TSTP Solution File: RNG072+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : RNG072+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 13:57:41 EDT 2023
% Result : Theorem 12.97s 2.54s
% Output : Proof 24.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG072+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Aug 27 02:37:12 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.58 ________ _____
% 0.18/0.58 ___ __ \_________(_)________________________________
% 0.18/0.58 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.18/0.58 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.18/0.58 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.18/0.58
% 0.18/0.58 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.18/0.58 (2023-06-19)
% 0.18/0.58
% 0.18/0.58 (c) Philipp Rümmer, 2009-2023
% 0.18/0.58 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.18/0.58 Amanda Stjerna.
% 0.18/0.58 Free software under BSD-3-Clause.
% 0.18/0.58
% 0.18/0.58 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.18/0.58
% 0.18/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.18/0.60 Running up to 7 provers in parallel.
% 0.18/0.61 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.18/0.61 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.18/0.61 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.18/0.61 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.18/0.61 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.18/0.61 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.18/0.61 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.37/1.21 Prover 1: Preprocessing ...
% 3.37/1.22 Prover 4: Preprocessing ...
% 3.88/1.26 Prover 2: Preprocessing ...
% 3.88/1.26 Prover 0: Preprocessing ...
% 3.88/1.26 Prover 6: Preprocessing ...
% 3.88/1.26 Prover 3: Preprocessing ...
% 3.88/1.26 Prover 5: Preprocessing ...
% 9.03/1.99 Prover 1: Constructing countermodel ...
% 9.26/2.01 Prover 3: Constructing countermodel ...
% 9.26/2.08 Prover 6: Proving ...
% 11.11/2.31 Prover 5: Constructing countermodel ...
% 12.40/2.45 Prover 2: Proving ...
% 12.97/2.52 Prover 4: Constructing countermodel ...
% 12.97/2.53 Prover 0: Proving ...
% 12.97/2.54 Prover 3: proved (1933ms)
% 12.97/2.54
% 12.97/2.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.97/2.54
% 12.97/2.54 Prover 5: stopped
% 12.97/2.55 Prover 6: stopped
% 12.97/2.55 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 12.97/2.55 Prover 2: stopped
% 12.97/2.57 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 12.97/2.57 Prover 0: stopped
% 13.44/2.57 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 13.44/2.57 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 13.44/2.58 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 13.44/2.65 Prover 8: Preprocessing ...
% 14.12/2.69 Prover 7: Preprocessing ...
% 14.12/2.70 Prover 11: Preprocessing ...
% 14.12/2.73 Prover 10: Preprocessing ...
% 14.12/2.75 Prover 13: Preprocessing ...
% 16.05/2.96 Prover 8: Warning: ignoring some quantifiers
% 16.05/2.97 Prover 10: Constructing countermodel ...
% 16.05/2.98 Prover 8: Constructing countermodel ...
% 16.76/3.03 Prover 13: Constructing countermodel ...
% 16.76/3.03 Prover 7: Constructing countermodel ...
% 18.37/3.28 Prover 11: Constructing countermodel ...
% 23.30/3.88 Prover 1: Found proof (size 316)
% 23.30/3.89 Prover 1: proved (3281ms)
% 23.30/3.89 Prover 13: stopped
% 23.30/3.89 Prover 11: stopped
% 23.30/3.89 Prover 4: stopped
% 23.30/3.89 Prover 7: stopped
% 23.30/3.89 Prover 8: stopped
% 23.30/3.89 Prover 10: stopped
% 23.30/3.89
% 23.30/3.89 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.30/3.89
% 23.30/3.95 % SZS output start Proof for theBenchmark
% 23.30/3.96 Assumptions after simplification:
% 23.30/3.96 ---------------------------------
% 23.30/3.96
% 23.30/3.96 (mDistr)
% 23.73/3.98 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 23.73/3.98 $i] : ( ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~
% 23.73/3.98 (sdtpldt0(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] :
% 23.73/3.98 ? [v7: any] : ? [v8: any] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ?
% 23.73/3.98 [v12: $i] : ? [v13: $i] : ? [v14: $i] : (sdtasdt0(v11, v2) = v12 &
% 23.73/3.98 sdtasdt0(v1, v2) = v13 & sdtasdt0(v0, v9) = v10 & sdtpldt0(v4, v13) = v14
% 23.73/3.98 & sdtpldt0(v1, v2) = v9 & sdtpldt0(v0, v1) = v11 & aScalar0(v2) = v8 &
% 23.73/3.98 aScalar0(v1) = v7 & aScalar0(v0) = v6 & $i(v14) & $i(v13) & $i(v12) &
% 23.73/3.98 $i(v11) & $i(v10) & $i(v9) & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) |
% 23.73/3.98 (v14 = v12 & v10 = v5))))
% 23.73/3.98
% 23.73/3.98 (mLEMon)
% 23.73/3.99 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 23.73/3.99 $i] : ! [v6: int] : (v6 = 0 | ~ (sdtlseqdt0(v4, v5) = v6) | ~
% 23.73/3.99 (sdtpldt0(v1, v3) = v5) | ~ (sdtpldt0(v0, v2) = v4) | ~ $i(v3) | ~ $i(v2)
% 23.73/3.99 | ~ $i(v1) | ~ $i(v0) | ? [v7: any] : ? [v8: any] : ? [v9: any] : ?
% 23.73/3.99 [v10: any] : ? [v11: any] : ? [v12: any] : (sdtlseqdt0(v2, v3) = v12 &
% 23.73/3.99 sdtlseqdt0(v0, v1) = v11 & aScalar0(v3) = v10 & aScalar0(v2) = v9 &
% 23.73/3.99 aScalar0(v1) = v8 & aScalar0(v0) = v7 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~
% 23.73/3.99 (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0))))
% 23.73/3.99
% 23.73/3.99 (mLEMonM)
% 23.73/3.99 $i(sz0z00) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4:
% 23.73/3.99 $i] : ! [v5: $i] : ! [v6: int] : (v6 = 0 | ~ (sdtlseqdt0(v4, v5) = v6) |
% 23.80/3.99 ~ (sdtasdt0(v1, v3) = v5) | ~ (sdtasdt0(v0, v2) = v4) | ~ $i(v3) | ~
% 23.80/3.99 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v7: any] : ? [v8: any] : ? [v9: any]
% 23.80/3.99 : ? [v10: any] : ? [v11: any] : ? [v12: any] : ? [v13: any] :
% 23.80/3.99 (sdtlseqdt0(v2, v3) = v13 & sdtlseqdt0(v0, v1) = v11 & sdtlseqdt0(sz0z00,
% 23.80/3.99 v2) = v12 & aScalar0(v3) = v10 & aScalar0(v2) = v9 & aScalar0(v1) = v8 &
% 23.80/3.99 aScalar0(v0) = v7 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10
% 23.80/3.99 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0))))
% 23.80/3.99
% 23.80/3.99 (mMulSc)
% 23.80/3.99 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) | ~
% 23.80/3.99 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 23.80/3.99 (aScalar0(v2) = v5 & aScalar0(v1) = v4 & aScalar0(v0) = v3 & ( ~ (v4 = 0) |
% 23.80/3.99 ~ (v3 = 0) | v5 = 0)))
% 23.80/3.99
% 23.80/3.99 (mPosMon)
% 23.80/3.99 $i(sz0z00) & ! [v0: $i] : ! [v1: $i] : ( ~ (sdtlseqdt0(sz0z00, v1) = 0) | ~
% 23.80/3.99 (sdtlseqdt0(sz0z00, v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ?
% 23.80/3.99 [v3: any] : ? [v4: $i] : ? [v5: any] : ? [v6: $i] : ? [v7: any] :
% 23.80/3.99 (sdtlseqdt0(sz0z00, v6) = v7 & sdtlseqdt0(sz0z00, v4) = v5 & sdtasdt0(v0,
% 23.80/3.99 v1) = v6 & sdtpldt0(v0, v1) = v4 & aScalar0(v1) = v3 & aScalar0(v0) = v2
% 23.80/3.99 & $i(v6) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | (v7 = 0 & v5 = 0))))
% 23.80/3.99
% 23.80/3.99 (mSqPos)
% 23.80/3.99 $i(sz0z00) & ! [v0: $i] : ! [v1: $i] : ( ~ (sdtasdt0(v0, v0) = v1) | ~
% 23.80/3.99 $i(v0) | ? [v2: any] : ? [v3: any] : (sdtlseqdt0(sz0z00, v1) = v3 &
% 23.80/3.99 aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 23.80/3.99
% 23.80/3.99 (mSumSc)
% 23.80/3.99 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtpldt0(v0, v1) = v2) | ~
% 23.80/3.99 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 23.80/3.99 (aScalar0(v2) = v5 & aScalar0(v1) = v4 & aScalar0(v0) = v3 & ( ~ (v4 = 0) |
% 23.80/3.99 ~ (v3 = 0) | v5 = 0)))
% 23.80/3.99
% 23.80/3.99 (m__)
% 23.80/3.99 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 23.80/3.99 $i] : ? [v4: int] : ( ~ (v4 = 0) & sdtlseqdt0(v1, v3) = v4 & sdtasdt0(v2,
% 23.80/3.99 v2) = v3 & sdtasdt0(v0, v0) = v1 & sdtpldt0(xP, xP) = v2 & sdtpldt0(xR,
% 23.80/3.99 xS) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 23.80/3.99
% 23.80/3.99 (m__1892)
% 23.80/3.99 sdtasdt0(xC, xG) = xR & aScalar0(xR) = 0 & $i(xR) & $i(xG) & $i(xC)
% 23.80/3.99
% 23.80/3.99 (m__1911)
% 23.80/3.99 sdtasdt0(xE, xH) = xP & aScalar0(xP) = 0 & $i(xP) & $i(xH) & $i(xE)
% 23.80/3.99
% 23.80/3.99 (m__1930)
% 23.80/3.99 sdtasdt0(xF, xD) = xS & aScalar0(xS) = 0 & $i(xS) & $i(xF) & $i(xD)
% 23.80/3.99
% 23.80/3.99 (m__2004)
% 23.80/4.00 $i(xN) & $i(xP) & ? [v0: $i] : (sdtlseqdt0(v0, xN) = 0 & sdtasdt0(xP, xP) =
% 23.80/4.00 v0 & $i(v0))
% 23.80/4.00
% 23.80/4.00 (m__2104)
% 23.80/4.00 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 23.80/4.00 $i] : ? [v4: $i] : (sdtlseqdt0(v1, v4) = 0 & sdtasdt0(xS, xS) = v3 &
% 23.80/4.00 sdtasdt0(xP, xP) = v0 & sdtasdt0(xR, xR) = v2 & sdtpldt0(v2, v3) = v4 &
% 23.80/4.00 sdtpldt0(v0, v0) = v1 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 23.80/4.00
% 23.80/4.00 (m__2405)
% 23.80/4.00 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 23.80/4.00 $i] : (sdtlseqdt0(v1, v3) = 0 & sdtasdt0(v2, v2) = v3 & sdtasdt0(v0, v0) =
% 23.80/4.00 v1 & sdtpldt0(xP, xP) = v0 & sdtpldt0(xR, xS) = v2 & $i(v3) & $i(v2) &
% 23.80/4.00 $i(v1) & $i(v0))
% 23.80/4.00
% 23.80/4.00 (m__2590)
% 23.80/4.00 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2
% 23.80/4.00 = 0) & sdtlseqdt0(v0, v1) = v2 & sdtpldt0(xP, xP) = v0 & sdtpldt0(xR, xS)
% 23.80/4.00 = v1 & $i(v1) & $i(v0))
% 23.80/4.00
% 23.80/4.00 (m__2610)
% 23.80/4.00 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : (sdtlseqdt0(v0, v1) = 0
% 23.80/4.00 & sdtpldt0(xP, xP) = v1 & sdtpldt0(xR, xS) = v0 & $i(v1) & $i(v0))
% 23.80/4.00
% 23.80/4.00 (m__2628)
% 23.80/4.00 $i(xS) & $i(xP) & $i(xR) & $i(sz0z00) & ? [v0: $i] : ? [v1: $i] :
% 23.80/4.00 (sdtlseqdt0(sz0z00, v1) = 0 & sdtlseqdt0(sz0z00, v0) = 0 & sdtpldt0(xP, xP) =
% 23.80/4.00 v1 & sdtpldt0(xR, xS) = v0 & $i(v1) & $i(v0))
% 23.80/4.00
% 23.80/4.00 (function-axioms)
% 23.80/4.00 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 23.80/4.00 (sdtasasdt0(v3, v2) = v1) | ~ (sdtasasdt0(v3, v2) = v0)) & ! [v0: $i] : !
% 23.80/4.00 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtlbdtrb0(v3, v2) = v1)
% 23.80/4.00 | ~ (sdtlbdtrb0(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 23.80/4.00 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 23.80/4.00 (sdtlseqdt0(v3, v2) = v1) | ~ (sdtlseqdt0(v3, v2) = v0)) & ! [v0: $i] : !
% 23.80/4.00 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) |
% 23.80/4.00 ~ (sdtasdt0(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 23.80/4.00 [v3: $i] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0))
% 23.80/4.00 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 23.80/4.00 [v3: $i] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0)) &
% 23.80/4.00 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (sziznziztdt0(v2) = v1)
% 23.80/4.00 | ~ (sziznziztdt0(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 23.80/4.00 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (aVector0(v2) = v1) | ~
% 23.80/4.00 (aVector0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 |
% 23.80/4.00 ~ (aDimensionOf0(v2) = v1) | ~ (aDimensionOf0(v2) = v0)) & ! [v0: $i] : !
