TSTP Solution File: RNG044+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : RNG044+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 : n001.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 13:57:31 EDT 2023
% Result : Theorem 8.09s 1.87s
% Output : Proof 14.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG044+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 02:38:46 EDT 2023
% 0.13/0.35 % 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 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 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 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 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 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 1.86/1.01 Prover 4: Preprocessing ...
% 1.86/1.01 Prover 1: Preprocessing ...
% 2.52/1.05 Prover 2: Preprocessing ...
% 2.52/1.05 Prover 0: Preprocessing ...
% 2.52/1.05 Prover 6: Preprocessing ...
% 2.52/1.05 Prover 5: Preprocessing ...
% 2.52/1.05 Prover 3: Preprocessing ...
% 4.72/1.34 Prover 6: Constructing countermodel ...
% 4.72/1.35 Prover 1: Constructing countermodel ...
% 4.72/1.36 Prover 3: Constructing countermodel ...
% 5.32/1.43 Prover 5: Constructing countermodel ...
% 5.32/1.46 Prover 4: Constructing countermodel ...
% 5.78/1.52 Prover 0: Proving ...
% 5.78/1.60 Prover 2: Proving ...
% 8.09/1.87 Prover 0: proved (1244ms)
% 8.09/1.87
% 8.09/1.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.09/1.87
% 8.09/1.87 Prover 6: stopped
% 8.09/1.87 Prover 3: stopped
% 8.09/1.88 Prover 5: stopped
% 8.09/1.89 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 8.09/1.89 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 8.09/1.89 Prover 2: stopped
% 8.09/1.89 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 8.09/1.89 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 8.09/1.89 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 8.09/1.91 Prover 8: Preprocessing ...
% 8.67/1.93 Prover 10: Preprocessing ...
% 8.67/1.93 Prover 7: Preprocessing ...
% 8.67/1.93 Prover 11: Preprocessing ...
% 8.67/1.94 Prover 13: Preprocessing ...
% 9.19/2.01 Prover 10: Constructing countermodel ...
% 9.19/2.03 Prover 8: Warning: ignoring some quantifiers
% 9.19/2.05 Prover 8: Constructing countermodel ...
% 10.20/2.13 Prover 11: Constructing countermodel ...
% 10.20/2.15 Prover 7: Constructing countermodel ...
% 10.20/2.16 Prover 13: Constructing countermodel ...
% 11.46/2.32 Prover 10: gave up
% 11.46/2.33 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 11.46/2.39 Prover 16: Preprocessing ...
% 11.46/2.43 Prover 16: Constructing countermodel ...
% 12.12/2.52 Prover 1: gave up
% 13.19/2.54 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 13.19/2.54 Prover 4: Found proof (size 164)
% 13.19/2.54 Prover 4: proved (1916ms)
% 13.19/2.54 Prover 16: stopped
% 13.19/2.54 Prover 8: stopped
% 13.19/2.54 Prover 11: stopped
% 13.19/2.54 Prover 13: stopped
% 13.19/2.55 Prover 7: stopped
% 13.19/2.55 Prover 19: Preprocessing ...
% 13.35/2.60 Prover 19: Warning: ignoring some quantifiers
% 13.35/2.60 Prover 19: Constructing countermodel ...
% 13.35/2.60 Prover 19: stopped
% 13.35/2.60
% 13.35/2.60 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.35/2.60
% 13.66/2.64 % SZS output start Proof for theBenchmark
% 13.66/2.64 Assumptions after simplification:
% 13.66/2.64 ---------------------------------
% 13.66/2.64
% 13.66/2.64 (mDistr)
% 13.82/2.68 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 13.82/2.68 $i] : ( ~ (sdtasdt0(v1, v2) = v4) | ~ (sdtasdt0(v0, v2) = v3) | ~
% 13.82/2.68 (sdtpldt0(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] :
% 13.82/2.68 ? [v7: any] : ? [v8: any] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ?
% 13.82/2.68 [v12: $i] : ? [v13: $i] : ? [v14: $i] : (sdtasdt0(v13, v2) = v14 &
% 13.82/2.68 sdtasdt0(v0, v9) = v10 & sdtasdt0(v0, v1) = v11 & sdtpldt0(v11, v3) = v12
% 13.82/2.68 & sdtpldt0(v1, v2) = v9 & sdtpldt0(v0, v1) = v13 & aScalar0(v2) = v8 &
% 13.82/2.68 aScalar0(v1) = v7 & aScalar0(v0) = v6 & $i(v14) & $i(v13) & $i(v12) &
% 13.82/2.68 $i(v11) & $i(v10) & $i(v9) & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) |
% 13.82/2.68 (v14 = v5 & v12 = v10)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 13.82/2.68 [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (sdtasdt0(v0, v2) = v4) | ~
% 13.82/2.68 (sdtasdt0(v0, v1) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1)
% 13.82/2.68 | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: $i] : ?
% 13.82/2.68 [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 13.82/2.68 (sdtasdt0(v11, v2) = v12 & sdtasdt0(v1, v2) = v13 & sdtasdt0(v0, v9) = v10 &
% 13.82/2.68 sdtpldt0(v4, v13) = v14 & sdtpldt0(v1, v2) = v9 & sdtpldt0(v0, v1) = v11 &
% 13.82/2.68 aScalar0(v2) = v8 & aScalar0(v1) = v7 & aScalar0(v0) = v6 & $i(v14) &
% 13.82/2.68 $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & ( ~ (v8 = 0) | ~ (v7 =
% 13.82/2.68 0) | ~ (v6 = 0) | (v14 = v12 & v10 = v5)))) & ! [v0: $i] : ! [v1:
% 13.82/2.68 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (sdtasdt0(v3, v2) = v4)
% 13.82/2.68 | ~ (sdtpldt0(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5:
% 13.82/2.68 any] : ? [v6: any] : ? [v7: any] : ? [v8: $i] : ? [v9: $i] : ? [v10:
% 13.82/2.68 $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 13.82/2.68 (sdtasdt0(v1, v2) = v13 & sdtasdt0(v0, v8) = v9 & sdtasdt0(v0, v2) = v11 &
% 13.82/2.68 sdtasdt0(v0, v1) = v10 & sdtpldt0(v11, v13) = v14 & sdtpldt0(v10, v11) =
% 13.82/2.68 v12 & sdtpldt0(v1, v2) = v8 & aScalar0(v2) = v7 & aScalar0(v1) = v6 &
% 13.82/2.68 aScalar0(v0) = v5 & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) &
% 13.82/2.68 $i(v9) & $i(v8) & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | (v14 = v4 &
% 13.82/2.68 v12 = v9)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] :
% 13.82/2.68 ! [v4: $i] : ( ~ (sdtasdt0(v0, v3) = v4) | ~ (sdtpldt0(v1, v2) = v3) | ~
% 13.82/2.68 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any]
% 13.82/2.68 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] :
% 13.82/2.68 ? [v13: $i] : ? [v14: $i] : (sdtasdt0(v11, v2) = v12 & sdtasdt0(v1, v2) =
% 13.82/2.68 v13 & sdtasdt0(v0, v2) = v9 & sdtasdt0(v0, v1) = v8 & sdtpldt0(v9, v13) =
% 13.82/2.68 v14 & sdtpldt0(v8, v9) = v10 & sdtpldt0(v0, v1) = v11 & aScalar0(v2) = v7
% 13.82/2.68 & aScalar0(v1) = v6 & aScalar0(v0) = v5 & $i(v14) & $i(v13) & $i(v12) &
% 13.82/2.68 $i(v11) & $i(v10) & $i(v9) & $i(v8) & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5
% 13.82/2.68 = 0) | (v14 = v12 & v10 = v4))))
% 13.82/2.68
% 13.82/2.68 (mMulSc)
% 13.82/2.68 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) | ~
% 13.82/2.68 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 13.82/2.68 (aScalar0(v2) = v5 & aScalar0(v1) = v4 & aScalar0(v0) = v3 & ( ~ (v4 = 0) |
% 13.82/2.68 ~ (v3 = 0) | v5 = 0)))
% 13.82/2.68
% 13.82/2.68 (mSumSc)
% 13.82/2.68 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtpldt0(v0, v1) = v2) | ~
% 13.82/2.68 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 13.82/2.68 (aScalar0(v2) = v5 & aScalar0(v1) = v4 & aScalar0(v0) = v3 & ( ~ (v4 = 0) |
% 13.82/2.68 ~ (v3 = 0) | v5 = 0)))
% 13.82/2.68
% 13.82/2.68 (m__)
% 13.82/2.68 $i(xv) & $i(xu) & $i(xy) & $i(xx) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 13.82/2.68 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 13.82/2.68 $i] : ? [v9: $i] : ( ~ (v9 = v2) & sdtasdt0(v0, v1) = v2 & sdtasdt0(xy, xv)
% 13.82/2.68 = v7 & sdtasdt0(xy, xu) = v6 & sdtasdt0(xx, xv) = v4 & sdtasdt0(xx, xu) = v3
% 13.82/2.68 & sdtpldt0(v6, v7) = v8 & sdtpldt0(v5, v8) = v9 & sdtpldt0(v3, v4) = v5 &
% 13.82/2.68 sdtpldt0(xu, xv) = v1 & sdtpldt0(xx, xy) = v0 & $i(v9) & $i(v8) & $i(v7) &
% 13.82/2.68 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 13.82/2.68
% 13.82/2.68 (m__674)
% 13.82/2.68 aScalar0(xv) = 0 & aScalar0(xu) = 0 & aScalar0(xy) = 0 & aScalar0(xx) = 0 &
% 13.82/2.68 $i(xv) & $i(xu) & $i(xy) & $i(xx)
% 13.82/2.68
% 13.82/2.68 (function-axioms)
% 13.82/2.69 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 13.82/2.69 (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0)) & ! [v0: $i] : !
