TSTP Solution File: RNG072+2 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : RNG072+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n011.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 13.03s 2.52s
% Output : Proof 22.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG072+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Aug 27 01:49:54 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.20/0.60 ________ _____
% 0.20/0.60 ___ __ \_________(_)________________________________
% 0.20/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.60
% 0.20/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.60 (2023-06-19)
% 0.20/0.60
% 0.20/0.60 (c) Philipp Rümmer, 2009-2023
% 0.20/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.60 Amanda Stjerna.
% 0.20/0.60 Free software under BSD-3-Clause.
% 0.20/0.60
% 0.20/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.60
% 0.20/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.61 Running up to 7 provers in parallel.
% 0.20/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.57/1.21 Prover 4: Preprocessing ...
% 3.57/1.21 Prover 1: Preprocessing ...
% 3.57/1.25 Prover 3: Preprocessing ...
% 3.57/1.25 Prover 5: Preprocessing ...
% 3.57/1.25 Prover 6: Preprocessing ...
% 3.57/1.25 Prover 0: Preprocessing ...
% 4.06/1.25 Prover 2: Preprocessing ...
% 9.11/2.02 Prover 1: Constructing countermodel ...
% 9.79/2.04 Prover 3: Constructing countermodel ...
% 9.79/2.05 Prover 6: Proving ...
% 11.66/2.31 Prover 5: Constructing countermodel ...
% 12.19/2.37 Prover 4: Constructing countermodel ...
% 13.03/2.47 Prover 2: Proving ...
% 13.03/2.47 Prover 0: Proving ...
% 13.03/2.51 Prover 3: proved (1882ms)
% 13.03/2.51
% 13.03/2.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.03/2.52
% 13.03/2.52 Prover 5: stopped
% 13.03/2.52 Prover 0: stopped
% 13.03/2.52 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 13.03/2.52 Prover 6: stopped
% 13.03/2.53 Prover 2: stopped
% 13.03/2.53 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 13.03/2.53 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 13.03/2.54 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 13.03/2.54 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 13.03/2.60 Prover 7: Preprocessing ...
% 14.58/2.67 Prover 10: Preprocessing ...
% 14.58/2.70 Prover 8: Preprocessing ...
% 14.58/2.70 Prover 13: Preprocessing ...
% 15.01/2.72 Prover 11: Preprocessing ...
% 16.12/2.92 Prover 10: Constructing countermodel ...
% 16.88/2.99 Prover 13: Constructing countermodel ...
% 16.88/2.99 Prover 7: Constructing countermodel ...
% 17.26/3.04 Prover 8: Warning: ignoring some quantifiers
% 17.47/3.05 Prover 8: Constructing countermodel ...
% 18.06/3.17 Prover 11: Constructing countermodel ...
% 22.14/3.67 Prover 1: Found proof (size 297)
% 22.14/3.67 Prover 1: proved (3049ms)
% 22.14/3.67 Prover 13: stopped
% 22.14/3.67 Prover 11: stopped
% 22.14/3.67 Prover 7: stopped
% 22.14/3.67 Prover 4: stopped
% 22.14/3.67 Prover 8: stopped
% 22.14/3.67 Prover 10: stopped
% 22.14/3.67
% 22.14/3.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.14/3.67
% 22.44/3.74 % SZS output start Proof for theBenchmark
% 22.44/3.75 Assumptions after simplification:
% 22.44/3.75 ---------------------------------
% 22.44/3.75
% 22.44/3.75 (mDistr)
% 22.59/3.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 22.59/3.77 $i] : ( ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~
% 22.59/3.77 (sdtpldt0(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] :
% 22.59/3.77 ? [v7: any] : ? [v8: any] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ?
% 22.59/3.77 [v12: $i] : ? [v13: $i] : ? [v14: $i] : (sdtasdt0(v11, v2) = v12 &
% 22.59/3.77 sdtasdt0(v1, v2) = v13 & sdtasdt0(v0, v9) = v10 & sdtpldt0(v4, v13) = v14
% 22.59/3.77 & sdtpldt0(v1, v2) = v9 & sdtpldt0(v0, v1) = v11 & aScalar0(v2) = v8 &
% 22.59/3.77 aScalar0(v1) = v7 & aScalar0(v0) = v6 & $i(v14) & $i(v13) & $i(v12) &
% 22.59/3.77 $i(v11) & $i(v10) & $i(v9) & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) |
% 22.59/3.77 (v14 = v12 & v10 = v5))))
% 22.59/3.77
% 22.59/3.77 (mLEMon)
% 22.59/3.78 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 22.59/3.78 $i] : ! [v6: int] : (v6 = 0 | ~ (sdtlseqdt0(v4, v5) = v6) | ~
% 22.59/3.78 (sdtpldt0(v1, v3) = v5) | ~ (sdtpldt0(v0, v2) = v4) | ~ $i(v3) | ~ $i(v2)
% 22.59/3.78 | ~ $i(v1) | ~ $i(v0) | ? [v7: any] : ? [v8: any] : ? [v9: any] : ?
% 22.59/3.78 [v10: any] : ? [v11: any] : ? [v12: any] : (sdtlseqdt0(v2, v3) = v12 &
% 22.59/3.78 sdtlseqdt0(v0, v1) = v11 & aScalar0(v3) = v10 & aScalar0(v2) = v9 &
% 22.59/3.78 aScalar0(v1) = v8 & aScalar0(v0) = v7 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~
% 22.59/3.78 (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0))))
% 22.59/3.78
% 22.59/3.78 (mLEMonM)
% 22.59/3.78 $i(sz0z00) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4:
% 22.59/3.78 $i] : ! [v5: $i] : ! [v6: int] : (v6 = 0 | ~ (sdtlseqdt0(v4, v5) = v6) |
% 22.59/3.78 ~ (sdtasdt0(v1, v3) = v5) | ~ (sdtasdt0(v0, v2) = v4) | ~ $i(v3) | ~
% 22.59/3.78 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v7: any] : ? [v8: any] : ? [v9: any]
% 22.59/3.78 : ? [v10: any] : ? [v11: any] : ? [v12: any] : ? [v13: any] :
% 22.59/3.78 (sdtlseqdt0(v2, v3) = v13 & sdtlseqdt0(v0, v1) = v11 & sdtlseqdt0(sz0z00,
% 22.59/3.78 v2) = v12 & aScalar0(v3) = v10 & aScalar0(v2) = v9 & aScalar0(v1) = v8 &
% 22.59/3.78 aScalar0(v0) = v7 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10
% 22.59/3.78 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0))))
% 22.59/3.78
% 22.59/3.78 (mMulSc)
% 22.59/3.78 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) | ~
% 22.59/3.78 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 22.59/3.78 (aScalar0(v2) = v5 & aScalar0(v1) = v4 & aScalar0(v0) = v3 & ( ~ (v4 = 0) |
% 22.59/3.78 ~ (v3 = 0) | v5 = 0)))
% 22.59/3.78
% 22.59/3.78 (mPosMon)
% 22.59/3.78 $i(sz0z00) & ! [v0: $i] : ! [v1: $i] : ( ~ (sdtlseqdt0(sz0z00, v1) = 0) | ~
% 22.59/3.78 (sdtlseqdt0(sz0z00, v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ?
% 22.59/3.78 [v3: any] : ? [v4: $i] : ? [v5: any] : ? [v6: $i] : ? [v7: any] :
% 22.59/3.78 (sdtlseqdt0(sz0z00, v6) = v7 & sdtlseqdt0(sz0z00, v4) = v5 & sdtasdt0(v0,
% 22.59/3.78 v1) = v6 & sdtpldt0(v0, v1) = v4 & aScalar0(v1) = v3 & aScalar0(v0) = v2
% 22.59/3.78 & $i(v6) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | (v7 = 0 & v5 = 0))))
% 22.59/3.78
% 22.59/3.78 (mSqPos)
% 22.59/3.78 $i(sz0z00) & ! [v0: $i] : ! [v1: $i] : ( ~ (sdtasdt0(v0, v0) = v1) | ~
% 22.59/3.78 $i(v0) | ? [v2: any] : ? [v3: any] : (sdtlseqdt0(sz0z00, v1) = v3 &
% 22.59/3.78 aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 22.59/3.78
% 22.59/3.78 (mSumSc)
% 22.59/3.78 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtpldt0(v0, v1) = v2) | ~
% 22.59/3.78 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 22.59/3.78 (aScalar0(v2) = v5 & aScalar0(v1) = v4 & aScalar0(v0) = v3 & ( ~ (v4 = 0) |
% 22.59/3.78 ~ (v3 = 0) | v5 = 0)))
% 22.59/3.78
% 22.59/3.78 (m__)
% 22.59/3.78 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 22.59/3.78 $i] : ? [v4: int] : ( ~ (v4 = 0) & sdtlseqdt0(v1, v3) = v4 & sdtasdt0(v2,
% 22.59/3.78 v2) = v3 & sdtasdt0(v0, v0) = v1 & sdtpldt0(xP, xP) = v2 & sdtpldt0(xR,
% 22.59/3.79 xS) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 22.59/3.79
% 22.59/3.79 (m__1892)
% 22.59/3.79 sdtasdt0(xC, xG) = xR & aScalar0(xR) = 0 & $i(xR) & $i(xG) & $i(xC)
% 22.59/3.79
% 22.59/3.79 (m__1911)
% 22.59/3.79 sdtasdt0(xE, xH) = xP & aScalar0(xP) = 0 & $i(xP) & $i(xH) & $i(xE)
% 22.59/3.79
% 22.59/3.79 (m__1930)
% 22.59/3.79 sdtasdt0(xF, xD) = xS & aScalar0(xS) = 0 & $i(xS) & $i(xF) & $i(xD)
% 22.59/3.79
% 22.59/3.79 (m__2004)
% 22.59/3.79 $i(xN) & $i(xP) & ? [v0: $i] : (sdtlseqdt0(v0, xN) = 0 & sdtasdt0(xP, xP) =
% 22.59/3.79 v0 & $i(v0))
% 22.59/3.79
% 22.59/3.79 (m__2104)
% 22.59/3.79 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 22.59/3.79 $i] : ? [v4: $i] : (sdtlseqdt0(v1, v4) = 0 & sdtasdt0(xS, xS) = v3 &
% 22.59/3.79 sdtasdt0(xP, xP) = v0 & sdtasdt0(xR, xR) = v2 & sdtpldt0(v2, v3) = v4 &
% 22.59/3.79 sdtpldt0(v0, v0) = v1 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 22.59/3.79
% 22.59/3.79 (m__2405)
% 22.59/3.79 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 22.59/3.79 $i] : (sdtlseqdt0(v1, v3) = 0 & sdtasdt0(v2, v2) = v3 & sdtasdt0(v0, v0) =
% 22.59/3.79 v1 & sdtpldt0(xP, xP) = v0 & sdtpldt0(xR, xS) = v2 & $i(v3) & $i(v2) &
% 22.59/3.79 $i(v1) & $i(v0))
% 22.59/3.79
% 22.59/3.79 (m__2590)
% 22.59/3.79 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2
% 22.59/3.79 = 0) & sdtlseqdt0(v0, v1) = v2 & sdtpldt0(xP, xP) = v0 & sdtpldt0(xR, xS)
% 22.59/3.79 = v1 & $i(v1) & $i(v0))
% 22.59/3.79
% 22.59/3.79 (m__2610)
% 22.59/3.79 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : (sdtlseqdt0(v0, v1) = 0
% 22.59/3.79 & sdtpldt0(xP, xP) = v1 & sdtpldt0(xR, xS) = v0 & $i(v1) & $i(v0))
% 22.59/3.79
% 22.59/3.79 (m__2628)
% 22.59/3.79 $i(xS) & $i(xP) & $i(xR) & $i(sz0z00) & ? [v0: $i] : ? [v1: $i] :
% 22.59/3.79 (sdtlseqdt0(sz0z00, v1) = 0 & sdtlseqdt0(sz0z00, v0) = 0 & sdtpldt0(xP, xP) =
% 22.59/3.79 v1 & sdtpldt0(xR, xS) = v0 & $i(v1) & $i(v0))
% 22.59/3.79
% 22.59/3.79 (function-axioms)
% 22.59/3.79 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 22.59/3.79 (sdtasasdt0(v3, v2) = v1) | ~ (sdtasasdt0(v3, v2) = v0)) & ! [v0: $i] : !
% 22.59/3.79 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtlbdtrb0(v3, v2) = v1)
% 22.59/3.79 | ~ (sdtlbdtrb0(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 22.59/3.79 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 22.59/3.79 (sdtlseqdt0(v3, v2) = v1) | ~ (sdtlseqdt0(v3, v2) = v0)) & ! [v0: $i] : !
% 22.59/3.79 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) |
% 22.59/3.79 ~ (sdtasdt0(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 22.59/3.79 [v3: $i] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0))
% 22.59/3.79 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 22.59/3.79 [v3: $i] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0)) &
% 22.59/3.79 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (sziznziztdt0(v2) = v1)
% 22.59/3.79 | ~ (sziznziztdt0(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 22.59/3.79 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (aVector0(v2) = v1) | ~
% 22.59/3.79 (aVector0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 |
% 22.59/3.79 ~ (aDimensionOf0(v2) = v1) | ~ (aDimensionOf0(v2) = v0)) & ! [v0: $i] : !