% 23.80/4.00 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~ (smndt0(v2) =
% 23.80/4.00 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 23.80/4.00 $i] : (v1 = v0 | ~ (aScalar0(v2) = v1) | ~ (aScalar0(v2) = v0)) & ! [v0:
% 23.80/4.00 $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (szszuzczcdt0(v2) = v1) | ~
% 23.80/4.00 (szszuzczcdt0(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 23.80/4.00 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1)
% 23.80/4.00 | ~ (aNaturalNumber0(v2) = v0))
% 23.80/4.00
% 23.80/4.00 Further assumptions not needed in the proof:
% 23.80/4.00 --------------------------------------------
% 23.80/4.00 mArith, mDefInit, mDefSPN, mDefSPZ, mDimNat, mDistr2, mElmSc, mEqInit, mIH,
% 23.80/4.00 mIHOrd, mLEASm, mLERef, mLETot, mLETrn, mLess, mMDNeg, mMNeg, mNatExtr,
% 23.80/4.00 mNatSort, mNegSc, mSZeroSc, mScPr, mScSort, mScSqPos, mScZero, mSqrt, mSuccEqu,
% 23.80/4.00 mSuccNat, mVcSort, mZeroNat, m__1652, m__1678, m__1678_01, m__1692, m__1709,
% 23.80/4.00 m__1726, m__1746, m__1766, m__1783, m__1800, m__1820, m__1837, m__1854, m__1873,
% 23.80/4.00 m__1949, m__1967
% 23.80/4.00
% 23.80/4.00 Those formulas are unsatisfiable:
% 23.80/4.00 ---------------------------------
% 23.80/4.00
% 23.80/4.00 Begin of proof
% 23.80/4.00 |
% 23.80/4.00 | ALPHA: (mLEMonM) implies:
% 23.80/4.01 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 23.80/4.01 | ! [v5: $i] : ! [v6: int] : (v6 = 0 | ~ (sdtlseqdt0(v4, v5) = v6) | ~
% 23.80/4.01 | (sdtasdt0(v1, v3) = v5) | ~ (sdtasdt0(v0, v2) = v4) | ~ $i(v3) | ~
% 23.80/4.01 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v7: any] : ? [v8: any] : ?
% 23.80/4.01 | [v9: any] : ? [v10: any] : ? [v11: any] : ? [v12: any] : ? [v13:
% 23.80/4.01 | any] : (sdtlseqdt0(v2, v3) = v13 & sdtlseqdt0(v0, v1) = v11 &
% 23.80/4.01 | sdtlseqdt0(sz0z00, v2) = v12 & aScalar0(v3) = v10 & aScalar0(v2) =
% 23.80/4.01 | v9 & aScalar0(v1) = v8 & aScalar0(v0) = v7 & ( ~ (v13 = 0) | ~
% 23.80/4.01 | (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 =
% 23.80/4.01 | 0) | ~ (v7 = 0))))
% 23.80/4.01 |
% 23.80/4.01 | ALPHA: (mPosMon) implies:
% 23.80/4.01 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (sdtlseqdt0(sz0z00, v1) = 0) | ~
% 23.80/4.01 | (sdtlseqdt0(sz0z00, v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] :
% 23.80/4.01 | ? [v3: any] : ? [v4: $i] : ? [v5: any] : ? [v6: $i] : ? [v7:
% 23.80/4.01 | any] : (sdtlseqdt0(sz0z00, v6) = v7 & sdtlseqdt0(sz0z00, v4) = v5 &
% 23.80/4.01 | sdtasdt0(v0, v1) = v6 & sdtpldt0(v0, v1) = v4 & aScalar0(v1) = v3 &
% 23.80/4.01 | aScalar0(v0) = v2 & $i(v6) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) |
% 23.80/4.01 | (v7 = 0 & v5 = 0))))
% 23.80/4.01 |
% 23.80/4.01 | ALPHA: (mSqPos) implies:
% 23.80/4.01 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ (sdtasdt0(v0, v0) = v1) | ~ $i(v0) |
% 23.80/4.01 | ? [v2: any] : ? [v3: any] : (sdtlseqdt0(sz0z00, v1) = v3 &
% 23.80/4.01 | aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 23.80/4.01 |
% 23.80/4.01 | ALPHA: (m__1892) implies:
% 23.80/4.01 | (4) aScalar0(xR) = 0
% 23.80/4.01 |
% 23.80/4.01 | ALPHA: (m__1911) implies:
% 23.80/4.01 | (5) aScalar0(xP) = 0
% 23.80/4.01 |
% 23.80/4.01 | ALPHA: (m__1930) implies:
% 23.80/4.01 | (6) aScalar0(xS) = 0
% 23.80/4.01 |
% 23.80/4.01 | ALPHA: (m__2004) implies:
% 23.80/4.01 | (7) ? [v0: $i] : (sdtlseqdt0(v0, xN) = 0 & sdtasdt0(xP, xP) = v0 & $i(v0))
% 23.80/4.01 |
% 23.80/4.01 | ALPHA: (m__2104) implies:
% 23.80/4.01 | (8) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 23.80/4.01 | (sdtlseqdt0(v1, v4) = 0 & sdtasdt0(xS, xS) = v3 & sdtasdt0(xP, xP) = v0
% 23.80/4.01 | & sdtasdt0(xR, xR) = v2 & sdtpldt0(v2, v3) = v4 & sdtpldt0(v0, v0) =
% 23.80/4.01 | v1 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 23.80/4.01 |
% 23.80/4.01 | ALPHA: (m__2405) implies:
% 23.80/4.01 | (9) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (sdtlseqdt0(v1,
% 23.80/4.01 | v3) = 0 & sdtasdt0(v2, v2) = v3 & sdtasdt0(v0, v0) = v1 &
% 23.80/4.01 | sdtpldt0(xP, xP) = v0 & sdtpldt0(xR, xS) = v2 & $i(v3) & $i(v2) &
% 23.80/4.01 | $i(v1) & $i(v0))
% 23.80/4.01 |
% 23.80/4.01 | ALPHA: (m__2590) implies:
% 23.80/4.01 | (10) ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) &
% 23.80/4.01 | sdtlseqdt0(v0, v1) = v2 & sdtpldt0(xP, xP) = v0 & sdtpldt0(xR, xS) =
% 23.80/4.01 | v1 & $i(v1) & $i(v0))
% 23.80/4.01 |
% 23.80/4.01 | ALPHA: (m__2610) implies:
% 23.80/4.01 | (11) ? [v0: $i] : ? [v1: $i] : (sdtlseqdt0(v0, v1) = 0 & sdtpldt0(xP, xP)
% 23.80/4.01 | = v1 & sdtpldt0(xR, xS) = v0 & $i(v1) & $i(v0))
% 23.80/4.01 |
% 23.80/4.01 | ALPHA: (m__2628) implies:
% 23.80/4.01 | (12) ? [v0: $i] : ? [v1: $i] : (sdtlseqdt0(sz0z00, v1) = 0 &
% 23.80/4.01 | sdtlseqdt0(sz0z00, v0) = 0 & sdtpldt0(xP, xP) = v1 & sdtpldt0(xR,
% 23.80/4.01 | xS) = v0 & $i(v1) & $i(v0))
% 23.80/4.01 |
% 23.80/4.01 | ALPHA: (m__) implies:
% 23.80/4.01 | (13) $i(xR)
% 23.80/4.01 | (14) $i(xP)
% 23.80/4.01 | (15) $i(xS)
% 23.80/4.01 | (16) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: int] :
% 23.80/4.01 | ( ~ (v4 = 0) & sdtlseqdt0(v1, v3) = v4 & sdtasdt0(v2, v2) = v3 &
% 23.80/4.01 | sdtasdt0(v0, v0) = v1 & sdtpldt0(xP, xP) = v2 & sdtpldt0(xR, xS) =
% 23.80/4.01 | v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 23.80/4.01 |
% 23.80/4.01 | ALPHA: (function-axioms) implies:
% 23.80/4.02 | (17) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 23.80/4.02 | : (v1 = v0 | ~ (aScalar0(v2) = v1) | ~ (aScalar0(v2) = v0))
% 23.80/4.02 | (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 23.80/4.02 | (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0))
% 23.80/4.02 | (19) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 23.80/4.02 | (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0))
% 23.80/4.02 | (20) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 23.80/4.02 | : ! [v3: $i] : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~
% 23.80/4.02 | (sdtlseqdt0(v3, v2) = v0))
% 23.80/4.02 |
% 23.80/4.02 | DELTA: instantiating (7) with fresh symbol all_33_0 gives:
% 23.80/4.02 | (21) sdtlseqdt0(all_33_0, xN) = 0 & sdtasdt0(xP, xP) = all_33_0 &
% 23.80/4.02 | $i(all_33_0)
% 23.80/4.02 |
% 23.80/4.02 | ALPHA: (21) implies:
% 23.80/4.02 | (22) sdtasdt0(xP, xP) = all_33_0
% 23.80/4.02 |
% 23.80/4.02 | DELTA: instantiating (11) with fresh symbols all_43_0, all_43_1 gives:
% 23.80/4.02 | (23) sdtlseqdt0(all_43_1, all_43_0) = 0 & sdtpldt0(xP, xP) = all_43_0 &
% 23.80/4.02 | sdtpldt0(xR, xS) = all_43_1 & $i(all_43_0) & $i(all_43_1)
% 23.80/4.02 |
% 23.80/4.02 | ALPHA: (23) implies:
% 23.80/4.02 | (24) sdtpldt0(xR, xS) = all_43_1
% 23.80/4.02 | (25) sdtpldt0(xP, xP) = all_43_0
% 23.80/4.02 | (26) sdtlseqdt0(all_43_1, all_43_0) = 0
% 23.80/4.02 |
% 23.80/4.02 | DELTA: instantiating (12) with fresh symbols all_47_0, all_47_1 gives:
% 23.80/4.02 | (27) sdtlseqdt0(sz0z00, all_47_0) = 0 & sdtlseqdt0(sz0z00, all_47_1) = 0 &
% 23.80/4.02 | sdtpldt0(xP, xP) = all_47_0 & sdtpldt0(xR, xS) = all_47_1 &
% 23.80/4.02 | $i(all_47_0) & $i(all_47_1)
% 23.80/4.02 |
% 23.80/4.02 | ALPHA: (27) implies:
% 23.80/4.02 | (28) $i(all_47_1)
% 23.80/4.02 | (29) $i(all_47_0)
% 23.80/4.02 | (30) sdtpldt0(xR, xS) = all_47_1
% 23.80/4.02 | (31) sdtpldt0(xP, xP) = all_47_0
% 23.80/4.02 | (32) sdtlseqdt0(sz0z00, all_47_1) = 0
% 23.80/4.02 | (33) sdtlseqdt0(sz0z00, all_47_0) = 0
% 23.80/4.02 |
% 23.80/4.02 | DELTA: instantiating (10) with fresh symbols all_49_0, all_49_1, all_49_2
% 23.80/4.02 | gives:
% 23.80/4.02 | (34) ~ (all_49_0 = 0) & sdtlseqdt0(all_49_2, all_49_1) = all_49_0 &
% 23.80/4.02 | sdtpldt0(xP, xP) = all_49_2 & sdtpldt0(xR, xS) = all_49_1 &
% 23.80/4.02 | $i(all_49_1) & $i(all_49_2)
% 23.80/4.02 |
% 23.80/4.02 | ALPHA: (34) implies:
% 23.80/4.02 | (35) ~ (all_49_0 = 0)
% 23.80/4.02 | (36) sdtpldt0(xR, xS) = all_49_1
% 23.80/4.02 | (37) sdtpldt0(xP, xP) = all_49_2
% 23.80/4.02 | (38) sdtlseqdt0(all_49_2, all_49_1) = all_49_0
% 23.80/4.02 |
% 23.80/4.02 | DELTA: instantiating (9) with fresh symbols all_51_0, all_51_1, all_51_2,
% 23.80/4.02 | all_51_3 gives:
% 23.80/4.02 | (39) sdtlseqdt0(all_51_2, all_51_0) = 0 & sdtasdt0(all_51_1, all_51_1) =
% 23.80/4.02 | all_51_0 & sdtasdt0(all_51_3, all_51_3) = all_51_2 & sdtpldt0(xP, xP)
% 23.80/4.02 | = all_51_3 & sdtpldt0(xR, xS) = all_51_1 & $i(all_51_0) & $i(all_51_1)
% 23.80/4.02 | & $i(all_51_2) & $i(all_51_3)
% 23.80/4.02 |
% 23.80/4.02 | ALPHA: (39) implies:
% 23.80/4.02 | (40) sdtpldt0(xR, xS) = all_51_1
% 23.80/4.02 | (41) sdtpldt0(xP, xP) = all_51_3
