%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : NUM512+1 : TPTP v8.1.2. Released v4.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n021.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Thu Aug 31 11:48:16 EDT 2023 % Result : Theorem 15.02s 2.70s % Output : Proof 52.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : NUM512+1 : TPTP v8.1.2. Released v4.0.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n021.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Fri Aug 25 14:57:41 EDT 2023 % 0.19/0.34 % CPUTime : % 0.19/0.60 ________ _____ % 0.19/0.60 ___ __ \_________(_)________________________________ % 0.19/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.60 % 0.19/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.60 (2023-06-19) % 0.19/0.60 % 0.19/0.60 (c) Philipp Rümmer, 2009-2023 % 0.19/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.60 Amanda Stjerna. % 0.19/0.60 Free software under BSD-3-Clause. % 0.19/0.60 % 0.19/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.60 % 0.19/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.19/0.61 Running up to 7 provers in parallel. % 0.19/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.27/1.13 Prover 1: Preprocessing ... % 3.27/1.13 Prover 4: Preprocessing ... % 3.75/1.17 Prover 6: Preprocessing ... % 3.75/1.17 Prover 5: Preprocessing ... % 3.75/1.17 Prover 2: Preprocessing ... % 3.75/1.17 Prover 0: Preprocessing ... % 3.75/1.17 Prover 3: Preprocessing ... % 9.23/1.92 Prover 1: Constructing countermodel ... % 9.23/1.92 Prover 3: Constructing countermodel ... % 9.23/1.93 Prover 6: Proving ... % 9.23/1.94 Prover 5: Constructing countermodel ... % 9.23/2.10 Prover 2: Proving ... % 10.15/2.23 Prover 4: Constructing countermodel ... % 11.56/2.24 Prover 0: Proving ... % 15.02/2.70 Prover 3: proved (2081ms) % 15.02/2.70 % 15.02/2.70 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 15.02/2.70 % 15.02/2.71 Prover 5: stopped % 15.02/2.71 Prover 2: stopped % 15.02/2.71 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 15.02/2.71 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 15.02/2.71 Prover 0: stopped % 15.02/2.72 Prover 6: stopped % 15.02/2.73 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 15.02/2.73 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 15.02/2.73 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 15.60/2.83 Prover 7: Preprocessing ... % 15.60/2.84 Prover 10: Preprocessing ... % 15.60/2.85 Prover 8: Preprocessing ... % 15.60/2.87 Prover 13: Preprocessing ... % 15.95/2.91 Prover 11: Preprocessing ... % 16.89/2.96 Prover 10: Constructing countermodel ... % 16.89/3.02 Prover 8: Warning: ignoring some quantifiers % 17.50/3.02 Prover 8: Constructing countermodel ... % 17.50/3.02 Prover 7: Constructing countermodel ... % 17.50/3.04 Prover 13: Constructing countermodel ... % 19.25/3.26 Prover 11: Constructing countermodel ... % 50.21/7.35 Prover 1: Found proof (size 917) % 50.21/7.35 Prover 1: proved (6735ms) % 50.21/7.36 Prover 7: stopped % 50.21/7.36 Prover 8: stopped % 50.21/7.36 Prover 4: stopped % 50.21/7.36 Prover 13: stopped % 50.21/7.36 Prover 10: stopped % 50.21/7.36 Prover 11: stopped % 50.89/7.36 % 50.89/7.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 50.89/7.36 % 51.17/7.45 % SZS output start Proof for theBenchmark % 51.17/7.46 Assumptions after simplification: % 51.17/7.46 --------------------------------- % 51.17/7.46 % 51.17/7.46 (mAddAsso) % 51.17/7.49 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 51.17/7.49 (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) % 51.17/7.49 | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: $i] : ? % 51.17/7.49 [v9: $i] : (sdtpldt0(v1, v2) = v8 & sdtpldt0(v0, v8) = v9 & % 51.17/7.49 aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0) % 51.17/7.49 = v5 & $i(v9) & $i(v8) & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = % 51.17/7.49 v4))) % 51.17/7.49 % 51.17/7.49 (mAddComm) % 51.17/7.49 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ % 51.17/7.49 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] : % 51.17/7.49 (sdtpldt0(v1, v0) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 % 51.17/7.49 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2))) % 51.17/7.49 % 51.17/7.49 (mDefDiv) % 51.17/7.49 ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~ (doDivides0(v0, v1) = v2) | ~ % 51.17/7.49 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : (aNaturalNumber0(v1) = v4 % 51.17/7.49 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))) | (( ~ (v2 = 0) % 51.17/7.49 | ? [v3: $i] : (sdtasdt0(v0, v3) = v1 & aNaturalNumber0(v3) = 0 & % 51.17/7.49 $i(v3))) & (v2 = 0 | ! [v3: $i] : ( ~ (sdtasdt0(v0, v3) = v1) | ~ % 51.17/7.49 $i(v3) | ? [v4: int] : ( ~ (v4 = 0) & aNaturalNumber0(v3) = v4))))) % 51.17/7.49 % 51.17/7.49 (mDefLE) % 51.17/7.50 ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~ (sdtlseqdt0(v0, v1) = v2) | ~ % 51.17/7.50 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : (aNaturalNumber0(v1) = v4 % 51.17/7.50 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))) | (( ~ (v2 = 0) % 51.17/7.50 | ? [v3: $i] : (sdtpldt0(v0, v3) = v1 & aNaturalNumber0(v3) = 0 & % 51.17/7.50 $i(v3))) & (v2 = 0 | ! [v3: $i] : ( ~ (sdtpldt0(v0, v3) = v1) | ~ % 51.17/7.50 $i(v3) | ? [v4: int] : ( ~ (v4 = 0) & aNaturalNumber0(v3) = v4))))) % 51.17/7.50 % 51.17/7.50 (mDefPrime) % 51.17/7.50 $i(sz10) & $i(sz00) & ! [v0: $i] : ! [v1: any] : ( ~ (isPrime0(v0) = v1) | % 51.17/7.50 ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & aNaturalNumber0(v0) = v2) | (( ~ % 51.17/7.50 (v1 = 0) | ( ~ (v0 = sz10) & ~ (v0 = sz00) & ! [v2: $i] : (v2 = v0 | % 51.17/7.50 v2 = sz10 | ~ (doDivides0(v2, v0) = 0) | ~ $i(v2) | ? [v3: int] : % 51.17/7.50 ( ~ (v3 = 0) & aNaturalNumber0(v2) = v3)))) & (v1 = 0 | v0 = sz10 | % 51.17/7.50 v0 = sz00 | ? [v2: $i] : ( ~ (v2 = v0) & ~ (v2 = sz10) & % 51.17/7.50 doDivides0(v2, v0) = 0 & aNaturalNumber0(v2) = 0 & $i(v2))))) % 51.17/7.50 % 51.17/7.50 (mDefQuot) % 51.17/7.50 $i(sz00) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v0 = sz00 | ~ % 51.17/7.50 (sdtsldt0(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: % 51.17/7.50 any] : ? [v5: any] : (doDivides0(v0, v1) = v5 & aNaturalNumber0(v1) = v4 % 51.17/7.50 & aNaturalNumber0(v0) = v3 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0))) | % 51.17/7.50 ( ! [v3: $i] : (v3 = v2 | ~ (sdtasdt0(v0, v3) = v1) | ~ $i(v3) | ? [v4: % 51.17/7.50 int] : ( ~ (v4 = 0) & aNaturalNumber0(v3) = v4)) & ! [v3: $i] : ( ~ % 51.17/7.50 (sdtasdt0(v0, v2) = v3) | ~ $i(v2) | (v3 = v1 & aNaturalNumber0(v2) = % 51.17/7.50 0)))) % 51.17/7.50 % 51.17/7.50 (mDivAsso) % 51.17/7.51 $i(sz00) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v0 = sz00 | ~ % 51.17/7.51 (sdtsldt0(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: % 51.17/7.51 any] : ? [v5: any] : (doDivides0(v0, v1) = v5 & aNaturalNumber0(v1) = v4 % 51.17/7.51 & aNaturalNumber0(v0) = v3 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0))) | % 51.17/7.51 ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (sdtsldt0(v4, v0) = v5) | ~ % 51.17/7.51 (sdtasdt0(v3, v1) = v4) | ~ $i(v3) | ? [v6: any] : ? [v7: $i] : % 51.17/7.51 (sdtasdt0(v3, v2) = v7 & aNaturalNumber0(v3) = v6 & $i(v7) & ( ~ (v6 = 0) % 51.17/7.51 | v7 = v5)))) % 51.17/7.51 % 51.17/7.51 (mDivLE) % 51.17/7.51 $i(sz00) & ! [v0: $i] : ! [v1: $i] : (v1 = sz00 | ~ (doDivides0(v0, v1) = % 51.17/7.51 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] : % 51.17/7.51 (sdtlseqdt0(v0, v1) = v4 & aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = % 51.17/7.51 v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | v4 = 0))) % 51.17/7.51 % 51.17/7.51 (mDivMin) % 51.17/7.51 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (doDivides0(v0, % 51.17/7.51 v3) = 0) | ~ (sdtpldt0(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 51.17/7.51 $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: % 51.17/7.51 any] : (doDivides0(v0, v2) = v8 & doDivides0(v0, v1) = v7 & % 51.17/7.51 aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) % 51.17/7.51 = v4 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | v8 = 0))) % 51.17/7.51 % 51.17/7.51 (mLEAsym) % 51.17/7.51 ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (sdtlseqdt0(v0, v1) = 0) | ~ $i(v1) % 51.17/7.51 | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] : (sdtlseqdt0(v1, % 51.17/7.51 v0) = v4 & aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v4 % 51.17/7.51 = 0) | ~ (v3 = 0) | ~ (v2 = 0)))) % 51.17/7.51 % 51.17/7.51 (mMulAsso) % 51.17/7.51 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 51.17/7.51 (sdtasdt0(v3, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) % 51.17/7.51 | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: $i] : ? % 51.17/7.51 [v9: $i] : (sdtasdt0(v1, v2) = v8 & sdtasdt0(v0, v8) = v9 & % 51.17/7.51 aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0) % 51.17/7.51 = v5 & $i(v9) & $i(v8) & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = % 51.17/7.51 v4))) % 51.17/7.51 % 51.17/7.51 (mMulComm) % 51.17/7.52 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) | ~ % 51.17/7.52 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] : % 51.17/7.52 (sdtasdt0(v1, v0) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 % 51.17/7.52 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2))) % 51.17/7.52 % 51.17/7.52 (mPrimDiv) % 51.17/7.52 $i(sz10) & $i(sz00) & ! [v0: $i] : (v0 = sz10 | v0 = sz00 | ~ % 51.17/7.52 (aNaturalNumber0(v0) = 0) | ~ $i(v0) | ? [v1: $i] : (isPrime0(v1) = 0 & % 51.17/7.52 doDivides0(v1, v0) = 0 & aNaturalNumber0(v1) = 0 & $i(v1))) % 51.17/7.52 % 51.17/7.52 (mSortsB) % 51.17/7.52 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ % 51.17/7.52 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : % 51.17/7.52 (aNaturalNumber0(v2) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = % 51.17/7.52 v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) % 51.17/7.52 % 51.17/7.52 (mSortsB_02) % 51.17/7.52 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) | ~ % 51.17/7.52 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : % 51.17/7.52 (aNaturalNumber0(v2) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = % 51.17/7.52 v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) % 51.17/7.52 % 51.17/7.52 (m__) % 51.17/7.52 $i(xr) & $i(xk) & $i(xp) & $i(xm) & $i(xn) & ? [v0: $i] : ? [v1: $i] : ? % 51.17/7.52 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : % 51.17/7.52 (sdtsldt0(v4, xr) = v5 & sdtsldt0(xn, xr) = v0 & sdtasdt0(v5, xr) = v6 & % 51.17/7.52 sdtasdt0(v1, xr) = v2 & sdtasdt0(v0, xm) = v1 & sdtasdt0(xp, xk) = v4 & % 51.17/7.52 sdtasdt0(xn, xm) = v3 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) % 51.17/7.52 & $i(v0) & ( ~ (v6 = v2) | ~ (v3 = v2))) % 51.17/7.52 % 51.17/7.52 (m__1799) % 51.17/7.52 $i(xp) & $i(xm) & $i(xn) & ? [v0: $i] : ? [v1: $i] : (sdtpldt0(v0, xp) = v1 % 51.17/7.52 & sdtpldt0(xn, xm) = v0 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! % 51.17/7.52 [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ (sdtpldt0(v5, v4) = v6) | ~ % 51.17/7.52 (sdtpldt0(v2, v3) = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ? [v7: any] % 51.17/7.52 : ? [v8: any] : ? [v9: any] : ? [v10: any] : ? [v11: $i] : ? [v12: % 51.17/7.52 any] : ? [v13: any] : ? [v14: any] : ? [v15: any] : (isPrime0(v4) = % 51.17/7.52 v10 & doDivides0(v4, v11) = v12 & doDivides0(v4, v3) = v15 & % 51.17/7.52 doDivides0(v4, v2) = v14 & iLess0(v6, v1) = v13 & sdtasdt0(v2, v3) = v11 % 51.17/7.52 & aNaturalNumber0(v4) = v9 & aNaturalNumber0(v3) = v8 & % 51.17/7.52 aNaturalNumber0(v2) = v7 & $i(v11) & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ % 51.17/7.52 (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v15 = 0 | v14 = % 51.17/7.52 0)))) % 51.17/7.52 % 51.17/7.52 (m__1837) % 51.17/7.53 aNaturalNumber0(xp) = 0 & aNaturalNumber0(xm) = 0 & aNaturalNumber0(xn) = 0 & % 51.17/7.53 $i(xp) & $i(xm) & $i(xn) % 51.17/7.53 % 51.17/7.53 (m__1860) % 51.17/7.53 $i(xp) & $i(xm) & $i(xn) & ? [v0: $i] : (isPrime0(xp) = 0 & doDivides0(xp, % 51.17/7.53 v0) = 0 & sdtasdt0(xn, xm) = v0 & $i(v0)) % 51.17/7.53 % 51.17/7.53 (m__2287) % 51.17/7.53 ~ (xp = xm) & ~ (xp = xn) & sdtlseqdt0(xm, xp) = 0 & sdtlseqdt0(xn, xp) = 0 % 51.17/7.53 & $i(xp) & $i(xm) & $i(xn) % 51.17/7.53 % 51.17/7.53 (m__2306) % 51.17/7.53 $i(xk) & $i(xp) & $i(xm) & $i(xn) & ? [v0: $i] : (sdtsldt0(v0, xp) = xk & % 51.17/7.53 sdtasdt0(xn, xm) = v0 & $i(v0)) % 51.17/7.53 % 51.17/7.53 (m__2315) % 51.17/7.53 ~ (xk = sz10) & ~ (xk = sz00) & $i(xk) & $i(sz10) & $i(sz00) % 51.17/7.53 % 51.17/7.53 (m__2327) % 51.17/7.53 ~ (xk = sz10) & ~ (xk = sz00) & $i(xk) & $i(sz10) & $i(sz00) % 51.17/7.53 % 51.17/7.53 (m__2342) % 51.17/7.53 isPrime0(xr) = 0 & doDivides0(xr, xk) = 0 & aNaturalNumber0(xr) = 0 & $i(xr) & % 51.17/7.53 $i(xk) % 51.17/7.53 % 51.17/7.53 (m__2362) % 51.17/7.53 $i(xr) & $i(xk) & $i(xm) & $i(xn) & ? [v0: $i] : (doDivides0(xr, v0) = 0 & % 51.17/7.53 sdtlseqdt0(xr, xk) = 0 & sdtasdt0(xn, xm) = v0 & $i(v0)) % 51.17/7.53 % 51.17/7.53 (m__2377) % 51.17/7.53 ~ (xk = xp) & sdtlseqdt0(xk, xp) = 0 & $i(xk) & $i(xp) % 51.17/7.53 % 51.17/7.53 (m__2449) % 51.33/7.53 $i(xr) & $i(xm) & $i(xn) & ? [v0: any] : ? [v1: any] : (doDivides0(xr, xm) = % 51.33/7.53 v1 & doDivides0(xr, xn) = v0 & (v1 = 0 | v0 = 0)) % 51.33/7.53 % 51.33/7.53 (m__2487) % 51.33/7.53 doDivides0(xr, xn) = 0 & $i(xr) & $i(xn) % 51.33/7.53 % 51.33/7.53 (m__2504) % 51.33/7.53 $i(xr) & $i(xn) & ? [v0: $i] : ( ~ (v0 = xn) & sdtsldt0(xn, xr) = v0 & % 51.33/7.53 sdtlseqdt0(v0, xn) = 0 & $i(v0)) % 51.33/7.53 % 51.33/7.53 (function-axioms) % 51.33/7.54 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 51.33/7.54 (sdtsldt0(v3, v2) = v1) | ~ (sdtsldt0(v3, v2) = v0)) & ! [v0: % 51.33/7.54 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 51.33/7.54 : (v1 = v0 | ~ (doDivides0(v3, v2) = v1) | ~ (doDivides0(v3, v2) = v0)) & ! % 51.33/7.54 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 51.33/7.54 $i] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0)) & ! % 51.33/7.54 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 51.33/7.54 (sdtmndt0(v3, v2) = v1) | ~ (sdtmndt0(v3, v2) = v0)) & ! [v0: % 51.33/7.54 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 51.33/7.54 : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~ (sdtlseqdt0(v3, v2) = v0)) & ! % 51.33/7.54 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 51.33/7.54 (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0)) & ! [v0: $i] : ! % 51.33/7.54 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | % 51.33/7.54 ~ (sdtpldt0(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 51.33/7.54 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (isPrime0(v2) = v1) | ~ % 51.33/7.54 (isPrime0(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 51.33/7.54 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) % 51.33/7.54 | ~ (aNaturalNumber0(v2) = v0)) % 51.33/7.54 % 51.33/7.54 Further assumptions not needed in the proof: % 51.33/7.54 -------------------------------------------- % 51.33/7.54 mAMDistr, mAddCanc, mDefDiff, mDivSum, mDivTrans, mIH, mIH_03, mLENTr, mLERefl, % 51.33/7.54 mLETotal, mLETran, mMonAdd, mMonMul, mMonMul2, mMulCanc, mNatSort, mSortsC, % 51.33/7.54 mSortsC_01, mZeroAdd, mZeroMul, m_AddZero, m_MulUnit, m_MulZero, m__1870, % 51.33/7.54 m__2075 % 51.33/7.54 % 51.33/7.54 Those formulas are unsatisfiable: % 51.33/7.54 --------------------------------- % 51.33/7.54 % 51.33/7.54 Begin of proof % 51.33/7.54 | % 51.33/7.54 | ALPHA: (mDefQuot) implies: % 51.33/7.54 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v0 = sz00 | ~ (sdtsldt0(v1, % 51.33/7.54 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : % 51.33/7.54 | ? [v5: any] : (doDivides0(v0, v1) = v5 & aNaturalNumber0(v1) = v4 & % 51.33/7.54 | aNaturalNumber0(v0) = v3 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = % 51.33/7.54 | 0))) | ( ! [v3: $i] : (v3 = v2 | ~ (sdtasdt0(v0, v3) = v1) | % 51.33/7.54 | ~ $i(v3) | ? [v4: int] : ( ~ (v4 = 0) & aNaturalNumber0(v3) = % 51.33/7.54 | v4)) & ! [v3: $i] : ( ~ (sdtasdt0(v0, v2) = v3) | ~ $i(v2) | % 51.33/7.54 | (v3 = v1 & aNaturalNumber0(v2) = 0)))) % 51.33/7.54 | % 51.33/7.54 | ALPHA: (mDivLE) implies: % 51.33/7.54 | (2) ! [v0: $i] : ! [v1: $i] : (v1 = sz00 | ~ (doDivides0(v0, v1) = 0) | % 51.33/7.54 | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] : % 51.33/7.54 | (sdtlseqdt0(v0, v1) = v4 & aNaturalNumber0(v1) = v3 & % 51.33/7.54 | aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | v4 = 0))) % 51.33/7.54 | % 51.33/7.54 | ALPHA: (mDivAsso) implies: % 51.33/7.55 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v0 = sz00 | ~ (sdtsldt0(v1, % 51.33/7.55 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : % 51.33/7.55 | ? [v5: any] : (doDivides0(v0, v1) = v5 & aNaturalNumber0(v1) = v4 & % 51.33/7.55 | aNaturalNumber0(v0) = v3 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = % 51.33/7.55 | 0))) | ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 51.33/7.55 | (sdtsldt0(v4, v0) = v5) | ~ (sdtasdt0(v3, v1) = v4) | ~ $i(v3) | % 51.33/7.55 | ? [v6: any] : ? [v7: $i] : (sdtasdt0(v3, v2) = v7 & % 51.33/7.55 | aNaturalNumber0(v3) = v6 & $i(v7) & ( ~ (v6 = 0) | v7 = v5)))) % 51.33/7.55 | % 51.33/7.55 | ALPHA: (mDefPrime) implies: % 51.33/7.55 | (4) ! [v0: $i] : ! [v1: any] : ( ~ (isPrime0(v0) = v1) | ~ $i(v0) | ? % 51.33/7.55 | [v2: int] : ( ~ (v2 = 0) & aNaturalNumber0(v0) = v2) | (( ~ (v1 = 0) % 51.33/7.55 | | ( ~ (v0 = sz10) & ~ (v0 = sz00) & ! [v2: $i] : (v2 = v0 | v2 % 51.33/7.55 | = sz10 | ~ (doDivides0(v2, v0) = 0) | ~ $i(v2) | ? [v3: % 51.33/7.55 | int] : ( ~ (v3 = 0) & aNaturalNumber0(v2) = v3)))) & (v1 = % 51.33/7.55 | 0 | v0 = sz10 | v0 = sz00 | ? [v2: $i] : ( ~ (v2 = v0) & ~ (v2 % 51.33/7.55 | = sz10) & doDivides0(v2, v0) = 0 & aNaturalNumber0(v2) = 0 & % 51.33/7.55 | $i(v2))))) % 51.33/7.55 | % 51.33/7.55 | ALPHA: (mPrimDiv) implies: % 51.33/7.55 | (5) ! [v0: $i] : (v0 = sz10 | v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) | % 51.33/7.55 | ~ $i(v0) | ? [v1: $i] : (isPrime0(v1) = 0 & doDivides0(v1, v0) = 0 & % 51.33/7.55 | aNaturalNumber0(v1) = 0 & $i(v1))) % 51.33/7.55 | % 51.33/7.55 | ALPHA: (m__1837) implies: % 51.33/7.55 | (6) aNaturalNumber0(xn) = 0 % 51.33/7.55 | (7) aNaturalNumber0(xm) = 0 % 51.33/7.55 | (8) aNaturalNumber0(xp) = 0 % 51.33/7.55 | % 51.33/7.55 | ALPHA: (m__1799) implies: % 51.33/7.55 | (9) ? [v0: $i] : ? [v1: $i] : (sdtpldt0(v0, xp) = v1 & sdtpldt0(xn, xm) = % 51.33/7.55 | v0 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! % 51.33/7.55 | [v5: $i] : ! [v6: $i] : ( ~ (sdtpldt0(v5, v4) = v6) | ~ % 51.33/7.55 | (sdtpldt0(v2, v3) = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ? % 51.33/7.55 | [v7: any] : ? [v8: any] : ? [v9: any] : ? [v10: any] : ? [v11: % 51.33/7.55 | $i] : ? [v12: any] : ? [v13: any] : ? [v14: any] : ? [v15: % 51.33/7.55 | any] : (isPrime0(v4) = v10 & doDivides0(v4, v11) = v12 & % 51.33/7.55 | doDivides0(v4, v3) = v15 & doDivides0(v4, v2) = v14 & iLess0(v6, % 51.33/7.55 | v1) = v13 & sdtasdt0(v2, v3) = v11 & aNaturalNumber0(v4) = v9 & % 51.33/7.55 | aNaturalNumber0(v3) = v8 & aNaturalNumber0(v2) = v7 & $i(v11) & ( % 51.33/7.55 | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ % 51.33/7.55 | (v8 = 0) | ~ (v7 = 0) | v15 = 0 | v14 = 0)))) % 51.33/7.55 | % 51.33/7.55 | ALPHA: (m__1860) implies: % 51.33/7.55 | (10) ? [v0: $i] : (isPrime0(xp) = 0 & doDivides0(xp, v0) = 0 & % 51.33/7.55 | sdtasdt0(xn, xm) = v0 & $i(v0)) % 51.33/7.55 | % 51.33/7.55 | ALPHA: (m__2287) implies: % 51.33/7.55 | (11) sdtlseqdt0(xm, xp) = 0 % 51.33/7.55 | % 51.33/7.55 | ALPHA: (m__2306) implies: % 51.33/7.56 | (12) ? [v0: $i] : (sdtsldt0(v0, xp) = xk & sdtasdt0(xn, xm) = v0 & $i(v0)) % 51.33/7.56 | % 51.33/7.56 | ALPHA: (m__2327) implies: % 51.33/7.56 | (13) ~ (xk = sz00) % 51.33/7.56 | (14) ~ (xk = sz10) % 51.33/7.56 | % 51.33/7.56 | ALPHA: (m__2342) implies: % 51.33/7.56 | (15) aNaturalNumber0(xr) = 0 % 51.33/7.56 | (16) doDivides0(xr, xk) = 0 % 51.33/7.56 | (17) isPrime0(xr) = 0 % 51.33/7.56 | % 51.33/7.56 | ALPHA: (m__2362) implies: % 51.33/7.56 | (18) ? [v0: $i] : (doDivides0(xr, v0) = 0 & sdtlseqdt0(xr, xk) = 0 & % 51.33/7.56 | sdtasdt0(xn, xm) = v0 & $i(v0)) % 51.33/7.56 | % 51.33/7.56 | ALPHA: (m__2377) implies: % 51.33/7.56 | (19) ~ (xk = xp) % 51.33/7.56 | (20) sdtlseqdt0(xk, xp) = 0 % 51.33/7.56 | % 51.33/7.56 | ALPHA: (m__2449) implies: % 51.33/7.56 | (21) ? [v0: any] : ? [v1: any] : (doDivides0(xr, xm) = v1 & % 51.33/7.56 | doDivides0(xr, xn) = v0 & (v1 = 0 | v0 = 0)) % 51.33/7.56 | % 51.33/7.56 | ALPHA: (m__2487) implies: % 51.33/7.56 | (22) doDivides0(xr, xn) = 0 % 51.33/7.56 | % 51.33/7.56 | ALPHA: (m__2504) implies: % 51.33/7.56 | (23) ? [v0: $i] : ( ~ (v0 = xn) & sdtsldt0(xn, xr) = v0 & sdtlseqdt0(v0, % 51.33/7.56 | xn) = 0 & $i(v0)) % 51.33/7.56 | % 51.33/7.56 | ALPHA: (m__) implies: % 51.33/7.56 | (24) $i(xn) % 51.33/7.56 | (25) $i(xm) % 51.33/7.56 | (26) $i(xp) % 51.33/7.56 | (27) $i(xk) % 51.33/7.56 | (28) $i(xr) % 51.33/7.56 | (29) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 51.33/7.56 | ? [v5: $i] : ? [v6: $i] : (sdtsldt0(v4, xr) = v5 & sdtsldt0(xn, xr) = % 51.33/7.56 | v0 & sdtasdt0(v5, xr) = v6 & sdtasdt0(v1, xr) = v2 & sdtasdt0(v0, % 51.33/7.56 | xm) = v1 & sdtasdt0(xp, xk) = v4 & sdtasdt0(xn, xm) = v3 & $i(v6) % 51.33/7.56 | & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v6 = % 51.33/7.56 | v2) | ~ (v3 = v2))) % 51.33/7.56 | % 51.33/7.56 | ALPHA: (function-axioms) implies: % 51.33/7.56 | (30) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 51.33/7.56 | : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) = % 51.33/7.56 | v0)) % 51.33/7.56 | (31) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 51.33/7.56 | (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0)) % 51.33/7.56 | (32) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 51.33/7.56 | : ! [v3: $i] : (v1 = v0 | ~ (doDivides0(v3, v2) = v1) | ~ % 51.33/7.56 | (doDivides0(v3, v2) = v0)) % 51.33/7.56 | (33) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 51.33/7.56 | (sdtsldt0(v3, v2) = v1) | ~ (sdtsldt0(v3, v2) = v0)) % 51.33/7.56 | % 51.33/7.56 | DELTA: instantiating (12) with fresh symbol all_42_0 gives: % 51.33/7.56 | (34) sdtsldt0(all_42_0, xp) = xk & sdtasdt0(xn, xm) = all_42_0 & % 51.33/7.56 | $i(all_42_0) % 51.33/7.56 | % 51.33/7.56 | ALPHA: (34) implies: % 51.33/7.57 | (35) sdtasdt0(xn, xm) = all_42_0 % 51.33/7.57 | (36) sdtsldt0(all_42_0, xp) = xk % 51.33/7.57 | % 51.33/7.57 | DELTA: instantiating (10) with fresh symbol all_44_0 gives: % 51.33/7.57 | (37) isPrime0(xp) = 0 & doDivides0(xp, all_44_0) = 0 & sdtasdt0(xn, xm) = % 51.33/7.57 | all_44_0 & $i(all_44_0) % 51.33/7.57 | % 51.33/7.57 | ALPHA: (37) implies: % 51.33/7.57 | (38) $i(all_44_0) % 51.33/7.57 | (39) sdtasdt0(xn, xm) = all_44_0 % 51.33/7.57 | (40) doDivides0(xp, all_44_0) = 0 % 51.33/7.57 | (41) isPrime0(xp) = 0 % 51.33/7.57 | % 51.33/7.57 | DELTA: instantiating (18) with fresh symbol all_46_0 gives: % 51.33/7.57 | (42) doDivides0(xr, all_46_0) = 0 & sdtlseqdt0(xr, xk) = 0 & sdtasdt0(xn, % 51.33/7.57 | xm) = all_46_0 & $i(all_46_0) % 51.33/7.57 | % 51.33/7.57 | ALPHA: (42) implies: % 51.33/7.57 | (43) sdtasdt0(xn, xm) = all_46_0 % 51.33/7.57 | (44) sdtlseqdt0(xr, xk) = 0 % 51.33/7.57 | (45) doDivides0(xr, all_46_0) = 0 % 51.33/7.57 | % 51.33/7.57 | DELTA: instantiating (21) with fresh symbols all_48_0, all_48_1 gives: % 51.33/7.57 | (46) doDivides0(xr, xm) = all_48_0 & doDivides0(xr, xn) = all_48_1 & % 51.33/7.57 | (all_48_0 = 0 | all_48_1 = 0) % 51.33/7.57 | % 51.33/7.57 | ALPHA: (46) implies: % 51.33/7.57 | (47) doDivides0(xr, xn) = all_48_1 % 51.33/7.57 | % 51.33/7.57 | DELTA: instantiating (23) with fresh symbol all_50_0 gives: % 51.33/7.57 | (48) ~ (all_50_0 = xn) & sdtsldt0(xn, xr) = all_50_0 & % 51.33/7.57 | sdtlseqdt0(all_50_0, xn) = 0 & $i(all_50_0) % 51.33/7.57 | % 51.33/7.57 | ALPHA: (48) implies: % 51.33/7.57 | (49) ~ (all_50_0 = xn) % 51.33/7.57 | (50) sdtlseqdt0(all_50_0, xn) = 0 % 51.33/7.57 | (51) sdtsldt0(xn, xr) = all_50_0 % 51.33/7.57 | % 51.33/7.57 | DELTA: instantiating (29) with fresh symbols all_52_0, all_52_1, all_52_2, % 51.33/7.57 | all_52_3, all_52_4, all_52_5, all_52_6 gives: % 51.33/7.57 | (52) sdtsldt0(all_52_2, xr) = all_52_1 & sdtsldt0(xn, xr) = all_52_6 & % 51.33/7.57 | sdtasdt0(all_52_1, xr) = all_52_0 & sdtasdt0(all_52_5, xr) = all_52_4 % 51.33/7.57 | & sdtasdt0(all_52_6, xm) = all_52_5 & sdtasdt0(xp, xk) = all_52_2 & % 51.33/7.57 | sdtasdt0(xn, xm) = all_52_3 & $i(all_52_0) & $i(all_52_1) & % 51.33/7.57 | $i(all_52_2) & $i(all_52_3) & $i(all_52_4) & $i(all_52_5) & % 51.33/7.57 | $i(all_52_6) & ( ~ (all_52_0 = all_52_4) | ~ (all_52_3 = all_52_4)) % 51.33/7.57 | % 51.33/7.57 | ALPHA: (52) implies: % 51.33/7.57 | (53) $i(all_52_6) % 51.33/7.57 | (54) $i(all_52_5) % 51.33/7.57 | (55) $i(all_52_2) % 51.33/7.57 | (56) $i(all_52_1) % 51.33/7.57 | (57) sdtasdt0(xn, xm) = all_52_3 % 51.33/7.57 | (58) sdtasdt0(xp, xk) = all_52_2 % 51.33/7.58 | (59) sdtasdt0(all_52_6, xm) = all_52_5 % 51.33/7.58 | (60) sdtasdt0(all_52_5, xr) = all_52_4 % 51.33/7.58 | (61) sdtasdt0(all_52_1, xr) = all_52_0 % 51.33/7.58 | (62) sdtsldt0(xn, xr) = all_52_6 % 51.33/7.58 | (63) sdtsldt0(all_52_2, xr) = all_52_1 % 51.33/7.58 | (64) ~ (all_52_0 = all_52_4) | ~ (all_52_3 = all_52_4) % 51.33/7.58 | % 51.33/7.58 | DELTA: instantiating (9) with fresh symbols all_54_0, all_54_1 gives: % 51.33/7.58 | (65) sdtpldt0(all_54_1, xp) = all_54_0 & sdtpldt0(xn, xm) = all_54_1 & % 51.33/7.58 | $i(all_54_0) & $i(all_54_1) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 51.33/7.58 | : ! [v3: $i] : ! [v4: $i] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ % 51.33/7.58 | (sdtpldt0(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 51.33/7.58 | [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: $i] % 51.33/7.58 | : ? [v10: any] : ? [v11: any] : ? [v12: any] : ? [v13: any] : % 51.33/7.58 | (isPrime0(v2) = v8 & doDivides0(v2, v9) = v10 & doDivides0(v2, v1) = % 51.33/7.58 | v13 & doDivides0(v2, v0) = v12 & iLess0(v4, all_54_0) = v11 & % 51.33/7.58 | sdtasdt0(v0, v1) = v9 & aNaturalNumber0(v2) = v7 & % 51.33/7.58 | aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0) = v5 & $i(v9) & ( ~ % 51.33/7.58 | (v11 = 0) | ~ (v10 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = % 51.33/7.58 | 0) | ~ (v5 = 0) | v13 = 0 | v12 = 0))) % 51.33/7.58 | % 51.33/7.58 | ALPHA: (65) implies: % 51.33/7.58 | (66) $i(all_54_1) % 51.33/7.58 | (67) sdtpldt0(xn, xm) = all_54_1 % 51.33/7.58 | (68) sdtpldt0(all_54_1, xp) = all_54_0 % 51.33/7.58 | (69) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 51.33/7.58 | ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ $i(v2) | % 51.33/7.58 | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] : % 51.33/7.58 | ? [v8: any] : ? [v9: $i] : ? [v10: any] : ? [v11: any] : ? % 51.33/7.58 | [v12: any] : ? [v13: any] : (isPrime0(v2) = v8 & doDivides0(v2, v9) % 51.33/7.58 | = v10 & doDivides0(v2, v1) = v13 & doDivides0(v2, v0) = v12 & % 51.33/7.58 | iLess0(v4, all_54_0) = v11 & sdtasdt0(v0, v1) = v9 & % 51.33/7.58 | aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 & % 51.33/7.58 | aNaturalNumber0(v0) = v5 & $i(v9) & ( ~ (v11 = 0) | ~ (v10 = 0) | % 51.33/7.58 | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v13 = 0 % 51.33/7.58 | | v12 = 0))) % 51.33/7.58 | % 51.33/7.58 | GROUND_INST: instantiating (31) with all_46_0, all_52_3, xm, xn, simplifying % 51.33/7.58 | with (43), (57) gives: % 51.33/7.58 | (70) all_52_3 = all_46_0 % 51.33/7.58 | % 51.33/7.58 | GROUND_INST: instantiating (31) with all_44_0, all_52_3, xm, xn, simplifying % 51.33/7.58 | with (39), (57) gives: % 51.33/7.58 | (71) all_52_3 = all_44_0 % 51.33/7.58 | % 51.33/7.58 | GROUND_INST: instantiating (31) with all_42_0, all_52_3, xm, xn, simplifying % 51.33/7.58 | with (35), (57) gives: % 51.33/7.58 | (72) all_52_3 = all_42_0 % 51.33/7.58 | % 51.33/7.58 | GROUND_INST: instantiating (32) with 0, all_48_1, xn, xr, simplifying with % 51.33/7.58 | (22), (47) gives: % 51.33/7.58 | (73) all_48_1 = 0 % 51.33/7.58 | % 51.33/7.58 | GROUND_INST: instantiating (33) with all_50_0, all_52_6, xr, xn, simplifying % 51.33/7.58 | with (51), (62) gives: % 51.33/7.58 | (74) all_52_6 = all_50_0 % 51.33/7.58 | % 51.33/7.58 | COMBINE_EQS: (70), (71) imply: % 51.33/7.58 | (75) all_46_0 = all_44_0 % 51.33/7.58 | % 51.33/7.58 | COMBINE_EQS: (70), (72) imply: % 51.33/7.58 | (76) all_46_0 = all_42_0 % 51.33/7.58 | % 51.33/7.58 | COMBINE_EQS: (75), (76) imply: % 51.33/7.58 | (77) all_44_0 = all_42_0 % 51.33/7.58 | % 51.33/7.58 | REDUCE: (45), (76) imply: % 51.33/7.59 | (78) doDivides0(xr, all_42_0) = 0 % 51.33/7.59 | % 51.33/7.59 | REDUCE: (40), (77) imply: % 51.33/7.59 | (79) doDivides0(xp, all_42_0) = 0 % 51.33/7.59 | % 51.33/7.59 | REDUCE: (59), (74) imply: % 51.33/7.59 | (80) sdtasdt0(all_50_0, xm) = all_52_5 % 51.33/7.59 | % 51.33/7.59 | REDUCE: (53), (74) imply: % 51.33/7.59 | (81) $i(all_50_0) % 51.33/7.59 | % 51.33/7.59 | REDUCE: (38), (77) imply: % 51.33/7.59 | (82) $i(all_42_0) % 51.33/7.59 | % 51.33/7.59 | GROUND_INST: instantiating (5) with xp, simplifying with (8), (26) gives: % 51.33/7.59 | (83) xp = sz10 | xp = sz00 | ? [v0: $i] : (isPrime0(v0) = 0 & % 51.33/7.59 | doDivides0(v0, xp) = 0 & aNaturalNumber0(v0) = 0 & $i(v0)) % 51.33/7.59 | % 51.33/7.59 | GROUND_INST: instantiating (5) with xr, simplifying with (15), (28) gives: % 51.33/7.59 | (84) xr = sz10 | xr = sz00 | ? [v0: $i] : (isPrime0(v0) = 0 & % 51.33/7.59 | doDivides0(v0, xr) = 0 & aNaturalNumber0(v0) = 0 & $i(v0)) % 51.33/7.59 | % 51.33/7.59 | GROUND_INST: instantiating (mAddComm) with xn, xm, all_54_1, simplifying with % 51.33/7.59 | (24), (25), (67) gives: % 51.33/7.59 | (85) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtpldt0(xm, xn) = v2 & % 51.33/7.59 | aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & $i(v2) & ( ~ % 51.33/7.59 | (v1 = 0) | ~ (v0 = 0) | v2 = all_54_1)) % 51.33/7.59 | % 51.33/7.59 | GROUND_INST: instantiating (mSortsB) with xn, xm, all_54_1, simplifying with % 51.33/7.59 | (24), (25), (67) gives: % 51.33/7.59 | (86) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 51.33/7.59 | (aNaturalNumber0(all_54_1) = v2 & aNaturalNumber0(xm) = v1 & % 51.33/7.59 | aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 51.33/7.59 | % 51.33/7.59 | GROUND_INST: instantiating (69) with xn, xm, xp, all_54_1, all_54_0, % 51.33/7.59 | simplifying with (24), (25), (26), (67), (68) gives: % 51.33/7.59 | (87) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4: % 51.33/7.59 | $i] : ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: any] : % 51.33/7.59 | (isPrime0(xp) = v3 & doDivides0(xp, v4) = v5 & doDivides0(xp, xm) = v8 % 51.33/7.59 | & doDivides0(xp, xn) = v7 & iLess0(all_54_0, all_54_0) = v6 & % 51.33/7.59 | sdtasdt0(xn, xm) = v4 & aNaturalNumber0(xp) = v2 & % 51.33/7.59 | aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & $i(v4) & ( ~ % 51.33/7.59 | (v6 = 0) | ~ (v5 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | % 51.33/7.59 | ~ (v0 = 0) | v8 = 0 | v7 = 0)) % 51.33/7.59 | % 51.33/7.59 | GROUND_INST: instantiating (mAddAsso) with xn, xm, xp, all_54_1, all_54_0, % 51.33/7.59 | simplifying with (24), (25), (26), (67), (68) gives: % 51.33/7.59 | (88) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4: $i] % 51.33/7.59 | : (sdtpldt0(xm, xp) = v3 & sdtpldt0(xn, v3) = v4 & aNaturalNumber0(xp) % 51.33/7.59 | = v2 & aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & $i(v4) % 51.33/7.59 | & $i(v3) & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = % 51.33/7.59 | all_54_0)) % 51.33/7.59 | % 51.33/7.59 | GROUND_INST: instantiating (mAddComm) with all_54_1, xp, all_54_0, simplifying % 51.33/7.59 | with (26), (66), (68) gives: % 51.33/7.59 | (89) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtpldt0(xp, all_54_1) = % 51.33/7.59 | v2 & aNaturalNumber0(all_54_1) = v0 & aNaturalNumber0(xp) = v1 & % 51.33/7.59 | $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_54_0)) % 51.33/7.59 | % 51.33/7.59 | GROUND_INST: instantiating (mSortsB) with all_54_1, xp, all_54_0, simplifying % 51.33/7.59 | with (26), (66), (68) gives: % 51.33/7.59 | (90) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 51.33/7.59 | (aNaturalNumber0(all_54_0) = v2 & aNaturalNumber0(all_54_1) = v0 & % 51.33/7.59 | aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 51.33/7.59 | % 51.33/7.59 | GROUND_INST: instantiating (mMulComm) with xn, xm, all_42_0, simplifying with % 51.33/7.59 | (24), (25), (35) gives: % 51.33/7.59 | (91) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtasdt0(xm, xn) = v2 & % 51.33/7.59 | aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & $i(v2) & ( ~ % 51.33/7.59 | (v1 = 0) | ~ (v0 = 0) | v2 = all_42_0)) % 51.33/7.59 | % 51.33/7.59 | GROUND_INST: instantiating (mSortsB_02) with xn, xm, all_42_0, simplifying % 51.33/7.59 | with (24), (25), (35) gives: % 51.33/7.60 | (92) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 51.33/7.60 | (aNaturalNumber0(all_42_0) = v2 & aNaturalNumber0(xm) = v1 & % 51.33/7.60 | aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 51.33/7.60 | % 51.33/7.60 | GROUND_INST: instantiating (mMulComm) with xp, xk, all_52_2, simplifying with % 51.33/7.60 | (26), (27), (58) gives: % 51.33/7.60 | (93) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtasdt0(xk, xp) = v2 & % 51.33/7.60 | aNaturalNumber0(xk) = v1 & aNaturalNumber0(xp) = v0 & $i(v2) & ( ~ % 51.33/7.60 | (v1 = 0) | ~ (v0 = 0) | v2 = all_52_2)) % 51.33/7.60 | % 51.33/7.60 | GROUND_INST: instantiating (mSortsB_02) with xp, xk, all_52_2, simplifying % 51.33/7.60 | with (26), (27), (58) gives: % 51.33/7.60 | (94) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 51.33/7.60 | (aNaturalNumber0(all_52_2) = v2 & aNaturalNumber0(xk) = v1 & % 51.33/7.60 | aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 51.33/7.60 | % 51.33/7.60 | GROUND_INST: instantiating (mMulComm) with all_50_0, xm, all_52_5, simplifying % 51.33/7.60 | with (25), (80), (81) gives: % 51.33/7.60 | (95) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtasdt0(xm, all_50_0) = % 51.33/7.60 | v2 & aNaturalNumber0(all_50_0) = v0 & aNaturalNumber0(xm) = v1 & % 51.33/7.60 | $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_52_5)) % 51.33/7.60 | % 51.33/7.60 | GROUND_INST: instantiating (mSortsB_02) with all_50_0, xm, all_52_5, % 51.33/7.60 | simplifying with (25), (80), (81) gives: % 51.33/7.60 | (96) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 51.33/7.60 | (aNaturalNumber0(all_52_5) = v2 & aNaturalNumber0(all_50_0) = v0 & % 51.33/7.60 | aNaturalNumber0(xm) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 51.33/7.60 | % 51.33/7.60 | GROUND_INST: instantiating (mMulAsso) with all_50_0, xm, xr, all_52_5, % 51.33/7.60 | all_52_4, simplifying with (25), (28), (60), (80), (81) gives: % 51.33/7.60 | (97) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4: $i] % 51.33/7.60 | : (sdtasdt0(all_50_0, v3) = v4 & sdtasdt0(xm, xr) = v3 & % 51.33/7.60 | aNaturalNumber0(all_50_0) = v0 & aNaturalNumber0(xr) = v2 & % 51.33/7.60 | aNaturalNumber0(xm) = v1 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 = % 51.33/7.60 | 0) | ~ (v0 = 0) | v4 = all_52_4)) % 51.33/7.60 | % 51.33/7.60 | GROUND_INST: instantiating (mMulComm) with all_52_5, xr, all_52_4, simplifying % 51.33/7.60 | with (28), (54), (60) gives: % 51.33/7.60 | (98) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtasdt0(xr, all_52_5) = % 51.33/7.60 | v2 & aNaturalNumber0(all_52_5) = v0 & aNaturalNumber0(xr) = v1 & % 51.33/7.60 | $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_52_4)) % 51.33/7.60 | % 51.33/7.60 | GROUND_INST: instantiating (mSortsB_02) with all_52_5, xr, all_52_4, % 51.33/7.60 | simplifying with (28), (54), (60) gives: % 51.33/7.60 | (99) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 51.33/7.60 | (aNaturalNumber0(all_52_4) = v2 & aNaturalNumber0(all_52_5) = v0 & % 51.33/7.60 | aNaturalNumber0(xr) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 51.33/7.60 | % 51.33/7.60 | GROUND_INST: instantiating (mMulComm) with all_52_1, xr, all_52_0, simplifying % 51.33/7.60 | with (28), (56), (61) gives: % 51.33/7.60 | (100) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtasdt0(xr, all_52_1) = % 51.33/7.60 | v2 & aNaturalNumber0(all_52_1) = v0 & aNaturalNumber0(xr) = v1 & % 51.33/7.60 | $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_52_0)) % 51.33/7.60 | % 51.33/7.60 | GROUND_INST: instantiating (mSortsB_02) with all_52_1, xr, all_52_0, % 51.33/7.60 | simplifying with (28), (56), (61) gives: % 51.33/7.60 | (101) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 51.33/7.60 | (aNaturalNumber0(all_52_0) = v2 & aNaturalNumber0(all_52_1) = v0 & % 51.33/7.60 | aNaturalNumber0(xr) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 51.33/7.60 | % 51.33/7.60 | GROUND_INST: instantiating (mDefLE) with xm, xp, 0, simplifying with (11), % 51.33/7.60 | (25), (26) gives: % 51.33/7.60 | (102) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xp) = v1 & % 51.33/7.60 | aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | ? [v0: % 51.33/7.60 | $i] : (sdtpldt0(xm, v0) = xp & aNaturalNumber0(v0) = 0 & $i(v0)) % 51.33/7.60 | % 51.33/7.60 | GROUND_INST: instantiating (mLEAsym) with xk, xp, simplifying with (20), (26), % 51.33/7.60 | (27) gives: % 51.33/7.60 | (103) xk = xp | ? [v0: any] : ? [v1: any] : ? [v2: any] : % 51.33/7.60 | (sdtlseqdt0(xp, xk) = v2 & aNaturalNumber0(xk) = v0 & % 51.33/7.60 | aNaturalNumber0(xp) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = % 51.33/7.60 | 0))) % 51.33/7.60 | % 51.33/7.60 | GROUND_INST: instantiating (mDefLE) with xk, xp, 0, simplifying with (20), % 51.33/7.60 | (26), (27) gives: % 51.33/7.61 | (104) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xk) = v0 & % 51.33/7.61 | aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))) | ? [v0: % 51.33/7.61 | $i] : (sdtpldt0(xk, v0) = xp & aNaturalNumber0(v0) = 0 & $i(v0)) % 51.33/7.61 | % 51.33/7.61 | GROUND_INST: instantiating (mDefLE) with xr, xk, 0, simplifying with (27), % 51.33/7.61 | (28), (44) gives: % 51.33/7.61 | (105) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xr) = v0 & % 51.33/7.61 | aNaturalNumber0(xk) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))) | ? [v0: % 51.33/7.61 | $i] : (sdtpldt0(xr, v0) = xk & aNaturalNumber0(v0) = 0 & $i(v0)) % 51.33/7.61 | % 51.33/7.61 | GROUND_INST: instantiating (mLEAsym) with all_50_0, xn, simplifying with (24), % 51.33/7.61 | (50), (81) gives: % 52.01/7.61 | (106) all_50_0 = xn | ? [v0: any] : ? [v1: any] : ? [v2: any] : % 52.01/7.61 | (sdtlseqdt0(xn, all_50_0) = v2 & aNaturalNumber0(all_50_0) = v0 & % 52.01/7.61 | aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = % 52.01/7.61 | 0))) % 52.01/7.61 | % 52.01/7.61 | GROUND_INST: instantiating (mDefDiv) with xr, xn, 0, simplifying with (22), % 52.01/7.61 | (24), (28) gives: % 52.01/7.61 | (107) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xr) = v0 & % 52.01/7.61 | aNaturalNumber0(xn) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))) | ? [v0: % 52.01/7.61 | $i] : (sdtasdt0(xr, v0) = xn & aNaturalNumber0(v0) = 0 & $i(v0)) % 52.01/7.61 | % 52.01/7.61 | GROUND_INST: instantiating (mDefDiv) with xr, xk, 0, simplifying with (16), % 52.01/7.61 | (27), (28) gives: % 52.01/7.61 | (108) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xr) = v0 & % 52.01/7.61 | aNaturalNumber0(xk) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))) | ? [v0: % 52.01/7.61 | $i] : (sdtasdt0(xr, v0) = xk & aNaturalNumber0(v0) = 0 & $i(v0)) % 52.01/7.61 | % 52.01/7.61 | GROUND_INST: instantiating (mDefDiv) with xr, all_42_0, 0, simplifying with % 52.01/7.61 | (28), (78), (82) gives: % 52.01/7.61 | (109) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(all_42_0) = v1 & % 52.01/7.61 | aNaturalNumber0(xr) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | ? [v0: % 52.01/7.61 | $i] : (sdtasdt0(xr, v0) = all_42_0 & aNaturalNumber0(v0) = 0 & % 52.01/7.61 | $i(v0)) % 52.01/7.61 | % 52.01/7.61 | GROUND_INST: instantiating (3) with xr, xn, all_50_0, simplifying with (24), % 52.01/7.61 | (28), (51) gives: % 52.01/7.61 | (110) xr = sz00 | ? [v0: any] : ? [v1: any] : ? [v2: any] : % 52.01/7.61 | (doDivides0(xr, xn) = v2 & aNaturalNumber0(xr) = v0 & % 52.01/7.61 | aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = % 52.01/7.61 | 0))) | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 52.01/7.61 | (sdtsldt0(v1, xr) = v2) | ~ (sdtasdt0(v0, xn) = v1) | ~ $i(v0) | % 52.01/7.61 | ? [v3: any] : ? [v4: $i] : (sdtasdt0(v0, all_50_0) = v4 & % 52.01/7.61 | aNaturalNumber0(v0) = v3 & $i(v4) & ( ~ (v3 = 0) | v4 = v2))) % 52.01/7.61 | % 52.01/7.61 | GROUND_INST: instantiating (1) with xr, xn, all_50_0, simplifying with (24), % 52.01/7.61 | (28), (51) gives: % 52.01/7.61 | (111) xr = sz00 | ? [v0: any] : ? [v1: any] : ? [v2: any] : % 52.01/7.61 | (doDivides0(xr, xn) = v2 & aNaturalNumber0(xr) = v0 & % 52.01/7.61 | aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = % 52.01/7.61 | 0))) | ( ! [v0: any] : (v0 = all_50_0 | ~ (sdtasdt0(xr, v0) = % 52.01/7.61 | xn) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & % 52.01/7.61 | aNaturalNumber0(v0) = v1)) & ! [v0: $i] : ( ~ (sdtasdt0(xr, % 52.01/7.61 | all_50_0) = v0) | ~ $i(all_50_0) | (v0 = xn & % 52.01/7.61 | aNaturalNumber0(all_50_0) = 0))) % 52.01/7.61 | % 52.01/7.61 | GROUND_INST: instantiating (1) with xp, all_42_0, xk, simplifying with (26), % 52.01/7.61 | (36), (82) gives: % 52.01/7.61 | (112) xp = sz00 | ? [v0: any] : ? [v1: any] : ? [v2: any] : % 52.01/7.61 | (doDivides0(xp, all_42_0) = v2 & aNaturalNumber0(all_42_0) = v1 & % 52.01/7.61 | aNaturalNumber0(xp) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = % 52.01/7.61 | 0))) | ( ! [v0: $i] : (v0 = xk | ~ (sdtasdt0(xp, v0) = % 52.01/7.61 | all_42_0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & % 52.01/7.61 | aNaturalNumber0(v0) = v1)) & ! [v0: $i] : ( ~ (sdtasdt0(xp, % 52.01/7.61 | xk) = v0) | ~ $i(xk) | (v0 = all_42_0 & aNaturalNumber0(xk) % 52.01/7.61 | = 0))) % 52.01/7.61 | % 52.01/7.61 | GROUND_INST: instantiating (1) with xr, all_52_2, all_52_1, simplifying with % 52.01/7.61 | (28), (55), (63) gives: % 52.01/7.62 | (113) xr = sz00 | ? [v0: any] : ? [v1: any] : ? [v2: any] : % 52.01/7.62 | (doDivides0(xr, all_52_2) = v2 & aNaturalNumber0(all_52_2) = v1 & % 52.01/7.62 | aNaturalNumber0(xr) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = % 52.01/7.62 | 0))) | ( ! [v0: any] : (v0 = all_52_1 | ~ (sdtasdt0(xr, v0) = % 52.01/7.62 | all_52_2) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & % 52.01/7.62 | aNaturalNumber0(v0) = v1)) & ! [v0: $i] : ( ~ (sdtasdt0(xr, % 52.01/7.62 | all_52_1) = v0) | ~ $i(all_52_1) | (v0 = all_52_2 & % 52.01/7.62 | aNaturalNumber0(all_52_1) = 0))) % 52.01/7.62 | % 52.01/7.62 | GROUND_INST: instantiating (4) with xp, 0, simplifying with (26), (41) gives: % 52.01/7.62 | (114) ? [v0: int] : ( ~ (v0 = 0) & aNaturalNumber0(xp) = v0) | ( ~ (xp = % 52.01/7.62 | sz10) & ~ (xp = sz00) & ! [v0: $i] : (v0 = xp | v0 = sz10 | ~ % 52.01/7.62 | (doDivides0(v0, xp) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = % 52.01/7.62 | 0) & aNaturalNumber0(v0) = v1))) % 52.01/7.62 | % 52.01/7.62 | GROUND_INST: instantiating (4) with xr, 0, simplifying with (17), (28) gives: % 52.01/7.62 | (115) ? [v0: int] : ( ~ (v0 = 0) & aNaturalNumber0(xr) = v0) | ( ~ (xr = % 52.01/7.62 | sz10) & ~ (xr = sz00) & ! [v0: $i] : (v0 = xr | v0 = sz10 | ~ % 52.01/7.62 | (doDivides0(v0, xr) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = % 52.01/7.62 | 0) & aNaturalNumber0(v0) = v1))) % 52.01/7.62 | % 52.01/7.62 | DELTA: instantiating (101) with fresh symbols all_66_0, all_66_1, all_66_2 % 52.01/7.62 | gives: % 52.01/7.62 | (116) aNaturalNumber0(all_52_0) = all_66_0 & aNaturalNumber0(all_52_1) = % 52.01/7.62 | all_66_2 & aNaturalNumber0(xr) = all_66_1 & ( ~ (all_66_1 = 0) | ~ % 52.01/7.62 | (all_66_2 = 0) | all_66_0 = 0) % 52.01/7.62 | % 52.01/7.62 | ALPHA: (116) implies: % 52.01/7.62 | (117) aNaturalNumber0(xr) = all_66_1 % 52.01/7.62 | (118) aNaturalNumber0(all_52_1) = all_66_2 % 52.01/7.62 | % 52.01/7.62 | DELTA: instantiating (90) with fresh symbols all_68_0, all_68_1, all_68_2 % 52.01/7.62 | gives: % 52.01/7.62 | (119) aNaturalNumber0(all_54_0) = all_68_0 & aNaturalNumber0(all_54_1) = % 52.01/7.62 | all_68_2 & aNaturalNumber0(xp) = all_68_1 & ( ~ (all_68_1 = 0) | ~ % 52.01/7.62 | (all_68_2 = 0) | all_68_0 = 0) % 52.01/7.62 | % 52.01/7.62 | ALPHA: (119) implies: % 52.01/7.62 | (120) aNaturalNumber0(xp) = all_68_1 % 52.01/7.62 | (121) aNaturalNumber0(all_54_1) = all_68_2 % 52.01/7.62 | (122) ~ (all_68_1 = 0) | ~ (all_68_2 = 0) | all_68_0 = 0 % 52.01/7.62 | % 52.01/7.62 | DELTA: instantiating (99) with fresh symbols all_70_0, all_70_1, all_70_2 % 52.01/7.62 | gives: % 52.01/7.62 | (123) aNaturalNumber0(all_52_4) = all_70_0 & aNaturalNumber0(all_52_5) = % 52.01/7.62 | all_70_2 & aNaturalNumber0(xr) = all_70_1 & ( ~ (all_70_1 = 0) | ~ % 52.01/7.62 | (all_70_2 = 0) | all_70_0 = 0) % 52.01/7.62 | % 52.01/7.62 | ALPHA: (123) implies: % 52.01/7.62 | (124) aNaturalNumber0(xr) = all_70_1 % 52.01/7.62 | % 52.01/7.62 | DELTA: instantiating (96) with fresh symbols all_72_0, all_72_1, all_72_2 % 52.01/7.62 | gives: % 52.01/7.62 | (125) aNaturalNumber0(all_52_5) = all_72_0 & aNaturalNumber0(all_50_0) = % 52.01/7.62 | all_72_2 & aNaturalNumber0(xm) = all_72_1 & ( ~ (all_72_1 = 0) | ~ % 52.01/7.62 | (all_72_2 = 0) | all_72_0 = 0) % 52.01/7.62 | % 52.01/7.62 | ALPHA: (125) implies: % 52.01/7.62 | (126) aNaturalNumber0(xm) = all_72_1 % 52.01/7.62 | (127) aNaturalNumber0(all_50_0) = all_72_2 % 52.01/7.62 | % 52.01/7.62 | DELTA: instantiating (94) with fresh symbols all_74_0, all_74_1, all_74_2 % 52.01/7.62 | gives: % 52.01/7.62 | (128) aNaturalNumber0(all_52_2) = all_74_0 & aNaturalNumber0(xk) = all_74_1 % 52.01/7.62 | & aNaturalNumber0(xp) = all_74_2 & ( ~ (all_74_1 = 0) | ~ (all_74_2 % 52.01/7.62 | = 0) | all_74_0 = 0) % 52.01/7.62 | % 52.01/7.62 | ALPHA: (128) implies: % 52.01/7.62 | (129) aNaturalNumber0(xp) = all_74_2 % 52.01/7.62 | (130) aNaturalNumber0(xk) = all_74_1 % 52.01/7.62 | (131) aNaturalNumber0(all_52_2) = all_74_0 % 52.01/7.62 | % 52.01/7.62 | DELTA: instantiating (92) with fresh symbols all_76_0, all_76_1, all_76_2 % 52.01/7.62 | gives: % 52.01/7.62 | (132) aNaturalNumber0(all_42_0) = all_76_0 & aNaturalNumber0(xm) = all_76_1 % 52.01/7.62 | & aNaturalNumber0(xn) = all_76_2 & ( ~ (all_76_1 = 0) | ~ (all_76_2 % 52.01/7.62 | = 0) | all_76_0 = 0) % 52.01/7.62 | % 52.01/7.62 | ALPHA: (132) implies: % 52.01/7.62 | (133) aNaturalNumber0(xn) = all_76_2 % 52.01/7.62 | (134) aNaturalNumber0(xm) = all_76_1 % 52.01/7.62 | (135) aNaturalNumber0(all_42_0) = all_76_0 % 52.01/7.62 | (136) ~ (all_76_1 = 0) | ~ (all_76_2 = 0) | all_76_0 = 0 % 52.01/7.62 | % 52.01/7.62 | DELTA: instantiating (86) with fresh symbols all_78_0, all_78_1, all_78_2 % 52.01/7.62 | gives: % 52.01/7.62 | (137) aNaturalNumber0(all_54_1) = all_78_0 & aNaturalNumber0(xm) = all_78_1 % 52.01/7.62 | & aNaturalNumber0(xn) = all_78_2 & ( ~ (all_78_1 = 0) | ~ (all_78_2 % 52.01/7.62 | = 0) | all_78_0 = 0) % 52.01/7.62 | % 52.01/7.62 | ALPHA: (137) implies: % 52.01/7.62 | (138) aNaturalNumber0(xn) = all_78_2 % 52.01/7.62 | (139) aNaturalNumber0(xm) = all_78_1 % 52.01/7.62 | (140) aNaturalNumber0(all_54_1) = all_78_0 % 52.01/7.62 | (141) ~ (all_78_1 = 0) | ~ (all_78_2 = 0) | all_78_0 = 0 % 52.01/7.62 | % 52.01/7.62 | DELTA: instantiating (100) with fresh symbols all_80_0, all_80_1, all_80_2 % 52.01/7.62 | gives: % 52.01/7.62 | (142) sdtasdt0(xr, all_52_1) = all_80_0 & aNaturalNumber0(all_52_1) = % 52.01/7.62 | all_80_2 & aNaturalNumber0(xr) = all_80_1 & $i(all_80_0) & ( ~ % 52.01/7.62 | (all_80_1 = 0) | ~ (all_80_2 = 0) | all_80_0 = all_52_0) % 52.01/7.62 | % 52.01/7.62 | ALPHA: (142) implies: % 52.01/7.62 | (143) aNaturalNumber0(xr) = all_80_1 % 52.01/7.62 | (144) aNaturalNumber0(all_52_1) = all_80_2 % 52.01/7.62 | (145) sdtasdt0(xr, all_52_1) = all_80_0 % 52.01/7.62 | (146) ~ (all_80_1 = 0) | ~ (all_80_2 = 0) | all_80_0 = all_52_0 % 52.01/7.62 | % 52.01/7.62 | DELTA: instantiating (91) with fresh symbols all_82_0, all_82_1, all_82_2 % 52.01/7.62 | gives: % 52.01/7.62 | (147) sdtasdt0(xm, xn) = all_82_0 & aNaturalNumber0(xm) = all_82_1 & % 52.01/7.62 | aNaturalNumber0(xn) = all_82_2 & $i(all_82_0) & ( ~ (all_82_1 = 0) | % 52.01/7.62 | ~ (all_82_2 = 0) | all_82_0 = all_42_0) % 52.01/7.62 | % 52.01/7.62 | ALPHA: (147) implies: % 52.01/7.62 | (148) aNaturalNumber0(xn) = all_82_2 % 52.01/7.62 | (149) aNaturalNumber0(xm) = all_82_1 % 52.01/7.62 | (150) sdtasdt0(xm, xn) = all_82_0 % 52.01/7.62 | (151) ~ (all_82_1 = 0) | ~ (all_82_2 = 0) | all_82_0 = all_42_0 % 52.01/7.62 | % 52.01/7.62 | DELTA: instantiating (98) with fresh symbols all_84_0, all_84_1, all_84_2 % 52.01/7.62 | gives: % 52.01/7.63 | (152) sdtasdt0(xr, all_52_5) = all_84_0 & aNaturalNumber0(all_52_5) = % 52.01/7.63 | all_84_2 & aNaturalNumber0(xr) = all_84_1 & $i(all_84_0) & ( ~ % 52.01/7.63 | (all_84_1 = 0) | ~ (all_84_2 = 0) | all_84_0 = all_52_4) % 52.01/7.63 | % 52.01/7.63 | ALPHA: (152) implies: % 52.01/7.63 | (153) aNaturalNumber0(xr) = all_84_1 % 52.01/7.63 | (154) sdtasdt0(xr, all_52_5) = all_84_0 % 52.01/7.63 | % 52.01/7.63 | DELTA: instantiating (89) with fresh symbols all_86_0, all_86_1, all_86_2 % 52.01/7.63 | gives: % 52.01/7.63 | (155) sdtpldt0(xp, all_54_1) = all_86_0 & aNaturalNumber0(all_54_1) = % 52.01/7.63 | all_86_2 & aNaturalNumber0(xp) = all_86_1 & $i(all_86_0) & ( ~ % 52.01/7.63 | (all_86_1 = 0) | ~ (all_86_2 = 0) | all_86_0 = all_54_0) % 52.01/7.63 | % 52.01/7.63 | ALPHA: (155) implies: % 52.01/7.63 | (156) aNaturalNumber0(xp) = all_86_1 % 52.01/7.63 | (157) aNaturalNumber0(all_54_1) = all_86_2 % 52.01/7.63 | (158) sdtpldt0(xp, all_54_1) = all_86_0 % 52.01/7.63 | (159) ~ (all_86_1 = 0) | ~ (all_86_2 = 0) | all_86_0 = all_54_0 % 52.01/7.63 | % 52.01/7.63 | DELTA: instantiating (85) with fresh symbols all_88_0, all_88_1, all_88_2 % 52.01/7.63 | gives: % 52.01/7.63 | (160) sdtpldt0(xm, xn) = all_88_0 & aNaturalNumber0(xm) = all_88_1 & % 52.01/7.63 | aNaturalNumber0(xn) = all_88_2 & $i(all_88_0) & ( ~ (all_88_1 = 0) | % 52.01/7.63 | ~ (all_88_2 = 0) | all_88_0 = all_54_1) % 52.01/7.63 | % 52.01/7.63 | ALPHA: (160) implies: % 52.01/7.63 | (161) $i(all_88_0) % 52.01/7.63 | (162) aNaturalNumber0(xn) = all_88_2 % 52.01/7.63 | (163) aNaturalNumber0(xm) = all_88_1 % 52.01/7.63 | (164) sdtpldt0(xm, xn) = all_88_0 % 52.01/7.63 | (165) ~ (all_88_1 = 0) | ~ (all_88_2 = 0) | all_88_0 = all_54_1 % 52.01/7.63 | % 52.01/7.63 | DELTA: instantiating (95) with fresh symbols all_90_0, all_90_1, all_90_2 % 52.01/7.63 | gives: % 52.01/7.63 | (166) sdtasdt0(xm, all_50_0) = all_90_0 & aNaturalNumber0(all_50_0) = % 52.01/7.63 | all_90_2 & aNaturalNumber0(xm) = all_90_1 & $i(all_90_0) & ( ~ % 52.01/7.63 | (all_90_1 = 0) | ~ (all_90_2 = 0) | all_90_0 = all_52_5) % 52.01/7.63 | % 52.01/7.63 | ALPHA: (166) implies: % 52.01/7.63 | (167) aNaturalNumber0(xm) = all_90_1 % 52.01/7.63 | (168) aNaturalNumber0(all_50_0) = all_90_2 % 52.01/7.63 | (169) sdtasdt0(xm, all_50_0) = all_90_0 % 52.01/7.63 | % 52.01/7.63 | DELTA: instantiating (93) with fresh symbols all_92_0, all_92_1, all_92_2 % 52.01/7.63 | gives: % 52.01/7.63 | (170) sdtasdt0(xk, xp) = all_92_0 & aNaturalNumber0(xk) = all_92_1 & % 52.01/7.63 | aNaturalNumber0(xp) = all_92_2 & $i(all_92_0) & ( ~ (all_92_1 = 0) | % 52.01/7.63 | ~ (all_92_2 = 0) | all_92_0 = all_52_2) % 52.01/7.63 | % 52.01/7.63 | ALPHA: (170) implies: % 52.01/7.63 | (171) aNaturalNumber0(xp) = all_92_2 % 52.01/7.63 | (172) aNaturalNumber0(xk) = all_92_1 % 52.01/7.63 | (173) sdtasdt0(xk, xp) = all_92_0 % 52.01/7.63 | (174) ~ (all_92_1 = 0) | ~ (all_92_2 = 0) | all_92_0 = all_52_2 % 52.01/7.63 | % 52.01/7.63 | DELTA: instantiating (97) with fresh symbols all_94_0, all_94_1, all_94_2, % 52.01/7.63 | all_94_3, all_94_4 gives: % 52.01/7.63 | (175) sdtasdt0(all_50_0, all_94_1) = all_94_0 & sdtasdt0(xm, xr) = all_94_1 % 52.01/7.63 | & aNaturalNumber0(all_50_0) = all_94_4 & aNaturalNumber0(xr) = % 52.01/7.63 | all_94_2 & aNaturalNumber0(xm) = all_94_3 & $i(all_94_0) & % 52.01/7.63 | $i(all_94_1) & ( ~ (all_94_2 = 0) | ~ (all_94_3 = 0) | ~ (all_94_4 % 52.01/7.63 | = 0) | all_94_0 = all_52_4) % 52.01/7.63 | % 52.01/7.63 | ALPHA: (175) implies: % 52.01/7.63 | (176) $i(all_94_1) % 52.01/7.63 | (177) aNaturalNumber0(xm) = all_94_3 % 52.01/7.63 | (178) aNaturalNumber0(xr) = all_94_2 % 52.01/7.63 | (179) aNaturalNumber0(all_50_0) = all_94_4 % 52.01/7.63 | (180) sdtasdt0(xm, xr) = all_94_1 % 52.01/7.63 | (181) sdtasdt0(all_50_0, all_94_1) = all_94_0 % 52.01/7.63 | % 52.01/7.63 | DELTA: instantiating (88) with fresh symbols all_96_0, all_96_1, all_96_2, % 52.01/7.63 | all_96_3, all_96_4 gives: % 52.01/7.63 | (182) sdtpldt0(xm, xp) = all_96_1 & sdtpldt0(xn, all_96_1) = all_96_0 & % 52.01/7.63 | aNaturalNumber0(xp) = all_96_2 & aNaturalNumber0(xm) = all_96_3 & % 52.01/7.63 | aNaturalNumber0(xn) = all_96_4 & $i(all_96_0) & $i(all_96_1) & ( ~ % 52.01/7.63 | (all_96_2 = 0) | ~ (all_96_3 = 0) | ~ (all_96_4 = 0) | all_96_0 = % 52.01/7.63 | all_54_0) % 52.01/7.63 | % 52.01/7.63 | ALPHA: (182) implies: % 52.01/7.63 | (183) aNaturalNumber0(xn) = all_96_4 % 52.01/7.63 | (184) aNaturalNumber0(xm) = all_96_3 % 52.01/7.63 | (185) aNaturalNumber0(xp) = all_96_2 % 52.01/7.63 | (186) sdtpldt0(xm, xp) = all_96_1 % 52.01/7.63 | % 52.01/7.63 | DELTA: instantiating (87) with fresh symbols all_98_0, all_98_1, all_98_2, % 52.01/7.63 | all_98_3, all_98_4, all_98_5, all_98_6, all_98_7, all_98_8 gives: % 52.01/7.63 | (187) isPrime0(xp) = all_98_5 & doDivides0(xp, all_98_4) = all_98_3 & % 52.01/7.63 | doDivides0(xp, xm) = all_98_0 & doDivides0(xp, xn) = all_98_1 & % 52.01/7.63 | iLess0(all_54_0, all_54_0) = all_98_2 & sdtasdt0(xn, xm) = all_98_4 & % 52.01/7.63 | aNaturalNumber0(xp) = all_98_6 & aNaturalNumber0(xm) = all_98_7 & % 52.01/7.63 | aNaturalNumber0(xn) = all_98_8 & $i(all_98_4) & ( ~ (all_98_2 = 0) | % 52.01/7.63 | ~ (all_98_3 = 0) | ~ (all_98_5 = 0) | ~ (all_98_6 = 0) | ~ % 52.01/7.63 | (all_98_7 = 0) | ~ (all_98_8 = 0) | all_98_0 = 0 | all_98_1 = 0) % 52.01/7.63 | % 52.01/7.63 | ALPHA: (187) implies: % 52.01/7.63 | (188) aNaturalNumber0(xn) = all_98_8 % 52.01/7.63 | (189) aNaturalNumber0(xm) = all_98_7 % 52.01/7.63 | (190) aNaturalNumber0(xp) = all_98_6 % 52.01/7.63 | (191) sdtasdt0(xn, xm) = all_98_4 % 52.01/7.63 | (192) doDivides0(xp, all_98_4) = all_98_3 % 52.01/7.63 | % 52.01/7.63 | BETA: splitting (106) gives: % 52.01/7.63 | % 52.01/7.63 | Case 1: % 52.01/7.63 | | % 52.01/7.63 | | (193) all_50_0 = xn % 52.01/7.63 | | % 52.01/7.63 | | REDUCE: (49), (193) imply: % 52.01/7.63 | | (194) $false % 52.01/7.64 | | % 52.01/7.64 | | CLOSE: (194) is inconsistent. % 52.01/7.64 | | % 52.01/7.64 | Case 2: % 52.01/7.64 | | % 52.01/7.64 | | (195) ? [v0: any] : ? [v1: any] : ? [v2: any] : (sdtlseqdt0(xn, % 52.01/7.64 | | all_50_0) = v2 & aNaturalNumber0(all_50_0) = v0 & % 52.01/7.64 | | aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = % 52.01/7.64 | | 0))) % 52.01/7.64 | | % 52.01/7.64 | | DELTA: instantiating (195) with fresh symbols all_108_0, all_108_1, % 52.01/7.64 | | all_108_2 gives: % 52.01/7.64 | | (196) sdtlseqdt0(xn, all_50_0) = all_108_0 & aNaturalNumber0(all_50_0) = % 52.01/7.64 | | all_108_2 & aNaturalNumber0(xn) = all_108_1 & ( ~ (all_108_0 = 0) | % 52.01/7.64 | | ~ (all_108_1 = 0) | ~ (all_108_2 = 0)) % 52.01/7.64 | | % 52.01/7.64 | | ALPHA: (196) implies: % 52.01/7.64 | | (197) aNaturalNumber0(xn) = all_108_1 % 52.01/7.64 | | (198) aNaturalNumber0(all_50_0) = all_108_2 % 52.01/7.64 | | % 52.01/7.64 | | BETA: splitting (103) gives: % 52.01/7.64 | | % 52.01/7.64 | | Case 1: % 52.01/7.64 | | | % 52.01/7.64 | | | (199) xk = xp % 52.01/7.64 | | | % 52.01/7.64 | | | REDUCE: (19), (199) imply: % 52.01/7.64 | | | (200) $false % 52.01/7.64 | | | % 52.01/7.64 | | | CLOSE: (200) is inconsistent. % 52.01/7.64 | | | % 52.01/7.64 | | Case 2: % 52.01/7.64 | | | % 52.01/7.64 | | | (201) ? [v0: any] : ? [v1: any] : ? [v2: any] : (sdtlseqdt0(xp, xk) % 52.01/7.64 | | | = v2 & aNaturalNumber0(xk) = v0 & aNaturalNumber0(xp) = v1 & ( % 52.01/7.64 | | | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 52.01/7.64 | | | % 52.01/7.64 | | | DELTA: instantiating (201) with fresh symbols all_113_0, all_113_1, % 52.01/7.64 | | | all_113_2 gives: % 52.01/7.64 | | | (202) sdtlseqdt0(xp, xk) = all_113_0 & aNaturalNumber0(xk) = all_113_2 % 52.01/7.64 | | | & aNaturalNumber0(xp) = all_113_1 & ( ~ (all_113_0 = 0) | ~ % 52.01/7.64 | | | (all_113_1 = 0) | ~ (all_113_2 = 0)) % 52.01/7.64 | | | % 52.01/7.64 | | | ALPHA: (202) implies: % 52.01/7.64 | | | (203) aNaturalNumber0(xp) = all_113_1 % 52.01/7.64 | | | (204) aNaturalNumber0(xk) = all_113_2 % 52.01/7.64 | | | % 52.01/7.64 | | | GROUND_INST: instantiating (30) with 0, all_78_2, xn, simplifying with % 52.01/7.64 | | | (6), (138) gives: % 52.01/7.64 | | | (205) all_78_2 = 0 % 52.01/7.64 | | | % 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_78_2, all_82_2, xn, simplifying % 52.01/7.64 | | | with (138), (148) gives: % 52.01/7.64 | | | (206) all_82_2 = all_78_2 % 52.01/7.64 | | | % 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_76_2, all_96_4, xn, simplifying % 52.01/7.64 | | | with (133), (183) gives: % 52.01/7.64 | | | (207) all_96_4 = all_76_2 % 52.01/7.64 | | | % 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_96_4, all_98_8, xn, simplifying % 52.01/7.64 | | | with (183), (188) gives: % 52.01/7.64 | | | (208) all_98_8 = all_96_4 % 52.01/7.64 | | | % 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_82_2, all_98_8, xn, simplifying % 52.01/7.64 | | | with (148), (188) gives: % 52.01/7.64 | | | (209) all_98_8 = all_82_2 % 52.01/7.64 | | | % 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_98_8, all_108_1, xn, simplifying % 52.01/7.64 | | | with (188), (197) gives: % 52.01/7.64 | | | (210) all_108_1 = all_98_8 % 52.01/7.64 | | | % 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_88_2, all_108_1, xn, simplifying % 52.01/7.64 | | | with (162), (197) gives: % 52.01/7.64 | | | (211) all_108_1 = all_88_2 % 52.01/7.64 | | | % 52.01/7.64 | | | GROUND_INST: instantiating (30) with 0, all_78_1, xm, simplifying with % 52.01/7.64 | | | (7), (139) gives: % 52.01/7.64 | | | (212) all_78_1 = 0 % 52.01/7.64 | | | % 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_78_1, all_90_1, xm, simplifying % 52.01/7.64 | | | with (139), (167) gives: % 52.01/7.64 | | | (213) all_90_1 = all_78_1 % 52.01/7.64 | | | % 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_90_1, all_94_3, xm, simplifying % 52.01/7.64 | | | with (167), (177) gives: % 52.01/7.64 | | | (214) all_94_3 = all_90_1 % 52.01/7.64 | | | % 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_82_1, all_94_3, xm, simplifying % 52.01/7.64 | | | with (149), (177) gives: % 52.01/7.64 | | | (215) all_94_3 = all_82_1 % 52.01/7.64 | | | % 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_90_1, all_96_3, xm, simplifying % 52.01/7.64 | | | with (167), (184) gives: % 52.01/7.64 | | | (216) all_96_3 = all_90_1 % 52.01/7.64 | | | % 