% 22.59/3.79 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~ (smndt0(v2) =
% 22.59/3.79 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 22.59/3.79 $i] : (v1 = v0 | ~ (aScalar0(v2) = v1) | ~ (aScalar0(v2) = v0)) & ! [v0:
% 22.59/3.79 $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (szszuzczcdt0(v2) = v1) | ~
% 22.59/3.79 (szszuzczcdt0(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 22.59/3.79 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1)
% 22.59/3.79 | ~ (aNaturalNumber0(v2) = v0))
% 22.59/3.79
% 22.59/3.79 Further assumptions not needed in the proof:
% 22.59/3.79 --------------------------------------------
% 22.59/3.79 mArith, mDefInit, mDefSPN, mDefSPZ, mDimNat, mDistr2, mElmSc, mEqInit, mIH,
% 22.59/3.79 mIHOrd, mLEASm, mLERef, mLETot, mLETrn, mLess, mMDNeg, mMNeg, mNatExtr,
% 22.59/3.79 mNatSort, mNegSc, mSZeroSc, mScPr, mScSort, mScSqPos, mScZero, mSqrt, mSuccEqu,
% 22.59/3.79 mSuccNat, mVcSort, mZeroNat, m__1652, m__1678, m__1678_01, m__1692, m__1709,
% 22.59/3.79 m__1726, m__1746, m__1766, m__1783, m__1800, m__1820, m__1837, m__1854, m__1873,
% 22.59/3.79 m__1949, m__1967
% 22.59/3.79
% 22.59/3.79 Those formulas are unsatisfiable:
% 22.59/3.79 ---------------------------------
% 22.59/3.79
% 22.59/3.79 Begin of proof
% 22.59/3.80 |
% 22.59/3.80 | ALPHA: (mLEMonM) implies:
% 22.59/3.80 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 22.59/3.80 | ! [v5: $i] : ! [v6: int] : (v6 = 0 | ~ (sdtlseqdt0(v4, v5) = v6) | ~
% 22.59/3.80 | (sdtasdt0(v1, v3) = v5) | ~ (sdtasdt0(v0, v2) = v4) | ~ $i(v3) | ~
% 22.59/3.80 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v7: any] : ? [v8: any] : ?
% 22.59/3.80 | [v9: any] : ? [v10: any] : ? [v11: any] : ? [v12: any] : ? [v13:
% 22.59/3.80 | any] : (sdtlseqdt0(v2, v3) = v13 & sdtlseqdt0(v0, v1) = v11 &
% 22.59/3.80 | sdtlseqdt0(sz0z00, v2) = v12 & aScalar0(v3) = v10 & aScalar0(v2) =
% 22.59/3.80 | v9 & aScalar0(v1) = v8 & aScalar0(v0) = v7 & ( ~ (v13 = 0) | ~
% 22.59/3.80 | (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 =
% 22.59/3.80 | 0) | ~ (v7 = 0))))
% 22.59/3.80 |
% 22.59/3.80 | ALPHA: (mPosMon) implies:
% 22.59/3.80 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (sdtlseqdt0(sz0z00, v1) = 0) | ~
% 22.59/3.80 | (sdtlseqdt0(sz0z00, v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] :
% 22.59/3.80 | ? [v3: any] : ? [v4: $i] : ? [v5: any] : ? [v6: $i] : ? [v7:
% 22.59/3.80 | any] : (sdtlseqdt0(sz0z00, v6) = v7 & sdtlseqdt0(sz0z00, v4) = v5 &
% 22.59/3.80 | sdtasdt0(v0, v1) = v6 & sdtpldt0(v0, v1) = v4 & aScalar0(v1) = v3 &
% 22.59/3.80 | aScalar0(v0) = v2 & $i(v6) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) |
% 22.59/3.80 | (v7 = 0 & v5 = 0))))
% 22.59/3.80 |
% 22.59/3.80 | ALPHA: (mSqPos) implies:
% 22.59/3.80 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ (sdtasdt0(v0, v0) = v1) | ~ $i(v0) |
% 22.59/3.80 | ? [v2: any] : ? [v3: any] : (sdtlseqdt0(sz0z00, v1) = v3 &
% 22.59/3.80 | aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 22.59/3.80 |
% 22.59/3.80 | ALPHA: (m__1892) implies:
% 22.59/3.80 | (4) aScalar0(xR) = 0
% 22.59/3.80 |
% 22.59/3.80 | ALPHA: (m__1911) implies:
% 22.59/3.80 | (5) aScalar0(xP) = 0
% 22.59/3.80 |
% 22.59/3.80 | ALPHA: (m__1930) implies:
% 22.59/3.80 | (6) aScalar0(xS) = 0
% 22.59/3.80 |
% 22.59/3.80 | ALPHA: (m__2004) implies:
% 22.59/3.80 | (7) ? [v0: $i] : (sdtlseqdt0(v0, xN) = 0 & sdtasdt0(xP, xP) = v0 & $i(v0))
% 22.59/3.80 |
% 22.59/3.80 | ALPHA: (m__2104) implies:
% 22.59/3.80 | (8) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 22.59/3.80 | (sdtlseqdt0(v1, v4) = 0 & sdtasdt0(xS, xS) = v3 & sdtasdt0(xP, xP) = v0
% 22.59/3.80 | & sdtasdt0(xR, xR) = v2 & sdtpldt0(v2, v3) = v4 & sdtpldt0(v0, v0) =
% 22.59/3.80 | v1 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 22.59/3.80 |
% 22.59/3.80 | ALPHA: (m__2405) implies:
% 22.59/3.80 | (9) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (sdtlseqdt0(v1,
% 22.59/3.80 | v3) = 0 & sdtasdt0(v2, v2) = v3 & sdtasdt0(v0, v0) = v1 &
% 22.59/3.80 | sdtpldt0(xP, xP) = v0 & sdtpldt0(xR, xS) = v2 & $i(v3) & $i(v2) &
% 22.59/3.80 | $i(v1) & $i(v0))
% 22.59/3.80 |
% 22.59/3.80 | ALPHA: (m__2590) implies:
% 22.59/3.80 | (10) ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) &
% 22.59/3.80 | sdtlseqdt0(v0, v1) = v2 & sdtpldt0(xP, xP) = v0 & sdtpldt0(xR, xS) =
% 22.59/3.80 | v1 & $i(v1) & $i(v0))
% 22.59/3.80 |
% 22.59/3.80 | ALPHA: (m__2610) implies:
% 22.59/3.80 | (11) ? [v0: $i] : ? [v1: $i] : (sdtlseqdt0(v0, v1) = 0 & sdtpldt0(xP, xP)
% 22.59/3.80 | = v1 & sdtpldt0(xR, xS) = v0 & $i(v1) & $i(v0))
% 22.59/3.80 |
% 22.59/3.80 | ALPHA: (m__2628) implies:
% 22.59/3.80 | (12) ? [v0: $i] : ? [v1: $i] : (sdtlseqdt0(sz0z00, v1) = 0 &
% 22.59/3.80 | sdtlseqdt0(sz0z00, v0) = 0 & sdtpldt0(xP, xP) = v1 & sdtpldt0(xR,
% 22.59/3.80 | xS) = v0 & $i(v1) & $i(v0))
% 22.59/3.80 |
% 22.59/3.80 | ALPHA: (m__) implies:
% 22.59/3.81 | (13) $i(xR)
% 22.59/3.81 | (14) $i(xP)
% 22.59/3.81 | (15) $i(xS)
% 22.59/3.81 | (16) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: int] :
% 22.59/3.81 | ( ~ (v4 = 0) & sdtlseqdt0(v1, v3) = v4 & sdtasdt0(v2, v2) = v3 &
% 22.59/3.81 | sdtasdt0(v0, v0) = v1 & sdtpldt0(xP, xP) = v2 & sdtpldt0(xR, xS) =
% 22.59/3.81 | v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 22.59/3.81 |
% 22.59/3.81 | ALPHA: (function-axioms) implies:
% 22.59/3.81 | (17) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 22.59/3.81 | : (v1 = v0 | ~ (aScalar0(v2) = v1) | ~ (aScalar0(v2) = v0))
% 22.59/3.81 | (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 22.59/3.81 | (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0))
% 22.59/3.81 | (19) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 22.59/3.81 | (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0))
% 22.59/3.81 | (20) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 22.59/3.81 | : ! [v3: $i] : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~
% 22.59/3.81 | (sdtlseqdt0(v3, v2) = v0))
% 22.59/3.81 |
% 22.59/3.81 | DELTA: instantiating (7) with fresh symbol all_33_0 gives:
% 22.59/3.81 | (21) sdtlseqdt0(all_33_0, xN) = 0 & sdtasdt0(xP, xP) = all_33_0 &
% 22.59/3.81 | $i(all_33_0)
% 22.59/3.81 |
% 22.59/3.81 | ALPHA: (21) implies:
% 22.59/3.81 | (22) sdtasdt0(xP, xP) = all_33_0
% 22.59/3.81 |
% 22.59/3.81 | DELTA: instantiating (11) with fresh symbols all_45_0, all_45_1 gives:
% 22.59/3.81 | (23) sdtlseqdt0(all_45_1, all_45_0) = 0 & sdtpldt0(xP, xP) = all_45_0 &
% 22.59/3.81 | sdtpldt0(xR, xS) = all_45_1 & $i(all_45_0) & $i(all_45_1)
% 22.59/3.81 |
% 22.59/3.81 | ALPHA: (23) implies:
% 22.59/3.81 | (24) sdtpldt0(xR, xS) = all_45_1
% 22.59/3.81 | (25) sdtpldt0(xP, xP) = all_45_0
% 22.59/3.81 | (26) sdtlseqdt0(all_45_1, all_45_0) = 0
% 22.59/3.81 |
% 22.59/3.81 | DELTA: instantiating (10) with fresh symbols all_47_0, all_47_1, all_47_2
% 22.59/3.81 | gives:
% 22.59/3.81 | (27) ~ (all_47_0 = 0) & sdtlseqdt0(all_47_2, all_47_1) = all_47_0 &
% 22.59/3.81 | sdtpldt0(xP, xP) = all_47_2 & sdtpldt0(xR, xS) = all_47_1 &
% 22.59/3.81 | $i(all_47_1) & $i(all_47_2)
% 22.59/3.81 |
% 22.59/3.81 | ALPHA: (27) implies:
% 22.59/3.81 | (28) ~ (all_47_0 = 0)
% 22.59/3.81 | (29) $i(all_47_2)
% 22.59/3.81 | (30) $i(all_47_1)
% 22.59/3.81 | (31) sdtpldt0(xR, xS) = all_47_1
% 22.59/3.81 | (32) sdtpldt0(xP, xP) = all_47_2
% 22.59/3.81 | (33) sdtlseqdt0(all_47_2, all_47_1) = all_47_0
% 22.59/3.81 |
% 22.59/3.81 | DELTA: instantiating (12) with fresh symbols all_49_0, all_49_1 gives:
% 22.59/3.81 | (34) sdtlseqdt0(sz0z00, all_49_0) = 0 & sdtlseqdt0(sz0z00, all_49_1) = 0 &
% 22.59/3.81 | sdtpldt0(xP, xP) = all_49_0 & sdtpldt0(xR, xS) = all_49_1 &
% 22.59/3.81 | $i(all_49_0) & $i(all_49_1)
% 22.59/3.81 |
% 22.59/3.81 | ALPHA: (34) implies:
% 22.59/3.81 | (35) sdtpldt0(xR, xS) = all_49_1
% 22.59/3.81 | (36) sdtpldt0(xP, xP) = all_49_0
% 22.59/3.81 | (37) sdtlseqdt0(sz0z00, all_49_1) = 0
% 22.59/3.81 | (38) sdtlseqdt0(sz0z00, all_49_0) = 0
% 22.59/3.81 |
% 22.59/3.81 | DELTA: instantiating (9) with fresh symbols all_51_0, all_51_1, all_51_2,
% 22.59/3.81 | all_51_3 gives:
% 22.59/3.81 | (39) sdtlseqdt0(all_51_2, all_51_0) = 0 & sdtasdt0(all_51_1, all_51_1) =