% 23.80/4.02 | (42) sdtasdt0(all_51_3, all_51_3) = all_51_2
% 23.80/4.02 | (43) sdtasdt0(all_51_1, all_51_1) = all_51_0
% 23.80/4.02 |
% 23.80/4.02 | DELTA: instantiating (16) with fresh symbols all_53_0, all_53_1, all_53_2,
% 23.80/4.02 | all_53_3, all_53_4 gives:
% 23.80/4.02 | (44) ~ (all_53_0 = 0) & sdtlseqdt0(all_53_3, all_53_1) = all_53_0 &
% 23.80/4.02 | sdtasdt0(all_53_2, all_53_2) = all_53_1 & sdtasdt0(all_53_4, all_53_4)
% 23.80/4.02 | = all_53_3 & sdtpldt0(xP, xP) = all_53_2 & sdtpldt0(xR, xS) = all_53_4
% 23.80/4.02 | & $i(all_53_1) & $i(all_53_2) & $i(all_53_3) & $i(all_53_4)
% 23.80/4.02 |
% 23.80/4.02 | ALPHA: (44) implies:
% 23.80/4.02 | (45) ~ (all_53_0 = 0)
% 23.80/4.02 | (46) sdtpldt0(xR, xS) = all_53_4
% 23.80/4.02 | (47) sdtpldt0(xP, xP) = all_53_2
% 23.80/4.02 | (48) sdtasdt0(all_53_4, all_53_4) = all_53_3
% 23.80/4.02 | (49) sdtasdt0(all_53_2, all_53_2) = all_53_1
% 23.80/4.02 | (50) sdtlseqdt0(all_53_3, all_53_1) = all_53_0
% 23.80/4.02 |
% 23.80/4.02 | DELTA: instantiating (8) with fresh symbols all_55_0, all_55_1, all_55_2,
% 23.80/4.02 | all_55_3, all_55_4 gives:
% 23.80/4.03 | (51) sdtlseqdt0(all_55_3, all_55_0) = 0 & sdtasdt0(xS, xS) = all_55_1 &
% 23.80/4.03 | sdtasdt0(xP, xP) = all_55_4 & sdtasdt0(xR, xR) = all_55_2 &
% 23.80/4.03 | sdtpldt0(all_55_2, all_55_1) = all_55_0 & sdtpldt0(all_55_4, all_55_4)
% 23.80/4.03 | = all_55_3 & $i(all_55_0) & $i(all_55_1) & $i(all_55_2) & $i(all_55_3)
% 23.80/4.03 | & $i(all_55_4)
% 23.80/4.03 |
% 23.80/4.03 | ALPHA: (51) implies:
% 23.80/4.03 | (52) $i(all_55_4)
% 23.80/4.03 | (53) sdtpldt0(all_55_4, all_55_4) = all_55_3
% 23.80/4.03 | (54) sdtasdt0(xR, xR) = all_55_2
% 23.80/4.03 | (55) sdtasdt0(xP, xP) = all_55_4
% 23.80/4.03 | (56) sdtasdt0(xS, xS) = all_55_1
% 23.80/4.03 |
% 23.80/4.03 | GROUND_INST: instantiating (18) with all_49_1, all_51_1, xS, xR, simplifying
% 23.80/4.03 | with (36), (40) gives:
% 23.80/4.03 | (57) all_51_1 = all_49_1
% 23.80/4.03 |
% 23.80/4.03 | GROUND_INST: instantiating (18) with all_47_1, all_51_1, xS, xR, simplifying
% 23.80/4.03 | with (30), (40) gives:
% 23.80/4.03 | (58) all_51_1 = all_47_1
% 23.80/4.03 |
% 23.80/4.03 | GROUND_INST: instantiating (18) with all_49_1, all_53_4, xS, xR, simplifying
% 23.80/4.03 | with (36), (46) gives:
% 23.80/4.03 | (59) all_53_4 = all_49_1
% 23.80/4.03 |
% 23.80/4.03 | GROUND_INST: instantiating (18) with all_43_1, all_53_4, xS, xR, simplifying
% 23.80/4.03 | with (24), (46) gives:
% 23.80/4.03 | (60) all_53_4 = all_43_1
% 23.80/4.03 |
% 23.80/4.03 | GROUND_INST: instantiating (18) with all_49_2, all_51_3, xP, xP, simplifying
% 23.80/4.03 | with (37), (41) gives:
% 23.80/4.03 | (61) all_51_3 = all_49_2
% 23.80/4.03 |
% 23.80/4.03 | GROUND_INST: instantiating (18) with all_43_0, all_51_3, xP, xP, simplifying
% 23.80/4.03 | with (25), (41) gives:
% 23.80/4.03 | (62) all_51_3 = all_43_0
% 23.80/4.03 |
% 23.80/4.03 | GROUND_INST: instantiating (18) with all_49_2, all_53_2, xP, xP, simplifying
% 23.80/4.03 | with (37), (47) gives:
% 23.80/4.03 | (63) all_53_2 = all_49_2
% 23.80/4.03 |
% 23.80/4.03 | GROUND_INST: instantiating (18) with all_47_0, all_53_2, xP, xP, simplifying
% 23.80/4.03 | with (31), (47) gives:
% 23.80/4.03 | (64) all_53_2 = all_47_0
% 23.80/4.03 |
% 23.80/4.03 | GROUND_INST: instantiating (19) with all_33_0, all_55_4, xP, xP, simplifying
% 23.80/4.03 | with (22), (55) gives:
% 23.80/4.03 | (65) all_55_4 = all_33_0
% 23.80/4.03 |
% 23.80/4.03 | COMBINE_EQS: (63), (64) imply:
% 23.80/4.03 | (66) all_49_2 = all_47_0
% 23.80/4.03 |
% 23.80/4.03 | SIMP: (66) implies:
% 23.80/4.03 | (67) all_49_2 = all_47_0
% 23.80/4.03 |
% 23.80/4.03 | COMBINE_EQS: (59), (60) imply:
% 23.80/4.03 | (68) all_49_1 = all_43_1
% 23.80/4.03 |
% 23.80/4.03 | SIMP: (68) implies:
% 23.80/4.03 | (69) all_49_1 = all_43_1
% 23.80/4.03 |
% 23.80/4.03 | COMBINE_EQS: (57), (58) imply:
% 23.80/4.03 | (70) all_49_1 = all_47_1
% 23.80/4.03 |
% 23.80/4.03 | SIMP: (70) implies:
% 23.80/4.03 | (71) all_49_1 = all_47_1
% 23.80/4.03 |
% 23.80/4.03 | COMBINE_EQS: (61), (62) imply:
% 23.80/4.03 | (72) all_49_2 = all_43_0
% 23.80/4.03 |
% 23.80/4.03 | SIMP: (72) implies:
% 23.80/4.03 | (73) all_49_2 = all_43_0
% 23.80/4.03 |
% 23.80/4.03 | COMBINE_EQS: (69), (71) imply:
% 23.80/4.03 | (74) all_47_1 = all_43_1
% 23.80/4.03 |
% 23.80/4.03 | COMBINE_EQS: (67), (73) imply:
% 23.80/4.03 | (75) all_47_0 = all_43_0
% 23.80/4.03 |
% 23.80/4.03 | COMBINE_EQS: (58), (74) imply:
% 23.80/4.03 | (76) all_51_1 = all_43_1
% 23.80/4.03 |
% 23.80/4.03 | COMBINE_EQS: (64), (75) imply:
% 23.80/4.03 | (77) all_53_2 = all_43_0
% 23.80/4.03 |
% 23.80/4.03 | REDUCE: (38), (69), (73) imply:
% 23.80/4.03 | (78) sdtlseqdt0(all_43_0, all_43_1) = all_49_0
% 23.80/4.03 |
% 23.80/4.03 | REDUCE: (33), (75) imply:
% 23.80/4.03 | (79) sdtlseqdt0(sz0z00, all_43_0) = 0
% 23.80/4.03 |
% 23.80/4.03 | REDUCE: (32), (74) imply:
% 23.80/4.03 | (80) sdtlseqdt0(sz0z00, all_43_1) = 0
% 23.80/4.03 |
% 23.80/4.03 | REDUCE: (49), (77) imply:
% 23.80/4.04 | (81) sdtasdt0(all_43_0, all_43_0) = all_53_1
% 23.80/4.04 |
% 23.80/4.04 | REDUCE: (48), (60) imply:
% 23.80/4.04 | (82) sdtasdt0(all_43_1, all_43_1) = all_53_3
% 23.80/4.04 |
% 23.80/4.04 | REDUCE: (43), (76) imply:
% 23.80/4.04 | (83) sdtasdt0(all_43_1, all_43_1) = all_51_0
% 23.80/4.04 |
% 23.80/4.04 | REDUCE: (42), (62) imply:
% 23.80/4.04 | (84) sdtasdt0(all_43_0, all_43_0) = all_51_2
% 23.80/4.04 |
% 23.80/4.04 | REDUCE: (53), (65) imply:
% 23.80/4.04 | (85) sdtpldt0(all_33_0, all_33_0) = all_55_3
% 23.80/4.04 |
% 23.80/4.04 | REDUCE: (52), (65) imply:
% 23.80/4.04 | (86) $i(all_33_0)
% 23.80/4.04 |
% 23.80/4.04 | REDUCE: (29), (75) imply:
% 23.80/4.04 | (87) $i(all_43_0)
% 23.80/4.04 |
% 23.80/4.04 | REDUCE: (28), (74) imply:
% 23.80/4.04 | (88) $i(all_43_1)
% 23.80/4.04 |
% 23.80/4.04 | GROUND_INST: instantiating (19) with all_51_0, all_53_3, all_43_1, all_43_1,
% 23.80/4.04 | simplifying with (82), (83) gives:
% 23.80/4.04 | (89) all_53_3 = all_51_0
% 23.80/4.04 |
% 23.80/4.04 | GROUND_INST: instantiating (19) with all_51_2, all_53_1, all_43_0, all_43_0,
% 23.80/4.04 | simplifying with (81), (84) gives:
% 23.80/4.04 | (90) all_53_1 = all_51_2
% 23.80/4.04 |
% 23.80/4.04 | REDUCE: (50), (89), (90) imply:
% 23.80/4.04 | (91) sdtlseqdt0(all_51_0, all_51_2) = all_53_0
% 23.80/4.04 |
% 23.80/4.04 | GROUND_INST: instantiating (mSumSc) with xR, xS, all_43_1, simplifying with
% 23.80/4.04 | (13), (15), (24) gives:
% 23.80/4.04 | (92) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_43_1) = v2
% 23.80/4.04 | & aScalar0(xS) = v1 & aScalar0(xR) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)
% 23.80/4.04 | | v2 = 0))
% 23.80/4.04 |
% 23.80/4.04 | GROUND_INST: instantiating (mSumSc) with xP, xP, all_43_0, simplifying with
% 23.80/4.04 | (14), (25) gives:
% 23.80/4.04 | (93) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_43_0) = v2
% 23.80/4.04 | & aScalar0(xP) = v1 & aScalar0(xP) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)
% 23.80/4.04 | | v2 = 0))
% 23.80/4.04 |
% 23.80/4.04 | GROUND_INST: instantiating (mSumSc) with all_33_0, all_33_0, all_55_3,
% 23.80/4.04 | simplifying with (85), (86) gives:
% 23.80/4.04 | (94) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_55_3) = v2
% 23.80/4.04 | & aScalar0(all_33_0) = v1 & aScalar0(all_33_0) = v0 & ( ~ (v1 = 0) |
% 23.80/4.04 | ~ (v0 = 0) | v2 = 0))
% 23.80/4.04 |
% 23.80/4.04 | GROUND_INST: instantiating (3) with xR, all_55_2, simplifying with (13), (54)
% 23.80/4.04 | gives:
% 23.80/4.04 | (95) ? [v0: any] : ? [v1: any] : (sdtlseqdt0(sz0z00, all_55_2) = v1 &
% 23.80/4.04 | aScalar0(xR) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 23.80/4.04 |
% 23.80/4.04 | GROUND_INST: instantiating (mMulSc) with xR, xR, all_55_2, simplifying with
% 23.80/4.04 | (13), (54) gives:
% 23.80/4.04 | (96) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_55_2) = v2
% 23.80/4.04 | & aScalar0(xR) = v1 & aScalar0(xR) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)
% 23.80/4.04 | | v2 = 0))
% 23.80/4.04 |
% 23.80/4.04 | GROUND_INST: instantiating (mDistr) with xP, xP, xP, all_33_0, all_33_0,
% 23.80/4.04 | all_55_3, simplifying with (14), (22), (85) gives:
% 23.80/4.04 | (97) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4: $i]
% 23.80/4.04 | : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 23.80/4.04 | (sdtasdt0(v5, xP) = v6 & sdtasdt0(xP, v3) = v4 & sdtasdt0(xP, xP) = v7
% 23.80/4.04 | & sdtpldt0(all_33_0, v7) = v8 & sdtpldt0(xP, xP) = v5 & sdtpldt0(xP,