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_88_1, all_96_3, xm, simplifying % 52.01/7.64 | | | with (163), (184) gives: % 52.01/7.64 | | | (217) all_96_3 = all_88_1 % 52.01/7.64 | | | % 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_76_1, all_96_3, xm, simplifying % 52.01/7.64 | | | with (134), (184) gives: % 52.01/7.64 | | | (218) all_96_3 = all_76_1 % 52.01/7.64 | | | % 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_90_1, all_98_7, xm, simplifying % 52.01/7.64 | | | with (167), (189) gives: % 52.01/7.64 | | | (219) all_98_7 = all_90_1 % 52.01/7.64 | | | % 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_72_1, all_98_7, xm, simplifying % 52.01/7.64 | | | with (126), (189) gives: % 52.01/7.64 | | | (220) all_98_7 = all_72_1 % 52.01/7.64 | | | % 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_68_1, all_74_2, xp, simplifying % 52.01/7.64 | | | with (120), (129) gives: % 52.01/7.64 | | | (221) all_74_2 = all_68_1 % 52.01/7.64 | | | % 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_74_2, all_92_2, xp, simplifying % 52.01/7.64 | | | with (129), (171) gives: % 52.01/7.64 | | | (222) all_92_2 = all_74_2 % 52.01/7.64 | | | % 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_92_2, all_96_2, xp, simplifying % 52.01/7.64 | | | with (171), (185) gives: % 52.01/7.64 | | | (223) all_96_2 = all_92_2 % 52.01/7.64 | | | % 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_86_1, all_96_2, xp, simplifying % 52.01/7.64 | | | with (156), (185) gives: % 52.01/7.64 | | | (224) all_96_2 = all_86_1 % 52.01/7.64 | | | % 52.01/7.64 | | | GROUND_INST: instantiating (30) with 0, all_113_1, xp, simplifying with % 52.01/7.64 | | | (8), (203) gives: % 52.01/7.64 | | | (225) all_113_1 = 0 % 52.01/7.64 | | | % 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_98_6, all_113_1, xp, simplifying % 52.01/7.64 | | | with (190), (203) gives: % 52.01/7.64 | | | (226) all_113_1 = all_98_6 % 52.01/7.64 | | | % 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_92_2, all_113_1, xp, simplifying % 52.01/7.64 | | | with (171), (203) gives: % 52.01/7.64 | | | (227) all_113_1 = all_92_2 % 52.01/7.64 | | | % 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_92_1, all_113_2, xk, simplifying % 52.01/7.64 | | | with (172), (204) gives: % 52.01/7.64 | | | (228) all_113_2 = all_92_1 % 52.01/7.64 | | | % 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_74_1, all_113_2, xk, simplifying % 52.01/7.64 | | | with (130), (204) gives: % 52.01/7.64 | | | (229) all_113_2 = all_74_1 % 52.01/7.64 | | | % 52.01/7.64 | | | GROUND_INST: instantiating (30) with 0, all_84_1, xr, simplifying with % 52.01/7.64 | | | (15), (153) gives: % 52.01/7.64 | | | (230) all_84_1 = 0 % 52.01/7.64 | | | % 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_80_1, all_84_1, xr, simplifying % 52.01/7.64 | | | with (143), (153) gives: % 52.01/7.64 | | | (231) all_84_1 = all_80_1 % 52.01/7.64 | | | % 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_80_1, all_94_2, xr, simplifying % 52.01/7.64 | | | with (143), (178) gives: % 52.01/7.64 | | | (232) all_94_2 = all_80_1 % 52.01/7.64 | | | % 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_70_1, all_94_2, xr, simplifying % 52.01/7.64 | | | with (124), (178) gives: % 52.01/7.64 | | | (233) all_94_2 = all_70_1 % 52.01/7.64 | | | % 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_66_1, all_94_2, xr, simplifying % 52.01/7.64 | | | with (117), (178) gives: % 52.01/7.64 | | | (234) all_94_2 = all_66_1 % 52.01/7.64 | | | % 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_72_2, all_94_4, all_50_0, % 52.01/7.64 | | | simplifying with (127), (179) gives: % 52.01/7.64 | | | (235) all_94_4 = all_72_2 % 52.01/7.64 | | | % 52.01/7.64 | | | GROUND_INST: instantiating (30) with all_94_4, all_108_2, all_50_0, % 52.01/7.64 | | | simplifying with (179), (198) gives: % 52.01/7.64 | | | (236) all_108_2 = all_94_4 % 52.01/7.64 | | | % 52.01/7.65 | | | GROUND_INST: instantiating (30) with all_90_2, all_108_2, all_50_0, % 52.01/7.65 | | | simplifying with (168), (198) gives: % 52.01/7.65 | | | (237) all_108_2 = all_90_2 % 52.01/7.65 | | | % 52.01/7.65 | | | GROUND_INST: instantiating (30) with all_66_2, all_80_2, all_52_1, % 52.01/7.65 | | | simplifying with (118), (144) gives: % 52.01/7.65 | | | (238) all_80_2 = all_66_2 % 52.01/7.65 | | | % 52.01/7.65 | | | GROUND_INST: instantiating (30) with all_78_0, all_86_2, all_54_1, % 52.01/7.65 | | | simplifying with (140), (157) gives: % 52.01/7.65 | | | (239) all_86_2 = all_78_0 % 52.01/7.65 | | | % 52.01/7.65 | | | GROUND_INST: instantiating (30) with all_68_2, all_86_2, all_54_1, % 52.01/7.65 | | | simplifying with (121), (157) gives: % 52.01/7.65 | | | (240) all_86_2 = all_68_2 % 52.01/7.65 | | | % 52.01/7.65 | | | GROUND_INST: instantiating (31) with all_42_0, all_98_4, xm, xn, % 52.01/7.65 | | | simplifying with (35), (191) gives: % 52.01/7.65 | | | (241) all_98_4 = all_42_0 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (225), (226) imply: % 52.01/7.65 | | | (242) all_98_6 = 0 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (226), (227) imply: % 52.01/7.65 | | | (243) all_98_6 = all_92_2 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (228), (229) imply: % 52.01/7.65 | | | (244) all_92_1 = all_74_1 % 52.01/7.65 | | | % 52.01/7.65 | | | SIMP: (244) implies: % 52.01/7.65 | | | (245) all_92_1 = all_74_1 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (210), (211) imply: % 52.01/7.65 | | | (246) all_98_8 = all_88_2 % 52.01/7.65 | | | % 52.01/7.65 | | | SIMP: (246) implies: % 52.01/7.65 | | | (247) all_98_8 = all_88_2 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (236), (237) imply: % 52.01/7.65 | | | (248) all_94_4 = all_90_2 % 52.01/7.65 | | | % 52.01/7.65 | | | SIMP: (248) implies: % 52.01/7.65 | | | (249) all_94_4 = all_90_2 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (242), (243) imply: % 52.01/7.65 | | | (250) all_92_2 = 0 % 52.01/7.65 | | | % 52.01/7.65 | | | SIMP: (250) implies: % 52.01/7.65 | | | (251) all_92_2 = 0 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (219), (220) imply: % 52.01/7.65 | | | (252) all_90_1 = all_72_1 % 52.01/7.65 | | | % 52.01/7.65 | | | SIMP: (252) implies: % 52.01/7.65 | | | (253) all_90_1 = all_72_1 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (209), (247) imply: % 52.01/7.65 | | | (254) all_88_2 = all_82_2 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (208), (247) imply: % 52.01/7.65 | | | (255) all_96_4 = all_88_2 % 52.01/7.65 | | | % 52.01/7.65 | | | SIMP: (255) implies: % 52.01/7.65 | | | (256) all_96_4 = all_88_2 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (223), (224) imply: % 52.01/7.65 | | | (257) all_92_2 = all_86_1 % 52.01/7.65 | | | % 52.01/7.65 | | | SIMP: (257) implies: % 52.01/7.65 | | | (258) all_92_2 = all_86_1 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (216), (217) imply: % 52.01/7.65 | | | (259) all_90_1 = all_88_1 % 52.01/7.65 | | | % 52.01/7.65 | | | SIMP: (259) implies: % 52.01/7.65 | | | (260) all_90_1 = all_88_1 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (217), (218) imply: % 52.01/7.65 | | | (261) all_88_1 = all_76_1 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (207), (256) imply: % 52.01/7.65 | | | (262) all_88_2 = all_76_2 % 52.01/7.65 | | | % 52.01/7.65 | | | SIMP: (262) implies: % 52.01/7.65 | | | (263) all_88_2 = all_76_2 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (233), (234) imply: % 52.01/7.65 | | | (264) all_70_1 = all_66_1 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (232), (233) imply: % 52.01/7.65 | | | (265) all_80_1 = all_70_1 % 52.01/7.65 | | | % 52.01/7.65 | | | SIMP: (265) implies: % 52.01/7.65 | | | (266) all_80_1 = all_70_1 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (214), (215) imply: % 52.01/7.65 | | | (267) all_90_1 = all_82_1 % 52.01/7.65 | | | % 52.01/7.65 | | | SIMP: (267) implies: % 52.01/7.65 | | | (268) all_90_1 = all_82_1 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (235), (249) imply: % 52.01/7.65 | | | (269) all_90_2 = all_72_2 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (222), (258) imply: % 52.01/7.65 | | | (270) all_86_1 = all_74_2 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (251), (258) imply: % 52.01/7.65 | | | (271) all_86_1 = 0 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (213), (268) imply: % 52.01/7.65 | | | (272) all_82_1 = all_78_1 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (253), (268) imply: % 52.01/7.65 | | | (273) all_82_1 = all_72_1 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (260), (268) imply: % 52.01/7.65 | | | (274) all_88_1 = all_82_1 % 52.01/7.65 | | | % 52.01/7.65 | | | SIMP: (274) implies: % 52.01/7.65 | | | (275) all_88_1 = all_82_1 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (261), (275) imply: % 52.01/7.65 | | | (276) all_82_1 = all_76_1 % 52.01/7.65 | | | % 52.01/7.65 | | | SIMP: (276) implies: % 52.01/7.65 | | | (277) all_82_1 = all_76_1 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (254), (263) imply: % 52.01/7.65 | | | (278) all_82_2 = all_76_2 % 52.01/7.65 | | | % 52.01/7.65 | | | SIMP: (278) implies: % 52.01/7.65 | | | (279) all_82_2 = all_76_2 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (270), (271) imply: % 52.01/7.65 | | | (280) all_74_2 = 0 % 52.01/7.65 | | | % 52.01/7.65 | | | SIMP: (280) implies: % 52.01/7.65 | | | (281) all_74_2 = 0 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (239), (240) imply: % 52.01/7.65 | | | (282) all_78_0 = all_68_2 % 52.01/7.65 | | | % 52.01/7.65 | | | SIMP: (282) implies: % 52.01/7.65 | | | (283) all_78_0 = all_68_2 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (230), (231) imply: % 52.01/7.65 | | | (284) all_80_1 = 0 % 52.01/7.65 | | | % 52.01/7.65 | | | SIMP: (284) implies: % 52.01/7.65 | | | (285) all_80_1 = 0 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (272), (277) imply: % 52.01/7.65 | | | (286) all_78_1 = all_76_1 % 52.01/7.65 | | | % 52.01/7.65 | | | SIMP: (286) implies: % 52.01/7.65 | | | (287) all_78_1 = all_76_1 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (273), (277) imply: % 52.01/7.65 | | | (288) all_76_1 = all_72_1 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (206), (279) imply: % 52.01/7.65 | | | (289) all_78_2 = all_76_2 % 52.01/7.65 | | | % 52.01/7.65 | | | SIMP: (289) implies: % 52.01/7.65 | | | (290) all_78_2 = all_76_2 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (266), (285) imply: % 52.01/7.65 | | | (291) all_70_1 = 0 % 52.01/7.65 | | | % 52.01/7.65 | | | SIMP: (291) implies: % 52.01/7.65 | | | (292) all_70_1 = 0 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (212), (287) imply: % 52.01/7.65 | | | (293) all_76_1 = 0 % 52.01/7.65 | | | % 52.01/7.65 | | | SIMP: (293) implies: % 52.01/7.65 | | | (294) all_76_1 = 0 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (205), (290) imply: % 52.01/7.65 | | | (295) all_76_2 = 0 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (288), (294) imply: % 52.01/7.65 | | | (296) all_72_1 = 0 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (221), (281) imply: % 52.01/7.65 | | | (297) all_68_1 = 0 % 52.01/7.65 | | | % 52.01/7.65 | | | SIMP: (297) implies: % 52.01/7.65 | | | (298) all_68_1 = 0 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (264), (292) imply: % 52.01/7.65 | | | (299) all_66_1 = 0 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (279), (295) imply: % 52.01/7.65 | | | (300) all_82_2 = 0 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (277), (294) imply: % 52.01/7.65 | | | (301) all_82_1 = 0 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (263), (295) imply: % 52.01/7.65 | | | (302) all_88_2 = 0 % 52.01/7.65 | | | % 52.01/7.65 | | | COMBINE_EQS: (261), (294) imply: % 52.01/7.65 | | | (303) all_88_1 = 0 % 52.01/7.65 | | | % 52.01/7.65 | | | REDUCE: (192), (241) imply: % 52.01/7.65 | | | (304) doDivides0(xp, all_42_0) = all_98_3 % 52.01/7.65 | | | % 52.01/7.65 | | | BETA: splitting (115) gives: % 52.01/7.65 | | | % 52.01/7.65 | | | Case 1: % 52.01/7.65 | | | | % 52.01/7.65 | | | | (305) ? [v0: int] : ( ~ (v0 = 0) & aNaturalNumber0(xr) = v0) % 52.01/7.65 | | | | % 52.01/7.65 | | | | DELTA: instantiating (305) with fresh symbol all_122_0 gives: % 52.01/7.65 | | | | (306) ~ (all_122_0 = 0) & aNaturalNumber0(xr) = all_122_0 % 52.01/7.65 | | | | % 52.01/7.65 | | | | ALPHA: (306) implies: % 52.01/7.65 | | | | (307) ~ (all_122_0 = 0) % 52.01/7.65 | | | | (308) aNaturalNumber0(xr) = all_122_0 % 52.01/7.65 | | | | % 52.01/7.65 | | | | GROUND_INST: instantiating (30) with 0, all_122_0, xr, simplifying with % 52.01/7.65 | | | | (15), (308) gives: % 52.01/7.65 | | | | (309) all_122_0 = 0 % 52.01/7.65 | | | | % 52.01/7.65 | | | | REDUCE: (307), (309) imply: % 52.01/7.65 | | | | (310) $false % 52.01/7.65 | | | | % 52.01/7.65 | | | | CLOSE: (310) is inconsistent. % 52.01/7.65 | | | | % 52.01/7.65 | | | Case 2: % 52.01/7.65 | | | | % 52.01/7.65 | | | | (311) ~ (xr = sz10) & ~ (xr = sz00) & ! [v0: $i] : (v0 = xr | v0 = % 52.01/7.65 | | | | sz10 | ~ (doDivides0(v0, xr) = 0) | ~ $i(v0) | ? [v1: int] % 52.01/7.65 | | | | : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1)) % 52.01/7.65 | | | | % 52.01/7.65 | | | | ALPHA: (311) implies: % 52.01/7.65 | | | | (312) ~ (xr = sz00) % 52.01/7.65 | | | | (313) ~ (xr = sz10) % 52.01/7.66 | | | | (314) ! [v0: $i] : (v0 = xr | v0 = sz10 | ~ (doDivides0(v0, xr) = % 52.01/7.66 | | | | 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & % 52.01/7.66 | | | | aNaturalNumber0(v0) = v1)) % 52.01/7.66 | | | | % 52.01/7.66 | | | | BETA: splitting (114) gives: % 52.01/7.66 | | | | % 52.01/7.66 | | | | Case 1: % 52.01/7.66 | | | | | % 52.01/7.66 | | | | | (315) ? [v0: int] : ( ~ (v0 = 0) & aNaturalNumber0(xp) = v0) % 52.01/7.66 | | | | | % 52.01/7.66 | | | | | DELTA: instantiating (315) with fresh symbol all_127_0 gives: % 52.01/7.66 | | | | | (316) ~ (all_127_0 = 0) & aNaturalNumber0(xp) = all_127_0 % 52.01/7.66 | | | | | % 52.01/7.66 | | | | | ALPHA: (316) implies: % 52.01/7.66 | | | | | (317) ~ (all_127_0 = 0) % 52.01/7.66 | | | | | (318) aNaturalNumber0(xp) = all_127_0 % 52.01/7.66 | | | | | % 52.01/7.66 | | | | | GROUND_INST: instantiating (30) with 0, all_127_0, xp, simplifying % 52.01/7.66 | | | | | with (8), (318) gives: % 52.01/7.66 | | | | | (319) all_127_0 = 0 % 52.01/7.66 | | | | | % 52.01/7.66 | | | | | REDUCE: (317), (319) imply: % 52.01/7.66 | | | | | (320) $false % 52.01/7.66 | | | | | % 52.01/7.66 | | | | | CLOSE: (320) is inconsistent. % 52.01/7.66 | | | | | % 52.01/7.66 | | | | Case 2: % 52.01/7.66 | | | | | % 52.01/7.66 | | | | | (321) ~ (xp = sz10) & ~ (xp = sz00) & ! [v0: $i] : (v0 = xp | v0 % 52.01/7.66 | | | | | = sz10 | ~ (doDivides0(v0, xp) = 0) | ~ $i(v0) | ? [v1: % 52.01/7.66 | | | | | int] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1)) % 52.01/7.66 | | | | | % 52.01/7.66 | | | | | ALPHA: (321) implies: % 52.01/7.66 | | | | | (322) ~ (xp = sz00) % 52.01/7.66 | | | | | (323) ~ (xp = sz10) % 52.01/7.66 | | | | | % 52.01/7.66 | | | | | BETA: splitting (165) gives: % 52.01/7.66 | | | | | % 52.01/7.66 | | | | | Case 1: % 52.01/7.66 | | | | | | % 52.01/7.66 | | | | | | (324) ~ (all_88_1 = 0) % 52.01/7.66 | | | | | | % 52.01/7.66 | | | | | | REDUCE: (303), (324) imply: % 52.01/7.66 | | | | | | (325) $false % 52.01/7.66 | | | | | | % 52.01/7.66 | | | | | | CLOSE: (325) is inconsistent. % 52.01/7.66 | | | | | | % 52.01/7.66 | | | | | Case 2: % 52.01/7.66 | | | | | | % 52.01/7.66 | | | | | | (326) ~ (all_88_2 = 0) | all_88_0 = all_54_1 % 52.01/7.66 | | | | | | % 52.01/7.66 | | | | | | BETA: splitting (136) gives: % 52.01/7.66 | | | | | | % 52.01/7.66 | | | | | | Case 1: % 52.01/7.66 | | | | | | | % 52.01/7.66 | | | | | | | (327) ~ (all_76_1 = 0) % 52.01/7.66 | | | | | | | % 52.01/7.66 | | | | | | | REDUCE: (294), (327) imply: % 52.01/7.66 | | | | | | | (328) $false % 52.01/7.66 | | | | | | | % 52.01/7.66 | | | | | | | CLOSE: (328) is inconsistent. % 52.01/7.66 | | | | | | | % 52.01/7.66 | | | | | | Case 2: % 52.01/7.66 | | | | | | | % 52.01/7.66 | | | | | | | (329) ~ (all_76_2 = 0) | all_76_0 = 0 % 52.01/7.66 | | | | | | | % 52.01/7.66 | | | | | | | BETA: splitting (107) gives: % 52.01/7.66 | | | | | | | % 52.01/7.66 | | | | | | | Case 1: % 52.01/7.66 | | | | | | | | % 52.01/7.66 | | | | | | | | (330) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xr) = v0 % 52.01/7.66 | | | | | | | | & aNaturalNumber0(xn) = v1 & ( ~ (v1 = 0) | ~ (v0 = % 52.01/7.66 | | | | | | | | 0))) % 52.01/7.66 | | | | | | | | % 52.01/7.66 | | | | | | | | DELTA: instantiating (330) with fresh symbols all_152_0, % 52.01/7.66 | | | | | | | | all_152_1 gives: % 52.01/7.66 | | | | | | | | (331) aNaturalNumber0(xr) = all_152_1 & aNaturalNumber0(xn) = % 52.01/7.66 | | | | | | | | all_152_0 & ( ~ (all_152_0 = 0) | ~ (all_152_1 = 0)) % 52.01/7.66 | | | | | | | | % 52.01/7.66 | | | | | | | | ALPHA: (331) implies: % 52.01/7.66 | | | | | | | | (332) aNaturalNumber0(xn) = all_152_0 % 52.01/7.66 | | | | | | | | (333) aNaturalNumber0(xr) = all_152_1 % 52.01/7.66 | | | | | | | | (334) ~ (all_152_0 = 0) | ~ (all_152_1 = 0) % 52.01/7.66 | | | | | | | | % 52.01/7.66 | | | | | | | | BETA: splitting (141) gives: % 52.01/7.66 | | | | | | | | % 52.01/7.66 | | | | | | | | Case 1: % 52.01/7.66 | | | | | | | | | % 52.01/7.66 | | | | | | | | | (335) ~ (all_78_1 = 0) % 52.01/7.66 | | | | | | | | | % 52.01/7.66 | | | | | | | | | REDUCE: (212), (335) imply: % 52.01/7.66 | | | | | | | | | (336) $false % 52.01/7.66 | | | | | | | | | % 52.01/7.66 | | | | | | | | | CLOSE: (336) is inconsistent. % 52.01/7.66 | | | | | | | | | % 52.01/7.66 | | | | | | | | Case 2: % 52.01/7.66 | | | | | | | | | % 52.01/7.66 | | | | | | | | | (337) ~ (all_78_2 = 0) | all_78_0 = 0 % 52.01/7.66 | | | | | | | | | % 52.01/7.66 | | | | | | | | | BETA: splitting (337) gives: % 52.01/7.66 | | | | | | | | | % 52.01/7.66 | | | | | | | | | Case 1: % 52.01/7.66 | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | (338) ~ (all_78_2 = 0) % 52.01/7.66 | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | REDUCE: (205), (338) imply: % 52.01/7.66 | | | | | | | | | | (339) $false % 52.01/7.66 | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | CLOSE: (339) is inconsistent. % 52.01/7.66 | | | | | | | | | | % 52.01/7.66 | | | | | | | | | Case 2: % 52.01/7.66 | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | (340) all_78_0 = 0 % 52.01/7.66 | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | COMBINE_EQS: (283), (340) imply: % 52.01/7.66 | | | | | | | | | | (341) all_68_2 = 0 % 52.01/7.66 | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | SIMP: (341) implies: % 52.01/7.66 | | | | | | | | | | (342) all_68_2 = 0 % 52.01/7.66 | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | COMBINE_EQS: (240), (342) imply: % 52.01/7.66 | | | | | | | | | | (343) all_86_2 = 0 % 52.01/7.66 | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | BETA: splitting (159) gives: % 52.01/7.66 | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | Case 1: % 52.01/7.66 | | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | | (344) ~ (all_86_1 = 0) % 52.01/7.66 | | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | | REDUCE: (271), (344) imply: % 52.01/7.66 | | | | | | | | | | | (345) $false % 52.01/7.66 | | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | | CLOSE: (345) is inconsistent. % 52.01/7.66 | | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | Case 2: % 52.01/7.66 | | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | | (346) ~ (all_86_2 = 0) | all_86_0 = all_54_0 % 52.01/7.66 | | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | | BETA: splitting (346) gives: % 52.01/7.66 | | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | | Case 