 &
% 283.59/39.70 | aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0) = v5 & $i(v10) &
% 283.59/39.70 | $i(v9) & ( ~ (v11 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) |
% 283.59/39.70 | (v13 = 0 & ? [v14: $i] : (sdtasdt0(v2, v14) = v1 &
% 283.59/39.70 | aNaturalNumber0(v14) = 0 & $i(v14))) | (v12 = 0 & ? [v14:
% 283.59/39.70 | $i] : (sdtasdt0(v2, v14) = v0 & aNaturalNumber0(v14) = 0 &
% 283.59/39.70 | $i(v14))) | ( ~ (v8 = 0) & (v2 = sz10 | v2 = sz00 | ? [v14:
% 283.59/39.70 | $i] : ( ~ (v14 = v2) & ~ (v14 = sz10) & doDivides0(v14,
% 283.59/39.70 | v2) = 0 & aNaturalNumber0(v14) = 0 & $i(v14) & ? [v15:
% 283.59/39.70 | $i] : (sdtasdt0(v14, v15) = v2 & aNaturalNumber0(v15) =
% 283.59/39.70 | 0 & $i(v15))))))) | ( ~ (v4 = 0) & ! [v5: $i] : ( ~
% 283.59/39.70 | (sdtasdt0(v2, v5) = v3) | ~ $i(v5) | ? [v6: int] : ( ~ (v6 =
% 283.59/39.70 | 0) & aNaturalNumber0(v5) = v6))))
% 283.59/39.70 |
% 283.59/39.70 | ALPHA: (59) implies:
% 283.59/39.70 | (60) $i(all_70_1)
% 283.59/39.70 | (61) $i(all_70_0)
% 283.59/39.70 | (62) sdtpldt0(xn, xm) = all_70_1
% 283.59/39.70 | (63) sdtpldt0(all_70_1, xp) = all_70_0
% 283.59/39.71 | (64) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: any] :
% 283.59/39.71 | ( ~ (doDivides0(v2, v3) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ $i(v2)
% 283.59/39.71 | | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any]
% 283.59/39.71 | : ? [v8: any] : ? [v9: $i] : ? [v10: $i] : ? [v11: any] : ?
% 283.59/39.71 | [v12: any] : ? [v13: any] : (isPrime0(v2) = v8 & doDivides0(v2, v1)
% 283.59/39.71 | = v13 & doDivides0(v2, v0) = v12 & iLess0(v10, all_70_0) = v11 &
% 283.59/39.71 | sdtpldt0(v9, v2) = v10 & sdtpldt0(v0, v1) = v9 &
% 283.59/39.71 | aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 &
% 283.59/39.71 | aNaturalNumber0(v0) = v5 & $i(v10) & $i(v9) & ( ~ (v11 = 0) | ~
% 283.59/39.71 | (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | (v13 = 0 & ? [v14: $i] :
% 283.59/39.71 | (sdtasdt0(v2, v14) = v1 & aNaturalNumber0(v14) = 0 & $i(v14)))
% 283.59/39.71 | | (v12 = 0 & ? [v14: $i] : (sdtasdt0(v2, v14) = v0 &
% 283.59/39.71 | aNaturalNumber0(v14) = 0 & $i(v14))) | ( ~ (v8 = 0) & (v2 =
% 283.59/39.71 | sz10 | v2 = sz00 | ? [v14: $i] : ( ~ (v14 = v2) & ~ (v14 =
% 283.59/39.71 | sz10) & doDivides0(v14, v2) = 0 & aNaturalNumber0(v14) =
% 283.59/39.71 | 0 & $i(v14) & ? [v15: $i] : (sdtasdt0(v14, v15) = v2 &
% 283.59/39.71 | aNaturalNumber0(v15) = 0 & $i(v15))))))) | ( ~ (v4 = 0)
% 283.59/39.71 | & ! [v5: $i] : ( ~ (sdtasdt0(v2, v5) = v3) | ~ $i(v5) | ? [v6:
% 283.59/39.71 | int] : ( ~ (v6 = 0) & aNaturalNumber0(v5) = v6))))
% 283.59/39.71 |
% 283.59/39.71 | DELTA: instantiating (35) with fresh symbol all_73_0 gives:
% 283.59/39.71 | (65) sdtasdt0(xp, all_73_0) = all_60_0 & aNaturalNumber0(all_73_0) = 0 &
% 283.59/39.71 | $i(all_73_0)
% 283.59/39.71 |
% 283.59/39.71 | ALPHA: (65) implies:
% 283.59/39.71 | (66) $i(all_73_0)
% 283.59/39.71 | (67) sdtasdt0(xp, all_73_0) = all_60_0
% 283.59/39.71 |
% 283.59/39.71 | DELTA: instantiating (50) with fresh symbol all_75_0 gives:
% 283.59/39.71 | (68) sdtpldt0(all_65_2, all_75_0) = all_65_0 & aNaturalNumber0(all_75_0) =
% 283.59/39.71 | 0 & $i(all_75_0)
% 283.59/39.71 |
% 283.59/39.71 | ALPHA: (68) implies:
% 283.59/39.71 | (69) $i(all_75_0)
% 283.59/39.71 | (70) aNaturalNumber0(all_75_0) = 0
% 283.59/39.71 | (71) sdtpldt0(all_65_2, all_75_0) = all_65_0
% 283.59/39.71 |
% 283.59/39.71 | DELTA: instantiating (58) with fresh symbol all_77_0 gives:
% 283.59/39.71 | (72) sdtasdt0(xp, all_77_0) = all_67_0 & aNaturalNumber0(all_77_0) = 0 &
% 283.59/39.71 | $i(all_77_0)
% 283.59/39.71 |
% 283.59/39.71 | ALPHA: (72) implies:
% 283.59/39.71 | (73) $i(all_77_0)
% 283.59/39.71 | (74) sdtasdt0(xp, all_77_0) = all_67_0
% 283.59/39.71 |
% 283.59/39.71 | GROUND_INST: instantiating (22) with all_65_1, all_70_1, xm, xn, simplifying
% 283.59/39.71 | with (45), (62) gives:
% 283.95/39.71 | (75) all_70_1 = all_65_1
% 283.95/39.71 |
% 283.95/39.71 | REDUCE: (63), (75) imply:
% 283.95/39.71 | (76) sdtpldt0(all_65_1, xp) = all_70_0
% 283.95/39.71 |
% 283.95/39.71 | REDUCE: (60), (75) imply:
% 283.95/39.72 | (77) $i(all_65_1)
% 283.95/39.72 |
% 283.95/39.72 | GROUND_INST: instantiating (22) with all_65_0, all_70_0, xp, all_65_1,
% 283.95/39.72 | simplifying with (48), (76) gives:
% 283.95/39.72 | (78) all_70_0 = all_65_0
% 283.95/39.72 |
% 283.95/39.72 | REDUCE: (61), (78) imply:
% 283.95/39.72 | (79) $i(all_65_0)
% 283.95/39.72 |
% 283.95/39.72 | GROUND_INST: instantiating (1) with xp, simplifying with (4), (17) gives:
% 283.95/39.72 | (80) xp = sz10 | xp = sz00 | ? [v0: $i] : (isPrime0(v0) = 0 &
% 283.95/39.72 | doDivides0(v0, xp) = 0 & aNaturalNumber0(v0) = 0 & $i(v0))
% 283.95/39.72 |
% 283.95/39.72 | GROUND_INST: instantiating (mAddComm) with xn, xm, all_65_1, simplifying with
% 283.95/39.72 | (14), (16), (45) gives:
% 283.95/39.72 | (81) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtpldt0(xm, xn) = v2 &
% 283.95/39.72 | aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & $i(v2) & ( ~
% 283.95/39.72 | (v1 = 0) | ~ (v0 = 0) | v2 = all_65_1))
% 283.95/39.72 |
% 283.95/39.72 | GROUND_INST: instantiating (mSortsB) with xn, xm, all_65_1, simplifying with
% 283.95/39.72 | (14), (16), (45) gives:
% 283.95/39.72 | (82) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 283.95/39.72 | (aNaturalNumber0(all_65_1) = v2 & aNaturalNumber0(xm) = v1 &
% 283.95/39.72 | aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 283.95/39.72 |
% 283.95/39.72 | GROUND_INST: instantiating (mAddAsso) with xp, xr, xm, xn, all_65_1,
% 283.95/39.72 | simplifying with (9), (16), (17), (18), (45) gives:
% 283.95/39.72 | (83) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4: $i]
% 283.95/39.72 | : (sdtpldt0(xr, xm) = v3 & sdtpldt0(xp, v3) = v4 & aNaturalNumber0(xr)
% 283.95/39.72 | = v1 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v2 & $i(v4)
% 283.95/39.72 | & $i(v3) & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 =
% 283.95/39.72 | all_65_1))
% 283.95/39.72 |
% 283.95/39.72 | GROUND_INST: instantiating (mAddComm) with xp, xr, xn, simplifying with (9),
% 283.95/39.72 | (17), (18) gives:
% 283.95/39.72 | (84) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtpldt0(xr, xp) = v2 &
% 283.95/39.72 | aNaturalNumber0(xr) = v1 & aNaturalNumber0(xp) = v0 & $i(v2) & ( ~
% 283.95/39.72 | (v1 = 0) | ~ (v0 = 0) | v2 = xn))
% 283.95/39.72 |
% 283.95/39.72 | GROUND_INST: instantiating (mAddAsso) with xp, all_58_0, xm, xn, all_65_1,
% 283.95/39.72 | simplifying with (16), (17), (29), (30), (45) gives:
% 283.95/39.72 | (85) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4: $i]
% 283.95/39.72 | : (sdtpldt0(all_58_0, xm) = v3 & sdtpldt0(xp, v3) = v4 &
% 283.95/39.72 | aNaturalNumber0(all_58_0) = v1 & aNaturalNumber0(xp) = v0 &
% 283.95/39.72 | aNaturalNumber0(xm) = v2 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 =
% 283.95/39.72 | 0) | ~ (v0 = 0) | v4 = all_65_1))
% 283.95/39.72 |
% 283.95/39.72 | GROUND_INST: instantiating (mAddComm) with xp, all_58_0, xn, simplifying with
% 283.95/39.72 | (17), (29), (30) gives:
% 283.95/39.73 | (86) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtpldt0(all_58_0, xp) =
% 283.95/39.73 | v2 & aNaturalNumber0(all_58_0) = v1 & aNaturalNumber0(xp) = v0 &
% 283.95/39.73 | $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = xn))
% 283.95/39.73 |
% 283.95/39.73 | GROUND_INST: instantiating (mAddComm) with xr, xm, all_65_3, simplifying with
% 283.95/39.73 | (16), (18), (46) gives:
% 283.95/39.73 | (87) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtpldt0(xm, xr) = v2 &
% 283.95/39.73 | aNaturalNumber0(xr) = v0 & aNaturalNumber0(xm) = v1 & $i(v2) & ( ~
% 283.95/39.73 | (v1 = 0) | ~ (v0 = 0) | v2 = all_65_3))
% 283.95/39.73 |
% 283.95/39.73 | GROUND_INST: instantiating (mSortsB) with xr, xm, all_65_3, simplifying with
% 283.95/39.73 | (16), (18), (46) gives:
% 283.95/39.73 | (88) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 283.95/39.73 | (aNaturalNumber0(all_65_3) = v2 & aNaturalNumber0(xr) = v0 &
% 283.95/39.73 | aNaturalNumber0(xm) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 283.95/39.73 |
% 283.95/39.73 | GROUND_INST: instantiating (mAddAsso) with xr, all_56_0, xm, xn, all_65_1,
% 283.95/39.73 | simplifying with (16), (18), (26), (27), (45) gives:
% 283.95/39.73 | (89) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4: $i]
% 283.95/39.73 | : (sdtpldt0(all_56_0, xm) = v3 & sdtpldt0(xr, v3) = v4 &
% 283.95/39.73 | aNaturalNumber0(all_56_0) = v1 & aNaturalNumber0(xr) = v0 &
% 283.95/39.73 | aNaturalNumber0(xm) = v2 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 =
% 283.95/39.73 | 0) | ~ (v0 = 0) | v4 = all_65_1))
% 283.95/39.73 |
% 283.95/39.73 | GROUND_INST: instantiating (mAddComm) with xr, all_56_0, xn, simplifying with
% 283.95/39.73 | (18), (26), (27) gives:
% 283.95/39.73 | (90) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtpldt0(all_56_0, xr) =
% 283.95/39.73 | v2 & aNaturalNumber0(all_56_0) = v1 & aNaturalNumber0(xr) = v0 &
% 283.95/39.73 | $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = xn))
% 283.95/39.73 |
% 283.95/39.73 | GROUND_INST: instantiating (mAddAsso) with xr, xm, xp, all_65_3, all_65_2,
% 283.95/39.73 | simplifying with (16), (17), (18), (46), (47) gives:
% 283.95/39.73 | (91) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4: $i]
% 283.95/39.73 | : (sdtpldt0(xr, v3) = v4 & sdtpldt0(xm, xp) = v3 & aNaturalNumber0(xr)
% 283.95/39.73 | = v0 & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = v1 & $i(v4)
% 283.95/39.73 | & $i(v3) & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 =
% 283.95/39.73 | all_65_2))
% 283.95/39.73 |
% 283.95/39.73 | GROUND_INST: instantiating (mAddComm) with all_65_3, xp, all_65_2, simplifying
% 283.95/39.73 | with (17), (43), (47) gives:
% 283.95/39.73 | (92) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtpldt0(xp, all_65_3) =
% 283.95/39.73 | v2 & aNaturalNumber0(all_65_3) = v0 & aNaturalNumber0(xp) = v1 &
% 283.95/39.73 | $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_65_2))
% 283.95/39.73 |
% 283.95/39.73 | GROUND_INST: instantiating (mSortsB) with all_65_3, xp, all_65_2, simplifying
% 283.95/39.73 | with (17), (43), (47) gives:
% 283.95/39.73 | (93) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 283.95/39.73 | (aNaturalNumber0(all_65_2) = v2 & aNaturalNumber0(all_65_3) = v0 &
% 283.95/39.73 | aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 283.95/39.73 |
% 283.95/39.73 | GROUND_INST: instantiating (mAddAsso) with all_65_3, xp, all_75_0, all_65_2,
% 283.95/39.73 | all_65_0, simplifying with (17), (43), (47), (69), (71) gives:
% 283.95/39.73 | (94) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4: $i]
% 283.95/39.73 | : (sdtpldt0(all_65_3, v3) = v4 & sdtpldt0(xp, all_75_0) = v3 &
% 283.95/39.73 | aNaturalNumber0(all_75_0) = v2 & aNaturalNumber0(all_65_3) = v0 &
% 283.95/39.73 | aNaturalNumber0(xp) = v1 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 =
% 283.95/39.73 | 0) | ~ (v0 = 0) | v4 = all_65_0))
% 283.95/39.73 |
% 283.95/39.73 | GROUND_INST: instantiating (mAddComm) with all_65_2, all_75_0, all_65_0,
% 283.95/39.73 | simplifying with (44), (69), (71) gives:
% 283.95/39.73 | (95) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtpldt0(all_75_0,
% 283.95/39.73 | all_65_2) = v2 & aNaturalNumber0(all_75_0) = v1 &
% 283.95/39.73 | aNaturalNumber0(all_65_2) = v0 & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0)
% 283.95/39.73 | | v2 = all_65_0))
% 283.95/39.74 |
% 283.95/39.74 | GROUND_INST: instantiating (mSortsB) with all_65_2, all_75_0, all_65_0,
% 283.95/39.74 | simplifying with (44), (69), (71) gives:
% 283.95/39.74 | (96) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 283.95/39.74 | (aNaturalNumber0(all_75_0) = v1 & aNaturalNumber0(all_65_0) = v2 &
% 283.95/39.74 | aNaturalNumber0(all_65_2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 =
% 283.95/39.74 | 0))
% 283.95/39.74 |
% 283.95/39.74 | GROUND_INST: instantiating (mAddAsso) with xn, xm, xp, all_65_1, all_65_0,
% 283.95/39.74 | simplifying with (14), (16), (17), (45), (48) gives:
% 283.95/39.74 | (97) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4: $i]
% 283.95/39.74 | : (sdtpldt0(xm, xp) = v3 & sdtpldt0(xn, v3) = v4 & aNaturalNumber0(xp)
% 283.95/39.74 | = v2 & aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & $i(v4)
% 283.95/39.74 | & $i(v3) & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 =
% 283.95/39.74 | all_65_0))
% 283.95/39.74 |
% 283.95/39.74 | GROUND_INST: instantiating (mAddComm) with all_65_1, xp, all_65_0, simplifying