% 23.80/4.04 | xP) = v3 & aScalar0(xP) = v2 & aScalar0(xP) = v1 & aScalar0(xP) =
% 23.80/4.04 | v0 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & ( ~ (v2 =
% 23.80/4.04 | 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v8 = v6 & v4 = all_55_3)))
% 23.80/4.04 |
% 23.80/4.04 | GROUND_INST: instantiating (3) with xP, all_33_0, simplifying with (14), (22)
% 23.80/4.04 | gives:
% 23.80/4.04 | (98) ? [v0: any] : ? [v1: any] : (sdtlseqdt0(sz0z00, all_33_0) = v1 &
% 23.80/4.04 | aScalar0(xP) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 23.80/4.04 |
% 23.80/4.04 | GROUND_INST: instantiating (mMulSc) with xP, xP, all_33_0, simplifying with
% 23.80/4.04 | (14), (22) gives:
% 23.80/4.04 | (99) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_33_0) = v2
% 23.80/4.04 | & aScalar0(xP) = v1 & aScalar0(xP) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)
% 23.80/4.04 | | v2 = 0))
% 23.80/4.05 |
% 23.80/4.05 | GROUND_INST: instantiating (3) with xS, all_55_1, simplifying with (15), (56)
% 23.80/4.05 | gives:
% 23.80/4.05 | (100) ? [v0: any] : ? [v1: any] : (sdtlseqdt0(sz0z00, all_55_1) = v1 &
% 23.80/4.05 | aScalar0(xS) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 23.80/4.05 |
% 23.80/4.05 | GROUND_INST: instantiating (mMulSc) with xS, xS, all_55_1, simplifying with
% 23.80/4.05 | (15), (56) gives:
% 23.80/4.05 | (101) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_55_1) = v2
% 23.80/4.05 | & aScalar0(xS) = v1 & aScalar0(xS) = v0 & ( ~ (v1 = 0) | ~ (v0 =
% 23.80/4.05 | 0) | v2 = 0))
% 23.80/4.05 |
% 23.80/4.05 | GROUND_INST: instantiating (3) with all_43_1, all_51_0, simplifying with (83),
% 23.80/4.05 | (88) gives:
% 23.80/4.05 | (102) ? [v0: any] : ? [v1: any] : (sdtlseqdt0(sz0z00, all_51_0) = v1 &
% 23.80/4.05 | aScalar0(all_43_1) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 23.80/4.05 |
% 23.80/4.05 | GROUND_INST: instantiating (mMulSc) with all_43_1, all_43_1, all_51_0,
% 23.80/4.05 | simplifying with (83), (88) gives:
% 23.80/4.05 | (103) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_51_0) = v2
% 23.80/4.05 | & aScalar0(all_43_1) = v1 & aScalar0(all_43_1) = v0 & ( ~ (v1 = 0)
% 23.80/4.05 | | ~ (v0 = 0) | v2 = 0))
% 23.80/4.05 |
% 23.80/4.05 | GROUND_INST: instantiating (3) with all_43_0, all_51_2, simplifying with (84),
% 23.80/4.05 | (87) gives:
% 23.80/4.05 | (104) ? [v0: any] : ? [v1: any] : (sdtlseqdt0(sz0z00, all_51_2) = v1 &
% 23.80/4.05 | aScalar0(all_43_0) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 23.80/4.05 |
% 23.80/4.05 | GROUND_INST: instantiating (mMulSc) with all_43_0, all_43_0, all_51_2,
% 23.80/4.05 | simplifying with (84), (87) gives:
% 23.80/4.05 | (105) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_51_2) = v2
% 23.80/4.05 | & aScalar0(all_43_0) = v1 & aScalar0(all_43_0) = v0 & ( ~ (v1 = 0)
% 23.80/4.05 | | ~ (v0 = 0) | v2 = 0))
% 23.80/4.05 |
% 23.80/4.05 | GROUND_INST: instantiating (2) with all_43_1, all_43_1, simplifying with (80),
% 23.80/4.05 | (88) gives:
% 23.80/4.05 | (106) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : ? [v4:
% 23.80/4.05 | $i] : ? [v5: any] : (sdtlseqdt0(sz0z00, v4) = v5 &
% 23.80/4.05 | sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_43_1, all_43_1) = v4 &
% 23.80/4.05 | sdtpldt0(all_43_1, all_43_1) = v2 & aScalar0(all_43_1) = v1 &
% 23.80/4.05 | aScalar0(all_43_1) = v0 & $i(v4) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 =
% 23.80/4.05 | 0) | (v5 = 0 & v3 = 0)))
% 23.80/4.05 |
% 23.80/4.05 | GROUND_INST: instantiating (2) with all_43_0, all_43_0, simplifying with (79),
% 23.80/4.05 | (87) gives:
% 23.80/4.05 | (107) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : ? [v4:
% 23.80/4.05 | $i] : ? [v5: any] : (sdtlseqdt0(sz0z00, v4) = v5 &
% 23.80/4.05 | sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_43_0, all_43_0) = v4 &
% 23.80/4.05 | sdtpldt0(all_43_0, all_43_0) = v2 & aScalar0(all_43_0) = v1 &
% 23.80/4.05 | aScalar0(all_43_0) = v0 & $i(v4) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 =
% 23.80/4.05 | 0) | (v5 = 0 & v3 = 0)))
% 23.80/4.05 |
% 23.80/4.05 | GROUND_INST: instantiating (2) with all_43_1, all_43_0, simplifying with (79),
% 23.80/4.05 | (80), (87), (88) gives:
% 23.80/4.05 | (108) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : ? [v4:
% 23.80/4.05 | $i] : ? [v5: any] : (sdtlseqdt0(sz0z00, v4) = v5 &
% 23.80/4.05 | sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_43_1, all_43_0) = v4 &
% 23.80/4.05 | sdtpldt0(all_43_1, all_43_0) = v2 & aScalar0(all_43_0) = v1 &
% 23.80/4.05 | aScalar0(all_43_1) = v0 & $i(v4) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 =
% 23.80/4.05 | 0) | (v5 = 0 & v3 = 0)))
% 23.80/4.05 |
% 23.80/4.05 | GROUND_INST: instantiating (2) with all_43_0, all_43_1, simplifying with (79),
% 23.80/4.05 | (80), (87), (88) gives:
% 23.80/4.05 | (109) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : ? [v4:
% 23.80/4.05 | $i] : ? [v5: any] : (sdtlseqdt0(sz0z00, v4) = v5 &
% 23.80/4.05 | sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_43_0, all_43_1) = v4 &
% 23.80/4.05 | sdtpldt0(all_43_0, all_43_1) = v2 & aScalar0(all_43_0) = v0 &
% 23.80/4.05 | aScalar0(all_43_1) = v1 & $i(v4) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 =
% 23.80/4.05 | 0) | (v5 = 0 & v3 = 0)))
% 23.80/4.05 |
% 23.80/4.05 | GROUND_INST: instantiating (mLEMon) with xP, xR, xP, xS, all_43_0, all_43_1,
% 23.80/4.05 | all_49_0, simplifying with (13), (14), (15), (24), (25), (78)
% 23.80/4.05 | gives:
% 23.80/4.05 | (110) all_49_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3:
% 23.80/4.05 | any] : ? [v4: any] : ? [v5: any] : (sdtlseqdt0(xP, xS) = v5 &
% 23.80/4.05 | sdtlseqdt0(xP, xR) = v4 & aScalar0(xS) = v3 & aScalar0(xP) = v2 &
% 23.80/4.05 | aScalar0(xP) = v0 & aScalar0(xR) = v1 & ( ~ (v5 = 0) | ~ (v4 = 0)
% 23.80/4.05 | | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 23.80/4.05 |
% 23.80/4.05 | GROUND_INST: instantiating (1) with all_43_1, all_43_0, all_43_1, all_43_0,
% 23.80/4.05 | all_51_0, all_51_2, all_53_0, simplifying with (83), (84), (87),
% 23.80/4.05 | (88), (91) gives:
% 23.80/4.06 | (111) all_53_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3:
% 23.80/4.06 | any] : ? [v4: any] : ? [v5: any] : ? [v6: any] :
% 23.80/4.06 | (sdtlseqdt0(all_43_1, all_43_0) = v6 & sdtlseqdt0(all_43_1, all_43_0)
% 23.80/4.06 | = v4 & sdtlseqdt0(sz0z00, all_43_1) = v5 & aScalar0(all_43_0) = v3
% 23.80/4.06 | & aScalar0(all_43_0) = v1 & aScalar0(all_43_1) = v2 &
% 23.80/4.06 | aScalar0(all_43_1) = v0 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0)
% 23.80/4.06 | | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 23.80/4.06 |
% 23.80/4.06 | DELTA: instantiating (104) with fresh symbols all_90_0, all_90_1 gives:
% 23.80/4.06 | (112) sdtlseqdt0(sz0z00, all_51_2) = all_90_0 & aScalar0(all_43_0) =
% 23.80/4.06 | all_90_1 & ( ~ (all_90_1 = 0) | all_90_0 = 0)
% 23.80/4.06 |
% 23.80/4.06 | ALPHA: (112) implies:
% 23.80/4.06 | (113) aScalar0(all_43_0) = all_90_1
% 23.80/4.06 |
% 23.80/4.06 | DELTA: instantiating (102) with fresh symbols all_92_0, all_92_1 gives:
% 23.80/4.06 | (114) sdtlseqdt0(sz0z00, all_51_0) = all_92_0 & aScalar0(all_43_1) =
% 23.80/4.06 | all_92_1 & ( ~ (all_92_1 = 0) | all_92_0 = 0)
% 23.80/4.06 |
% 23.80/4.06 | ALPHA: (114) implies:
% 23.80/4.06 | (115) aScalar0(all_43_1) = all_92_1
% 23.80/4.06 |
% 23.80/4.06 | DELTA: instantiating (100) with fresh symbols all_94_0, all_94_1 gives:
% 23.80/4.06 | (116) sdtlseqdt0(sz0z00, all_55_1) = all_94_0 & aScalar0(xS) = all_94_1 & (
% 23.80/4.06 | ~ (all_94_1 = 0) | all_94_0 = 0)
% 23.80/4.06 |
% 23.80/4.06 | ALPHA: (116) implies:
% 23.80/4.06 | (117) aScalar0(xS) = all_94_1
% 23.80/4.06 |
% 23.80/4.06 | DELTA: instantiating (95) with fresh symbols all_96_0, all_96_1 gives:
% 23.80/4.06 | (118) sdtlseqdt0(sz0z00, all_55_2) = all_96_0 & aScalar0(xR) = all_96_1 & (
% 23.80/4.06 | ~ (all_96_1 = 0) | all_96_0 = 0)
% 23.80/4.06 |
% 23.80/4.06 | ALPHA: (118) implies:
% 23.80/4.06 | (119) aScalar0(xR) = all_96_1
% 23.80/4.06 |
% 23.80/4.06 | DELTA: instantiating (98) with fresh symbols all_98_0, all_98_1 gives:
% 23.80/4.06 | (120) sdtlseqdt0(sz0z00, all_33_0) = all_98_0 & aScalar0(xP) = all_98_1 & (
% 23.80/4.06 | ~ (all_98_1 = 0) | all_98_0 = 0)
% 23.80/4.06 |
% 23.80/4.06 | ALPHA: (120) implies:
% 23.80/4.06 | (121) aScalar0(xP) = all_98_1
% 23.80/4.06 |
% 23.80/4.06 | DELTA: instantiating (101) with fresh symbols all_106_0, all_106_1, all_106_2
% 23.80/4.06 | gives:
% 23.80/4.06 | (122) aScalar0(all_55_1) = all_106_0 & aScalar0(xS) = all_106_1 &
% 23.80/4.06 | aScalar0(xS) = all_106_2 & ( ~ (all_106_1 = 0) | ~ (all_106_2 = 0) |
% 23.80/4.06 | all_106_0 = 0)
% 23.80/4.06 |
% 23.80/4.06 | ALPHA: (122) implies:
% 23.80/4.06 | (123) aScalar0(xS) = all_106_2
% 23.80/4.06 | (124) aScalar0(xS) = all_106_1
% 23.80/4.06 |
% 23.80/4.06 | DELTA: instantiating (99) with fresh symbols all_116_0, all_116_1, all_116_2
% 23.80/4.06 | gives:
% 23.80/4.06 | (125) aScalar0(all_33_0) = all_116_0 & aScalar0(xP) = all_116_1 &
% 23.80/4.06 | aScalar0(xP) = all_116_2 & ( ~ (all_116_1 = 0) | ~ (all_116_2 = 0) |
% 23.80/4.06 | all_116_0 = 0)
% 23.80/4.06 |
% 23.80/4.06 | ALPHA: (125) implies:
% 23.80/4.06 | (126) aScalar0(xP) = all_116_2
% 23.80/4.06 | (127) aScalar0(xP) = all_116_1
% 23.80/4.06 | (128) aScalar0(all_33_0) = all_116_0
% 23.80/4.06 | (129) ~ (all_116_1 = 0) | ~ (all_116_2 = 0) | all_116_0 = 0
% 23.80/4.06 |
% 23.80/4.06 | DELTA: instantiating (96) with fresh symbols all_118_0, all_118_1, all_118_2
% 23.80/4.06 | gives:
% 23.80/4.06 | (130) aScalar0(all_55_2) = all_118_0 & aScalar0(xR) = all_118_1 &
% 23.80/4.06 | aScalar0(xR) = all_118_2 & ( ~ (all_118_1 = 0) | ~ (all_118_2 = 0) |
% 23.80/4.06 | all_118_0 = 0)
% 23.80/4.06 |
% 23.80/4.06 | ALPHA: (130) implies:
% 23.80/4.06 | (131) aScalar0(xR) = all_118_2
% 23.80/4.06 | (132) aScalar0(xR) = all_118_1
% 23.80/4.06 |
% 23.80/4.06 | DELTA: instantiating (94) with fresh symbols all_122_0, all_122_1, all_122_2
% 23.80/4.06 | gives:
% 23.80/4.06 | (133) aScalar0(all_55_3) = all_122_0 & aScalar0(all_33_0) = all_122_1 &
% 23.80/4.07 | aScalar0(all_33_0) = all_122_2 & ( ~ (all_122_1 = 0) | ~ (all_122_2
% 23.80/4.07 | = 0) | all_122_0 = 0)
% 23.80/4.07 |
% 23.80/4.07 | ALPHA: (133) implies:
% 23.80/4.07 | (134) aScalar0(all_33_0) = all_122_2
% 23.80/4.07 | (135) aScalar0(all_33_0) = all_122_1
% 23.80/4.07 | (136) ~ (all_122_1 = 0) | ~ (all_122_2 = 0) | all_122_0 = 0
% 23.80/4.07 |
% 23.80/4.07 | DELTA: instantiating (105) with fresh symbols all_124_0, all_124_1, all_124_2
% 23.80/4.07 | gives:
% 23.80/4.07 | (137) aScalar0(all_51_2) = all_124_0 & aScalar0(all_43_0) = all_124_1 &
% 23.80/4.07 | aScalar0(all_43_0) = all_124_2 & ( ~ (all_124_1 = 0) | ~ (all_124_2
% 23.80/4.07 | = 0) | all_124_0 = 0)
% 23.80/4.07 |
% 23.80/4.07 | ALPHA: (137) implies:
% 23.80/4.07 | (138) aScalar0(all_43_0) = all_124_2
% 23.80/4.07 | (139) aScalar0(all_43_0) = all_124_1
% 23.80/4.07 |
% 23.80/4.07 | DELTA: instantiating (103) with fresh symbols all_126_0, all_126_1, all_126_2
% 23.80/4.07 | gives:
% 23.80/4.07 | (140) aScalar0(all_51_0) = all_126_0 & aScalar0(all_43_1) = all_126_1 &
% 23.80/4.07 | aScalar0(all_43_1) = all_126_2 & ( ~ (all_126_1 = 0) | ~ (all_126_2
% 23.80/4.07 | = 0) | all_126_0 = 0)
% 23.80/4.07 |
% 23.80/4.07 | ALPHA: (140) implies:
% 23.80/4.07 | (141) aScalar0(all_43_1) = all_126_2
% 23.80/4.07 | (142) aScalar0(all_43_1) = all_126_1
% 23.80/4.07 |
% 23.80/4.07 | DELTA: instantiating (93) with fresh symbols all_128_0, all_128_1, all_128_2
% 23.80/4.07 | gives:
% 23.80/4.07 | (143) aScalar0(all_43_0) = all_128_0 & aScalar0(xP) = all_128_1 &
% 23.80/4.07 | aScalar0(xP) = all_128_2 & ( ~ (all_128_1 = 0) | ~ (all_128_2 = 0) |
% 23.80/4.07 | all_128_0 = 0)
% 23.80/4.07 |
% 23.80/4.07 | ALPHA: (143) implies:
% 23.80/4.07 | (144) aScalar0(xP) = all_128_2
% 23.80/4.07 | (145) aScalar0(xP) = all_128_1
% 23.80/4.07 | (146) aScalar0(all_43_0) = all_128_0
% 23.80/4.07 | (147) ~ (all_128_1 = 0) | ~ (all_128_2 = 0) | all_128_0 = 0
% 23.80/4.07 |
% 23.80/4.07 | DELTA: instantiating (92) with fresh symbols all_130_0, all_130_1, all_130_2
% 23.80/4.07 | gives:
% 23.80/4.07 | (148) aScalar0(all_43_1) = all_130_0 & aScalar0(xS) = all_130_1 &
% 23.80/4.07 | aScalar0(xR) = all_130_2 & ( ~ (all_130_1 = 0) | ~ (all_130_2 = 0) |
% 23.80/4.07 | all_130_0 = 0)
% 23.80/4.07 |
% 23.80/4.07 | ALPHA: (148) implies:
% 23.80/4.07 | (149) aScalar0(xR) = all_130_2
% 23.80/4.07 | (150) aScalar0(xS) = all_130_1
% 23.80/4.07 | (151) aScalar0(all_43_1) = all_130_0
% 23.80/4.07 | (152) ~ (all_130_1 = 0) | ~ (all_130_2 = 0) | all_130_0 = 0
% 23.80/4.07 |
% 23.80/4.07 | DELTA: instantiating (109) with fresh symbols all_138_0, all_138_1, all_138_2,
% 23.80/4.07 | all_138_3, all_138_4, all_138_5 gives:
% 23.80/4.07 | (153) sdtlseqdt0(sz0z00, all_138_1) = all_138_0 & sdtlseqdt0(sz0z00,
% 23.80/4.07 | all_138_3) = all_138_2 & sdtasdt0(all_43_0, all_43_1) = all_138_1 &
% 23.80/4.07 | sdtpldt0(all_43_0, all_43_1) = all_138_3 & aScalar0(all_43_0) =
% 23.80/4.07 | all_138_5 & aScalar0(all_43_1) = all_138_4 & $i(all_138_1) &
% 23.80/4.07 | $i(all_138_3) & ( ~ (all_138_4 = 0) | ~ (all_138_5 = 0) | (all_138_0
% 23.80/4.07 | = 0 & all_138_2 = 0))
% 23.80/4.07 |
% 23.80/4.07 | ALPHA: (153) implies:
% 23.80/4.07 | (154) aScalar0(all_43_1) = all_138_4
% 23.80/4.07 | (155) aScalar0(all_43_0) = all_138_5
% 23.80/4.07 |
% 23.80/4.07 | DELTA: instantiating (108) with fresh symbols all_140_0, all_140_1, all_140_2,
% 23.80/4.07 | all_140_3, all_140_4, all_140_5 gives:
% 23.80/4.07 | (156) sdtlseqdt0(sz0z00, all_140_1) = all_140_0 & sdtlseqdt0(sz0z00,
% 23.80/4.07 | all_140_3) = all_140_2 & sdtasdt0(all_43_1, all_43_0) = all_140_1 &
% 23.80/4.07 | sdtpldt0(all_43_1, all_43_0) = all_140_3 & aScalar0(all_43_0) =
% 23.80/4.07 | all_140_4 & aScalar0(all_43_1) = all_140_5 & $i(all_140_1) &
% 23.80/4.07 | $i(all_140_3) & ( ~ (all_140_4 = 0) | ~ (all_140_5 = 0) | (all_140_0
% 23.80/4.07 | = 0 & all_140_2 = 0))
% 23.80/4.07 |
% 23.80/4.07 | ALPHA: (156) implies:
% 23.80/4.07 | (157) aScalar0(all_43_1) = all_140_5
% 23.80/4.07 | (158) aScalar0(all_43_0) = all_140_4
% 23.80/4.07 |
% 23.80/4.07 | DELTA: instantiating (106) with fresh symbols all_142_0, all_142_1, all_142_2,
% 23.80/4.07 | all_142_3, all_142_4, all_142_5 gives:
% 23.80/4.07 | (159) sdtlseqdt0(sz0z00, all_142_1) = all_142_0 & sdtlseqdt0(sz0z00,
% 23.80/4.07 | all_142_3) = all_142_2 & sdtasdt0(all_43_1, all_43_1) = all_142_1 &
% 23.80/4.07 | sdtpldt0(all_43_1, all_43_1) = all_142_3 & aScalar0(all_43_1) =
% 23.80/4.07 | all_142_4 & aScalar0(all_43_1) = all_142_5 & $i(all_142_1) &
% 23.80/4.07 | $i(all_142_3) & ( ~ (all_142_4 = 0) | ~ (all_142_5 = 0) | (all_142_0
% 23.80/4.07 | = 0 & all_142_2 = 0))
% 23.80/4.07 |
% 23.80/4.07 | ALPHA: (159) implies:
% 23.80/4.07 | (160) aScalar0(all_43_1) = all_142_5
% 23.80/4.07 | (161) aScalar0(all_43_1) = all_142_4
% 23.80/4.07 |
% 23.80/4.07 | DELTA: instantiating (107) with fresh symbols all_144_0, all_144_1, all_144_2,
% 23.80/4.07 | all_144_3, all_144_4, all_144_5 gives:
% 23.80/4.07 | (162) sdtlseqdt0(sz0z00, all_144_1) = all_144_0 & sdtlseqdt0(sz0z00,
% 23.80/4.07 | all_144_3) = all_144_2 & sdtasdt0(all_43_0, all_43_0) = all_144_1 &
% 23.80/4.07 | sdtpldt0(all_43_0, all_43_0) = all_144_3 & aScalar0(all_43_0) =
% 23.80/4.07 | all_144_4 & aScalar0(all_43_0) = all_144_5 & $i(all_144_1) &
% 23.80/4.07 | $i(all_144_3) & ( ~ (all_144_4 = 0) | ~ (all_144_5 = 0) | (all_144_0
% 23.80/4.07 | = 0 & all_144_2 = 0))
% 23.80/4.07 |
% 23.80/4.07 | ALPHA: (162) implies:
% 23.80/4.07 | (163) aScalar0(all_43_0) = all_144_5
% 23.80/4.07 | (164) aScalar0(all_43_0) = all_144_4
% 23.80/4.07 |
% 23.80/4.07 | DELTA: instantiating (97) with fresh symbols all_156_0, all_156_1, all_156_2,
% 23.80/4.07 | all_156_3, all_156_4, all_156_5, all_156_6, all_156_7, all_156_8 gives:
% 23.80/4.07 | (165) sdtasdt0(all_156_3, xP) = all_156_2 & sdtasdt0(xP, all_156_5) =
% 23.80/4.07 | all_156_4 & sdtasdt0(xP, xP) = all_156_1 & sdtpldt0(all_33_0,
% 23.80/4.07 | all_156_1) = all_156_0 & sdtpldt0(xP, xP) = all_156_3 &
% 23.80/4.07 | sdtpldt0(xP, xP) = all_156_5 & aScalar0(xP) = all_156_6 &
% 23.80/4.07 | aScalar0(xP) = all_156_7 & aScalar0(xP) = all_156_8 & $i(all_156_0) &
% 23.80/4.07 | $i(all_156_1) & $i(all_156_2) & $i(all_156_3) & $i(all_156_4) &
% 23.80/4.07 | $i(all_156_5) & ( ~ (all_156_6 = 0) | ~ (all_156_7 = 0) | ~
% 23.80/4.07 | (all_156_8 = 0) | (all_156_0 = all_156_2 & all_156_4 = all_55_3))
% 23.80/4.07 |
% 23.80/4.07 | ALPHA: (165) implies:
% 23.80/4.07 | (166) aScalar0(xP) = all_156_8
% 23.80/4.07 | (167) aScalar0(xP) = all_156_7
% 23.80/4.07 | (168) aScalar0(xP) = all_156_6
% 23.80/4.07 |
% 23.80/4.07 | BETA: splitting (110) gives:
% 23.80/4.07 |
% 23.80/4.07 | Case 1:
% 23.80/4.07 | |
% 23.80/4.07 | | (169) all_49_0 = 0
% 23.80/4.07 | |
% 23.80/4.07 | | REDUCE: (35), (169) imply:
% 23.80/4.07 | | (170) $false
% 23.80/4.07 | |
% 23.80/4.07 | | CLOSE: (170) is inconsistent.