1: % 52.01/7.66 | | | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | | | (347) ~ (all_86_2 = 0) % 52.01/7.66 | | | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | | | REDUCE: (343), (347) imply: % 52.01/7.66 | | | | | | | | | | | | (348) $false % 52.01/7.66 | | | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | | | CLOSE: (348) is inconsistent. % 52.01/7.66 | | | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | | Case 2: % 52.01/7.66 | | | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_152_0, xn, % 52.01/7.66 | | | | | | | | | | | | simplifying with (6), (332) gives: % 52.01/7.66 | | | | | | | | | | | | (349) all_152_0 = 0 % 52.01/7.66 | | | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_152_1, xr, % 52.01/7.66 | | | | | | | | | | | | simplifying with (15), (333) gives: % 52.01/7.66 | | | | | | | | | | | | (350) all_152_1 = 0 % 52.01/7.66 | | | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | | | BETA: splitting (334) gives: % 52.01/7.66 | | | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | | | Case 1: % 52.01/7.66 | | | | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | | | | (351) ~ (all_152_0 = 0) % 52.01/7.66 | | | | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | | | | REDUCE: (349), (351) imply: % 52.01/7.66 | | | | | | | | | | | | | (352) $false % 52.01/7.66 | | | | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | | | | CLOSE: (352) is inconsistent. % 52.01/7.66 | | | | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | | | Case 2: % 52.01/7.66 | | | | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | | | | (353) ~ (all_152_1 = 0) % 52.01/7.66 | | | | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | | | | REDUCE: (350), (353) imply: % 52.01/7.66 | | | | | | | | | | | | | (354) $false % 52.01/7.66 | | | | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | | | | CLOSE: (354) is inconsistent. % 52.01/7.66 | | | | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | | | End of split % 52.01/7.66 | | | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | | End of split % 52.01/7.66 | | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | End of split % 52.01/7.66 | | | | | | | | | | % 52.01/7.66 | | | | | | | | | End of split % 52.01/7.66 | | | | | | | | | % 52.01/7.66 | | | | | | | | End of split % 52.01/7.66 | | | | | | | | % 52.01/7.66 | | | | | | | Case 2: % 52.01/7.66 | | | | | | | | % 52.01/7.66 | | | | | | | | (355) ? [v0: $i] : (sdtasdt0(xr, v0) = xn & % 52.01/7.66 | | | | | | | | aNaturalNumber0(v0) = 0 & $i(v0)) % 52.01/7.66 | | | | | | | | % 52.01/7.66 | | | | | | | | DELTA: instantiating (355) with fresh symbol all_152_0 gives: % 52.01/7.66 | | | | | | | | (356) sdtasdt0(xr, all_152_0) = xn & % 52.01/7.66 | | | | | | | | aNaturalNumber0(all_152_0) = 0 & $i(all_152_0) % 52.01/7.66 | | | | | | | | % 52.01/7.66 | | | | | | | | ALPHA: (356) implies: % 52.01/7.66 | | | | | | | | (357) $i(all_152_0) % 52.01/7.66 | | | | | | | | (358) aNaturalNumber0(all_152_0) = 0 % 52.01/7.66 | | | | | | | | (359) sdtasdt0(xr, all_152_0) = xn % 52.01/7.66 | | | | | | | | % 52.01/7.66 | | | | | | | | BETA: splitting (102) gives: % 52.01/7.66 | | | | | | | | % 52.01/7.66 | | | | | | | | Case 1: % 52.01/7.66 | | | | | | | | | % 52.01/7.66 | | | | | | | | | (360) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xp) = % 52.01/7.66 | | | | | | | | | v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ % 52.01/7.66 | | | | | | | | | (v0 = 0))) % 52.01/7.66 | | | | | | | | | % 52.01/7.66 | | | | | | | | | DELTA: instantiating (360) with fresh symbols all_160_0, % 52.01/7.66 | | | | | | | | | all_160_1 gives: % 52.01/7.66 | | | | | | | | | (361) aNaturalNumber0(xp) = all_160_0 & aNaturalNumber0(xm) % 52.01/7.66 | | | | | | | | | = all_160_1 & ( ~ (all_160_0 = 0) | ~ (all_160_1 = % 52.01/7.66 | | | | | | | | | 0)) % 52.01/7.66 | | | | | | | | | % 52.01/7.66 | | | | | | | | | ALPHA: (361) implies: % 52.01/7.66 | | | | | | | | | (362) aNaturalNumber0(xm) = all_160_1 % 52.01/7.66 | | | | | | | | | (363) aNaturalNumber0(xp) = all_160_0 % 52.01/7.66 | | | | | | | | | (364) ~ (all_160_0 = 0) | ~ (all_160_1 = 0) % 52.01/7.66 | | | | | | | | | % 52.01/7.66 | | | | | | | | | BETA: splitting (141) gives: % 52.01/7.66 | | | | | | | | | % 52.01/7.66 | | | | | | | | | Case 1: % 52.01/7.66 | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | (365) ~ (all_78_1 = 0) % 52.01/7.66 | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | REDUCE: (212), (365) imply: % 52.01/7.66 | | | | | | | | | | (366) $false % 52.01/7.66 | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | CLOSE: (366) is inconsistent. % 52.01/7.66 | | | | | | | | | | % 52.01/7.66 | | | | | | | | | Case 2: % 52.01/7.66 | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | (367) ~ (all_78_2 = 0) | all_78_0 = 0 % 52.01/7.66 | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | BETA: splitting (367) gives: % 52.01/7.66 | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | Case 1: % 52.01/7.66 | | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | | (368) ~ (all_78_2 = 0) % 52.01/7.66 | | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | | REDUCE: (205), (368) imply: % 52.01/7.66 | | | | | | | | | | | (369) $false % 52.01/7.66 | | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | | CLOSE: (369) is inconsistent. % 52.01/7.66 | | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | Case 2: % 52.01/7.66 | | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | | (370) all_78_0 = 0 % 52.01/7.66 | | | | | | | | | | | % 52.01/7.66 | | | | | | | | | | | COMBINE_EQS: (283), (370) imply: % 52.01/7.67 | | | | | | | | | | | (371) all_68_2 = 0 % 52.01/7.67 | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | SIMP: (371) implies: % 52.01/7.67 | | | | | | | | | | | (372) all_68_2 = 0 % 52.01/7.67 | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | BETA: splitting (122) gives: % 52.01/7.67 | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | Case 1: % 52.01/7.67 | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | | (373) ~ (all_68_1 = 0) % 52.01/7.67 | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | | REDUCE: (298), (373) imply: % 52.01/7.67 | | | | | | | | | | | | (374) $false % 52.01/7.67 | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | | CLOSE: (374) is inconsistent. % 52.01/7.67 | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | Case 2: % 52.01/7.67 | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | | (375) ~ (all_68_2 = 0) | all_68_0 = 0 % 52.01/7.67 | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | | BETA: splitting (375) gives: % 52.01/7.67 | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | | Case 1: % 52.01/7.67 | | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | | | (376) ~ (all_68_2 = 0) % 52.01/7.67 | | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | | | REDUCE: (372), (376) imply: % 52.01/7.67 | | | | | | | | | | | | | (377) $false % 52.01/7.67 | | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | | | CLOSE: (377) is inconsistent. % 52.01/7.67 | | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | | Case 2: % 52.01/7.67 | | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_160_1, xm, % 52.01/7.67 | | | | | | | | | | | | | simplifying with (7), (362) gives: % 52.01/7.67 | | | | | | | | | | | | | (378) all_160_1 = 0 % 52.01/7.67 | | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_160_0, xp, % 52.01/7.67 | | | | | | | | | | | | | simplifying with (8), (363) gives: % 52.01/7.67 | | | | | | | | | | | | | (379) all_160_0 = 0 % 52.01/7.67 | | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | | | BETA: splitting (364) gives: % 52.01/7.67 | | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | | | Case 1: % 52.01/7.67 | | | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | | | | (380) ~ (all_160_0 = 0) % 52.01/7.67 | | | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | | | | REDUCE: (379), (380) imply: % 52.01/7.67 | | | | | | | | | | | | | | (381) $false % 52.01/7.67 | | | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | | | | CLOSE: (381) is inconsistent. % 52.01/7.67 | | | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | | | Case 2: % 52.01/7.67 | | | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | | | | (382) ~ (all_160_1 = 0) % 52.01/7.67 | | | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | | | | REDUCE: (378), (382) imply: % 52.01/7.67 | | | | | | | | | | | | | | (383) $false % 52.01/7.67 | | | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | | | | CLOSE: (383) is inconsistent. % 52.01/7.67 | | | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | | | End of split % 52.01/7.67 | | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | | End of split % 52.01/7.67 | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | End of split % 52.01/7.67 | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | End of split % 52.01/7.67 | | | | | | | | | | % 52.01/7.67 | | | | | | | | | End of split % 52.01/7.67 | | | | | | | | | % 52.01/7.67 | | | | | | | | Case 2: % 52.01/7.67 | | | | | | | | | % 52.01/7.67 | | | | | | | | | (384) ? [v0: $i] : (sdtpldt0(xm, v0) = xp & % 52.01/7.67 | | | | | | | | | aNaturalNumber0(v0) = 0 & $i(v0)) % 52.01/7.67 | | | | | | | | | % 52.01/7.67 | | | | | | | | | DELTA: instantiating (384) with fresh symbol all_160_0 gives: % 52.01/7.67 | | | | | | | | | (385) sdtpldt0(xm, all_160_0) = xp & % 52.01/7.67 | | | | | | | | | aNaturalNumber0(all_160_0) = 0 & $i(all_160_0) % 52.01/7.67 | | | | | | | | | % 52.01/7.67 | | | | | | | | | ALPHA: (385) implies: % 52.01/7.67 | | | | | | | | | (386) $i(all_160_0) % 52.01/7.67 | | | | | | | | | (387) sdtpldt0(xm, all_160_0) = xp % 52.01/7.67 | | | | | | | | | % 52.01/7.67 | | | | | | | | | BETA: splitting (84) gives: % 52.01/7.67 | | | | | | | | | % 52.01/7.67 | | | | | | | | | Case 1: % 52.01/7.67 | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | (388) xr = sz00 % 52.01/7.67 | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | REDUCE: (312), (388) imply: % 52.01/7.67 | | | | | | | | | | (389) $false % 52.01/7.67 | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | CLOSE: (389) is inconsistent. % 52.01/7.67 | | | | | | | | | | % 52.01/7.67 | | | | | | | | | Case 2: % 52.01/7.67 | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | (390) xr = sz10 | ? [v0: $i] : (isPrime0(v0) = 0 & % 52.01/7.67 | | | | | | | | | | doDivides0(v0, xr) = 0 & aNaturalNumber0(v0) = 0 % 52.01/7.67 | | | | | | | | | | & $i(v0)) % 52.01/7.67 | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | BETA: splitting (151) gives: % 52.01/7.67 | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | Case 1: % 52.01/7.67 | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | (391) ~ (all_82_1 = 0) % 52.01/7.67 | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | REDUCE: (301), (391) imply: % 52.01/7.67 | | | | | | | | | | | (392) $false % 52.01/7.67 | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | CLOSE: (392) is inconsistent. % 52.01/7.67 | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | Case 2: % 52.01/7.67 | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | (393) ~ (all_82_2 = 0) | all_82_0 = all_42_0 % 52.01/7.67 | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | BETA: splitting (111) gives: % 52.01/7.67 | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | Case 1: % 52.01/7.67 | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | | (394) xr = sz00 % 52.01/7.67 | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | | REDUCE: (312), (394) imply: % 52.01/7.67 | | | | | | | | | | | | (395) $false % 52.01/7.67 | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | | CLOSE: (395) is inconsistent. % 52.01/7.67 | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | Case 2: % 52.01/7.67 | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | | (396) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 52.01/7.67 | | | | | | | | | | | | (doDivides0(xr, xn) = v2 & aNaturalNumber0(xr) = % 52.01/7.67 | | | | | | | | | | | | v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | % 52.01/7.67 | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0))) | ( ! [v0: any] : % 52.01/7.67 | | | | | | | | | | | | (v0 = all_50_0 | ~ (sdtasdt0(xr, v0) = xn) | ~ % 52.01/7.67 | | | | | | | | | | | | $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & % 52.01/7.67 | | | | | | | | | | | | aNaturalNumber0(v0) = v1)) & ! [v0: $i] : ( % 52.01/7.67 | | | | | | | | | | | | ~ (sdtasdt0(xr, all_50_0) = v0) | ~ % 52.01/7.67 | | | | | | | | | | | | $i(all_50_0) | (v0 = xn & % 52.01/7.67 | | | | | | | | | | | | aNaturalNumber0(all_50_0) = 0))) % 52.01/7.67 | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | | BETA: splitting (110) gives: % 52.01/7.67 | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | | Case 1: % 52.01/7.67 | | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | | | (397) xr = sz00 % 52.01/7.67 | | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | | | REDUCE: (312), (397) imply: % 52.01/7.67 | | | | | | | | | | | | | (398) $false % 52.01/7.67 | | | | | | | | | | | | | % 52.01/7.67 | | | | | | | | | | | | | CLOSE: (398) is inconsistent. % 52.31/7.67 | | | | | | | | | | | | | % 52.31/7.67 | | | | | | | | | | | | Case 2: % 52.31/7.67 | | | | | | | | | | | | | % 52.31/7.67 | | | | | | | | | | | | | (399) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 52.31/7.67 | | | | | | | | | | | | | (doDivides0(xr, xn) = v2 & aNaturalNumber0(xr) = % 52.31/7.67 | | | | | | | | | | | | | v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | % 52.31/7.67 | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0))) | ! [v0: $i] : ! % 52.31/7.67 | | | | | | | | | | | | | [v1: $i] : ! [v2: $i] : ( ~ (sdtsldt0(v1, xr) = % 52.31/7.67 | | | | | | | | | | | | | v2) | ~ (sdtasdt0(v0, xn) = v1) | ~ $i(v0) | % 52.31/7.67 | | | | | | | | | | | | | ? [v3: any] : ? [v4: $i] : (sdtasdt0(v0, % 52.31/7.67 | | | | | | | | | | | | | all_50_0) = v4 & aNaturalNumber0(v0) = v3 & % 52.31/7.67 | | | | | | | | | | | | | $i(v4) & ( ~ (v3 = 0) | v4 = v2))) % 52.31/7.67 | | | | | | | | | | | | | % 52.31/7.67 | | | | | | | | | | | | | BETA: splitting (83) gives: % 52.31/7.67 | | | | | | | | | | | | | % 52.31/7.67 | | | | | | | | | | | | | Case 1: % 52.31/7.67 | | | | | | | | | | | | | | % 52.31/7.67 | | | | | | | | | | | | | | (400) xp = sz00 % 52.31/7.67 | | | | | | | | | | | | | | % 52.31/7.67 | | | | | | | | | | | | | | REDUCE: (322), (400) imply: % 52.31/7.67 | | | | | | | | | | | | | | (401) $false % 52.31/7.67 | | | | | | | | | | | | | | % 52.31/7.67 | | | | | | | | | | | | | | CLOSE: (401) is inconsistent. % 52.31/7.67 | | | | | | | | | | | | | | % 52.31/7.67 | | | | | | | | | | | | | Case 2: % 52.31/7.67 | | | | | | | | | | | | | | % 52.31/7.67 | | | | | | | | | | | | | | (402) xp = sz10 | ? [v0: $i] : (isPrime0(v0) = 0 & % 52.31/7.67 | | | | | | | | | | | | | | doDivides0(v0, xp) = 0 & aNaturalNumber0(v0) = 0 % 52.31/7.67 | | | | | | | | | | | | | | & $i(v0)) % 52.31/7.67 | | | | | | | | | | | | | | % 52.31/7.67 | | | | | | | | | | | | | | BETA: splitting (326) gives: % 52.31/7.67 | | | | | | | | | | | | | | % 52.31/7.67 | | | | | | | | | | | | | | Case 1: % 52.31/7.67 | | | | | | | | | | | | | | | % 52.31/7.67 | | | | | | | | | | | | | | | (403) ~ (all_88_2 = 0) % 52.31/7.67 | | | | | | | | | | | | | | | % 52.31/7.67 | | | | | | | | | | | | | | | REDUCE: (302), (403) imply: % 52.31/7.67 | | | | | | | | | | | | | | | (404) $false % 52.31/7.67 | | | | | | | | | | | | | | | % 52.31/7.67 | | | | | | | | | | | | | | | CLOSE: (404) is inconsistent. % 52.31/7.67 | | | | | | | | | | | | | | | % 52.31/7.67 | | | | | | | | | | | | | | Case 2: % 52.31/7.67 | | | | | | | | | | | | | | | % 52.31/7.67 | | | | | | | | | | | | | | | (405) all_88_0 = all_54_1 % 52.31/7.67 | | | | | | | | | | | | | | | % 52.31/7.67 | | | | | | | | | | | | | | | REDUCE: (164), (405) imply: % 52.31/7.67 | | | | | | | | | | | | | | | (406) sdtpldt0(xm, xn) = all_54_1 % 52.31/7.67 | | | | | | | | | | | | | | | % 52.31/7.67 | | | | | | | | | | | | | | | BETA: splitting (396) gives: % 52.31/7.67 | | | | | | | | | | | | | | | % 52.31/7.67 | | | | | | | | | | | | | | | Case 1: % 52.31/7.67 | | | | | | | | | | | | | | | | % 52.31/7.67 | | | | | | | | | | | | | | | | (407) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 52.31/7.67 | | | | | | | | | | | | | | | | (doDivides0(xr, xn) = v2 & aNaturalNumber0(xr) = % 52.31/7.67 | | | | | | | | | | | | | | | | v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | % 52.31/7.67 | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0))) % 52.31/7.67 | | | | | | | | | | | | | | | | % 52.31/7.67 | | | | | | | | | | | | | | | | DELTA: instantiating (407) with fresh symbols all_193_0, % 52.31/7.67 | | | | | | | | | | | | | | | | all_193_1, all_193_2 gives: % 52.31/7.67 | | | | | | | | | | | | | | | | (408) doDivides0(xr, xn) = all_193_0 & % 52.31/7.67 | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_193_2 & % 52.31/7.67 | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = all_193_1 & ( ~ (all_193_0 = % 52.31/7.67 | | | | | | | | | | | | | | | | 0) | ~ (all_193_1 = 0) | ~ (all_193_2 = 0)) % 52.31/7.67 | | | | | | | | | | | | | | | | % 52.31/7.67 | | | | | | | | | | | | | | | | ALPHA: (408) implies: % 52.31/7.67 | | | | | | | | | | | | | | | | (409) aNaturalNumber0(xn) = all_193_1 % 52.31/7.67 | | | | | | | | | | | | | | | | (410) aNaturalNumber0(xr) = all_193_2 % 52.31/7.67 | | | | | | | | | | | | | | | | (411) doDivides0(xr, xn) = all_193_0 % 52.31/7.67 | | | | | | | | | | | | | | | | (412) ~ (all_193_0 = 0) | ~ (all_193_1 = 0) | ~ % 52.31/7.67 | | | | | | | | | | | | | | | | (all_193_2 = 0) % 52.31/7.67 | | | | | | | | | | | | | | | | % 52.31/7.67 | | | | | | | | | | | | | | | | BETA: splitting (393) gives: % 52.31/7.67 | | | | | | | | | | | | | | | | % 52.31/7.67 | | | | | | | | | | | | | | | | Case 1: % 52.31/7.67 | | | | | | | | | | | | | | | | | % 52.31/7.67 | | | | | | | | | | | | | | | | | (413) ~ (all_82_2 = 0) % 52.31/7.67 | | | | | | | | | | | | | | | | | % 52.31/7.67 | | | | | | | | | | | | | | | | | REDUCE: (300), (413) imply: % 52.31/7.67 | | | | | | | | | | | | | | | | | (414) $false % 52.31/7.67 | | | | | | | | | | | | | | | | | % 52.31/7.67 | | | | | | | | | | | | | | | | | CLOSE: (414) is inconsistent. % 52.31/7.67 | | | | | | | | | | | | | | | | | % 52.31/7.67 | | | | | | | | | | | | | | | | Case 2: % 52.31/7.67 | | | | | | | | | | | | | | | | | % 52.31/7.67 | | | | | | | | | | | | | | | | | % 52.31/7.67 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_193_1, xn, % 52.31/7.67 | | | | | | | | | | | | | | | | | simplifying with (6), (409) gives: % 52.31/7.67 | | | | | | | | | | | | | | | | | (415) all_193_1 = 0 % 52.31/7.67 | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_193_2, xr, % 52.31/7.68 | | | | | | | | | | | | | | | | | simplifying with (15), (410) gives: % 52.31/7.68 | | | | | | | | | | | | | | | | | (416) all_193_2 = 0 % 52.31/7.68 | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with 0, all_193_0, xn, xr, % 52.31/7.68 | | | | | | | | | | | | | | | | | simplifying with (22), (411) gives: % 52.31/7.68 | | | | | | | | | | | | | | | | | (417) all_193_0 = 0 % 52.31/7.68 | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | BETA: splitting (412) gives: % 52.31/7.68 | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.68 | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | (418) ~ (all_193_0 = 0) % 52.31/7.68 | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | REDUCE: (417), (418) imply: % 52.31/7.68 | | | | | | | | | | | | | | | | | | (419) $false % 52.31/7.68 | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | CLOSE: (419) is inconsistent. % 52.31/7.68 | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.68 | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | (420) ~ (all_193_1 = 0) | ~ (all_193_2 = 0) % 52.31/7.68 | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | BETA: splitting (420) gives: % 52.31/7.68 | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.68 | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | (421) ~ (all_193_1 = 0) % 52.31/7.68 | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | REDUCE: (415), (421) imply: % 52.31/7.68 | | | | | | | | | | | | | | | | | | | (422) $false % 52.31/7.68 | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | CLOSE: (422) is inconsistent. % 52.31/7.68 | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.68 | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | (423) ~ (all_193_2 = 0) % 52.31/7.68 | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | REDUCE: (416), (423) imply: % 52.31/7.68 | | | | | | | | | | | | | | | | | | | (424) $false % 52.31/7.68 | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | CLOSE: (424) is inconsistent. % 52.31/7.68 | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | End of split % 52.31/7.68 | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | End of split % 52.31/7.68 | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | End of split % 52.31/7.68 | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | Case 2: % 52.31/7.68 | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | (425) ! [v0: any] : (v0 = all_50_0 | ~ (sdtasdt0(xr, % 52.31/7.68 | | | | | | | | | | | | | | | | v0) = xn) | ~ $i(v0) | ? [v1: int] : ( ~ % 52.31/7.68 | | | | | | | | | | | | | | | | (v1 = 0) & aNaturalNumber0(v0) = v1)) & ! % 52.31/7.68 | | | | | | | | | | | | | | | | [v0: $i] : ( ~ (sdtasdt0(xr, all_50_0) = v0) | ~ % 52.31/7.68 | | | | | | | | | | | | | | | | $i(all_50_0) | (v0 = xn & % 52.31/7.68 | | | | | | | | | | | | | | | | aNaturalNumber0(all_50_0) = 0)) % 52.31/7.68 | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | ALPHA: (425) implies: % 52.31/7.68 | | | | | | | | | | | | | | | | (426) ! [v0: any] : (v0 = all_50_0 | ~ (sdtasdt0(xr, % 52.31/7.68 | | | | | | | | | | | | | | | | v0) = xn) | ~ $i(v0) | ? [v1: int] : ( ~ % 52.31/7.68 | | | | | | | | | | | | | | | | (v1 = 0) & aNaturalNumber0(v0) = v1)) % 52.31/7.68 | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | BETA: splitting (399) gives: % 52.31/7.68 | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | Case 1: % 52.31/7.68 | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | (427) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 52.31/7.68 | | | | | | | | | | | | | | | | | (doDivides0(xr, xn) = v2 & aNaturalNumber0(xr) = % 52.31/7.68 | | | | | | | | | | | | | | | | | v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | % 52.31/7.68 | | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0))) % 52.31/7.68 | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | DELTA: instantiating (427) with fresh symbols all_193_0, % 52.31/7.68 | | | | | | | | | | | | | | | | | all_193_1, all_193_2 gives: % 52.31/7.68 | | | | | | | | | | | | | | | | | (428) doDivides0(xr, xn) = all_193_0 & % 52.31/7.68 | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_193_2 & % 52.31/7.68 | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = all_193_1 & ( ~ (all_193_0 = % 52.31/7.68 | | | | | | | | | | | | | | | | | 0) | ~ (all_193_1 = 0) | ~ (all_193_2 = 0)) % 52.31/7.68 | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | ALPHA: (428) implies: % 52.31/7.68 | | | | | | | | | | | | | | | | | (429) aNaturalNumber0(xn) = all_193_1 % 52.31/7.68 | | | | | | | | | | | | | | | | | (430) aNaturalNumber0(xr) = all_193_2 % 52.31/7.68 | | | | | | | | | | | | | | | | | (431) doDivides0(xr, xn) = all_193_0 % 52.31/7.68 | | | | | | | | | | | | | | | | | (432) ~ (all_193_0 = 0) | ~ (all_193_1 = 0) | ~ % 52.31/7.68 | | | | | | | | | | | | | | | | | (all_193_2 = 0) % 52.31/7.68 | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | BETA: splitting (141) gives: % 52.31/7.68 | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.68 | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | (433) ~ (all_78_1 = 0) % 52.31/7.68 | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | REDUCE: (212), (433) imply: % 52.31/7.68 | | | | | | | | | | | | | | | | | | (434) $false % 52.31/7.68 | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | CLOSE: (434) is inconsistent. % 52.31/7.68 | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.68 | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | (435) ~ (all_78_2 = 0) | all_78_0 = 0 % 52.31/7.68 | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | BETA: splitting (435) gives: % 52.31/7.68 | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.68 | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | (436) ~ (all_78_2 = 0) % 52.31/7.68 | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | REDUCE: (205), (436) imply: % 52.31/7.68 | | | | | | | | | | | | | | | | | | | (437) $false % 52.31/7.68 | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | CLOSE: (437) is inconsistent. % 52.31/7.68 | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.68 | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | (438) all_78_0 = 0 % 52.31/7.68 | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (438) imply: % 52.31/7.68 | | | | | | | | | | | | | | | | | | | (439) all_68_2 = 0 % 52.31/7.68 | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | SIMP: (439) implies: % 52.31/7.68 | | | | | | | | | | | | | | | | | | | (440) all_68_2 = 0 % 52.31/7.68 | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (240), (440) imply: % 52.31/7.68 | | | | | | | | | | | | | | | | | | | (441) all_86_2 = 0 % 52.31/7.68 | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives: % 52.31/7.68 | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | (442) ~ (all_86_1 = 0) % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | REDUCE: (271), (442) imply: % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | (443) $false % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | CLOSE: (443) is inconsistent. % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | (444) ~ (all_86_2 = 0) | all_86_0 = all_54_0 % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | BETA: splitting (444) gives: % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | (445) ~ (all_86_2 = 0) % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | REDUCE: (441), (445) imply: % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | (446) $false % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | CLOSE: (446) is inconsistent. % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_193_1, xn, % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | simplifying with (6), (429) gives: % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | (447) all_193_1 = 0 % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_193_2, xr, % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | simplifying with (15), (430) gives: % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | (448) all_193_2 = 0 % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with 0, all_193_0, xn, xr, % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | simplifying with (22), (431) gives: % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | (449) all_193_0 = 0 % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (432) gives: % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | (450) ~ (all_193_0 = 0) % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (449), (450) imply: % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | (451) $false % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (451) is inconsistent. % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | (452) ~ (all_193_1 = 0) | ~ (all_193_2 = 0) % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (452) gives: % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | | (453) ~ (all_193_1 = 0) % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (447), (453) imply: % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | | (454) $false % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (454) is inconsistent. % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | | (455) ~ (all_193_2 = 0) % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (448), (455) imply: % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | | (456) $false % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (456) is inconsistent. % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | End of split % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | End of split % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | End of split % 52.31/7.68 | | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | End of split % 52.31/7.68 | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | End of split % 52.31/7.68 | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | End of split % 52.31/7.68 | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | Case 2: % 52.31/7.68 | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | (457) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 52.31/7.68 | | | | | | | | | | | | | | | | | (sdtsldt0(v1, xr) = v2) | ~ (sdtasdt0(v0, xn) = % 52.31/7.68 | | | | | | | | | | | | | | | | | v1) | ~ $i(v0) | ? [v3: any] : ? [v4: $i] : % 52.31/7.68 | | | | | | | | | | | | | | | | | (sdtasdt0(v0, all_50_0) = v4 & % 52.31/7.68 | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = v3 & $i(v4) & ( ~ (v3 = % 52.31/7.68 | | | | | | | | | | | | | | | | | 0) | v4 = v2))) % 52.31/7.68 | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | BETA: splitting (402) gives: % 52.31/7.68 | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.68 | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | (458) xp = sz10 % 52.31/7.68 | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | REDUCE: (323), (458) imply: % 52.31/7.68 | | | | | | | | | | | | | | | | | | (459) $false % 52.31/7.68 | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | CLOSE: (459) is inconsistent. % 52.31/7.68 | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.68 | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | (460) ? [v0: $i] : (isPrime0(v0) = 0 & doDivides0(v0, % 52.31/7.68 | | | | | | | | | | | | | | | | | | xp) = 0 & aNaturalNumber0(v0) = 0 & $i(v0)) % 52.31/7.68 | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | DELTA: instantiating (460) with fresh symbol all_196_0 % 52.31/7.68 | | | | | | | | | | | | | | | | | | gives: % 52.31/7.68 | | | | | | | | | | | | | | | | | | (461) isPrime0(all_196_0) = 0 & doDivides0(all_196_0, % 52.31/7.68 | | | | | | | | | | | | | | | | | | xp) = 0 & aNaturalNumber0(all_196_0) = 0 & % 52.31/7.68 | | | | | | | | | | | | | | | | | | $i(all_196_0) % 52.31/7.68 | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | ALPHA: (461) implies: % 52.31/7.68 | | | | | | | | | | | | | | | | | | (462) $i(all_196_0) % 52.31/7.68 | | | | | | | | | | | | | | | | | | (463) doDivides0(all_196_0, xp) = 0 % 52.31/7.68 | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | BETA: splitting (141) gives: % 52.31/7.68 | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.68 | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | (464) ~ (all_78_1 = 0) % 52.31/7.68 | | | | | | | | | | | | | | | | | | | % 52.31/7.68 | | | | | | | | | | | | | | | | | | | REDUCE: (212), (464) imply: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | (465) $false % 52.31/7.69 | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | CLOSE: (465) is inconsistent. % 52.31/7.69 | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | (466) ~ (all_78_2 = 0) | all_78_0 = 0 % 52.31/7.69 | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | (467) ~ (all_76_2 = 0) % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | REDUCE: (295), (467) imply: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | (468) $false % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | CLOSE: (468) is inconsistent. % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | (469) all_76_0 = 0 % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (469) imply: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | (470) aNaturalNumber0(all_42_0) = 0 % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | BETA: splitting (112) gives: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | (471) xp = sz00 % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | REDUCE: (322), (471) imply: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | (472) $false % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | CLOSE: (472) is inconsistent. % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | (473) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | (doDivides0(xp, all_42_0) = v2 & % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_42_0) = v1 & % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v0 & ( ~ (v2 = 0) | ~ (v1 % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | = 0) | ~ (v0 = 0))) | ( ! [v0: $i] : (v0 = % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | xk | ~ (sdtasdt0(xp, v0) = all_42_0) | ~ % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = v1)) & ! [v0: $i] : ( % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | ~ (sdtasdt0(xp, xk) = v0) | ~ $i(xk) | (v0 = % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | all_42_0 & aNaturalNumber0(xk) = 0))) % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (109) gives: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | (474) ? [v0: any] : ? [v1: any] : % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_42_0) = v1 & % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v0 & ( ~ (v1 = 0) | ~ (v0 % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | = 0))) % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (474) with fresh symbols all_226_0, % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | all_226_1 gives: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | (475) aNaturalNumber0(all_42_0) = all_226_0 & % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_226_1 & ( ~ (all_226_0 = % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_226_1 = 0)) % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (475) implies: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | (476) aNaturalNumber0(xr) = all_226_1 % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | (477) aNaturalNumber0(all_42_0) = all_226_0 % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | (478) ~ (all_226_0 = 0) | ~ (all_226_1 = 0) % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_226_1, xr, % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | simplifying with (15), (476) gives: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | (479) all_226_1 = 0 % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_226_0, all_42_0, % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | simplifying with (470), (477) gives: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | (480) all_226_0 = 0 % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (478) gives: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | (481) ~ (all_226_0 = 0) % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (480), (481) imply: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | (482) $false % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (482) is inconsistent. % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | (483) ~ (all_226_1 = 0) % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (479), (483) imply: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | (484) $false % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (484) is inconsistent. % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | End of split % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | (485) ? [v0: $i] : (sdtasdt0(xr, v0) = all_42_0 & % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = 0 & $i(v0)) % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (485) with fresh symbol all_226_0 % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | gives: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | (486) sdtasdt0(xr, all_226_0) = all_42_0 & % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_226_0) = 0 & $i(all_226_0) % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (486) implies: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | (487) $i(all_226_0) % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | (488) sdtasdt0(xr, all_226_0) = all_42_0 % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (466) gives: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | (489) ~ (all_78_2 = 0) % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (205), (489) imply: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | (490) $false % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (490) is inconsistent. % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | (491) all_78_0 = 0 % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (491) imply: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | (492) all_68_2 = 0 % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (492) implies: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | (493) all_68_2 = 0 % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (240), (493) imply: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | (494) all_86_2 = 0 % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | (495) ~ (all_86_1 = 0) % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (271), (495) imply: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | (496) $false % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (496) is inconsistent. % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | (497) ~ (all_86_2 = 0) | all_86_0 = all_54_0 % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (497) gives: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | (498) ~ (all_86_2 = 0) % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (498) imply: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | (499) $false % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (499) is inconsistent. % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | (500) all_86_0 = all_54_0 % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (500) imply: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | (501) sdtpldt0(xp, all_54_1) = all_54_0 % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (502) ~ (all_82_2 = 0) % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (300), (502) imply: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (503) $false % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (503) is inconsistent. % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (504) all_82_0 = all_42_0 % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (504) imply: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (505) sdtasdt0(xm, xn) = all_42_0 % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (390) gives: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (506) xr = sz10 % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (313), (506) imply: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (507) $false % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (507) is inconsistent. % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (508) ? [v0: $i] : (isPrime0(v0) = 0 & doDivides0(v0, % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | xr) = 0 & aNaturalNumber0(v0) = 0 & $i(v0)) % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (508) with fresh symbol all_254_0 % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (509) isPrime0(all_254_0) = 0 & doDivides0(all_254_0, % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | xr) = 0 & aNaturalNumber0(all_254_0) = 0 & % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_254_0) % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (509) implies: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (510) $i(all_254_0) % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (511) aNaturalNumber0(all_254_0) = 0 % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (512) doDivides0(all_254_0, xr) = 0 % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (513) isPrime0(all_254_0) = 0 % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with 0, all_98_3, all_42_0, xp, % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (79), (304) gives: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (514) all_98_3 = 0 % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (473) gives: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (515) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (doDivides0(xp, all_42_0) = v2 & % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_42_0) = v1 & % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v0 & ( ~ (v2 = 0) | ~ (v1 % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | ~ (v0 = 0))) % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (515) with fresh symbols all_279_0, % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_279_1, all_279_2 gives: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (516) doDivides0(xp, all_42_0) = all_279_0 & % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_42_0) = all_279_1 & % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_279_2 & ( ~ (all_279_0 = % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_279_1 = 0) | ~ (all_279_2 = 0)) % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (516) implies: % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (517) aNaturalNumber0(xp) = all_279_2 % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (518) aNaturalNumber0(all_42_0) = all_279_1 % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (519) doDivides0(xp, all_42_0) = all_279_0 % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (515) with fresh symbols all_281_0, % 52.31/7.