% 283.95/39.74 | with (17), (48), (77) gives:
% 283.95/39.74 | (98) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtpldt0(xp, all_65_1) =
% 283.95/39.74 | v2 & aNaturalNumber0(all_65_1) = v0 & aNaturalNumber0(xp) = v1 &
% 283.95/39.74 | $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_65_0))
% 283.95/39.74 |
% 283.95/39.74 | GROUND_INST: instantiating (mSortsB) with all_65_1, xp, all_65_0, simplifying
% 283.95/39.74 | with (17), (48), (77) gives:
% 283.95/39.74 | (99) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 283.95/39.74 | (aNaturalNumber0(all_65_0) = v2 & aNaturalNumber0(all_65_1) = v0 &
% 283.95/39.74 | aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 283.95/39.74 |
% 283.95/39.74 | GROUND_INST: instantiating (mMulComm) with xn, xm, all_67_0, simplifying with
% 283.95/39.74 | (14), (16), (55) gives:
% 283.95/39.74 | (100) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtasdt0(xm, xn) = v2 &
% 283.95/39.74 | aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & $i(v2) & ( ~
% 283.95/39.74 | (v1 = 0) | ~ (v0 = 0) | v2 = all_67_0))
% 283.95/39.74 |
% 283.95/39.74 | GROUND_INST: instantiating (mSortsB_02) with xn, xm, all_67_0, simplifying
% 283.95/39.74 | with (14), (16), (55) gives:
% 283.95/39.74 | (101) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 283.95/39.74 | (aNaturalNumber0(all_67_0) = v2 & aNaturalNumber0(xm) = v1 &
% 283.95/39.74 | aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 283.95/39.74 |
% 283.95/39.74 | GROUND_INST: instantiating (mMulComm) with xp, all_73_0, all_60_0, simplifying
% 283.95/39.74 | with (17), (66), (67) gives:
% 283.95/39.74 | (102) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtasdt0(all_73_0, xp) =
% 283.95/39.74 | v2 & aNaturalNumber0(all_73_0) = v1 & aNaturalNumber0(xp) = v0 &
% 283.95/39.74 | $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_60_0))
% 283.95/39.74 |
% 283.95/39.74 | GROUND_INST: instantiating (mSortsB_02) with xp, all_73_0, all_60_0,
% 283.95/39.74 | simplifying with (17), (66), (67) gives:
% 283.95/39.74 | (103) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 283.95/39.74 | (aNaturalNumber0(all_73_0) = v1 & aNaturalNumber0(all_60_0) = v2 &
% 283.95/39.74 | aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 283.95/39.74 |
% 283.95/39.74 | GROUND_INST: instantiating (mMulComm) with xp, all_77_0, all_67_0, simplifying
% 283.95/39.74 | with (17), (73), (74) gives:
% 283.95/39.74 | (104) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtasdt0(all_77_0, xp) =
% 283.95/39.74 | v2 & aNaturalNumber0(all_77_0) = v1 & aNaturalNumber0(xp) = v0 &
% 283.95/39.74 | $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_67_0))
% 283.95/39.74 |
% 283.95/39.74 | GROUND_INST: instantiating (mSortsB_02) with xp, all_77_0, all_67_0,
% 283.95/39.74 | simplifying with (17), (73), (74) gives:
% 283.95/39.74 | (105) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 283.95/39.74 | (aNaturalNumber0(all_77_0) = v1 & aNaturalNumber0(all_67_0) = v2 &
% 283.95/39.74 | aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 283.95/39.74 |
% 283.95/39.74 | GROUND_INST: instantiating (mMulComm) with xr, xm, all_60_0, simplifying with
% 283.95/39.74 | (16), (18), (33) gives:
% 283.95/39.74 | (106) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtasdt0(xm, xr) = v2 &
% 283.95/39.74 | aNaturalNumber0(xr) = v0 & aNaturalNumber0(xm) = v1 & $i(v2) & ( ~
% 283.95/39.74 | (v1 = 0) | ~ (v0 = 0) | v2 = all_60_0))
% 283.95/39.74 |
% 283.95/39.74 | GROUND_INST: instantiating (mSortsB_02) with xr, xm, all_60_0, simplifying
% 283.95/39.74 | with (16), (18), (33) gives:
% 283.95/39.74 | (107) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 283.95/39.74 | (aNaturalNumber0(all_60_0) = v2 & aNaturalNumber0(xr) = v0 &
% 283.95/39.74 | aNaturalNumber0(xm) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 283.95/39.74 |
% 283.95/39.74 | GROUND_INST: instantiating (mLEAsym) with xr, xn, simplifying with (11), (14),
% 283.95/39.74 | (18) gives:
% 283.95/39.75 | (108) xr = xn | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 283.95/39.75 | (sdtlseqdt0(xn, xr) = v2 & aNaturalNumber0(xr) = v0 &
% 283.95/39.75 | aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 =
% 283.95/39.75 | 0)))
% 283.95/39.75 |
% 283.95/39.75 | GROUND_INST: instantiating (mLEAsym) with all_65_2, all_65_0, simplifying with
% 283.95/39.75 | (44), (49), (79) gives:
% 283.95/39.75 | (109) all_65_0 = all_65_2 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 283.95/39.75 | (sdtlseqdt0(all_65_0, all_65_2) = v2 & aNaturalNumber0(all_65_0) = v1
% 283.95/39.75 | & aNaturalNumber0(all_65_2) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 283.95/39.75 | (v0 = 0)))
% 283.95/39.75 |
% 283.95/39.75 | GROUND_INST: instantiating (mMonAdd) with all_65_2, all_65_0, simplifying with
% 283.95/39.75 | (44), (49), (79) gives:
% 283.95/39.75 | (110) all_65_0 = all_65_2 | ? [v0: any] : ? [v1: any] :
% 283.95/39.75 | (aNaturalNumber0(all_65_0) = v1 & aNaturalNumber0(all_65_2) = v0 & (
% 283.95/39.75 | ~ (v1 = 0) | ~ (v0 = 0))) | ! [v0: $i] : ! [v1: $i] : ! [v2:
% 283.95/39.75 | $i] : ! [v3: any] : ( ~ (sdtlseqdt0(v1, v2) = v3) | ~
% 283.95/39.75 | (sdtpldt0(all_65_0, v0) = v2) | ~ (sdtpldt0(all_65_2, v0) = v1) |
% 283.95/39.75 | ~ $i(v0) | ? [v4: any] : ? [v5: $i] : ? [v6: $i] : ? [v7: any]
% 283.95/39.75 | : (sdtlseqdt0(v5, v6) = v7 & sdtpldt0(v0, all_65_0) = v6 &
% 283.95/39.75 | sdtpldt0(v0, all_65_2) = v5 & aNaturalNumber0(v0) = v4 & $i(v6) &
% 283.95/39.75 | $i(v5) & ( ~ (v4 = 0) | (v7 = 0 & v3 = 0 & ~ (v6 = v5) & ~ (v2
% 283.95/39.75 | = v1)))))
% 283.95/39.75 |
% 283.95/39.75 | GROUND_INST: instantiating (64) with xr, xm, xp, all_60_0, 0, simplifying with
% 283.95/39.75 | (16), (17), (18), (33), (34) gives:
% 283.95/39.75 | (111) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4:
% 283.95/39.75 | $i] : ? [v5: $i] : ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 283.95/39.75 | (isPrime0(xp) = v3 & doDivides0(xp, xr) = v7 & doDivides0(xp, xm) =
% 283.95/39.75 | v8 & iLess0(v5, all_70_0) = v6 & sdtpldt0(v4, xp) = v5 &
% 283.95/39.75 | sdtpldt0(xr, xm) = v4 & aNaturalNumber0(xr) = v0 &
% 283.95/39.75 | aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = v1 & $i(v5) &
% 283.95/39.75 | $i(v4) & ( ~ (v6 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) |
% 283.95/39.75 | (v8 = 0 & ? [v9: $i] : (sdtasdt0(xp, v9) = xm &
% 283.95/39.75 | aNaturalNumber0(v9) = 0 & $i(v9))) | (v7 = 0 & ? [v9: $i] :
% 283.95/39.75 | (sdtasdt0(xp, v9) = xr & aNaturalNumber0(v9) = 0 & $i(v9))) | (
% 283.95/39.75 | ~ (v3 = 0) & (xp = sz10 | xp = sz00 | ? [v9: $i] : ( ~ (v9 =
% 283.95/39.75 | xp) & ~ (v9 = sz10) & doDivides0(v9, xp) = 0 &
% 283.95/39.75 | aNaturalNumber0(v9) = 0 & $i(v9) & ? [v10: $i] :
% 283.95/39.75 | (sdtasdt0(v9, v10) = xp & aNaturalNumber0(v10) = 0 &
% 283.95/39.75 | $i(v10)))))))
% 283.95/39.75 |
% 283.95/39.75 | GROUND_INST: instantiating (64) with xp, all_73_0, xp, all_60_0, 0,
% 283.95/39.75 | simplifying with (17), (34), (66), (67) gives:
% 283.95/39.75 | (112) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4:
% 283.95/39.75 | $i] : ? [v5: $i] : ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 283.95/39.75 | (isPrime0(xp) = v3 & doDivides0(xp, all_73_0) = v8 & doDivides0(xp,
% 283.95/39.75 | xp) = v7 & iLess0(v5, all_70_0) = v6 & sdtpldt0(v4, xp) = v5 &
% 283.95/39.75 | sdtpldt0(xp, all_73_0) = v4 & aNaturalNumber0(all_73_0) = v1 &
% 283.95/39.75 | aNaturalNumber0(xp) = v2 & aNaturalNumber0(xp) = v0 & $i(v5) &
% 283.95/39.75 | $i(v4) & ( ~ (v6 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) |
% 283.95/39.75 | (v8 = 0 & ? [v9: $i] : (sdtasdt0(xp, v9) = all_73_0 &
% 283.95/39.75 | aNaturalNumber0(v9) = 0 & $i(v9))) | (v7 = 0 & ? [v9: $i] :
% 283.95/39.75 | (sdtasdt0(xp, v9) = xp & aNaturalNumber0(v9) = 0 & $i(v9))) | (
% 283.95/39.75 | ~ (v3 = 0) & (xp = sz10 | xp = sz00 | ? [v9: $i] : ( ~ (v9 =
% 283.95/39.75 | xp) & ~ (v9 = sz10) & doDivides0(v9, xp) = 0 &
% 283.95/39.75 | aNaturalNumber0(v9) = 0 & $i(v9) & ? [v10: $i] :
% 283.95/39.75 | (sdtasdt0(v9, v10) = xp & aNaturalNumber0(v10) = 0 &
% 283.95/39.75 | $i(v10)))))))
% 283.95/39.75 |
% 283.95/39.75 | GROUND_INST: instantiating (mDivTrans) with xp, all_60_0, xr, all_62_1,
% 283.95/39.75 | simplifying with (17), (18), (32), (34), (40) gives:
% 283.95/39.75 | (113) all_62_1 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3:
% 283.95/39.75 | any] : (doDivides0(all_60_0, xr) = v3 & aNaturalNumber0(all_60_0) =
% 283.95/39.75 | v1 & aNaturalNumber0(xr) = v2 & aNaturalNumber0(xp) = v0 & ( ~ (v3
% 283.95/39.75 | = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 283.95/39.75 |
% 283.95/39.75 | GROUND_INST: instantiating (mDivTrans) with xp, all_60_0, xm, all_62_0,
% 283.95/39.75 | simplifying with (16), (17), (32), (34), (39) gives:
% 283.95/39.76 | (114) all_62_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3:
% 283.95/39.76 | any] : (doDivides0(all_60_0, xm) = v3 & aNaturalNumber0(all_60_0) =
% 283.95/39.76 | v1 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v2 & ( ~ (v3
% 283.95/39.76 | = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 283.95/39.76 |
% 283.95/39.76 | GROUND_INST: instantiating (64) with xp, all_77_0, xp, all_67_0, 0,
% 283.95/39.76 | simplifying with (17), (56), (73), (74) gives:
% 283.95/39.76 | (115) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4:
% 283.95/39.76 | $i] : ? [v5: $i] : ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 283.95/39.76 | (isPrime0(xp) = v3 & doDivides0(xp, all_77_0) = v8 & doDivides0(xp,
% 283.95/39.76 | xp) = v7 & iLess0(v5, all_70_0) = v6 & sdtpldt0(v4, xp) = v5 &
% 283.95/39.76 | sdtpldt0(xp, all_77_0) = v4 & aNaturalNumber0(all_77_0) = v1 &
% 283.95/39.76 | aNaturalNumber0(xp) = v2 & aNaturalNumber0(xp) = v0 & $i(v5) &
% 283.95/39.76 | $i(v4) & ( ~ (v6 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) |
% 283.95/39.76 | (v8 = 0 & ? [v9: $i] : (sdtasdt0(xp, v9) = all_77_0 &
% 283.95/39.76 | aNaturalNumber0(v9) = 0 & $i(v9))) | (v7 = 0 & ? [v9: $i] :
% 283.95/39.76 | (sdtasdt0(xp, v9) = xp & aNaturalNumber0(v9) = 0 & $i(v9))) | (
% 283.95/39.76 | ~ (v3 = 0) & (xp = sz10 | xp = sz00 | ? [v9: $i] : ( ~ (v9 =
% 283.95/39.76 | xp) & ~ (v9 = sz10) & doDivides0(v9, xp) = 0 &
% 283.95/39.76 | aNaturalNumber0(v9) = 0 & $i(v9) & ? [v10: $i] :
% 283.95/39.76 | (sdtasdt0(v9, v10) = xp & aNaturalNumber0(v10) = 0 &
% 283.95/39.76 | $i(v10)))))))
% 283.95/39.76 |
% 283.95/39.76 | GROUND_INST: instantiating (64) with xn, xm, xp, all_67_0, 0, simplifying with
% 283.95/39.76 | (14), (16), (17), (55), (56) gives:
% 283.95/39.76 | (116) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4:
% 283.95/39.76 | $i] : ? [v5: $i] : ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 283.95/39.76 | (isPrime0(xp) = v3 & doDivides0(xp, xm) = v8 & doDivides0(xp, xn) =
% 283.95/39.76 | v7 & iLess0(v5, all_70_0) = v6 & sdtpldt0(v4, xp) = v5 &
% 283.95/39.76 | sdtpldt0(xn, xm) = v4 & aNaturalNumber0(xp) = v2 &
% 283.95/39.76 | aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & $i(v5) &
% 283.95/39.76 | $i(v4) & ( ~ (v6 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) |
% 283.95/39.76 | (v8 = 0 & ? [v9: $i] : (sdtasdt0(xp, v9) = xm &
% 283.95/39.76 | aNaturalNumber0(v9) = 0 & $i(v9))) | (v7 = 0 & ? [v9: $i] :
% 283.95/39.76 | (sdtasdt0(xp, v9) = xn & aNaturalNumber0(v9) = 0 & $i(v9))) | (
% 283.95/39.76 | ~ (v3 = 0) & (xp = sz10 | xp = sz00 | ? [v9: $i] : ( ~ (v9 =
% 283.95/39.76 | xp) & ~ (v9 = sz10) & doDivides0(v9, xp) = 0 &
% 283.95/39.76 | aNaturalNumber0(v9) = 0 & $i(v9) & ? [v10: $i] :
% 283.95/39.76 | (sdtasdt0(v9, v10) = xp & aNaturalNumber0(v10) = 0 &
% 283.95/39.76 | $i(v10)))))))
% 283.95/39.76 |
% 283.95/39.76 | GROUND_INST: instantiating (mDivTrans) with xp, all_67_0, xr, all_62_1,
% 283.95/39.76 | simplifying with (17), (18), (40), (54), (56) gives:
% 283.95/39.76 | (117) all_62_1 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3:
% 283.95/39.76 | any] : (doDivides0(all_67_0, xr) = v3 & aNaturalNumber0(all_67_0) =
% 283.95/39.76 | v1 & aNaturalNumber0(xr) = v2 & aNaturalNumber0(xp) = v0 & ( ~ (v3
% 283.95/39.76 | = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 283.95/39.76 |
% 283.95/39.76 | GROUND_INST: instantiating (mDivTrans) with xp, all_67_0, xm, all_62_0,
% 283.95/39.76 | simplifying with (16), (17), (39), (54), (56) gives:
% 283.95/39.76 | (118) all_62_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3:
% 283.95/39.76 | any] : (doDivides0(all_67_0, xm) = v3 & aNaturalNumber0(all_67_0) =
% 283.95/39.76 | v1 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v2 & ( ~ (v3