% 13.82/2.69 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) |
% 13.82/2.69 ~ (sdtpldt0(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 13.82/2.69 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (iLess0(v3,
% 13.82/2.69 v2) = v1) | ~ (iLess0(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 13.82/2.69 [v2: $i] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~ (smndt0(v2) = v0)) & ! [v0:
% 13.82/2.69 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 13.82/2.69 ~ (aScalar0(v2) = v1) | ~ (aScalar0(v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 13.82/2.69 : ! [v2: $i] : (v1 = v0 | ~ (szszuzczcdt0(v2) = v1) | ~ (szszuzczcdt0(v2) =
% 13.82/2.69 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 13.82/2.69 $i] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) =
% 13.82/2.69 v0))
% 13.82/2.69
% 13.82/2.69 Further assumptions not needed in the proof:
% 13.82/2.69 --------------------------------------------
% 13.82/2.69 mArith, mIH, mIHOrd, mNatExtr, mNatSort, mNegSc, mSZeroSc, mScSort, mScZero,
% 13.82/2.69 mSuccEqu, mSuccNat, mZeroNat
% 13.82/2.69
% 13.82/2.69 Those formulas are unsatisfiable:
% 13.82/2.69 ---------------------------------
% 13.82/2.69
% 13.82/2.69 Begin of proof
% 13.82/2.69 |
% 13.82/2.69 | ALPHA: (mDistr) implies:
% 13.82/2.69 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 13.82/2.69 | ~ (sdtasdt0(v0, v3) = v4) | ~ (sdtpldt0(v1, v2) = v3) | ~ $i(v2) |
% 13.82/2.69 | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 13.82/2.69 | ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i]
% 13.82/2.69 | : ? [v13: $i] : ? [v14: $i] : (sdtasdt0(v11, v2) = v12 &
% 13.82/2.69 | sdtasdt0(v1, v2) = v13 & sdtasdt0(v0, v2) = v9 & sdtasdt0(v0, v1) =
% 13.82/2.69 | v8 & sdtpldt0(v9, v13) = v14 & sdtpldt0(v8, v9) = v10 &
% 13.82/2.69 | sdtpldt0(v0, v1) = v11 & aScalar0(v2) = v7 & aScalar0(v1) = v6 &
% 13.82/2.69 | aScalar0(v0) = v5 & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10)
% 13.82/2.69 | & $i(v9) & $i(v8) & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | (v14
% 13.82/2.69 | = v12 & v10 = v4))))
% 13.82/2.69 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 13.82/2.69 | ~ (sdtasdt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ $i(v2) |
% 13.82/2.69 | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 13.82/2.69 | ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i]
% 13.82/2.69 | : ? [v13: $i] : ? [v14: $i] : (sdtasdt0(v1, v2) = v13 &
% 13.82/2.69 | sdtasdt0(v0, v8) = v9 & sdtasdt0(v0, v2) = v11 & sdtasdt0(v0, v1) =
% 13.82/2.69 | v10 & sdtpldt0(v11, v13) = v14 & sdtpldt0(v10, v11) = v12 &
% 13.82/2.69 | sdtpldt0(v1, v2) = v8 & aScalar0(v2) = v7 & aScalar0(v1) = v6 &
% 13.82/2.69 | aScalar0(v0) = v5 & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10)
% 13.82/2.69 | & $i(v9) & $i(v8) & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | (v14
% 13.82/2.69 | = v4 & v12 = v9))))
% 13.82/2.69 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 13.82/2.69 | ! [v5: $i] : ( ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) |
% 13.82/2.69 | ~ (sdtpldt0(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 13.82/2.69 | [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: $i] : ? [v10: $i]
% 13.82/2.69 | : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 13.82/2.69 | (sdtasdt0(v11, v2) = v12 & sdtasdt0(v1, v2) = v13 & sdtasdt0(v0, v9)
% 13.82/2.69 | = v10 & sdtpldt0(v4, v13) = v14 & sdtpldt0(v1, v2) = v9 &
% 13.82/2.69 | sdtpldt0(v0, v1) = v11 & aScalar0(v2) = v8 & aScalar0(v1) = v7 &
% 13.82/2.69 | aScalar0(v0) = v6 & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10)
% 13.82/2.69 | & $i(v9) & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | (v14 = v12 &
% 13.82/2.69 | v10 = v5))))
% 13.82/2.69 |
% 13.82/2.69 | ALPHA: (m__674) implies:
% 13.82/2.69 | (4) aScalar0(xx) = 0
% 13.82/2.69 | (5) aScalar0(xy) = 0
% 13.82/2.69 | (6) aScalar0(xu) = 0
% 13.82/2.70 | (7) aScalar0(xv) = 0
% 13.82/2.70 |
% 13.82/2.70 | ALPHA: (m__) implies:
% 13.82/2.70 | (8) $i(xx)
% 13.82/2.70 | (9) $i(xy)
% 13.82/2.70 | (10) $i(xu)
% 13.82/2.70 | (11) $i(xv)
% 13.82/2.70 | (12) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 13.82/2.70 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : (
% 13.82/2.70 | ~ (v9 = v2) & sdtasdt0(v0, v1) = v2 & sdtasdt0(xy, xv) = v7 &
% 13.82/2.70 | sdtasdt0(xy, xu) = v6 & sdtasdt0(xx, xv) = v4 & sdtasdt0(xx, xu) =
% 13.82/2.70 | v3 & sdtpldt0(v6, v7) = v8 & sdtpldt0(v5, v8) = v9 & sdtpldt0(v3,
% 13.82/2.70 | v4) = v5 & sdtpldt0(xu, xv) = v1 & sdtpldt0(xx, xy) = v0 & $i(v9)
% 13.82/2.70 | & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 13.82/2.70 | $i(v1) & $i(v0))
% 13.82/2.70 |
% 13.82/2.70 | ALPHA: (function-axioms) implies:
% 13.82/2.70 | (13) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 13.82/2.70 | : (v1 = v0 | ~ (aScalar0(v2) = v1) | ~ (aScalar0(v2) = v0))
% 13.82/2.70 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 13.82/2.70 | (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0))
% 13.82/2.70 | (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 13.82/2.70 | (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0))
% 13.82/2.70 |
% 13.82/2.70 | DELTA: instantiating (12) with fresh symbols all_13_0, all_13_1, all_13_2,
% 13.82/2.70 | all_13_3, all_13_4, all_13_5, all_13_6, all_13_7, all_13_8, all_13_9
% 13.82/2.70 | gives:
% 13.82/2.70 | (16) ~ (all_13_0 = all_13_7) & sdtasdt0(all_13_9, all_13_8) = all_13_7 &
% 13.82/2.70 | sdtasdt0(xy, xv) = all_13_2 & sdtasdt0(xy, xu) = all_13_3 &
% 13.82/2.70 | sdtasdt0(xx, xv) = all_13_5 & sdtasdt0(xx, xu) = all_13_6 &
% 13.82/2.70 | sdtpldt0(all_13_3, all_13_2) = all_13_1 & sdtpldt0(all_13_4, all_13_1)
% 13.82/2.70 | = all_13_0 & sdtpldt0(all_13_6, all_13_5) = all_13_4 & sdtpldt0(xu,