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_281_1, all_281_2 gives: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (520) doDivides0(xp, all_42_0) = all_281_0 & % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_42_0) = all_281_1 & % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_281_2 & ( ~ (all_281_0 = % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_281_1 = 0) | ~ (all_281_2 = 0)) % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (520) implies: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (521) aNaturalNumber0(xp) = all_281_2 % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (522) aNaturalNumber0(all_42_0) = all_281_1 % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (523) doDivides0(xp, all_42_0) = all_281_0 % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (524) ~ (all_281_0 = 0) | ~ (all_281_1 = 0) | ~ % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_281_2 = 0) % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_281_2, xp, % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (521) gives: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (525) all_281_2 = 0 % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_279_2, all_281_2, xp, % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (517), (521) gives: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (526) all_281_2 = all_279_2 % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_281_1, all_42_0, % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (470), (522) gives: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (527) all_281_1 = 0 % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_279_1, all_281_1, % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_0, simplifying with (518), (522) gives: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (528) all_281_1 = all_279_1 % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with 0, all_281_0, all_42_0, % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | xp, simplifying with (79), (523) gives: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (529) all_281_0 = 0 % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_279_0, all_281_0, % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_0, xp, simplifying with (519), (523) gives: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (530) all_281_0 = all_279_0 % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (529), (530) imply: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (531) all_279_0 = 0 % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (527), (528) imply: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (532) all_279_1 = 0 % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (526) imply: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (533) all_279_2 = 0 % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (524) gives: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (534) ~ (all_281_0 = 0) % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (529), (534) imply: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (535) $false % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (535) is inconsistent. % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (536) ~ (all_281_1 = 0) | ~ (all_281_2 = 0) % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (536) gives: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (537) ~ (all_281_1 = 0) % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (527), (537) imply: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (538) $false % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (538) is inconsistent. % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (539) ~ (all_281_2 = 0) % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (525), (539) imply: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (540) $false % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (540) is inconsistent. % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (541) ! [v0: $i] : (v0 = xk | ~ (sdtasdt0(xp, v0) = % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) & aNaturalNumber0(v0) = v1)) & ! [v0: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i] : ( ~ (sdtasdt0(xp, xk) = v0) | ~ $i(xk) | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = all_42_0 & aNaturalNumber0(xk) = 0)) % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (541) implies: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (542) ! [v0: $i] : ( ~ (sdtasdt0(xp, xk) = v0) | ~ % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(xk) | (v0 = all_42_0 & aNaturalNumber0(xk) = % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0)) % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (542) with all_52_2, simplifying % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | with (27), (58) gives: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (543) all_52_2 = all_42_0 & aNaturalNumber0(xk) = 0 % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (543) implies: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (544) all_52_2 = all_42_0 % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (545) aNaturalNumber0(xk) = 0 % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (544) imply: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (546) sdtsldt0(all_42_0, xr) = all_52_1 % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (544) imply: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (547) aNaturalNumber0(all_42_0) = all_74_0 % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_74_1, 0, xk, % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (130), (545) gives: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (548) all_74_1 = 0 % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_74_0, all_42_0, % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (470), (547) gives: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (549) all_74_0 = 0 % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (548) imply: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (550) all_92_1 = 0 % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (174) gives: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (551) ~ (all_92_1 = 0) % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (550), (551) imply: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (552) $false % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (552) is inconsistent. % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (553) ~ (all_92_2 = 0) | all_92_0 = all_52_2 % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (104) gives: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (554) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xk) % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0))) % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (554) with fresh symbols all_302_0, % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_302_1 gives: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (555) aNaturalNumber0(xk) = all_302_1 & % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_302_0 & ( ~ (all_302_0 = % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_302_1 = 0)) % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (555) implies: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (556) aNaturalNumber0(xp) = all_302_0 % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (557) aNaturalNumber0(xk) = all_302_1 % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (558) ~ (all_302_0 = 0) | ~ (all_302_1 = 0) % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (113) gives: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (559) xr = sz00 % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (312), (559) imply: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (560) $false % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (560) is inconsistent. % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_302_0, xp, % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (556) gives: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (561) all_302_0 = 0 % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_302_1, xk, % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (545), (557) gives: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562) all_302_1 = 0 % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (558) gives: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (563) ~ (all_302_0 = 0) % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (561), (563) imply: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (564) $false % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (564) is inconsistent. % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (565) ~ (all_302_1 = 0) % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (565) imply: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (566) $false % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (566) is inconsistent. % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (567) ? [v0: $i] : (sdtpldt0(xk, v0) = xp & % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = 0 & $i(v0)) % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (567) with fresh symbol all_302_0 % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (568) sdtpldt0(xk, all_302_0) = xp & % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_302_0) = 0 & $i(all_302_0) % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (568) implies: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (569) $i(all_302_0) % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (570) sdtpldt0(xk, all_302_0) = xp % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (553) gives: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (571) ~ (all_92_2 = 0) % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (251), (571) imply: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (572) $false % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (572) is inconsistent. % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (573) all_92_0 = all_52_2 % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (573) imply: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (574) all_92_0 = all_42_0 % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (173), (574) imply: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (575) sdtasdt0(xk, xp) = all_42_0 % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (105) gives: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (576) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xr) % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v0 & aNaturalNumber0(xk) = v1 & ( ~ (v1 = 0) | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0))) % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (576) with fresh symbols all_310_0, % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_310_1 gives: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (577) aNaturalNumber0(xr) = all_310_1 & % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xk) = all_310_0 & ( ~ (all_310_0 = % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_310_1 = 0)) % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (577) implies: % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (578) aNaturalNumber0(xk) = all_310_0 % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (579) aNaturalNumber0(xr) = all_310_1 % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (580) ~ (all_310_0 = 0) | ~ (all_310_1 = 0) % 52.31/7.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_310_0, xk, % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (545), (578) gives: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (581) all_310_0 = 0 % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_310_1, xr, % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (15), (579) gives: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (582) all_310_1 = 0 % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (580) gives: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (583) ~ (all_310_0 = 0) % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (583) imply: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (584) $false % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (584) is inconsistent. % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (585) ~ (all_310_1 = 0) % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (585) imply: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (586) $false % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (586) is inconsistent. % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (587) ? [v0: $i] : (sdtpldt0(xr, v0) = xk & % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = 0 & $i(v0)) % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (587) with fresh symbol all_310_0 % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (588) sdtpldt0(xr, all_310_0) = xk & % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_310_0) = 0 & $i(all_310_0) % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (588) implies: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (589) $i(all_310_0) % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (590) sdtpldt0(xr, all_310_0) = xk % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (113) gives: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (591) xr = sz00 % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (312), (591) imply: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (592) $false % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (592) is inconsistent. % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (593) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (doDivides0(xr, all_52_2) = v2 & % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_52_2) = v1 & % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v0 & ( ~ (v2 = 0) | ~ (v1 % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | ~ (v0 = 0))) | ( ! [v0: any] : (v0 = % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_1 | ~ (sdtasdt0(xr, v0) = all_52_2) | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = v1)) & ! [v0: $i] : ( % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (sdtasdt0(xr, all_52_1) = v0) | ~ % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) | (v0 = all_52_2 & % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_52_1) = 0))) % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (108) gives: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (594) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xr) % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v0 & aNaturalNumber0(xk) = v1 & ( ~ (v1 = 0) | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0))) % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (594) with fresh symbols all_318_0, % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_318_1 gives: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (595) aNaturalNumber0(xr) = all_318_1 & % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xk) = all_318_0 & ( ~ (all_318_0 = % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_318_1 = 0)) % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (595) implies: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (596) aNaturalNumber0(xk) = all_318_0 % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (597) aNaturalNumber0(xr) = all_318_1 % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (598) ~ (all_318_0 = 0) | ~ (all_318_1 = 0) % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_318_0, xk, % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (545), (596) gives: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (599) all_318_0 = 0 % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_318_1, xr, % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (15), (597) gives: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (600) all_318_1 = 0 % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (598) gives: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (601) ~ (all_318_0 = 0) % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (599), (601) imply: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (602) $false % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (602) is inconsistent. % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (603) ~ (all_318_1 = 0) % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (600), (603) imply: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (604) $false % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (604) is inconsistent. % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (605) ? [v0: $i] : (sdtasdt0(xr, v0) = xk & % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = 0 & $i(v0)) % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (605) with fresh symbol all_318_0 % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (606) sdtasdt0(xr, all_318_0) = xk & % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_318_0) = 0 & $i(all_318_0) % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (606) implies: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (607) $i(all_318_0) % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (608) sdtasdt0(xr, all_318_0) = xk % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (593) gives: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (609) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (doDivides0(xr, all_52_2) = v2 & % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_52_2) = v1 & % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v0 & ( ~ (v2 = 0) | ~ (v1 % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | ~ (v0 = 0))) % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (609) with fresh symbols all_324_0, % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_324_1, all_324_2 