% 283.95/39.76 | = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 283.95/39.76 |
% 283.95/39.76 | DELTA: instantiating (107) with fresh symbols all_92_0, all_92_1, all_92_2
% 283.95/39.76 | gives:
% 283.95/39.76 | (119) aNaturalNumber0(all_60_0) = all_92_0 & aNaturalNumber0(xr) = all_92_2
% 283.95/39.76 | & aNaturalNumber0(xm) = all_92_1 & ( ~ (all_92_1 = 0) | ~ (all_92_2
% 283.95/39.76 | = 0) | all_92_0 = 0)
% 283.95/39.76 |
% 283.95/39.76 | ALPHA: (119) implies:
% 283.95/39.76 | (120) aNaturalNumber0(xm) = all_92_1
% 283.95/39.76 |
% 283.95/39.76 | DELTA: instantiating (103) with fresh symbols all_94_0, all_94_1, all_94_2
% 283.95/39.76 | gives:
% 283.95/39.76 | (121) aNaturalNumber0(all_73_0) = all_94_1 & aNaturalNumber0(all_60_0) =
% 283.95/39.76 | all_94_0 & aNaturalNumber0(xp) = all_94_2 & ( ~ (all_94_1 = 0) | ~
% 283.95/39.76 | (all_94_2 = 0) | all_94_0 = 0)
% 283.95/39.76 |
% 283.95/39.76 | ALPHA: (121) implies:
% 283.95/39.76 | (122) aNaturalNumber0(xp) = all_94_2
% 283.95/39.76 |
% 283.95/39.76 | DELTA: instantiating (99) with fresh symbols all_96_0, all_96_1, all_96_2
% 283.95/39.76 | gives:
% 283.95/39.76 | (123) aNaturalNumber0(all_65_0) = all_96_0 & aNaturalNumber0(all_65_1) =
% 283.95/39.76 | all_96_2 & aNaturalNumber0(xp) = all_96_1 & ( ~ (all_96_1 = 0) | ~
% 283.95/39.76 | (all_96_2 = 0) | all_96_0 = 0)
% 283.95/39.76 |
% 283.95/39.76 | ALPHA: (123) implies:
% 283.95/39.76 | (124) aNaturalNumber0(xp) = all_96_1
% 283.95/39.76 | (125) aNaturalNumber0(all_65_1) = all_96_2
% 283.95/39.76 | (126) aNaturalNumber0(all_65_0) = all_96_0
% 283.95/39.76 |
% 283.95/39.76 | DELTA: instantiating (96) with fresh symbols all_98_0, all_98_1, all_98_2
% 283.95/39.76 | gives:
% 283.95/39.76 | (127) aNaturalNumber0(all_75_0) = all_98_1 & aNaturalNumber0(all_65_0) =
% 283.95/39.76 | all_98_0 & aNaturalNumber0(all_65_2) = all_98_2 & ( ~ (all_98_1 = 0)
% 283.95/39.76 | | ~ (all_98_2 = 0) | all_98_0 = 0)
% 283.95/39.76 |
% 283.95/39.76 | ALPHA: (127) implies:
% 283.95/39.76 | (128) aNaturalNumber0(all_65_2) = all_98_2
% 283.95/39.76 | (129) aNaturalNumber0(all_65_0) = all_98_0
% 283.95/39.76 | (130) aNaturalNumber0(all_75_0) = all_98_1
% 283.95/39.77 | (131) ~ (all_98_1 = 0) | ~ (all_98_2 = 0) | all_98_0 = 0
% 283.95/39.77 |
% 283.95/39.77 | DELTA: instantiating (101) with fresh symbols all_100_0, all_100_1, all_100_2
% 283.95/39.77 | gives:
% 283.95/39.77 | (132) aNaturalNumber0(all_67_0) = all_100_0 & aNaturalNumber0(xm) =
% 283.95/39.77 | all_100_1 & aNaturalNumber0(xn) = all_100_2 & ( ~ (all_100_1 = 0) |
% 283.95/39.77 | ~ (all_100_2 = 0) | all_100_0 = 0)
% 283.95/39.77 |
% 283.95/39.77 | ALPHA: (132) implies:
% 283.95/39.77 | (133) aNaturalNumber0(xm) = all_100_1
% 283.95/39.77 |
% 283.95/39.77 | DELTA: instantiating (93) with fresh symbols all_102_0, all_102_1, all_102_2
% 283.95/39.77 | gives:
% 283.95/39.77 | (134) aNaturalNumber0(all_65_2) = all_102_0 & aNaturalNumber0(all_65_3) =
% 283.95/39.77 | all_102_2 & aNaturalNumber0(xp) = all_102_1 & ( ~ (all_102_1 = 0) |
% 283.95/39.77 | ~ (all_102_2 = 0) | all_102_0 = 0)
% 283.95/39.77 |
% 283.95/39.77 | ALPHA: (134) implies:
% 283.95/39.77 | (135) aNaturalNumber0(xp) = all_102_1
% 283.95/39.77 | (136) aNaturalNumber0(all_65_3) = all_102_2
% 283.95/39.77 | (137) aNaturalNumber0(all_65_2) = all_102_0
% 283.95/39.77 | (138) ~ (all_102_1 = 0) | ~ (all_102_2 = 0) | all_102_0 = 0
% 283.95/39.77 |
% 283.95/39.77 | DELTA: instantiating (105) with fresh symbols all_104_0, all_104_1, all_104_2
% 283.95/39.77 | gives:
% 283.95/39.77 | (139) aNaturalNumber0(all_77_0) = all_104_1 & aNaturalNumber0(all_67_0) =
% 283.95/39.77 | all_104_0 & aNaturalNumber0(xp) = all_104_2 & ( ~ (all_104_1 = 0) |
% 283.95/39.77 | ~ (all_104_2 = 0) | all_104_0 = 0)
% 283.95/39.77 |
% 283.95/39.77 | ALPHA: (139) implies:
% 283.95/39.77 | (140) aNaturalNumber0(xp) = all_104_2
% 283.95/39.77 |
% 283.95/39.77 | DELTA: instantiating (88) with fresh symbols all_106_0, all_106_1, all_106_2
% 283.95/39.77 | gives:
% 283.95/39.77 | (141) aNaturalNumber0(all_65_3) = all_106_0 & aNaturalNumber0(xr) =
% 283.95/39.77 | all_106_2 & aNaturalNumber0(xm) = all_106_1 & ( ~ (all_106_1 = 0) |
% 283.95/39.77 | ~ (all_106_2 = 0) | all_106_0 = 0)
% 283.95/39.77 |
% 283.95/39.77 | ALPHA: (141) implies:
% 283.95/39.77 | (142) aNaturalNumber0(xm) = all_106_1
% 283.95/39.77 | (143) aNaturalNumber0(xr) = all_106_2
% 283.95/39.77 | (144) aNaturalNumber0(all_65_3) = all_106_0
% 283.95/39.77 | (145) ~ (all_106_1 = 0) | ~ (all_106_2 = 0) | all_106_0 = 0
% 283.95/39.77 |
% 283.95/39.77 | DELTA: instantiating (82) with fresh symbols all_108_0, all_108_1, all_108_2
% 283.95/39.77 | gives:
% 283.95/39.77 | (146) aNaturalNumber0(all_65_1) = all_108_0 & aNaturalNumber0(xm) =
% 283.95/39.77 | all_108_1 & aNaturalNumber0(xn) = all_108_2 & ( ~ (all_108_1 = 0) |
% 283.95/39.77 | ~ (all_108_2 = 0) | all_108_0 = 0)
% 283.95/39.77 |
% 283.95/39.77 | ALPHA: (146) implies:
% 283.95/39.77 | (147) aNaturalNumber0(xn) = all_108_2
% 283.95/39.77 | (148) aNaturalNumber0(xm) = all_108_1
% 283.95/39.77 | (149) aNaturalNumber0(all_65_1) = all_108_0
% 283.95/39.77 | (150) ~ (all_108_1 = 0) | ~ (all_108_2 = 0) | all_108_0 = 0
% 283.95/39.77 |
% 283.95/39.77 | DELTA: instantiating (81) with fresh symbols all_110_0, all_110_1, all_110_2
% 283.95/39.77 | gives:
% 283.95/39.77 | (151) sdtpldt0(xm, xn) = all_110_0 & aNaturalNumber0(xm) = all_110_1 &
% 283.95/39.77 | aNaturalNumber0(xn) = all_110_2 & $i(all_110_0) & ( ~ (all_110_1 = 0)
% 283.95/39.77 | | ~ (all_110_2 = 0) | all_110_0 = all_65_1)
% 283.95/39.77 |
% 283.95/39.77 | ALPHA: (151) implies:
% 283.95/39.77 | (152) aNaturalNumber0(xn) = all_110_2
% 283.95/39.77 | (153) aNaturalNumber0(xm) = all_110_1
% 283.95/39.77 |
% 283.95/39.77 | DELTA: instantiating (92) with fresh symbols all_112_0, all_112_1, all_112_2
% 283.95/39.77 | gives:
% 283.95/39.77 | (154) sdtpldt0(xp, all_65_3) = all_112_0 & aNaturalNumber0(all_65_3) =
% 283.95/39.77 | all_112_2 & aNaturalNumber0(xp) = all_112_1 & $i(all_112_0) & ( ~
% 283.95/39.77 | (all_112_1 = 0) | ~ (all_112_2 = 0) | all_112_0 = all_65_2)
% 283.95/39.77 |
% 283.95/39.77 | ALPHA: (154) implies:
% 283.95/39.77 | (155) aNaturalNumber0(xp) = all_112_1
% 283.95/39.77 | (156) aNaturalNumber0(all_65_3) = all_112_2
% 283.95/39.77 | (157) sdtpldt0(xp, all_65_3) = all_112_0
% 283.95/39.77 | (158) ~ (all_112_1 = 0) | ~ (all_112_2 = 0) | all_112_0 = all_65_2
% 283.95/39.77 |
% 283.95/39.77 | DELTA: instantiating (102) with fresh symbols all_114_0, all_114_1, all_114_2
% 283.95/39.77 | gives:
% 283.95/39.77 | (159) sdtasdt0(all_73_0, xp) = all_114_0 & aNaturalNumber0(all_73_0) =
% 283.95/39.77 | all_114_1 & aNaturalNumber0(xp) = all_114_2 & $i(all_114_0) & ( ~
% 283.95/39.77 | (all_114_1 = 0) | ~ (all_114_2 = 0) | all_114_0 = all_60_0)
% 283.95/39.77 |
% 283.95/39.77 | ALPHA: (159) implies:
% 283.95/39.77 | (160) aNaturalNumber0(xp) = all_114_2
% 283.95/39.77 |
% 283.95/39.77 | DELTA: instantiating (98) with fresh symbols all_116_0, all_116_1, all_116_2
% 283.95/39.77 | gives:
% 283.95/39.77 | (161) sdtpldt0(xp, all_65_1) = all_116_0 & aNaturalNumber0(all_65_1) =
% 283.95/39.77 | all_116_2 & aNaturalNumber0(xp) = all_116_1 & $i(all_116_0) & ( ~
% 283.95/39.77 | (all_116_1 = 0) | ~ (all_116_2 = 0) | all_116_0 = all_65_0)
% 283.95/39.77 |
% 283.95/39.77 | ALPHA: (161) implies:
% 283.95/39.77 | (162) aNaturalNumber0(xp) = all_116_1
% 283.95/39.77 | (163) aNaturalNumber0(all_65_1) = all_116_2
% 283.95/39.77 |
% 283.95/39.77 | DELTA: instantiating (90) with fresh symbols all_118_0, all_118_1, all_118_2
% 283.95/39.77 | gives:
% 283.95/39.77 | (164) sdtpldt0(all_56_0, xr) = all_118_0 & aNaturalNumber0(all_56_0) =
% 283.95/39.77 | all_118_1 & aNaturalNumber0(xr) = all_118_2 & $i(all_118_0) & ( ~
% 283.95/39.77 | (all_118_1 = 0) | ~ (all_118_2 = 0) | all_118_0 = xn)
% 283.95/39.77 |
% 283.95/39.77 | ALPHA: (164) implies:
% 283.95/39.77 | (165) aNaturalNumber0(xr) = all_118_2
% 283.95/39.77 |
% 283.95/39.77 | DELTA: instantiating (100) with fresh symbols all_120_0, all_120_1, all_120_2
% 283.95/39.77 | gives:
% 283.95/39.77 | (166) sdtasdt0(xm, xn) = all_120_0 & aNaturalNumber0(xm) = all_120_1 &
% 283.95/39.77 | aNaturalNumber0(xn) = all_120_2 & $i(all_120_0) & ( ~ (all_120_1 = 0)
% 283.95/39.77 | | ~ (all_120_2 = 0) | all_120_0 = all_67_0)
% 283.95/39.77 |
% 283.95/39.77 | ALPHA: (166) implies:
% 283.95/39.77 | (167) aNaturalNumber0(xn) = all_120_2
% 283.95/39.77 | (168) aNaturalNumber0(xm) = all_120_1
% 283.95/39.77 |
% 283.95/39.77 | DELTA: instantiating (104) with fresh symbols all_122_0, all_122_1, all_122_2
% 283.95/39.77 | gives:
% 283.95/39.77 | (169) sdtasdt0(all_77_0, xp) = all_122_0 & aNaturalNumber0(all_77_0) =
% 283.95/39.77 | all_122_1 & aNaturalNumber0(xp) = all_122_2 & $i(all_122_0) & ( ~
% 283.95/39.77 | (all_122_1 = 0) | ~ (all_122_2 = 0) | all_122_0 = all_67_0)
% 283.95/39.77 |
% 283.95/39.77 | ALPHA: (169) implies:
% 283.95/39.77 | (170) aNaturalNumber0(xp) = all_122_2
% 283.95/39.77 |
% 283.95/39.77 | DELTA: instantiating (87) with fresh symbols all_124_0, all_124_1, all_124_2
% 283.95/39.77 | gives:
% 283.95/39.77 | (171) sdtpldt0(xm, xr) = all_124_0 & aNaturalNumber0(xr) = all_124_2 &
% 283.95/39.77 | aNaturalNumber0(xm) = all_124_1 & $i(all_124_0) & ( ~ (all_124_1 = 0)
% 283.95/39.77 | | ~ (all_124_2 = 0) | all_124_0 = all_65_3)
% 283.95/39.77 |
% 283.95/39.77 | ALPHA: (171) implies:
% 283.95/39.77 | (172) aNaturalNumber0(xm) = all_124_1
% 283.95/39.77 | (173) aNaturalNumber0(xr) = all_124_2
% 283.95/39.77 |
% 283.95/39.77 | DELTA: instantiating (86) with fresh symbols all_126_0, all_126_1, all_126_2
% 283.95/39.77 | gives:
% 283.95/39.78 | (174) sdtpldt0(all_58_0, xp) = all_126_0 & aNaturalNumber0(all_58_0) =
% 283.95/39.78 | all_126_1 & aNaturalNumber0(xp) = all_126_2 & $i(all_126_0) & ( ~
% 283.95/39.78 | (all_126_1 = 0) | ~ (all_126_2 = 0) | all_126_0 = xn)
% 283.95/39.78 |
% 283.95/39.78 | ALPHA: (174) implies:
% 283.95/39.78 | (175) aNaturalNumber0(xp) = all_126_2
% 283.95/39.78 |
% 283.95/39.78 | DELTA: instantiating (84) with fresh symbols all_128_0, all_128_1, all_128_2
% 283.95/39.78 | gives:
% 283.95/39.78 | (176) sdtpldt0(xr, xp) = all_128_0 & aNaturalNumber0(xr) = all_128_1 &
% 283.95/39.78 | aNaturalNumber0(xp) = all_128_2 & $i(all_128_0) & ( ~ (all_128_1 = 0)
% 283.95/39.78 | | ~ (all_128_2 = 0) | all_128_0 = xn)
% 283.95/39.78 |
% 283.95/39.78 | ALPHA: (176) implies:
% 283.95/39.78 | (177) aNaturalNumber0(xp) = all_128_2
% 283.95/39.78 | (178) aNaturalNumber0(xr) = all_128_1
% 283.95/39.78 |
% 283.95/39.78 | DELTA: instantiating (106) with fresh symbols all_130_0, all_130_1, all_130_2
% 283.95/39.78 | gives:
% 283.95/39.78 | (179) sdtasdt0(xm, xr) = all_130_0 & aNaturalNumber0(xr) = all_130_2 &
% 283.95/39.78 | aNaturalNumber0(xm) = all_130_1 & $i(all_130_0) & ( ~ (all_130_1 = 0)
% 283.95/39.78 | | ~ (all_130_2 = 0) | all_130_0 = all_60_0)
% 283.95/39.78 |
% 283.95/39.78 | ALPHA: (179) implies:
% 283.95/39.78 | (180) aNaturalNumber0(xm) = all_130_1
% 283.95/39.78 |
% 283.95/39.78 | DELTA: instantiating (95) with fresh symbols all_132_0, all_132_1, all_132_2
% 283.95/39.78 | gives:
% 283.95/39.78 | (181) sdtpldt0(all_75_0, all_65_2) = all_132_0 & aNaturalNumber0(all_75_0)
% 283.95/39.78 | = all_132_1 & aNaturalNumber0(all_65_2) = all_132_2 & $i(all_132_0) &
% 283.95/39.78 | ( ~ (all_132_1 = 0) | ~ (all_132_2 = 0) | all_132_0 = all_65_0)
% 283.95/39.78 |
% 283.95/39.78 | ALPHA: (181) implies:
% 283.95/39.78 | (182) aNaturalNumber0(all_65_2) = all_132_2
% 283.95/39.78 | (183) aNaturalNumber0(all_75_0) = all_132_1
% 283.95/39.78 |
% 283.95/39.78 | DELTA: instantiating (97) with fresh symbols all_134_0, all_134_1, all_134_2,
% 283.95/39.78 | all_134_3, all_134_4 gives:
% 283.95/39.78 | (184) sdtpldt0(xm, xp) = all_134_1 & sdtpldt0(xn, all_134_1) = all_134_0 &
% 283.95/39.78 | aNaturalNumber0(xp) = all_134_2 & aNaturalNumber0(xm) = all_134_3 &
% 283.95/39.78 | aNaturalNumber0(xn) = all_134_4 & $i(all_134_0) & $i(all_134_1) & ( ~
% 283.95/39.78 | (all_134_2 = 0) | ~ (all_134_3 = 0) | ~ (all_134_4 = 0) |
% 283.95/39.78 | all_134_0 = all_65_0)
% 283.95/39.78 |
% 283.95/39.78 | ALPHA: (184) implies:
% 283.95/39.78 | (185) aNaturalNumber0(xn) = all_134_4
% 284.26/39.78 | (186) aNaturalNumber0(xm) = all_134_3
% 284.26/39.78 | (187) aNaturalNumber0(xp) = all_134_2
% 284.26/39.78 |
% 284.26/39.78 | DELTA: instantiating (91) with fresh symbols all_136_0, all_136_1, all_136_2,
% 284.26/39.78 | all_136_3, all_136_4 gives:
% 284.26/39.78 | (188) sdtpldt0(xr, all_136_1) = all_136_0 & sdtpldt0(xm, xp) = all_136_1 &
% 284.26/39.78 | aNaturalNumber0(xr) = all_136_4 & aNaturalNumber0(xp) = all_136_2 &