% 13.82/2.70 | xv) = all_13_8 & sdtpldt0(xx, xy) = all_13_9 & $i(all_13_0) &
% 13.82/2.70 | $i(all_13_1) & $i(all_13_2) & $i(all_13_3) & $i(all_13_4) &
% 13.82/2.70 | $i(all_13_5) & $i(all_13_6) & $i(all_13_7) & $i(all_13_8) &
% 13.82/2.70 | $i(all_13_9)
% 13.82/2.70 |
% 13.82/2.70 | ALPHA: (16) implies:
% 13.82/2.70 | (17) ~ (all_13_0 = all_13_7)
% 13.82/2.70 | (18) $i(all_13_9)
% 13.82/2.70 | (19) $i(all_13_8)
% 13.82/2.70 | (20) sdtpldt0(xx, xy) = all_13_9
% 13.82/2.70 | (21) sdtpldt0(xu, xv) = all_13_8
% 13.82/2.70 | (22) sdtpldt0(all_13_6, all_13_5) = all_13_4
% 13.82/2.70 | (23) sdtpldt0(all_13_4, all_13_1) = all_13_0
% 13.82/2.70 | (24) sdtpldt0(all_13_3, all_13_2) = all_13_1
% 13.82/2.70 | (25) sdtasdt0(xx, xu) = all_13_6
% 13.82/2.70 | (26) sdtasdt0(xx, xv) = all_13_5
% 13.82/2.70 | (27) sdtasdt0(xy, xu) = all_13_3
% 13.82/2.70 | (28) sdtasdt0(xy, xv) = all_13_2
% 13.82/2.70 | (29) sdtasdt0(all_13_9, all_13_8) = all_13_7
% 13.82/2.70 |
% 13.82/2.70 | GROUND_INST: instantiating (mSumSc) with xx, xy, all_13_9, simplifying with
% 13.82/2.70 | (8), (9), (20) gives:
% 13.82/2.70 | (30) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_13_9) = v2
% 13.82/2.70 | & aScalar0(xy) = v1 & aScalar0(xx) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)
% 13.82/2.70 | | v2 = 0))
% 13.82/2.70 |
% 13.82/2.70 | GROUND_INST: instantiating (mSumSc) with xu, xv, all_13_8, simplifying with
% 13.82/2.70 | (10), (11), (21) gives:
% 13.82/2.71 | (31) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_13_8) = v2
% 13.82/2.71 | & aScalar0(xv) = v1 & aScalar0(xu) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)
% 13.82/2.71 | | v2 = 0))
% 13.82/2.71 |
% 13.82/2.71 | GROUND_INST: instantiating (mMulSc) with xx, xu, all_13_6, simplifying with
% 13.82/2.71 | (8), (10), (25) gives:
% 13.82/2.71 | (32) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_13_6) = v2
% 13.82/2.71 | & aScalar0(xu) = v1 & aScalar0(xx) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)
% 13.82/2.71 | | v2 = 0))
% 13.82/2.71 |
% 13.82/2.71 | GROUND_INST: instantiating (3) with xx, xu, xv, all_13_6, all_13_5, all_13_4,
% 13.82/2.71 | simplifying with (8), (10), (11), (22), (25), (26) gives:
% 13.82/2.71 | (33) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4: $i]
% 13.82/2.71 | : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 13.82/2.71 | (sdtasdt0(v5, xv) = v6 & sdtasdt0(xu, xv) = v7 & sdtasdt0(xx, v3) = v4
% 13.82/2.71 | & sdtpldt0(all_13_5, v7) = v8 & sdtpldt0(xu, xv) = v3 & sdtpldt0(xx,
% 13.82/2.71 | xu) = v5 & aScalar0(xv) = v2 & aScalar0(xu) = v1 & aScalar0(xx) =
% 13.82/2.71 | v0 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & ( ~ (v2 =
% 13.82/2.71 | 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v8 = v6 & v4 = all_13_4)))
% 13.82/2.71 |
% 13.82/2.71 | GROUND_INST: instantiating (mMulSc) with xx, xv, all_13_5, simplifying with
% 13.82/2.71 | (8), (11), (26) gives:
% 13.82/2.71 | (34) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_13_5) = v2
% 13.82/2.71 | & aScalar0(xv) = v1 & aScalar0(xx) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)
% 13.82/2.71 | | v2 = 0))
% 13.82/2.71 |
% 13.82/2.71 | GROUND_INST: instantiating (mMulSc) with xy, xu, all_13_3, simplifying with
% 13.82/2.71 | (9), (10), (27) gives:
% 13.82/2.71 | (35) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_13_3) = v2
% 13.82/2.71 | & aScalar0(xu) = v1 & aScalar0(xy) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)
% 13.82/2.71 | | v2 = 0))
% 13.82/2.71 |
% 13.82/2.71 | GROUND_INST: instantiating (3) with xy, xu, xv, all_13_3, all_13_2, all_13_1,
% 13.82/2.71 | simplifying with (9), (10), (11), (24), (27), (28) gives:
% 13.82/2.71 | (36) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4: $i]
% 13.82/2.71 | : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 13.82/2.71 | (sdtasdt0(v5, xv) = v6 & sdtasdt0(xu, xv) = v7 & sdtasdt0(xy, v3) = v4
% 13.82/2.71 | & sdtpldt0(all_13_2, v7) = v8 & sdtpldt0(xu, xv) = v3 & sdtpldt0(xy,
% 13.82/2.71 | xu) = v5 & aScalar0(xv) = v2 & aScalar0(xu) = v1 & aScalar0(xy) =
% 13.82/2.71 | v0 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & ( ~ (v2 =
% 13.82/2.71 | 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v8 = v6 & v4 = all_13_1)))
% 13.82/2.71 |
% 13.82/2.71 | GROUND_INST: instantiating (mMulSc) with xy, xv, all_13_2, simplifying with
% 13.82/2.71 | (9), (11), (28) gives:
% 13.82/2.71 | (37) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_13_2) = v2
% 13.82/2.71 | & aScalar0(xv) = v1 & aScalar0(xy) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)
% 13.82/2.71 | | v2 = 0))
% 13.82/2.71 |
% 13.82/2.71 | GROUND_INST: instantiating (1) with all_13_9, xu, xv, all_13_8, all_13_7,
% 13.82/2.71 | simplifying with (10), (11), (18), (21), (29) gives:
% 13.82/2.71 | (38) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4: $i]
% 13.82/2.71 | : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i]
% 13.82/2.71 | : (sdtasdt0(v6, xv) = v7 & sdtasdt0(all_13_9, xv) = v4 &
% 13.82/2.71 | sdtasdt0(all_13_9, xu) = v3 & sdtasdt0(xu, xv) = v8 & sdtpldt0(v4,
% 13.82/2.71 | v8) = v9 & sdtpldt0(v3, v4) = v5 & sdtpldt0(all_13_9, xu) = v6 &
% 13.82/2.71 | aScalar0(all_13_9) = v0 & aScalar0(xv) = v2 & aScalar0(xu) = v1 &
% 13.82/2.71 | $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & ( ~
% 13.82/2.71 | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v9 = v7 & v5 = all_13_7)))
% 13.82/2.71 |
% 13.82/2.72 | GROUND_INST: instantiating (2) with xx, xy, all_13_8, all_13_9, all_13_7,
% 13.82/2.72 | simplifying with (8), (9), (19), (20), (29) gives:
% 13.82/2.72 | (39) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4: $i]
% 13.82/2.72 | : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i]
% 13.82/2.72 | : (sdtasdt0(xy, all_13_8) = v8 & sdtasdt0(xx, v3) = v4 & sdtasdt0(xx,