% 23.80/4.07 | |
% 23.80/4.07 | Case 2:
% 23.80/4.07 | |
% 23.80/4.07 | | (171) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4:
% 23.80/4.07 | | any] : ? [v5: any] : (sdtlseqdt0(xP, xS) = v5 & sdtlseqdt0(xP,
% 23.80/4.07 | | xR) = v4 & aScalar0(xS) = v3 & aScalar0(xP) = v2 & aScalar0(xP)
% 23.80/4.07 | | = v0 & aScalar0(xR) = v1 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 =
% 23.80/4.07 | | 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 23.80/4.07 | |
% 23.80/4.07 | | DELTA: instantiating (171) with fresh symbols all_166_0, all_166_1,
% 23.80/4.07 | | all_166_2, all_166_3, all_166_4, all_166_5 gives:
% 23.80/4.08 | | (172) sdtlseqdt0(xP, xS) = all_166_0 & sdtlseqdt0(xP, xR) = all_166_1 &
% 23.80/4.08 | | aScalar0(xS) = all_166_2 & aScalar0(xP) = all_166_3 & aScalar0(xP)
% 23.80/4.08 | | = all_166_5 & aScalar0(xR) = all_166_4 & ( ~ (all_166_0 = 0) | ~
% 23.80/4.08 | | (all_166_1 = 0) | ~ (all_166_2 = 0) | ~ (all_166_3 = 0) | ~
% 23.80/4.08 | | (all_166_4 = 0) | ~ (all_166_5 = 0))
% 23.80/4.08 | |
% 23.80/4.08 | | ALPHA: (172) implies:
% 23.80/4.08 | | (173) aScalar0(xR) = all_166_4
% 23.80/4.08 | | (174) aScalar0(xP) = all_166_5
% 23.80/4.08 | | (175) aScalar0(xP) = all_166_3
% 23.80/4.08 | | (176) aScalar0(xS) = all_166_2
% 23.80/4.08 | |
% 23.80/4.08 | | GROUND_INST: instantiating (17) with 0, all_118_1, xR, simplifying with (4),
% 23.80/4.08 | | (132) gives:
% 23.80/4.08 | | (177) all_118_1 = 0
% 23.80/4.08 | |
% 23.80/4.08 | | GROUND_INST: instantiating (17) with all_96_1, all_118_1, xR, simplifying
% 23.80/4.08 | | with (119), (132) gives:
% 23.80/4.08 | | (178) all_118_1 = all_96_1
% 23.80/4.08 | |
% 23.80/4.08 | | GROUND_INST: instantiating (17) with all_118_1, all_130_2, xR, simplifying
% 23.80/4.08 | | with (132), (149) gives:
% 23.80/4.08 | | (179) all_130_2 = all_118_1
% 23.80/4.08 | |
% 23.80/4.08 | | GROUND_INST: instantiating (17) with all_130_2, all_166_4, xR, simplifying
% 23.80/4.08 | | with (149), (173) gives:
% 23.80/4.08 | | (180) all_166_4 = all_130_2
% 23.80/4.08 | |
% 23.80/4.08 | | GROUND_INST: instantiating (17) with all_118_2, all_166_4, xR, simplifying
% 23.80/4.08 | | with (131), (173) gives:
% 23.80/4.08 | | (181) all_166_4 = all_118_2
% 23.80/4.08 | |
% 23.80/4.08 | | GROUND_INST: instantiating (17) with 0, all_116_2, xP, simplifying with (5),
% 23.80/4.08 | | (126) gives:
% 23.80/4.08 | | (182) all_116_2 = 0
% 23.80/4.08 | |
% 23.80/4.08 | | GROUND_INST: instantiating (17) with all_116_2, all_116_1, xP, simplifying
% 23.80/4.08 | | with (126), (127) gives:
% 23.80/4.08 | | (183) all_116_1 = all_116_2
% 23.80/4.08 | |
% 23.80/4.08 | | GROUND_INST: instantiating (17) with all_156_8, all_156_7, xP, simplifying
% 23.80/4.08 | | with (166), (167) gives:
% 23.80/4.08 | | (184) all_156_7 = all_156_8
% 23.80/4.08 | |
% 23.80/4.08 | | GROUND_INST: instantiating (17) with all_98_1, all_156_7, xP, simplifying
% 23.80/4.08 | | with (121), (167) gives:
% 23.80/4.08 | | (185) all_156_7 = all_98_1
% 23.80/4.08 | |
% 23.80/4.08 | | GROUND_INST: instantiating (17) with all_156_7, all_156_6, xP, simplifying
% 23.80/4.08 | | with (167), (168) gives:
% 23.80/4.08 | | (186) all_156_6 = all_156_7
% 23.80/4.08 | |
% 23.80/4.08 | | GROUND_INST: instantiating (17) with all_128_1, all_156_6, xP, simplifying
% 23.80/4.08 | | with (145), (168) gives:
% 23.80/4.08 | | (187) all_156_6 = all_128_1
% 23.80/4.08 | |
% 23.80/4.08 | | GROUND_INST: instantiating (17) with all_116_1, all_156_6, xP, simplifying
% 23.80/4.08 | | with (127), (168) gives:
% 23.80/4.08 | | (188) all_156_6 = all_116_1
% 23.80/4.08 | |
% 23.80/4.08 | | GROUND_INST: instantiating (17) with all_166_5, all_166_3, xP, simplifying
% 23.80/4.08 | | with (174), (175) gives:
% 23.80/4.08 | | (189) all_166_3 = all_166_5
% 23.80/4.08 | |
% 23.80/4.08 | | GROUND_INST: instantiating (17) with all_156_6, all_166_3, xP, simplifying
% 23.80/4.08 | | with (168), (175) gives:
% 23.80/4.08 | | (190) all_166_3 = all_156_6
% 23.80/4.08 | |
% 23.80/4.08 | | GROUND_INST: instantiating (17) with all_128_2, all_166_3, xP, simplifying
% 23.80/4.08 | | with (144), (175) gives:
% 23.80/4.08 | | (191) all_166_3 = all_128_2
% 23.80/4.08 | |
% 23.80/4.08 | | GROUND_INST: instantiating (17) with 0, all_106_1, xS, simplifying with (6),
% 23.80/4.08 | | (124) gives:
% 23.80/4.08 | | (192) all_106_1 = 0
% 23.80/4.08 | |
% 23.80/4.08 | | GROUND_INST: instantiating (17) with all_106_2, all_106_1, xS, simplifying
% 23.80/4.08 | | with (123), (124) gives:
% 23.80/4.08 | | (193) all_106_1 = all_106_2
% 23.80/4.08 | |
% 23.80/4.08 | | GROUND_INST: instantiating (17) with all_106_1, all_130_1, xS, simplifying
% 23.80/4.08 | | with (124), (150) gives:
% 23.80/4.08 | | (194) all_130_1 = all_106_1
% 23.80/4.08 | |
% 23.80/4.08 | | GROUND_INST: instantiating (17) with all_130_1, all_166_2, xS, simplifying
% 23.80/4.08 | | with (150), (176) gives:
% 23.80/4.08 | | (195) all_166_2 = all_130_1
% 23.80/4.08 | |
% 23.80/4.08 | | GROUND_INST: instantiating (17) with all_94_1, all_166_2, xS, simplifying
% 23.80/4.08 | | with (117), (176) gives:
% 23.80/4.08 | | (196) all_166_2 = all_94_1
% 23.80/4.08 | |
% 23.80/4.08 | | GROUND_INST: instantiating (17) with all_122_2, all_122_1, all_33_0,
% 23.80/4.08 | | simplifying with (134), (135) gives:
% 23.80/4.08 | | (197) all_122_1 = all_122_2
% 23.80/4.08 | |
% 23.80/4.09 | | GROUND_INST: instantiating (17) with all_116_0, all_122_1, all_33_0,
% 23.80/4.09 | | simplifying with (128), (135) gives:
% 23.80/4.09 | | (198) all_122_1 = all_116_0
% 23.80/4.09 | |
% 23.80/4.09 | | GROUND_INST: instantiating (17) with all_126_2, all_126_1, all_43_1,
% 23.80/4.09 | | simplifying with (141), (142) gives:
% 23.80/4.09 | | (199) all_126_1 = all_126_2
% 23.80/4.09 | |
% 23.80/4.09 | | GROUND_INST: instantiating (17) with all_92_1, all_138_4, all_43_1,
% 23.80/4.09 | | simplifying with (115), (154) gives:
% 23.80/4.09 | | (200) all_138_4 = all_92_1
% 23.80/4.09 | |
% 23.80/4.09 | | GROUND_INST: instantiating (17) with all_138_4, all_142_5, all_43_1,
% 23.80/4.09 | | simplifying with (154), (160) gives:
% 23.80/4.09 | | (201) all_142_5 = all_138_4
% 23.80/4.09 | |
% 23.80/4.09 | | GROUND_INST: instantiating (17) with all_130_0, all_142_5, all_43_1,
% 23.80/4.09 | | simplifying with (151), (160) gives:
% 23.80/4.09 | | (202) all_142_5 = all_130_0
% 23.80/4.09 | |
% 23.80/4.09 | | GROUND_INST: instantiating (17) with all_126_1, all_142_5, all_43_1,
% 23.80/4.09 | | simplifying with (142), (160) gives:
% 23.80/4.09 | | (203) all_142_5 = all_126_1
% 23.80/4.09 | |
% 23.80/4.09 | | GROUND_INST: instantiating (17) with all_142_5, all_142_4, all_43_1,
% 23.80/4.09 | | simplifying with (160), (161) gives:
% 23.80/4.09 | | (204) all_142_4 = all_142_5
% 23.80/4.09 | |
% 23.80/4.09 | | GROUND_INST: instantiating (17) with all_140_5, all_142_4, all_43_1,
% 23.80/4.09 | | simplifying with (157), (161) gives:
% 23.80/4.09 | | (205) all_142_4 = all_140_5
% 23.80/4.09 | |
% 23.80/4.09 | | GROUND_INST: instantiating (17) with all_124_2, all_128_0, all_43_0,
% 23.80/4.09 | | simplifying with (138), (146) gives:
% 23.80/4.09 | | (206) all_128_0 = all_124_2
% 23.80/4.09 | |
% 23.80/4.09 | | GROUND_INST: instantiating (17) with all_138_5, all_140_4, all_43_0,
% 23.80/4.09 | | simplifying with (155), (158) gives:
% 23.80/4.09 | | (207) all_140_4 = all_138_5
% 23.80/4.09 | |
% 23.80/4.09 | | GROUND_INST: instantiating (17) with all_128_0, all_140_4, all_43_0,
% 23.80/4.09 | | simplifying with (146), (158) gives:
% 23.80/4.09 | | (208) all_140_4 = all_128_0
% 23.80/4.09 | |
% 23.80/4.09 | | GROUND_INST: instantiating (17) with all_128_0, all_144_5, all_43_0,
% 23.80/4.09 | | simplifying with (146), (163) gives:
% 23.80/4.09 | | (209) all_144_5 = all_128_0
% 23.80/4.09 | |
% 23.80/4.09 | | GROUND_INST: instantiating (17) with all_90_1, all_144_5, all_43_0,
% 23.80/4.09 | | simplifying with (113), (163) gives:
% 23.80/4.09 | | (210) all_144_5 = all_90_1
% 23.80/4.09 | |
% 23.80/4.09 | | GROUND_INST: instantiating (17) with all_140_4, all_144_4, all_43_0,
% 23.80/4.09 | | simplifying with (158), (164) gives:
% 23.80/4.09 | | (211) all_144_4 = all_140_4
% 23.80/4.09 | |
% 23.80/4.09 | | GROUND_INST: instantiating (17) with all_124_1, all_144_4, all_43_0,
% 23.80/4.09 | | simplifying with (139), (164) gives:
% 23.80/4.09 | | (212) all_144_4 = all_124_1
% 23.80/4.09 | |
% 23.80/4.09 | | COMBINE_EQS: (195), (196) imply:
% 23.80/4.09 | | (213) all_130_1 = all_94_1
% 23.80/4.09 | |
% 23.80/4.09 | | SIMP: (213) implies:
% 23.80/4.09 | | (214) all_130_1 = all_94_1
% 23.80/4.09 | |
% 23.80/4.09 | | COMBINE_EQS: (189), (191) imply:
% 23.80/4.09 | | (215) all_166_5 = all_128_2
% 23.80/4.09 | |
% 23.80/4.09 | | COMBINE_EQS: (189), (190) imply:
% 23.80/4.09 | | (216) all_166_5 = all_156_6
% 23.80/4.09 | |
% 23.80/4.09 | | COMBINE_EQS: (180), (181) imply:
% 23.80/4.09 | | (217) all_130_2 = all_118_2
% 23.80/4.09 | |
% 23.80/4.09 | | SIMP: (217) implies:
% 23.80/4.09 | | (218) all_130_2 = all_118_2
% 23.80/4.09 | |
% 23.80/4.09 | | COMBINE_EQS: (215), (216) imply:
% 23.80/4.09 | | (219) all_156_6 = all_128_2
% 23.80/4.09 | |
% 23.80/4.09 | | SIMP: (219) implies:
% 23.80/4.09 | | (220) all_156_6 = all_128_2
% 23.80/4.09 | |
% 23.80/4.09 | | COMBINE_EQS: (186), (187) imply:
% 23.80/4.09 | | (221) all_156_7 = all_128_1
% 23.80/4.09 | |
% 23.80/4.09 | | SIMP: (221) implies:
% 23.80/4.09 | | (222) all_156_7 = all_128_1
% 23.80/4.09 | |
% 23.80/4.09 | | COMBINE_EQS: (187), (188) imply:
% 23.80/4.09 | | (223) all_128_1 = all_116_1
% 23.80/4.09 | |
% 23.80/4.09 | | COMBINE_EQS: (187), (220) imply:
% 23.80/4.09 | | (224) all_128_1 = all_128_2
% 23.80/4.09 | |
% 23.80/4.09 | | COMBINE_EQS: (184), (185) imply:
% 23.80/4.09 | | (225) all_156_8 = all_98_1
% 23.80/4.09 | |
% 23.80/4.09 | | COMBINE_EQS: (184), (222) imply:
% 23.80/4.09 | | (226) all_156_8 = all_128_1
% 23.80/4.09 | |
% 23.80/4.09 | | COMBINE_EQS: (225), (226) imply:
% 23.80/4.09 | | (227) all_128_1 = all_98_1
% 23.80/4.09 | |
% 23.80/4.09 | | SIMP: (227) implies:
% 23.80/4.09 | | (228) all_128_1 = all_98_1
% 23.80/4.09 | |
% 23.80/4.09 | | COMBINE_EQS: (211), (212) imply:
% 23.80/4.09 | | (229) all_140_4 = all_124_1
% 23.80/4.09 | |
% 23.80/4.09 | | SIMP: (229) implies:
% 23.80/4.09 | | (230) all_140_4 = all_124_1
% 23.80/4.09 | |
% 23.80/4.09 | | COMBINE_EQS: (209), (210) imply:
% 23.80/4.09 | | (231) all_128_0 = all_90_1
% 23.80/4.09 | |
% 23.80/4.09 | | SIMP: (231) implies:
% 23.80/4.09 | | (232) all_128_0 = all_90_1
% 23.80/4.09 | |
% 23.80/4.09 | | COMBINE_EQS: (204), (205) imply:
% 23.80/4.09 | | (233) all_142_5 = all_140_5
% 23.80/4.09 | |
% 23.80/4.09 | | SIMP: (233) implies:
% 23.80/4.09 | | (234) all_142_5 = all_140_5
% 23.80/4.09 | |
% 23.80/4.09 | | COMBINE_EQS: (202), (234) imply:
% 23.80/4.09 | | (235) all_140_5 = all_130_0
% 23.80/4.09 | |
% 23.80/4.09 | | COMBINE_EQS: (201), (234) imply:
% 23.80/4.09 | | (236) all_140_5 = all_138_4
% 23.80/4.09 | |
% 23.80/4.09 | | COMBINE_EQS: (203), (234) imply:
% 23.80/4.09 | | (237) all_140_5 = all_126_1
% 23.80/4.09 | |
% 23.80/4.09 | | COMBINE_EQS: (207), (208) imply:
% 23.80/4.10 | | (238) all_138_5 = all_128_0
% 23.80/4.10 | |
% 23.80/4.10 | | COMBINE_EQS: (207), (230) imply:
% 23.80/4.10 | | (239) all_138_5 = all_124_1
% 23.80/4.10 | |
% 23.80/4.10 | | COMBINE_EQS: (235), (236) imply:
% 23.80/4.10 | | (240) all_138_4 = all_130_0
% 23.80/4.10 | |
% 23.80/4.10 | | SIMP: (240) implies:
% 23.80/4.10 | | (241) all_138_4 = all_130_0
% 23.80/4.10 | |
% 23.80/4.10 | | COMBINE_EQS: (235), (237) imply:
% 23.80/4.10 | | (242) all_130_0 = all_126_1
% 23.80/4.10 | |
% 23.80/4.10 | | COMBINE_EQS: (200), (241) imply:
% 23.80/4.10 | | (243) all_130_0 = all_92_1
% 23.80/4.10 | |
% 23.80/4.10 | | SIMP: (243) implies:
% 23.80/4.10 | | (244) all_130_0 = all_92_1
% 23.80/4.10 | |
% 23.80/4.10 | | COMBINE_EQS: (238), (239) imply:
% 23.80/4.10 | | (245) all_128_0 = all_124_1
% 23.80/4.10 | |
% 23.80/4.10 | | SIMP: (245) implies:
% 23.80/4.10 | | (246) all_128_0 = all_124_1
% 23.80/4.10 | |
% 23.80/4.10 | | COMBINE_EQS: (242), (244) imply:
% 23.80/4.10 | | (247) all_126_1 = all_92_1
% 23.80/4.10 | |
% 23.80/4.10 | | SIMP: (247) implies:
% 23.80/4.10 | | (248) all_126_1 = all_92_1
% 23.80/4.10 | |
% 23.80/4.10 | | COMBINE_EQS: (194), (214) imply:
% 23.80/4.10 | | (249) all_106_1 = all_94_1
% 23.80/4.10 | |
% 23.80/4.10 | | SIMP: (249) implies:
% 23.80/4.10 | | (250) all_106_1 = all_94_1
% 23.80/4.10 | |
% 23.80/4.10 | | COMBINE_EQS: (179), (218) imply:
% 23.80/4.10 | | (251) all_118_1 = all_118_2
% 23.80/4.10 | |
% 23.80/4.10 | | SIMP: (251) implies:
% 23.80/4.10 | | (252) all_118_1 = all_118_2
% 23.80/4.10 | |
% 23.80/4.10 | | COMBINE_EQS: (206), (246) imply:
% 23.80/4.10 | | (253) all_124_1 = all_124_2
% 23.80/4.10 | |
% 23.80/4.10 | | COMBINE_EQS: (232), (246) imply:
% 23.80/4.10 | | (254) all_124_1 = all_90_1
% 23.80/4.10 | |
% 23.80/4.10 | | COMBINE_EQS: (223), (224) imply:
% 23.80/4.10 | | (255) all_128_2 = all_116_1
% 23.80/4.10 | |
% 23.80/4.10 | | COMBINE_EQS: (224), (228) imply:
% 23.80/4.10 | | (256) all_128_2 = all_98_1
% 23.80/4.10 | |
% 23.80/4.10 | | COMBINE_EQS: (255), (256) imply:
% 23.80/4.10 | | (257) all_116_1 = all_98_1
% 23.80/4.10 | |
% 23.80/4.10 | | SIMP: (257) implies:
% 23.80/4.10 | | (258) all_116_1 = all_98_1
% 23.80/4.10 | |
% 23.80/4.10 | | COMBINE_EQS: (199), (248) imply:
% 23.80/4.10 | | (259) all_126_2 = all_92_1
% 23.80/4.10 | |
% 23.80/4.10 | | SIMP: (259) implies:
% 23.80/4.10 | | (260) all_126_2 = all_92_1
% 23.80/4.10 | |
% 23.80/4.10 | | COMBINE_EQS: (253), (254) imply:
% 23.80/4.10 | | (261) all_124_2 = all_90_1
% 23.80/4.10 | |
% 23.80/4.10 | | SIMP: (261) implies:
% 23.80/4.10 | | (262) all_124_2 = all_90_1
% 23.80/4.10 | |
% 23.80/4.10 | | COMBINE_EQS: (197), (198) imply:
% 23.80/4.10 | | (263) all_122_2 = all_116_0
% 23.80/4.10 | |
% 23.80/4.10 | | SIMP: (263) implies:
% 23.80/4.10 | | (264) all_122_2 = all_116_0
% 23.80/4.10 | |
% 23.80/4.10 | | COMBINE_EQS: (178), (252) imply:
% 23.80/4.10 | | (265) all_118_2 = all_96_1
% 23.80/4.10 | |
% 23.80/4.10 | | COMBINE_EQS: (177), (252) imply:
% 23.80/4.10 | | (266) all_118_2 = 0
% 23.80/4.10 | |
% 23.80/4.10 | | COMBINE_EQS: (265), (266) imply:
% 23.80/4.10 | | (267) all_96_1 = 0
% 23.80/4.10 | |
% 23.80/4.10 | | COMBINE_EQS: (183), (258) imply:
% 23.80/4.10 | | (268) all_116_2 = all_98_1
% 23.80/4.10 | |
% 23.80/4.10 | | SIMP: (268) implies:
% 23.80/4.10 | | (269) all_116_2 = all_98_1
% 23.80/4.10 | |
% 23.80/4.10 | | COMBINE_EQS: (182), (269) imply:
% 23.80/4.10 | | (270) all_98_1 = 0
% 23.80/4.10 | |
% 23.80/4.10 | | COMBINE_EQS: (192), (193) imply:
% 23.80/4.10 | | (271) all_106_2 = 0
% 23.80/4.10 | |
% 23.80/4.10 | | COMBINE_EQS: (193), (250) imply:
% 23.80/4.10 | | (272) all_106_2 = all_94_1
% 23.80/4.10 | |
% 23.80/4.10 | | COMBINE_EQS: (271), (272) imply:
% 23.80/4.10 | | (273) all_94_1 = 0
% 23.80/4.10 | |
% 23.80/4.10 | | COMBINE_EQS: (258), (270) imply:
% 23.80/4.10 | | (274) all_116_1 = 0
% 23.80/4.10 | |
% 23.80/4.10 | | COMBINE_EQS: (256), (270) imply:
% 23.80/4.10 | | (275) all_128_2 = 0
% 23.80/4.10 | |
% 23.80/4.10 | | COMBINE_EQS: (224), (275) imply:
% 23.80/4.10 | | (276) all_128_1 = 0
% 23.80/4.10 | |
% 23.80/4.10 | | COMBINE_EQS: (218), (266) imply:
% 23.80/4.10 | | (277) all_130_2 = 0
% 23.80/4.10 | |
% 23.80/4.10 | | COMBINE_EQS: (214), (273) imply:
% 23.80/4.10 | | (278) all_130_1 = 0
% 23.80/4.10 | |
% 23.80/4.10 | | BETA: splitting (129) gives:
% 23.80/4.10 | |
% 23.80/4.10 | | Case 1:
% 23.80/4.10 | | |
% 23.80/4.10 | | | (279) ~ (all_116_1 = 0)
% 23.80/4.10 | | |
% 23.80/4.10 | | | REDUCE: (274), (279) imply:
% 23.80/4.10 | | | (280) $false
% 23.80/4.10 | | |
% 23.80/4.10 | | | CLOSE: (280) is inconsistent.
% 23.80/4.10 | | |
% 23.80/4.10 | | Case 2:
% 23.80/4.10 | | |
% 23.80/4.10 | | | (281) ~ (all_116_2 = 0) | all_116_0 = 0
% 23.80/4.10 | | |
% 23.80/4.10 | | | BETA: splitting (147) gives:
% 23.80/4.10 | | |
% 23.80/4.10 | | | Case 1:
% 23.80/4.10 | | | |
% 23.80/4.10 | | | | (282) ~ (all_128_1 = 0)
% 23.80/4.10 | | | |
% 23.80/4.10 | | | | REDUCE: (276), (282) imply:
% 23.80/4.10 | | | | (283) $false
% 23.80/4.10 | | | |
% 23.80/4.10 | | | | CLOSE: (283) is inconsistent.
% 23.80/4.10 | | | |
% 23.80/4.10 | | | Case 2:
% 23.80/4.10 | | | |
% 23.80/4.10 | | | | (284) ~ (all_128_2 = 0) | all_128_0 = 0
% 23.80/4.10 | | | |
% 23.80/4.10 | | | | BETA: splitting (284) gives:
% 23.80/4.10 | | | |
% 23.80/4.10 | | | | Case 1:
% 23.80/4.10 | | | | |
% 23.80/4.10 | | | | | (285) ~ (all_128_2 = 0)
% 23.80/4.10 | | | | |
% 23.80/4.10 | | | | | REDUCE: (275), (285) imply:
% 23.80/4.10 | | | | | (286) $false
% 23.80/4.10 | | | | |
% 23.80/4.10 | | | | | CLOSE: (286) is inconsistent.
% 23.80/4.10 | | | | |
% 23.80/4.10 | | | | Case 2:
% 23.80/4.10 | | | | |
% 23.80/4.10 | | | | | (287) all_128_0 = 0
% 23.80/4.10 | | | | |
% 23.80/4.10 | | | | | COMBINE_EQS: (232), (287) imply:
% 23.80/4.10 | | | | | (288) all_90_1 = 0
% 23.80/4.10 | | | | |
% 23.80/4.10 | | | | | SIMP: (288) implies:
% 23.80/4.10 | | | | | (289) all_90_1 = 0
% 23.80/4.10 | | | | |
% 23.80/4.11 | | | | | REDUCE: (113), (289) imply:
% 23.80/4.11 | | | | | (290) aScalar0(all_43_0) = 0
% 23.80/4.11 | | | | |
% 23.80/4.11 | | | | | BETA: splitting (111) gives:
% 23.80/4.11 | | | | |
% 23.80/4.11 | | | | | Case 1:
% 23.80/4.11 | | | | | |
% 23.80/4.11 | | | | | | (291) all_53_0 = 0
% 23.80/4.11 | | | | | |
% 23.80/4.11 | | | | | | REDUCE: (45), (291) imply:
% 23.80/4.11 | | | | | | (292) $false
% 23.80/4.11 | | | | | |
% 23.80/4.11 | | | | | | CLOSE: (292) is inconsistent.
% 23.80/4.11 | | | | | |
% 23.80/4.11 | | | | | Case 2:
% 23.80/4.11 | | | | | |
% 23.80/4.11 | | | | | | (293) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 23.80/4.11 | | | | | | ? [v4: any] : ? [v5: any] : ? [v6: any] :
% 23.80/4.11 | | | | | | (sdtlseqdt0(all_43_1, all_43_0) = v6 & sdtlseqdt0(all_43_1,
% 23.80/4.11 | | | | | | all_43_0) = v4 & sdtlseqdt0(sz0z00, all_43_1) = v5 &
% 23.80/4.11 | | | | | | aScalar0(all_43_0) = v3 & aScalar0(all_43_0) = v1 &
% 23.80/4.11 | | | | | | aScalar0(all_43_1) = v2 & aScalar0(all_43_1) = v0 & ( ~
% 23.80/4.11 | | | | | | (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~
% 23.80/4.11 | | | | | | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 23.80/4.11 | | | | | |
% 23.80/4.11 | | | | | | DELTA: instantiating (293) with fresh symbols all_282_0, all_282_1,
% 23.80/4.11 | | | | | | all_282_2, all_282_3, all_282_4, all_282_5, all_282_6 gives:
% 23.80/4.11 | | | | | | (294) sdtlseqdt0(all_43_1, all_43_0) = all_282_0 &
% 23.80/4.11 | | | | | | sdtlseqdt0(all_43_1, all_43_0) = all_282_2 &
% 23.80/4.11 | | | | | | sdtlseqdt0(sz0z00, all_43_1) = all_282_1 &
% 23.80/4.11 | | | | | | aScalar0(all_43_0) = all_282_3 & aScalar0(all_43_0) =
% 23.80/4.11 | | | | | | all_282_5 & aScalar0(all_43_1) = all_282_4 &
% 23.80/4.11 | | | | | | aScalar0(all_43_1) = all_282_6 & ( ~ (all_282_0 = 0) | ~
% 23.80/4.11 | | | | | | (all_282_1 = 0) | ~ (all_282_2 = 0) | ~ (all_282_3 = 0)
% 23.80/4.11 | | | | | | | ~ (all_282_4 = 0) | ~ (all_282_5 = 0) | ~ (all_282_6
% 23.80/4.11 | | | | | | = 0))
% 23.80/4.11 | | | | | |
% 23.80/4.11 | | | | | | ALPHA: (294) implies:
% 23.80/4.11 | | | | | | (295) aScalar0(all_43_1) = all_282_6
% 23.80/4.11 | | | | | | (296) aScalar0(all_43_1) = all_282_4
% 23.80/4.11 | | | | | | (297) aScalar0(all_43_0) = all_282_5
% 23.80/4.11 | | | | | | (298) aScalar0(all_43_0) = all_282_3
% 23.80/4.11 | | | | | | (299) sdtlseqdt0(sz0z00, all_43_1) = all_282_1
% 23.80/4.11 | | | | | | (300) sdtlseqdt0(all_43_1, all_43_0) = all_282_2
% 23.80/4.11 | | | | | | (301) sdtlseqdt0(all_43_1, all_43_0) = all_282_0
% 23.80/4.11 | | | | | | (302) ~ (all_282_0 = 0) | ~ (all_282_1 = 0) | ~ (all_282_2 =
% 23.80/4.11 | | | | | | 0) | ~ (all_282_3 = 0) | ~ (all_282_4 = 0) | ~
% 23.80/4.11 | | | | | | (all_282_5 = 0) | ~ (all_282_6 = 0)
% 23.80/4.11 | | | | | |
% 23.80/4.11 | | | | | | BETA: splitting (152) gives:
% 23.80/4.11 | | | | | |
% 23.80/4.11 | | | | | | Case 1:
% 23.80/4.11 | | | | | | |
% 23.80/4.11 | | | | | | | (303) ~ (all_130_1 = 0)
% 23.80/4.11 | | | | | | |
% 23.80/4.11 | | | | | | | REDUCE: (278), (303) imply:
% 23.80/4.11 | | | | | | | (304) $false
% 23.80/4.11 | | | | | | |
% 23.80/4.11 | | | | | | | CLOSE: (304) is inconsistent.