% 284.26/39.78 | aNaturalNumber0(xm) = all_136_3 & $i(all_136_0) & $i(all_136_1) & ( ~
% 284.26/39.78 | (all_136_2 = 0) | ~ (all_136_3 = 0) | ~ (all_136_4 = 0) |
% 284.26/39.78 | all_136_0 = all_65_2)
% 284.26/39.78 |
% 284.26/39.78 | ALPHA: (188) implies:
% 284.26/39.78 | (189) aNaturalNumber0(xm) = all_136_3
% 284.26/39.78 | (190) aNaturalNumber0(xp) = all_136_2
% 284.26/39.78 |
% 284.26/39.78 | DELTA: instantiating (83) with fresh symbols all_138_0, all_138_1, all_138_2,
% 284.26/39.78 | all_138_3, all_138_4 gives:
% 284.26/39.78 | (191) sdtpldt0(xr, xm) = all_138_1 & sdtpldt0(xp, all_138_1) = all_138_0 &
% 284.26/39.78 | aNaturalNumber0(xr) = all_138_3 & aNaturalNumber0(xp) = all_138_4 &
% 284.26/39.78 | aNaturalNumber0(xm) = all_138_2 & $i(all_138_0) & $i(all_138_1) & ( ~
% 284.26/39.78 | (all_138_2 = 0) | ~ (all_138_3 = 0) | ~ (all_138_4 = 0) |
% 284.26/39.78 | all_138_0 = all_65_1)
% 284.26/39.78 |
% 284.26/39.78 | ALPHA: (191) implies:
% 284.26/39.78 | (192) $i(all_138_0)
% 284.26/39.78 | (193) aNaturalNumber0(xm) = all_138_2
% 284.26/39.78 | (194) aNaturalNumber0(xp) = all_138_4
% 284.26/39.78 | (195) aNaturalNumber0(xr) = all_138_3
% 284.26/39.78 | (196) sdtpldt0(xp, all_138_1) = all_138_0
% 284.26/39.78 | (197) sdtpldt0(xr, xm) = all_138_1
% 284.26/39.78 | (198) ~ (all_138_2 = 0) | ~ (all_138_3 = 0) | ~ (all_138_4 = 0) |
% 284.26/39.78 | all_138_0 = all_65_1
% 284.26/39.78 |
% 284.26/39.78 | DELTA: instantiating (94) with fresh symbols all_140_0, all_140_1, all_140_2,
% 284.26/39.78 | all_140_3, all_140_4 gives:
% 284.26/39.78 | (199) sdtpldt0(all_65_3, all_140_1) = all_140_0 & sdtpldt0(xp, all_75_0) =
% 284.26/39.78 | all_140_1 & aNaturalNumber0(all_75_0) = all_140_2 &
% 284.26/39.78 | aNaturalNumber0(all_65_3) = all_140_4 & aNaturalNumber0(xp) =
% 284.26/39.78 | all_140_3 & $i(all_140_0) & $i(all_140_1) & ( ~ (all_140_2 = 0) | ~
% 284.26/39.78 | (all_140_3 = 0) | ~ (all_140_4 = 0) | all_140_0 = all_65_0)
% 284.26/39.78 |
% 284.26/39.78 | ALPHA: (199) implies:
% 284.26/39.78 | (200) aNaturalNumber0(xp) = all_140_3
% 284.26/39.78 | (201) aNaturalNumber0(all_65_3) = all_140_4
% 284.26/39.78 | (202) aNaturalNumber0(all_75_0) = all_140_2
% 284.26/39.78 |
% 284.26/39.78 | DELTA: instantiating (89) with fresh symbols all_142_0, all_142_1, all_142_2,
% 284.26/39.78 | all_142_3, all_142_4 gives:
% 284.26/39.78 | (203) sdtpldt0(all_56_0, xm) = all_142_1 & sdtpldt0(xr, all_142_1) =
% 284.26/39.78 | all_142_0 & aNaturalNumber0(all_56_0) = all_142_3 &
% 284.26/39.78 | aNaturalNumber0(xr) = all_142_4 & aNaturalNumber0(xm) = all_142_2 &
% 284.26/39.78 | $i(all_142_0) & $i(all_142_1) & ( ~ (all_142_2 = 0) | ~ (all_142_3 =
% 284.26/39.78 | 0) | ~ (all_142_4 = 0) | all_142_0 = all_65_1)
% 284.26/39.78 |
% 284.26/39.78 | ALPHA: (203) implies:
% 284.26/39.78 | (204) aNaturalNumber0(xm) = all_142_2
% 284.26/39.78 | (205) aNaturalNumber0(xr) = all_142_4
% 284.26/39.78 |
% 284.26/39.78 | DELTA: instantiating (85) with fresh symbols all_144_0, all_144_1, all_144_2,
% 284.26/39.78 | all_144_3, all_144_4 gives:
% 284.26/39.78 | (206) sdtpldt0(all_58_0, xm) = all_144_1 & sdtpldt0(xp, all_144_1) =
% 284.26/39.78 | all_144_0 & aNaturalNumber0(all_58_0) = all_144_3 &
% 284.26/39.78 | aNaturalNumber0(xp) = all_144_4 & aNaturalNumber0(xm) = all_144_2 &
% 284.26/39.78 | $i(all_144_0) & $i(all_144_1) & ( ~ (all_144_2 = 0) | ~ (all_144_3 =
% 284.26/39.78 | 0) | ~ (all_144_4 = 0) | all_144_0 = all_65_1)
% 284.26/39.78 |
% 284.26/39.78 | ALPHA: (206) implies:
% 284.26/39.78 | (207) aNaturalNumber0(xm) = all_144_2
% 284.26/39.78 | (208) aNaturalNumber0(xp) = all_144_4
% 284.26/39.78 |
% 284.26/39.78 | DELTA: instantiating (116) with fresh symbols all_146_0, all_146_1, all_146_2,
% 284.26/39.78 | all_146_3, all_146_4, all_146_5, all_146_6, all_146_7, all_146_8 gives:
% 284.26/39.79 | (209) isPrime0(xp) = all_146_5 & doDivides0(xp, xm) = all_146_0 &
% 284.26/39.79 | doDivides0(xp, xn) = all_146_1 & iLess0(all_146_3, all_70_0) =
% 284.26/39.79 | all_146_2 & sdtpldt0(all_146_4, xp) = all_146_3 & sdtpldt0(xn, xm) =
% 284.26/39.79 | all_146_4 & aNaturalNumber0(xp) = all_146_6 & aNaturalNumber0(xm) =
% 284.26/39.79 | all_146_7 & aNaturalNumber0(xn) = all_146_8 & $i(all_146_3) &
% 284.26/39.79 | $i(all_146_4) & ( ~ (all_146_2 = 0) | ~ (all_146_6 = 0) | ~
% 284.26/39.79 | (all_146_7 = 0) | ~ (all_146_8 = 0) | (all_146_0 = 0 & ? [v0: $i]
% 284.26/39.79 | : (sdtasdt0(xp, v0) = xm & aNaturalNumber0(v0) = 0 & $i(v0))) |
% 284.26/39.79 | (all_146_1 = 0 & ? [v0: $i] : (sdtasdt0(xp, v0) = xn &
% 284.26/39.79 | aNaturalNumber0(v0) = 0 & $i(v0))) | ( ~ (all_146_5 = 0) & (xp
% 284.26/39.79 | = sz10 | xp = sz00 | ? [v0: $i] : ( ~ (v0 = xp) & ~ (v0 =
% 284.26/39.79 | sz10) & doDivides0(v0, xp) = 0 & aNaturalNumber0(v0) = 0 &
% 284.26/39.79 | $i(v0) & ? [v1: $i] : (sdtasdt0(v0, v1) = xp &
% 284.26/39.79 | aNaturalNumber0(v1) = 0 & $i(v1))))))
% 284.26/39.79 |
% 284.26/39.79 | ALPHA: (209) implies:
% 284.26/39.79 | (210) $i(all_146_3)
% 284.26/39.79 | (211) aNaturalNumber0(xn) = all_146_8
% 284.26/39.79 | (212) aNaturalNumber0(xm) = all_146_7
% 284.26/39.79 | (213) aNaturalNumber0(xp) = all_146_6
% 284.26/39.79 | (214) sdtpldt0(xn, xm) = all_146_4
% 284.26/39.79 | (215) sdtpldt0(all_146_4, xp) = all_146_3
% 284.26/39.79 | (216) isPrime0(xp) = all_146_5
% 284.26/39.79 |
% 284.26/39.79 | DELTA: instantiating (115) with fresh symbols all_148_0, all_148_1, all_148_2,
% 284.26/39.79 | all_148_3, all_148_4, all_148_5, all_148_6, all_148_7, all_148_8 gives:
% 284.26/39.79 | (217) isPrime0(xp) = all_148_5 & doDivides0(xp, all_77_0) = all_148_0 &
% 284.26/39.79 | doDivides0(xp, xp) = all_148_1 & iLess0(all_148_3, all_70_0) =
% 284.26/39.79 | all_148_2 & sdtpldt0(all_148_4, xp) = all_148_3 & sdtpldt0(xp,
% 284.26/39.79 | all_77_0) = all_148_4 & aNaturalNumber0(all_77_0) = all_148_7 &
% 284.26/39.79 | aNaturalNumber0(xp) = all_148_6 & aNaturalNumber0(xp) = all_148_8 &
% 284.26/39.79 | $i(all_148_3) & $i(all_148_4) & ( ~ (all_148_2 = 0) | ~ (all_148_6 =
% 284.26/39.79 | 0) | ~ (all_148_7 = 0) | ~ (all_148_8 = 0) | (all_148_0 = 0 &
% 284.26/39.79 | ? [v0: $i] : (sdtasdt0(xp, v0) = all_77_0 & aNaturalNumber0(v0) =
% 284.26/39.79 | 0 & $i(v0))) | (all_148_1 = 0 & ? [v0: $i] : (sdtasdt0(xp, v0)
% 284.26/39.79 | = xp & aNaturalNumber0(v0) = 0 & $i(v0))) | ( ~ (all_148_5 = 0)
% 284.26/39.79 | & (xp = sz10 | xp = sz00 | ? [v0: $i] : ( ~ (v0 = xp) & ~ (v0 =
% 284.26/39.79 | sz10) & doDivides0(v0, xp) = 0 & aNaturalNumber0(v0) = 0 &
% 284.26/39.79 | $i(v0) & ? [v1: $i] : (sdtasdt0(v0, v1) = xp &
% 284.26/39.79 | aNaturalNumber0(v1) = 0 & $i(v1))))))
% 284.26/39.79 |
% 284.26/39.79 | ALPHA: (217) implies:
% 284.26/39.79 | (218) aNaturalNumber0(xp) = all_148_8
% 284.26/39.79 | (219) aNaturalNumber0(xp) = all_148_6
% 284.26/39.79 | (220) isPrime0(xp) = all_148_5
% 284.26/39.79 |
% 284.26/39.79 | DELTA: instantiating (112) with fresh symbols all_150_0, all_150_1, all_150_2,
% 284.26/39.79 | all_150_3, all_150_4, all_150_5, all_150_6, all_150_7, all_150_8 gives:
% 284.26/39.79 | (221) isPrime0(xp) = all_150_5 & doDivides0(xp, all_73_0) = all_150_0 &
% 284.26/39.79 | doDivides0(xp, xp) = all_150_1 & iLess0(all_150_3, all_70_0) =
% 284.26/39.79 | all_150_2 & sdtpldt0(all_150_4, xp) = all_150_3 & sdtpldt0(xp,
% 284.26/39.79 | all_73_0) = all_150_4 & aNaturalNumber0(all_73_0) = all_150_7 &
% 284.26/39.79 | aNaturalNumber0(xp) = all_150_6 & aNaturalNumber0(xp) = all_150_8 &
% 284.26/39.79 | $i(all_150_3) & $i(all_150_4) & ( ~ (all_150_2 = 0) | ~ (all_150_6 =
% 284.26/39.79 | 0) | ~ (all_150_7 = 0) | ~ (all_150_8 = 0) | (all_150_0 = 0 &
% 284.26/39.79 | ? [v0: $i] : (sdtasdt0(xp, v0) = all_73_0 & aNaturalNumber0(v0) =
% 284.26/39.79 | 0 & $i(v0))) | (all_150_1 = 0 & ? [v0: $i] : (sdtasdt0(xp, v0)
% 284.26/39.79 | = xp & aNaturalNumber0(v0) = 0 & $i(v0))) | ( ~ (all_150_5 = 0)
% 284.26/39.79 | & (xp = sz10 | xp = sz00 | ? [v0: $i] : ( ~ (v0 = xp) & ~ (v0 =
% 284.26/39.79 | sz10) & doDivides0(v0, xp) = 0 & aNaturalNumber0(v0) = 0 &
% 284.26/39.79 | $i(v0) & ? [v1: $i] : (sdtasdt0(v0, v1) = xp &
% 284.26/39.79 | aNaturalNumber0(v1) = 0 & $i(v1))))))
% 284.26/39.79 |
% 284.26/39.79 | ALPHA: (221) implies:
% 284.26/39.79 | (222) aNaturalNumber0(xp) = all_150_8
% 284.26/39.79 | (223) aNaturalNumber0(xp) = all_150_6
% 284.26/39.79 | (224) isPrime0(xp) = all_150_5
% 284.26/39.79 |
% 284.26/39.79 | DELTA: instantiating (111) with fresh symbols all_152_0, all_152_1, all_152_2,
% 284.26/39.79 | all_152_3, all_152_4, all_152_5, all_152_6, all_152_7, all_152_8 gives:
% 284.26/39.79 | (225) isPrime0(xp) = all_152_5 & doDivides0(xp, xr) = all_152_1 &
% 284.26/39.79 | doDivides0(xp, xm) = all_152_0 & iLess0(all_152_3, all_70_0) =
% 284.26/39.79 | all_152_2 & sdtpldt0(all_152_4, xp) = all_152_3 & sdtpldt0(xr, xm) =
% 284.26/39.79 | all_152_4 & aNaturalNumber0(xr) = all_152_8 & aNaturalNumber0(xp) =
% 284.26/39.79 | all_152_6 & aNaturalNumber0(xm) = all_152_7 & $i(all_152_3) &
% 284.26/39.79 | $i(all_152_4) & ( ~ (all_152_2 = 0) | ~ (all_152_6 = 0) | ~
% 284.26/39.79 | (all_152_7 = 0) | ~ (all_152_8 = 0) | (all_152_0 = 0 & ? [v0: $i]
% 284.26/39.79 | : (sdtasdt0(xp, v0) = xm & aNaturalNumber0(v0) = 0 & $i(v0))) |
% 284.26/39.79 | (all_152_1 = 0 & ? [v0: $i] : (sdtasdt0(xp, v0) = xr &
% 284.26/39.79 | aNaturalNumber0(v0) = 0 & $i(v0))) | ( ~ (all_152_5 = 0) & (xp
% 284.26/39.79 | = sz10 | xp = sz00 | ? [v0: $i] : ( ~ (v0 = xp) & ~ (v0 =
% 284.26/39.79 | sz10) & doDivides0(v0, xp) = 0 & aNaturalNumber0(v0) = 0 &
% 284.26/39.79 | $i(v0) & ? [v1: $i] : (sdtasdt0(v0, v1) = xp &
% 284.26/39.79 | aNaturalNumber0(v1) = 0 & $i(v1))))))
% 284.26/39.79 |
% 284.26/39.79 | ALPHA: (225) implies:
% 284.26/39.79 | (226) aNaturalNumber0(xm) = all_152_7
% 284.26/39.79 | (227) aNaturalNumber0(xp) = all_152_6
% 284.26/39.79 | (228) aNaturalNumber0(xr) = all_152_8
% 284.26/39.79 | (229) sdtpldt0(xr, xm) = all_152_4
% 284.26/39.79 | (230) sdtpldt0(all_152_4, xp) = all_152_3
% 284.26/39.79 | (231) iLess0(all_152_3, all_70_0) = all_152_2
% 284.26/39.79 | (232) doDivides0(xp, xm) = all_152_0
% 284.26/39.79 | (233) doDivides0(xp, xr) = all_152_1
% 284.26/39.79 | (234) isPrime0(xp) = all_152_5
% 284.26/39.80 | (235) ~ (all_152_2 = 0) | ~ (all_152_6 = 0) | ~ (all_152_7 = 0) | ~
% 284.26/39.80 | (all_152_8 = 0) | (all_152_0 = 0 & ? [v0: $i] : (sdtasdt0(xp, v0) =
% 284.26/39.80 | xm & aNaturalNumber0(v0) = 0 & $i(v0))) | (all_152_1 = 0 & ?
% 284.26/39.80 | [v0: $i] : (sdtasdt0(xp, v0) = xr & aNaturalNumber0(v0) = 0 &
% 284.26/39.80 | $i(v0))) | ( ~ (all_152_5 = 0) & (xp = sz10 | xp = sz00 | ? [v0:
% 284.26/39.80 | $i] : ( ~ (v0 = xp) & ~ (v0 = sz10) & doDivides0(v0, xp) = 0 &
% 284.26/39.80 | aNaturalNumber0(v0) = 0 & $i(v0) & ? [v1: $i] : (sdtasdt0(v0,
% 284.26/39.80 | v1) = xp & aNaturalNumber0(v1) = 0 & $i(v1)))))
% 284.26/39.80 |
% 284.26/39.80 | REDUCE: (78), (231) imply:
% 284.26/39.80 | (236) iLess0(all_152_3, all_65_0) = all_152_2
% 284.26/39.80 |
% 284.26/39.80 | BETA: splitting (118) gives:
% 284.26/39.80 |
% 284.26/39.80 | Case 1:
% 284.26/39.80 | |
% 284.26/39.80 | | (237) all_62_0 = 0
% 284.26/39.80 | |
% 284.26/39.80 | | REDUCE: (38), (237) imply:
% 284.26/39.80 | | (238) $false
% 284.26/39.80 | |
% 284.26/39.80 | | CLOSE: (238) is inconsistent.
% 284.26/39.80 | |
% 284.26/39.80 | Case 2:
% 284.26/39.80 | |
% 284.26/39.80 | | (239) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 284.26/39.80 | | (doDivides0(all_67_0, xm) = v3 & aNaturalNumber0(all_67_0) = v1 &
% 284.26/39.80 | | aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v2 & ( ~ (v3 =
% 284.26/39.80 | | 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 284.26/39.80 | |
% 284.26/39.80 | | DELTA: instantiating (239) with fresh symbols all_166_0, all_166_1,
% 284.26/39.80 | | all_166_2, all_166_3 gives:
% 284.26/39.80 | | (240) doDivides0(all_67_0, xm) = all_166_0 & aNaturalNumber0(all_67_0) =
% 284.26/39.80 | | all_166_2 & aNaturalNumber0(xp) = all_166_3 & aNaturalNumber0(xm) =
% 284.26/39.80 | | all_166_1 & ( ~ (all_166_0 = 0) | ~ (all_166_1 = 0) | ~
% 284.26/39.80 | | (all_166_2 = 0) | ~ (all_166_3 = 0))
% 284.26/39.80 | |
% 284.26/39.80 | | ALPHA: (240) implies:
% 284.26/39.80 | | (241) aNaturalNumber0(xm) = all_166_1
% 284.26/39.80 | | (242) aNaturalNumber0(xp) = all_166_3
% 284.26/39.80 | |
% 284.26/39.80 | | BETA: splitting (117) gives:
% 284.26/39.80 | |
% 284.26/39.80 | | Case 1:
% 284.26/39.80 | | |
% 284.26/39.80 | | | (243) all_62_1 = 0
% 284.26/39.80 | | |
% 284.26/39.80 | | | REDUCE: (37), (243) imply:
% 284.26/39.80 | | | (244) $false
% 284.26/39.80 | | |
% 284.26/39.80 | | | CLOSE: (244) is inconsistent.