% 13.82/2.72 | all_13_8) = v6 & sdtasdt0(xx, xy) = v5 & sdtpldt0(v6, v8) = v9 &
% 13.82/2.72 | sdtpldt0(v5, v6) = v7 & sdtpldt0(xy, all_13_8) = v3 &
% 13.82/2.72 | aScalar0(all_13_8) = v2 & aScalar0(xy) = v1 & aScalar0(xx) = v0 &
% 13.82/2.72 | $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & ( ~
% 13.82/2.72 | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v9 = all_13_7 & v7 = v4)))
% 13.82/2.72 |
% 13.82/2.72 | DELTA: instantiating (37) with fresh symbols all_40_0, all_40_1, all_40_2
% 13.82/2.72 | gives:
% 13.82/2.72 | (40) aScalar0(all_13_2) = all_40_0 & aScalar0(xv) = all_40_1 & aScalar0(xy)
% 13.82/2.72 | = all_40_2 & ( ~ (all_40_1 = 0) | ~ (all_40_2 = 0) | all_40_0 = 0)
% 13.82/2.72 |
% 13.82/2.72 | ALPHA: (40) implies:
% 13.82/2.72 | (41) aScalar0(xy) = all_40_2
% 13.82/2.72 | (42) aScalar0(xv) = all_40_1
% 13.82/2.72 |
% 13.82/2.72 | DELTA: instantiating (31) with fresh symbols all_44_0, all_44_1, all_44_2
% 13.82/2.72 | gives:
% 13.82/2.72 | (43) aScalar0(all_13_8) = all_44_0 & aScalar0(xv) = all_44_1 & aScalar0(xu)
% 13.82/2.72 | = all_44_2 & ( ~ (all_44_1 = 0) | ~ (all_44_2 = 0) | all_44_0 = 0)
% 13.82/2.72 |
% 13.82/2.72 | ALPHA: (43) implies:
% 13.82/2.72 | (44) aScalar0(xu) = all_44_2
% 13.82/2.72 | (45) aScalar0(xv) = all_44_1
% 13.82/2.72 | (46) aScalar0(all_13_8) = all_44_0
% 13.82/2.72 | (47) ~ (all_44_1 = 0) | ~ (all_44_2 = 0) | all_44_0 = 0
% 13.82/2.72 |
% 13.82/2.72 | DELTA: instantiating (35) with fresh symbols all_48_0, all_48_1, all_48_2
% 13.82/2.72 | gives:
% 13.82/2.72 | (48) aScalar0(all_13_3) = all_48_0 & aScalar0(xu) = all_48_1 & aScalar0(xy)
% 13.82/2.72 | = all_48_2 & ( ~ (all_48_1 = 0) | ~ (all_48_2 = 0) | all_48_0 = 0)
% 13.82/2.72 |
% 13.82/2.72 | ALPHA: (48) implies:
% 13.82/2.72 | (49) aScalar0(xy) = all_48_2
% 13.82/2.72 | (50) aScalar0(xu) = all_48_1
% 13.82/2.72 |
% 13.82/2.72 | DELTA: instantiating (32) with fresh symbols all_50_0, all_50_1, all_50_2
% 13.82/2.72 | gives:
% 13.82/2.72 | (51) aScalar0(all_13_6) = all_50_0 & aScalar0(xu) = all_50_1 & aScalar0(xx)
% 13.82/2.72 | = all_50_2 & ( ~ (all_50_1 = 0) | ~ (all_50_2 = 0) | all_50_0 = 0)
% 13.82/2.72 |
% 13.82/2.72 | ALPHA: (51) implies:
% 13.82/2.72 | (52) aScalar0(xx) = all_50_2
% 13.82/2.72 | (53) aScalar0(xu) = all_50_1
% 13.82/2.72 |
% 13.82/2.72 | DELTA: instantiating (30) with fresh symbols all_52_0, all_52_1, all_52_2
% 13.82/2.72 | gives:
% 13.82/2.72 | (54) aScalar0(all_13_9) = all_52_0 & aScalar0(xy) = all_52_1 & aScalar0(xx)
% 13.82/2.72 | = all_52_2 & ( ~ (all_52_1 = 0) | ~ (all_52_2 = 0) | all_52_0 = 0)
% 13.82/2.72 |
% 13.82/2.72 | ALPHA: (54) implies:
% 13.82/2.72 | (55) aScalar0(xx) = all_52_2
% 13.82/2.72 | (56) aScalar0(xy) = all_52_1
% 13.82/2.72 |
% 13.82/2.72 | DELTA: instantiating (34) with fresh symbols all_54_0, all_54_1, all_54_2
% 13.82/2.72 | gives:
% 13.82/2.72 | (57) aScalar0(all_13_5) = all_54_0 & aScalar0(xv) = all_54_1 & aScalar0(xx)
% 13.82/2.72 | = all_54_2 & ( ~ (all_54_1 = 0) | ~ (all_54_2 = 0) | all_54_0 = 0)
% 13.82/2.72 |
% 13.82/2.72 | ALPHA: (57) implies:
% 13.82/2.72 | (58) aScalar0(xx) = all_54_2
% 13.82/2.72 | (59) aScalar0(xv) = all_54_1
% 13.82/2.72 |
% 13.82/2.72 | DELTA: instantiating (33) with fresh symbols all_70_0, all_70_1, all_70_2,
% 13.82/2.72 | all_70_3, all_70_4, all_70_5, all_70_6, all_70_7, all_70_8 gives:
% 13.82/2.72 | (60) sdtasdt0(all_70_3, xv) = all_70_2 & sdtasdt0(xu, xv) = all_70_1 &
% 13.82/2.72 | sdtasdt0(xx, all_70_5) = all_70_4 & sdtpldt0(all_13_5, all_70_1) =
% 13.82/2.72 | all_70_0 & sdtpldt0(xu, xv) = all_70_5 & sdtpldt0(xx, xu) = all_70_3 &
% 13.82/2.72 | aScalar0(xv) = all_70_6 & aScalar0(xu) = all_70_7 & aScalar0(xx) =
% 13.82/2.72 | all_70_8 & $i(all_70_0) & $i(all_70_1) & $i(all_70_2) & $i(all_70_3) &
% 13.82/2.72 | $i(all_70_4) & $i(all_70_5) & ( ~ (all_70_6 = 0) | ~ (all_70_7 = 0) |
% 13.82/2.72 | ~ (all_70_8 = 0) | (all_70_0 = all_70_2 & all_70_4 = all_13_4))
% 13.82/2.72 |
% 13.82/2.72 | ALPHA: (60) implies:
% 13.82/2.72 | (61) aScalar0(xx) = all_70_8
% 13.82/2.72 | (62) aScalar0(xu) = all_70_7
% 13.82/2.72 | (63) aScalar0(xv) = all_70_6
% 13.82/2.73 | (64) sdtpldt0(xu, xv) = all_70_5
% 13.82/2.73 | (65) sdtasdt0(xx, all_70_5) = all_70_4
% 13.82/2.73 | (66) ~ (all_70_6 = 0) | ~ (all_70_7 = 0) | ~ (all_70_8 = 0) | (all_70_0
% 13.82/2.73 | = all_70_2 & all_70_4 = all_13_4)
% 13.82/2.73 |
% 13.82/2.73 | DELTA: instantiating (36) with fresh symbols all_72_0, all_72_1, all_72_2,
% 13.82/2.73 | all_72_3, all_72_4, all_72_5, all_72_6, all_72_7, all_72_8 gives:
% 13.82/2.73 | (67) sdtasdt0(all_72_3, xv) = all_72_2 & sdtasdt0(xu, xv) = all_72_1 &
% 13.82/2.73 | sdtasdt0(xy, all_72_5) = all_72_4 & sdtpldt0(all_13_2, all_72_1) =
% 13.82/2.73 | all_72_0 & sdtpldt0(xu, xv) = all_72_5 & sdtpldt0(xy, xu) = all_72_3 &
% 13.82/2.73 | aScalar0(xv) = all_72_6 & aScalar0(xu) = all_72_7 & aScalar0(xy) =
% 13.82/2.73 | all_72_8 & $i(all_72_0) & $i(all_72_1) & $i(all_72_2) & $i(all_72_3) &
% 13.82/2.73 | $i(all_72_4) & $i(all_72_5) & ( ~ (all_72_6 = 0) | ~ (all_72_7 = 0) |
% 13.82/2.73 | ~ (all_72_8 = 0) | (all_72_0 = all_72_2 & all_72_4 = all_13_1))
% 13.82/2.73 |
% 13.82/2.73 | ALPHA: (67) implies:
% 13.82/2.73 | (68) aScalar0(xy) = all_72_8
% 13.82/2.73 | (69) aScalar0(xu) = all_72_7
% 13.82/2.73 | (70) aScalar0(xv) = all_72_6
% 13.82/2.73 | (71) sdtpldt0(xu, xv) = all_72_5
% 13.82/2.73 | (72) sdtasdt0(xy, all_72_5) = all_72_4
% 13.82/2.73 | (73) ~ (all_72_6 = 0) | ~ (all_72_7 = 0) | ~ (all_72_8 = 0) | (all_72_0
% 13.82/2.73 | = all_72_2 & all_72_4 = all_13_1)
% 13.82/2.73 |
% 13.82/2.73 | DELTA: instantiating (39) with fresh symbols all_74_0, all_74_1, all_74_2,
% 13.82/2.73 | all_74_3, all_74_4, all_74_5, all_74_6, all_74_7, all_74_8, all_74_9
% 13.82/2.73 | gives:
% 13.82/2.73 | (74) sdtasdt0(xy, all_13_8) = all_74_1 & sdtasdt0(xx, all_74_6) = all_74_5
% 13.82/2.73 | & sdtasdt0(xx, all_13_8) = all_74_3 & sdtasdt0(xx, xy) = all_74_4 &
% 13.82/2.73 | sdtpldt0(all_74_3, all_74_1) = all_74_0 & sdtpldt0(all_74_4, all_74_3)
% 13.82/2.73 | = all_74_2 & sdtpldt0(xy, all_13_8) = all_74_6 & aScalar0(all_13_8) =
% 13.82/2.73 | all_74_7 & aScalar0(xy) = all_74_8 & aScalar0(xx) = all_74_9 &
% 13.82/2.73 | $i(all_74_0) & $i(all_74_1) & $i(all_74_2) & $i(all_74_3) &
% 13.82/2.73 | $i(all_74_4) & $i(all_74_5) & $i(all_74_6) & ( ~ (all_74_7 = 0) | ~
% 13.82/2.73 | (all_74_8 = 0) | ~ (all_74_9 = 0) | (all_74_0 = all_13_7 & all_74_2
% 13.82/2.73 | = all_74_5))
% 13.82/2.73 |
% 13.82/2.73 | ALPHA: (74) implies:
% 13.82/2.73 | (75) aScalar0(xx) = all_74_9
% 13.82/2.73 | (76) aScalar0(xy) = all_74_8
% 13.82/2.73 | (77) aScalar0(all_13_8) = all_74_7
% 13.82/2.73 | (78) sdtpldt0(all_74_3, all_74_1) = all_74_0
% 13.82/2.73 | (79) sdtasdt0(xx, all_13_8) = all_74_3
% 13.82/2.73 | (80) sdtasdt0(xy, all_13_8) = all_74_1
% 13.82/2.73 | (81) ~ (all_74_7 = 0) | ~ (all_74_8 = 0) | ~ (all_74_9 = 0) | (all_74_0
% 13.82/2.73 | = all_13_7 & all_74_2 = all_74_5)
% 13.82/2.73 |
% 13.82/2.73 | DELTA: instantiating (38) with fresh symbols all_76_0, all_76_1, all_76_2,
% 13.82/2.73 | all_76_3, all_76_4, all_76_5, all_76_6, all_76_7, all_76_8, all_76_9
% 13.82/2.73 | gives:
% 13.82/2.73 | (82) sdtasdt0(all_76_3, xv) = all_76_2 & sdtasdt0(all_13_9, xv) = all_76_5
% 13.82/2.73 | & sdtasdt0(all_13_9, xu) = all_76_6 & sdtasdt0(xu, xv) = all_76_1 &
% 13.82/2.73 | sdtpldt0(all_76_5, all_76_1) = all_76_0 & sdtpldt0(all_76_6, all_76_5)
% 13.82/2.73 | = all_76_4 & sdtpldt0(all_13_9, xu) = all_76_3 & aScalar0(all_13_9) =
% 13.82/2.73 | all_76_9 & aScalar0(xv) = all_76_7 & aScalar0(xu) = all_76_8 &
% 13.82/2.73 | $i(all_76_0) & $i(all_76_1) & $i(all_76_2) & $i(all_76_3) &
% 14.17/2.73 | $i(all_76_4) & $i(all_76_5) & $i(all_76_6) & ( ~ (all_76_7 = 0) | ~
% 14.17/2.73 | (all_76_8 = 0) | ~ (all_76_9 = 0) | (all_76_0 = all_76_2 & all_76_4
% 14.17/2.73 | = all_13_7))
% 14.17/2.73 |
% 14.17/2.73 | ALPHA: (82) implies:
% 14.17/2.73 | (83) aScalar0(xu) = all_76_8
% 14.17/2.73 | (84) aScalar0(xv) = all_76_7
% 14.17/2.73 |
% 14.17/2.73 | GROUND_INST: instantiating (13) with 0, all_54_2, xx, simplifying with (4),
% 14.17/2.73 | (58) gives:
% 14.17/2.73 | (85) all_54_2 = 0
% 14.17/2.73 |
% 14.17/2.73 | GROUND_INST: instantiating (13) with all_54_2, all_70_8, xx, simplifying with
% 14.17/2.73 | (58), (61) gives:
% 14.17/2.73 | (86) all_70_8 = all_54_2
% 14.17/2.73 |
% 14.17/2.73 | GROUND_INST: instantiating (13) with all_52_2, all_70_8, xx, simplifying with
% 14.17/2.73 | (55), (61) gives:
% 14.17/2.73 | (87) all_70_8 = all_52_2
% 14.17/2.73 |
% 14.17/2.73 | GROUND_INST: instantiating (13) with all_70_8, all_74_9, xx, simplifying with
% 14.17/2.73 | (61), (75) gives:
% 14.17/2.73 | (88) all_74_9 = all_70_8
% 14.17/2.73 |
% 14.17/2.73 | GROUND_INST: instantiating (13) with all_50_2, all_74_9, xx, simplifying with
% 14.17/2.73 | (52), (75) gives:
% 14.17/2.73 | (89) all_74_9 = all_50_2
% 14.17/2.73 |
% 14.17/2.73 | GROUND_INST: instantiating (13) with all_52_1, all_72_8, xy, simplifying with
% 14.17/2.73 | (56), (68) gives:
% 14.17/2.73 | (90) all_72_8 = all_52_1
% 14.17/2.73 |
% 14.17/2.73 | GROUND_INST: instantiating (13) with all_40_2, all_72_8, xy, simplifying with
% 14.17/2.73 | (41), (68) gives:
% 14.17/2.73 | (91) all_72_8 = all_40_2
% 14.17/2.73 |
% 14.17/2.73 | GROUND_INST: instantiating (13) with 0, all_74_8, xy, simplifying with (5),
% 14.17/2.73 | (76) gives:
% 14.17/2.73 | (92) all_74_8 = 0
% 14.17/2.73 |
% 14.17/2.73 | GROUND_INST: instantiating (13) with all_52_1, all_74_8, xy, simplifying with
% 14.17/2.73 | (56), (76) gives:
% 14.17/2.73 | (93) all_74_8 = all_52_1
% 14.17/2.73 |
% 14.17/2.73 | GROUND_INST: instantiating (13) with all_48_2, all_74_8, xy, simplifying with
% 14.17/2.74 | (49), (76) gives:
% 14.17/2.74 | (94) all_74_8 = all_48_2
% 14.17/2.74 |
% 14.17/2.74 | GROUND_INST: instantiating (13) with 0, all_70_7, xu, simplifying with (6),
% 14.17/2.74 | (62) gives:
% 14.17/2.74 | (95) all_70_7 = 0
% 14.17/2.74 |
% 14.17/2.74 | GROUND_INST: instantiating (13) with all_48_1, all_70_7, xu, simplifying with
% 14.17/2.74 | (50), (62) gives:
% 14.17/2.74 | (96) all_70_7 = all_48_1
% 14.17/2.74 |
% 14.17/2.74 | GROUND_INST: instantiating (13) with all_48_1, all_72_7, xu, simplifying with
% 14.17/2.74 | (50), (69) gives:
% 14.17/2.74 | (97) all_72_7 = all_48_1
% 14.17/2.74 |
% 14.17/2.74 | GROUND_INST: instantiating (13) with all_44_2, all_72_7, xu, simplifying with
% 14.17/2.74 | (44), (69) gives:
% 14.17/2.74 | (98) all_72_7 = all_44_2
% 14.17/2.74 |
% 14.17/2.74 | GROUND_INST: instantiating (13) with all_72_7, all_76_8, xu, simplifying with
% 14.17/2.74 | (69), (83) gives:
% 14.17/2.74 | (99) all_76_8 = all_72_7
% 14.17/2.74 |
% 14.17/2.74 | GROUND_INST: instantiating (13) with all_50_1, all_76_8, xu, simplifying with
% 14.17/2.74 | (53), (83) gives:
% 14.17/2.74 | (100) all_76_8 = all_50_1
% 14.17/2.74 |
% 14.17/2.74 | GROUND_INST: instantiating (13) with all_44_1, all_54_1, xv, simplifying with
% 14.17/2.74 | (45), (59) gives:
% 14.17/2.74 | (101) all_54_1 = all_44_1
% 14.17/2.74 |
% 14.17/2.74 | GROUND_INST: instantiating (13) with 0, all_70_6, xv, simplifying with (7),
% 14.17/2.74 | (63) gives:
% 14.17/2.74 | (102) all_70_6 = 0
% 14.17/2.74 |
% 14.17/2.74 | GROUND_INST: instantiating (13) with all_44_1, all_70_6, xv, simplifying with
% 14.17/2.74 | (45), (63) gives:
% 14.17/2.74 | (103) all_70_6 = all_44_1
% 14.17/2.74 |
% 14.17/2.74 | GROUND_INST: instantiating (13) with all_72_6, all_76_7, xv, simplifying with
% 14.17/2.74 | (70), (84) gives:
% 14.17/2.74 | (104) all_76_7 = all_72_6