% 22.59/3.81 | all_51_0 & sdtasdt0(all_51_3, all_51_3) = all_51_2 & sdtpldt0(xP, xP)
% 22.59/3.81 | = all_51_3 & sdtpldt0(xR, xS) = all_51_1 & $i(all_51_0) & $i(all_51_1)
% 22.59/3.81 | & $i(all_51_2) & $i(all_51_3)
% 22.59/3.81 |
% 22.59/3.81 | ALPHA: (39) implies:
% 22.59/3.81 | (40) sdtpldt0(xR, xS) = all_51_1
% 22.59/3.81 | (41) sdtpldt0(xP, xP) = all_51_3
% 22.59/3.81 | (42) sdtasdt0(all_51_3, all_51_3) = all_51_2
% 22.59/3.81 | (43) sdtasdt0(all_51_1, all_51_1) = all_51_0
% 22.59/3.81 |
% 22.59/3.81 | DELTA: instantiating (16) with fresh symbols all_53_0, all_53_1, all_53_2,
% 22.59/3.81 | all_53_3, all_53_4 gives:
% 22.59/3.82 | (44) ~ (all_53_0 = 0) & sdtlseqdt0(all_53_3, all_53_1) = all_53_0 &
% 22.59/3.82 | sdtasdt0(all_53_2, all_53_2) = all_53_1 & sdtasdt0(all_53_4, all_53_4)
% 22.59/3.82 | = all_53_3 & sdtpldt0(xP, xP) = all_53_2 & sdtpldt0(xR, xS) = all_53_4
% 22.59/3.82 | & $i(all_53_1) & $i(all_53_2) & $i(all_53_3) & $i(all_53_4)
% 22.59/3.82 |
% 22.59/3.82 | ALPHA: (44) implies:
% 22.59/3.82 | (45) ~ (all_53_0 = 0)
% 22.59/3.82 | (46) sdtpldt0(xR, xS) = all_53_4
% 22.59/3.82 | (47) sdtpldt0(xP, xP) = all_53_2
% 22.59/3.82 | (48) sdtasdt0(all_53_4, all_53_4) = all_53_3
% 22.59/3.82 | (49) sdtasdt0(all_53_2, all_53_2) = all_53_1
% 22.59/3.82 | (50) sdtlseqdt0(all_53_3, all_53_1) = all_53_0
% 22.59/3.82 |
% 22.59/3.82 | DELTA: instantiating (8) with fresh symbols all_55_0, all_55_1, all_55_2,
% 22.59/3.82 | all_55_3, all_55_4 gives:
% 22.59/3.82 | (51) sdtlseqdt0(all_55_3, all_55_0) = 0 & sdtasdt0(xS, xS) = all_55_1 &
% 22.59/3.82 | sdtasdt0(xP, xP) = all_55_4 & sdtasdt0(xR, xR) = all_55_2 &
% 22.59/3.82 | sdtpldt0(all_55_2, all_55_1) = all_55_0 & sdtpldt0(all_55_4, all_55_4)
% 22.59/3.82 | = all_55_3 & $i(all_55_0) & $i(all_55_1) & $i(all_55_2) & $i(all_55_3)
% 22.59/3.82 | & $i(all_55_4)
% 22.59/3.82 |
% 22.59/3.82 | ALPHA: (51) implies:
% 22.59/3.82 | (52) sdtpldt0(all_55_4, all_55_4) = all_55_3
% 22.59/3.82 | (53) sdtasdt0(xR, xR) = all_55_2
% 22.59/3.82 | (54) sdtasdt0(xP, xP) = all_55_4
% 22.59/3.82 | (55) sdtasdt0(xS, xS) = all_55_1
% 22.59/3.82 |
% 22.59/3.82 | GROUND_INST: instantiating (18) with all_45_1, all_49_1, xS, xR, simplifying
% 22.59/3.82 | with (24), (35) gives:
% 22.59/3.82 | (56) all_49_1 = all_45_1
% 22.59/3.82 |
% 22.59/3.82 | GROUND_INST: instantiating (18) with all_49_1, all_51_1, xS, xR, simplifying
% 22.59/3.82 | with (35), (40) gives:
% 22.59/3.82 | (57) all_51_1 = all_49_1
% 22.59/3.82 |
% 22.59/3.82 | GROUND_INST: instantiating (18) with all_51_1, all_53_4, xS, xR, simplifying
% 22.59/3.82 | with (40), (46) gives:
% 22.59/3.82 | (58) all_53_4 = all_51_1
% 22.59/3.82 |
% 22.59/3.82 | GROUND_INST: instantiating (18) with all_47_1, all_53_4, xS, xR, simplifying
% 22.59/3.82 | with (31), (46) gives:
% 22.59/3.82 | (59) all_53_4 = all_47_1
% 22.59/3.82 |
% 22.59/3.82 | GROUND_INST: instantiating (18) with all_49_0, all_51_3, xP, xP, simplifying
% 22.59/3.82 | with (36), (41) gives:
% 22.59/3.82 | (60) all_51_3 = all_49_0
% 22.59/3.82 |
% 22.59/3.82 | GROUND_INST: instantiating (18) with all_47_2, all_51_3, xP, xP, simplifying
% 22.59/3.82 | with (32), (41) gives:
% 22.59/3.82 | (61) all_51_3 = all_47_2
% 22.59/3.82 |
% 22.59/3.82 | GROUND_INST: instantiating (18) with all_49_0, all_53_2, xP, xP, simplifying
% 22.59/3.82 | with (36), (47) gives:
% 22.59/3.82 | (62) all_53_2 = all_49_0
% 22.59/3.82 |
% 22.59/3.82 | GROUND_INST: instantiating (18) with all_45_0, all_53_2, xP, xP, simplifying
% 22.59/3.82 | with (25), (47) gives:
% 22.59/3.82 | (63) all_53_2 = all_45_0
% 22.59/3.82 |
% 22.59/3.82 | GROUND_INST: instantiating (19) with all_33_0, all_55_4, xP, xP, simplifying
% 22.59/3.82 | with (22), (54) gives:
% 22.59/3.82 | (64) all_55_4 = all_33_0
% 22.59/3.82 |
% 22.59/3.82 | COMBINE_EQS: (62), (63) imply:
% 22.59/3.82 | (65) all_49_0 = all_45_0
% 22.59/3.82 |
% 22.59/3.82 | SIMP: (65) implies:
% 22.59/3.82 | (66) all_49_0 = all_45_0
% 22.59/3.82 |
% 22.59/3.82 | COMBINE_EQS: (58), (59) imply:
% 22.59/3.82 | (67) all_51_1 = all_47_1
% 22.59/3.82 |
% 22.59/3.82 | SIMP: (67) implies:
% 22.59/3.82 | (68) all_51_1 = all_47_1
% 22.59/3.82 |
% 22.59/3.82 | COMBINE_EQS: (57), (68) imply:
% 22.59/3.82 | (69) all_49_1 = all_47_1
% 22.59/3.82 |
% 22.59/3.82 | SIMP: (69) implies:
% 22.59/3.82 | (70) all_49_1 = all_47_1
% 22.59/3.82 |
% 22.59/3.82 | COMBINE_EQS: (60), (61) imply:
% 22.59/3.82 | (71) all_49_0 = all_47_2
% 22.59/3.82 |
% 22.59/3.82 | SIMP: (71) implies:
% 22.59/3.82 | (72) all_49_0 = all_47_2
% 22.59/3.82 |
% 22.59/3.82 | COMBINE_EQS: (66), (72) imply:
% 22.59/3.82 | (73) all_47_2 = all_45_0
% 22.59/3.82 |
% 22.59/3.82 | SIMP: (73) implies:
% 22.59/3.82 | (74) all_47_2 = all_45_0
% 22.59/3.82 |
% 22.59/3.82 | COMBINE_EQS: (56), (70) imply:
% 22.59/3.82 | (75) all_47_1 = all_45_1
% 22.59/3.82 |
% 22.59/3.82 | COMBINE_EQS: (61), (74) imply:
% 22.59/3.82 | (76) all_51_3 = all_45_0
% 22.59/3.82 |
% 22.59/3.82 | COMBINE_EQS: (68), (75) imply:
% 22.59/3.82 | (77) all_51_1 = all_45_1
% 22.59/3.82 |
% 22.59/3.82 | COMBINE_EQS: (59), (75) imply:
% 22.59/3.83 | (78) all_53_4 = all_45_1
% 22.59/3.83 |
% 22.59/3.83 | REDUCE: (33), (74), (75) imply:
% 22.59/3.83 | (79) sdtlseqdt0(all_45_0, all_45_1) = all_47_0
% 22.59/3.83 |
% 22.59/3.83 | REDUCE: (38), (66) imply:
% 22.59/3.83 | (80) sdtlseqdt0(sz0z00, all_45_0) = 0
% 22.59/3.83 |
% 22.59/3.83 | REDUCE: (37), (56) imply:
% 22.59/3.83 | (81) sdtlseqdt0(sz0z00, all_45_1) = 0
% 22.59/3.83 |
% 22.59/3.83 | REDUCE: (49), (63) imply:
% 22.59/3.83 | (82) sdtasdt0(all_45_0, all_45_0) = all_53_1
% 22.59/3.83 |
% 22.59/3.83 | REDUCE: (48), (78) imply:
% 22.59/3.83 | (83) sdtasdt0(all_45_1, all_45_1) = all_53_3
% 22.59/3.83 |
% 22.59/3.83 | REDUCE: (43), (77) imply:
% 22.59/3.83 | (84) sdtasdt0(all_45_1, all_45_1) = all_51_0
% 22.59/3.83 |
% 22.59/3.83 | REDUCE: (42), (76) imply:
% 22.59/3.83 | (85) sdtasdt0(all_45_0, all_45_0) = all_51_2
% 22.59/3.83 |
% 22.59/3.83 | REDUCE: (52), (64) imply:
% 22.59/3.83 | (86) sdtpldt0(all_33_0, all_33_0) = all_55_3
% 22.59/3.83 |
% 22.59/3.83 | REDUCE: (30), (75) imply:
% 22.59/3.83 | (87) $i(all_45_1)
% 22.59/3.83 |
% 22.59/3.83 | REDUCE: (29), (74) imply:
% 22.59/3.83 | (88) $i(all_45_0)
% 22.59/3.83 |
% 22.59/3.83 | GROUND_INST: instantiating (19) with all_51_0, all_53_3, all_45_1, all_45_1,
% 22.59/3.83 | simplifying with (83), (84) gives:
% 22.59/3.83 | (89) all_53_3 = all_51_0
% 22.59/3.83 |
% 22.59/3.83 | GROUND_INST: instantiating (19) with all_51_2, all_53_1, all_45_0, all_45_0,
% 22.59/3.83 | simplifying with (82), (85) gives:
% 22.59/3.83 | (90) all_53_1 = all_51_2
% 22.59/3.83 |
% 22.59/3.83 | REDUCE: (50), (89), (90) imply:
% 22.59/3.83 | (91) sdtlseqdt0(all_51_0, all_51_2) = all_53_0
% 22.59/3.83 |
% 22.59/3.83 | GROUND_INST: instantiating (mSumSc) with xR, xS, all_45_1, simplifying with
% 22.59/3.83 | (13), (15), (24) gives:
% 22.59/3.83 | (92) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_45_1) = v2
% 22.59/3.83 | & aScalar0(xS) = v1 & aScalar0(xR) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)
% 22.59/3.83 | | v2 = 0))
% 22.59/3.83 |
% 22.59/3.83 | GROUND_INST: instantiating (mSumSc) with xP, xP, all_45_0, simplifying with
% 22.59/3.83 | (14), (25) gives:
% 22.59/3.83 | (93) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_45_0) = v2
% 22.59/3.83 | & aScalar0(xP) = v1 & aScalar0(xP) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)
% 22.59/3.83 | | v2 = 0))
% 22.59/3.83 |
% 22.59/3.83 | GROUND_INST: instantiating (3) with xR, all_55_2, simplifying with (13), (53)
% 22.59/3.83 | gives:
% 22.59/3.83 | (94) ? [v0: any] : ? [v1: any] : (sdtlseqdt0(sz0z00, all_55_2) = v1 &
% 22.59/3.83 | aScalar0(xR) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 22.59/3.83 |
% 22.59/3.83 | GROUND_INST: instantiating (mMulSc) with xR, xR, all_55_2, simplifying with
% 22.59/3.83 | (13), (53) gives:
% 22.59/3.83 | (95) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_55_2) = v2
% 22.59/3.83 | & aScalar0(xR) = v1 & aScalar0(xR) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)
% 22.59/3.83 | | v2 = 0))
% 22.59/3.83 |