% 284.26/39.80 | | |
% 284.26/39.80 | | Case 2:
% 284.26/39.80 | | |
% 284.26/39.80 | | | (245) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 284.26/39.80 | | | (doDivides0(all_67_0, xr) = v3 & aNaturalNumber0(all_67_0) = v1 &
% 284.26/39.80 | | | aNaturalNumber0(xr) = v2 & aNaturalNumber0(xp) = v0 & ( ~ (v3 =
% 284.26/39.80 | | | 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 284.26/39.80 | | |
% 284.26/39.80 | | | DELTA: instantiating (245) with fresh symbols all_171_0, all_171_1,
% 284.26/39.80 | | | all_171_2, all_171_3 gives:
% 284.26/39.80 | | | (246) doDivides0(all_67_0, xr) = all_171_0 & aNaturalNumber0(all_67_0)
% 284.26/39.80 | | | = all_171_2 & aNaturalNumber0(xr) = all_171_1 &
% 284.26/39.80 | | | aNaturalNumber0(xp) = all_171_3 & ( ~ (all_171_0 = 0) | ~
% 284.26/39.80 | | | (all_171_1 = 0) | ~ (all_171_2 = 0) | ~ (all_171_3 = 0))
% 284.26/39.80 | | |
% 284.26/39.80 | | | ALPHA: (246) implies:
% 284.26/39.80 | | | (247) aNaturalNumber0(xp) = all_171_3
% 284.26/39.80 | | |
% 284.26/39.80 | | | BETA: splitting (109) gives:
% 284.26/39.80 | | |
% 284.26/39.80 | | | Case 1:
% 284.26/39.80 | | | |
% 284.26/39.80 | | | | (248) all_65_0 = all_65_2
% 284.26/39.80 | | | |
% 284.26/39.80 | | | | REDUCE: (42), (248) imply:
% 284.26/39.80 | | | | (249) $false
% 284.26/39.80 | | | |
% 284.26/39.80 | | | | CLOSE: (249) is inconsistent.
% 284.26/39.80 | | | |
% 284.26/39.80 | | | Case 2:
% 284.26/39.80 | | | |
% 284.26/39.80 | | | | (250) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 284.26/39.80 | | | | (sdtlseqdt0(all_65_0, all_65_2) = v2 &
% 284.26/39.80 | | | | aNaturalNumber0(all_65_0) = v1 & aNaturalNumber0(all_65_2) =
% 284.26/39.80 | | | | v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 284.26/39.80 | | | |
% 284.26/39.80 | | | | DELTA: instantiating (250) with fresh symbols all_176_0, all_176_1,
% 284.26/39.80 | | | | all_176_2 gives:
% 284.26/39.80 | | | | (251) sdtlseqdt0(all_65_0, all_65_2) = all_176_0 &
% 284.26/39.80 | | | | aNaturalNumber0(all_65_0) = all_176_1 &
% 284.26/39.80 | | | | aNaturalNumber0(all_65_2) = all_176_2 & ( ~ (all_176_0 = 0) |
% 284.26/39.80 | | | | ~ (all_176_1 = 0) | ~ (all_176_2 = 0))
% 284.26/39.80 | | | |
% 284.26/39.80 | | | | ALPHA: (251) implies:
% 284.26/39.80 | | | | (252) aNaturalNumber0(all_65_2) = all_176_2
% 284.26/39.80 | | | | (253) aNaturalNumber0(all_65_0) = all_176_1
% 284.26/39.80 | | | |
% 284.26/39.80 | | | | BETA: splitting (80) gives:
% 284.26/39.80 | | | |
% 284.26/39.80 | | | | Case 1:
% 284.26/39.80 | | | | |
% 284.26/39.80 | | | | | (254) xp = sz00
% 284.26/39.80 | | | | |
% 284.26/39.80 | | | | | REDUCE: (52), (254) imply:
% 284.26/39.80 | | | | | (255) $false
% 284.26/39.80 | | | | |
% 284.26/39.80 | | | | | CLOSE: (255) is inconsistent.
% 284.26/39.80 | | | | |
% 284.26/39.80 | | | | Case 2:
% 284.26/39.80 | | | | |
% 284.26/39.80 | | | | | (256) xp = sz10 | ? [v0: $i] : (isPrime0(v0) = 0 & doDivides0(v0,
% 284.26/39.80 | | | | | xp) = 0 & aNaturalNumber0(v0) = 0 & $i(v0))
% 284.26/39.80 | | | | |
% 284.26/39.80 | | | | | BETA: splitting (113) gives:
% 284.26/39.80 | | | | |
% 284.26/39.80 | | | | | Case 1:
% 284.26/39.80 | | | | | |
% 284.26/39.80 | | | | | | (257) all_62_1 = 0
% 284.26/39.80 | | | | | |
% 284.26/39.80 | | | | | | REDUCE: (37), (257) imply:
% 284.26/39.80 | | | | | | (258) $false
% 284.26/39.80 | | | | | |
% 284.26/39.80 | | | | | | CLOSE: (258) is inconsistent.
% 284.26/39.80 | | | | | |
% 284.26/39.80 | | | | | Case 2:
% 284.26/39.80 | | | | | |
% 284.26/39.81 | | | | | | (259) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 284.26/39.81 | | | | | | (doDivides0(all_60_0, xr) = v3 & aNaturalNumber0(all_60_0)
% 284.26/39.81 | | | | | | = v1 & aNaturalNumber0(xr) = v2 & aNaturalNumber0(xp) =
% 284.26/39.81 | | | | | | v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 =
% 284.26/39.81 | | | | | | 0)))
% 284.26/39.81 | | | | | |
% 284.26/39.81 | | | | | | DELTA: instantiating (259) with fresh symbols all_184_0, all_184_1,
% 284.26/39.81 | | | | | | all_184_2, all_184_3 gives:
% 284.26/39.81 | | | | | | (260) doDivides0(all_60_0, xr) = all_184_0 &
% 284.26/39.81 | | | | | | aNaturalNumber0(all_60_0) = all_184_2 & aNaturalNumber0(xr)
% 284.26/39.81 | | | | | | = all_184_1 & aNaturalNumber0(xp) = all_184_3 & ( ~
% 284.26/39.81 | | | | | | (all_184_0 = 0) | ~ (all_184_1 = 0) | ~ (all_184_2 = 0)
% 284.26/39.81 | | | | | | | ~ (all_184_3 = 0))
% 284.26/39.81 | | | | | |
% 284.26/39.81 | | | | | | ALPHA: (260) implies:
% 284.26/39.81 | | | | | | (261) aNaturalNumber0(xp) = all_184_3
% 284.26/39.81 | | | | | | (262) aNaturalNumber0(xr) = all_184_1
% 284.26/39.81 | | | | | |
% 284.26/39.81 | | | | | | BETA: splitting (114) gives:
% 284.26/39.81 | | | | | |
% 284.26/39.81 | | | | | | Case 1:
% 284.26/39.81 | | | | | | |
% 284.26/39.81 | | | | | | | (263) all_62_0 = 0
% 284.26/39.81 | | | | | | |
% 284.26/39.81 | | | | | | | REDUCE: (38), (263) imply:
% 284.26/39.81 | | | | | | | (264) $false
% 284.26/39.81 | | | | | | |
% 284.26/39.81 | | | | | | | CLOSE: (264) is inconsistent.
% 284.26/39.81 | | | | | | |
% 284.26/39.81 | | | | | | Case 2:
% 284.26/39.81 | | | | | | |
% 284.26/39.81 | | | | | | | (265) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any]
% 284.26/39.81 | | | | | | | : (doDivides0(all_60_0, xm) = v3 &
% 284.26/39.81 | | | | | | | aNaturalNumber0(all_60_0) = v1 & aNaturalNumber0(xp) =
% 284.26/39.81 | | | | | | | v0 & aNaturalNumber0(xm) = v2 & ( ~ (v3 = 0) | ~ (v2 =
% 284.26/39.81 | | | | | | | 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 284.26/39.81 | | | | | | |
% 284.26/39.81 | | | | | | | DELTA: instantiating (265) with fresh symbols all_189_0,
% 284.26/39.81 | | | | | | | all_189_1, all_189_2, all_189_3 gives:
% 284.26/39.81 | | | | | | | (266) doDivides0(all_60_0, xm) = all_189_0 &
% 284.26/39.81 | | | | | | | aNaturalNumber0(all_60_0) = all_189_2 &
% 284.26/39.81 | | | | | | | aNaturalNumber0(xp) = all_189_3 & aNaturalNumber0(xm) =
% 284.26/39.81 | | | | | | | all_189_1 & ( ~ (all_189_0 = 0) | ~ (all_189_1 = 0) | ~
% 284.26/39.81 | | | | | | | (all_189_2 = 0) | ~ (all_189_3 = 0))
% 284.26/39.81 | | | | | | |
% 284.26/39.81 | | | | | | | ALPHA: (266) implies:
% 284.26/39.81 | | | | | | | (267) aNaturalNumber0(xm) = all_189_1
% 284.26/39.81 | | | | | | | (268) aNaturalNumber0(xp) = all_189_3
% 284.26/39.81 | | | | | | |
% 284.26/39.81 | | | | | | | BETA: splitting (108) gives:
% 284.26/39.81 | | | | | | |
% 284.26/39.81 | | | | | | | Case 1:
% 284.26/39.81 | | | | | | | |
% 284.26/39.81 | | | | | | | | (269) xr = xn
% 284.26/39.81 | | | | | | | |
% 284.26/39.81 | | | | | | | | REDUCE: (10), (269) imply:
% 284.26/39.81 | | | | | | | | (270) $false
% 284.26/39.81 | | | | | | | |
% 284.26/39.81 | | | | | | | | CLOSE: (270) is inconsistent.
% 284.26/39.81 | | | | | | | |
% 284.26/39.81 | | | | | | | Case 2:
% 284.26/39.81 | | | | | | | |
% 284.26/39.81 | | | | | | | | (271) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 284.26/39.81 | | | | | | | | (sdtlseqdt0(xn, xr) = v2 & aNaturalNumber0(xr) = v0 &
% 284.26/39.81 | | | | | | | | aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0)
% 284.26/39.81 | | | | | | | | | ~ (v0 = 0)))
% 284.26/39.81 | | | | | | | |
% 284.26/39.81 | | | | | | | | DELTA: instantiating (271) with fresh symbols all_194_0,
% 284.26/39.81 | | | | | | | | all_194_1, all_194_2 gives:
% 284.26/39.81 | | | | | | | | (272) sdtlseqdt0(xn, xr) = all_194_0 & aNaturalNumber0(xr) =
% 284.26/39.81 | | | | | | | | all_194_2 & aNaturalNumber0(xn) = all_194_1 & ( ~
% 284.26/39.81 | | | | | | | | (all_194_0 = 0) | ~ (all_194_1 = 0) | ~ (all_194_2
% 284.26/39.81 | | | | | | | | = 0))
% 284.26/39.81 | | | | | | | |
% 284.26/39.81 | | | | | | | | ALPHA: (272) implies:
% 284.26/39.81 | | | | | | | | (273) aNaturalNumber0(xn) = all_194_1
% 284.26/39.81 | | | | | | | | (274) aNaturalNumber0(xr) = all_194_2
% 284.26/39.81 | | | | | | | |
% 284.26/39.81 | | | | | | | | BETA: splitting (256) gives:
% 284.26/39.81 | | | | | | | |
% 284.26/39.81 | | | | | | | | Case 1:
% 284.26/39.81 | | | | | | | | |
% 284.26/39.81 | | | | | | | | | (275) xp = sz10
% 284.26/39.81 | | | | | | | | |
% 284.26/39.81 | | | | | | | | | REDUCE: (53), (275) imply:
% 284.26/39.81 | | | | | | | | | (276) $false
% 284.26/39.81 | | | | | | | | |
% 284.26/39.81 | | | | | | | | | CLOSE: (276) is inconsistent.
% 284.26/39.81 | | | | | | | | |
% 284.26/39.81 | | | | | | | | Case 2:
% 284.26/39.81 | | | | | | | | |
% 284.26/39.81 | | | | | | | | |
% 284.26/39.81 | | | | | | | | | GROUND_INST: instantiating (20) with all_110_2, all_120_2, xn,
% 284.26/39.81 | | | | | | | | | simplifying with (152), (167) gives:
% 284.26/39.81 | | | | | | | | | (277) all_120_2 = all_110_2
% 284.26/39.81 | | | | | | | | |
% 284.26/39.81 | | | | | | | | | GROUND_INST: instantiating (20) with all_108_2, all_120_2, xn,
% 284.26/39.81 | | | | | | | | | simplifying with (147), (167) gives:
% 284.26/39.81 | | | | | | | | | (278) all_120_2 = all_108_2
% 284.26/39.81 | | | | | | | | |
% 284.26/39.81 | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_146_8, xn,
% 284.26/39.81 | | | | | | | | | simplifying with (2), (211) gives:
% 284.26/39.81 | | | | | | | | | (279) all_146_8 = 0
% 284.26/39.81 | | | | | | | | |
% 284.26/39.81 | | | | | | | | | GROUND_INST: instantiating (20) with all_120_2, all_146_8, xn,
% 284.26/39.81 | | | | | | | | | simplifying with (167), (211) gives:
% 284.26/39.81 | | | | | | | | | (280) all_146_8 = all_120_2
% 284.26/39.81 | | | | | | | | |
% 284.26/39.81 | | | | | | | | | GROUND_INST: instantiating (20) with all_146_8, all_194_1, xn,
% 284.26/39.81 | | | | | | | | | simplifying with (211), (273) gives:
% 284.26/39.81 | | | | | | | | | (281) all_194_1 = all_146_8
% 284.26/39.81 | | | | | | | | |
% 284.26/39.81 | | | | | | | | | GROUND_INST: instantiating (20) with all_134_4, all_194_1, xn,
% 284.26/39.81 | | | | | | | | | simplifying with (185), (273) gives:
% 284.26/39.81 | | | | | | | | | (282) all_194_1 = all_134_4
% 284.26/39.81 | | | | | | | | |
% 284.26/39.81 | | | | | | | | | GROUND_INST: instantiating (20) with all_106_1, all_108_1, xm,
% 284.26/39.81 | | | | | | | | | simplifying with (142), (148) gives:
% 284.26/39.81 | | | | | | | | | (283) all_108_1 = all_106_1
% 284.26/39.81 | | | | | | | | |
% 284.26/39.81 | | | | | | | | | GROUND_INST: instantiating (20) with all_108_1, all_120_1, xm,
% 284.26/39.81 | | | | | | | | | simplifying with (148), (168) gives:
% 284.26/39.81 | | | | | | | | | (284) all_120_1 = all_108_1
% 284.26/39.81 | | | | | | | | |
% 284.26/39.81 | | | | | | | | | GROUND_INST: instantiating (20) with all_120_1, all_124_1, xm,
% 284.26/39.81 | | | | | | | | | simplifying with (168), (172) gives:
% 284.26/39.81 | | | | | | | | | (285) all_124_1 = all_120_1
% 284.26/39.81 | | | | | | | | |
% 284.26/39.81 | | | | | | | | | GROUND_INST: instantiating (20) with all_130_1, all_134_3, xm,
% 284.26/39.81 | | | | | | | | | simplifying with (180), (186) gives:
% 284.26/39.81 | | | | | | | | | (286) all_134_3 = all_130_1
% 284.26/39.81 | | | | | | | | |
% 284.26/39.81 | | | | | | | | | GROUND_INST: instantiating (20) with all_134_3, all_138_2, xm,
% 284.26/39.81 | | | | | | | | | simplifying with (186), (193) gives:
% 284.26/39.81 | | | | | | | | | (287) all_138_2 = all_134_3
% 284.26/39.81 | | | | | | | | |
% 284.26/39.81 | | | | | | | | | GROUND_INST: instantiating (20) with all_110_1, all_138_2, xm,
% 284.26/39.81 | | | | | | | | | simplifying with (153), (193) gives:
% 284.26/39.81 | | | | | | | | | (288) all_138_2 = all_110_1
% 284.26/39.81 | | | | | | | | |
% 284.26/39.81 | | | | | | | | | GROUND_INST: instantiating (20) with all_130_1, all_142_2, xm,
% 284.26/39.81 | | | | | | | | | simplifying with (180), (204) gives:
% 284.26/39.81 | | | | | | | | | (289) all_142_2 = all_130_1
% 284.26/39.81 | | | | | | | | |
% 284.26/39.81 | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_144_2, xm,
% 284.26/39.81 | | | | | | | | | simplifying with (3), (207) gives:
% 284.26/39.81 | | | | | | | | | (290) all_144_2 = 0
% 284.26/39.81 | | | | | | | | |
% 284.26/39.81 | | | | | | | | | GROUND_INST: instantiating (20) with all_142_2, all_144_2, xm,
% 284.26/39.81 | | | | | | | | | simplifying with (204), (207) gives:
% 284.26/39.81 | | | | | | | | | (291) all_144_2 = all_142_2
% 284.26/39.81 | | | | | | | | |
% 284.26/39.81 | | | | | | | | | GROUND_INST: instantiating (20) with all_136_3, all_146_7, xm,
% 284.26/39.81 | | | | | | | | | simplifying with (189), (212) gives:
% 284.26/39.81 | | | | | | | | | (292) all_146_7 = all_136_3
% 284.26/39.81 | | | | | | | | |
% 284.26/39.81 | | | | | | | | | GROUND_INST: instantiating (20) with all_124_1, all_146_7, xm,
% 284.26/39.81 | | | | | | | | | simplifying with (172), (212) gives:
% 284.26/39.81 | | | | | | | | | (293) all_146_7 = all_124_1
% 284.26/39.81 | | | | | | | | |
% 284.26/39.81 | | | | | | | | | GROUND_INST: instantiating (20) with all_146_7, all_152_7, xm,
% 284.26/39.81 | | | | | | | | | simplifying with (212), (226) gives:
% 284.26/39.81 | | | | | | | | | (294) all_152_7 = all_146_7
% 284.26/39.81 | | | | | | | | |
% 284.26/39.81 | | | | | | | | | GROUND_INST: instantiating (20) with all_152_7, all_166_1, xm,
% 284.26/39.81 | | | | | | | | | simplifying with (226), (241) gives:
% 284.26/39.81 | | | | | | | | | (295) all_166_1 = all_152_7
% 284.26/39.81 | | | | | | | | |
% 284.26/39.81 | | | | | | | | | GROUND_INST: instantiating (20) with all_92_1, all_166_1, xm,
% 284.26/39.81 | | | | | | | | | simplifying with (120), (241) gives:
% 284.26/39.81 | | | | | | | | | (296) all_166_1 = all_92_1
% 284.26/39.81 | | | | | | | | |
% 284.26/39.81 | | | | | | | | | GROUND_INST: instantiating (20) with all_134_3, all_189_1, xm,
% 284.26/39.81 | | | | | | | | | simplifying with (186), (267) gives:
% 284.26/39.81 | | | | | | | | | (297) all_189_1 = all_134_3
% 284.26/39.81 | | | | | | | | |
% 284.26/39.81 | | | | | | | | | GROUND_INST: instantiating (20) with all_106_1, all_189_1, xm,
% 284.26/39.81 | | | | | | | | | simplifying with (142), (267) gives:
% 284.26/39.81 | | | | | | | | | (298) all_189_1 = all_106_1
% 284.26/39.81 | | | | | | | | |
% 284.26/39.81 | | | | | | | | | GROUND_INST: instantiating (20) with all_100_1, all_189_1, xm,
% 284.26/39.81 | | | | | | | | | simplifying with (133), (267) gives:
% 284.26/39.81 | | | | | | | | | (299) all_189_1 = all_100_1
% 284.26/39.81 | | | | | | | | |
% 284.26/39.81 | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_104_2, xp,
% 284.26/39.81 | | | | | | | | | simplifying with (4), (140) gives:
% 284.26/39.81 | | | | | | | | | (300) all_104_2 = 0
% 284.26/39.81 | | | | | | | | |
% 284.26/39.81 | | | | | | | | | GROUND_INST: instantiating (20) with all_94_2, all_104_2, xp,
% 284.26/39.81 | | | | | | | | | simplifying with (122), (140) gives:
% 284.26/39.81 | | | | | | | | | (301) all_104_2 = all_94_2
% 284.26/39.81 | | | | | | | | |
% 284.26/39.81 | | | | | | | | | GROUND_INST: instantiating (20) with all_104_2, all_114_2, xp,
% 284.26/39.81 | | | | | | | | | simplifying with (140), (160) gives:
% 284.26/39.82 | | | | | | | | | (302) all_114_2 = all_104_2
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_114_2, all_126_2, xp,
% 284.26/39.82 | | | | | | | | | simplifying with (160), (175) gives:
% 284.26/39.82 | | | | | | | | | (303) all_126_2 = all_114_2
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_126_2, all_134_2, xp,
% 284.26/39.82 | | | | | | | | | simplifying with (175), (187) gives:
% 284.26/39.82 | | | | | | | | | (304) all_134_2 = all_126_2
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_134_2, all_136_2, xp,
% 284.26/39.82 | | | | | | | | | simplifying with (187), (190) gives:
% 284.26/39.82 | | | | | | | | | (305) all_136_2 = all_134_2
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_122_2, all_138_4, xp,
% 284.26/39.82 | | | | | | | | | simplifying with (170), (194) gives:
% 284.26/39.82 | | | | | | | | | (306) all_138_4 = all_122_2
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_116_1, all_138_4, xp,
% 284.26/39.82 | | | | | | | | | simplifying with (162), (194) gives:
% 284.26/39.82 | | | | | | | | | (307) all_138_4 = all_116_1
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_136_2, all_146_6, xp,
% 284.26/39.82 | | | | | | | | | simplifying with (190), (213) gives:
% 284.26/39.82 | | | | | | | | | (308) all_146_6 = all_136_2
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_144_4, all_150_8, xp,
% 284.26/39.82 | | | | | | | | | simplifying with (208), (222) gives:
% 284.26/39.82 | | | | | | | | | (309) all_150_8 = all_144_4
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_138_4, all_150_8, xp,
% 284.26/39.82 | | | | | | | | | simplifying with (194), (222) gives:
% 284.26/39.82 | | | | | | | | | (310) all_150_8 = all_138_4
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_150_8, all_150_6, xp,
% 284.26/39.82 | | | | | | | | | simplifying with (222), (223) gives:
% 284.26/39.82 | | | | | | | | | (311) all_150_6 = all_150_8
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_148_8, all_150_6, xp,
% 284.26/39.82 | | | | | | | | | simplifying with (218), (223) gives:
% 284.26/39.82 | | | | | | | | | (312) all_150_6 = all_148_8
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_128_2, all_150_6, xp,
% 284.26/39.82 | | | | | | | | | simplifying with (177), (223) gives:
% 284.26/39.82 | | | | | | | | | (313) all_150_6 = all_128_2
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_148_6, all_152_6, xp,
% 284.26/39.82 | | | | | | | | | simplifying with (219), (227) gives:
% 284.26/39.82 | | | | | | | | | (314) all_152_6 = all_148_6
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_146_6, all_152_6, xp,
% 284.26/39.82 | | | | | | | | | simplifying with (213), (227) gives:
% 284.26/39.82 | | | | | | | | | (315) all_152_6 = all_146_6
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_102_1, all_152_6, xp,
% 284.26/39.82 | | | | | | | | | simplifying with (135), (227) gives:
% 284.26/39.82 | | | | | | | | | (316) all_152_6 = all_102_1
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_116_1, all_171_3, xp,
% 284.26/39.82 | | | | | | | | | simplifying with (162), (247) gives:
% 284.26/39.82 | | | | | | | | | (317) all_171_3 = all_116_1
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_112_1, all_171_3, xp,
% 284.26/39.82 | | | | | | | | | simplifying with (155), (247) gives:
% 284.26/39.82 | | | | | | | | | (318) all_171_3 = all_112_1
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_104_2, all_171_3, xp,
% 284.26/39.82 | | | | | | | | | simplifying with (140), (247) gives:
% 284.26/39.82 | | | | | | | | | (319) all_171_3 = all_104_2