% 14.17/2.74 |
% 14.17/2.74 | GROUND_INST: instantiating (13) with all_54_1, all_76_7, xv, simplifying with
% 14.17/2.74 | (59), (84) gives:
% 14.17/2.74 | (105) all_76_7 = all_54_1
% 14.17/2.74 |
% 14.17/2.74 | GROUND_INST: instantiating (13) with all_40_1, all_76_7, xv, simplifying with
% 14.17/2.74 | (42), (84) gives:
% 14.17/2.74 | (106) all_76_7 = all_40_1
% 14.17/2.74 |
% 14.17/2.74 | GROUND_INST: instantiating (13) with all_44_0, all_74_7, all_13_8, simplifying
% 14.17/2.74 | with (46), (77) gives:
% 14.17/2.74 | (107) all_74_7 = all_44_0
% 14.17/2.74 |
% 14.17/2.74 | GROUND_INST: instantiating (14) with all_13_8, all_72_5, xv, xu, simplifying
% 14.17/2.74 | with (21), (71) gives:
% 14.17/2.74 | (108) all_72_5 = all_13_8
% 14.17/2.74 |
% 14.17/2.74 | GROUND_INST: instantiating (14) with all_70_5, all_72_5, xv, xu, simplifying
% 14.17/2.74 | with (64), (71) gives:
% 14.17/2.74 | (109) all_72_5 = all_70_5
% 14.17/2.74 |
% 14.17/2.74 | COMBINE_EQS: (104), (105) imply:
% 14.17/2.74 | (110) all_72_6 = all_54_1
% 14.17/2.74 |
% 14.17/2.74 | COMBINE_EQS: (104), (106) imply:
% 14.17/2.74 | (111) all_72_6 = all_40_1
% 14.17/2.74 |
% 14.17/2.74 | COMBINE_EQS: (99), (100) imply:
% 14.17/2.74 | (112) all_72_7 = all_50_1
% 14.17/2.74 |
% 14.17/2.74 | SIMP: (112) implies:
% 14.17/2.74 | (113) all_72_7 = all_50_1
% 14.17/2.74 |
% 14.17/2.74 | COMBINE_EQS: (93), (94) imply:
% 14.17/2.74 | (114) all_52_1 = all_48_2
% 14.17/2.74 |
% 14.17/2.74 | SIMP: (114) implies:
% 14.17/2.74 | (115) all_52_1 = all_48_2
% 14.17/2.74 |
% 14.17/2.74 | COMBINE_EQS: (92), (94) imply:
% 14.17/2.74 | (116) all_48_2 = 0
% 14.17/2.74 |
% 14.17/2.74 | COMBINE_EQS: (88), (89) imply:
% 14.17/2.74 | (117) all_70_8 = all_50_2
% 14.17/2.74 |
% 14.17/2.74 | SIMP: (117) implies:
% 14.17/2.74 | (118) all_70_8 = all_50_2
% 14.17/2.74 |
% 14.17/2.74 | COMBINE_EQS: (108), (109) imply:
% 14.17/2.74 | (119) all_70_5 = all_13_8
% 14.17/2.74 |
% 14.17/2.74 | COMBINE_EQS: (110), (111) imply:
% 14.17/2.74 | (120) all_54_1 = all_40_1
% 14.17/2.74 |
% 14.17/2.74 | SIMP: (120) implies:
% 14.17/2.74 | (121) all_54_1 = all_40_1
% 14.17/2.74 |
% 14.17/2.74 | COMBINE_EQS: (98), (113) imply:
% 14.17/2.74 | (122) all_50_1 = all_44_2
% 14.17/2.74 |
% 14.17/2.74 | COMBINE_EQS: (97), (113) imply:
% 14.17/2.74 | (123) all_50_1 = all_48_1
% 14.17/2.74 |
% 14.17/2.74 | COMBINE_EQS: (90), (91) imply:
% 14.17/2.74 | (124) all_52_1 = all_40_2
% 14.17/2.74 |
% 14.17/2.74 | SIMP: (124) implies:
% 14.17/2.74 | (125) all_52_1 = all_40_2
% 14.17/2.74 |
% 14.17/2.74 | COMBINE_EQS: (102), (103) imply:
% 14.17/2.74 | (126) all_44_1 = 0
% 14.17/2.74 |
% 14.17/2.74 | SIMP: (126) implies:
% 14.17/2.74 | (127) all_44_1 = 0
% 14.17/2.74 |
% 14.17/2.74 | COMBINE_EQS: (95), (96) imply:
% 14.17/2.74 | (128) all_48_1 = 0
% 14.17/2.74 |
% 14.17/2.74 | SIMP: (128) implies:
% 14.17/2.74 | (129) all_48_1 = 0
% 14.17/2.74 |
% 14.17/2.74 | COMBINE_EQS: (86), (87) imply:
% 14.17/2.74 | (130) all_54_2 = all_52_2
% 14.17/2.74 |
% 14.17/2.74 | SIMP: (130) implies:
% 14.17/2.74 | (131) all_54_2 = all_52_2
% 14.17/2.74 |
% 14.17/2.74 | COMBINE_EQS: (87), (118) imply:
% 14.17/2.74 | (132) all_52_2 = all_50_2
% 14.17/2.74 |
% 14.17/2.74 | COMBINE_EQS: (101), (121) imply:
% 14.17/2.74 | (133) all_44_1 = all_40_1
% 14.17/2.74 |
% 14.17/2.74 | SIMP: (133) implies:
% 14.17/2.74 | (134) all_44_1 = all_40_1
% 14.17/2.74 |
% 14.17/2.74 | COMBINE_EQS: (85), (131) imply:
% 14.17/2.74 | (135) all_52_2 = 0
% 14.17/2.74 |
% 14.17/2.74 | SIMP: (135) implies:
% 14.17/2.74 | (136) all_52_2 = 0
% 14.17/2.74 |
% 14.17/2.74 | COMBINE_EQS: (115), (125) imply:
% 14.17/2.74 | (137) all_48_2 = all_40_2
% 14.17/2.74 |
% 14.17/2.74 | SIMP: (137) implies:
% 14.17/2.74 | (138) all_48_2 = all_40_2
% 14.17/2.74 |
% 14.17/2.74 | COMBINE_EQS: (132), (136) imply:
% 14.17/2.74 | (139) all_50_2 = 0
% 14.17/2.74 |
% 14.17/2.74 | SIMP: (139) implies:
% 14.17/2.74 | (140) all_50_2 = 0
% 14.17/2.74 |
% 14.17/2.74 | COMBINE_EQS: (122), (123) imply:
% 14.17/2.74 | (141) all_48_1 = all_44_2
% 14.17/2.74 |
% 14.17/2.74 | SIMP: (141) implies:
% 14.17/2.74 | (142) all_48_1 = all_44_2
% 14.17/2.74 |
% 14.17/2.74 | COMBINE_EQS: (129), (142) imply:
% 14.17/2.74 | (143) all_44_2 = 0
% 14.17/2.74 |
% 14.17/2.74 | SIMP: (143) implies:
% 14.17/2.74 | (144) all_44_2 = 0
% 14.17/2.74 |
% 14.17/2.74 | COMBINE_EQS: (116), (138) imply:
% 14.17/2.74 | (145) all_40_2 = 0
% 14.17/2.74 |
% 14.17/2.74 | SIMP: (145) implies:
% 14.17/2.74 | (146) all_40_2 = 0
% 14.17/2.74 |
% 14.17/2.74 | COMBINE_EQS: (127), (134) imply:
% 14.17/2.74 | (147) all_40_1 = 0
% 14.17/2.74 |
% 14.17/2.74 | SIMP: (147) implies:
% 14.17/2.74 | (148) all_40_1 = 0
% 14.17/2.74 |
% 14.17/2.74 | COMBINE_EQS: (122), (144) imply:
% 14.17/2.74 | (149) all_50_1 = 0
% 14.17/2.74 |
% 14.17/2.74 | COMBINE_EQS: (87), (136) imply:
% 14.17/2.74 | (150) all_70_8 = 0
% 14.17/2.74 |
% 14.17/2.74 | COMBINE_EQS: (91), (146) imply:
% 14.17/2.74 | (151) all_72_8 = 0
% 14.17/2.74 |
% 14.17/2.74 | COMBINE_EQS: (113), (149) imply:
% 14.17/2.74 | (152) all_72_7 = 0
% 14.17/2.75 |
% 14.17/2.75 | COMBINE_EQS: (111), (148) imply:
% 14.17/2.75 | (153) all_72_6 = 0
% 14.17/2.75 |
% 14.17/2.75 | COMBINE_EQS: (89), (140) imply:
% 14.17/2.75 | (154) all_74_9 = 0
% 14.17/2.75 |
% 14.17/2.75 | REDUCE: (72), (108) imply:
% 14.17/2.75 | (155) sdtasdt0(xy, all_13_8) = all_72_4
% 14.17/2.75 |
% 14.17/2.75 | REDUCE: (65), (119) imply:
% 14.17/2.75 | (156) sdtasdt0(xx, all_13_8) = all_70_4
% 14.17/2.75 |
% 14.17/2.75 | BETA: splitting (47) gives:
% 14.17/2.75 |
% 14.17/2.75 | Case 1:
% 14.17/2.75 | |
% 14.17/2.75 | | (157) ~ (all_44_1 = 0)
% 14.17/2.75 | |
% 14.17/2.75 | | REDUCE: (127), (157) imply:
% 14.17/2.75 | | (158) $false
% 14.17/2.75 | |
% 14.17/2.75 | | CLOSE: (158) is inconsistent.