% 22.59/3.83 | GROUND_INST: instantiating (mDistr) with xP, xP, xP, all_33_0, all_33_0,
% 22.59/3.83 | all_55_3, simplifying with (14), (22), (86) gives:
% 22.59/3.83 | (96) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4: $i]
% 22.59/3.83 | : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 22.59/3.83 | (sdtasdt0(v5, xP) = v6 & sdtasdt0(xP, v3) = v4 & sdtasdt0(xP, xP) = v7
% 22.59/3.83 | & sdtpldt0(all_33_0, v7) = v8 & sdtpldt0(xP, xP) = v5 & sdtpldt0(xP,
% 22.59/3.83 | xP) = v3 & aScalar0(xP) = v2 & aScalar0(xP) = v1 & aScalar0(xP) =
% 22.59/3.83 | v0 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & ( ~ (v2 =
% 22.59/3.83 | 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v8 = v6 & v4 = all_55_3)))
% 22.59/3.84 |
% 22.59/3.84 | GROUND_INST: instantiating (mMulSc) with xP, xP, all_33_0, simplifying with
% 22.59/3.84 | (14), (22) gives:
% 22.59/3.84 | (97) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_33_0) = v2
% 22.59/3.84 | & aScalar0(xP) = v1 & aScalar0(xP) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)
% 22.59/3.84 | | v2 = 0))
% 22.59/3.84 |
% 22.59/3.84 | GROUND_INST: instantiating (3) with xS, all_55_1, simplifying with (15), (55)
% 22.59/3.84 | gives:
% 22.59/3.84 | (98) ? [v0: any] : ? [v1: any] : (sdtlseqdt0(sz0z00, all_55_1) = v1 &
% 22.59/3.84 | aScalar0(xS) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 22.59/3.84 |
% 22.59/3.84 | GROUND_INST: instantiating (mMulSc) with xS, xS, all_55_1, simplifying with
% 22.59/3.84 | (15), (55) gives:
% 22.59/3.84 | (99) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_55_1) = v2
% 22.59/3.84 | & aScalar0(xS) = v1 & aScalar0(xS) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)
% 22.59/3.84 | | v2 = 0))
% 22.59/3.84 |
% 22.59/3.84 | GROUND_INST: instantiating (3) with all_45_1, all_51_0, simplifying with (84),
% 22.59/3.84 | (87) gives:
% 22.59/3.84 | (100) ? [v0: any] : ? [v1: any] : (sdtlseqdt0(sz0z00, all_51_0) = v1 &
% 22.59/3.84 | aScalar0(all_45_1) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 22.59/3.84 |
% 22.59/3.84 | GROUND_INST: instantiating (mMulSc) with all_45_1, all_45_1, all_51_0,
% 22.59/3.84 | simplifying with (84), (87) gives:
% 22.59/3.84 | (101) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_51_0) = v2
% 22.59/3.84 | & aScalar0(all_45_1) = v1 & aScalar0(all_45_1) = v0 & ( ~ (v1 = 0)
% 22.59/3.84 | | ~ (v0 = 0) | v2 = 0))
% 22.59/3.84 |
% 22.59/3.84 | GROUND_INST: instantiating (3) with all_45_0, all_51_2, simplifying with (85),
% 22.59/3.84 | (88) gives:
% 22.59/3.84 | (102) ? [v0: any] : ? [v1: any] : (sdtlseqdt0(sz0z00, all_51_2) = v1 &
% 22.59/3.84 | aScalar0(all_45_0) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 22.59/3.84 |
% 22.59/3.84 | GROUND_INST: instantiating (mMulSc) with all_45_0, all_45_0, all_51_2,
% 22.59/3.84 | simplifying with (85), (88) gives:
% 22.59/3.84 | (103) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_51_2) = v2
% 22.59/3.84 | & aScalar0(all_45_0) = v1 & aScalar0(all_45_0) = v0 & ( ~ (v1 = 0)
% 22.59/3.84 | | ~ (v0 = 0) | v2 = 0))
% 22.59/3.84 |
% 22.59/3.84 | GROUND_INST: instantiating (2) with all_45_1, all_45_1, simplifying with (81),
% 22.59/3.84 | (87) gives:
% 22.59/3.84 | (104) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : ? [v4:
% 22.59/3.84 | $i] : ? [v5: any] : (sdtlseqdt0(sz0z00, v4) = v5 &
% 22.59/3.84 | sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_45_1, all_45_1) = v4 &
% 22.59/3.84 | sdtpldt0(all_45_1, all_45_1) = v2 & aScalar0(all_45_1) = v1 &
% 22.59/3.84 | aScalar0(all_45_1) = v0 & $i(v4) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 =
% 22.59/3.84 | 0) | (v5 = 0 & v3 = 0)))
% 22.59/3.84 |
% 22.59/3.84 | GROUND_INST: instantiating (2) with all_45_0, all_45_0, simplifying with (80),
% 22.59/3.84 | (88) gives:
% 22.59/3.84 | (105) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : ? [v4:
% 22.59/3.84 | $i] : ? [v5: any] : (sdtlseqdt0(sz0z00, v4) = v5 &
% 22.59/3.84 | sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_45_0, all_45_0) = v4 &
% 22.59/3.84 | sdtpldt0(all_45_0, all_45_0) = v2 & aScalar0(all_45_0) = v1 &
% 22.59/3.84 | aScalar0(all_45_0) = v0 & $i(v4) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 =
% 22.59/3.84 | 0) | (v5 = 0 & v3 = 0)))
% 22.59/3.84 |
% 22.59/3.84 | GROUND_INST: instantiating (2) with all_45_1, all_45_0, simplifying with (80),
% 22.59/3.84 | (81), (87), (88) gives:
% 22.59/3.84 | (106) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : ? [v4:
% 22.59/3.84 | $i] : ? [v5: any] : (sdtlseqdt0(sz0z00, v4) = v5 &
% 22.59/3.84 | sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_45_1, all_45_0) = v4 &
% 22.59/3.84 | sdtpldt0(all_45_1, all_45_0) = v2 & aScalar0(all_45_0) = v1 &
% 22.59/3.84 | aScalar0(all_45_1) = v0 & $i(v4) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 =
% 22.59/3.84 | 0) | (v5 = 0 & v3 = 0)))
% 22.59/3.84 |
% 22.59/3.84 | GROUND_INST: instantiating (2) with all_45_0, all_45_1, simplifying with (80),
% 22.59/3.84 | (81), (87), (88) gives:
% 22.59/3.84 | (107) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : ? [v4:
% 22.59/3.84 | $i] : ? [v5: any] : (sdtlseqdt0(sz0z00, v4) = v5 &
% 22.59/3.84 | sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_45_0, all_45_1) = v4 &
% 22.59/3.84 | sdtpldt0(all_45_0, all_45_1) = v2 & aScalar0(all_45_0) = v0 &
% 22.59/3.84 | aScalar0(all_45_1) = v1 & $i(v4) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 =
% 22.59/3.84 | 0) | (v5 = 0 & v3 = 0)))
% 22.59/3.84 |
% 22.59/3.84 | GROUND_INST: instantiating (mLEMon) with xP, xR, xP, xS, all_45_0, all_45_1,
% 22.59/3.84 | all_47_0, simplifying with (13), (14), (15), (24), (25), (79)
% 22.59/3.84 | gives:
% 22.59/3.85 | (108) all_47_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3:
% 22.59/3.85 | any] : ? [v4: any] : ? [v5: any] : (sdtlseqdt0(xP, xS) = v5 &
% 22.59/3.85 | sdtlseqdt0(xP, xR) = v4 & aScalar0(xS) = v3 & aScalar0(xP) = v2 &
% 22.59/3.85 | aScalar0(xP) = v0 & aScalar0(xR) = v1 & ( ~ (v5 = 0) | ~ (v4 = 0)
% 22.59/3.85 | | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 22.59/3.85 |
% 22.59/3.85 | GROUND_INST: instantiating (1) with all_45_1, all_45_0, all_45_1, all_45_0,
% 22.59/3.85 | all_51_0, all_51_2, all_53_0, simplifying with (84), (85), (87),
% 22.59/3.85 | (88), (91) gives:
% 22.59/3.85 | (109) all_53_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3:
% 22.59/3.85 | any] : ? [v4: any] : ? [v5: any] : ? [v6: any] :
% 22.59/3.85 | (sdtlseqdt0(all_45_1, all_45_0) = v6 & sdtlseqdt0(all_45_1, all_45_0)
% 22.59/3.85 | = v4 & sdtlseqdt0(sz0z00, all_45_1) = v5 & aScalar0(all_45_0) = v3
% 22.59/3.85 | & aScalar0(all_45_0) = v1 & aScalar0(all_45_1) = v2 &
% 22.59/3.85 | aScalar0(all_45_1) = v0 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0)
% 22.59/3.85 | | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 22.59/3.85 |
% 22.59/3.85 | DELTA: instantiating (94) with fresh symbols all_92_0, all_92_1 gives:
% 22.59/3.85 | (110) sdtlseqdt0(sz0z00, all_55_2) = all_92_0 & aScalar0(xR) = all_92_1 & (
% 22.59/3.85 | ~ (all_92_1 = 0) | all_92_0 = 0)
% 22.59/3.85 |
% 22.59/3.85 | ALPHA: (110) implies:
% 22.59/3.85 | (111) aScalar0(xR) = all_92_1
% 22.59/3.85 |
% 22.59/3.85 | DELTA: instantiating (102) with fresh symbols all_96_0, all_96_1 gives:
% 22.59/3.85 | (112) sdtlseqdt0(sz0z00, all_51_2) = all_96_0 & aScalar0(all_45_0) =
% 22.59/3.85 | all_96_1 & ( ~ (all_96_1 = 0) | all_96_0 = 0)
% 22.59/3.85 |
% 22.59/3.85 | ALPHA: (112) implies:
% 22.59/3.85 | (113) aScalar0(all_45_0) = all_96_1
% 22.59/3.85 |
% 22.59/3.85 | DELTA: instantiating (100) with fresh symbols all_98_0, all_98_1 gives:
% 22.59/3.85 | (114) sdtlseqdt0(sz0z00, all_51_0) = all_98_0 & aScalar0(all_45_1) =
% 22.59/3.85 | all_98_1 & ( ~ (all_98_1 = 0) | all_98_0 = 0)
% 22.59/3.85 |
% 22.59/3.85 | ALPHA: (114) implies:
% 22.59/3.85 | (115) aScalar0(all_45_1) = all_98_1
% 22.59/3.85 |
% 22.59/3.85 | DELTA: instantiating (98) with fresh symbols all_104_0, all_104_1 gives:
% 22.59/3.85 | (116) sdtlseqdt0(sz0z00, all_55_1) = all_104_0 & aScalar0(xS) = all_104_1 &
% 22.59/3.85 | ( ~ (all_104_1 = 0) | all_104_0 = 0)
% 22.59/3.85 |