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_150_8, all_184_3, xp,
% 284.26/39.82 | | | | | | | | | simplifying with (222), (261) gives:
% 284.26/39.82 | | | | | | | | | (320) all_184_3 = all_150_8
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_96_1, all_184_3, xp,
% 284.26/39.82 | | | | | | | | | simplifying with (124), (261) gives:
% 284.26/39.82 | | | | | | | | | (321) all_184_3 = all_96_1
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_166_3, all_189_3, xp,
% 284.26/39.82 | | | | | | | | | simplifying with (242), (268) gives:
% 284.26/39.82 | | | | | | | | | (322) all_189_3 = all_166_3
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_146_6, all_189_3, xp,
% 284.26/39.82 | | | | | | | | | simplifying with (213), (268) gives:
% 284.26/39.82 | | | | | | | | | (323) all_189_3 = all_146_6
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_140_3, all_189_3, xp,
% 284.26/39.82 | | | | | | | | | simplifying with (200), (268) gives:
% 284.26/39.82 | | | | | | | | | (324) all_189_3 = all_140_3
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_128_1, xr,
% 284.26/39.82 | | | | | | | | | simplifying with (8), (178) gives:
% 284.26/39.82 | | | | | | | | | (325) all_128_1 = 0
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_118_2, all_128_1, xr,
% 284.26/39.82 | | | | | | | | | simplifying with (165), (178) gives:
% 284.26/39.82 | | | | | | | | | (326) all_128_1 = all_118_2
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_118_2, all_138_3, xr,
% 284.26/39.82 | | | | | | | | | simplifying with (165), (195) gives:
% 284.26/39.82 | | | | | | | | | (327) all_138_3 = all_118_2
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_128_1, all_142_4, xr,
% 284.26/39.82 | | | | | | | | | simplifying with (178), (205) gives:
% 284.26/39.82 | | | | | | | | | (328) all_142_4 = all_128_1
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_152_8, all_184_1, xr,
% 284.26/39.82 | | | | | | | | | simplifying with (228), (262) gives:
% 284.26/39.82 | | | | | | | | | (329) all_184_1 = all_152_8
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_142_4, all_184_1, xr,
% 284.26/39.82 | | | | | | | | | simplifying with (205), (262) gives:
% 284.26/39.82 | | | | | | | | | (330) all_184_1 = all_142_4
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_124_2, all_184_1, xr,
% 284.26/39.82 | | | | | | | | | simplifying with (173), (262) gives:
% 284.26/39.82 | | | | | | | | | (331) all_184_1 = all_124_2
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_138_3, all_194_2, xr,
% 284.26/39.82 | | | | | | | | | simplifying with (195), (274) gives:
% 284.26/39.82 | | | | | | | | | (332) all_194_2 = all_138_3
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_106_2, all_194_2, xr,
% 284.26/39.82 | | | | | | | | | simplifying with (143), (274) gives:
% 284.26/39.82 | | | | | | | | | (333) all_194_2 = all_106_2
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_106_0, all_112_2,
% 284.26/39.82 | | | | | | | | | all_65_3, simplifying with (144), (156) gives:
% 284.26/39.82 | | | | | | | | | (334) all_112_2 = all_106_0
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_112_2, all_140_4,
% 284.26/39.82 | | | | | | | | | all_65_3, simplifying with (156), (201) gives:
% 284.26/39.82 | | | | | | | | | (335) all_140_4 = all_112_2
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_102_2, all_140_4,
% 284.26/39.82 | | | | | | | | | all_65_3, simplifying with (136), (201) gives:
% 284.26/39.82 | | | | | | | | | (336) all_140_4 = all_102_2
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_132_2, all_176_2,
% 284.26/39.82 | | | | | | | | | all_65_2, simplifying with (182), (252) gives:
% 284.26/39.82 | | | | | | | | | (337) all_176_2 = all_132_2
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_102_0, all_176_2,
% 284.26/39.82 | | | | | | | | | all_65_2, simplifying with (137), (252) gives:
% 284.26/39.82 | | | | | | | | | (338) all_176_2 = all_102_0
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_98_2, all_176_2,
% 284.26/39.82 | | | | | | | | | all_65_2, simplifying with (128), (252) gives:
% 284.26/39.82 | | | | | | | | | (339) all_176_2 = all_98_2
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_108_0, all_116_2,
% 284.26/39.82 | | | | | | | | | all_65_1, simplifying with (149), (163) gives:
% 284.26/39.82 | | | | | | | | | (340) all_116_2 = all_108_0
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_96_2, all_116_2,
% 284.26/39.82 | | | | | | | | | all_65_1, simplifying with (125), (163) gives:
% 284.26/39.82 | | | | | | | | | (341) all_116_2 = all_96_2
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_98_0, all_176_1,
% 284.26/39.82 | | | | | | | | | all_65_0, simplifying with (129), (253) gives:
% 284.26/39.82 | | | | | | | | | (342) all_176_1 = all_98_0
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_96_0, all_176_1,
% 284.26/39.82 | | | | | | | | | all_65_0, simplifying with (126), (253) gives:
% 284.26/39.82 | | | | | | | | | (343) all_176_1 = all_96_0
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_132_1, all_75_0,
% 284.26/39.82 | | | | | | | | | simplifying with (70), (183) gives:
% 284.26/39.82 | | | | | | | | | (344) all_132_1 = 0
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_132_1, all_140_2,
% 284.26/39.82 | | | | | | | | | all_75_0, simplifying with (183), (202) gives:
% 284.26/39.82 | | | | | | | | | (345) all_140_2 = all_132_1
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (20) with all_98_1, all_140_2,
% 284.26/39.82 | | | | | | | | | all_75_0, simplifying with (130), (202) gives:
% 284.26/39.82 | | | | | | | | | (346) all_140_2 = all_98_1
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (22) with all_65_1, all_146_4, xm,
% 284.26/39.82 | | | | | | | | | xn, simplifying with (45), (214) gives:
% 284.26/39.82 | | | | | | | | | (347) all_146_4 = all_65_1
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (22) with all_65_3, all_152_4, xm,
% 284.26/39.82 | | | | | | | | | xr, simplifying with (46), (229) gives:
% 284.26/39.82 | | | | | | | | | (348) all_152_4 = all_65_3
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (22) with all_138_1, all_152_4, xm,
% 284.26/39.82 | | | | | | | | | xr, simplifying with (197), (229) gives:
% 284.26/39.82 | | | | | | | | | (349) all_152_4 = all_138_1
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (24) with all_62_0, all_152_0, xm,
% 284.26/39.82 | | | | | | | | | xp, simplifying with (39), (232) gives:
% 284.26/39.82 | | | | | | | | | (350) all_152_0 = all_62_0
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (24) with all_62_1, all_152_1, xr,
% 284.26/39.82 | | | | | | | | | xp, simplifying with (40), (233) gives:
% 284.26/39.82 | | | | | | | | | (351) all_152_1 = all_62_1
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (21) with 0, all_150_5, xp,
% 284.26/39.82 | | | | | | | | | simplifying with (57), (224) gives:
% 284.26/39.82 | | | | | | | | | (352) all_150_5 = 0
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (21) with all_148_5, all_150_5, xp,
% 284.26/39.82 | | | | | | | | | simplifying with (220), (224) gives:
% 284.26/39.82 | | | | | | | | | (353) all_150_5 = all_148_5
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (21) with all_150_5, all_152_5, xp,
% 284.26/39.82 | | | | | | | | | simplifying with (224), (234) gives:
% 284.26/39.82 | | | | | | | | | (354) all_152_5 = all_150_5
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | GROUND_INST: instantiating (21) with all_146_5, all_152_5, xp,
% 284.26/39.82 | | | | | | | | | simplifying with (216), (234) gives:
% 284.26/39.82 | | | | | | | | | (355) all_152_5 = all_146_5
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | COMBINE_EQS: (281), (282) imply:
% 284.26/39.82 | | | | | | | | | (356) all_146_8 = all_134_4
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | SIMP: (356) implies:
% 284.26/39.82 | | | | | | | | | (357) all_146_8 = all_134_4
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | COMBINE_EQS: (332), (333) imply:
% 284.26/39.82 | | | | | | | | | (358) all_138_3 = all_106_2
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | SIMP: (358) implies:
% 284.26/39.82 | | | | | | | | | (359) all_138_3 = all_106_2
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | COMBINE_EQS: (298), (299) imply:
% 284.26/39.82 | | | | | | | | | (360) all_106_1 = all_100_1
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | SIMP: (360) implies:
% 284.26/39.82 | | | | | | | | | (361) all_106_1 = all_100_1
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | COMBINE_EQS: (297), (299) imply:
% 284.26/39.82 | | | | | | | | | (362) all_134_3 = all_100_1
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | SIMP: (362) implies:
% 284.26/39.82 | | | | | | | | | (363) all_134_3 = all_100_1
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | COMBINE_EQS: (322), (323) imply:
% 284.26/39.82 | | | | | | | | | (364) all_166_3 = all_146_6
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | COMBINE_EQS: (322), (324) imply:
% 284.26/39.82 | | | | | | | | | (365) all_166_3 = all_140_3
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | COMBINE_EQS: (329), (330) imply:
% 284.26/39.82 | | | | | | | | | (366) all_152_8 = all_142_4
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | COMBINE_EQS: (329), (331) imply:
% 284.26/39.82 | | | | | | | | | (367) all_152_8 = all_124_2
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | COMBINE_EQS: (320), (321) imply:
% 284.26/39.82 | | | | | | | | | (368) all_150_8 = all_96_1
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | SIMP: (368) implies:
% 284.26/39.82 | | | | | | | | | (369) all_150_8 = all_96_1
% 284.26/39.82 | | | | | | | | |
% 284.26/39.82 | | | | | | | | | COMBINE_EQS: (342), (343) imply:
% 284.26/39.83 | | | | | | | | | (370) all_98_0 = all_96_0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (337), (339) imply:
% 284.26/39.83 | | | | | | | | | (371) all_132_2 = all_98_2
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (337), (338) imply:
% 284.26/39.83 | | | | | | | | | (372) all_132_2 = all_102_0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (317), (318) imply:
% 284.26/39.83 | | | | | | | | | (373) all_116_1 = all_112_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (373) implies:
% 284.26/39.83 | | | | | | | | | (374) all_116_1 = all_112_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (318), (319) imply:
% 284.26/39.83 | | | | | | | | | (375) all_112_1 = all_104_2
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (295), (296) imply:
% 284.26/39.83 | | | | | | | | | (376) all_152_7 = all_92_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (376) implies:
% 284.26/39.83 | | | | | | | | | (377) all_152_7 = all_92_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (364), (365) imply:
% 284.26/39.83 | | | | | | | | | (378) all_146_6 = all_140_3
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (378) implies:
% 284.26/39.83 | | | | | | | | | (379) all_146_6 = all_140_3
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (348), (349) imply:
% 284.26/39.83 | | | | | | | | | (380) all_138_1 = all_65_3
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (380) implies:
% 284.26/39.83 | | | | | | | | | (381) all_138_1 = all_65_3
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (354), (355) imply:
% 284.26/39.83 | | | | | | | | | (382) all_150_5 = all_146_5
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (382) implies:
% 284.26/39.83 | | | | | | | | | (383) all_150_5 = all_146_5
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (314), (316) imply:
% 284.26/39.83 | | | | | | | | | (384) all_148_6 = all_102_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (314), (315) imply:
% 284.26/39.83 | | | | | | | | | (385) all_148_6 = all_146_6
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (294), (377) imply:
% 284.26/39.83 | | | | | | | | | (386) all_146_7 = all_92_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (386) implies:
% 284.26/39.83 | | | | | | | | | (387) all_146_7 = all_92_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (366), (367) imply:
% 284.26/39.83 | | | | | | | | | (388) all_142_4 = all_124_2
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (388) implies:
% 284.26/39.83 | | | | | | | | | (389) all_142_4 = all_124_2
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (352), (353) imply:
% 284.26/39.83 | | | | | | | | | (390) all_148_5 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (353), (383) imply:
% 284.26/39.83 | | | | | | | | | (391) all_148_5 = all_146_5
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (311), (312) imply:
% 284.26/39.83 | | | | | | | | | (392) all_150_8 = all_148_8
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (392) implies:
% 284.26/39.83 | | | | | | | | | (393) all_150_8 = all_148_8
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (312), (313) imply:
% 284.26/39.83 | | | | | | | | | (394) all_148_8 = all_128_2
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (309), (310) imply:
% 284.26/39.83 | | | | | | | | | (395) all_144_4 = all_138_4
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (309), (393) imply:
% 284.26/39.83 | | | | | | | | | (396) all_148_8 = all_144_4
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (396) implies:
% 284.26/39.83 | | | | | | | | | (397) all_148_8 = all_144_4
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (309), (369) imply:
% 284.26/39.83 | | | | | | | | | (398) all_144_4 = all_96_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (390), (391) imply:
% 284.26/39.83 | | | | | | | | | (399) all_146_5 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (399) implies:
% 284.26/39.83 | | | | | | | | | (400) all_146_5 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (384), (385) imply:
% 284.26/39.83 | | | | | | | | | (401) all_146_6 = all_102_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (401) implies:
% 284.26/39.83 | | | | | | | | | (402) all_146_6 = all_102_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (394), (397) imply:
% 284.26/39.83 | | | | | | | | | (403) all_144_4 = all_128_2
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (403) implies:
% 284.26/39.83 | | | | | | | | | (404) all_144_4 = all_128_2
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (308), (379) imply:
% 284.26/39.83 | | | | | | | | | (405) all_140_3 = all_136_2
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (379), (402) imply:
% 284.26/39.83 | | | | | | | | | (406) all_140_3 = all_102_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (292), (293) imply:
% 284.26/39.83 | | | | | | | | | (407) all_136_3 = all_124_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (292), (387) imply:
% 284.26/39.83 | | | | | | | | | (408) all_136_3 = all_92_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (280), (357) imply:
% 284.26/39.83 | | | | | | | | | (409) all_134_4 = all_120_2
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (279), (357) imply:
% 284.26/39.83 | | | | | | | | | (410) all_134_4 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (290), (291) imply:
% 284.26/39.83 | | | | | | | | | (411) all_142_2 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (411) implies:
% 284.26/39.83 | | | | | | | | | (412) all_142_2 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (395), (404) imply:
% 284.26/39.83 | | | | | | | | | (413) all_138_4 = all_128_2
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (413) implies:
% 284.26/39.83 | | | | | | | | | (414) all_138_4 = all_128_2
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (398), (404) imply:
% 284.26/39.83 | | | | | | | | | (415) all_128_2 = all_96_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (289), (412) imply:
% 284.26/39.83 | | | | | | | | | (416) all_130_1 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (416) implies:
% 284.26/39.83 | | | | | | | | | (417) all_130_1 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (328), (389) imply:
% 284.26/39.83 | | | | | | | | | (418) all_128_1 = all_124_2
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (418) implies:
% 284.26/39.83 | | | | | | | | | (419) all_128_1 = all_124_2
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (345), (346) imply:
% 284.26/39.83 | | | | | | | | | (420) all_132_1 = all_98_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (420) implies:
% 284.26/39.83 | | | | | | | | | (421) all_132_1 = all_98_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (405), (406) imply:
% 284.26/39.83 | | | | | | | | | (422) all_136_2 = all_102_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (422) implies:
% 284.26/39.83 | | | | | | | | | (423) all_136_2 = all_102_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (335), (336) imply:
% 284.26/39.83 | | | | | | | | | (424) all_112_2 = all_102_2
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (424) implies:
% 284.26/39.83 | | | | | | | | | (425) all_112_2 = all_102_2
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (287), (288) imply:
% 284.26/39.83 | | | | | | | | | (426) all_134_3 = all_110_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (426) implies:
% 284.26/39.83 | | | | | | | | | (427) all_134_3 = all_110_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (327), (359) imply:
% 284.26/39.83 | | | | | | | | | (428) all_118_2 = all_106_2
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (428) implies:
% 284.26/39.83 | | | | | | | | | (429) all_118_2 = all_106_2
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (306), (414) imply:
% 284.26/39.83 | | | | | | | | | (430) all_128_2 = all_122_2
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (430) implies:
% 284.26/39.83 | | | | | | | | | (431) all_128_2 = all_122_2
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (306), (307) imply:
% 284.26/39.83 | | | | | | | | | (432) all_122_2 = all_116_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (305), (423) imply:
% 284.26/39.83 | | | | | | | | | (433) all_134_2 = all_102_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (433) implies:
% 284.26/39.83 | | | | | | | | | (434) all_134_2 = all_102_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (407), (408) imply:
% 284.26/39.83 | | | | | | | | | (435) all_124_1 = all_92_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (435) implies:
% 284.26/39.83 | | | | | | | | | (436) all_124_1 = all_92_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (304), (434) imply:
% 284.26/39.83 | | | | | | | | | (437) all_126_2 = all_102_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (437) implies:
% 284.26/39.83 | | | | | | | | | (438) all_126_2 = all_102_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (363), (427) imply:
% 284.26/39.83 | | | | | | | | | (439) all_110_1 = all_100_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (286), (427) imply:
% 284.26/39.83 | | | | | | | | | (440) all_130_1 = all_110_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (440) implies:
% 284.26/39.83 | | | | | | | | | (441) all_130_1 = all_110_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (409), (410) imply:
% 284.26/39.83 | | | | | | | | | (442) all_120_2 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (442) implies:
% 284.26/39.83 | | | | | | | | | (443) all_120_2 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (344), (421) imply:
% 284.26/39.83 | | | | | | | | | (444) all_98_1 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (371), (372) imply:
% 284.26/39.83 | | | | | | | | | (445) all_102_0 = all_98_2
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (417), (441) imply:
% 284.26/39.83 | | | | | | | | | (446) all_110_1 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (446) implies:
% 284.26/39.83 | | | | | | | | | (447) all_110_1 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (326), (419) imply:
% 284.26/39.83 | | | | | | | | | (448) all_124_2 = all_118_2
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (325), (419) imply:
% 284.26/39.83 | | | | | | | | | (449) all_124_2 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (415), (431) imply:
% 284.26/39.83 | | | | | | | | | (450) all_122_2 = all_96_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (450) implies:
% 284.26/39.83 | | | | | | | | | (451) all_122_2 = all_96_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (303), (438) imply:
% 284.26/39.83 | | | | | | | | | (452) all_114_2 = all_102_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (452) implies:
% 284.26/39.83 | | | | | | | | | (453) all_114_2 = all_102_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (285), (436) imply:
% 284.26/39.83 | | | | | | | | | (454) all_120_1 = all_92_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (454) implies:
% 284.26/39.83 | | | | | | | | | (455) all_120_1 = all_92_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (448), (449) imply:
% 284.26/39.83 | | | | | | | | | (456) all_118_2 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (456) implies:
% 284.26/39.83 | | | | | | | | | (457) all_118_2 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (432), (451) imply:
% 284.26/39.83 | | | | | | | | | (458) all_116_1 = all_96_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (458) implies:
% 284.26/39.83 | | | | | | | | | (459) all_116_1 = all_96_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (284), (455) imply:
% 284.26/39.83 | | | | | | | | | (460) all_108_1 = all_92_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (460) implies:
% 284.26/39.83 | | | | | | | | | (461) all_108_1 = all_92_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (277), (278) imply:
% 284.26/39.83 | | | | | | | | | (462) all_110_2 = all_108_2
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (277), (443) imply:
% 284.26/39.83 | | | | | | | | | (463) all_110_2 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (429), (457) imply:
% 284.26/39.83 | | | | | | | | | (464) all_106_2 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (464) implies:
% 284.26/39.83 | | | | | | | | | (465) all_106_2 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (374), (459) imply:
% 284.26/39.83 | | | | | | | | | (466) all_112_1 = all_96_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (466) implies:
% 284.26/39.83 | | | | | | | | | (467) all_112_1 = all_96_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (340), (341) imply:
% 284.26/39.83 | | | | | | | | | (468) all_108_0 = all_96_2
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (468) implies:
% 284.26/39.83 | | | | | | | | | (469) all_108_0 = all_96_2
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (302), (453) imply:
% 284.26/39.83 | | | | | | | | | (470) all_104_2 = all_102_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (470) implies:
% 284.26/39.83 | | | | | | | | | (471) all_104_2 = all_102_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (375), (467) imply:
% 284.26/39.83 | | | | | | | | | (472) all_104_2 = all_96_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (472) implies:
% 284.26/39.83 | | | | | | | | | (473) all_104_2 = all_96_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (334), (425) imply:
% 284.26/39.83 | | | | | | | | | (474) all_106_0 = all_102_2
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (474) implies:
% 284.26/39.83 | | | | | | | | | (475) all_106_0 = all_102_2
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (439), (447) imply:
% 284.26/39.83 | | | | | | | | | (476) all_100_1 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (476) implies:
% 284.26/39.83 | | | | | | | | | (477) all_100_1 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (462), (463) imply:
% 284.26/39.83 | | | | | | | | | (478) all_108_2 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (478) implies:
% 284.26/39.83 | | | | | | | | | (479) all_108_2 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (283), (461) imply:
% 284.26/39.83 | | | | | | | | | (480) all_106_1 = all_92_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (480) implies:
% 284.26/39.83 | | | | | | | | | (481) all_106_1 = all_92_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (361), (481) imply:
% 284.26/39.83 | | | | | | | | | (482) all_100_1 = all_92_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | SIMP: (482) implies:
% 284.26/39.83 | | | | | | | | | (483) all_100_1 = all_92_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (301), (471) imply:
% 284.26/39.83 | | | | | | | | | (484) all_102_1 = all_94_2
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (300), (471) imply:
% 284.26/39.83 | | | | | | | | | (485) all_102_1 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (471), (473) imply:
% 284.26/39.83 | | | | | | | | | (486) all_102_1 = all_96_1
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (485), (486) imply:
% 284.26/39.83 | | | | | | | | | (487) all_96_1 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (484), (486) imply:
% 284.26/39.83 | | | | | | | | | (488) all_96_1 = all_94_2
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (477), (483) imply:
% 284.26/39.83 | | | | | | | | | (489) all_92_1 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (487), (488) imply:
% 284.26/39.83 | | | | | | | | | (490) all_94_2 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (481), (489) imply:
% 284.26/39.83 | | | | | | | | | (491) all_106_1 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (461), (489) imply:
% 284.26/39.83 | | | | | | | | | (492) all_108_1 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (467), (487) imply:
% 284.26/39.83 | | | | | | | | | (493) all_112_1 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (451), (487) imply:
% 284.26/39.83 | | | | | | | | | (494) all_122_2 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (306), (494) imply:
% 284.26/39.83 | | | | | | | | | (495) all_138_4 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (359), (465) imply:
% 284.26/39.83 | | | | | | | | | (496) all_138_3 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (288), (447) imply:
% 284.26/39.83 | | | | | | | | | (497) all_138_2 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (384), (485) imply:
% 284.26/39.83 | | | | | | | | | (498) all_148_6 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (367), (449) imply:
% 284.26/39.83 | | | | | | | | | (499) all_152_8 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (377), (489) imply:
% 284.26/39.83 | | | | | | | | | (500) all_152_7 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (314), (498) imply:
% 284.26/39.83 | | | | | | | | | (501) all_152_6 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | COMBINE_EQS: (355), (400) imply:
% 284.26/39.83 | | | | | | | | | (502) all_152_5 = 0
% 284.26/39.83 | | | | | | | | |
% 284.26/39.83 | | | | | | | | | REDUCE: (230), (348) imply:
% 284.26/39.83 | | | | | | | | | (503) sdtpldt0(all_65_3, xp) = all_152_3
% 284.26/39.83 | | | | | | | | |
% 284.26/39.84 | | | | | | | | | REDUCE: (215), (347) imply:
% 284.26/39.84 | | | | | | | | | (504) sdtpldt0(all_65_1, xp) = all_146_3
% 284.26/39.84 | | | | | | | | |
% 284.26/39.84 | | | | | | | | | REDUCE: (196), (381) imply:
% 284.26/39.84 | | | | | | | | | (505) sdtpldt0(xp, all_65_3) = all_138_0
% 284.26/39.84 | | | | | | | | |
% 284.26/39.84 | | | | | | | | | BETA: splitting (198) gives:
% 284.26/39.84 | | | | | | | | |
% 284.26/39.84 | | | | | | | | | Case 1:
% 284.26/39.84 | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | (506) ~ (all_138_2 = 0)
% 284.26/39.84 | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | REDUCE: (497), (506) imply:
% 284.26/39.84 | | | | | | | | | | (507) $false
% 284.26/39.84 | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | CLOSE: (507) is inconsistent.
% 284.26/39.84 | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | Case 2:
% 284.26/39.84 | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | (508) ~ (all_138_3 = 0) | ~ (all_138_4 = 0) | all_138_0
% 284.26/39.84 | | | | | | | | | | = all_65_1
% 284.26/39.84 | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | BETA: splitting (235) gives:
% 284.26/39.84 | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | Case 1:
% 284.26/39.84 | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | (509) ~ (all_152_2 = 0)
% 284.26/39.84 | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | BETA: splitting (508) gives:
% 284.26/39.84 | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | Case 1:
% 284.26/39.84 | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | (510) ~ (all_138_3 = 0)
% 284.26/39.84 | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | REDUCE: (496), (510) imply:
% 284.26/39.84 | | | | | | | | | | | | (511) $false
% 284.26/39.84 | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | CLOSE: (511) is inconsistent.
% 284.26/39.84 | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | Case 2:
% 284.26/39.84 | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | (512) ~ (all_138_4 = 0) | all_138_0 = all_65_1
% 284.26/39.84 | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | BETA: splitting (512) gives:
% 284.26/39.84 | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | Case 1:
% 284.26/39.84 | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | (513) ~ (all_138_4 = 0)
% 284.26/39.84 | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | REDUCE: (495), (513) imply:
% 284.26/39.84 | | | | | | | | | | | | | (514) $false
% 284.26/39.84 | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | CLOSE: (514) is inconsistent.
% 284.26/39.84 | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | Case 2:
% 284.26/39.84 | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | (515) all_138_0 = all_65_1
% 284.26/39.84 | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | REDUCE: (505), (515) imply:
% 284.26/39.84 | | | | | | | | | | | | | (516) sdtpldt0(xp, all_65_3) = all_65_1
% 284.26/39.84 | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | BETA: splitting (150) gives:
% 284.26/39.84 | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | Case 1:
% 284.26/39.84 | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | (517) ~ (all_108_1 = 0)
% 284.26/39.84 | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | REDUCE: (492), (517) imply:
% 284.26/39.84 | | | | | | | | | | | | | | (518) $false
% 284.26/39.84 | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | CLOSE: (518) is inconsistent.
% 284.26/39.84 | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | Case 2:
% 284.26/39.84 | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | (519) ~ (all_108_2 = 0) | all_108_0 = 0
% 284.26/39.84 | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | BETA: splitting (145) gives:
% 284.26/39.84 | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | Case 1:
% 284.26/39.84 | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | (520) ~ (all_106_1 = 0)
% 284.26/39.84 | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | REDUCE: (491), (520) imply:
% 284.26/39.84 | | | | | | | | | | | | | | | (521) $false
% 284.26/39.84 | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | CLOSE: (521) is inconsistent.
% 284.26/39.84 | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | Case 2:
% 284.26/39.84 | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | (522) ~ (all_106_2 = 0) | all_106_0 = 0
% 284.26/39.84 | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | BETA: splitting (522) gives:
% 284.26/39.84 | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | Case 1:
% 284.26/39.84 | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | (523) ~ (all_106_2 = 0)
% 284.26/39.84 | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | REDUCE: (465), (523) imply:
% 284.26/39.84 | | | | | | | | | | | | | | | | (524) $false
% 284.26/39.84 | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | CLOSE: (524) is inconsistent.
% 284.26/39.84 | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | Case 2:
% 284.26/39.84 | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | (525) all_106_0 = 0
% 284.26/39.84 | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (525) imply:
% 284.26/39.84 | | | | | | | | | | | | | | | | (526) all_102_2 = 0
% 284.26/39.84 | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | SIMP: (526) implies:
% 284.26/39.84 | | | | | | | | | | | | | | | | (527) all_102_2 = 0
% 284.26/39.84 | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (527) imply:
% 284.26/39.84 | | | | | | | | | | | | | | | | (528) all_112_2 = 0
% 284.26/39.84 | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 284.26/39.84 | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | Case 1:
% 284.26/39.84 | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | (529) ~ (all_112_1 = 0)
% 284.26/39.84 | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | REDUCE: (493), (529) imply:
% 284.26/39.84 | | | | | | | | | | | | | | | | | (530) $false
% 284.26/39.84 | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | CLOSE: (530) is inconsistent.
% 284.26/39.84 | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | Case 2:
% 284.26/39.84 | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | (531) ~ (all_112_2 = 0) | all_112_0 = all_65_2
% 284.26/39.84 | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | BETA: splitting (138) gives:
% 284.26/39.84 | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | Case 1:
% 284.26/39.84 | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | (532) ~ (all_102_1 = 0)
% 284.26/39.84 | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | REDUCE: (485), (532) imply:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | (533) $false
% 284.26/39.84 | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | CLOSE: (533) is inconsistent.
% 284.26/39.84 | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | Case 2:
% 284.26/39.84 | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | (534) ~ (all_102_2 = 0) | all_102_0 = 0
% 284.26/39.84 | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | BETA: splitting (534) gives:
% 284.26/39.84 | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | Case 1:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | (535) ~ (all_102_2 = 0)
% 284.26/39.84 | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | REDUCE: (527), (535) imply:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | (536) $false
% 284.26/39.84 | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | CLOSE: (536) is inconsistent.
% 284.26/39.84 | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | Case 2:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | (537) all_102_0 = 0
% 284.26/39.84 | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (445), (537) imply:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | (538) all_98_2 = 0
% 284.26/39.84 | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (538) imply:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | (539) aNaturalNumber0(all_65_2) = 0
% 284.26/39.84 | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | BETA: splitting (531) gives:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | Case 1:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | (540) ~ (all_112_2 = 0)
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | REDUCE: (528), (540) imply:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | (541) $false
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | CLOSE: (541) is inconsistent.
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | Case 2:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | (542) all_112_0 = all_65_2
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (542) imply:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | (543) sdtpldt0(xp, all_65_3) = all_65_2
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | BETA: splitting (131) gives:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | Case 1:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | (544) ~ (all_98_1 = 0)
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | REDUCE: (444), (544) imply:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | (545) $false
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | CLOSE: (545) is inconsistent.
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | Case 2:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | (546) ~ (all_98_2 = 0) | all_98_0 = 0
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (546) gives:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | (547) ~ (all_98_2 = 0)
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (538), (547) imply:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | (548) $false
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (548) is inconsistent.
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | (549) all_98_0 = 0
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (370), (549) imply:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | (550) all_96_0 = 0
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (550) imply:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | (551) aNaturalNumber0(all_65_0) = 0
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (519) gives:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | (552) ~ (all_108_2 = 0)
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (479), (552) imply:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | (553) $false
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (553) is inconsistent.
