%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : NUM473+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 : n022.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Thu Aug 31 11:48:00 EDT 2023 % Result : Theorem 12.11s 2.38s % Output : Proof 38.68s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM473+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 : n022.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 : Fri Aug 25 13:58:10 EDT 2023 % 0.12/0.34 % 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 % 0.20/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.62 Running up to 7 provers in parallel. % 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 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 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 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 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 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 % 3.26/1.20 Prover 4: Preprocessing ... % 3.26/1.20 Prover 1: Preprocessing ... % 3.62/1.24 Prover 3: Preprocessing ... % 3.62/1.24 Prover 0: Preprocessing ... % 3.62/1.24 Prover 5: Preprocessing ... % 3.62/1.24 Prover 6: Preprocessing ... % 3.62/1.25 Prover 2: Preprocessing ... % 8.39/1.86 Prover 3: Constructing countermodel ... % 8.39/1.87 Prover 1: Constructing countermodel ... % 8.73/1.90 Prover 6: Proving ... % 9.13/2.03 Prover 5: Constructing countermodel ... % 9.13/2.14 Prover 2: Proving ... % 11.05/2.22 Prover 4: Constructing countermodel ... % 11.45/2.27 Prover 0: Proving ... % 12.11/2.37 Prover 3: proved (1743ms) % 12.11/2.37 % 12.11/2.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 12.11/2.38 % 12.11/2.38 Prover 6: stopped % 12.11/2.38 Prover 2: stopped % 12.37/2.39 Prover 0: stopped % 12.37/2.40 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 12.37/2.40 Prover 5: stopped % 12.37/2.40 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 12.37/2.40 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 12.37/2.40 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 12.37/2.40 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 12.86/2.48 Prover 7: Preprocessing ... % 12.86/2.49 Prover 13: Preprocessing ... % 13.31/2.53 Prover 8: Preprocessing ... % 13.31/2.54 Prover 10: Preprocessing ... % 13.31/2.54 Prover 11: Preprocessing ... % 14.31/2.66 Prover 10: Constructing countermodel ... % 14.58/2.69 Prover 7: Constructing countermodel ... % 14.58/2.69 Prover 8: Warning: ignoring some quantifiers % 14.58/2.71 Prover 8: Constructing countermodel ... % 14.58/2.74 Prover 13: Constructing countermodel ... % 16.17/2.95 Prover 11: Constructing countermodel ... % 36.06/5.70 Prover 1: Found proof (size 650) % 36.06/5.70 Prover 1: proved (5074ms) % 36.06/5.70 Prover 4: stopped % 36.06/5.70 Prover 11: stopped % 36.06/5.70 Prover 7: stopped % 36.06/5.70 Prover 8: stopped % 36.06/5.70 Prover 10: stopped % 36.06/5.71 Prover 13: stopped % 36.06/5.71 % 36.06/5.71 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 36.06/5.71 % 36.96/5.76 % SZS output start Proof for theBenchmark % 36.96/5.77 Assumptions after simplification: % 36.96/5.77 --------------------------------- % 36.96/5.77 % 36.96/5.77 (mAddComm) % 36.96/5.80 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ % 36.96/5.80 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] : % 36.96/5.80 (sdtpldt0(v1, v0) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 % 36.96/5.80 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2))) % 36.96/5.80 % 36.96/5.80 (mDefDiv) % 36.96/5.80 ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~ (doDivides0(v0, v1) = v2) | ~ % 36.96/5.80 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : (aNaturalNumber0(v1) = v4 % 36.96/5.80 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))) | (( ~ (v2 = 0) % 36.96/5.80 | ? [v3: $i] : (sdtasdt0(v0, v3) = v1 & aNaturalNumber0(v3) = 0 & % 36.96/5.80 $i(v3))) & (v2 = 0 | ! [v3: $i] : ( ~ (sdtasdt0(v0, v3) = v1) | ~ % 36.96/5.80 $i(v3) | ? [v4: int] : ( ~ (v4 = 0) & aNaturalNumber0(v3) = v4))))) % 36.96/5.80 % 36.96/5.80 (mDefLE) % 36.96/5.80 ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~ (sdtlseqdt0(v0, v1) = v2) | ~ % 36.96/5.80 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : (aNaturalNumber0(v1) = v4 % 36.96/5.80 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))) | (( ~ (v2 = 0) % 36.96/5.80 | ? [v3: $i] : (sdtpldt0(v0, v3) = v1 & aNaturalNumber0(v3) = 0 & % 36.96/5.80 $i(v3))) & (v2 = 0 | ! [v3: $i] : ( ~ (sdtpldt0(v0, v3) = v1) | ~ % 36.96/5.80 $i(v3) | ? [v4: int] : ( ~ (v4 = 0) & aNaturalNumber0(v3) = v4))))) % 36.96/5.80 % 36.96/5.80 (mDefQuot) % 36.96/5.81 $i(sz00) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v0 = sz00 | ~ % 36.96/5.81 (sdtsldt0(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: % 36.96/5.81 any] : ? [v5: any] : (doDivides0(v0, v1) = v5 & aNaturalNumber0(v1) = v4 % 36.96/5.81 & aNaturalNumber0(v0) = v3 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0))) | % 36.96/5.81 ( ! [v3: $i] : (v3 = v2 | ~ (sdtasdt0(v0, v3) = v1) | ~ $i(v3) | ? [v4: % 36.96/5.81 int] : ( ~ (v4 = 0) & aNaturalNumber0(v3) = v4)) & ! [v3: $i] : ( ~ % 36.96/5.81 (sdtasdt0(v0, v2) = v3) | ~ $i(v2) | (v3 = v1 & aNaturalNumber0(v2) = % 36.96/5.81 0)))) % 36.96/5.81 % 36.96/5.81 (mLEAsym) % 36.96/5.81 ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (sdtlseqdt0(v0, v1) = 0) | ~ $i(v1) % 36.96/5.81 | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] : (sdtlseqdt0(v1, % 36.96/5.81 v0) = v4 & aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v4 % 36.96/5.81 = 0) | ~ (v3 = 0) | ~ (v2 = 0)))) % 36.96/5.81 % 36.96/5.81 (mLETotal) % 36.96/5.81 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (sdtlseqdt0(v0, v1) = % 36.96/5.81 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : % 36.96/5.81 (sdtlseqdt0(v1, v0) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = % 36.96/5.81 v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | (v5 = 0 & ~ (v1 = v0))))) % 36.96/5.81 % 36.96/5.81 (mMonMul) % 36.96/5.81 $i(sz00) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] % 36.96/5.81 : ! [v5: any] : (v2 = v1 | v0 = sz00 | ~ (sdtlseqdt0(v3, v4) = v5) | ~ % 36.96/5.81 (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) % 36.96/5.81 | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: any] : ? % 36.96/5.81 [v10: $i] : ? [v11: $i] : ? [v12: any] : (sdtlseqdt0(v10, v11) = v12 & % 36.96/5.81 sdtlseqdt0(v1, v2) = v9 & sdtasdt0(v2, v0) = v11 & sdtasdt0(v1, v0) = v10 % 36.96/5.81 & aNaturalNumber0(v2) = v8 & aNaturalNumber0(v1) = v7 & % 36.96/5.81 aNaturalNumber0(v0) = v6 & $i(v11) & $i(v10) & ( ~ (v9 = 0) | ~ (v8 = 0) % 36.96/5.81 | ~ (v7 = 0) | ~ (v6 = 0) | (v12 = 0 & v5 = 0 & ~ (v11 = v10) & ~ % 36.96/5.81 (v4 = v3))))) % 36.96/5.81 % 36.96/5.81 (mMulCanc) % 37.90/5.82 $i(sz00) & ! [v0: $i] : (v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) | ~ $i(v0) % 37.90/5.82 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v2 = v1 | ~ % 37.90/5.82 (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ $i(v2) | ~ % 37.90/5.82 $i(v1) | ? [v5: any] : ? [v6: any] : ? [v7: $i] : ? [v8: $i] : % 37.90/5.82 (sdtasdt0(v2, v0) = v8 & sdtasdt0(v1, v0) = v7 & aNaturalNumber0(v2) = v6 % 37.90/5.82 & aNaturalNumber0(v1) = v5 & $i(v8) & $i(v7) & ( ~ (v6 = 0) | ~ (v5 = % 37.90/5.82 0) | ( ~ (v8 = v7) & ~ (v4 = v3)))))) % 37.90/5.82 % 37.90/5.82 (mMulComm) % 37.90/5.82 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) | ~ % 37.90/5.82 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] : % 37.90/5.82 (sdtasdt0(v1, v0) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 % 37.90/5.82 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2))) % 37.90/5.82 % 37.90/5.82 (mSortsB) % 37.90/5.82 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ % 37.90/5.82 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : % 37.90/5.82 (aNaturalNumber0(v2) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = % 37.90/5.82 v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) % 37.90/5.82 % 37.90/5.82 (mSortsB_02) % 37.90/5.82 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) | ~ % 37.90/5.82 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : % 37.90/5.82 (aNaturalNumber0(v2) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = % 37.90/5.82 v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) % 37.90/5.82 % 37.90/5.82 (m__) % 37.90/5.82 $i(xq) & $i(xp) & ? [v0: int] : ( ~ (v0 = 0) & sdtlseqdt0(xp, xq) = v0 & ! % 37.90/5.82 [v1: $i] : ( ~ (sdtpldt0(xp, v1) = xq) | ~ $i(v1) | ? [v2: int] : ( ~ (v2 % 37.90/5.82 = 0) & aNaturalNumber0(v1) = v2))) % 37.90/5.82 % 37.90/5.82 (m__1324) % 37.90/5.82 aNaturalNumber0(xn) = 0 & aNaturalNumber0(xm) = 0 & aNaturalNumber0(xl) = 0 & % 37.90/5.82 $i(xn) & $i(xm) & $i(xl) % 37.90/5.82 % 37.90/5.82 (m__1324_04) % 37.90/5.82 $i(xn) & $i(xm) & $i(xl) & ? [v0: $i] : (doDivides0(xl, v0) = 0 & % 37.90/5.82 doDivides0(xl, xm) = 0 & sdtpldt0(xm, xn) = v0 & $i(v0) & ? [v1: $i] : % 37.90/5.82 (sdtasdt0(xl, v1) = v0 & aNaturalNumber0(v1) = 0 & $i(v1)) & ? [v1: $i] : % 37.90/5.82 (sdtasdt0(xl, v1) = xm & aNaturalNumber0(v1) = 0 & $i(v1))) % 37.90/5.82 % 37.90/5.82 (m__1347) % 37.90/5.82 ~ (xl = sz00) & $i(xl) & $i(sz00) % 37.90/5.82 % 37.90/5.82 (m__1360) % 37.90/5.82 sdtsldt0(xm, xl) = xp & sdtasdt0(xl, xp) = xm & aNaturalNumber0(xp) = 0 & % 37.90/5.82 $i(xp) & $i(xm) & $i(xl) % 37.90/5.82 % 37.90/5.82 (m__1379) % 37.90/5.82 $i(xq) & $i(xn) & $i(xm) & $i(xl) & ? [v0: $i] : (sdtsldt0(v0, xl) = xq & % 37.90/5.82 sdtasdt0(xl, xq) = v0 & sdtpldt0(xm, xn) = v0 & aNaturalNumber0(xq) = 0 & % 37.90/5.82 $i(v0)) % 37.90/5.82 % 37.90/5.82 (m__1409) % 37.90/5.82 $i(xn) & $i(xm) & ? [v0: $i] : (sdtlseqdt0(xm, v0) = 0 & sdtpldt0(xm, xn) = % 37.90/5.82 v0 & $i(v0) & ? [v1: $i] : (sdtpldt0(xm, v1) = v0 & aNaturalNumber0(v1) = 0 % 37.90/5.82 & $i(v1))) % 37.90/5.82 % 37.90/5.82 (function-axioms) % 37.90/5.83 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 37.90/5.83 (sdtsldt0(v3, v2) = v1) | ~ (sdtsldt0(v3, v2) = v0)) & ! [v0: % 37.90/5.83 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 37.90/5.83 : (v1 = v0 | ~ (doDivides0(v3, v2) = v1) | ~ (doDivides0(v3, v2) = v0)) & ! % 37.90/5.83 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 37.90/5.83 $i] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0)) & ! % 37.90/5.83 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 37.90/5.83 (sdtmndt0(v3, v2) = v1) | ~ (sdtmndt0(v3, v2) = v0)) & ! [v0: % 37.90/5.83 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 37.90/5.83 : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~ (sdtlseqdt0(v3, v2) = v0)) & ! % 37.90/5.83 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 37.90/5.83 (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0)) & ! [v0: $i] : ! % 37.90/5.83 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | % 37.90/5.83 ~ (sdtpldt0(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 37.90/5.83 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) % 37.90/5.83 | ~ (aNaturalNumber0(v2) = v0)) % 37.90/5.83 % 37.90/5.83 Further assumptions not needed in the proof: % 37.90/5.83 -------------------------------------------- % 37.90/5.83 mAMDistr, mAddAsso, mAddCanc, mDefDiff, mDivSum, mDivTrans, mIH, mIH_03, mLENTr, % 37.90/5.83 mLERefl, mLETran, mMonAdd, mMonMul2, mMulAsso, mNatSort, mSortsC, mSortsC_01, % 37.90/5.83 mZeroAdd, mZeroMul, m_AddZero, m_MulUnit, m_MulZero % 37.90/5.83 % 37.90/5.83 Those formulas are unsatisfiable: % 37.90/5.83 --------------------------------- % 37.90/5.83 % 37.90/5.83 Begin of proof % 37.90/5.83 | % 37.90/5.83 | ALPHA: (mMulCanc) implies: % 37.90/5.83 | (1) ! [v0: $i] : (v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) | ~ $i(v0) | % 37.90/5.83 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v2 = v1 | ~ % 37.90/5.83 | (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ $i(v2) | % 37.90/5.83 | ~ $i(v1) | ? [v5: any] : ? [v6: any] : ? [v7: $i] : ? [v8: $i] % 37.90/5.83 | : (sdtasdt0(v2, v0) = v8 & sdtasdt0(v1, v0) = v7 & % 37.90/5.83 | aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 & $i(v8) & % 37.90/5.83 | $i(v7) & ( ~ (v6 = 0) | ~ (v5 = 0) | ( ~ (v8 = v7) & ~ (v4 = % 37.90/5.83 | v3)))))) % 37.90/5.83 | % 37.90/5.83 | ALPHA: (mMonMul) implies: % 37.90/5.83 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 37.90/5.83 | ! [v5: any] : (v2 = v1 | v0 = sz00 | ~ (sdtlseqdt0(v3, v4) = v5) | ~ % 37.90/5.83 | (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ $i(v2) | ~ % 37.90/5.83 | $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? % 37.90/5.83 | [v9: any] : ? [v10: $i] : ? [v11: $i] : ? [v12: any] : % 37.90/5.83 | (sdtlseqdt0(v10, v11) = v12 & sdtlseqdt0(v1, v2) = v9 & sdtasdt0(v2, % 37.90/5.83 | v0) = v11 & sdtasdt0(v1, v0) = v10 & aNaturalNumber0(v2) = v8 & % 37.90/5.83 | aNaturalNumber0(v1) = v7 & aNaturalNumber0(v0) = v6 & $i(v11) & % 37.90/5.83 | $i(v10) & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | % 37.90/5.83 | (v12 = 0 & v5 = 0 & ~ (v11 = v10) & ~ (v4 = v3))))) % 37.90/5.83 | % 37.90/5.84 | ALPHA: (mDefQuot) implies: % 37.90/5.84 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v0 = sz00 | ~ (sdtsldt0(v1, % 37.90/5.84 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : % 37.90/5.84 | ? [v5: any] : (doDivides0(v0, v1) = v5 & aNaturalNumber0(v1) = v4 & % 37.90/5.84 | aNaturalNumber0(v0) = v3 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = % 37.90/5.84 | 0))) | ( ! [v3: $i] : (v3 = v2 | ~ (sdtasdt0(v0, v3) = v1) | % 37.90/5.84 | ~ $i(v3) | ? [v4: int] : ( ~ (v4 = 0) & aNaturalNumber0(v3) = % 37.90/5.84 | v4)) & ! [v3: $i] : ( ~ (sdtasdt0(v0, v2) = v3) | ~ $i(v2) | % 37.90/5.84 | (v3 = v1 & aNaturalNumber0(v2) = 0)))) % 37.90/5.84 | % 37.90/5.84 | ALPHA: (m__1324) implies: % 37.90/5.84 | (4) aNaturalNumber0(xl) = 0 % 37.90/5.84 | (5) aNaturalNumber0(xm) = 0 % 37.90/5.84 | (6) aNaturalNumber0(xn) = 0 % 37.90/5.84 | % 37.90/5.84 | ALPHA: (m__1324_04) implies: % 37.90/5.84 | (7) ? [v0: $i] : (doDivides0(xl, v0) = 0 & doDivides0(xl, xm) = 0 & % 37.90/5.84 | sdtpldt0(xm, xn) = v0 & $i(v0) & ? [v1: $i] : (sdtasdt0(xl, v1) = v0 % 37.90/5.84 | & aNaturalNumber0(v1) = 0 & $i(v1)) & ? [v1: $i] : (sdtasdt0(xl, % 37.90/5.84 | v1) = xm & aNaturalNumber0(v1) = 0 & $i(v1))) % 37.90/5.84 | % 37.90/5.84 | ALPHA: (m__1347) implies: % 37.90/5.84 | (8) ~ (xl = sz00) % 37.90/5.84 | % 37.90/5.84 | ALPHA: (m__1360) implies: % 37.90/5.84 | (9) aNaturalNumber0(xp) = 0 % 37.90/5.84 | (10) sdtasdt0(xl, xp) = xm % 37.90/5.84 | (11) sdtsldt0(xm, xl) = xp % 37.90/5.84 | % 37.90/5.84 | ALPHA: (m__1379) implies: % 37.90/5.84 | (12) $i(xl) % 37.90/5.84 | (13) ? [v0: $i] : (sdtsldt0(v0, xl) = xq & sdtasdt0(xl, xq) = v0 & % 37.90/5.84 | sdtpldt0(xm, xn) = v0 & aNaturalNumber0(xq) = 0 & $i(v0)) % 37.90/5.84 | % 37.90/5.84 | ALPHA: (m__1409) implies: % 37.90/5.84 | (14) $i(xm) % 37.90/5.84 | (15) $i(xn) % 37.90/5.84 | (16) ? [v0: $i] : (sdtlseqdt0(xm, v0) = 0 & sdtpldt0(xm, xn) = v0 & $i(v0) % 37.90/5.84 | & ? [v1: $i] : (sdtpldt0(xm, v1) = v0 & aNaturalNumber0(v1) = 0 & % 37.90/5.84 | $i(v1))) % 37.90/5.84 | % 37.90/5.84 | ALPHA: (m__) implies: % 37.90/5.84 | (17) $i(xp) % 37.90/5.84 | (18) $i(xq) % 37.90/5.84 | (19) ? [v0: int] : ( ~ (v0 = 0) & sdtlseqdt0(xp, xq) = v0 & ! [v1: $i] : % 37.90/5.84 | ( ~ (sdtpldt0(xp, v1) = xq) | ~ $i(v1) | ? [v2: int] : ( ~ (v2 = % 37.90/5.84 | 0) & aNaturalNumber0(v1) = v2))) % 37.90/5.84 | % 37.90/5.84 | ALPHA: (function-axioms) implies: % 37.90/5.84 | (20) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 37.90/5.84 | : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) = % 37.90/5.84 | v0)) % 37.90/5.84 | (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 37.90/5.84 | (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) % 37.90/5.85 | (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 37.90/5.85 | (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0)) % 37.90/5.85 | (23) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 37.90/5.85 | : ! [v3: $i] : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~ % 37.90/5.85 | (sdtlseqdt0(v3, v2) = v0)) % 37.90/5.85 | (24) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 37.90/5.85 | : ! [v3: $i] : (v1 = v0 | ~ (doDivides0(v3, v2) = v1) | ~ % 37.90/5.85 | (doDivides0(v3, v2) = v0)) % 37.90/5.85 | % 37.90/5.85 | DELTA: instantiating (13) with fresh symbol all_33_0 gives: % 37.90/5.85 | (25) sdtsldt0(all_33_0, xl) = xq & sdtasdt0(xl, xq) = all_33_0 & % 37.90/5.85 | sdtpldt0(xm, xn) = all_33_0 & aNaturalNumber0(xq) = 0 & $i(all_33_0) % 37.90/5.85 | % 37.90/5.85 | ALPHA: (25) implies: % 37.90/5.85 | (26) aNaturalNumber0(xq) = 0 % 37.90/5.85 | (27) sdtpldt0(xm, xn) = all_33_0 % 37.90/5.85 | (28) sdtasdt0(xl, xq) = all_33_0 % 37.90/5.85 | (29) sdtsldt0(all_33_0, xl) = xq % 37.90/5.85 | % 37.90/5.85 | DELTA: instantiating (19) with fresh symbol all_35_0 gives: % 37.90/5.85 | (30) ~ (all_35_0 = 0) & sdtlseqdt0(xp, xq) = all_35_0 & ! [v0: $i] : ( ~ % 37.90/5.85 | (sdtpldt0(xp, v0) = xq) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & % 37.90/5.85 | aNaturalNumber0(v0) = v1)) % 37.90/5.85 | % 37.90/5.85 | ALPHA: (30) implies: % 37.90/5.85 | (31) ~ (all_35_0 = 0) % 37.90/5.85 | (32) sdtlseqdt0(xp, xq) = all_35_0 % 37.90/5.85 | % 37.90/5.85 | DELTA: instantiating (16) with fresh symbol all_38_0 gives: % 37.90/5.85 | (33) sdtlseqdt0(xm, all_38_0) = 0 & sdtpldt0(xm, xn) = all_38_0 & % 37.90/5.85 | $i(all_38_0) & ? [v0: $i] : (sdtpldt0(xm, v0) = all_38_0 & % 37.90/5.85 | aNaturalNumber0(v0) = 0 & $i(v0)) % 37.90/5.85 | % 37.90/5.85 | ALPHA: (33) implies: % 37.90/5.85 | (34) $i(all_38_0) % 37.90/5.85 | (35) sdtpldt0(xm, xn) = all_38_0 % 37.90/5.85 | (36) sdtlseqdt0(xm, all_38_0) = 0 % 37.90/5.85 | (37) ? [v0: $i] : (sdtpldt0(xm, v0) = all_38_0 & aNaturalNumber0(v0) = 0 & % 37.90/5.85 | $i(v0)) % 37.90/5.85 | % 37.90/5.85 | DELTA: instantiating (7) with fresh symbol all_40_0 gives: % 37.90/5.85 | (38) doDivides0(xl, all_40_0) = 0 & doDivides0(xl, xm) = 0 & sdtpldt0(xm, % 37.90/5.85 | xn) = all_40_0 & $i(all_40_0) & ? [v0: $i] : (sdtasdt0(xl, v0) = % 37.90/5.85 | all_40_0 & aNaturalNumber0(v0) = 0 & $i(v0)) & ? [v0: $i] : % 37.90/5.85 | (sdtasdt0(xl, v0) = xm & aNaturalNumber0(v0) = 0 & $i(v0)) % 37.90/5.85 | % 37.90/5.85 | ALPHA: (38) implies: % 37.90/5.85 | (39) sdtpldt0(xm, xn) = all_40_0 % 37.90/5.85 | (40) doDivides0(xl, all_40_0) = 0 % 37.90/5.85 | (41) ? [v0: $i] : (sdtasdt0(xl, v0) = xm & aNaturalNumber0(v0) = 0 & % 37.90/5.85 | $i(v0)) % 37.90/5.85 | (42) ? [v0: $i] : (sdtasdt0(xl, v0) = all_40_0 & aNaturalNumber0(v0) = 0 & % 37.90/5.85 | $i(v0)) % 37.90/5.85 | % 37.90/5.85 | DELTA: instantiating (37) with fresh symbol all_42_0 gives: % 37.90/5.85 | (43) sdtpldt0(xm, all_42_0) = all_38_0 & aNaturalNumber0(all_42_0) = 0 & % 37.90/5.85 | $i(all_42_0) % 37.90/5.85 | % 37.90/5.85 | ALPHA: (43) implies: % 37.90/5.85 | (44) $i(all_42_0) % 37.90/5.85 | (45) sdtpldt0(xm, all_42_0) = all_38_0 % 37.90/5.85 | % 37.90/5.86 | DELTA: instantiating (41) with fresh symbol all_44_0 gives: % 37.90/5.86 | (46) sdtasdt0(xl, all_44_0) = xm & aNaturalNumber0(all_44_0) = 0 & % 37.90/5.86 | $i(all_44_0) % 37.90/5.86 | % 37.90/5.86 | ALPHA: (46) implies: % 37.90/5.86 | (47) $i(all_44_0) % 37.90/5.86 | (48) aNaturalNumber0(all_44_0) = 0 % 37.90/5.86 | (49) sdtasdt0(xl, all_44_0) = xm % 37.90/5.86 | % 37.90/5.86 | DELTA: instantiating (42) with fresh symbol all_46_0 gives: % 37.90/5.86 | (50) sdtasdt0(xl, all_46_0) = all_40_0 & aNaturalNumber0(all_46_0) = 0 & % 37.90/5.86 | $i(all_46_0) % 37.90/5.86 | % 37.90/5.86 | ALPHA: (50) implies: % 37.90/5.86 | (51) $i(all_46_0) % 37.90/5.86 | (52) aNaturalNumber0(all_46_0) = 0 % 37.90/5.86 | (53) sdtasdt0(xl, all_46_0) = all_40_0 % 37.90/5.86 | % 37.90/5.86 | GROUND_INST: instantiating (21) with all_38_0, all_40_0, xn, xm, simplifying % 37.90/5.86 | with (35), (39) gives: % 37.90/5.86 | (54) all_40_0 = all_38_0 % 37.90/5.86 | % 37.90/5.86 | GROUND_INST: instantiating (21) with all_33_0, all_40_0, xn, xm, simplifying % 37.90/5.86 | with (27), (39) gives: % 37.90/5.86 | (55) all_40_0 = all_33_0 % 37.90/5.86 | % 37.90/5.86 | COMBINE_EQS: (54), (55) imply: % 37.90/5.86 | (56) all_38_0 = all_33_0 % 37.90/5.86 | % 37.90/5.86 | SIMP: (56) implies: % 37.90/5.86 | (57) all_38_0 = all_33_0 % 37.90/5.86 | % 37.90/5.86 | REDUCE: (40), (55) imply: % 37.90/5.86 | (58) doDivides0(xl, all_33_0) = 0 % 37.90/5.86 | % 37.90/5.86 | REDUCE: (36), (57) imply: % 37.90/5.86 | (59) sdtlseqdt0(xm, all_33_0) = 0 % 37.90/5.86 | % 37.90/5.86 | REDUCE: (53), (55) imply: % 37.90/5.86 | (60) sdtasdt0(xl, all_46_0) = all_33_0 % 37.90/5.86 | % 37.90/5.86 | REDUCE: (45), (57) imply: % 37.90/5.86 | (61) sdtpldt0(xm, all_42_0) = all_33_0 % 37.90/5.86 | % 37.90/5.86 | REDUCE: (34), (57) imply: % 37.90/5.86 | (62) $i(all_33_0) % 37.90/5.86 | % 37.90/5.86 | GROUND_INST: instantiating (1) with xl, simplifying with (4), (12) gives: % 37.90/5.86 | (63) xl = sz00 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 37.90/5.86 | (v1 = v0 | ~ (sdtasdt0(xl, v1) = v3) | ~ (sdtasdt0(xl, v0) = v2) | % 37.90/5.86 | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: $i] : % 37.90/5.86 | ? [v7: $i] : (sdtasdt0(v1, xl) = v7 & sdtasdt0(v0, xl) = v6 & % 37.90/5.86 | aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & $i(v7) & % 37.90/5.86 | $i(v6) & ( ~ (v5 = 0) | ~ (v4 = 0) | ( ~ (v7 = v6) & ~ (v3 = % 37.90/5.86 | v2))))) % 37.90/5.86 | % 37.90/5.86 | GROUND_INST: instantiating (mAddComm) with