% 14.17/2.75 | |
% 14.17/2.75 | Case 2:
% 14.17/2.75 | |
% 14.17/2.75 | | (159) ~ (all_44_2 = 0) | all_44_0 = 0
% 14.17/2.75 | |
% 14.17/2.75 | | BETA: splitting (66) gives:
% 14.17/2.75 | |
% 14.17/2.75 | | Case 1:
% 14.17/2.75 | | |
% 14.17/2.75 | | | (160) ~ (all_70_6 = 0)
% 14.17/2.75 | | |
% 14.17/2.75 | | | REDUCE: (102), (160) imply:
% 14.17/2.75 | | | (161) $false
% 14.17/2.75 | | |
% 14.17/2.75 | | | CLOSE: (161) is inconsistent.
% 14.17/2.75 | | |
% 14.17/2.75 | | Case 2:
% 14.17/2.75 | | |
% 14.17/2.75 | | | (162) ~ (all_70_7 = 0) | ~ (all_70_8 = 0) | (all_70_0 = all_70_2 &
% 14.17/2.75 | | | all_70_4 = all_13_4)
% 14.17/2.75 | | |
% 14.17/2.75 | | | BETA: splitting (162) gives:
% 14.17/2.75 | | |
% 14.17/2.75 | | | Case 1:
% 14.17/2.75 | | | |
% 14.17/2.75 | | | | (163) ~ (all_70_7 = 0)
% 14.17/2.75 | | | |
% 14.17/2.75 | | | | REDUCE: (95), (163) imply:
% 14.17/2.75 | | | | (164) $false
% 14.17/2.75 | | | |
% 14.17/2.75 | | | | CLOSE: (164) is inconsistent.
% 14.17/2.75 | | | |
% 14.17/2.75 | | | Case 2:
% 14.17/2.75 | | | |
% 14.17/2.75 | | | | (165) ~ (all_70_8 = 0) | (all_70_0 = all_70_2 & all_70_4 = all_13_4)
% 14.17/2.75 | | | |
% 14.17/2.75 | | | | BETA: splitting (159) gives:
% 14.17/2.75 | | | |
% 14.17/2.75 | | | | Case 1:
% 14.17/2.75 | | | | |
% 14.17/2.75 | | | | | (166) ~ (all_44_2 = 0)
% 14.17/2.75 | | | | |
% 14.17/2.75 | | | | | REDUCE: (144), (166) imply:
% 14.17/2.75 | | | | | (167) $false
% 14.17/2.75 | | | | |
% 14.17/2.75 | | | | | CLOSE: (167) is inconsistent.
% 14.17/2.75 | | | | |
% 14.17/2.75 | | | | Case 2:
% 14.17/2.75 | | | | |
% 14.17/2.75 | | | | | (168) all_44_0 = 0
% 14.17/2.75 | | | | |
% 14.17/2.75 | | | | | COMBINE_EQS: (107), (168) imply:
% 14.17/2.75 | | | | | (169) all_74_7 = 0
% 14.17/2.75 | | | | |
% 14.17/2.75 | | | | | BETA: splitting (81) gives:
% 14.17/2.75 | | | | |
% 14.17/2.75 | | | | | Case 1:
% 14.17/2.75 | | | | | |
% 14.17/2.75 | | | | | | (170) ~ (all_74_7 = 0)
% 14.17/2.75 | | | | | |
% 14.17/2.75 | | | | | | REDUCE: (169), (170) imply:
% 14.17/2.75 | | | | | | (171) $false
% 14.17/2.75 | | | | | |
% 14.17/2.75 | | | | | | CLOSE: (171) is inconsistent.
% 14.17/2.75 | | | | | |
% 14.17/2.75 | | | | | Case 2:
% 14.17/2.75 | | | | | |
% 14.17/2.75 | | | | | | (172) ~ (all_74_8 = 0) | ~ (all_74_9 = 0) | (all_74_0 =
% 14.17/2.75 | | | | | | all_13_7 & all_74_2 = all_74_5)
% 14.17/2.75 | | | | | |
% 14.17/2.75 | | | | | | BETA: splitting (73) gives:
% 14.17/2.75 | | | | | |
% 14.17/2.75 | | | | | | Case 1:
% 14.17/2.75 | | | | | | |
% 14.17/2.75 | | | | | | | (173) ~ (all_72_6 = 0)
% 14.17/2.75 | | | | | | |
% 14.17/2.75 | | | | | | | REDUCE: (153), (173) imply:
% 14.17/2.75 | | | | | | | (174) $false
% 14.17/2.75 | | | | | | |
% 14.17/2.75 | | | | | | | CLOSE: (174) is inconsistent.
% 14.17/2.75 | | | | | | |
% 14.17/2.75 | | | | | | Case 2:
% 14.17/2.75 | | | | | | |
% 14.17/2.75 | | | | | | | (175) ~ (all_72_7 = 0) | ~ (all_72_8 = 0) | (all_72_0 =
% 14.17/2.75 | | | | | | | all_72_2 & all_72_4 = all_13_1)
% 14.17/2.75 | | | | | | |
% 14.17/2.75 | | | | | | | BETA: splitting (175) gives:
% 14.17/2.75 | | | | | | |
% 14.17/2.75 | | | | | | | Case 1:
% 14.17/2.75 | | | | | | | |
% 14.17/2.75 | | | | | | | | (176) ~ (all_72_7 = 0)
% 14.17/2.75 | | | | | | | |
% 14.17/2.75 | | | | | | | | REDUCE: (152), (176) imply:
% 14.17/2.75 | | | | | | | | (177) $false
% 14.17/2.75 | | | | | | | |
% 14.17/2.75 | | | | | | | | CLOSE: (177) is inconsistent.
% 14.17/2.75 | | | | | | | |
% 14.17/2.75 | | | | | | | Case 2:
% 14.17/2.75 | | | | | | | |
% 14.17/2.75 | | | | | | | | (178) ~ (all_72_8 = 0) | (all_72_0 = all_72_2 & all_72_4 =
% 14.17/2.75 | | | | | | | | all_13_1)
% 14.17/2.75 | | | | | | | |
% 14.17/2.75 | | | | | | | | BETA: splitting (165) gives:
% 14.17/2.75 | | | | | | | |
% 14.17/2.75 | | | | | | | | Case 1:
% 14.17/2.75 | | | | | | | | |
% 14.17/2.75 | | | | | | | | | (179) ~ (all_70_8 = 0)
% 14.17/2.75 | | | | | | | | |
% 14.17/2.75 | | | | | | | | | REDUCE: (150), (179) imply:
% 14.17/2.75 | | | | | | | | | (180) $false
% 14.17/2.75 | | | | | | | | |
% 14.17/2.75 | | | | | | | | | CLOSE: (180) is inconsistent.