% 22.59/3.85 | ALPHA: (116) implies:
% 22.59/3.85 | (117) aScalar0(xS) = all_104_1
% 22.59/3.85 |
% 22.59/3.85 | DELTA: instantiating (95) with fresh symbols all_118_0, all_118_1, all_118_2
% 22.59/3.85 | gives:
% 22.59/3.85 | (118) aScalar0(all_55_2) = all_118_0 & aScalar0(xR) = all_118_1 &
% 22.59/3.85 | aScalar0(xR) = all_118_2 & ( ~ (all_118_1 = 0) | ~ (all_118_2 = 0) |
% 22.59/3.85 | all_118_0 = 0)
% 22.59/3.85 |
% 22.59/3.85 | ALPHA: (118) implies:
% 22.59/3.85 | (119) aScalar0(xR) = all_118_2
% 22.59/3.85 | (120) aScalar0(xR) = all_118_1
% 22.59/3.85 |
% 22.59/3.85 | DELTA: instantiating (101) with fresh symbols all_126_0, all_126_1, all_126_2
% 22.59/3.85 | gives:
% 22.59/3.85 | (121) aScalar0(all_51_0) = all_126_0 & aScalar0(all_45_1) = all_126_1 &
% 22.59/3.85 | aScalar0(all_45_1) = all_126_2 & ( ~ (all_126_1 = 0) | ~ (all_126_2
% 22.59/3.85 | = 0) | all_126_0 = 0)
% 22.59/3.85 |
% 22.59/3.85 | ALPHA: (121) implies:
% 22.59/3.85 | (122) aScalar0(all_45_1) = all_126_2
% 22.59/3.85 | (123) aScalar0(all_45_1) = all_126_1
% 22.59/3.85 |
% 22.59/3.85 | DELTA: instantiating (97) with fresh symbols all_128_0, all_128_1, all_128_2
% 22.59/3.85 | gives:
% 22.59/3.85 | (124) aScalar0(all_33_0) = all_128_0 & aScalar0(xP) = all_128_1 &
% 22.59/3.85 | aScalar0(xP) = all_128_2 & ( ~ (all_128_1 = 0) | ~ (all_128_2 = 0) |
% 22.59/3.85 | all_128_0 = 0)
% 22.59/3.85 |
% 22.59/3.85 | ALPHA: (124) implies:
% 22.59/3.85 | (125) aScalar0(xP) = all_128_2
% 22.59/3.85 | (126) aScalar0(xP) = all_128_1
% 22.59/3.85 |
% 22.59/3.85 | DELTA: instantiating (103) with fresh symbols all_134_0, all_134_1, all_134_2
% 22.59/3.85 | gives:
% 22.59/3.85 | (127) aScalar0(all_51_2) = all_134_0 & aScalar0(all_45_0) = all_134_1 &
% 22.59/3.85 | aScalar0(all_45_0) = all_134_2 & ( ~ (all_134_1 = 0) | ~ (all_134_2
% 22.59/3.85 | = 0) | all_134_0 = 0)
% 22.59/3.85 |
% 22.59/3.85 | ALPHA: (127) implies:
% 22.59/3.85 | (128) aScalar0(all_45_0) = all_134_2
% 22.59/3.85 | (129) aScalar0(all_45_0) = all_134_1
% 22.59/3.85 |
% 22.59/3.85 | DELTA: instantiating (93) with fresh symbols all_136_0, all_136_1, all_136_2
% 22.59/3.85 | gives:
% 22.59/3.85 | (130) aScalar0(all_45_0) = all_136_0 & aScalar0(xP) = all_136_1 &
% 22.59/3.85 | aScalar0(xP) = all_136_2 & ( ~ (all_136_1 = 0) | ~ (all_136_2 = 0) |
% 22.59/3.85 | all_136_0 = 0)
% 22.59/3.85 |
% 22.59/3.85 | ALPHA: (130) implies:
% 22.59/3.85 | (131) aScalar0(xP) = all_136_2
% 22.59/3.85 | (132) aScalar0(xP) = all_136_1
% 22.59/3.85 | (133) aScalar0(all_45_0) = all_136_0
% 22.59/3.85 | (134) ~ (all_136_1 = 0) | ~ (all_136_2 = 0) | all_136_0 = 0
% 22.59/3.85 |
% 22.59/3.85 | DELTA: instantiating (99) with fresh symbols all_138_0, all_138_1, all_138_2
% 22.59/3.85 | gives:
% 22.59/3.85 | (135) aScalar0(all_55_1) = all_138_0 & aScalar0(xS) = all_138_1 &
% 22.59/3.85 | aScalar0(xS) = all_138_2 & ( ~ (all_138_1 = 0) | ~ (all_138_2 = 0) |
% 22.59/3.85 | all_138_0 = 0)
% 22.59/3.85 |
% 22.59/3.85 | ALPHA: (135) implies:
% 22.59/3.85 | (136) aScalar0(xS) = all_138_2
% 22.59/3.85 | (137) aScalar0(xS) = all_138_1
% 22.59/3.85 |
% 22.59/3.85 | DELTA: instantiating (92) with fresh symbols all_142_0, all_142_1, all_142_2
% 22.59/3.85 | gives:
% 22.59/3.85 | (138) aScalar0(all_45_1) = all_142_0 & aScalar0(xS) = all_142_1 &
% 22.59/3.85 | aScalar0(xR) = all_142_2 & ( ~ (all_142_1 = 0) | ~ (all_142_2 = 0) |
% 22.59/3.85 | all_142_0 = 0)
% 22.59/3.85 |
% 22.59/3.85 | ALPHA: (138) implies:
% 22.59/3.85 | (139) aScalar0(xR) = all_142_2
% 22.59/3.85 | (140) aScalar0(xS) = all_142_1
% 22.59/3.85 | (141) aScalar0(all_45_1) = all_142_0
% 22.59/3.85 | (142) ~ (all_142_1 = 0) | ~ (all_142_2 = 0) | all_142_0 = 0
% 22.59/3.85 |
% 22.59/3.85 | DELTA: instantiating (107) with fresh symbols all_144_0, all_144_1, all_144_2,
% 22.59/3.85 | all_144_3, all_144_4, all_144_5 gives:
% 22.59/3.85 | (143) sdtlseqdt0(sz0z00, all_144_1) = all_144_0 & sdtlseqdt0(sz0z00,
% 22.59/3.85 | all_144_3) = all_144_2 & sdtasdt0(all_45_0, all_45_1) = all_144_1 &
% 22.59/3.85 | sdtpldt0(all_45_0, all_45_1) = all_144_3 & aScalar0(all_45_0) =
% 22.59/3.85 | all_144_5 & aScalar0(all_45_1) = all_144_4 & $i(all_144_1) &
% 22.59/3.85 | $i(all_144_3) & ( ~ (all_144_4 = 0) | ~ (all_144_5 = 0) | (all_144_0
% 22.59/3.85 | = 0 & all_144_2 = 0))
% 22.59/3.85 |
% 22.59/3.85 | ALPHA: (143) implies:
% 22.59/3.85 | (144) aScalar0(all_45_1) = all_144_4
% 22.59/3.85 | (145) aScalar0(all_45_0) = all_144_5
% 22.59/3.85 |
% 22.59/3.85 | DELTA: instantiating (106) with fresh symbols all_146_0, all_146_1, all_146_2,
% 22.59/3.85 | all_146_3, all_146_4, all_146_5 gives:
% 22.59/3.85 | (146) sdtlseqdt0(sz0z00, all_146_1) = all_146_0 & sdtlseqdt0(sz0z00,
% 22.59/3.85 | all_146_3) = all_146_2 & sdtasdt0(all_45_1, all_45_0) = all_146_1 &
% 22.59/3.85 | sdtpldt0(all_45_1, all_45_0) = all_146_3 & aScalar0(all_45_0) =
% 22.59/3.85 | all_146_4 & aScalar0(all_45_1) = all_146_5 & $i(all_146_1) &
% 22.59/3.85 | $i(all_146_3) & ( ~ (all_146_4 = 0) | ~ (all_146_5 = 0) | (all_146_0
% 22.59/3.85 | = 0 & all_146_2 = 0))
% 22.59/3.85 |
% 22.59/3.85 | ALPHA: (146) implies:
% 22.59/3.85 | (147) aScalar0(all_45_1) = all_146_5
% 22.59/3.85 | (148) aScalar0(all_45_0) = all_146_4
% 22.59/3.85 |
% 22.59/3.85 | DELTA: instantiating (104) with fresh symbols all_148_0, all_148_1, all_148_2,
% 22.59/3.85 | all_148_3, all_148_4, all_148_5 gives:
% 22.59/3.86 | (149) sdtlseqdt0(sz0z00, all_148_1) = all_148_0 & sdtlseqdt0(sz0z00,
% 22.59/3.86 | all_148_3) = all_148_2 & sdtasdt0(all_45_1, all_45_1) = all_148_1 &
% 22.59/3.86 | sdtpldt0(all_45_1, all_45_1) = all_148_3 & aScalar0(all_45_1) =
% 22.59/3.86 | all_148_4 & aScalar0(all_45_1) = all_148_5 & $i(all_148_1) &
% 22.59/3.86 | $i(all_148_3) & ( ~ (all_148_4 = 0) | ~ (all_148_5 = 0) | (all_148_0
% 22.59/3.86 | = 0 & all_148_2 = 0))
% 22.59/3.86 |
% 22.59/3.86 | ALPHA: (149) implies:
% 22.59/3.86 | (150) aScalar0(all_45_1) = all_148_5
% 22.59/3.86 | (151) aScalar0(all_45_1) = all_148_4
% 22.59/3.86 | (152) ~ (all_148_4 = 0) | ~ (all_148_5 = 0) | (all_148_0 = 0 & all_148_2
% 22.59/3.86 | = 0)
% 22.59/3.86 |
% 22.59/3.86 | DELTA: instantiating (105) with fresh symbols all_150_0, all_150_1, all_150_2,
% 22.59/3.86 | all_150_3, all_150_4, all_150_5 gives:
% 22.59/3.86 | (153) sdtlseqdt0(sz0z00, all_150_1) = all_150_0 & sdtlseqdt0(sz0z00,
% 22.59/3.86 | all_150_3) = all_150_2 & sdtasdt0(all_45_0, all_45_0) = all_150_1 &
% 22.59/3.86 | sdtpldt0(all_45_0, all_45_0) = all_150_3 & aScalar0(all_45_0) =
% 22.59/3.86 | all_150_4 & aScalar0(all_45_0) = all_150_5 & $i(all_150_1) &
% 22.59/3.86 | $i(all_150_3) & ( ~ (all_150_4 = 0) | ~ (all_150_5 = 0) | (all_150_0
% 22.59/3.86 | = 0 & all_150_2 = 0))
% 22.59/3.86 |
% 22.59/3.86 | ALPHA: (153) implies:
% 22.59/3.86 | (154) aScalar0(all_45_0) = all_150_5
% 22.59/3.86 | (155) aScalar0(all_45_0) = all_150_4
% 22.59/3.86 |
% 22.59/3.86 | DELTA: instantiating (96) with fresh symbols all_156_0, all_156_1, all_156_2,
% 22.59/3.86 | all_156_3, all_156_4, all_156_5, all_156_6, all_156_7, all_156_8 gives:
% 22.59/3.86 | (156) sdtasdt0(all_156_3, xP) = all_156_2 & sdtasdt0(xP, all_156_5) =
% 22.59/3.86 | all_156_4 & sdtasdt0(xP, xP) = all_156_1 & sdtpldt0(all_33_0,
% 22.59/3.86 | all_156_1) = all_156_0 & sdtpldt0(xP, xP) = all_156_3 &
% 22.59/3.86 | sdtpldt0(xP, xP) = all_156_5 & aScalar0(xP) = all_156_6 &
% 22.59/3.86 | aScalar0(xP) = all_156_7 & aScalar0(xP) = all_156_8 & $i(all_156_0) &
% 22.59/3.86 | $i(all_156_1) & $i(all_156_2) & $i(all_156_3) & $i(all_156_4) &
% 22.59/3.86 | $i(all_156_5) & ( ~ (all_156_6 = 0) | ~ (all_156_7 = 0) | ~
% 22.59/3.86 | (all_156_8 = 0) | (all_156_0 = all_156_2 & all_156_4 = all_55_3))
% 22.59/3.86 |
% 22.59/3.86 | ALPHA: (156) implies:
% 22.59/3.86 | (157) aScalar0(xP) = all_156_8
% 22.59/3.86 | (158) aScalar0(xP) = all_156_7
% 22.59/3.86 | (159) aScalar0(xP) = all_156_6
% 22.59/3.86 |
% 22.59/3.86 | BETA: splitting (108) gives:
% 22.59/3.86 |
% 22.59/3.86 | Case 1:
% 22.59/3.86 | |
% 22.59/3.86 | | (160) all_47_0 = 0
% 22.59/3.86 | |
% 22.59/3.86 | | REDUCE: (28), (160) imply:
% 22.59/3.86 | | (161) $false
% 22.59/3.86 | |
% 22.59/3.86 | | CLOSE: (161) is inconsistent.