xm, xn, all_33_0, simplifying with % 37.90/5.86 | (14), (15), (27) gives: % 37.90/5.86 | (64) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtpldt0(xn, xm) = v2 & % 37.90/5.86 | aNaturalNumber0(xn) = v1 & aNaturalNumber0(xm) = v0 & $i(v2) & ( ~ % 37.90/5.86 | (v1 = 0) | ~ (v0 = 0) | v2 = all_33_0)) % 37.90/5.86 | % 37.90/5.86 | GROUND_INST: instantiating (mSortsB) with xm, xn, all_33_0, simplifying with % 37.90/5.86 | (14), (15), (27) gives: % 37.90/5.86 | (65) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 37.90/5.86 | (aNaturalNumber0(all_33_0) = v2 & aNaturalNumber0(xn) = v1 & % 37.90/5.86 | aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 37.90/5.86 | % 37.90/5.86 | GROUND_INST: instantiating (mAddComm) with xm, all_42_0, all_33_0, simplifying % 37.90/5.86 | with (14), (44), (61) gives: % 37.90/5.87 | (66) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtpldt0(all_42_0, xm) = % 37.90/5.87 | v2 & aNaturalNumber0(all_42_0) = v1 & aNaturalNumber0(xm) = v0 & % 37.90/5.87 | $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_33_0)) % 37.90/5.87 | % 37.90/5.87 | GROUND_INST: instantiating (mSortsB) with xm, all_42_0, all_33_0, simplifying % 37.90/5.87 | with (14), (44), (61) gives: % 37.90/5.87 | (67) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 37.90/5.87 | (aNaturalNumber0(all_42_0) = v1 & aNaturalNumber0(all_33_0) = v2 & % 37.90/5.87 | aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 37.90/5.87 | % 37.90/5.87 | GROUND_INST: instantiating (mMulComm) with xl, xp, xm, simplifying with (10), % 37.90/5.87 | (12), (17) gives: % 37.90/5.87 | (68) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtasdt0(xp, xl) = v2 & % 37.90/5.87 | aNaturalNumber0(xp) = v1 & aNaturalNumber0(xl) = v0 & $i(v2) & ( ~ % 37.90/5.87 | (v1 = 0) | ~ (v0 = 0) | v2 = xm)) % 37.90/5.87 | % 37.90/5.87 | GROUND_INST: instantiating (mMulComm) with xl, xq, all_33_0, simplifying with % 37.90/5.87 | (12), (18), (28) gives: % 37.90/5.87 | (69) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtasdt0(xq, xl) = v2 & % 37.90/5.87 | aNaturalNumber0(xq) = v1 & aNaturalNumber0(xl) = v0 & $i(v2) & ( ~ % 37.90/5.87 | (v1 = 0) | ~ (v0 = 0) | v2 = all_33_0)) % 37.90/5.87 | % 37.90/5.87 | GROUND_INST: instantiating (mSortsB_02) with xl, xq, all_33_0, simplifying % 37.90/5.87 | with (12), (18), (28) gives: % 37.90/5.87 | (70) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 37.90/5.87 | (aNaturalNumber0(all_33_0) = v2 & aNaturalNumber0(xq) = v1 & % 37.90/5.87 | aNaturalNumber0(xl) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 37.90/5.87 | % 37.90/5.87 | GROUND_INST: instantiating (mMulComm) with xl, all_44_0, xm, simplifying with % 37.90/5.87 | (12), (47), (49) gives: % 37.90/5.87 | (71) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtasdt0(all_44_0, xl) = % 37.90/5.87 | v2 & aNaturalNumber0(all_44_0) = v1 & aNaturalNumber0(xl) = v0 & % 37.90/5.87 | $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = xm)) % 37.90/5.87 | % 37.90/5.87 | GROUND_INST: instantiating (mMulComm) with xl, all_46_0, all_33_0, simplifying % 37.90/5.87 | with (12), (51), (60) gives: % 37.90/5.87 | (72) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtasdt0(all_46_0, xl) = % 37.90/5.87 | v2 & aNaturalNumber0(all_46_0) = v1 & aNaturalNumber0(xl) = v0 & % 37.90/5.87 | $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_33_0)) % 37.90/5.87 | % 37.90/5.87 | GROUND_INST: instantiating (mSortsB_02) with xl, all_46_0, all_33_0, % 37.90/5.87 | simplifying with (12), (51), (60) gives: % 37.90/5.87 | (73) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 37.90/5.87 | (aNaturalNumber0(all_46_0) = v1 & aNaturalNumber0(all_33_0) = v2 & % 37.90/5.87 | aNaturalNumber0(xl) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 37.90/5.87 | % 37.90/5.87 | GROUND_INST: instantiating (2) with xl, all_44_0, all_46_0, xm, all_33_0, 0, % 37.90/5.87 | simplifying with (12), (47), (49), (51), (59), (60) gives: % 37.90/5.87 | (74) all_46_0 = all_44_0 | xl = sz00 | ? [v0: any] : ? [v1: any] : ? % 37.90/5.87 | [v2: any] : ? [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6: any] : % 37.90/5.87 | (sdtlseqdt0(v4, v5) = v6 & sdtlseqdt0(all_44_0, all_46_0) = v3 & % 37.90/5.87 | sdtasdt0(all_46_0, xl) = v5 & sdtasdt0(all_44_0, xl) = v4 & % 37.90/5.87 | aNaturalNumber0(all_46_0) = v2 & aNaturalNumber0(all_44_0) = v1 & % 37.90/5.87 | aNaturalNumber0(xl) = v0 & $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = % 37.90/5.87 | 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v6 = 0 & ~ (v5 = v4) & ~ % 37.90/5.87 | (all_33_0 = xm)))) % 37.90/5.87 | % 37.90/5.87 | GROUND_INST: instantiating (2) with xl, xp, xq, xm, all_33_0, 0, simplifying % 37.90/5.87 | with (10), (12), (17), (18), (28), (59) gives: % 37.90/5.88 | (75) xq = xp | xl = sz00 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 37.90/5.88 | [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6: any] : (sdtlseqdt0(v4, % 37.90/5.88 | v5) = v6 & sdtlseqdt0(xp, xq) = v3 & sdtasdt0(xq, xl) = v5 & % 37.90/5.88 | sdtasdt0(xp, xl) = v4 & aNaturalNumber0(xq) = v2 & % 37.90/5.88 | aNaturalNumber0(xp) = v1 & aNaturalNumber0(xl) = v0 & $i(v5) & % 37.90/5.88 | $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | % 37.90/5.88 | (v6 = 0 & ~ (v5 = v4) & ~ (all_33_0 = xm)))) % 37.90/5.88 | % 37.90/5.88 | GROUND_INST: instantiating (mLEAsym) with xm, all_33_0, simplifying with (14), % 37.90/5.88 | (59), (62) gives: % 37.90/5.88 | (76) all_33_0 = xm | ? [v0: any] : ? [v1: any] : ? [v2: any] : % 37.90/5.88 | (sdtlseqdt0(all_33_0, xm) = v2 & aNaturalNumber0(all_33_0) = v1 & % 37.90/5.88 | aNaturalNumber0(xm) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = % 37.90/5.88 | 0))) % 37.90/5.88 | % 37.90/5.88 | GROUND_INST: instantiating (mLETotal) with xp, xq, all_35_0, simplifying with % 37.90/5.88 | (17), (18), (32) gives: % 37.90/5.88 | (77) all_35_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : % 37.90/5.88 | (sdtlseqdt0(xq, xp) = v2 & aNaturalNumber0(xq) = v1 & % 37.90/5.88 | aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v2 = 0 & ~ % 37.90/5.88 | (xq = xp)))) % 37.90/5.88 | % 37.90/5.88 | GROUND_INST: instantiating (mDefLE) with xp, xq, all_35_0, simplifying with % 37.90/5.88 | (17), (18), (32) gives: % 37.90/5.88 | (78) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xq) = v1 & % 37.90/5.88 | aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | (( ~ % 37.90/5.88 | (all_35_0 = 0) | ? [v0: $i] : (sdtpldt0(xp, v0) = xq & % 37.90/5.88 | aNaturalNumber0(v0) = 0 & $i(v0))) & (all_35_0 = 0 | ! [v0: $i] % 37.90/5.88 | : ( ~ (sdtpldt0(xp, v0) = xq) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 % 37.90/5.88 | = 0) & aNaturalNumber0(v0) = v1)))) % 37.90/5.88 | % 37.90/5.88 | GROUND_INST: instantiating (mDefDiv) with xl, all_33_0, 0, simplifying with % 37.90/5.88 | (12), (58), (62) gives: % 37.90/5.88 | (79) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(all_33_0) = v1 & % 37.90/5.88 | aNaturalNumber0(xl) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | ? [v0: % 37.90/5.88 | $i] : (sdtasdt0(xl, v0) = all_33_0 & aNaturalNumber0(v0) = 0 & % 37.90/5.88 | $i(v0)) % 37.90/5.88 | % 37.90/5.88 | GROUND_INST: instantiating (3) with xl, xm, xp, simplifying with (11), (12), % 37.90/5.88 | (14) gives: % 37.90/5.88 | (80) xl = sz00 | ? [v0: any] : ? [v1: any] : ? [v2: any] : % 37.90/5.88 | (doDivides0(xl, xm) = v2 & aNaturalNumber0(xm) = v1 & % 37.90/5.88 | aNaturalNumber0(xl) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = % 37.90/5.88 | 0))) | ( ! [v0: $i] : (v0 = xp | ~ (sdtasdt0(xl, v0) = xm) | ~ % 37.90/5.88 | $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1)) % 37.90/5.88 | & ! [v0: $i] : ( ~ (sdtasdt0(xl, xp) = v0) | ~ $i(xp) | (v0 = xm & % 37.90/5.88 | aNaturalNumber0(xp) = 0))) % 37.90/5.88 | % 37.90/5.88 | GROUND_INST: instantiating (3) with xl, all_33_0, xq, simplifying with (12), % 37.90/5.88 | (29), (62) gives: % 37.90/5.88 | (81) xl = sz00 | ? [v0: any] : ? [v1: any] : ? [v2: any] : % 37.90/5.88 | (doDivides0(xl, all_33_0) = v2 & aNaturalNumber0(all_33_0) = v1 & % 37.90/5.88 | aNaturalNumber0(xl) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = % 37.90/5.88 | 0))) | ( ! [v0: $i] : (v0 = xq | ~ (sdtasdt0(xl, v0) = % 37.90/5.88 | all_33_0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & % 37.90/5.88 | aNaturalNumber0(v0) = v1)) & ! [v0: $i] : ( ~ (sdtasdt0(xl, xq) % 37.90/5.88 | = v0) | ~ $i(xq) | (v0 = all_33_0 & aNaturalNumber0(xq) = 0))) % 37.90/5.88 | % 37.90/5.88 | DELTA: instantiating (73) with fresh symbols all_57_0, all_57_1, all_57_2 % 37.90/5.88 | gives: % 37.90/5.88 | (82) aNaturalNumber0(all_46_0) = all_57_1 & aNaturalNumber0(all_33_0) = % 37.90/5.88 | all_57_0 & aNaturalNumber0(xl) = all_57_2 & ( ~ (all_57_1 = 0) | ~ % 37.90/5.88 | (all_57_2 = 0) | all_57_0 = 0) % 37.90/5.88 | % 37.90/5.88 | ALPHA: (82) implies: % 37.90/5.88 | (83) aNaturalNumber0(xl) = all_57_2 % 37.90/5.88 | (84) aNaturalNumber0(all_33_0) = all_57_0 % 37.90/5.88 | (85) aNaturalNumber0(all_46_0) = all_57_1 % 37.90/5.88 | % 37.90/5.88 | DELTA: instantiating (70) with fresh symbols all_59_0, all_59_1, all_59_2 % 37.90/5.88 | gives: % 37.90/5.89 | (86) aNaturalNumber0(all_33_0) = all_59_0 & aNaturalNumber0(xq) = all_59_1 % 37.90/5.89 | & aNaturalNumber0(xl) = all_59_2 & ( ~ (all_59_1 = 0) | ~ (all_59_2 = % 37.90/5.89 | 0) | all_59_0 = 0) % 37.90/5.89 | % 37.90/5.89 | ALPHA: (86) implies: % 37.90/5.89 | (87) aNaturalNumber0(xl) = all_59_2 % 37.90/5.89 | (88) aNaturalNumber0(xq) = all_59_1 % 37.90/5.89 | (89) aNaturalNumber0(all_33_0) = all_59_0 % 37.90/5.89 | % 37.90/5.89 | DELTA: instantiating (67) with fresh symbols all_61_0, all_61_1, all_61_2 % 37.90/5.89 | gives: % 37.90/5.89 | (90) aNaturalNumber0(all_42_0) = all_61_1 & aNaturalNumber0(all_33_0) = % 37.90/5.89 | all_61_0 & aNaturalNumber0(xm) = all_61_2 & ( ~ (all_61_1 = 0) | ~ % 37.90/5.89 | (all_61_2 = 0) | all_61_0 = 0) % 37.90/5.89 | % 37.90/5.89 | ALPHA: (90) implies: % 37.90/5.89 | (91) aNaturalNumber0(xm) = all_61_2 % 37.90/5.89 | (92) aNaturalNumber0(all_33_0) = all_61_0 % 37.90/5.89 | % 37.90/5.89 | DELTA: instantiating (65) with fresh symbols all_63_0, all_63_1, all_63_2 % 37.90/5.89 | gives: % 37.90/5.89 | (93) aNaturalNumber0(all_33_0) = all_63_0 & aNaturalNumber0(xn) = all_63_1 % 37.90/5.89 | & aNaturalNumber0(xm) = all_63_2 & ( ~ (all_63_1 = 0) | ~ (all_63_2 = % 37.90/5.89 | 0) | all_63_0 = 0) % 37.90/5.89 | % 37.90/5.89 | ALPHA: (93) implies: % 37.90/5.89 | (94) aNaturalNumber0(xm) = all_63_2 % 37.90/5.89 | (95) aNaturalNumber0(xn) = all_63_1 % 37.90/5.89 | (96) aNaturalNumber0(all_33_0) = all_63_0 % 37.90/5.89 | (97) ~ (all_63_1 = 0) | ~ (all_63_2 = 0) | all_63_0 = 0 % 37.90/5.89 | % 37.90/5.89 | DELTA: instantiating (68) with fresh symbols all_65_0, all_65_1, all_65_2 % 37.90/5.89 | gives: % 37.90/5.89 | (98) sdtasdt0(xp, xl) = all_65_0 & aNaturalNumber0(xp) = all_65_1 & % 37.90/5.89 | aNaturalNumber0(xl) = all_65_2 & $i(all_65_0) & ( ~ (all_65_1 = 0) | % 37.90/5.89 | ~ (all_65_2 = 0) | all_65_0 = xm) % 37.90/5.89 | % 37.90/5.89 | ALPHA: (98) implies: % 37.90/5.89 | (99) aNaturalNumber0(xl) = all_65_2 % 37.90/5.89 | (100) aNaturalNumber0(xp) = all_65_1 % 37.90/5.89 | (101) sdtasdt0(xp, xl) = all_65_0 % 37.90/5.89 | (102) ~ (all_65_1 = 0) | ~ (all_65_2 = 0) | all_65_0 = xm % 37.90/5.89 | % 37.90/5.89 | DELTA: instantiating (72) with fresh symbols all_67_0, all_67_1, all_67_2 % 37.90/5.89 | gives: % 37.90/5.89 | (103) sdtasdt0(all_46_0, xl) = all_67_0 & aNaturalNumber0(all_46_0) = % 37.90/5.89 | all_67_1 & aNaturalNumber0(xl) = all_67_2 & $i(all_67_0) & ( ~ % 37.90/5.89 | (all_67_1 = 0) | ~ (all_67_2 = 0) | all_67_0 = all_33_0) % 37.90/5.89 | % 37.90/5.89 | ALPHA: (103) implies: % 37.90/5.89 | (104) aNaturalNumber0(xl) = all_67_2 % 37.90/5.89 | (105) aNaturalNumber0(all_46_0) = all_67_1 % 37.90/5.89 | (106) sdtasdt0(all_46_0, xl) = all_67_0 % 37.90/5.89 | (107) ~ (all_67_1 = 0) | ~ (all_67_2 = 0) | all_67_0 = all_33_0 % 37.90/5.89 | % 37.90/5.89 | DELTA: instantiating (71) with fresh symbols all_69_0, all_69_1, all_69_2 % 37.90/5.89 | gives: % 37.90/5.89 | (108) sdtasdt0(all_44_0, xl) = all_69_0 & aNaturalNumber0(all_44_0) = % 37.90/5.89 | all_69_1 & aNaturalNumber0(xl) = all_69_2 & $i(all_69_0) & ( ~ % 37.90/5.89 | (all_69_1 = 0) | ~ (all_69_2 = 0) | all_69_0 = xm) % 37.90/5.89 | % 37.90/5.89 | ALPHA: (108) implies: % 37.90/5.89 | (109) aNaturalNumber0(xl) = all_69_2 % 37.90/5.89 | (110) aNaturalNumber0(all_44_0) = all_69_1 % 37.90/5.89 | % 37.90/5.89 | DELTA: instantiating (64) with fresh symbols all_71_0, all_71_1, all_71_2 % 37.90/5.89 | gives: % 37.90/5.89 | (111) sdtpldt0(xn, xm) = all_71_0 & aNaturalNumber0(xn) = all_71_1 & % 37.90/5.89 | aNaturalNumber0(xm) = all_71_2 & $i(all_71_0) & ( ~ (all_71_1 = 0) | % 37.90/5.89 | ~ (all_71_2 = 0) | all_71_0 = all_33_0) % 37.90/5.89 | % 37.90/5.89 | ALPHA: (111) implies: % 37.90/5.89 | (112) aNaturalNumber0(xm) = all_71_2 % 37.90/5.89 | (113) aNaturalNumber0(xn) = all_71_1 % 37.90/5.89 | % 37.90/5.89 | DELTA: instantiating (66) with fresh symbols all_73_0, all_73_1, all_73_2 % 37.90/5.89 | gives: % 37.90/5.89 | (114) sdtpldt0(all_42_0, xm) = all_73_0 & aNaturalNumber0(all_42_0) = % 37.90/5.89 | all_73_1 & aNaturalNumber0(xm) = all_73_2 & $i(all_73_0) & ( ~ % 37.90/5.89 | (all_73_1 = 0) | ~ (all_73_2 = 0) | all_73_0 = all_33_0) % 37.90/5.89 | % 37.90/5.89 | ALPHA: (114) implies: % 37.90/5.89 | (115) aNaturalNumber0(xm) = all_73_2 % 37.90/5.89 | % 37.90/5.89 | DELTA: instantiating (69) with fresh symbols all_75_0, all_75_1, all_75_2 % 37.90/5.89 | gives: % 37.90/5.89 | (116) sdtasdt0(xq, xl) = all_75_0 & aNaturalNumber0(xq) = all_75_1 & % 37.90/5.89 | aNaturalNumber0(xl) = all_75_2 & $i(all_75_0) & ( ~ (all_75_1 = 0) | % 37.90/5.89 | ~ (all_75_2 = 0) | all_75_0 = all_33_0) % 37.90/5.89 | % 37.90/5.89 | ALPHA: (116) implies: % 37.90/5.89 | (117) aNaturalNumber0(xl) = all_75_2 % 37.90/5.89 | (118) aNaturalNumber0(xq) = all_75_1 % 37.90/5.89 | % 37.90/5.89 | BETA: splitting (63) gives: % 37.90/5.89 | % 37.90/5.89 | Case 1: % 37.90/5.89 | | % 37.90/5.89 | | (119) xl = sz00 % 37.90/5.89 | | % 37.90/5.89 | | REDUCE: (8), (119) imply: % 37.90/5.89 | | (120) $false % 37.90/5.89 | | % 37.90/5.89 | | CLOSE: (120) is inconsistent. % 37.90/5.89 | | % 37.90/5.89 | Case 2: % 37.90/5.89 | | % 37.90/5.89 | | (121) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | % 37.90/5.89 | | ~ (sdtasdt0(xl, v1) = v3) | ~ (sdtasdt0(xl, v0) = v2) | ~ % 37.90/5.89 | | $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: $i] : % 37.90/5.89 | | ? [v7: $i] : (sdtasdt0(v1, xl) = v7 & sdtasdt0(v0, xl) = v6 & % 37.90/5.89 | | aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & $i(v7) & % 37.90/5.89 | | $i(v6) & ( ~ (v5 = 0) | ~ (v4 = 0) | ( ~ (v7 = v6) & ~ (v3 = % 37.90/5.90 | | v2))))) % 37.90/5.90 | | % 37.90/5.90 | | GROUND_INST: instantiating (121) with xp, xq, xm, all_33_0, simplifying with % 37.90/5.90 | | (10), (17), (18), (28) gives: % 37.90/5.90 | | (122) xq = xp | ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: $i] : % 37.90/5.90 | | (sdtasdt0(xq, xl) = v3 & sdtasdt0(xp, xl) = v2 & % 37.90/5.90 | | aNaturalNumber0(xq) = v1 & aNaturalNumber0(xp) = v0 & $i(v3) & % 37.90/5.90 | | $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~ % 37.90/5.90 | | (all_33_0 = xm)))) % 37.90/5.90 | | % 37.90/5.90 | | GROUND_INST: instantiating (121) with xq, xp, all_33_0, xm, simplifying with % 37.90/5.90 | | (10), (17), (18), (28) gives: % 37.90/5.90 | | (123) xq = xp | ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: $i] : % 37.90/5.90 | | (sdtasdt0(xq, xl) = v2 & sdtasdt0(xp, xl) = v3 & % 37.90/5.90 | | aNaturalNumber0(xq) = v0 & aNaturalNumber0(xp) = v1 & $i(v3) & % 37.90/5.90 | | $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~ % 37.90/5.90 | | (all_33_0 = xm)))) % 37.90/5.90 | | % 37.90/5.90 | | GROUND_INST: instantiating (121) with xq, all_44_0, all_33_0, xm, % 37.90/5.90 | | simplifying with (18), (28), (47), (49) gives: % 37.90/5.90 | | (124) all_44_0 = xq | ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: % 37.90/5.90 | | $i] : (sdtasdt0(all_44_0, xl) = v3 & sdtasdt0(xq, xl) = v2 & % 37.90/5.90 | | aNaturalNumber0(all_44_0) = v1 & aNaturalNumber0(xq) = v0 & % 37.90/5.90 | | $i(v3) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~ % 37.90/5.90 | | (all_33_0 = xm)))) % 37.90/5.90 | | % 38.30/5.90 | | GROUND_INST: instantiating (121) with all_44_0, xq, xm, all_33_0, % 38.30/5.90 | | simplifying with (18), (28), (47), (49) gives: % 38.30/5.90 | | (125) all_44_0 = xq | ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: % 38.30/5.90 | | $i] : (sdtasdt0(all_44_0, xl) = v2 & sdtasdt0(xq, xl) = v3 & % 38.30/5.90 | | aNaturalNumber0(all_44_0) = v0 & aNaturalNumber0(xq) = v1 & % 38.30/5.90 | | $i(v3) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~ % 38.30/5.90 | | (all_33_0 = xm)))) % 38.30/5.90 | | % 38.30/5.90 | | GROUND_INST: instantiating (121) with xp, all_44_0, xm, xm, simplifying with % 38.30/5.90 | | (10), (17), (47), (49) gives: % 38.30/5.90 | | (126) all_44_0 = xp | ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: % 38.30/5.90 | | $i] : (sdtasdt0(all_44_0, xl) = v3 & sdtasdt0(xp, xl) = v2 & % 38.30/5.90 | | aNaturalNumber0(all_44_0) = v1 & aNaturalNumber0(xp) = v0 & % 38.30/5.90 | | $i(v3) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0))) % 38.30/5.90 | | % 38.30/5.90 | | GROUND_INST: instantiating (121) with all_44_0, xp, xm, xm, simplifying with % 38.30/5.90 | | (10), (17), (47), (49) gives: % 38.30/5.90 | | (127) all_44_0 = xp | ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: % 38.30/5.90 | | $i] : (sdtasdt0(all_44_0, xl) = v2 & sdtasdt0(xp, xl) = v3 & % 38.30/5.90 | | aNaturalNumber0(all_44_0) = v0 & aNaturalNumber0(xp) = v1 & % 38.30/5.90 | | $i(v3) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0))) % 38.30/5.90 | | % 38.30/5.90 | | GROUND_INST: instantiating (121) with all_44_0, all_46_0, xm, all_33_0, % 38.30/5.90 | | simplifying with (47), (49), (51), (60) gives: % 38.30/5.90 | | (128) all_46_0 = all_44_0 | ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 38.30/5.90 | | ? [v3: $i] : (sdtasdt0(all_46_0, xl) = v3 & sdtasdt0(all_44_0, xl) % 38.30/5.90 | | = v2 & aNaturalNumber0(all_46_0) = v1 & aNaturalNumber0(all_44_0) % 38.30/5.90 | | = v0 & $i(v3) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = % 38.30/5.90 | | v2) & ~ (all_33_0 = xm)))) % 38.30/5.90 | | % 38.30/5.90 | | GROUND_INST: instantiating (121) with all_46_0, all_44_0, all_33_0, xm, % 38.30/5.90 | | simplifying with (47), (49), (51), (60) gives: % 38.30/5.90 | | (129) all_46_0 = all_44_0 | ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 38.30/5.90 | | ? [v3: $i] : (sdtasdt0(all_46_0, xl) = v2 & sdtasdt0(all_44_0, xl) % 38.30/5.90 | | = v3 & aNaturalNumber0(all_46_0) = v0 & aNaturalNumber0(all_44_0) % 38.30/5.90 | | = v1 & $i(v3) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = % 38.30/5.90 | | v2) & ~ (all_33_0 = xm)))) % 38.30/5.90 | | % 38.30/5.90 | | GROUND_INST: instantiating (121) with xq, all_46_0, all_33_0, all_33_0, % 38.30/5.90 | | simplifying with (18), (28), (51), (60) gives: % 38.30/5.90 | | (130) all_46_0 = xq | ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: % 38.30/5.90 | | $i] : (sdtasdt0(all_46_0, xl) = v3 & sdtasdt0(xq, xl) = v2 & % 38.30/5.90 | | aNaturalNumber0(all_46_0) = v1 & aNaturalNumber0(xq) = v0 & % 38.30/5.90 | | $i(v3) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0))) % 38.30/5.90 | | % 38.30/5.90 | | GROUND_INST: instantiating (121) with all_46_0, xq, all_33_0, all_33_0, % 38.30/5.90 | | simplifying with (18), (28), (51), (60) gives: % 38.30/5.90 | | (131) all_46_0 = xq | ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: % 38.30/5.90 | | $i] : (sdtasdt0(all_46_0, xl) = v2 & sdtasdt0(xq, xl) = v3 & % 38.30/5.90 | | aNaturalNumber0(all_46_0) = v0 & aNaturalNumber0(xq) = v1 & % 38.30/5.90 | | $i(v3) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0))) % 38.30/5.90 | | % 38.30/5.90 | | GROUND_INST: instantiating (121) with xp, all_46_0, xm, all_33_0, % 38.30/5.90 | | simplifying with (10), (17), (51), (60) gives: % 38.30/5.91 | | (132) all_46_0 = xp | ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: % 38.30/5.91 | | $i] : (sdtasdt0(all_46_0, xl) = v3 & sdtasdt0(xp, xl) = v2 & % 38.30/5.91 | | aNaturalNumber0(all_46_0) = v1 & aNaturalNumber0(xp) = v0 & % 38.30/5.91 | | $i(v3) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~ % 38.30/5.91 | | (all_33_0 = xm)))) % 38.30/5.91 | | % 38.30/5.91 | | GROUND_INST: instantiating (121) with all_46_0, xp, all_33_0, xm, % 38.30/5.91 | | simplifying with (10), (17), (51), (60) gives: % 38.30/5.91 | | (133) all_46_0 = xp | ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: % 38.30/5.91 | | $i] : (sdtasdt0(all_46_0, xl) = v2 & sdtasdt0(xp, xl) = v3 & % 38.30/5.91 | | aNaturalNumber0(all_46_0) = v0 & aNaturalNumber0(xp) = v1 & % 38.30/5.91 | | $i(v3) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~ % 38.30/5.91 | | (all_33_0 = xm)))) % 38.30/5.91 | | % 38.30/5.91 | | BETA: splitting (77) gives: % 38.30/5.91 | | % 38.30/5.91 | | Case 1: % 38.30/5.91 | | | % 38.30/5.91 | | | (134) all_35_0 = 0 % 38.30/5.91 | | | % 38.30/5.91 | | | REDUCE: (31), (134) imply: % 38.30/5.91 | | | (135) $false % 38.30/5.91 | | | % 38.30/5.91 | | | CLOSE: (135) is inconsistent. % 38.30/5.91 | | | % 38.30/5.91 | | Case 2: % 38.30/5.91 | | | % 38.30/5.91 | | | (136) ? [v0: any] : ? [v1: any] : ? [v2: any] : (sdtlseqdt0(xq, xp) % 38.30/5.91 | | | = v2 & aNaturalNumber0(xq) = v1 & aNaturalNumber0(xp) = v0 & ( % 38.30/5.91 | | | ~ (v1 = 0) | ~ (v0 = 0) | (v2 = 0 & ~ (xq = xp)))) % 38.30/5.91 | | | % 38.30/5.91 | | | DELTA: instantiating (136) with fresh symbols all_89_0, all_89_1, all_89_2 % 38.30/5.91 | | | gives: % 38.30/5.91 | | | (137) sdtlseqdt0(xq, xp) = all_89_0 & aNaturalNumber0(xq) = all_89_1 & % 38.30/5.91 | | | aNaturalNumber0(xp) = all_89_2 & ( ~ (all_89_1 = 0) | ~ % 38.30/5.91 | | | (all_89_2 = 0) | (all_89_0 = 0 & ~ (xq = xp))) % 38.30/5.91 | | | % 38.30/5.91 | | | ALPHA: (137) implies: % 38.30/5.91 | | | (138) aNaturalNumber0(xp) = all_89_2 % 38.30/5.91 | | | (139) aNaturalNumber0(xq) = all_89_1 % 38.30/5.91 | | | (140) sdtlseqdt0(xq, xp) = all_89_0 % 38.30/5.91 | | | (141) ~ (all_89_1 = 0) | ~ (all_89_2 = 0) | (all_89_0 = 0 & ~ (xq = % 38.30/5.91 | | | xp)) % 38.30/5.91 | | | % 38.30/5.91 | | | GROUND_INST: instantiating (20) with all_59_2, all_65_2, xl, simplifying % 38.30/5.91 | | | with (87), (99) gives: % 38.30/5.91 | | | (142) all_65_2 = all_59_2 % 38.30/5.91 | | | % 38.30/5.91 | | | GROUND_INST: instantiating (20) with all_57_2, all_65_2, xl, simplifying % 38.30/5.91 | | | with (83), (99) gives: % 38.30/5.91 | | | (143) all_65_2 = all_57_2 % 38.30/5.91 | | | % 38.30/5.91 | | | GROUND_INST: instantiating (20) with 0, all_75_2, xl, simplifying with % 38.30/5.91 | | | (4), (117) gives: % 38.30/5.91 | | | (144) all_75_2 = 0 % 38.30/5.91 | | | % 38.30/5.91 | | | GROUND_INST: instantiating (20) with all_69_2, all_75_2, xl, simplifying % 38.30/5.91 | | | with (109), (117) gives: % 38.30/5.91 | | | (145) all_75_2 = all_69_2 % 38.30/5.91 | | | % 38.30/5.91 | | | GROUND_INST: instantiating (20) with all_67_2, all_75_2, xl, simplifying % 38.30/5.91 | | | with (104), (117) gives: % 38.30/5.91 | | | (146) all_75_2 = all_67_2 % 38.30/5.91 | | | % 38.30/5.91 | | | GROUND_INST: instantiating (20) with all_59_2, all_75_2, xl, simplifying % 38.30/5.91 | | | with (87), (117) gives: % 38.30/5.91 | | | (147) all_75_2 = all_59_2 % 38.30/5.91 | | | % 38.30/5.91 | | | GROUND_INST: instantiating (20) with all_61_2, all_63_2, xm, simplifying % 38.30/5.91 | | | with (91), (94) gives: % 38.30/5.91 | | | (148) all_63_2 = all_61_2 % 38.30/5.91 | | | % 38.30/5.91 | | | GROUND_INST: instantiating (20) with all_63_2, all_71_2, xm, simplifying % 38.30/5.91 | | | with (94), (112) gives: % 38.30/5.91 | | | (149) all_71_2 = all_63_2 % 38.30/5.91 | | | % 38.30/5.91 | | | GROUND_INST: instantiating (20) with 0, all_73_2, xm, simplifying with % 38.30/5.91 | | | (5), (115) gives: % 38.30/5.91 | | | (150) all_73_2 = 0 % 38.30/5.91 | | | % 38.30/5.91 | | | GROUND_INST: instantiating (20) with all_71_2, all_73_2, xm, simplifying % 38.30/5.91 | | | with (112), (115) gives: % 38.30/5.91 | | | (151) all_73_2 = all_71_2 % 38.30/5.91 | | | % 38.30/5.91 | | | GROUND_INST: instantiating (20) with 0, all_71_1, xn, simplifying with % 38.30/5.91 | | | (6), (113) gives: % 38.30/5.91 | | | (152) all_71_1 = 0 % 38.30/5.91 | | | % 38.30/5.91 | | | GROUND_INST: instantiating (20) with all_63_1, all_71_1, xn, simplifying % 38.30/5.91 | | | with (95), (113) gives: % 38.30/5.91 | | | (153) all_71_1 = all_63_1 % 38.30/5.91 | | | % 38.30/5.91 | | | GROUND_INST: instantiating (20) with 0, all_89_2, xp, simplifying with % 38.30/5.91 | | | (9), (138) gives: % 38.30/5.91 | | | (154) all_89_2 = 0 % 38.30/5.91 | | | % 38.30/5.91 | | | GROUND_INST: instantiating (20) with all_65_1, all_89_2, xp, simplifying % 38.30/5.91 | | | with (100), (138) gives: % 38.30/5.91 | | | (155) all_89_2 = all_65_1 % 38.30/5.91 | | | % 38.30/5.91 | | | GROUND_INST: instantiating (20) with 0, all_89_1, xq, simplifying with % 38.30/5.91 | | | (26), (139) gives: % 38.30/5.91 | | | (156) all_89_1 = 0 % 38.30/5.91 | | | % 38.30/5.91 | | | GROUND_INST: instantiating (20) with all_75_1, all_89_1, xq, simplifying % 38.30/5.91 | | | with (118), (139) gives: % 38.30/5.91 | | | (157) all_89_1 = all_75_1 % 38.30/5.91 | | | % 38.30/5.91 | | | GROUND_INST: instantiating (20) with all_59_1, all_89_1, xq, simplifying % 38.30/5.91 | | | with (88), (139) gives: % 38.30/5.91 | | | (158) all_89_1 = all_59_1 % 38.30/5.91 | | | % 38.30/5.91 | | | GROUND_INST: instantiating (20) with all_57_0, all_61_0, all_33_0, % 38.30/5.91 | | | simplifying with (84), (92) gives: % 38.30/5.91 | | | (159) all_61_0 = all_57_0 % 38.30/5.91 | | | % 38.30/5.91 | | | GROUND_INST: instantiating (20) with all_61_0, all_63_0, all_33_0, % 38.30/5.91 | | | simplifying with (92), (96) gives: % 38.30/5.91 | | | (160) all_63_0 = all_61_0 % 38.30/5.91 | | | % 38.30/5.91 | | | GROUND_INST: instantiating (20) with all_59_0, all_63_0, all_33_0, % 38.30/5.91 | | | simplifying with (89), (96) gives: % 38.30/5.91 | | | (161) all_63_0 = all_59_0 % 38.30/5.91 | | | % 38.30/5.91 | | | GROUND_INST: instantiating (20) with 0, all_69_1, all_44_0, simplifying % 38.30/5.91 | | | with (48), (110) gives: % 38.30/5.91 | | | (162) all_69_1 = 0 % 38.30/5.91 | | | % 38.30/5.91 | | | GROUND_INST: instantiating (20) with 0, all_67_1, all_46_0, simplifying % 38.30/5.91 | | | with (52), (105) gives: % 38.30/5.91 | | | (163) all_67_1 = 0 % 38.30/5.91 | | | % 38.30/5.91 | | | GROUND_INST: instantiating (20) with all_57_1, all_67_1, all_46_0, % 38.30/5.91 | | | simplifying with (85), (105) gives: % 38.30/5.91 | | | (164) all_67_1 = all_57_1 % 38.30/5.91 | | | % 38.30/5.91 | | | COMBINE_EQS: (156), (157) imply: % 38.30/5.91 | | | (165) all_75_1 = 0 % 38.30/5.91 | | | % 38.30/5.91 | | | COMBINE_EQS: (157), (158) imply: % 38.30/5.91 | | | (166) all_75_1 = all_59_1 % 38.30/5.91 | | | % 38.30/5.91 | | | COMBINE_EQS: (154), (155) imply: % 38.30/5.91 | | | (167) all_65_1 = 0 % 38.30/5.91 | | | % 38.30/5.91 | | | COMBINE_EQS: (165), (166) imply: % 38.30/5.91 | | | (168) all_59_1 = 0 % 38.30/5.91 | | | % 38.30/5.91 | | | COMBINE_EQS: (144), (145) imply: % 38.30/5.91 | | | (169) all_69_2 = 0 % 38.30/5.91 | | | % 38.30/5.91 | | | COMBINE_EQS: (145), (146) imply: % 38.30/5.91 | | | (170) all_69_2 = all_67_2 % 38.30/5.91 | | | % 38.30/5.91 | | | COMBINE_EQS: (145), (147) imply: % 38.30/5.91 | | | (171) all_69_2 = all_59_2 % 38.30/5.91 | | | % 38.30/5.91 | | | COMBINE_EQS: (150), (151) imply: % 38.30/5.91 | | | (172) all_71_2 = 0 % 38.30/5.91 | | | % 38.30/5.91 | | | SIMP: (172) implies: % 38.30/5.91 | | | (173) all_71_2 = 0 % 38.30/5.91 | | | % 38.30/5.91 | | | COMBINE_EQS: (152), (153) imply: % 38.30/5.91 | | | (174) all_63_1 = 0 % 38.30/5.91 | | | % 38.30/5.91 | | | COMBINE_EQS: (149), (173) imply: % 38.30/5.91 | | | (175) all_63_2 = 0 % 38.30/5.91 | | | % 38.30/5.91 | | | SIMP: (175) implies: % 38.30/5.91 | | | (176) all_63_2 = 0 % 38.30/5.92 | | | % 38.30/5.92 | | | COMBINE_EQS: (170), (171) imply: % 38.30/5.92 | | | (177) all_67_2 = all_59_2 % 38.30/5.92 | | | % 38.30/5.92 | | | COMBINE_EQS: (169), (170) imply: % 38.30/5.92 | | | (178) all_67_2 = 0 % 38.30/5.92 | | | % 38.30/5.92 | | | COMBINE_EQS: (163), (164) imply: % 38.30/5.92 | | | (179) all_57_1 = 0 % 38.30/5.92 | | | % 38.30/5.92 | | | SIMP: (179) implies: % 38.30/5.92 | | | (180) all_57_1 = 0 % 38.30/5.92 | | | % 38.30/5.92 | | | COMBINE_EQS: (177), (178) imply: % 38.30/5.92 | | | (181) all_59_2 = 0 % 38.30/5.92 | | | % 38.30/5.92 | | | SIMP: (181) implies: % 38.30/5.92 | | | (182) all_59_2 = 0 % 38.30/5.92 | | | % 38.30/5.92 | | | COMBINE_EQS: (142), (143) imply: % 38.30/5.92 | | | (183) all_59_2 = all_57_2 % 38.30/5.92 | | | % 38.30/5.92 | | | SIMP: (183) implies: % 38.30/5.92 | | | (184) all_59_2 = all_57_2 % 38.30/5.92 | | | % 38.30/5.92 | | | COMBINE_EQS: (160), (161) imply: % 38.30/5.92 | | | (185) all_61_0 = all_59_0 % 38.30/5.92 | | | % 38.30/5.92 | | | SIMP: (185) implies: % 38.30/5.92 | | | (186) all_61_0 = all_59_0 % 38.30/5.92 | | | % 38.30/5.92 | | | COMBINE_EQS: (148), (176) imply: % 38.30/5.92 | | | (187) all_61_2 = 0 % 38.30/5.92 | | | % 38.30/5.92 | | | SIMP: (187) implies: % 38.30/5.92 | | | (188) all_61_2 = 0 % 38.30/5.92 | | | % 38.30/5.92 | | | COMBINE_EQS: (159), (186) imply: % 38.30/5.92 | | | (189) all_59_0 = all_57_0 % 38.30/5.92 | | | % 38.30/5.92 | | | SIMP: (189) implies: % 38.30/5.92 | | | (190) all_59_0 = all_57_0 % 38.30/5.92 | | | % 38.30/5.92 | | | COMBINE_EQS: (182), (184) imply: % 38.30/5.92 | | | (191) all_57_2 = 0 % 38.30/5.92 | | | % 38.30/5.92 | | | SIMP: (191) implies: % 38.30/5.92 | | | (192) all_57_2 = 0 % 38.30/5.92 | | | % 38.30/5.92 | | | COMBINE_EQS: (161), (190) imply: % 38.30/5.92 | | | (193) all_63_0 = all_57_0 % 38.30/5.92 | | | % 38.30/5.92 | | | COMBINE_EQS: (143), (192) imply: % 38.30/5.92 | | | (194) all_65_2 = 0 % 38.30/5.92 | | | % 38.30/5.92 | | | BETA: splitting (141) gives: % 38.30/5.92 | | | % 38.30/5.92 | | | Case 1: % 38.30/5.92 | | | | % 38.30/5.92 | | | | (195) ~ (all_89_1 = 0) % 38.30/5.92 | | | | % 38.30/5.92 | | | | REDUCE: (156), (195) imply: % 38.30/5.92 | | | | (196) $false % 38.30/5.92 | | | | % 38.30/5.92 | | | | CLOSE: (196) is inconsistent. % 38.30/5.92 | | | | % 38.30/5.92 | | | Case 2: % 38.30/5.92 | | | | % 38.30/5.92 | | | | (197) ~ (all_89_2 = 0) | (all_89_0 = 0 & ~ (xq = xp)) % 38.30/5.92 | | | | % 38.30/5.92 | | | | BETA: splitting (78) gives: % 38.30/5.92 | | | | % 38.30/5.92 | | | | Case 1: % 38.30/5.92 | | | | | % 38.30/5.92 | | | | | (198) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xq) = v1 & % 38.30/5.92 | | | | | aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 38.30/5.92 | | | | | % 38.30/5.92 | | | | | DELTA: instantiating (198) with fresh symbols all_101_0, all_101_1 % 38.30/5.92 | | | | | gives: % 38.30/5.92 | | | | | (199) aNaturalNumber0(xq) = all_101_0 & aNaturalNumber0(xp) = % 38.30/5.92 | | | | | all_101_1 & ( ~ (all_101_0 = 0) | ~ (all_101_1 = 0)) % 38.30/5.92 | | | | | % 38.30/5.92 | | | | | ALPHA: (199) implies: % 38.30/5.92 | | | | | (200) aNaturalNumber0(xp) = all_101_1 % 38.30/5.92 | | | | | (201) aNaturalNumber0(xq) = all_101_0 % 38.30/5.92 | | | | | (202) ~ (all_101_0 = 0) | ~ (all_101_1 = 0) % 38.30/5.92 | | | | | % 38.30/5.92 | | | | | BETA: splitting (197) gives: % 38.30/5.92 | | | | | % 38.30/5.92 | | | | | Case 1: % 38.30/5.92 | | | | | | % 38.30/5.92 | | | | | | (203) ~ (all_89_2 = 0) % 38.30/5.92 | | | | | | % 38.30/5.92 | | | | | | REDUCE: (154), (203) imply: % 38.30/5.92 | | | | | | (204) $false % 38.30/5.92 | | | | | | % 38.30/5.92 | | | | | | CLOSE: (204) is inconsistent. % 38.30/5.92 | | | | | | % 38.30/5.92 | | | | | Case 2: % 38.30/5.92 | | | | | | % 38.30/5.92 | | | | | | (205) all_89_0 = 0 & ~ (xq = xp) % 38.30/5.92 | | | | | | % 38.30/5.92 | | | | | | ALPHA: (205) implies: % 38.30/5.92 | | | | | | (206) ~ (xq = xp) % 38.30/5.92 | | | | | | % 38.30/5.92 | | | | | | BETA: splitting (123) gives: % 38.30/5.92 | | | | | | % 38.30/5.92 | | | | | | Case 1: % 38.30/5.92 | | | | | | | % 38.30/5.92 | | | | | | | (207) xq = xp % 38.30/5.92 | | | | | | | % 38.30/5.92 | | | | | | | REDUCE: (206), (207) imply: % 38.30/5.92 | | | | | | | (208) $false % 38.30/5.92 | | | | | | | % 38.30/5.92 | | | | | | | CLOSE: (208) is inconsistent. % 38.30/5.92 | | | | | | | % 38.30/5.92 | | | | | | Case 2: % 38.30/5.92 | | | | | | | % 38.30/5.92 | | | | | | | % 38.30/5.92 | | | | | | | GROUND_INST: instantiating (20) with 0, all_101_1, xp, simplifying % 38.30/5.92 | | | | | | | with (9), (200) gives: % 38.30/5.92 | | | | | | | (209) all_101_1 = 0 % 38.30/5.92 | | | | | | | % 38.30/5.92 | | | | | | | GROUND_INST: instantiating (20) with 0, all_101_0, xq, simplifying % 38.30/5.92 | | | | | | | with (26), (201) gives: % 38.30/5.92 | | | | | | | (210) all_101_0 = 0 % 38.30/5.92 | | | | | | | % 38.30/5.92 | | | | | | | BETA: splitting (202) gives: % 38.30/5.92 | | | | | | | % 38.30/5.92 | | | | | | | Case 1: % 38.30/5.92 | | | | | | | | % 38.30/5.92 | | | | | | | | (211) ~ (all_101_0 = 0) % 38.30/5.92 | | | | | | | | % 38.30/5.92 | | | | | | | | REDUCE: (210), (211) imply: % 38.30/5.92 | | | | | | | | (212) $false % 38.30/5.92 | | | | | | | | % 38.30/5.92 | | | | | | | | CLOSE: (212) is inconsistent. % 38.30/5.92 | | | | | | | | % 38.30/5.92 | | | | | | | Case 2: % 38.30/5.92 | | | | | | | | % 38.30/5.92 | | | | | | | | (213) ~ (all_101_1 = 0) % 38.30/5.92 | | | | | | | | % 38.30/5.92 | | | | | | | | REDUCE: (209), (213) imply: % 38.30/5.92 | | | | | | | | (214) $false % 38.30/5.92 | | | | | | | | % 38.30/5.92 | | | | | | | | CLOSE: (214) is inconsistent. % 38.30/5.92 | | | | | | | | % 38.30/5.92 | | | | | | | End of split % 38.30/5.92 | | | | | | | % 38.30/5.92 | | | | | | End of split % 38.30/5.92 | | | | | | % 38.30/5.92 | | | | | End of split % 38.30/5.92 | | | | | % 38.30/5.92 | | | | Case 2: % 38.30/5.92 | | | | | % 38.30/5.92 | | | | | (215) ( ~ (all_35_0 = 0) | ? [v0: $i] : (sdtpldt0(xp, v0) = xq & % 38.30/5.92 | | | | | aNaturalNumber0(v0) = 0 & $i(v0))) & (all_35_0 = 0 | ! % 38.30/5.92 | | | | | [v0: $i] : ( ~ (sdtpldt0(xp, v0) = xq) | ~ $i(v0) | ? % 38.30/5.92 | | | | | [v1: int] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) % 38.30/5.92 | | | | | % 38.30/5.92 | | | | | ALPHA: (215) implies: % 38.30/5.92 | | | | | (216) all_35_0 = 0 | ! [v0: $i] : ( ~ (sdtpldt0(xp, v0) = xq) | ~ % 38.30/5.92 | | | | | $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & aNaturalNumber0(v0) % 38.30/5.92 | | | | | = v1)) % 38.30/5.92 | | | | | % 38.30/5.92 | | | | | BETA: splitting (97) gives: % 38.30/5.92 | | | | | % 38.30/5.92 | | | | | Case 1: % 38.30/5.92 | | | | | | % 38.30/5.92 | | | | | | (217) ~ (all_63_1 = 0) % 38.30/5.92 | | | | | | % 38.30/5.92 | | | | | | REDUCE: (174), (217) imply: % 38.30/5.92 | | | | | | (218) $false % 38.30/5.92 | | | | | | % 38.30/5.92 | | | | | | CLOSE: (218) is inconsistent. % 38.30/5.92 | | | | | | % 38.30/5.92 | | | | | Case 2: % 38.30/5.92 | | | | | | % 38.30/5.92 | | | | | | (219) ~ (all_63_2 = 0) | all_63_0 = 0 % 38.30/5.92 | | | | | | % 38.30/5.92 | | | | | | BETA: splitting (80) gives: % 38.30/5.92 | | | | | | % 38.30/5.92 | | | | | | Case 1: % 38.30/5.92 | | | | | | | % 38.30/5.92 | | | | | | | (220) xl = sz00 % 38.30/5.92 | | | | | | | % 38.30/5.92 | | | | | | | REDUCE: (8), (220) imply: % 38.30/5.92 | | | | | | | (221) $false % 38.30/5.92 | | | | | | | % 38.30/5.92 | | | | | | | CLOSE: (221) is inconsistent. % 38.30/5.92 | | | | | | | % 38.30/5.92 | | | | | | Case 2: % 38.30/5.92 | | | | | | | % 38.30/5.92 | | | | | | | % 38.30/5.92 | | | | | | | DELTA: instantiating (41) with fresh symbol all_109_0 gives: % 38.30/5.92 | | | | | | | (222) sdtasdt0(xl, all_109_0) = xm & aNaturalNumber0(all_109_0) % 38.30/5.92 | | | | | | | = 0 & $i(all_109_0) % 38.30/5.92 | | | | | | | % 38.30/5.92 | | | | | | | ALPHA: (222) implies: % 38.30/5.92 | | | | | | | (223) $i(all_109_0) % 38.30/5.92 | | | | | | | (224) sdtasdt0(xl, all_109_0) = xm % 38.30/5.92 | | | | | | | % 38.30/5.92 | | | | | | | BETA: splitting (219) gives: % 38.30/5.92 | | | | | | | % 38.30/5.92 | | | | | | | Case 1: % 38.30/5.92 | | | | | | | | % 38.30/5.92 | | | | | | | | (225) ~ (all_63_2 = 0) % 38.30/5.92 | | | | | | | | % 38.30/5.92 | | | | | | | | REDUCE: (176), (225) imply: % 38.30/5.92 | | | | | | | | (226) $false % 38.30/5.92 | | | | | | | | % 38.30/5.92 | | | | | | | | CLOSE: (226) is inconsistent. % 38.30/5.92 | | | | | | | | % 38.30/5.92 | | | | | | | Case 2: % 38.30/5.92 | | | | | | | | % 38.30/5.92 | | | | | | | | (227) all_63_0 = 0 % 38.30/5.92 | | | | | | | | % 38.30/5.92 | | | | | | | | COMBINE_EQS: (193), (227) imply: % 38.30/5.92 | | | | | | | | (228) all_57_0 = 0 % 38.30/5.92 | | | | | | | | % 38.30/5.92 | | | | | | | | SIMP: (228) implies: % 38.30/5.92 | | | | | | | | (229) all_57_0 = 0 % 38.30/5.92 | | | | | | | | % 38.30/5.92 | | | | | | | | REDUCE: (84), (229) imply: % 38.30/5.92 | | | | | | | | (230) aNaturalNumber0(all_33_0) = 0 % 38.30/5.92 | | | | | | | | % 38.30/5.92 | | | | | | | | BETA: splitting (79) gives: % 38.30/5.92 | | | | | | | | % 38.30/5.92 | | | | | | | | Case 1: % 38.30/5.92 | | | | | | | | | % 38.30/5.92 | | | | | | | | | (231) ? [v0: any] : ? [v1: any] : % 38.30/5.92 | | | | | | | | | (aNaturalNumber0(all_33_0) = v1 & aNaturalNumber0(xl) % 38.30/5.92 | | | | | | | | | = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 38.30/5.92 | | | | | | | | | % 38.30/5.92 | | | | | | | | | DELTA: instantiating (231) with fresh symbols all_125_0, % 38.30/5.92 | | | | | | | | | all_125_1 gives: % 38.30/5.92 | | | | | | | | | (232) aNaturalNumber0(all_33_0) = all_125_0 & % 38.30/5.92 | | | | | | | | | aNaturalNumber0(xl) = all_125_1 & ( ~ (all_125_0 = 0) % 38.30/5.92 | | | | | | | | | | ~ (all_125_1 = 0)) % 38.30/5.92 | | | | | | | | | % 38.30/5.92 | | | | | | | | | ALPHA: (232) implies: % 38.30/5.92 | | | | | | | | | (233) aNaturalNumber0(xl) = all_125_1 % 38.30/5.92 | | | | | | | | | (234) aNaturalNumber0(all_33_0) = all_125_0 % 38.30/5.92 | | | | | | | | | (235) ~ (all_125_0 = 0) | ~ (all_125_1 = 0) % 38.30/5.92 | | | | | | | | | % 38.30/5.93 | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_125_1, xl, % 38.30/5.93 | | | | | | | | | simplifying with (4), (233) gives: % 38.30/5.93 | | | | | | | | | (236) all_125_1 = 0 % 38.30/5.93 | | | | | | | | | % 38.30/5.93 | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_125_0, all_33_0, % 38.30/5.93 | | | | | | | | | simplifying with (230), (234) gives: % 38.30/5.93 | | | | | | | | | (237) all_125_0 = 0 % 38.30/5.93 | | | | | | | | | % 38.30/5.93 | | | | | | | | | BETA: splitting (235) gives: % 38.30/5.93 | | | | | | | | | % 38.30/5.93 | | | | | | | | | Case 1: % 38.30/5.93 | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | (238) ~ (all_125_0 = 0) % 38.30/5.93 | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | REDUCE: (237), (238) imply: % 38.30/5.93 | | | | | | | | | | (239) $false % 38.30/5.93 | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | CLOSE: (239) is inconsistent. % 38.30/5.93 | | | | | | | | | | % 38.30/5.93 | | | | | | | | | Case 2: % 38.30/5.93 | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | (240) ~ (all_125_1 = 0) % 38.30/5.93 | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | REDUCE: (236), (240) imply: % 38.30/5.93 | | | | | | | | | | (241) $false % 38.30/5.93 | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | CLOSE: (241) is inconsistent. % 38.30/5.93 | | | | | | | | | | % 38.30/5.93 | | | | | | | | | End of split % 38.30/5.93 | | | | | | | | | % 38.30/5.93 | | | | | | | | Case 2: % 38.30/5.93 | | | | | | | | | % 38.30/5.93 | | | | | | | | | (242) ? [v0: $i] : (sdtasdt0(xl, v0) = all_33_0 & % 38.30/5.93 | | | | | | | | | aNaturalNumber0(v0) = 0 & $i(v0)) % 38.30/5.93 | | | | | | | | | % 38.30/5.93 | | | | | | | | | DELTA: instantiating (242) with fresh symbol all_125_0 gives: % 38.30/5.93 | | | | | | | | | (243) sdtasdt0(xl, all_125_0) = all_33_0 & % 38.30/5.93 | | | | | | | | | aNaturalNumber0(all_125_0) = 0 & $i(all_125_0) % 38.30/5.93 | | | | | | | | | % 38.30/5.93 | | | | | | | | | ALPHA: (243) implies: % 38.30/5.93 | | | | | | | | | (244) $i(all_125_0) % 38.30/5.93 | | | | | | | | | (245) sdtasdt0(xl, all_125_0) = all_33_0 % 38.30/5.93 | | | | | | | | | % 38.30/5.93 | | | | | | | | | BETA: splitting (197) gives: % 38.30/5.93 | | | | | | | | | % 38.30/5.93 | | | | | | | | | Case 1: % 38.30/5.93 | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | (246) ~ (all_89_2 = 0) % 38.30/5.93 | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | REDUCE: (154), (246) imply: % 38.30/5.93 | | | | | | | | | | (247) $false % 38.30/5.93 | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | CLOSE: (247) is inconsistent. % 38.30/5.93 | | | | | | | | | | % 38.30/5.93 | | | | | | | | | Case 2: % 38.30/5.93 | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | (248) all_89_0 = 0 & ~ (xq = xp) % 38.30/5.93 | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | ALPHA: (248) implies: % 38.30/5.93 | | | | | | | | | | (249) all_89_0 = 0 % 38.30/5.93 | | | | | | | | | | (250) ~ (xq = xp) % 38.30/5.93 | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | REDUCE: (140), (249) imply: % 38.30/5.93 | | | | | | | | | | (251) sdtlseqdt0(xq, xp) = 0 % 38.30/5.93 | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | BETA: splitting (102) gives: % 38.30/5.93 | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | Case 1: % 38.30/5.93 | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | (252) ~ (all_65_1 = 0) % 38.30/5.93 | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | REDUCE: (167), (252) imply: % 38.30/5.93 | | | | | | | | | | | (253) $false % 38.30/5.93 | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | CLOSE: (253) is inconsistent. % 38.30/5.93 | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | Case 2: % 38.30/5.93 | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | (254) ~ (all_65_2 = 0) | all_65_0 = xm % 38.30/5.93 | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | BETA: splitting (254) gives: % 38.30/5.93 | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | Case 1: % 38.30/5.93 | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | (255) ~ (all_65_2 = 0) % 38.30/5.93 | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | REDUCE: (194), (255) imply: % 38.30/5.93 | | | | | | | | | | | | (256) $false % 38.30/5.93 | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | CLOSE: (256) is inconsistent. % 38.30/5.93 | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | Case 2: % 38.30/5.93 | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | (257) all_65_0 = xm % 38.30/5.93 | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | REDUCE: (101), (257) imply: % 38.30/5.93 | | | | | | | | | | | | (258) sdtasdt0(xp, xl) = xm % 38.30/5.93 | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | BETA: splitting (81) gives: % 38.30/5.93 | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | Case 1: % 38.30/5.93 | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | (259) xl = sz00 % 38.30/5.93 | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | REDUCE: (8), (259) imply: % 38.30/5.93 | | | | | | | | | | | | | (260) $false % 38.30/5.93 | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | CLOSE: (260) is inconsistent. % 38.30/5.93 | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | Case 2: % 38.30/5.93 | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | (261) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 38.30/5.93 | | | | | | | | | | | | | (doDivides0(xl, all_33_0) = v2 & % 38.30/5.93 | | | | | | | | | | | | | aNaturalNumber0(all_33_0) = v1 & % 38.30/5.93 | | | | | | | | | | | | | aNaturalNumber0(xl) = v0 & ( ~ (v2 = 0) | ~ (v1 % 38.30/5.93 | | | | | | | | | | | | | = 0) | ~ (v0 = 0))) | ( ! [v0: $i] : (v0 = % 38.30/5.93 | | | | | | | | | | | | | xq | ~ (sdtasdt0(xl, v0) = all_33_0) | ~ % 38.30/5.93 | | | | | | | | | | | | | $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & % 38.30/5.93 | | | | | | | | | | | | | aNaturalNumber0(v0) = v1)) & ! [v0: $i] : ( % 38.30/5.93 | | | | | | | | | | | | | ~ (sdtasdt0(xl, xq) = v0) | ~ $i(xq) | (v0 = % 38.30/5.93 | | | | | | | | | | | | | all_33_0 & aNaturalNumber0(xq) = 0))) % 38.30/5.93 | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | BETA: splitting (75) gives: % 38.30/5.93 | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | Case 1: % 38.30/5.93 | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | (262) xl = sz00 % 38.30/5.93 | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | REDUCE: (8), (262) imply: % 38.30/5.93 | | | | | | | | | | | | | | (263) $false % 38.30/5.93 | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | CLOSE: (263) is inconsistent. % 38.30/5.93 | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | Case 2: % 38.30/5.93 | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | (264) xq = xp | ? [v0: any] : ? [v1: any] : ? [v2: % 38.30/5.93 | | | | | | | | | | | | | | any] : ? [v3: any] : ? [v4: $i] : ? [v5: $i] % 38.30/5.93 | | | | | | | | | | | | | | : ? [v6: any] : (sdtlseqdt0(v4, v5) = v6 & % 38.30/5.93 | | | | | | | | | | | | | | sdtlseqdt0(xp, xq) = v3 & sdtasdt0(xq, xl) = v5 % 38.30/5.93 | | | | | | | | | | | | | | & sdtasdt0(xp, xl) = v4 & aNaturalNumber0(xq) = % 38.30/5.93 | | | | | | | | | | | | | | v2 & aNaturalNumber0(xp) = v1 & % 38.30/5.93 | | | | | | | | | | | | | | aNaturalNumber0(xl) = v0 & $i(v5) & $i(v4) & ( ~ % 38.30/5.93 | | | | | | | | | | | | | | (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 % 38.30/5.93 | | | | | | | | | | | | | | = 0) | (v6 = 0 & ~ (v5 = v4) & ~ (all_33_0 % 38.30/5.93 | | | | | | | | | | | | | | = xm)))) % 38.30/5.93 | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | BETA: splitting (127) gives: % 38.30/5.93 | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | Case 1: % 38.30/5.93 | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | (265) all_44_0 = xp % 38.30/5.93 | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | BETA: splitting (261) gives: % 38.30/5.93 | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | Case 1: % 38.30/5.93 | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | (266) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 38.30/5.93 | | | | | | | | | | | | | | | | (doDivides0(xl, all_33_0) = v2 & % 38.30/5.93 | | | | | | | | | | | | | | | | aNaturalNumber0(all_33_0) = v1 & % 38.30/5.93 | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = v0 & ( ~ (v2 = 0) | ~ (v1 % 38.30/5.93 | | | | | | | | | | | | | | | | = 0) | ~ (v0 = 0))) % 38.30/5.93 | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | DELTA: instantiating (266) with fresh symbols all_177_0, % 38.30/5.93 | | | | | | | | | | | | | | | | all_177_1, all_177_2 gives: % 38.30/5.93 | | | | | | | | | | | | | | | | (267) doDivides0(xl, all_33_0) = all_177_0 & % 38.30/5.93 | | | | | | | | | | | | | | | | aNaturalNumber0(all_33_0) = all_177_1 & % 38.30/5.93 | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = all_177_2 & ( ~ (all_177_0 = % 38.30/5.93 | | | | | | | | | | | | | | | | 0) | ~ (all_177_1 = 0) | ~ (all_177_2 = 0)) % 38.30/5.93 | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | ALPHA: (267) implies: % 38.30/5.93 | | | | | | | | | | | | | | | | (268) aNaturalNumber0(xl) = all_177_2 % 38.30/5.93 | | | | | | | | | | | | | | | | (269) aNaturalNumber0(all_33_0) = all_177_1 % 38.30/5.93 | | | | | | | | | | | | | | | | (270) doDivides0(xl, all_33_0) = all_177_0 % 38.30/5.93 | | | | | | | | | | | | | | | | (271) ~ (all_177_0 = 0) | ~ (all_177_1 = 0) | ~ % 38.30/5.93 | | | | | | | | | | | | | | | | (all_177_2 = 0) % 38.30/5.93 | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | BETA: splitting (124) gives: % 38.30/5.93 | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | Case 1: % 38.30/5.93 | | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | | (272) all_44_0 = xq % 38.30/5.93 | | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (272) imply: % 38.30/5.93 | | | | | | | | | | | | | | | | | (273) xq = xp % 38.30/5.93 | | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | | SIMP: (273) implies: % 38.30/5.93 | | | | | | | | | | | | | | | | | (274) xq = xp % 38.30/5.93 | | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | | REDUCE: (250), (274) imply: % 38.30/5.93 | | | | | | | | | | | | | | | | | (275) $false % 38.30/5.93 | | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | | CLOSE: (275) is inconsistent. % 38.30/5.93 | | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | Case 2: % 38.30/5.93 | | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_177_2, xl, % 38.30/5.93 | | | | | | | | | | | | | | | | | simplifying with (4), (268) gives: % 38.30/5.93 | | | | | | | | | | | | | | | | | (276) all_177_2 = 0 % 38.30/5.93 | | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_177_1, all_33_0, % 38.30/5.93 | | | | | | | | | | | | | | | | | simplifying with (230), (269) gives: % 38.30/5.93 | | | | | | | | | | | | | | | | | (277) all_177_1 = 0 % 38.30/5.93 | | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with 0, all_177_0, all_33_0, % 38.30/5.93 | | | | | | | | | | | | | | | | | xl, simplifying with (58), (270) gives: % 38.30/5.93 | | | | | | | | | | | | | | | | | (278) all_177_0 = 0 % 38.30/5.93 | | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | | BETA: splitting (271) gives: % 38.30/5.93 | | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | | Case 1: % 38.30/5.93 | | | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | | | (279) ~ (all_177_0 = 0) % 38.30/5.93 | | | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | | | REDUCE: (278), (279) imply: % 38.30/5.93 | | | | | | | | | | | | | | | | | | (280) $false % 38.30/5.93 | | | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | | | CLOSE: (280) is inconsistent. % 38.30/5.93 | | | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | | Case 2: % 38.30/5.93 | | | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | | | (281) ~ (all_177_1 = 0) | ~ (all_177_2 = 0) % 38.30/5.93 | | | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives: % 38.30/5.93 | | | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | | | Case 1: % 38.30/5.93 | | | | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | | | | (282) ~ (all_177_1 = 0) % 38.30/5.93 | | | | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | | | | REDUCE: (277), (282) imply: % 38.30/5.93 | | | | | | | | | | | | | | | | | | | (283) $false % 38.30/5.93 | | | | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | | | | CLOSE: (283) is inconsistent. % 38.30/5.93 | | | | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | | | Case 2: % 38.30/5.93 | | | | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | | | | (284) ~ (all_177_2 = 0) % 38.30/5.93 | | | | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | | | | REDUCE: (276), (284) imply: % 38.30/5.93 | | | | | | | | | | | | | | | | | | | (285) $false % 38.30/5.93 | | | | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | | | | CLOSE: (285) is inconsistent. % 38.30/5.93 | | | | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | | | End of split % 38.30/5.93 | | | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | | End of split % 38.30/5.93 | | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | | End of split % 38.30/5.93 | | | | | | | | | | | | | | | | % 38.30/5.93 | | | | | | | | | | | | | | | Case 2: % 38.30/5.93 | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | (286) ! [v0: $i] : (v0 = xq | ~ (sdtasdt0(xl, v0) = % 38.30/5.94 | | | | | | | | | | | | | | | | all_33_0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 % 38.30/5.94 | | | | | | | | | | | | | | | | = 0) & aNaturalNumber0(v0) = v1)) & ! [v0: % 38.30/5.94 | | | | | | | | | | | | | | | | $i] : ( ~ (sdtasdt0(xl, xq) = v0) | ~ $i(xq) | % 38.30/5.94 | | | | | | | | | | | | | | | | (v0 = all_33_0 & aNaturalNumber0(xq) = 0)) % 38.30/5.94 | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | ALPHA: (286) implies: % 38.30/5.94 | | | | | | | | | | | | | | | | (287) ! [v0: $i] : (v0 = xq | ~ (sdtasdt0(xl, v0) = % 38.30/5.94 | | | | | | | | | | | | | | | | all_33_0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 % 38.30/5.94 | | | | | | | | | | | | | | | | = 0) & aNaturalNumber0(v0) = v1)) % 38.30/5.94 | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (287) with all_46_0, simplifying % 38.30/5.94 | | | | | | | | | | | | | | | | with (51), (60) gives: % 38.30/5.94 | | | | | | | | | | | | | | | | (288) all_46_0 = xq | ? [v0: int] : ( ~ (v0 = 0) & % 38.30/5.94 | | | | | | | | | | | | | | | | aNaturalNumber0(all_46_0) = v0) % 38.30/5.94 | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | BETA: splitting (264) gives: % 38.30/5.94 | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | Case 1: % 38.30/5.94 | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | (289) xq = xp % 38.30/5.94 | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | REDUCE: (250), (289) imply: % 38.30/5.94 | | | | | | | | | | | | | | | | | (290) $false % 38.30/5.94 | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | CLOSE: (290) is inconsistent. % 38.30/5.94 | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | Case 2: % 38.30/5.94 | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | (291) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 38.30/5.94 | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6: % 38.30/5.94 | | | | | | | | | | | | | | | | | any] : (sdtlseqdt0(v4, v5) = v6 & sdtlseqdt0(xp, % 38.30/5.94 | | | | | | | | | | | | | | | | | xq) = v3 & sdtasdt0(xq, xl) = v5 & % 38.30/5.94 | | | | | | | | | | | | | | | | | sdtasdt0(xp, xl) = v4 & aNaturalNumber0(xq) = v2 % 38.30/5.94 | | | | | | | | | | | | | | | | | & aNaturalNumber0(xp) = v1 & aNaturalNumber0(xl) % 38.30/5.94 | | | | | | | | | | | | | | | | | = v0 & $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = % 38.30/5.94 | | | | | | | | | | | | | | | | | 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v6 = 0 & % 38.30/5.94 | | | | | | | | | | | | | | | | | ~ (v5 = v4) & ~ (all_33_0 = xm)))) % 38.30/5.94 | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | DELTA: instantiating (291) with fresh symbols all_180_0, % 38.30/5.94 | | | | | | | | | | | | | | | | | all_180_1, all_180_2, all_180_3, all_180_4, % 38.30/5.94 | | | | | | | | | | | | | | | | | all_180_5, all_180_6 gives: % 38.30/5.94 | | | | | | | | | | | | | | | | | (292) sdtlseqdt0(all_180_2, all_180_1) = all_180_0 & % 38.30/5.94 | | | | | | | | | | | | | | | | | sdtlseqdt0(xp, xq) = all_180_3 & sdtasdt0(xq, xl) % 38.30/5.94 | | | | | | | | | | | | | | | | | = all_180_1 & sdtasdt0(xp, xl) = all_180_2 & % 38.30/5.94 | | | | | | | | | | | | | | | | | aNaturalNumber0(xq) = all_180_4 & % 38.30/5.94 | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_180_5 & % 38.30/5.94 | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = all_180_6 & $i(all_180_1) & % 38.30/5.94 | | | | | | | | | | | | | | | | | $i(all_180_2) & ( ~ (all_180_3 = 0) | ~ % 38.30/5.94 | | | | | | | | | | | | | | | | | (all_180_4 = 0) | ~ (all_180_5 = 0) | ~ % 38.30/5.94 | | | | | | | | | | | | | | | | | (all_180_6 = 0) | (all_180_0 = 0 & ~ (all_180_1 % 38.30/5.94 | | | | | | | | | | | | | | | | | = all_180_2) & ~ (all_33_0 = xm))) % 38.30/5.94 | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | ALPHA: (292) implies: % 38.30/5.94 | | | | | | | | | | | | | | | | | (293) aNaturalNumber0(xl) = all_180_6 % 38.30/5.94 | | | | | | | | | | | | | | | | | (294) aNaturalNumber0(xp) = all_180_5 % 38.30/5.94 | | | | | | | | | | | | | | | | | (295) aNaturalNumber0(xq) = all_180_4 % 38.30/5.94 | | | | | | | | | | | | | | | | | (296) sdtasdt0(xp, xl) = all_180_2 % 38.30/5.94 | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | BETA: splitting (131) gives: % 38.30/5.94 | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | Case 1: % 38.30/5.94 | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | (297) all_46_0 = xq % 38.30/5.94 | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | REDUCE: (106), (297) imply: % 38.30/5.94 | | | | | | | | | | | | | | | | | | (298) sdtasdt0(xq, xl) = all_67_0 % 38.30/5.94 | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | BETA: splitting (133) gives: % 38.30/5.94 | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | Case 1: % 38.30/5.94 | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | (299) all_46_0 = xp % 38.30/5.94 | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (299) imply: % 38.30/5.94 | | | | | | | | | | | | | | | | | | | (300) xq = xp % 38.30/5.94 | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | SIMP: (300) implies: % 38.30/5.94 | | | | | | | | | | | | | | | | | | | (301) xq = xp % 38.30/5.94 | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | REDUCE: (250), (301) imply: % 38.30/5.94 | | | | | | | | | | | | | | | | | | | (302) $false % 38.30/5.94 | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | CLOSE: (302) is inconsistent. % 38.30/5.94 | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | Case 2: % 38.30/5.94 | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | (303) ~ (all_46_0 = xp) % 38.30/5.94 | | | | | | | | | | | | | | | | | | | (304) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? % 38.30/5.94 | | | | | | | | | | | | | | | | | | | [v3: $i] : (sdtasdt0(all_46_0, xl) = v2 & % 38.30/5.94 | | | | | | | | | | | | | | | | | | | sdtasdt0(xp, xl) = v3 & % 38.30/5.94 | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_46_0) = v0 & % 38.30/5.94 | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v1 & $i(v3) & $i(v2) & ( ~ % 38.30/5.94 | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~ % 38.30/5.94 | | | | | | | | | | | | | | | | | | | (all_33_0 = xm)))) % 38.30/5.94 | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (304) with fresh symbols all_193_0, % 38.30/5.94 | | | | | | | | | | | | | | | | | | | all_193_1, all_193_2, all_193_3 gives: % 38.30/5.94 | | | | | | | | | | | | | | | | | | | (305) sdtasdt0(all_46_0, xl) = all_193_1 & sdtasdt0(xp, % 38.30/5.94 | | | | | | | | | | | | | | | | | | | xl) = all_193_0 & aNaturalNumber0(all_46_0) = % 38.30/5.94 | | | | | | | | | | | | | | | | | | | all_193_3 & aNaturalNumber0(xp) = all_193_2 & % 38.30/5.94 | | | | | | | | | | | | | | | | | | | $i(all_193_0) & $i(all_193_1) & ( ~ (all_193_2 = % 38.30/5.94 | | | | | | | | | | | | | | | | | | | 0) | ~ (all_193_3 = 0) | ( ~ (all_193_0 = % 38.30/5.94 | | | | | | | | | | | | | | | | | | | all_193_1) & ~ (all_33_0 = xm))) % 38.30/5.94 | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | ALPHA: (305) implies: % 38.30/5.94 | | | | | | | | | | | | | | | | | | | (306) aNaturalNumber0(xp) = all_193_2 % 38.30/5.94 | | | | | | | | | | | | | | | | | | | (307) aNaturalNumber0(all_46_0) = all_193_3 % 38.30/5.94 | | | | | | | | | | | | | | | | | | | (308) sdtasdt0(xp, xl) = all_193_0 % 38.30/5.94 | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | REDUCE: (297), (307) imply: % 38.30/5.94 | | | | | | | | | | | | | | | | | | | (309) aNaturalNumber0(xq) = all_193_3 % 38.30/5.94 | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives: % 38.30/5.94 | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | Case 1: % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | (310) ~ (all_67_1 = 0) % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (310) imply: % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | (311) $false % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | CLOSE: (311) is inconsistent. % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | Case 2: % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | (312) ~ (all_67_2 = 0) | all_67_0 = all_33_0 % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | BETA: splitting (74) gives: % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | Case 1: % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | (313) xl = sz00 % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (313) imply: % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | (314) $false % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | CLOSE: (314) is inconsistent. % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | Case 2: % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | (315) all_46_0 = all_44_0 | ? [v0: any] : ? [v1: any] % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | : ? [v2: any] : ? [v3: any] : ? [v4: $i] : ? % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | [v5: $i] : ? [v6: any] : (sdtlseqdt0(v4, v5) = v6 % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | & sdtlseqdt0(all_44_0, all_46_0) = v3 & % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | sdtasdt0(all_46_0, xl) = v5 & sdtasdt0(all_44_0, % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | xl) = v4 & aNaturalNumber0(all_46_0) = v2 & % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_44_0) = v1 & % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = v0 & $i(v5) & $i(v4) & ( ~ % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | = 0) | (v6 = 0 & ~ (v5 = v4) & ~ (all_33_0 % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | = xm)))) % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (129) gives: % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | Case 1: % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | (316) all_46_0 = all_44_0 % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (316) imply: % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | (317) all_44_0 = xq % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (317) imply: % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | (318) xq = xp % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | SIMP: (318) implies: % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | (319) xq = xp % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (250), (319) imply: % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | (320) $false % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (320) is inconsistent. % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | Case 2: % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | (321) ~ (all_46_0 = all_44_0) % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | (322) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : (sdtasdt0(all_46_0, xl) = v2 & % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(all_44_0, xl) = v3 & % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_46_0) = v0 & % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_44_0) = v1 & $i(v3) & $i(v2) % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | ~ (all_33_0 = xm)))) % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (322) with fresh symbols all_206_0, % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | all_206_1, all_206_2, all_206_3 gives: % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | (323) sdtasdt0(all_46_0, xl) = all_206_1 & % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(all_44_0, xl) = all_206_0 & % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_46_0) = all_206_3 & % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_44_0) = all_206_2 & % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | $i(all_206_0) & $i(all_206_1) & ( ~ (all_206_2 = % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_206_3 = 0) | ( ~ (all_206_0 = % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | all_206_1) & ~ (all_33_0 = xm))) % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (323) implies: % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | (324) aNaturalNumber0(all_44_0) = all_206_2 % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | (325) aNaturalNumber0(all_46_0) = all_206_3 % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | (326) sdtasdt0(all_44_0, xl) = all_206_0 % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (326) imply: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | (327) sdtasdt0(xp, xl) = all_206_0 % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (297), (325) imply: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | (328) aNaturalNumber0(xq) = all_206_3 % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (324) imply: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | (329) aNaturalNumber0(xp) = all_206_2 % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | (330) ~ (all_67_2 = 0) % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (178), (330) imply: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | (331) $false % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (331) is inconsistent. % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | (332) all_67_0 = all_33_0 % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (298), (332) imply: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | (333) sdtasdt0(xq, xl) = all_33_0 % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (315) gives: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | (334) all_46_0 = all_44_0 % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (334) imply: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | (335) all_44_0 = xq % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (335) imply: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | (336) xq = xp % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (336) implies: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | (337) xq = xp % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (250), (337) imply: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | (338) $false % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (338) is inconsistent. % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | (339) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | any] : (sdtlseqdt0(v4, v5) = v6 & % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | sdtlseqdt0(all_44_0, all_46_0) = v3 & % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(all_46_0, xl) = v5 & sdtasdt0(all_44_0, % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | xl) = v4 & aNaturalNumber0(all_46_0) = v2 & % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_44_0) = v1 & % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = v0 & $i(v5) & $i(v4) & ( ~ % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | = 0) | (v6 = 0 & ~ (v5 = v4) & ~ (all_33_0 % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | = xm)))) % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (339) with fresh symbols all_215_0, % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | all_215_1, all_215_2, all_215_3, all_215_4, % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | all_215_5, all_215_6 gives: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | (340) sdtlseqdt0(all_215_2, all_215_1) = all_215_0 & % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | sdtlseqdt0(all_44_0, all_46_0) = all_215_3 & % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(all_46_0, xl) = all_215_1 & % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(all_44_0, xl) = all_215_2 & % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_46_0) = all_215_4 & % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_44_0) = all_215_5 & % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = all_215_6 & $i(all_215_1) & % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_215_2) & ( ~ (all_215_3 = 0) | ~ % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | (all_215_4 = 0) | ~ (all_215_5 = 0) | ~ % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | (all_215_6 = 0) | (all_215_0 = 0 & ~ (all_215_1 % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | = all_215_2) & ~ (all_33_0 = xm))) % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (340) implies: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | (341) aNaturalNumber0(xl) = all_215_6 % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | (342) aNaturalNumber0(all_44_0) = all_215_5 % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | (343) aNaturalNumber0(all_46_0) = all_215_4 % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | (344) sdtasdt0(all_44_0, xl) = all_215_2 % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (344) imply: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | (345) sdtasdt0(xp, xl) = all_215_2 % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (297), (343) imply: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | (346) aNaturalNumber0(xq) = all_215_4 % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (342) imply: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | (347) aNaturalNumber0(xp) = all_215_5 % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (132) gives: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | (348) all_46_0 = xp % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (348) imply: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | (349) xq = xp % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (349) implies: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | (350) xq = xp % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (250), (350) imply: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | (351) $false % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (351) is inconsistent. % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | (352) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : (sdtasdt0(all_46_0, xl) = v3 & % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(xp, xl) = v2 & % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_46_0) = v1 & % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v0 & $i(v3) & $i(v2) & ( ~ % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~ % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | (all_33_0 = xm)))) % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (352) with fresh symbols all_229_0, % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | all_229_1, all_229_2, all_229_3 gives: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | (353) sdtasdt0(all_46_0, xl) = all_229_0 & sdtasdt0(xp, % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | xl) = all_229_1 & aNaturalNumber0(all_46_0) = % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | all_229_2 & aNaturalNumber0(xp) = all_229_3 & % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_229_0) & $i(all_229_1) & ( ~ (all_229_2 = % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_229_3 = 0) | ( ~ (all_229_0 = % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | all_229_1) & ~ (all_33_0 = xm))) % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (353) implies: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | (354) aNaturalNumber0(xp) = all_229_3 % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | (355) aNaturalNumber0(all_46_0) = all_229_2 % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | (356) sdtasdt0(xp, xl) = all_229_1 % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | (357) sdtasdt0(all_46_0, xl) = all_229_0 % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (297), (357) imply: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | (358) sdtasdt0(xq, xl) = all_229_0 % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (297), (355) imply: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | (359) aNaturalNumber0(xq) = all_229_2 % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (128) gives: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (360) all_46_0 = all_44_0 % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (360) imply: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (361) all_44_0 = xq % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (361) imply: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (362) xq = xp % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (362) implies: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (363) xq = xp % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (250), (363) imply: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (364) $false % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (364) is inconsistent. % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (365) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : (sdtasdt0(all_46_0, xl) = v3 & % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(all_44_0, xl) = v2 & % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_46_0) = v1 & % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_44_0) = v0 & $i(v3) & $i(v2) % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_33_0 = xm)))) % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (365) with fresh symbols all_235_0, % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | all_235_1, all_235_2, all_235_3 gives: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (366) sdtasdt0(all_46_0, xl) = all_235_0 & % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(all_44_0, xl) = all_235_1 & % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_46_0) = all_235_2 & % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_44_0) = all_235_3 & % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_235_0) & $i(all_235_1) & ( ~ (all_235_2 = % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_235_3 = 0) | ( ~ (all_235_0 = % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | all_235_1) & ~ (all_33_0 = xm))) % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (366) implies: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (367) aNaturalNumber0(all_44_0) = all_235_3 % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (368) aNaturalNumber0(all_46_0) = all_235_2 % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (369) sdtasdt0(all_44_0, xl) = all_235_1 % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (369) imply: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (370) sdtasdt0(xp, xl) = all_235_1 % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (297), (368) imply: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (371) aNaturalNumber0(xq) = all_235_2 % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (367) imply: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (372) aNaturalNumber0(xp) = all_235_3 % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (125) gives: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (373) all_44_0 = xq % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (373) imply: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (374) xq = xp % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (250), (374) imply: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (375) $false % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (375) is inconsistent. % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (376) ~ (all_44_0 = xq) % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (377) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : (sdtasdt0(all_44_0, xl) = v2 & % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(xq, xl) = v3 & % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_44_0) = v0 & % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xq) = v1 & $i(v3) & $i(v2) & ( ~ % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~ % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_33_0 = xm)))) % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (376) imply: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (378) ~ (xq = xp) % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (377) with fresh symbols all_245_0, % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_245_1, all_245_2, all_245_3 gives: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (379) sdtasdt0(all_44_0, xl) = all_245_1 & sdtasdt0(xq, % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | xl) = all_245_0 & aNaturalNumber0(all_44_0) = % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_245_3 & aNaturalNumber0(xq) = all_245_2 & % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_245_0) & $i(all_245_1) & ( ~ (all_245_2 = % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_245_3 = 0) | ( ~ (all_245_0 = % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_245_1) & ~ (all_33_0 = xm))) % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (379) implies: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (380) aNaturalNumber0(xq) = all_245_2 % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (381) aNaturalNumber0(all_44_0) = all_245_3 % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (382) sdtasdt0(xq, xl) = all_245_0 % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (383) sdtasdt0(all_44_0, xl) = all_245_1 % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (384) ~ (all_245_2 = 0) | ~ (all_245_3 = 0) | ( ~ % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_245_0 = all_245_1) & ~ (all_33_0 = xm)) % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (383) imply: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (385) sdtasdt0(xp, xl) = all_245_1 % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (381) imply: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (386) aNaturalNumber0(xp) = all_245_3 % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (123) gives: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387) xq = xp % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (250), (387) imply: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (388) $false % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (388) is inconsistent. % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (389) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : (sdtasdt0(xq, xl) = v2 & sdtasdt0(xp, % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | xl) = v3 & aNaturalNumber0(xq) = v0 & % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v1 & $i(v3) & $i(v2) & ( ~ % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~ % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_33_0 = xm)))) % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (389) with fresh symbols all_251_0, % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_251_1, all_251_2, all_251_3 gives: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (390) sdtasdt0(xq, xl) = all_251_1 & sdtasdt0(xp, xl) = % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_251_0 & aNaturalNumber0(xq) = all_251_3 & % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_251_2 & $i(all_251_0) & % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_251_1) & ( ~ (all_251_2 = 0) | ~ % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_251_3 = 0) | ( ~ (all_251_0 = all_251_1) & % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_33_0 = xm))) % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (390) implies: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (391) aNaturalNumber0(xp) = all_251_2 % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (392) aNaturalNumber0(xq) = all_251_3 % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (393) sdtasdt0(xp, xl) = all_251_0 % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (394) sdtasdt0(xq, xl) = all_251_1 % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (122) gives: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (395) xq = xp % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (250), (395) imply: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (396) $false % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (396) is inconsistent. % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (397) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : (sdtasdt0(xq, xl) = v3 & sdtasdt0(xp, % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xl) = v2 & aNaturalNumber0(xq) = v1 & % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v0 & $i(v3) & $i(v2) & ( ~ % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~ % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_33_0 = xm)))) % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (397) with fresh symbols all_257_0, % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_257_1, all_257_2, all_257_3 gives: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (398) sdtasdt0(xq, xl) = all_257_0 & sdtasdt0(xp, xl) = % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_257_1 & aNaturalNumber0(xq) = all_257_2 & % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_257_3 & $i(all_257_0) & % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_257_1) & ( ~ (all_257_2 = 0) | ~ % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_257_3 = 0) | ( ~ (all_257_0 = all_257_1) & % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_33_0 = xm))) % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (398) implies: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (399) aNaturalNumber0(xp) = all_257_3 % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (400) aNaturalNumber0(xq) = all_257_2 % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (401) sdtasdt0(xp, xl) = all_257_1 % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (402) sdtasdt0(xq, xl) = all_257_0 % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (124) gives: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (403) all_44_0 = xq % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (403) imply: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (404) xq = xp % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (250), (404) imply: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (405) $false % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (405) is inconsistent. % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (406) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : (sdtasdt0(all_44_0, xl) = v3 & % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(xq, xl) = v2 & % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_44_0) = v1 & % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xq) = v0 & $i(v3) & $i(v2) & ( ~ % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~ % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_33_0 = xm)))) % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (406) with fresh symbols all_263_0, % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_263_1, all_263_2, all_263_3 gives: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (407) sdtasdt0(all_44_0, xl) = all_263_0 & sdtasdt0(xq, % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xl) = all_263_1 & aNaturalNumber0(all_44_0) = % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_263_2 & aNaturalNumber0(xq) = all_263_3 & % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_263_0) & $i(all_263_1) & ( ~ (all_263_2 = % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_263_3 = 0) | ( ~ (all_263_0 = % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_263_1) & ~ (all_33_0 = xm))) % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (407) implies: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (408) aNaturalNumber0(xq) = all_263_3 % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (409) aNaturalNumber0(all_44_0) = all_263_2 % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (410) sdtasdt0(all_44_0, xl) = all_263_0 % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (410) imply: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (411) sdtasdt0(xp, xl) = all_263_0 % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (409) imply: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (412) aNaturalNumber0(xp) = all_263_2 % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_215_6, xl, % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4), (341) gives: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (413) all_215_6 = 0 % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_180_6, all_215_6, xl, % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (293), (341) gives: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (414) all_215_6 = all_180_6 % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_215_5, all_245_3, xp, % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (347), (386) gives: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (415) all_245_3 = all_215_5 % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_206_2, all_245_3, xp, % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (329), (386) gives: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (416) all_245_3 = all_206_2 % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_193_2, all_245_3, xp, % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (306), (386) gives: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (417) all_245_3 = all_193_2 % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_251_2, xp, % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (391) gives: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (418) all_251_2 = 0 % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_193_2, all_251_2, xp, % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (306), (391) gives: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (419) all_251_2 = all_193_2 % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_235_3, all_257_3, xp, % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (372), (399) gives: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (420) all_257_3 = all_235_3 % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_180_5, all_257_3, xp, % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (294), (399) gives: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (421) all_257_3 = all_180_5 % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_235_3, all_263_2, xp, % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (372), (412) gives: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (422) all_263_2 = all_235_3 % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_229_3, all_263_2, xp, % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (354), (412) gives: % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (423) all_263_2 = all_229_3 % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_215_5, all_263_2, xp, % 38.30/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (347), (412) gives: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (424) all_263_2 = all_215_5 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_193_3, xq, % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (26), (309) gives: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (425) all_193_3 = 0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_215_4, all_235_2, xq, % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (346), (371) gives: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (426) all_235_2 = all_215_4 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_193_3, all_235_2, xq, % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (309), (371) gives: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (427) all_235_2 = all_193_3 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_235_2, all_245_2, xq, % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (371), (380) gives: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (428) all_245_2 = all_235_2 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_229_2, all_245_2, xq, % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (359), (380) gives: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (429) all_245_2 = all_229_2 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_245_2, all_251_3, xq, % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (380), (392) gives: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (430) all_251_3 = all_245_2 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_251_3, all_257_2, xq, % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (392), (400) gives: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (431) all_257_2 = all_251_3 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_206_3, all_257_2, xq, % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (328), (400) gives: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (432) all_257_2 = all_206_3 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_235_2, all_263_3, xq, % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (371), (408) gives: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (433) all_263_3 = all_235_2 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_180_4, all_263_3, xq, % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (295), (408) gives: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (434) all_263_3 = all_180_4 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_180_2, all_206_0, xl, % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xp, simplifying with (296), (327) gives: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (435) all_206_0 = all_180_2 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_206_0, all_215_2, xl, % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xp, simplifying with (327), (345) gives: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (436) all_215_2 = all_206_0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_215_2, all_229_1, xl, % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xp, simplifying with (345), (356) gives: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (437) all_229_1 = all_215_2 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_229_1, all_235_1, xl, % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xp, simplifying with (356), (370) gives: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (438) all_235_1 = all_229_1 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_235_1, all_245_1, xl, % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xp, simplifying with (370), (385) gives: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (439) all_245_1 = all_235_1 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_206_0, all_257_1, xl, % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xp, simplifying with (327), (401) gives: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (440) all_257_1 = all_206_0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with xm, all_257_1, xl, xp, % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (258), (401) gives: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (441) all_257_1 = xm % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_251_0, all_263_0, xl, % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xp, simplifying with (393), (411) gives: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (442) all_263_0 = all_251_0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_245_1, all_263_0, xl, % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xp, simplifying with (385), (411) gives: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (443) all_263_0 = all_245_1 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_193_0, all_263_0, xl, % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xp, simplifying with (308), (411) gives: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (444) all_263_0 = all_193_0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_229_0, all_245_0, xl, % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xq, simplifying with (358), (382) gives: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (445) all_245_0 = all_229_0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_251_1, all_257_0, xl, % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xq, simplifying with (394), (402) gives: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (446) all_257_0 = all_251_1 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_245_0, all_257_0, xl, % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xq, simplifying with (382), (402) gives: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (447) all_257_0 = all_245_0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_33_0, all_257_0, xl, % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xq, simplifying with (333), (402) gives: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (448) all_257_0 = all_33_0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (442), (444) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (449) all_251_0 = all_193_0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (442), (443) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (450) all_251_0 = all_245_1 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (423) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (451) all_235_3 = all_229_3 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (451) implies: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (452) all_235_3 = all_229_3 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (423), (424) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (453) all_229_3 = all_215_5 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (433), (434) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (454) all_235_2 = all_180_4 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (454) implies: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (455) all_235_2 = all_180_4 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (447) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (456) all_251_1 = all_245_0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (448) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (457) all_251_1 = all_33_0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (440), (441) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (458) all_206_0 = xm % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (458) implies: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (459) all_206_0 = xm % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (432) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (460) all_251_3 = all_206_3 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (460) implies: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (461) all_251_3 = all_206_3 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (421) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (462) all_235_3 = all_180_5 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (462) implies: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (463) all_235_3 = all_180_5 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (449), (450) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (464) all_245_1 = all_193_0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (464) implies: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (465) all_245_1 = all_193_0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (457) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (466) all_245_0 = all_33_0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (466) implies: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (467) all_245_0 = all_33_0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (418), (419) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (468) all_193_2 = 0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (468) implies: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (469) all_193_2 = 0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (461) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (470) all_245_2 = all_206_3 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (470) implies: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (471) all_245_2 = all_206_3 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (445), (467) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (472) all_229_0 = all_33_0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (465) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (473) all_235_1 = all_193_0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (473) implies: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (474) all_235_1 = all_193_0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (428), (429) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (475) all_235_2 = all_229_2 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (475) implies: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (476) all_235_2 = all_229_2 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (471) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (477) all_229_2 = all_206_3 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (416) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (478) all_215_5 = all_206_2 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (478) implies: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (479) all_215_5 = all_206_2 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (417) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (480) all_206_2 = all_193_2 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (438), (474) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (481) all_229_1 = all_193_0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (481) implies: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (482) all_229_1 = all_193_0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (426), (427) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (483) all_215_4 = all_193_3 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (426), (455) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (484) all_215_4 = all_180_4 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (426), (476) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (485) all_229_2 = all_215_4 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (485) implies: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (486) all_229_2 = all_215_4 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (463) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (487) all_229_3 = all_180_5 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (487) implies: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (488) all_229_3 = all_180_5 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (437), (482) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (489) all_215_2 = all_193_0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (489) implies: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (490) all_215_2 = all_193_0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (486) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (491) all_215_4 = all_206_3 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (491) implies: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (492) all_215_4 = all_206_3 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (488) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (493) all_215_5 = all_180_5 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (493) implies: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (494) all_215_5 = all_180_5 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (436), (490) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (495) all_206_0 = all_193_0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (495) implies: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (496) all_206_0 = all_193_0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (492) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (497) all_206_3 = all_180_4 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (492) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (498) all_206_3 = all_193_3 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (494) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (499) all_206_2 = all_180_5 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (499) implies: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (500) all_206_2 = all_180_5 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (414) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (501) all_180_6 = 0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (496) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (502) all_193_0 = all_180_2 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (459), (496) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (503) all_193_0 = xm % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (480), (500) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (504) all_193_2 = all_180_5 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (504) implies: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (505) all_193_2 = all_180_5 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (498) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (506) all_193_3 = all_180_4 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (506) implies: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (507) all_193_3 = all_180_4 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (502), (503) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (508) all_180_2 = xm % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (469), (505) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (509) all_180_5 = 0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (507) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (510) all_180_4 = 0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (510) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (511) all_206_3 = 0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (509) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (512) all_206_2 = 0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (511) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (513) all_229_2 = 0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (512) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (514) all_245_3 = 0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (513) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (515) all_245_2 = 0 % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (465), (503) imply: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (516) all_245_1 = xm % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (384) gives: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 38.30/5.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (517) ~ (all_245_2 = 0) % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (515), (517) imply: % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (518) $false % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (518) is inconsistent. % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (519) ~ (all_245_3 = 0) | ( ~ (all_245_0 = all_245_1) & % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_33_0 = xm)) % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (519) gives: % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (520) ~ (all_245_3 = 0) % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (514), (520) imply: % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (521) $false % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (521) is inconsistent. % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (522) ~ (all_245_0 = all_245_1) & ~ (all_33_0 = xm) % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (522) implies: % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (523) ~ (all_245_0 = all_245_1) % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (467), (516), (523) imply: % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (524) ~ (all_33_0 = xm) % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives: % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (525) all_33_0 = xm % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (524), (525) imply: % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (526) $false % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (526) is inconsistent. % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (527) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtlseqdt0(all_33_0, xm) = v2 & % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_33_0) = v1 & % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = v0 & ( ~ (v2 = 0) | ~ (v1 % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | ~ (v0 = 0))) % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (527) with fresh symbols all_292_0, % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_292_1, all_292_2 gives: % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (528) sdtlseqdt0(all_33_0, xm) = all_292_0 & % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_33_0) = all_292_1 & % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_292_2 & ( ~ (all_292_0 = % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_292_1 = 0) | ~ (all_292_2 = 0)) % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (528) implies: % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (529) aNaturalNumber0(xm) = all_292_2 % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (530) aNaturalNumber0(all_33_0) = all_292_1 % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (531) sdtlseqdt0(all_33_0, xm) = all_292_0 % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (532) ~ (all_292_0 = 0) | ~ (all_292_1 = 0) | ~ % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_292_2 = 0) % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_292_2, xm, % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (5), (529) gives: % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (533) all_292_2 = 0 % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_292_1, all_33_0, % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (230), (530) gives: % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (534) all_292_1 = 0 % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (532) gives: % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (535) ~ (all_292_0 = 0) % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xl, all_109_0, xm, % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (223), (224) gives: % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (536) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(all_109_0, xl) = v2 & % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_109_0) = v1 & % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = v0 & $i(v2) & ( ~ (v1 = 0) % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = xm)) % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xl, all_125_0, % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_33_0, simplifying with (12), (244), (245) % 38.30/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (537) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(all_125_0, xl) = v2 & % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_125_0) = v1 & % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = v0 & $i(v2) & ( ~ (v1 = 0) % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = all_33_0)) % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with xl, xq, xp, all_33_0, xm, % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_292_0, simplifying with (10), (12), (17), % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18), (28), (531) gives: % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (538) xq = xp | xl = sz00 | ? [v0: any] : ? [v1: any] % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | : ? [v2: any] : ? [v3: any] : ? [v4: $i] : ? % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v5: $i] : ? [v6: any] : (sdtlseqdt0(v4, v5) = v6 % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & sdtlseqdt0(xq, xp) = v3 & sdtasdt0(xq, xl) = % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v4 & sdtasdt0(xp, xl) = v5 & aNaturalNumber0(xq) % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v1 & aNaturalNumber0(xp) = v2 & % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = v0 & $i(v5) & $i(v4) & ( ~ % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | (v6 = 0 & all_292_0 = 0 & ~ (v5 = % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v4) & ~ (all_33_0 = xm)))) % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (537) with fresh symbols all_309_0, % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_309_1, all_309_2 gives: % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (539) sdtasdt0(all_125_0, xl) = all_309_0 & % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_125_0) = all_309_1 & % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = all_309_2 & $i(all_309_0) & % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_309_1 = 0) | ~ (all_309_2 = 0) | % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_309_0 = all_33_0) % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (539) implies: % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (540) aNaturalNumber0(xl) = all_309_2 % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (536) with fresh symbols all_311_0, % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_311_1, all_311_2 gives: % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (541) sdtasdt0(all_109_0, xl) = all_311_0 & % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_109_0) = all_311_1 & % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = all_311_2 & $i(all_311_0) & % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_311_1 = 0) | ~ (all_311_2 = 0) | % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_311_0 = xm) % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (541) implies: % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (542) aNaturalNumber0(xl) = all_311_2 % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (538) gives: % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (543) xl = sz00 % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (543) imply: % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (544) $false % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (544) is inconsistent. % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (545) xq = xp | ? [v0: any] : ? [v1: any] : ? [v2: % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v3: any] : ? [v4: $i] : ? [v5: $i] % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | : ? [v6: any] : (sdtlseqdt0(v4, v5) = v6 & % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtlseqdt0(xq, xp) = v3 & sdtasdt0(xq, xl) = v4 % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & sdtasdt0(xp, xl) = v5 & aNaturalNumber0(xq) = % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v1 & aNaturalNumber0(xp) = v2 & % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = v0 & $i(v5) & $i(v4) & ( ~ % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | (v6 = 0 & all_292_0 = 0 & ~ (v5 = % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v4) & ~ (all_33_0 = xm)))) % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (545) gives: % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (546) xq = xp % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (250), (546) imply: % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (547) $false % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (547) is inconsistent. % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (548) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6: % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | any] : (sdtlseqdt0(v4, v5) = v6 & sdtlseqdt0(xq, % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xp) = v3 & sdtasdt0(xq, xl) = v4 & % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(xp, xl) = v5 & aNaturalNumber0(xq) = v1 % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xl) % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v0 & $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v6 = 0 & % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_292_0 = 0 & ~ (v5 = v4) & ~ (all_33_0 % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = xm)))) % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (548) with fresh symbols all_330_0, % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_330_1, all_330_2, all_330_3, all_330_4, % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_330_5, all_330_6 gives: % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (549) sdtlseqdt0(all_330_2, all_330_1) = all_330_0 & % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtlseqdt0(xq, xp) = all_330_3 & sdtasdt0(xq, xl) % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_330_2 & sdtasdt0(xp, xl) = all_330_1 & % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xq) = all_330_5 & % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_330_4 & % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xl) = all_330_6 & $i(all_330_1) & % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_330_2) & ( ~ (all_330_3 = 0) | ~ % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_330_4 = 0) | ~ (all_330_5 = 0) | ~ % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_330_6 = 0) | (all_330_0 = 0 & all_292_0 = 0 % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_330_1 = all_330_2) & ~ (all_33_0 = % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xm))) % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (549) implies: % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (550) aNaturalNumber0(xl) = all_330_6 % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (551) aNaturalNumber0(xp) = all_330_4 % 38.68/5.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (552) aNaturalNumber0(xq) = all_330_5 % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (553) sdtlseqdt0(xq, xp) = all_330_3 % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (554) ~ (all_330_3 = 0) | ~ (all_330_4 = 0) | ~ % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_330_5 = 0) | ~ (all_330_6 = 0) | (all_330_0 % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0 & all_292_0 = 0 & ~ (all_330_1 = all_330_2) % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_33_0 = xm)) % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_311_2, xl, % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4), (542) gives: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (555) all_311_2 = 0 % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_311_2, all_330_6, xl, % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (542), (550) gives: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (556) all_330_6 = all_311_2 % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_309_2, all_330_6, xl, % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (540), (550) gives: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (557) all_330_6 = all_309_2 % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_330_4, xp, % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (551) gives: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (558) all_330_4 = 0 % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_330_5, xq, % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (26), (552) gives: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (559) all_330_5 = 0 % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with 0, all_330_3, xp, xq, % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (251), (553) gives: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (560) all_330_3 = 0 % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (556), (557) imply: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (561) all_311_2 = all_309_2 % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (561) implies: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562) all_311_2 = all_309_2 % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (555), (562) imply: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (563) all_309_2 = 0 % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (563) implies: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (564) all_309_2 = 0 % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (557), (564) imply: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (565) all_330_6 = 0 % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (554) gives: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (566) ~ (all_330_3 = 0) % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (560), (566) imply: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (567) $false % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (567) is inconsistent. % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (568) ~ (all_330_4 = 0) | ~ (all_330_5 = 0) | ~ % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_330_6 = 0) | (all_330_0 = 0 & all_292_0 = 0 & % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_330_1 = all_330_2) & ~ (all_33_0 = xm)) % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (568) gives: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (569) ~ (all_330_4 = 0) % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (558), (569) imply: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (570) $false % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (570) is inconsistent. % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (571) ~ (all_330_5 = 0) | ~ (all_330_6 = 0) | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_330_0 = 0 & all_292_0 = 0 & ~ (all_330_1 = % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_330_2) & ~ (all_33_0 = xm)) % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (571) gives: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (572) ~ (all_330_5 = 0) % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (559), (572) imply: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (573) $false % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (573) is inconsistent. % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (574) ~ (all_330_6 = 0) | (all_330_0 = 0 & all_292_0 = % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 & ~ (all_330_1 = all_330_2) & ~ (all_33_0 = % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xm)) % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (574) gives: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (575) ~ (all_330_6 = 0) % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (565), (575) imply: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (576) $false % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (576) is inconsistent. % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (577) all_330_0 = 0 & all_292_0 = 0 & ~ (all_330_1 = % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_330_2) & ~ (all_33_0 = xm) % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (577) implies: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (578) all_292_0 = 0 % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (535), (578) imply: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (579) $false % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (579) is inconsistent. % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (580) ~ (all_292_1 = 0) | ~ (all_292_2 = 0) % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (580) gives: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (581) ~ (all_292_1 = 0) % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (534), (581) imply: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (582) $false % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (582) is inconsistent. % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (583) ~ (all_292_2 = 0) % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (533), (583) imply: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (584) $false % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (584) is inconsistent. % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | End of split % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | End of split % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | End of split % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | End of split % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | End of split % 38.68/5.99 | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | End of split % 38.68/5.99 | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | Case 2: % 38.68/5.99 | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | (585) ~ (all_46_0 = xq) % 38.68/5.99 | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | BETA: splitting (288) gives: % 38.68/5.99 | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | Case 1: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | (586) all_46_0 = xq % 38.68/5.99 | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | REDUCE: (585), (586) imply: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | (587) $false % 38.68/5.99 | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | CLOSE: (587) is inconsistent. % 38.68/5.99 | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | Case 2: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | (588) ? [v0: int] : ( ~ (v0 = 0) & % 38.68/5.99 | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_46_0) = v0) % 38.68/5.99 | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (588) with fresh symbol all_195_0 % 38.68/5.99 | | | | | | | | | | | | | | | | | | | gives: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | (589) ~ (all_195_0 = 0) & aNaturalNumber0(all_46_0) = % 38.68/5.99 | | | | | | | | | | | | | | | | | | | all_195_0 % 38.68/5.99 | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | ALPHA: (589) implies: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | (590) ~ (all_195_0 = 0) % 38.68/5.99 | | | | | | | | | | | | | | | | | | | (591) aNaturalNumber0(all_46_0) = all_195_0 % 38.68/5.99 | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | BETA: splitting (130) gives: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | Case 1: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | (592) all_46_0 = xq % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (585), (592) imply: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | (593) $false % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | CLOSE: (593) is inconsistent. % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | Case 2: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | (594) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | [v3: $i] : (sdtasdt0(all_46_0, xl) = v3 & % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | sdtasdt0(xq, xl) = v2 & % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_46_0) = v1 & % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xq) = v0 & $i(v3) & $i(v2) & ( ~ % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0))) % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (594) with fresh symbols all_209_0, % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | all_209_1, all_209_2, all_209_3 gives: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | (595) sdtasdt0(all_46_0, xl) = all_209_0 & sdtasdt0(xq, % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | xl) = all_209_1 & aNaturalNumber0(all_46_0) = % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | all_209_2 & aNaturalNumber0(xq) = all_209_3 & % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | $i(all_209_0) & $i(all_209_1) & ( ~ (all_209_2 = % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_209_3 = 0)) % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | ALPHA: (595) implies: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | (596) aNaturalNumber0(all_46_0) = all_209_2 % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_209_2, all_46_0, % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | simplifying with (52), (596) gives: % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | (597) all_209_2 = 0 % 38.68/5.99 | | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_195_0, all_209_2, % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | all_46_0, simplifying with (591), (596) gives: % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | (598) all_209_2 = all_195_0 % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (597), (598) imply: % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | (599) all_195_0 = 0 % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | REDUCE: (590), (599) imply: % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | (600) $false % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | CLOSE: (600) is inconsistent. % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | | End of split % 38.68/6.00 | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | End of split % 38.68/6.00 | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | End of split % 38.68/6.00 | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | End of split % 38.68/6.00 | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | End of split % 38.68/6.00 | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | Case 2: % 38.68/6.00 | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | (601) ~ (all_44_0 = xp) % 38.68/6.00 | | | | | | | | | | | | | | | (602) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? % 38.68/6.00 | | | | | | | | | | | | | | | [v3: $i] : (sdtasdt0(all_44_0, xl) = v2 & % 38.68/6.00 | | | | | | | | | | | | | | | sdtasdt0(xp, xl) = v3 & % 38.68/6.00 | | | | | | | | | | | | | | | aNaturalNumber0(all_44_0) = v0 & % 38.68/6.00 | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v1 & $i(v3) & $i(v2) & ( ~ % 38.68/6.00 | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0))) % 38.68/6.00 | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | DELTA: instantiating (602) with fresh symbols all_178_0, % 38.68/6.00 | | | | | | | | | | | | | | | all_178_1, all_178_2, all_178_3 gives: % 38.68/6.00 | | | | | | | | | | | | | | | (603) sdtasdt0(all_44_0, xl) = all_178_1 & sdtasdt0(xp, % 38.68/6.00 | | | | | | | | | | | | | | | xl) = all_178_0 & aNaturalNumber0(all_44_0) = % 38.68/6.00 | | | | | | | | | | | | | | | all_178_3 & aNaturalNumber0(xp) = all_178_2 & % 38.68/6.00 | | | | | | | | | | | | | | | $i(all_178_0) & $i(all_178_1) & ( ~ (all_178_2 = % 38.68/6.00 | | | | | | | | | | | | | | | 0) | ~ (all_178_3 = 0)) % 38.68/6.00 | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | ALPHA: (603) implies: % 38.68/6.00 | | | | | | | | | | | | | | | (604) aNaturalNumber0(xp) = all_178_2 % 38.68/6.00 | | | | | | | | | | | | | | | (605) aNaturalNumber0(all_44_0) = all_178_3 % 38.68/6.00 | | | | | | | | | | | | | | | (606) ~ (all_178_2 = 0) | ~ (all_178_3 = 0) % 38.68/6.00 | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | BETA: splitting (123) gives: % 38.68/6.00 | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | Case 1: % 38.68/6.00 | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | (607) xq = xp % 38.68/6.00 | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | REDUCE: (250), (607) imply: % 38.68/6.00 | | | | | | | | | | | | | | | | (608) $false % 38.68/6.00 | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | CLOSE: (608) is inconsistent. % 38.68/6.00 | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | Case 2: % 38.68/6.00 | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | (609) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? % 38.68/6.00 | | | | | | | | | | | | | | | | [v3: $i] : (sdtasdt0(xq, xl) = v2 & sdtasdt0(xp, % 38.68/6.00 | | | | | | | | | | | | | | | | xl) = v3 & aNaturalNumber0(xq) = v0 & % 38.68/6.00 | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v1 & $i(v3) & $i(v2) & ( ~ % 38.68/6.00 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~ % 38.68/6.00 | | | | | | | | | | | | | | | | (all_33_0 = xm)))) % 38.68/6.00 | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | BETA: splitting (216) gives: % 38.68/6.00 | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | Case 1: % 38.68/6.00 | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | (610) all_35_0 = 0 % 38.68/6.00 | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | REDUCE: (31), (610) imply: % 38.68/6.00 | | | | | | | | | | | | | | | | | (611) $false % 38.68/6.00 | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | CLOSE: (611) is inconsistent. % 38.68/6.00 | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | Case 2: % 38.68/6.00 | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | DELTA: instantiating (609) with fresh symbols all_188_0, % 38.68/6.00 | | | | | | | | | | | | | | | | | all_188_1, all_188_2, all_188_3 gives: % 38.68/6.00 | | | | | | | | | | | | | | | | | (612) sdtasdt0(xq, xl) = all_188_1 & sdtasdt0(xp, xl) = % 38.68/6.00 | | | | | | | | | | | | | | | | | all_188_0 & aNaturalNumber0(xq) = all_188_3 & % 38.68/6.00 | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_188_2 & $i(all_188_0) & % 38.68/6.00 | | | | | | | | | | | | | | | | | $i(all_188_1) & ( ~ (all_188_2 = 0) | ~ % 38.68/6.00 | | | | | | | | | | | | | | | | | (all_188_3 = 0) | ( ~ (all_188_0 = all_188_1) & % 38.68/6.00 | | | | | | | | | | | | | | | | | ~ (all_33_0 = xm))) % 38.68/6.00 | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | ALPHA: (612) implies: % 38.68/6.00 | | | | | | | | | | | | | | | | | (613) aNaturalNumber0(xp) = all_188_2 % 38.68/6.00 | | | | | | | | | | | | | | | | | (614) aNaturalNumber0(xq) = all_188_3 % 38.68/6.00 | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | BETA: splitting (122) gives: % 38.68/6.00 | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | Case 1: % 38.68/6.00 | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | (615) xq = xp % 38.68/6.00 | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | REDUCE: (250), (615) imply: % 38.68/6.00 | | | | | | | | | | | | | | | | | | (616) $false % 38.68/6.00 | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | CLOSE: (616) is inconsistent. % 38.68/6.00 | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | Case 