% 14.17/2.75 | | | | | | | | |
% 14.17/2.75 | | | | | | | | Case 2:
% 14.17/2.75 | | | | | | | | |
% 14.17/2.75 | | | | | | | | | (181) all_70_0 = all_70_2 & all_70_4 = all_13_4
% 14.17/2.75 | | | | | | | | |
% 14.17/2.75 | | | | | | | | | ALPHA: (181) implies:
% 14.17/2.75 | | | | | | | | | (182) all_70_4 = all_13_4
% 14.17/2.75 | | | | | | | | |
% 14.17/2.75 | | | | | | | | | REDUCE: (156), (182) imply:
% 14.17/2.75 | | | | | | | | | (183) sdtasdt0(xx, all_13_8) = all_13_4
% 14.17/2.75 | | | | | | | | |
% 14.17/2.75 | | | | | | | | | BETA: splitting (178) gives:
% 14.17/2.75 | | | | | | | | |
% 14.17/2.75 | | | | | | | | | Case 1:
% 14.17/2.75 | | | | | | | | | |
% 14.17/2.75 | | | | | | | | | | (184) ~ (all_72_8 = 0)
% 14.17/2.75 | | | | | | | | | |
% 14.17/2.75 | | | | | | | | | | REDUCE: (151), (184) imply:
% 14.17/2.75 | | | | | | | | | | (185) $false
% 14.17/2.75 | | | | | | | | | |
% 14.17/2.75 | | | | | | | | | | CLOSE: (185) is inconsistent.
% 14.17/2.75 | | | | | | | | | |
% 14.17/2.75 | | | | | | | | | Case 2:
% 14.17/2.75 | | | | | | | | | |
% 14.17/2.75 | | | | | | | | | | (186) all_72_0 = all_72_2 & all_72_4 = all_13_1
% 14.17/2.75 | | | | | | | | | |
% 14.17/2.75 | | | | | | | | | | ALPHA: (186) implies:
% 14.17/2.75 | | | | | | | | | | (187) all_72_4 = all_13_1
% 14.17/2.75 | | | | | | | | | |
% 14.17/2.75 | | | | | | | | | | REDUCE: (155), (187) imply:
% 14.17/2.75 | | | | | | | | | | (188) sdtasdt0(xy, all_13_8) = all_13_1
% 14.17/2.75 | | | | | | | | | |
% 14.17/2.75 | | | | | | | | | | BETA: splitting (172) gives:
% 14.17/2.75 | | | | | | | | | |
% 14.17/2.75 | | | | | | | | | | Case 1:
% 14.17/2.75 | | | | | | | | | | |
% 14.17/2.75 | | | | | | | | | | | (189) ~ (all_74_8 = 0)
% 14.17/2.75 | | | | | | | | | | |
% 14.17/2.75 | | | | | | | | | | | REDUCE: (92), (189) imply:
% 14.17/2.75 | | | | | | | | | | | (190) $false
% 14.17/2.75 | | | | | | | | | | |
% 14.17/2.75 | | | | | | | | | | | CLOSE: (190) is inconsistent.
% 14.17/2.75 | | | | | | | | | | |
% 14.17/2.75 | | | | | | | | | | Case 2:
% 14.17/2.75 | | | | | | | | | | |
% 14.17/2.75 | | | | | | | | | | | (191) ~ (all_74_9 = 0) | (all_74_0 = all_13_7 &
% 14.17/2.75 | | | | | | | | | | | all_74_2 = all_74_5)
% 14.17/2.75 | | | | | | | | | | |
% 14.17/2.75 | | | | | | | | | | | BETA: splitting (191) gives:
% 14.17/2.75 | | | | | | | | | | |
% 14.17/2.75 | | | | | | | | | | | Case 1:
% 14.17/2.75 | | | | | | | | | | | |
% 14.17/2.75 | | | | | | | | | | | | (192) ~ (all_74_9 = 0)
% 14.17/2.75 | | | | | | | | | | | |
% 14.17/2.75 | | | | | | | | | | | | REDUCE: (154), (192) imply:
% 14.17/2.75 | | | | | | | | | | | | (193) $false
% 14.17/2.75 | | | | | | | | | | | |
% 14.17/2.75 | | | | | | | | | | | | CLOSE: (193) is inconsistent.
% 14.17/2.75 | | | | | | | | | | | |
% 14.17/2.75 | | | | | | | | | | | Case 2:
% 14.17/2.75 | | | | | | | | | | | |
% 14.17/2.75 | | | | | | | | | | | | (194) all_74_0 = all_13_7 & all_74_2 = all_74_5
% 14.17/2.75 | | | | | | | | | | | |
% 14.17/2.75 | | | | | | | | | | | | ALPHA: (194) implies:
% 14.17/2.75 | | | | | | | | | | | | (195) all_74_0 = all_13_7
% 14.17/2.75 | | | | | | | | | | | |
% 14.17/2.75 | | | | | | | | | | | | REDUCE: (78), (195) imply:
% 14.17/2.75 | | | | | | | | | | | | (196) sdtpldt0(all_74_3, all_74_1) = all_13_7
% 14.17/2.75 | | | | | | | | | | | |
% 14.17/2.75 | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_74_3, all_13_4,
% 14.17/2.75 | | | | | | | | | | | | all_13_8, xx, simplifying with (79), (183) gives:
% 14.17/2.75 | | | | | | | | | | | | (197) all_74_3 = all_13_4
% 14.17/2.75 | | | | | | | | | | | |
% 14.17/2.75 | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_74_1, all_13_1,
% 14.17/2.75 | | | | | | | | | | | | all_13_8, xy, simplifying with (80), (188) gives:
% 14.17/2.75 | | | | | | | | | | | | (198) all_74_1 = all_13_1
% 14.17/2.75 | | | | | | | | | | | |
% 14.17/2.75 | | | | | | | | | | | | REDUCE: (196), (197), (198) imply:
% 14.17/2.75 | | | | | | | | | | | | (199) sdtpldt0(all_13_4, all_13_1) = all_13_7
% 14.17/2.75 | | | | | | | | | | | |
% 14.17/2.75 | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_13_0, all_13_7,
% 14.17/2.75 | | | | | | | | | | | | all_13_1, all_13_4, simplifying with (23), (199)
% 14.17/2.75 | | | | | | | | | | | | gives:
% 14.17/2.75 | | | | | | | | | | | | (200) all_13_0 = all_13_7
% 14.17/2.75 | | | | | | | | | | | |
% 14.17/2.75 | | | | | | | | | | | | REDUCE: (17), (200) imply:
% 14.17/2.75 | | | | | | | | | | | | (201) $false
% 14.17/2.75 | | | | | | | | | | | |
% 14.17/2.75 | | | | | | | | | | | | CLOSE: (201) is inconsistent.
% 14.17/2.75 | | | | | | | | | | | |
% 14.17/2.75 | | | | | | | | | | | End of split
% 14.17/2.75 | | | | | | | | | | |
% 14.17/2.75 | | | | | | | | | | End of split
% 14.17/2.75 | | | | | | | | | |
% 14.17/2.75 | | | | | | | | | End of split
% 14.17/2.75 | | | | | | | | |
% 14.17/2.75 | | | | | | | | End of split
% 14.17/2.75 | | | | | | | |
% 14.17/2.75 | | | | | | | End of split
% 14.17/2.75 | | | | | | |
% 14.17/2.75 | | | | | | End of split
% 14.17/2.75 | | | | | |
% 14.17/2.75 | | | | | End of split
% 14.17/2.75 | | | | |
% 14.17/2.75 | | | | End of split
% 14.17/2.75 | | | |
% 14.17/2.75 | | | End of split
% 14.17/2.75 | | |
% 14.17/2.75 | | End of split
% 14.17/2.75 | |
% 14.17/2.75 | End of split
% 14.17/2.75 |
% 14.17/2.76 End of proof
% 14.17/2.76 % SZS output end Proof for theBenchmark
% 14.17/2.76
% 14.17/2.76 2154ms
%------------------------------------------------------------------------------