% 22.59/3.86 | |
% 22.59/3.86 | Case 2:
% 22.59/3.86 | |
% 22.59/3.86 | | (162) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4:
% 22.59/3.86 | | any] : ? [v5: any] : (sdtlseqdt0(xP, xS) = v5 & sdtlseqdt0(xP,
% 22.59/3.86 | | xR) = v4 & aScalar0(xS) = v3 & aScalar0(xP) = v2 & aScalar0(xP)
% 22.59/3.86 | | = v0 & aScalar0(xR) = v1 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 =
% 22.59/3.86 | | 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 22.59/3.86 | |
% 22.59/3.86 | | DELTA: instantiating (162) with fresh symbols all_168_0, all_168_1,
% 22.59/3.86 | | all_168_2, all_168_3, all_168_4, all_168_5 gives:
% 22.59/3.86 | | (163) sdtlseqdt0(xP, xS) = all_168_0 & sdtlseqdt0(xP, xR) = all_168_1 &
% 22.59/3.86 | | aScalar0(xS) = all_168_2 & aScalar0(xP) = all_168_3 & aScalar0(xP)
% 22.59/3.86 | | = all_168_5 & aScalar0(xR) = all_168_4 & ( ~ (all_168_0 = 0) | ~
% 22.59/3.86 | | (all_168_1 = 0) | ~ (all_168_2 = 0) | ~ (all_168_3 = 0) | ~
% 22.59/3.86 | | (all_168_4 = 0) | ~ (all_168_5 = 0))
% 22.59/3.86 | |
% 22.59/3.86 | | ALPHA: (163) implies:
% 22.59/3.86 | | (164) aScalar0(xR) = all_168_4
% 22.59/3.86 | | (165) aScalar0(xP) = all_168_5
% 22.59/3.86 | | (166) aScalar0(xP) = all_168_3
% 22.59/3.86 | | (167) aScalar0(xS) = all_168_2
% 22.59/3.86 | |
% 22.59/3.86 | | GROUND_INST: instantiating (17) with 0, all_118_1, xR, simplifying with (4),
% 22.59/3.86 | | (120) gives:
% 22.59/3.86 | | (168) all_118_1 = 0
% 22.59/3.86 | |
% 22.59/3.86 | | GROUND_INST: instantiating (17) with all_118_2, all_118_1, xR, simplifying
% 22.59/3.86 | | with (119), (120) gives:
% 22.59/3.86 | | (169) all_118_1 = all_118_2
% 22.59/3.86 | |
% 22.59/3.86 | | GROUND_INST: instantiating (17) with all_142_2, all_168_4, xR, simplifying
% 22.59/3.86 | | with (139), (164) gives:
% 22.59/3.86 | | (170) all_168_4 = all_142_2
% 22.59/3.86 | |
% 22.59/3.86 | | GROUND_INST: instantiating (17) with all_118_2, all_168_4, xR, simplifying
% 22.59/3.86 | | with (119), (164) gives:
% 22.59/3.86 | | (171) all_168_4 = all_118_2
% 22.59/3.86 | |
% 22.59/3.86 | | GROUND_INST: instantiating (17) with all_92_1, all_168_4, xR, simplifying
% 22.59/3.86 | | with (111), (164) gives:
% 22.59/3.86 | | (172) all_168_4 = all_92_1
% 22.59/3.86 | |
% 22.59/3.86 | | GROUND_INST: instantiating (17) with all_128_1, all_136_2, xP, simplifying
% 22.59/3.86 | | with (126), (131) gives:
% 22.59/3.86 | | (173) all_136_2 = all_128_1
% 22.59/3.86 | |
% 22.59/3.86 | | GROUND_INST: instantiating (17) with all_156_8, all_156_6, xP, simplifying
% 22.59/3.86 | | with (157), (159) gives:
% 22.59/3.86 | | (174) all_156_6 = all_156_8
% 22.59/3.86 | |
% 22.59/3.86 | | GROUND_INST: instantiating (17) with all_136_2, all_156_6, xP, simplifying
% 22.59/3.86 | | with (131), (159) gives:
% 22.59/3.86 | | (175) all_156_6 = all_136_2
% 22.59/3.86 | |
% 22.59/3.86 | | GROUND_INST: instantiating (17) with all_128_2, all_156_6, xP, simplifying
% 22.59/3.86 | | with (125), (159) gives:
% 22.59/3.86 | | (176) all_156_6 = all_128_2
% 22.59/3.86 | |
% 22.59/3.86 | | GROUND_INST: instantiating (17) with all_136_1, all_168_5, xP, simplifying
% 22.59/3.86 | | with (132), (165) gives:
% 22.59/3.86 | | (177) all_168_5 = all_136_1
% 22.59/3.86 | |
% 22.59/3.86 | | GROUND_INST: instantiating (17) with 0, all_168_3, xP, simplifying with (5),
% 22.59/3.86 | | (166) gives:
% 22.59/3.86 | | (178) all_168_3 = 0
% 22.59/3.86 | |
% 22.59/3.86 | | GROUND_INST: instantiating (17) with all_168_5, all_168_3, xP, simplifying
% 22.59/3.86 | | with (165), (166) gives:
% 22.59/3.86 | | (179) all_168_3 = all_168_5
% 22.59/3.86 | |
% 22.59/3.86 | | GROUND_INST: instantiating (17) with all_156_7, all_168_3, xP, simplifying
% 22.59/3.87 | | with (158), (166) gives:
% 22.59/3.87 | | (180) all_168_3 = all_156_7
% 22.59/3.87 | |
% 22.59/3.87 | | GROUND_INST: instantiating (17) with all_128_1, all_168_3, xP, simplifying
% 22.59/3.87 | | with (126), (166) gives:
% 22.59/3.87 | | (181) all_168_3 = all_128_1
% 22.59/3.87 | |
% 22.59/3.87 | | GROUND_INST: instantiating (17) with all_138_1, all_142_1, xS, simplifying
% 22.59/3.87 | | with (137), (140) gives:
% 22.59/3.87 | | (182) all_142_1 = all_138_1
% 22.59/3.87 | |
% 22.59/3.87 | | GROUND_INST: instantiating (17) with all_104_1, all_142_1, xS, simplifying
% 22.59/3.87 | | with (117), (140) gives:
% 22.59/3.87 | | (183) all_142_1 = all_104_1
% 22.59/3.87 | |
% 22.59/3.87 | | GROUND_INST: instantiating (17) with 0, all_168_2, xS, simplifying with (6),
% 22.59/3.87 | | (167) gives:
% 22.59/3.87 | | (184) all_168_2 = 0
% 22.59/3.87 | |
% 22.59/3.87 | | GROUND_INST: instantiating (17) with all_138_1, all_168_2, xS, simplifying
% 22.59/3.87 | | with (137), (167) gives:
% 22.59/3.87 | | (185) all_168_2 = all_138_1
% 22.59/3.87 | |
% 22.59/3.87 | | GROUND_INST: instantiating (17) with all_138_2, all_168_2, xS, simplifying
% 22.59/3.87 | | with (136), (167) gives:
% 22.59/3.87 | | (186) all_168_2 = all_138_2
% 22.59/3.87 | |
% 22.59/3.87 | | GROUND_INST: instantiating (17) with all_142_0, all_144_4, all_45_1,
% 22.59/3.87 | | simplifying with (141), (144) gives:
% 22.59/3.87 | | (187) all_144_4 = all_142_0
% 22.59/3.87 | |
% 22.59/3.87 | | GROUND_INST: instantiating (17) with all_144_4, all_146_5, all_45_1,
% 22.59/3.87 | | simplifying with (144), (147) gives:
% 22.59/3.87 | | (188) all_146_5 = all_144_4
% 22.59/3.87 | |
% 22.59/3.87 | | GROUND_INST: instantiating (17) with all_126_1, all_146_5, all_45_1,
% 22.59/3.87 | | simplifying with (123), (147) gives:
% 22.59/3.87 | | (189) all_146_5 = all_126_1
% 22.59/3.87 | |
% 22.59/3.87 | | GROUND_INST: instantiating (17) with all_144_4, all_148_5, all_45_1,
% 22.59/3.87 | | simplifying with (144), (150) gives:
% 22.59/3.87 | | (190) all_148_5 = all_144_4
% 22.59/3.87 | |
% 22.59/3.87 | | GROUND_INST: instantiating (17) with all_126_2, all_148_5, all_45_1,
% 22.59/3.87 | | simplifying with (122), (150) gives:
% 22.59/3.87 | | (191) all_148_5 = all_126_2
% 22.59/3.87 | |
% 22.59/3.87 | | GROUND_INST: instantiating (17) with all_146_5, all_148_4, all_45_1,
% 22.59/3.87 | | simplifying with (147), (151) gives:
% 22.59/3.87 | | (192) all_148_4 = all_146_5
% 22.59/3.87 | |
% 22.59/3.87 | | GROUND_INST: instantiating (17) with all_98_1, all_148_4, all_45_1,
% 22.59/3.87 | | simplifying with (115), (151) gives:
% 22.59/3.87 | | (193) all_148_4 = all_98_1
% 22.59/3.87 | |
% 22.59/3.87 | | GROUND_INST: instantiating (17) with all_96_1, all_144_5, all_45_0,
% 22.59/3.87 | | simplifying with (113), (145) gives:
% 22.59/3.87 | | (194) all_144_5 = all_96_1
% 22.59/3.87 | |
% 22.59/3.87 | | GROUND_INST: instantiating (17) with all_134_1, all_146_4, all_45_0,
% 22.59/3.87 | | simplifying with (129), (148) gives:
% 22.59/3.87 | | (195) all_146_4 = all_134_1
% 22.59/3.87 | |
% 22.59/3.87 | | GROUND_INST: instantiating (17) with all_134_2, all_150_5, all_45_0,
% 22.59/3.87 | | simplifying with (128), (154) gives:
% 22.59/3.87 | | (196) all_150_5 = all_134_2
% 22.59/3.87 | |
% 22.59/3.87 | | GROUND_INST: instantiating (17) with all_150_5, all_150_4, all_45_0,
% 22.59/3.87 | | simplifying with (154), (155) gives:
% 22.59/3.87 | | (197) all_150_4 = all_150_5
% 22.59/3.87 | |
% 22.59/3.87 | | GROUND_INST: instantiating (17) with all_146_4, all_150_4, all_45_0,
% 22.59/3.87 | | simplifying with (148), (155) gives:
% 22.59/3.87 | | (198) all_150_4 = all_146_4
% 22.59/3.87 | |
% 22.59/3.87 | | GROUND_INST: instantiating (17) with all_144_5, all_150_4, all_45_0,
% 22.59/3.87 | | simplifying with (145), (155) gives:
% 22.59/3.87 | | (199) all_150_4 = all_144_5
% 22.59/3.87 | |
% 22.59/3.87 | | GROUND_INST: instantiating (17) with all_136_0, all_150_4, all_45_0,
% 22.59/3.87 | | simplifying with (133), (155) gives:
% 22.59/3.87 | | (200) all_150_4 = all_136_0
% 22.59/3.87 | |
% 22.59/3.87 | | COMBINE_EQS: (185), (186) imply:
% 22.59/3.87 | | (201) all_138_1 = all_138_2
% 22.59/3.87 | |
% 22.59/3.87 | | SIMP: (201) implies:
% 22.59/3.87 | | (202) all_138_1 = all_138_2
% 22.59/3.87 | |
% 22.59/3.87 | | COMBINE_EQS: (184), (186) imply:
% 22.59/3.87 | | (203) all_138_2 = 0
% 22.59/3.87 | |
% 22.59/3.87 | | COMBINE_EQS: (179), (180) imply:
% 22.59/3.87 | | (204) all_168_5 = all_156_7
% 22.59/3.87 | |
% 22.59/3.87 | | SIMP: (204) implies:
% 22.59/3.87 | | (205) all_168_5 = all_156_7
% 22.59/3.87 | |
% 22.59/3.87 | | COMBINE_EQS: (180), (181) imply:
% 22.59/3.87 | | (206) all_156_7 = all_128_1
% 22.59/3.87 | |
% 22.59/3.87 | | COMBINE_EQS: (178), (180) imply:
% 22.59/3.87 | | (207) all_156_7 = 0
% 22.59/3.87 | |
% 22.59/3.87 | | COMBINE_EQS: (170), (171) imply:
% 22.59/3.87 | | (208) all_142_2 = all_118_2
% 22.59/3.87 | |
% 22.59/3.87 | | COMBINE_EQS: (170), (172) imply:
% 22.59/3.87 | | (209) all_142_2 = all_92_1
% 22.59/3.87 | |
% 22.59/3.87 | | COMBINE_EQS: (177), (205) imply:
% 22.59/3.87 | | (210) all_156_7 = all_136_1
% 22.59/3.87 | |
% 22.59/3.87 | | SIMP: (210) implies:
% 22.59/3.87 | | (211) all_156_7 = all_136_1
% 22.59/3.87 | |
% 22.59/3.87 | | COMBINE_EQS: (174), (176) imply:
% 22.59/3.87 | | (212) all_156_8 = all_128_2
% 22.59/3.87 | |
% 22.59/3.87 | | COMBINE_EQS: (174), (175) imply:
% 22.59/3.87 | | (213) all_156_8 = all_136_2
% 22.59/3.87 | |
% 22.59/3.87 | | COMBINE_EQS: (207), (211) imply:
% 22.59/3.87 | | (214) all_136_1 = 0
% 22.59/3.87 | |
% 22.59/3.87 | | COMBINE_EQS: (206), (211) imply:
% 22.59/3.87 | | (215) all_136_1 = all_128_1
% 22.59/3.87 | |
% 22.59/3.87 | | COMBINE_EQS: (212), (213) imply:
% 22.59/3.87 | | (216) all_136_2 = all_128_2
% 22.59/3.87 | |
% 22.59/3.87 | | SIMP: (216) implies:
% 22.59/3.87 | | (217) all_136_2 = all_128_2
% 22.59/3.87 | |
% 22.59/3.87 | | COMBINE_EQS: (199), (200) imply:
% 22.59/3.87 | | (218) all_144_5 = all_136_0
% 22.59/3.87 | |
% 22.59/3.87 | | SIMP: (218) implies:
% 22.59/3.87 | | (219) all_144_5 = all_136_0
% 22.59/3.87 | |
% 22.59/3.87 | | COMBINE_EQS: (197), (200) imply:
% 22.59/3.87 | | (220) all_150_5 = all_136_0
% 22.59/3.87 | |
% 22.59/3.87 | | SIMP: (220) implies:
% 22.59/3.87 | | (221) all_150_5 = all_136_0
% 22.59/3.87 | |
% 22.59/3.87 | | COMBINE_EQS: (198), (200) imply:
% 22.59/3.87 | | (222) all_146_4 = all_136_0
% 22.59/3.87 | |
% 22.59/3.87 | | SIMP: (222) implies:
% 22.59/3.87 | | (223) all_146_4 = all_136_0
% 22.59/3.87 | |
% 22.59/3.87 | | COMBINE_EQS: (196), (221) imply:
% 22.59/3.87 | | (224) all_136_0 = all_134_2
% 22.59/3.87 | |
% 22.59/3.87 | | SIMP: (224) implies:
% 22.59/3.87 | | (225) all_136_0 = all_134_2
% 22.59/3.87 | |
% 22.59/3.87 | | COMBINE_EQS: (192), (193) imply:
% 22.59/3.87 | | (226) all_146_5 = all_98_1
% 22.59/3.87 | |
% 22.59/3.87 | | SIMP: (226) implies:
% 22.59/3.87 | | (227) all_146_5 = all_98_1
% 22.59/3.87 | |
% 22.59/3.87 | | COMBINE_EQS: (190), (191) imply:
% 22.59/3.87 | | (228) all_144_4 = all_126_2
% 22.59/3.87 | |
% 22.59/3.87 | | SIMP: (228) implies:
% 22.59/3.87 | | (229) all_144_4 = all_126_2
% 22.59/3.87 | |
% 22.59/3.87 | | COMBINE_EQS: (195), (223) imply:
% 22.59/3.87 | | (230) all_136_0 = all_134_1
% 22.59/3.87 | |
% 22.59/3.87 | | SIMP: (230) implies:
% 22.59/3.87 | | (231) all_136_0 = all_134_1
% 22.59/3.87 | |
% 22.59/3.87 | | COMBINE_EQS: (188), (189) imply:
% 22.59/3.87 | | (232) all_144_4 = all_126_1
% 22.59/3.87 | |
% 22.59/3.87 | | SIMP: (232) implies:
% 22.59/3.87 | | (233) all_144_4 = all_126_1
% 22.59/3.87 | |
% 22.59/3.87 | | COMBINE_EQS: (189), (227) imply:
% 22.59/3.87 | | (234) all_126_1 = all_98_1
% 22.59/3.87 | |
% 22.59/3.87 | | COMBINE_EQS: (187), (229) imply:
% 22.59/3.87 | | (235) all_142_0 = all_126_2
% 22.59/3.87 | |
% 22.59/3.87 | | COMBINE_EQS: (187), (233) imply:
% 22.59/3.87 | | (236) all_142_0 = all_126_1
% 22.59/3.87 | |
% 22.59/3.87 | | COMBINE_EQS: (194), (219) imply:
% 22.59/3.87 | | (237) all_136_0 = all_96_1
% 22.59/3.87 | |
% 22.59/3.87 | | SIMP: (237) implies:
% 22.59/3.87 | | (238) all_136_0 = all_96_1
% 22.59/3.87 | |
% 22.59/3.87 | | COMBINE_EQS: (235), (236) imply:
% 22.59/3.87 | | (239) all_126_1 = all_126_2
% 22.59/3.87 | |
% 22.59/3.87 | | SIMP: (239) implies:
% 22.59/3.87 | | (240) all_126_1 = all_126_2
% 22.59/3.87 | |
% 22.59/3.87 | | COMBINE_EQS: (182), (183) imply:
% 22.59/3.87 | | (241) all_138_1 = all_104_1
% 22.59/3.87 | |
% 22.59/3.87 | | SIMP: (241) implies:
% 22.59/3.87 | | (242) all_138_1 = all_104_1
% 22.59/3.87 | |
% 22.59/3.87 | | COMBINE_EQS: (208), (209) imply:
% 22.59/3.87 | | (243) all_118_2 = all_92_1
% 22.59/3.87 | |
% 22.59/3.87 | | SIMP: (243) implies:
% 22.59/3.87 | | (244) all_118_2 = all_92_1
% 22.59/3.87 | |
% 22.59/3.87 | | COMBINE_EQS: (202), (242) imply:
% 22.59/3.87 | | (245) all_138_2 = all_104_1
% 22.59/3.87 | |
% 22.59/3.87 | | SIMP: (245) implies:
% 22.59/3.87 | | (246) all_138_2 = all_104_1
% 22.59/3.87 | |
% 22.59/3.87 | | COMBINE_EQS: (203), (246) imply:
% 22.59/3.87 | | (247) all_104_1 = 0
% 22.59/3.87 | |
% 22.59/3.87 | | COMBINE_EQS: (231), (238) imply:
% 22.59/3.87 | | (248) all_134_1 = all_96_1
% 22.59/3.87 | |
% 22.59/3.87 | | COMBINE_EQS: (225), (231) imply:
% 22.59/3.88 | | (249) all_134_1 = all_134_2
% 22.59/3.88 | |
% 22.59/3.88 | | COMBINE_EQS: (214), (215) imply:
% 22.59/3.88 | | (250) all_128_1 = 0
% 22.59/3.88 | |
% 22.59/3.88 | | SIMP: (250) implies:
% 22.59/3.88 | | (251) all_128_1 = 0
% 22.59/3.88 | |
% 22.59/3.88 | | COMBINE_EQS: (173), (217) imply:
% 22.59/3.88 | | (252) all_128_1 = all_128_2
% 22.59/3.88 | |
% 22.59/3.88 | | SIMP: (252) implies:
% 22.59/3.88 | | (253) all_128_1 = all_128_2
% 22.59/3.88 | |
% 22.59/3.88 | | COMBINE_EQS: (248), (249) imply:
% 22.59/3.88 | | (254) all_134_2 = all_96_1
% 22.59/3.88 | |
% 22.59/3.88 | | SIMP: (254) implies:
% 22.59/3.88 | | (255) all_134_2 = all_96_1
% 22.59/3.88 | |
% 22.59/3.88 | | COMBINE_EQS: (251), (253) imply:
% 22.59/3.88 | | (256) all_128_2 = 0
% 22.59/3.88 | |
% 22.59/3.88 | | SIMP: (256) implies:
% 22.59/3.88 | | (257) all_128_2 = 0
% 22.59/3.88 | |
% 22.59/3.88 | | COMBINE_EQS: (234), (240) imply:
% 22.59/3.88 | | (258) all_126_2 = all_98_1
% 22.59/3.88 | |
% 22.59/3.88 | | SIMP: (258) implies:
% 22.59/3.88 | | (259) all_126_2 = all_98_1
% 22.59/3.88 | |
% 22.59/3.88 | | COMBINE_EQS: (168), (169) imply:
% 22.59/3.88 | | (260) all_118_2 = 0
% 22.59/3.88 | |
% 22.59/3.88 | | SIMP: (260) implies:
% 22.59/3.88 | | (261) all_118_2 = 0
% 22.59/3.88 | |
% 22.59/3.88 | | COMBINE_EQS: (244), (261) imply:
% 22.59/3.88 | | (262) all_92_1 = 0
% 22.59/3.88 | |
% 22.59/3.88 | | COMBINE_EQS: (217), (257) imply:
% 22.59/3.88 | | (263) all_136_2 = 0
% 22.59/3.88 | |
% 22.59/3.88 | | COMBINE_EQS: (209), (262) imply:
% 22.59/3.88 | | (264) all_142_2 = 0
% 22.59/3.88 | |
% 22.59/3.88 | | COMBINE_EQS: (183), (247) imply:
% 22.59/3.88 | | (265) all_142_1 = 0
% 22.59/3.88 | |
% 22.59/3.88 | | COMBINE_EQS: (235), (259) imply:
% 22.59/3.88 | | (266) all_142_0 = all_98_1
% 22.59/3.88 | |
% 22.59/3.88 | | COMBINE_EQS: (191), (259) imply:
% 22.59/3.88 | | (267) all_148_5 = all_98_1
% 22.59/3.88 | |
% 22.59/3.88 | | BETA: splitting (134) gives:
% 22.59/3.88 | |
% 22.59/3.88 | | Case 1:
% 22.59/3.88 | | |
% 22.59/3.88 | | | (268) ~ (all_136_1 = 0)
% 22.59/3.88 | | |
% 22.59/3.88 | | | REDUCE: (214), (268) imply:
% 22.59/3.88 | | | (269) $false
% 22.59/3.88 | | |
% 22.59/3.88 | | | CLOSE: (269) is inconsistent.
% 22.59/3.88 | | |
% 22.59/3.88 | | Case 2:
% 22.59/3.88 | | |
% 22.59/3.88 | | | (270) ~ (all_136_2 = 0) | all_136_0 = 0
% 22.59/3.88 | | |
% 22.59/3.88 | | | BETA: splitting (270) gives:
% 22.59/3.88 | | |
% 22.59/3.88 | | | Case 1:
% 22.59/3.88 | | | |
% 22.59/3.88 | | | | (271) ~ (all_136_2 = 0)
% 22.59/3.88 | | | |
% 22.59/3.88 | | | | REDUCE: (263), (271) imply:
% 22.59/3.88 | | | | (272) $false
% 22.59/3.88 | | | |
% 22.59/3.88 | | | | CLOSE: (272) is inconsistent.
% 22.59/3.88 | | | |
% 22.59/3.88 | | | Case 2:
% 22.59/3.88 | | | |
% 22.59/3.88 | | | | (273) all_136_0 = 0
% 22.59/3.88 | | | |
% 22.59/3.88 | | | | COMBINE_EQS: (238), (273) imply:
% 22.59/3.88 | | | | (274) all_96_1 = 0
% 22.59/3.88 | | | |
% 22.59/3.88 | | | | SIMP: (274) implies:
% 22.59/3.88 | | | | (275) all_96_1 = 0
% 22.59/3.88 | | | |
% 22.59/3.88 | | | | REDUCE: (113), (275) imply:
% 22.59/3.88 | | | | (276) aScalar0(all_45_0) = 0
% 22.59/3.88 | | | |
% 22.59/3.88 | | | | BETA: splitting (109) gives:
% 22.59/3.88 | | | |
% 22.59/3.88 | | | | Case 1:
% 22.59/3.88 | | | | |
% 22.59/3.88 | | | | | (277) all_53_0 = 0
% 22.59/3.88 | | | | |
% 22.59/3.88 | | | | | REDUCE: (45), (277) imply:
% 22.59/3.88 | | | | | (278) $false
% 22.59/3.88 | | | | |
% 22.59/3.88 | | | | | CLOSE: (278) is inconsistent.
% 22.59/3.88 | | | | |
% 22.59/3.88 | | | | Case 2:
% 22.59/3.88 | | | | |
% 22.59/3.88 | | | | | (279) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 22.59/3.88 | | | | | ? [v4: any] : ? [v5: any] : ? [v6: any] :
% 22.59/3.88 | | | | | (sdtlseqdt0(all_45_1, all_45_0) = v6 & sdtlseqdt0(all_45_1,
% 22.59/3.88 | | | | | all_45_0) = v4 & sdtlseqdt0(sz0z00, all_45_1) = v5 &
% 22.59/3.88 | | | | | aScalar0(all_45_0) = v3 & aScalar0(all_45_0) = v1 &
% 22.59/3.88 | | | | | aScalar0(all_45_1) = v2 & aScalar0(all_45_1) = v0 & ( ~ (v6
% 22.59/3.88 | | | | | = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2
% 22.59/3.88 | | | | | = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 22.59/3.88 | | | | |
% 22.59/3.88 | | | | | DELTA: instantiating (279) with fresh symbols all_262_0, all_262_1,
% 22.59/3.88 | | | | | all_262_2, all_262_3, all_262_4, all_262_5, all_262_6 gives:
% 22.59/3.88 | | | | | (280) sdtlseqdt0(all_45_1, all_45_0) = all_262_0 &
% 22.59/3.88 | | | | | sdtlseqdt0(all_45_1, all_45_0) = all_262_2 &
% 22.59/3.88 | | | | | sdtlseqdt0(sz0z00, all_45_1) = all_262_1 & aScalar0(all_45_0)
% 22.59/3.88 | | | | | = all_262_3 & aScalar0(all_45_0) = all_262_5 &
% 22.59/3.88 | | | | | aScalar0(all_45_1) = all_262_4 & aScalar0(all_45_1) =
% 22.59/3.88 | | | | | all_262_6 & ( ~ (all_262_0 = 0) | ~ (all_262_1 = 0) | ~
% 22.59/3.88 | | | | | (all_262_2 = 0) | ~ (all_262_3 = 0) | ~ (all_262_4 = 0) |
% 22.59/3.88 | | | | | ~ (all_262_5 = 0) | ~ (all_262_6 = 0))
% 22.59/3.88 | | | | |
% 22.59/3.88 | | | | | ALPHA: (280) implies:
% 22.59/3.88 | | | | | (281) aScalar0(all_45_1) = all_262_6
% 22.59/3.88 | | | | | (282) aScalar0(all_45_1) = all_262_4
% 22.59/3.88 | | | | | (283) aScalar0(all_45_0) = all_262_5
% 22.59/3.88 | | | | | (284) aScalar0(all_45_0) = all_262_3
% 22.59/3.88 | | | | | (285) sdtlseqdt0(sz0z00, all_45_1) = all_262_1
% 22.59/3.88 | | | | | (286) sdtlseqdt0(all_45_1, all_45_0) = all_262_2
% 22.59/3.88 | | | | | (287) sdtlseqdt0(all_45_1, all_45_0) = all_262_0
% 22.59/3.88 | | | | | (288) ~ (all_262_0 = 0) | ~ (all_262_1 = 0) | ~ (all_262_2 = 0)
% 22.59/3.88 | | | | | | ~ (all_262_3 = 0) | ~ (all_262_4 = 0) | ~ (all_262_5 =
% 22.59/3.88 | | | | | 0) | ~ (all_262_6 = 0)
% 22.59/3.88 | | | | |
% 22.59/3.88 | | | | | BETA: splitting (142) gives:
% 22.59/3.88 | | | | |
% 22.59/3.88 | | | | | Case 1:
% 22.59/3.88 | | | | | |
% 22.59/3.88 | | | | | | (289) ~ (all_142_1 = 0)
% 22.59/3.88 | | | | | |
% 22.59/3.88 | | | | | | REDUCE: (265), (289) imply:
% 22.59/3.88 | | | | | | (290) $false
% 22.59/3.88 | | | | | |
% 22.59/3.88 | | | | | | CLOSE: (290) is inconsistent.