2: % 38.68/6.00 | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | (617) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? % 38.68/6.00 | | | | | | | | | | | | | | | | | | [v3: $i] : (sdtasdt0(xq, xl) = v3 & sdtasdt0(xp, % 38.68/6.00 | | | | | | | | | | | | | | | | | | xl) = v2 & aNaturalNumber0(xq) = v1 & % 38.68/6.00 | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v0 & $i(v3) & $i(v2) & ( ~ % 38.68/6.00 | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~ % 38.68/6.00 | | | | | | | | | | | | | | | | | | (all_33_0 = xm)))) % 38.68/6.00 | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | DELTA: instantiating (617) with fresh symbols all_198_0, % 38.68/6.00 | | | | | | | | | | | | | | | | | | all_198_1, all_198_2, all_198_3 gives: % 38.68/6.00 | | | | | | | | | | | | | | | | | | (618) sdtasdt0(xq, xl) = all_198_0 & sdtasdt0(xp, xl) = % 38.68/6.00 | | | | | | | | | | | | | | | | | | all_198_1 & aNaturalNumber0(xq) = all_198_2 & % 38.68/6.00 | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_198_3 & $i(all_198_0) & % 38.68/6.00 | | | | | | | | | | | | | | | | | | $i(all_198_1) & ( ~ (all_198_2 = 0) | ~ % 38.68/6.00 | | | | | | | | | | | | | | | | | | (all_198_3 = 0) | ( ~ (all_198_0 = all_198_1) & % 38.68/6.00 | | | | | | | | | | | | | | | | | | ~ (all_33_0 = xm))) % 38.68/6.00 | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | ALPHA: (618) implies: % 38.68/6.00 | | | | | | | | | | | | | | | | | | (619) aNaturalNumber0(xp) = all_198_3 % 38.68/6.00 | | | | | | | | | | | | | | | | | | (620) aNaturalNumber0(xq) = all_198_2 % 38.68/6.00 | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | BETA: splitting (126) gives: % 38.68/6.00 | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | Case 1: % 38.68/6.00 | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | | (621) all_44_0 = xp % 38.68/6.00 | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | | REDUCE: (601), (621) imply: % 38.68/6.00 | | | | | | | | | | | | | | | | | | | (622) $false % 38.68/6.00 | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | | CLOSE: (622) is inconsistent. % 38.68/6.00 | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | Case 2: % 38.68/6.00 | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | | (623) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? % 38.68/6.00 | | | | | | | | | | | | | | | | | | | [v3: $i] : (sdtasdt0(all_44_0, xl) = v3 & % 38.68/6.00 | | | | | | | | | | | | | | | | | | | sdtasdt0(xp, xl) = v2 & % 38.68/6.00 | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_44_0) = v1 & % 38.68/6.00 | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v0 & $i(v3) & $i(v2) & ( ~ % 38.68/6.00 | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0))) % 38.68/6.00 | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (623) with fresh symbols all_204_0, % 38.68/6.00 | | | | | | | | | | | | | | | | | | | all_204_1, all_204_2, all_204_3 gives: % 38.68/6.00 | | | | | | | | | | | | | | | | | | | (624) sdtasdt0(all_44_0, xl) = all_204_0 & sdtasdt0(xp, % 38.68/6.00 | | | | | | | | | | | | | | | | | | | xl) = all_204_1 & aNaturalNumber0(all_44_0) = % 38.68/6.00 | | | | | | | | | | | | | | | | | | | all_204_2 & aNaturalNumber0(xp) = all_204_3 & % 38.68/6.00 | | | | | | | | | | | | | | | | | | | $i(all_204_0) & $i(all_204_1) & ( ~ (all_204_2 = % 38.68/6.00 | | | | | | | | | | | | | | | | | | | 0) | ~ (all_204_3 = 0)) % 38.68/6.00 | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | | ALPHA: (624) implies: % 38.68/6.00 | | | | | | | | | | | | | | | | | | | (625) aNaturalNumber0(xp) = all_204_3 % 38.68/6.00 | | | | | | | | | | | | | | | | | | | (626) aNaturalNumber0(all_44_0) = all_204_2 % 38.68/6.00 | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | | BETA: splitting (131) gives: % 38.68/6.00 | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | | Case 1: % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | (627) all_46_0 = xq % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | BETA: splitting (132) gives: % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | Case 1: % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | (628) all_46_0 = xp % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (627), (628) imply: % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | (629) xq = xp % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | REDUCE: (250), (629) imply: % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | (630) $false % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | CLOSE: (630) is inconsistent. % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | Case 2: % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | (631) ~ (all_46_0 = xp) % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | (632) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | [v3: $i] : (sdtasdt0(all_46_0, xl) = v3 & % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | sdtasdt0(xp, xl) = v2 & % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_46_0) = v1 & % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v0 & $i(v3) & $i(v2) & ( ~ % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~ % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | (all_33_0 = xm)))) % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (632) with fresh symbols all_218_0, % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | all_218_1, all_218_2, all_218_3 gives: % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | (633) sdtasdt0(all_46_0, xl) = all_218_0 & sdtasdt0(xp, % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | xl) = all_218_1 & aNaturalNumber0(all_46_0) = % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | all_218_2 & aNaturalNumber0(xp) = all_218_3 & % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | $i(all_218_0) & $i(all_218_1) & ( ~ (all_218_2 = % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_218_3 = 0) | ( ~ (all_218_0 = % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | all_218_1) & ~ (all_33_0 = xm))) % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | ALPHA: (633) implies: % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | (634) aNaturalNumber0(xp) = all_218_3 % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (133) gives: % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | Case 1: % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | | (635) all_46_0 = xp % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (627), (635) imply: % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | | (636) xq = xp % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (250), (636) imply: % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | | (637) $false % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (637) is inconsistent. % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | Case 2: % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | | (638) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : (sdtasdt0(all_46_0, xl) = v2 & % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(xp, xl) = v3 & % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_46_0) = v0 & % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v1 & $i(v3) & $i(v2) & ( ~ % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~ % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | | (all_33_0 = xm)))) % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (638) with fresh symbols all_224_0, % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | | all_224_1, all_224_2, all_224_3 gives: % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | | (639) sdtasdt0(all_46_0, xl) = all_224_1 & sdtasdt0(xp, % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | | xl) = all_224_0 & aNaturalNumber0(all_46_0) = % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | | all_224_3 & aNaturalNumber0(xp) = all_224_2 & % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | | $i(all_224_0) & $i(all_224_1) & ( ~ (all_224_2 = % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_224_3 = 0) | ( ~ (all_224_0 = % 38.68/6.00 | | | | | | | | | | | | | | | | | | | | | | all_224_1) & ~ (all_33_0 = xm))) % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (639) implies: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | (640) aNaturalNumber0(xp) = all_224_2 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_198_3, xp, % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (619) gives: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | (641) all_198_3 = 0 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_198_3, all_218_3, xp, % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | simplifying with (619), (634) gives: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | (642) all_218_3 = all_198_3 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_188_2, all_218_3, xp, % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | simplifying with (613), (634) gives: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | (643) all_218_3 = all_188_2 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_178_2, all_218_3, xp, % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | simplifying with (604), (634) gives: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | (644) all_218_3 = all_178_2 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_218_3, all_224_2, xp, % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | simplifying with (634), (640) gives: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | (645) all_224_2 = all_218_3 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_204_3, all_224_2, xp, % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | simplifying with (625), (640) gives: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | (646) all_224_2 = all_204_3 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_204_2, all_44_0, % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | simplifying with (48), (626) gives: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | (647) all_204_2 = 0 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_178_3, all_204_2, % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | all_44_0, simplifying with (605), (626) gives: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | (648) all_204_2 = all_178_3 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (645), (646) imply: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | (649) all_218_3 = all_204_3 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | SIMP: (649) implies: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | (650) all_218_3 = all_204_3 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (644), (650) imply: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | (651) all_204_3 = all_178_2 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (643), (650) imply: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | (652) all_204_3 = all_188_2 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (642), (650) imply: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | (653) all_204_3 = all_198_3 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (647), (648) imply: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | (654) all_178_3 = 0 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (651), (652) imply: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | (655) all_188_2 = all_178_2 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (652), (653) imply: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | (656) all_198_3 = all_188_2 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | SIMP: (656) implies: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | (657) all_198_3 = all_188_2 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (641), (657) imply: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | (658) all_188_2 = 0 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | SIMP: (658) implies: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | (659) all_188_2 = 0 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (659) imply: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | (660) all_178_2 = 0 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (606) gives: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | (661) ~ (all_178_2 = 0) % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (660), (661) imply: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | (662) $false % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (662) is inconsistent. % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | (663) ~ (all_178_3 = 0) % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (654), (663) imply: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | (664) $false % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (664) is inconsistent. % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | End of split % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | End of split % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | End of split % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | Case 2: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | (665) ~ (all_46_0 = xq) % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | (666) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | [v3: $i] : (sdtasdt0(all_46_0, xl) = v2 & % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | sdtasdt0(xq, xl) = v3 & % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_46_0) = v0 & % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xq) = v1 & $i(v3) & $i(v2) & ( ~ % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0))) % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (666) with fresh symbols all_214_0, % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | all_214_1, all_214_2, all_214_3 gives: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | (667) sdtasdt0(all_46_0, xl) = all_214_1 & sdtasdt0(xq, % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | xl) = all_214_0 & aNaturalNumber0(all_46_0) = % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | all_214_3 & aNaturalNumber0(xq) = all_214_2 & % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | $i(all_214_0) & $i(all_214_1) & ( ~ (all_214_2 = % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_214_3 = 0)) % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | ALPHA: (667) implies: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | (668) aNaturalNumber0(xq) = all_214_2 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | (669) aNaturalNumber0(all_46_0) = all_214_3 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | BETA: splitting (130) gives: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | Case 1: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | (670) all_46_0 = xq % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (670) imply: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | (671) $false % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | CLOSE: (671) is inconsistent. % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | Case 2: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | (672) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | [v3: $i] : (sdtasdt0(all_46_0, xl) = v3 & % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | sdtasdt0(xq, xl) = v2 & % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_46_0) = v1 & % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xq) = v0 & $i(v3) & $i(v2) & ( ~ % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0))) % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (672) with fresh symbols all_220_0, % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | all_220_1, all_220_2, all_220_3 gives: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | (673) sdtasdt0(all_46_0, xl) = all_220_0 & sdtasdt0(xq, % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | xl) = all_220_1 & aNaturalNumber0(all_46_0) = % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | all_220_2 & aNaturalNumber0(xq) = all_220_3 & % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | $i(all_220_0) & $i(all_220_1) & ( ~ (all_220_2 = % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_220_3 = 0)) % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | ALPHA: (673) implies: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | (674) aNaturalNumber0(xq) = all_220_3 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | (675) aNaturalNumber0(all_46_0) = all_220_2 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | (676) ~ (all_220_2 = 0) | ~ (all_220_3 = 0) % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_214_2, xq, % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | simplifying with (26), (668) gives: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | (677) all_214_2 = 0 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_188_3, all_214_2, xq, % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | simplifying with (614), (668) gives: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | (678) all_214_2 = all_188_3 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_214_2, all_220_3, xq, % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | simplifying with (668), (674) gives: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | (679) all_220_3 = all_214_2 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_198_2, all_220_3, xq, % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | simplifying with (620), (674) gives: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | (680) all_220_3 = all_198_2 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_220_2, all_46_0, % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | simplifying with (52), (675) gives: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | (681) all_220_2 = 0 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_214_3, all_220_2, % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | all_46_0, simplifying with (669), (675) gives: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | (682) all_220_2 = all_214_3 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (682) imply: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | (683) all_214_3 = 0 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (679), (680) imply: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | (684) all_214_2 = all_198_2 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | SIMP: (684) implies: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | (685) all_214_2 = all_198_2 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (677), (685) imply: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | (686) all_198_2 = 0 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (678), (685) imply: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | (687) all_198_2 = all_188_3 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (686), (687) imply: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | (688) all_188_3 = 0 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (680), (686) imply: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | (689) all_220_3 = 0 % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (676) gives: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | Case 1: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | (690) ~ (all_220_2 = 0) % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (690) imply: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | (691) $false % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (691) is inconsistent. % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | Case 2: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | (692) ~ (all_220_3 = 0) % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (689), (692) imply: % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | (693) $false % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (693) is inconsistent. % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | End of split % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | End of split % 38.68/6.01 | | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | | End of split % 38.68/6.01 | | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | | End of split % 38.68/6.01 | | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | | End of split % 38.68/6.01 | | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | | End of split % 38.68/6.01 | | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | | End of split % 38.68/6.01 | | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | | End of split % 38.68/6.01 | | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | | End of split % 38.68/6.01 | | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | | End of split % 38.68/6.01 | | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | | End of split % 38.68/6.01 | | | | | | | | | | | % 38.68/6.01 | | | | | | | | | | End of split % 38.68/6.01 | | | | | | | | | | % 38.68/6.01 | | | | | | | | | End of split % 38.68/6.01 | | | | | | | | | % 38.68/6.01 | | | | | | | | End of split % 38.68/6.01 | | | | | | | | % 38.68/6.01 | | | | | | | End of split % 38.68/6.01 | | | | | | | % 38.68/6.01 | | | | | | End of split % 38.68/6.01 | | | | | | % 38.68/6.01 | | | | | End of split % 38.68/6.01 | | | | | % 38.68/6.01 | | | | End of split % 38.68/6.01 | | | | % 38.68/6.01 | | | End of split % 38.68/6.01 | | | % 38.68/6.01 | | End of split % 38.68/6.01 | | % 38.68/6.01 | End of split % 38.68/6.01 | % 38.68/6.01 End of proof % 38.68/6.01 % SZS output end Proof for theBenchmark % 38.68/6.01 % 38.68/6.01 5409ms %------------------------------------------------------------------------------