% 23.80/4.11 | | | | | | |
% 23.80/4.11 | | | | | | Case 2:
% 23.80/4.11 | | | | | | |
% 23.80/4.11 | | | | | | | (305) ~ (all_130_2 = 0) | all_130_0 = 0
% 23.80/4.11 | | | | | | |
% 23.80/4.11 | | | | | | | BETA: splitting (305) gives:
% 23.80/4.11 | | | | | | |
% 23.80/4.11 | | | | | | | Case 1:
% 23.80/4.11 | | | | | | | |
% 23.80/4.11 | | | | | | | | (306) ~ (all_130_2 = 0)
% 23.80/4.11 | | | | | | | |
% 23.80/4.11 | | | | | | | | REDUCE: (277), (306) imply:
% 23.80/4.11 | | | | | | | | (307) $false
% 23.80/4.11 | | | | | | | |
% 23.80/4.11 | | | | | | | | CLOSE: (307) is inconsistent.
% 23.80/4.11 | | | | | | | |
% 23.80/4.11 | | | | | | | Case 2:
% 23.80/4.11 | | | | | | | |
% 23.80/4.11 | | | | | | | | (308) all_130_0 = 0
% 23.80/4.11 | | | | | | | |
% 23.80/4.11 | | | | | | | | COMBINE_EQS: (244), (308) imply:
% 23.80/4.11 | | | | | | | | (309) all_92_1 = 0
% 23.80/4.11 | | | | | | | |
% 23.80/4.11 | | | | | | | | SIMP: (309) implies:
% 23.80/4.11 | | | | | | | | (310) all_92_1 = 0
% 23.80/4.11 | | | | | | | |
% 23.80/4.11 | | | | | | | | REDUCE: (115), (310) imply:
% 23.80/4.11 | | | | | | | | (311) aScalar0(all_43_1) = 0
% 23.80/4.11 | | | | | | | |
% 23.80/4.11 | | | | | | | | BETA: splitting (281) gives:
% 23.80/4.11 | | | | | | | |
% 23.80/4.11 | | | | | | | | Case 1:
% 23.80/4.11 | | | | | | | | |
% 23.80/4.11 | | | | | | | | | (312) ~ (all_116_2 = 0)
% 23.80/4.11 | | | | | | | | |
% 23.80/4.11 | | | | | | | | | REDUCE: (182), (312) imply:
% 23.80/4.11 | | | | | | | | | (313) $false
% 23.80/4.11 | | | | | | | | |
% 23.80/4.11 | | | | | | | | | CLOSE: (313) is inconsistent.
% 23.80/4.11 | | | | | | | | |
% 23.80/4.11 | | | | | | | | Case 2:
% 23.80/4.11 | | | | | | | | |
% 23.80/4.11 | | | | | | | | | (314) all_116_0 = 0
% 23.80/4.11 | | | | | | | | |
% 23.80/4.11 | | | | | | | | | COMBINE_EQS: (264), (314) imply:
% 23.80/4.11 | | | | | | | | | (315) all_122_2 = 0
% 23.80/4.11 | | | | | | | | |
% 23.80/4.11 | | | | | | | | | COMBINE_EQS: (198), (314) imply:
% 23.80/4.11 | | | | | | | | | (316) all_122_1 = 0
% 23.80/4.11 | | | | | | | | |
% 23.80/4.11 | | | | | | | | | BETA: splitting (136) gives:
% 23.80/4.11 | | | | | | | | |
% 23.80/4.11 | | | | | | | | | Case 1:
% 23.80/4.11 | | | | | | | | | |
% 23.80/4.11 | | | | | | | | | | (317) ~ (all_122_1 = 0)
% 23.80/4.11 | | | | | | | | | |
% 23.80/4.11 | | | | | | | | | | REDUCE: (316), (317) imply:
% 23.80/4.11 | | | | | | | | | | (318) $false
% 23.80/4.11 | | | | | | | | | |
% 23.80/4.11 | | | | | | | | | | CLOSE: (318) is inconsistent.
% 23.80/4.11 | | | | | | | | | |
% 23.80/4.11 | | | | | | | | | Case 2:
% 23.80/4.11 | | | | | | | | | |
% 23.80/4.11 | | | | | | | | | | (319) ~ (all_122_2 = 0) | all_122_0 = 0
% 23.80/4.11 | | | | | | | | | |
% 23.80/4.11 | | | | | | | | | | BETA: splitting (319) gives:
% 23.80/4.11 | | | | | | | | | |
% 23.80/4.11 | | | | | | | | | | Case 1:
% 23.80/4.11 | | | | | | | | | | |
% 23.80/4.11 | | | | | | | | | | | (320) ~ (all_122_2 = 0)
% 23.80/4.11 | | | | | | | | | | |
% 23.80/4.11 | | | | | | | | | | | REDUCE: (315), (320) imply:
% 23.80/4.11 | | | | | | | | | | | (321) $false
% 23.80/4.11 | | | | | | | | | | |
% 23.80/4.11 | | | | | | | | | | | CLOSE: (321) is inconsistent.
% 23.80/4.11 | | | | | | | | | | |
% 23.80/4.11 | | | | | | | | | | Case 2:
% 23.80/4.11 | | | | | | | | | | |
% 23.80/4.11 | | | | | | | | | | |
% 23.80/4.11 | | | | | | | | | | | GROUND_INST: instantiating (17) with all_282_6, all_282_4,
% 23.80/4.11 | | | | | | | | | | | all_43_1, simplifying with (295), (296) gives:
% 23.80/4.11 | | | | | | | | | | | (322) all_282_4 = all_282_6
% 23.80/4.11 | | | | | | | | | | |
% 23.80/4.11 | | | | | | | | | | | GROUND_INST: instantiating (17) with 0, all_282_4, all_43_1,
% 23.80/4.11 | | | | | | | | | | | simplifying with (296), (311) gives:
% 23.80/4.11 | | | | | | | | | | | (323) all_282_4 = 0
% 23.80/4.11 | | | | | | | | | | |
% 24.28/4.11 | | | | | | | | | | | GROUND_INST: instantiating (17) with all_282_5, all_282_3,
% 24.28/4.11 | | | | | | | | | | | all_43_0, simplifying with (297), (298) gives:
% 24.28/4.11 | | | | | | | | | | | (324) all_282_3 = all_282_5
% 24.28/4.11 | | | | | | | | | | |
% 24.28/4.11 | | | | | | | | | | | GROUND_INST: instantiating (17) with 0, all_282_3, all_43_0,
% 24.28/4.11 | | | | | | | | | | | simplifying with (290), (298) gives:
% 24.28/4.11 | | | | | | | | | | | (325) all_282_3 = 0
% 24.28/4.11 | | | | | | | | | | |
% 24.28/4.11 | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_282_1, all_43_1,
% 24.28/4.11 | | | | | | | | | | | sz0z00, simplifying with (80), (299) gives:
% 24.28/4.11 | | | | | | | | | | | (326) all_282_1 = 0
% 24.28/4.11 | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_282_0, all_43_0,
% 24.28/4.12 | | | | | | | | | | | all_43_1, simplifying with (26), (301) gives:
% 24.28/4.12 | | | | | | | | | | | (327) all_282_0 = 0
% 24.28/4.12 | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | GROUND_INST: instantiating (20) with all_282_2, all_282_0,
% 24.28/4.12 | | | | | | | | | | | all_43_0, all_43_1, simplifying with (300), (301)
% 24.28/4.12 | | | | | | | | | | | gives:
% 24.28/4.12 | | | | | | | | | | | (328) all_282_0 = all_282_2
% 24.28/4.12 | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | COMBINE_EQS: (327), (328) imply:
% 24.28/4.12 | | | | | | | | | | | (329) all_282_2 = 0
% 24.28/4.12 | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | COMBINE_EQS: (324), (325) imply:
% 24.28/4.12 | | | | | | | | | | | (330) all_282_5 = 0
% 24.28/4.12 | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | SIMP: (330) implies:
% 24.28/4.12 | | | | | | | | | | | (331) all_282_5 = 0
% 24.28/4.12 | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | COMBINE_EQS: (322), (323) imply:
% 24.28/4.12 | | | | | | | | | | | (332) all_282_6 = 0
% 24.28/4.12 | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | BETA: splitting (302) gives:
% 24.28/4.12 | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | Case 1:
% 24.28/4.12 | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | (333) ~ (all_282_0 = 0)
% 24.28/4.12 | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | REDUCE: (327), (333) imply:
% 24.28/4.12 | | | | | | | | | | | | (334) $false
% 24.28/4.12 | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | CLOSE: (334) is inconsistent.
% 24.28/4.12 | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | Case 2:
% 24.28/4.12 | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | (335) ~ (all_282_1 = 0) | ~ (all_282_2 = 0) | ~
% 24.28/4.12 | | | | | | | | | | | | (all_282_3 = 0) | ~ (all_282_4 = 0) | ~
% 24.28/4.12 | | | | | | | | | | | | (all_282_5 = 0) | ~ (all_282_6 = 0)
% 24.28/4.12 | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | BETA: splitting (335) gives:
% 24.28/4.12 | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | Case 1:
% 24.28/4.12 | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | (336) ~ (all_282_1 = 0)
% 24.28/4.12 | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | REDUCE: (326), (336) imply:
% 24.28/4.12 | | | | | | | | | | | | | (337) $false
% 24.28/4.12 | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | CLOSE: (337) is inconsistent.
% 24.28/4.12 | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | Case 2:
% 24.28/4.12 | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | (338) ~ (all_282_2 = 0) | ~ (all_282_3 = 0) | ~
% 24.28/4.12 | | | | | | | | | | | | | (all_282_4 = 0) | ~ (all_282_5 = 0) | ~
% 24.28/4.12 | | | | | | | | | | | | | (all_282_6 = 0)
% 24.28/4.12 | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | BETA: splitting (338) gives:
% 24.28/4.12 | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | Case 1:
% 24.28/4.12 | | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | | (339) ~ (all_282_2 = 0)
% 24.28/4.12 | | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | | REDUCE: (329), (339) imply:
% 24.28/4.12 | | | | | | | | | | | | | | (340) $false
% 24.28/4.12 | | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | | CLOSE: (340) is inconsistent.
% 24.28/4.12 | | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | Case 2:
% 24.28/4.12 | | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | | (341) ~ (all_282_3 = 0) | ~ (all_282_4 = 0) | ~
% 24.28/4.12 | | | | | | | | | | | | | | (all_282_5 = 0) | ~ (all_282_6 = 0)
% 24.28/4.12 | | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | | BETA: splitting (341) gives:
% 24.28/4.12 | | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | | Case 1:
% 24.28/4.12 | | | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | | | (342) ~ (all_282_3 = 0)
% 24.28/4.12 | | | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | | | REDUCE: (325), (342) imply:
% 24.28/4.12 | | | | | | | | | | | | | | | (343) $false
% 24.28/4.12 | | | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | | | CLOSE: (343) is inconsistent.
% 24.28/4.12 | | | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | | Case 2:
% 24.28/4.12 | | | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | | | (344) ~ (all_282_4 = 0) | ~ (all_282_5 = 0) | ~
% 24.28/4.12 | | | | | | | | | | | | | | | (all_282_6 = 0)
% 24.28/4.12 | | | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | | | BETA: splitting (344) gives:
% 24.28/4.12 | | | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | | | Case 1:
% 24.28/4.12 | | | | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | | | | (345) ~ (all_282_4 = 0)
% 24.28/4.12 | | | | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | | | | REDUCE: (323), (345) imply:
% 24.28/4.12 | | | | | | | | | | | | | | | | (346) $false
% 24.28/4.12 | | | | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | | | | CLOSE: (346) is inconsistent.
% 24.28/4.12 | | | | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | | | Case 2:
% 24.28/4.12 | | | | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | | | | (347) ~ (all_282_5 = 0) | ~ (all_282_6 = 0)
% 24.28/4.12 | | | | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | | | | BETA: splitting (347) gives:
% 24.28/4.12 | | | | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | | | | Case 1:
% 24.28/4.12 | | | | | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | | | | | (348) ~ (all_282_5 = 0)
% 24.28/4.12 | | | | | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | | | | | REDUCE: (331), (348) imply:
% 24.28/4.12 | | | | | | | | | | | | | | | | | (349) $false
% 24.28/4.12 | | | | | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | | | | | CLOSE: (349) is inconsistent.
% 24.28/4.12 | | | | | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | | | | Case 2:
% 24.28/4.12 | | | | | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | | | | | (350) ~ (all_282_6 = 0)
% 24.28/4.12 | | | | | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | | | | | REDUCE: (332), (350) imply:
% 24.28/4.12 | | | | | | | | | | | | | | | | | (351) $false
% 24.28/4.12 | | | | | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | | | | | CLOSE: (351) is inconsistent.
% 24.28/4.12 | | | | | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | | | | End of split
% 24.28/4.12 | | | | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | | | End of split
% 24.28/4.12 | | | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | | End of split
% 24.28/4.12 | | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | | End of split
% 24.28/4.12 | | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | | End of split
% 24.28/4.12 | | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | | End of split
% 24.28/4.12 | | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | | End of split
% 24.28/4.12 | | | | | | | | | |
% 24.28/4.12 | | | | | | | | | End of split
% 24.28/4.12 | | | | | | | | |
% 24.28/4.12 | | | | | | | | End of split
% 24.28/4.12 | | | | | | | |
% 24.28/4.12 | | | | | | | End of split
% 24.28/4.12 | | | | | | |
% 24.28/4.12 | | | | | | End of split
% 24.28/4.12 | | | | | |
% 24.28/4.12 | | | | | End of split
% 24.28/4.12 | | | | |
% 24.28/4.12 | | | | End of split
% 24.28/4.12 | | | |
% 24.28/4.12 | | | End of split
% 24.28/4.12 | | |
% 24.28/4.12 | | End of split
% 24.28/4.12 | |
% 24.42/4.12 | End of split
% 24.42/4.12 |
% 24.42/4.12 End of proof
% 24.42/4.12 % SZS output end Proof for theBenchmark
% 24.42/4.12
% 24.42/4.12 3538ms
%------------------------------------------------------------------------------