% 22.59/3.88 | | | | | |
% 22.59/3.88 | | | | | Case 2:
% 22.59/3.88 | | | | | |
% 22.59/3.88 | | | | | | (291) ~ (all_142_2 = 0) | all_142_0 = 0
% 22.59/3.88 | | | | | |
% 22.59/3.88 | | | | | | BETA: splitting (291) gives:
% 22.59/3.88 | | | | | |
% 22.59/3.88 | | | | | | Case 1:
% 22.59/3.88 | | | | | | |
% 22.59/3.88 | | | | | | | (292) ~ (all_142_2 = 0)
% 22.59/3.88 | | | | | | |
% 22.59/3.88 | | | | | | | REDUCE: (264), (292) imply:
% 22.59/3.88 | | | | | | | (293) $false
% 22.59/3.88 | | | | | | |
% 22.59/3.88 | | | | | | | CLOSE: (293) is inconsistent.
% 22.59/3.88 | | | | | | |
% 22.59/3.88 | | | | | | Case 2:
% 22.59/3.88 | | | | | | |
% 22.59/3.88 | | | | | | | (294) all_142_0 = 0
% 22.59/3.88 | | | | | | |
% 22.59/3.88 | | | | | | | COMBINE_EQS: (266), (294) imply:
% 22.59/3.88 | | | | | | | (295) all_98_1 = 0
% 22.59/3.88 | | | | | | |
% 22.59/3.88 | | | | | | | COMBINE_EQS: (267), (295) imply:
% 22.59/3.88 | | | | | | | (296) all_148_5 = 0
% 22.59/3.88 | | | | | | |
% 22.59/3.88 | | | | | | | COMBINE_EQS: (193), (295) imply:
% 22.59/3.88 | | | | | | | (297) all_148_4 = 0
% 22.59/3.88 | | | | | | |
% 22.59/3.88 | | | | | | | REDUCE: (115), (295) imply:
% 22.59/3.88 | | | | | | | (298) aScalar0(all_45_1) = 0
% 22.59/3.88 | | | | | | |
% 22.59/3.88 | | | | | | | BETA: splitting (152) gives:
% 22.59/3.88 | | | | | | |
% 22.59/3.88 | | | | | | | Case 1:
% 22.59/3.88 | | | | | | | |
% 22.59/3.88 | | | | | | | | (299) ~ (all_148_4 = 0)
% 22.59/3.88 | | | | | | | |
% 22.59/3.88 | | | | | | | | REDUCE: (297), (299) imply:
% 22.59/3.88 | | | | | | | | (300) $false
% 22.59/3.88 | | | | | | | |
% 22.59/3.88 | | | | | | | | CLOSE: (300) is inconsistent.
% 22.59/3.88 | | | | | | | |
% 22.59/3.88 | | | | | | | Case 2:
% 22.59/3.88 | | | | | | | |
% 22.59/3.88 | | | | | | | | (301) ~ (all_148_5 = 0) | (all_148_0 = 0 & all_148_2 = 0)
% 22.59/3.88 | | | | | | | |
% 22.59/3.88 | | | | | | | | BETA: splitting (301) gives:
% 22.59/3.88 | | | | | | | |
% 22.59/3.88 | | | | | | | | Case 1:
% 22.59/3.88 | | | | | | | | |
% 22.59/3.88 | | | | | | | | | (302) ~ (all_148_5 = 0)
% 22.59/3.88 | | | | | | | | |
% 22.59/3.88 | | | | | | | | | REDUCE: (296), (302) imply:
% 22.59/3.88 | | | | | | | | | (303) $false
% 22.59/3.88 | | | | | | | | |
% 22.59/3.88 | | | | | | | | | CLOSE: (303) is inconsistent.
% 22.59/3.88 | | | | | | | | |
% 22.59/3.88 | | | | | | | | Case 2:
% 22.59/3.88 | | | | | | | | |
% 22.59/3.88 | | | | | | | | |
% 22.59/3.88 | | | | | | | | | GROUND_INST: instantiating (17) with all_262_6, all_262_4,
% 22.59/3.88 | | | | | | | | | all_45_1, simplifying with (281), (282) gives:
% 22.59/3.88 | | | | | | | | | (304) all_262_4 = all_262_6
% 22.59/3.88 | | | | | | | | |
% 22.59/3.88 | | | | | | | | | GROUND_INST: instantiating (17) with 0, all_262_4, all_45_1,
% 22.59/3.88 | | | | | | | | | simplifying with (282), (298) gives:
% 22.59/3.88 | | | | | | | | | (305) all_262_4 = 0
% 22.59/3.88 | | | | | | | | |
% 22.59/3.88 | | | | | | | | | GROUND_INST: instantiating (17) with all_262_5, all_262_3,
% 22.59/3.88 | | | | | | | | | all_45_0, simplifying with (283), (284) gives:
% 22.59/3.88 | | | | | | | | | (306) all_262_3 = all_262_5
% 22.59/3.88 | | | | | | | | |
% 22.59/3.88 | | | | | | | | | GROUND_INST: instantiating (17) with 0, all_262_3, all_45_0,
% 22.59/3.88 | | | | | | | | | simplifying with (276), (284) gives:
% 22.59/3.88 | | | | | | | | | (307) all_262_3 = 0
% 22.59/3.88 | | | | | | | | |
% 22.59/3.88 | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_262_1, all_45_1,
% 22.59/3.88 | | | | | | | | | sz0z00, simplifying with (81), (285) gives:
% 22.59/3.88 | | | | | | | | | (308) all_262_1 = 0
% 22.59/3.88 | | | | | | | | |
% 22.59/3.88 | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_262_0, all_45_0,
% 22.59/3.88 | | | | | | | | | all_45_1, simplifying with (26), (287) gives:
% 22.59/3.88 | | | | | | | | | (309) all_262_0 = 0
% 22.59/3.88 | | | | | | | | |
% 22.59/3.88 | | | | | | | | | GROUND_INST: instantiating (20) with all_262_2, all_262_0,
% 22.59/3.88 | | | | | | | | | all_45_0, all_45_1, simplifying with (286), (287)
% 22.59/3.88 | | | | | | | | | gives:
% 22.59/3.88 | | | | | | | | | (310) all_262_0 = all_262_2
% 22.59/3.88 | | | | | | | | |
% 22.59/3.88 | | | | | | | | | COMBINE_EQS: (309), (310) imply:
% 22.59/3.88 | | | | | | | | | (311) all_262_2 = 0
% 22.59/3.88 | | | | | | | | |
% 22.59/3.88 | | | | | | | | | COMBINE_EQS: (306), (307) imply:
% 22.59/3.88 | | | | | | | | | (312) all_262_5 = 0
% 22.59/3.88 | | | | | | | | |
% 22.59/3.88 | | | | | | | | | COMBINE_EQS: (304), (305) imply:
% 22.59/3.88 | | | | | | | | | (313) all_262_6 = 0
% 22.59/3.88 | | | | | | | | |
% 22.59/3.88 | | | | | | | | | BETA: splitting (288) gives:
% 22.59/3.88 | | | | | | | | |
% 22.59/3.88 | | | | | | | | | Case 1:
% 22.59/3.88 | | | | | | | | | |
% 22.59/3.88 | | | | | | | | | | (314) ~ (all_262_0 = 0)
% 22.59/3.88 | | | | | | | | | |
% 22.59/3.88 | | | | | | | | | | REDUCE: (309), (314) imply:
% 22.59/3.88 | | | | | | | | | | (315) $false
% 22.59/3.88 | | | | | | | | | |
% 22.59/3.88 | | | | | | | | | | CLOSE: (315) is inconsistent.
% 22.59/3.88 | | | | | | | | | |
% 22.59/3.88 | | | | | | | | | Case 2:
% 22.59/3.88 | | | | | | | | | |
% 22.59/3.88 | | | | | | | | | | (316) ~ (all_262_1 = 0) | ~ (all_262_2 = 0) | ~
% 22.59/3.88 | | | | | | | | | | (all_262_3 = 0) | ~ (all_262_4 = 0) | ~
% 22.59/3.88 | | | | | | | | | | (all_262_5 = 0) | ~ (all_262_6 = 0)
% 22.59/3.88 | | | | | | | | | |
% 22.59/3.88 | | | | | | | | | | BETA: splitting (316) gives:
% 22.59/3.88 | | | | | | | | | |
% 22.59/3.88 | | | | | | | | | | Case 1:
% 22.59/3.88 | | | | | | | | | | |
% 22.59/3.88 | | | | | | | | | | | (317) ~ (all_262_1 = 0)
% 22.59/3.88 | | | | | | | | | | |
% 22.59/3.88 | | | | | | | | | | | REDUCE: (308), (317) imply:
% 22.59/3.88 | | | | | | | | | | | (318) $false
% 22.59/3.88 | | | | | | | | | | |
% 22.59/3.88 | | | | | | | | | | | CLOSE: (318) is inconsistent.
% 22.59/3.88 | | | | | | | | | | |
% 22.59/3.88 | | | | | | | | | | Case 2:
% 22.59/3.88 | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | (319) ~ (all_262_2 = 0) | ~ (all_262_3 = 0) | ~
% 22.59/3.89 | | | | | | | | | | | (all_262_4 = 0) | ~ (all_262_5 = 0) | ~
% 22.59/3.89 | | | | | | | | | | | (all_262_6 = 0)
% 22.59/3.89 | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | BETA: splitting (319) gives:
% 22.59/3.89 | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | Case 1:
% 22.59/3.89 | | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | | (320) ~ (all_262_2 = 0)
% 22.59/3.89 | | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | | REDUCE: (311), (320) imply:
% 22.59/3.89 | | | | | | | | | | | | (321) $false
% 22.59/3.89 | | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | | CLOSE: (321) is inconsistent.
% 22.59/3.89 | | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | Case 2:
% 22.59/3.89 | | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | | (322) ~ (all_262_3 = 0) | ~ (all_262_4 = 0) | ~
% 22.59/3.89 | | | | | | | | | | | | (all_262_5 = 0) | ~ (all_262_6 = 0)
% 22.59/3.89 | | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | | BETA: splitting (322) gives:
% 22.59/3.89 | | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | | Case 1:
% 22.59/3.89 | | | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | | | (323) ~ (all_262_3 = 0)
% 22.59/3.89 | | | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | | | REDUCE: (307), (323) imply:
% 22.59/3.89 | | | | | | | | | | | | | (324) $false
% 22.59/3.89 | | | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | | | CLOSE: (324) is inconsistent.
% 22.59/3.89 | | | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | | Case 2:
% 22.59/3.89 | | | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | | | (325) ~ (all_262_4 = 0) | ~ (all_262_5 = 0) | ~
% 22.59/3.89 | | | | | | | | | | | | | (all_262_6 = 0)
% 22.59/3.89 | | | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | | | BETA: splitting (325) gives:
% 22.59/3.89 | | | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | | | Case 1:
% 22.59/3.89 | | | | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | | | | (326) ~ (all_262_4 = 0)
% 22.59/3.89 | | | | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | | | | REDUCE: (305), (326) imply:
% 22.59/3.89 | | | | | | | | | | | | | | (327) $false
% 22.59/3.89 | | | | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | | | | CLOSE: (327) is inconsistent.
% 22.59/3.89 | | | | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | | | Case 2:
% 22.59/3.89 | | | | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | | | | (328) ~ (all_262_5 = 0) | ~ (all_262_6 = 0)
% 22.59/3.89 | | | | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 22.59/3.89 | | | | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | | | | Case 1:
% 22.59/3.89 | | | | | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | | | | | (329) ~ (all_262_5 = 0)
% 22.59/3.89 | | | | | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | | | | | REDUCE: (312), (329) imply:
% 22.59/3.89 | | | | | | | | | | | | | | | (330) $false
% 22.59/3.89 | | | | | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | | | | | CLOSE: (330) is inconsistent.
% 22.59/3.89 | | | | | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | | | | Case 2:
% 22.59/3.89 | | | | | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | | | | | (331) ~ (all_262_6 = 0)
% 22.59/3.89 | | | | | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | | | | | REDUCE: (313), (331) imply:
% 22.59/3.89 | | | | | | | | | | | | | | | (332) $false
% 22.59/3.89 | | | | | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | | | | | CLOSE: (332) is inconsistent.
% 22.59/3.89 | | | | | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | | | | End of split
% 22.59/3.89 | | | | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | | | End of split
% 22.59/3.89 | | | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | | End of split
% 22.59/3.89 | | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | | End of split
% 22.59/3.89 | | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | | End of split
% 22.59/3.89 | | | | | | | | | |
% 22.59/3.89 | | | | | | | | | End of split
% 22.59/3.89 | | | | | | | | |
% 22.59/3.89 | | | | | | | | End of split
% 22.59/3.89 | | | | | | | |
% 22.59/3.89 | | | | | | | End of split
% 22.59/3.89 | | | | | | |
% 22.59/3.89 | | | | | | End of split
% 22.59/3.89 | | | | | |
% 22.59/3.89 | | | | | End of split
% 22.59/3.89 | | | | |
% 22.59/3.89 | | | | End of split
% 22.59/3.89 | | | |
% 22.59/3.89 | | | End of split
% 22.59/3.89 | | |
% 22.59/3.89 | | End of split
% 22.59/3.89 | |
% 22.59/3.89 | End of split
% 22.59/3.89 |
% 22.59/3.89 End of proof
% 22.59/3.89 % SZS output end Proof for theBenchmark
% 22.59/3.89
% 22.59/3.89 3289ms
%------------------------------------------------------------------------------