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | (554) all_108_0 = 0
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (469), (554) imply:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | (555) all_96_2 = 0
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (555) implies:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | (556) all_96_2 = 0
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (556) imply:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | (557) aNaturalNumber0(all_65_1) = 0
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | (558) all_65_0 = all_65_2
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (42), (558) imply:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | (559) $false
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (559) is inconsistent.
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | (560) ? [v0: any] : ? [v1: any] :
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_65_0) = v1 &
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_65_2) = v0 & ( ~ (v1 = 0) |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0))) | ! [v0: $i] : ! [v1: $i] : !
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | [v2: $i] : ! [v3: any] : ( ~ (sdtlseqdt0(v1, v2)
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | = v3) | ~ (sdtpldt0(all_65_0, v0) = v2) | ~
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | (sdtpldt0(all_65_2, v0) = v1) | ~ $i(v0) | ?
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | [v4: any] : ? [v5: $i] : ? [v6: $i] : ? [v7:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | any] : (sdtlseqdt0(v5, v6) = v7 & sdtpldt0(v0,
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | all_65_0) = v6 & sdtpldt0(v0, all_65_2) = v5
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | & aNaturalNumber0(v0) = v4 & $i(v6) & $i(v5) &
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (v4 = 0) | (v7 = 0 & v3 = 0 & ~ (v6 = v5)
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (v2 = v1)))))
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (560) gives:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | (561) ? [v0: any] : ? [v1: any] :
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_65_0) = v1 &
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_65_2) = v0 & ( ~ (v1 = 0) |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0)))
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (561) with fresh symbols all_502_0,
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | all_502_1 gives:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | (562) aNaturalNumber0(all_65_0) = all_502_0 &
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_65_2) = all_502_1 & ( ~
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | (all_502_0 = 0) | ~ (all_502_1 = 0))
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (562) implies:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | (563) aNaturalNumber0(all_65_2) = all_502_1
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | (564) aNaturalNumber0(all_65_0) = all_502_0
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | (565) ~ (all_502_0 = 0) | ~ (all_502_1 = 0)
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_502_1, all_65_2,
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (539), (563) gives:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | (566) all_502_1 = 0
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_502_0, all_65_0,
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (551), (564) gives:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | (567) all_502_0 = 0
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (565) gives:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (568) ~ (all_502_0 = 0)
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (567), (568) imply:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (569) $false
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (569) is inconsistent.
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (570) ~ (all_502_1 = 0)
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (570) imply:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (571) $false
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (571) is inconsistent.
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_65_2, all_65_1,
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | all_65_3, xp, simplifying with (516), (543) gives:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | (572) all_65_1 = all_65_2
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_65_2, all_152_3, xp,
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | all_65_3, simplifying with (47), (503) gives:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | (573) all_152_3 = all_65_2
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_65_0, all_146_3, xp,
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | all_65_1, simplifying with (48), (504) gives:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | (574) all_146_3 = all_65_0
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (236), (573) imply:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | (575) iLess0(all_65_2, all_65_0) = all_152_2
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mIH_03) with all_65_2, all_65_0,
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | all_152_2, simplifying with (44), (79), (575)
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | (576) all_152_2 = 0 | all_65_0 = all_65_2 | ? [v0: any]
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | : ? [v1: any] : ? [v2: any] :
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | (sdtlseqdt0(all_65_2, all_65_0) = v2 &
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_65_0) = v1 &
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_65_2) = v0 & ( ~ (v2 = 0) |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (576) gives:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (577) all_152_2 = 0
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (509), (577) imply:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (578) $false
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (578) is inconsistent.
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (579) all_65_0 = all_65_2 | ? [v0: any] : ? [v1: any]
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | : ? [v2: any] : (sdtlseqdt0(all_65_2, all_65_0) =
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | v2 & aNaturalNumber0(all_65_0) = v1 &
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_65_2) = v0 & ( ~ (v2 = 0) |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (579) gives:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (580) all_65_0 = all_65_2
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (42), (580) imply:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (581) $false
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (581) is inconsistent.
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (582) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtlseqdt0(all_65_2, all_65_0) = v2 &
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_65_0) = v1 &
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_65_2) = v0 & ( ~ (v2 = 0) |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (582) with fresh symbols all_1266_0,
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_1266_1, all_1266_2 gives:
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (583) sdtlseqdt0(all_65_2, all_65_0) = all_1266_0 &
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_65_0) = all_1266_1 &
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_65_2) = all_1266_2 & ( ~
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_1266_0 = 0) | ~ (all_1266_1 = 0) | ~
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_1266_2 = 0))
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (583) implies:
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (584) aNaturalNumber0(all_65_2) = all_1266_2
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (585) aNaturalNumber0(all_65_0) = all_1266_1
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (586) sdtlseqdt0(all_65_2, all_65_0) = all_1266_0
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (587) ~ (all_1266_0 = 0) | ~ (all_1266_1 = 0) | ~
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_1266_2 = 0)
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_1266_2, all_65_2,
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (539), (584) gives:
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (588) all_1266_2 = 0
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_1266_1, all_65_0,
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (551), (585) gives:
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (589) all_1266_1 = 0
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with 0, all_1266_0, all_65_0,
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_65_2, simplifying with (49), (586) gives:
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (590) all_1266_0 = 0
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (587) gives:
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (591) ~ (all_1266_0 = 0)
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (590), (591) imply:
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (592) $false
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (592) is inconsistent.
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (593) ~ (all_1266_1 = 0) | ~ (all_1266_2 = 0)
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (593) gives:
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (594) ~ (all_1266_1 = 0)
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (589), (594) imply:
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (595) $false
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (595) is inconsistent.
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (596) ~ (all_1266_2 = 0)
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (588), (596) imply:
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (597) $false
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (597) is inconsistent.
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | | End of split
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | | End of split
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | | End of split
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | | | | End of split
% 284.26/39.85 | | | | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | | | End of split
% 284.26/39.85 | | | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | | End of split
% 284.26/39.85 | | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | End of split
% 284.26/39.85 | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | End of split
% 284.26/39.85 | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | End of split
% 284.26/39.85 | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | End of split
% 284.26/39.85 | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | End of split
% 284.26/39.85 | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | End of split
% 284.26/39.85 | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | Case 2:
% 284.26/39.85 | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | (598) ~ (all_152_6 = 0) | ~ (all_152_7 = 0) | ~
% 284.26/39.85 | | | | | | | | | | | (all_152_8 = 0) | (all_152_0 = 0 & ? [v0: $i] :
% 284.26/39.85 | | | | | | | | | | | (sdtasdt0(xp, v0) = xm & aNaturalNumber0(v0) = 0
% 284.26/39.85 | | | | | | | | | | | & $i(v0))) | (all_152_1 = 0 & ? [v0: $i] :
% 284.26/39.85 | | | | | | | | | | | (sdtasdt0(xp, v0) = xr & aNaturalNumber0(v0) = 0
% 284.26/39.85 | | | | | | | | | | | & $i(v0))) | ( ~ (all_152_5 = 0) & (xp = sz10
% 284.26/39.85 | | | | | | | | | | | | xp = sz00 | ? [v0: $i] : ( ~ (v0 = xp) & ~
% 284.26/39.85 | | | | | | | | | | | (v0 = sz10) & doDivides0(v0, xp) = 0 &
% 284.26/39.85 | | | | | | | | | | | aNaturalNumber0(v0) = 0 & $i(v0) & ? [v1:
% 284.26/39.85 | | | | | | | | | | | $i] : (sdtasdt0(v0, v1) = xp &
% 284.26/39.85 | | | | | | | | | | | aNaturalNumber0(v1) = 0 & $i(v1)))))
% 284.26/39.85 | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | BETA: splitting (598) gives:
% 284.26/39.85 | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | Case 1:
% 284.26/39.85 | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | (599) ~ (all_152_6 = 0)
% 284.26/39.85 | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | REDUCE: (501), (599) imply:
% 284.26/39.85 | | | | | | | | | | | | (600) $false
% 284.26/39.85 | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | CLOSE: (600) is inconsistent.
% 284.26/39.85 | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | Case 2:
% 284.26/39.85 | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | (601) ~ (all_152_7 = 0) | ~ (all_152_8 = 0) |
% 284.26/39.85 | | | | | | | | | | | | (all_152_0 = 0 & ? [v0: $i] : (sdtasdt0(xp, v0) =
% 284.26/39.85 | | | | | | | | | | | | xm & aNaturalNumber0(v0) = 0 & $i(v0))) |
% 284.26/39.85 | | | | | | | | | | | | (all_152_1 = 0 & ? [v0: $i] : (sdtasdt0(xp, v0) =
% 284.26/39.85 | | | | | | | | | | | | xr & aNaturalNumber0(v0) = 0 & $i(v0))) | ( ~
% 284.26/39.85 | | | | | | | | | | | | (all_152_5 = 0) & (xp = sz10 | xp = sz00 | ?
% 284.26/39.85 | | | | | | | | | | | | [v0: $i] : ( ~ (v0 = xp) & ~ (v0 = sz10) &
% 284.26/39.85 | | | | | | | | | | | | doDivides0(v0, xp) = 0 & aNaturalNumber0(v0)
% 284.26/39.85 | | | | | | | | | | | | = 0 & $i(v0) & ? [v1: $i] : (sdtasdt0(v0,
% 284.26/39.85 | | | | | | | | | | | | v1) = xp & aNaturalNumber0(v1) = 0 &
% 284.26/39.85 | | | | | | | | | | | | $i(v1)))))
% 284.26/39.85 | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | BETA: splitting (601) gives:
% 284.26/39.85 | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | Case 1:
% 284.26/39.85 | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | (602) ~ (all_152_7 = 0)
% 284.26/39.85 | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | REDUCE: (500), (602) imply:
% 284.26/39.85 | | | | | | | | | | | | | (603) $false
% 284.26/39.85 | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | CLOSE: (603) is inconsistent.
% 284.26/39.85 | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | Case 2:
% 284.26/39.85 | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | (604) ~ (all_152_8 = 0) | (all_152_0 = 0 & ? [v0: $i]
% 284.26/39.85 | | | | | | | | | | | | | : (sdtasdt0(xp, v0) = xm & aNaturalNumber0(v0) =
% 284.26/39.85 | | | | | | | | | | | | | 0 & $i(v0))) | (all_152_1 = 0 & ? [v0: $i] :
% 284.26/39.85 | | | | | | | | | | | | | (sdtasdt0(xp, v0) = xr & aNaturalNumber0(v0) = 0
% 284.26/39.85 | | | | | | | | | | | | | & $i(v0))) | ( ~ (all_152_5 = 0) & (xp = sz10
% 284.26/39.85 | | | | | | | | | | | | | | xp = sz00 | ? [v0: $i] : ( ~ (v0 = xp) & ~
% 284.26/39.85 | | | | | | | | | | | | | (v0 = sz10) & doDivides0(v0, xp) = 0 &
% 284.26/39.85 | | | | | | | | | | | | | aNaturalNumber0(v0) = 0 & $i(v0) & ? [v1:
% 284.26/39.85 | | | | | | | | | | | | | $i] : (sdtasdt0(v0, v1) = xp &
% 284.26/39.85 | | | | | | | | | | | | | aNaturalNumber0(v1) = 0 & $i(v1)))))
% 284.26/39.85 | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | BETA: splitting (604) gives:
% 284.26/39.85 | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | Case 1:
% 284.26/39.85 | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | (605) ~ (all_152_8 = 0)
% 284.26/39.85 | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | REDUCE: (499), (605) imply:
% 284.26/39.85 | | | | | | | | | | | | | | (606) $false
% 284.26/39.85 | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | CLOSE: (606) is inconsistent.
% 284.26/39.85 | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | Case 2:
% 284.26/39.85 | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | (607) (all_152_0 = 0 & ? [v0: $i] : (sdtasdt0(xp, v0) =
% 284.26/39.85 | | | | | | | | | | | | | | xm & aNaturalNumber0(v0) = 0 & $i(v0))) |
% 284.26/39.85 | | | | | | | | | | | | | | (all_152_1 = 0 & ? [v0: $i] : (sdtasdt0(xp, v0) =
% 284.26/39.85 | | | | | | | | | | | | | | xr & aNaturalNumber0(v0) = 0 & $i(v0))) | ( ~
% 284.26/39.85 | | | | | | | | | | | | | | (all_152_5 = 0) & (xp = sz10 | xp = sz00 | ?
% 284.26/39.85 | | | | | | | | | | | | | | [v0: $i] : ( ~ (v0 = xp) & ~ (v0 = sz10) &
% 284.26/39.85 | | | | | | | | | | | | | | doDivides0(v0, xp) = 0 & aNaturalNumber0(v0)
% 284.26/39.85 | | | | | | | | | | | | | | = 0 & $i(v0) & ? [v1: $i] : (sdtasdt0(v0,
% 284.26/39.85 | | | | | | | | | | | | | | v1) = xp & aNaturalNumber0(v1) = 0 &
% 284.26/39.85 | | | | | | | | | | | | | | $i(v1)))))
% 284.26/39.85 | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | BETA: splitting (607) gives:
% 284.26/39.85 | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | Case 1:
% 284.26/39.85 | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | (608) all_152_0 = 0 & ? [v0: $i] : (sdtasdt0(xp, v0) =
% 284.26/39.85 | | | | | | | | | | | | | | | xm & aNaturalNumber0(v0) = 0 & $i(v0))
% 284.26/39.85 | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | ALPHA: (608) implies:
% 284.26/39.85 | | | | | | | | | | | | | | | (609) all_152_0 = 0
% 284.26/39.85 | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | COMBINE_EQS: (350), (609) imply:
% 284.26/39.85 | | | | | | | | | | | | | | | (610) all_62_0 = 0
% 284.26/39.85 | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | REDUCE: (38), (610) imply:
% 284.26/39.85 | | | | | | | | | | | | | | | (611) $false
% 284.26/39.85 | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | CLOSE: (611) is inconsistent.
% 284.26/39.85 | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | Case 2:
% 284.26/39.85 | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | (612) (all_152_1 = 0 & ? [v0: $i] : (sdtasdt0(xp, v0) =
% 284.26/39.85 | | | | | | | | | | | | | | | xr & aNaturalNumber0(v0) = 0 & $i(v0))) | ( ~
% 284.26/39.85 | | | | | | | | | | | | | | | (all_152_5 = 0) & (xp = sz10 | xp = sz00 | ?
% 284.26/39.85 | | | | | | | | | | | | | | | [v0: $i] : ( ~ (v0 = xp) & ~ (v0 = sz10) &
% 284.26/39.85 | | | | | | | | | | | | | | | doDivides0(v0, xp) = 0 & aNaturalNumber0(v0)
% 284.26/39.85 | | | | | | | | | | | | | | | = 0 & $i(v0) & ? [v1: $i] : (sdtasdt0(v0,
% 284.26/39.85 | | | | | | | | | | | | | | | v1) = xp & aNaturalNumber0(v1) = 0 &
% 284.26/39.85 | | | | | | | | | | | | | | | $i(v1)))))
% 284.26/39.85 | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | BETA: splitting (612) gives:
% 284.26/39.85 | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | Case 1:
% 284.26/39.85 | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | (613) all_152_1 = 0 & ? [v0: $i] : (sdtasdt0(xp, v0) =
% 284.26/39.85 | | | | | | | | | | | | | | | | xr & aNaturalNumber0(v0) = 0 & $i(v0))
% 284.26/39.85 | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | ALPHA: (613) implies:
% 284.26/39.85 | | | | | | | | | | | | | | | | (614) all_152_1 = 0
% 284.26/39.85 | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (614) imply:
% 284.26/39.85 | | | | | | | | | | | | | | | | (615) all_62_1 = 0
% 284.26/39.85 | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | REDUCE: (37), (615) imply:
% 284.26/39.85 | | | | | | | | | | | | | | | | (616) $false
% 284.26/39.85 | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | CLOSE: (616) is inconsistent.
% 284.26/39.85 | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | Case 2:
% 284.26/39.85 | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | (617) ~ (all_152_5 = 0) & (xp = sz10 | xp = sz00 | ?
% 284.26/39.85 | | | | | | | | | | | | | | | | [v0: $i] : ( ~ (v0 = xp) & ~ (v0 = sz10) &
% 284.26/39.85 | | | | | | | | | | | | | | | | doDivides0(v0, xp) = 0 & aNaturalNumber0(v0) =
% 284.26/39.85 | | | | | | | | | | | | | | | | 0 & $i(v0) & ? [v1: $i] : (sdtasdt0(v0, v1) =
% 284.26/39.85 | | | | | | | | | | | | | | | | xp & aNaturalNumber0(v1) = 0 & $i(v1))))
% 284.26/39.85 | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | ALPHA: (617) implies:
% 284.26/39.85 | | | | | | | | | | | | | | | | (618) ~ (all_152_5 = 0)
% 284.26/39.85 | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | REDUCE: (502), (618) imply:
% 284.26/39.85 | | | | | | | | | | | | | | | | (619) $false
% 284.26/39.85 | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | | CLOSE: (619) is inconsistent.
% 284.26/39.85 | | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | | End of split
% 284.26/39.85 | | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | | End of split
% 284.26/39.85 | | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | | End of split
% 284.26/39.85 | | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | | End of split
% 284.26/39.85 | | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | | End of split
% 284.26/39.85 | | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | | End of split
% 284.26/39.85 | | | | | | | | | |
% 284.26/39.85 | | | | | | | | | End of split
% 284.26/39.85 | | | | | | | | |
% 284.26/39.86 | | | | | | | | End of split
% 284.26/39.86 | | | | | | | |
% 284.26/39.86 | | | | | | | End of split
% 284.26/39.86 | | | | | | |
% 284.26/39.86 | | | | | | End of split
% 284.26/39.86 | | | | | |
% 284.26/39.86 | | | | | End of split
% 284.26/39.86 | | | | |
% 284.26/39.86 | | | | End of split
% 284.26/39.86 | | | |
% 284.26/39.86 | | | End of split
% 284.26/39.86 | | |
% 284.26/39.86 | | End of split
% 284.26/39.86 | |
% 284.26/39.86 | End of split
% 284.26/39.86 |
% 284.26/39.86 End of proof
% 284.26/39.86 % SZS output end Proof for theBenchmark
% 284.26/39.86
% 284.26/39.86 39205ms
%------------------------------------------------------------------------------