gives: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (610) doDivides0(xr, all_52_2) = all_324_0 & % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_52_2) = all_324_1 & % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_324_2 & ( ~ (all_324_0 = % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_324_1 = 0) | ~ (all_324_2 = 0)) % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (610) implies: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (611) aNaturalNumber0(xr) = all_324_2 % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (612) aNaturalNumber0(all_52_2) = all_324_1 % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (613) doDivides0(xr, all_52_2) = all_324_0 % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (614) ~ (all_324_0 = 0) | ~ (all_324_1 = 0) | ~ % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_324_2 = 0) % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (609) with fresh symbols all_326_0, % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_326_1, all_326_2 gives: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (615) doDivides0(xr, all_52_2) = all_326_0 & % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_52_2) = all_326_1 & % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_326_2 & ( ~ (all_326_0 = % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_326_1 = 0) | ~ (all_326_2 = 0)) % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (615) implies: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (616) aNaturalNumber0(xr) = all_326_2 % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (617) aNaturalNumber0(all_52_2) = all_326_1 % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (618) doDivides0(xr, all_52_2) = all_326_0 % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (618) imply: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (619) doDivides0(xr, all_42_0) = all_326_0 % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (613) imply: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (620) doDivides0(xr, all_42_0) = all_324_0 % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (617) imply: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (621) aNaturalNumber0(all_42_0) = all_326_1 % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (612) imply: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (622) aNaturalNumber0(all_42_0) = all_324_1 % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_326_2, xr, % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (15), (616) gives: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (623) all_326_2 = 0 % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_324_2, all_326_2, xr, % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (611), (616) gives: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (624) all_326_2 = all_324_2 % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_326_1, all_42_0, % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (470), (621) gives: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (625) all_326_1 = 0 % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_324_1, all_326_1, % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_0, simplifying with (621), (622) gives: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (626) all_326_1 = all_324_1 % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with 0, all_326_0, all_42_0, % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xr, simplifying with (78), (619) gives: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (627) all_326_0 = 0 % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_324_0, all_326_0, % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_0, xr, simplifying with (619), (620) gives: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (628) all_326_0 = all_324_0 % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (627), (628) imply: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (629) all_324_0 = 0 % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (625), (626) imply: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (630) all_324_1 = 0 % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (623), (624) imply: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (631) all_324_2 = 0 % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (614) gives: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (632) ~ (all_324_0 = 0) % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (632) imply: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (633) $false % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (633) is inconsistent. % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (634) ~ (all_324_1 = 0) | ~ (all_324_2 = 0) % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (634) gives: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (635) ~ (all_324_1 = 0) % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (630), (635) imply: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (636) $false % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (636) is inconsistent. % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (637) ~ (all_324_2 = 0) % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (637) imply: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (638) $false % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (638) is inconsistent. % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (639) ! [v0: any] : (v0 = all_52_1 | ~ (sdtasdt0(xr, % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v0) = all_52_2) | ~ $i(v0) | ? [v1: int] : % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1)) & ! % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v0: $i] : ( ~ (sdtasdt0(xr, all_52_1) = v0) | ~ % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) | (v0 = all_52_2 & % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_52_1) = 0)) % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (639) implies: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (640) ! [v0: $i] : ( ~ (sdtasdt0(xr, all_52_1) = v0) | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ $i(all_52_1) | (v0 = all_52_2 & % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_52_1) = 0)) % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with xk, simplifying with (27), % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (545) gives: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (641) xk = sz10 | xk = sz00 | ? [v0: $i] : % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (isPrime0(v0) = 0 & doDivides0(v0, xk) = 0 & % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = 0 & $i(v0)) % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (69) with xm, xn, xp, all_54_1, % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_54_0, simplifying with (24), (25), (26), (68), % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (406) gives: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (642) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: $i] : ? [v5: any] : ? [v6: % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v7: any] : ? [v8: any] : % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (isPrime0(xp) = v3 & doDivides0(xp, v4) = v5 & % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | doDivides0(xp, xm) = v7 & doDivides0(xp, xn) = % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v8 & iLess0(all_54_0, all_54_0) = v6 & % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(xm, xn) = v4 & aNaturalNumber0(xp) = v2 % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & aNaturalNumber0(xm) = v0 & aNaturalNumber0(xn) % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v1 & $i(v4) & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | v8 = 0 | v7 = 0)) % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddAsso) with xm, xn, xp, % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_54_1, all_54_0, simplifying with (24), (25), % 52.31/7.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (26), (68), (406) gives: % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (643) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtpldt0(xm, v3) = v4 & % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtpldt0(xn, xp) = v3 & aNaturalNumber0(xp) = v2 % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & aNaturalNumber0(xm) = v0 & aNaturalNumber0(xn) % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v1 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 = % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v4 = all_54_0)) % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddComm) with xm, xp, all_96_1, % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (25), (26), (186) gives: % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (644) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtpldt0(xp, xm) = v2 & aNaturalNumber0(xp) = v1 % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & aNaturalNumber0(xm) = v0 & $i(v2) & ( ~ (v1 = % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v2 = all_96_1)) % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB) with xm, xp, all_96_1, % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (25), (26), (186) gives: % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (645) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_96_1) = v2 & % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v1 & aNaturalNumber0(xm) = % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddComm) with xm, all_160_0, xp, % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (25), (386), (387) gives: % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (646) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtpldt0(all_160_0, xm) = v2 & % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_160_0) = v1 & % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = v0 & $i(v2) & ( ~ (v1 = 0) % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = xp)) % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (69) with xm, all_160_0, all_54_1, % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xp, all_54_0, simplifying with (25), (66), (386), % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387), (501) gives: % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (647) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: $i] : ? [v5: any] : ? [v6: % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v7: any] : ? [v8: any] : % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (isPrime0(all_54_1) = v3 & doDivides0(all_54_1, % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v4) = v5 & doDivides0(all_54_1, all_160_0) = % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v8 & doDivides0(all_54_1, xm) = v7 & % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | iLess0(all_54_0, all_54_0) = v6 & sdtasdt0(xm, % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_160_0) = v4 & aNaturalNumber0(all_160_0) = % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v1 & aNaturalNumber0(all_54_1) = v2 & % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = v0 & $i(v4) & ( ~ (v6 = 0) % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v5 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v8 = 0 | v7 = 0)) % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddAsso) with xm, all_160_0, % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_54_1, xp, all_54_0, simplifying with (25), % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (66), (386), (387), (501) gives: % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (648) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtpldt0(all_160_0, % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_54_1) = v3 & sdtpldt0(xm, v3) = v4 & % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_160_0) = v1 & % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_54_1) = v2 & % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = v0 & $i(v4) & $i(v3) & ( ~ % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_54_0)) % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mDivMin) with xr, xr, all_310_0, % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xk, simplifying with (16), (28), (589), (590) % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (649) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : (doDivides0(xr, % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_310_0) = v4 & doDivides0(xr, xr) = v3 & % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_310_0) = v2 & % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v1 & aNaturalNumber0(xr) = % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v4 = 0)) % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (69) with xr, all_310_0, all_302_0, % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xk, xp, simplifying with (28), (569), (570), % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (589), (590) gives: % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (650) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: $i] : ? [v5: any] : ? [v6: % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v7: any] : ? [v8: any] : % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (isPrime0(all_302_0) = v3 & doDivides0(all_302_0, % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v4) = v5 & doDivides0(all_302_0, all_310_0) = % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v8 & doDivides0(all_302_0, xr) = v7 & iLess0(xp, % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_54_0) = v6 & sdtasdt0(xr, all_310_0) = v4 % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & aNaturalNumber0(all_310_0) = v1 & % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_302_0) = v2 & % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v0 & $i(v4) & ( ~ (v6 = 0) % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v5 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v8 = 0 | v7 = 0)) % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddAsso) with xr, all_310_0, % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_302_0, xk, xp, simplifying with (28), (569), % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (570), (589), (590) gives: % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (651) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtpldt0(all_310_0, % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_302_0) = v3 & sdtpldt0(xr, v3) = v4 & % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_310_0) = v1 & % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_302_0) = v2 & % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v0 & $i(v4) & $i(v3) & ( ~ % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xp)) % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddComm) with xr, all_310_0, xk, % 52.31/7.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (28), (589), (590) gives: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (652) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtpldt0(all_310_0, xr) = v2 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_310_0) = v1 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v0 & $i(v2) & ( ~ (v1 = 0) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = xk)) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xm, xr, all_94_1, % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (25), (28), (180) gives: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (653) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(xr, xm) = v2 & aNaturalNumber0(xr) = v1 % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & aNaturalNumber0(xm) = v0 & $i(v2) & ( ~ (v1 = % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v2 = all_94_1)) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB_02) with xm, xr, all_94_1, % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (25), (28), (180) gives: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (654) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_94_1) = v2 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v1 & aNaturalNumber0(xm) = % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xm, all_50_0, % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_90_0, simplifying with (25), (81), (169) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (655) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(all_50_0, xm) = v2 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_50_0) = v1 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = v0 & $i(v2) & ( ~ (v1 = 0) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = all_90_0)) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB_02) with xm, all_50_0, % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_90_0, simplifying with (25), (81), (169) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (656) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_90_0) = v2 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_50_0) = v1 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | v2 = 0)) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xr, all_52_5, % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_84_0, simplifying with (28), (54), (154) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (657) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(all_52_5, xr) = v2 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_52_5) = v1 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v0 & $i(v2) & ( ~ (v1 = 0) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = all_84_0)) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB_02) with xr, all_52_5, % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_84_0, simplifying with (28), (54), (154) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (658) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_84_0) = v2 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_52_5) = v1 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v0 & ( ~ (v1 = 0) | ~ (v0 % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | v2 = 0)) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (640) with all_80_0, simplifying % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | with (56), (145) gives: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (659) all_80_0 = all_52_2 & aNaturalNumber0(all_52_1) = % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (659) implies: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (660) all_80_0 = all_52_2 % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (661) aNaturalNumber0(all_52_1) = 0 % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xr, all_52_1, % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_80_0, simplifying with (28), (56), (145) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (662) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(all_52_1, xr) = v2 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_52_1) = v1 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v0 & $i(v2) & ( ~ (v1 = 0) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = all_80_0)) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB_02) with xr, all_52_1, % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_80_0, simplifying with (28), (56), (145) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (663) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_80_0) = v2 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_52_1) = v1 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v0 & ( ~ (v1 = 0) | ~ (v0 % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | v2 = 0)) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulAsso) with xr, all_152_0, xm, % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xn, all_42_0, simplifying with (25), (28), (35), % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (357), (359) gives: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (664) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtasdt0(all_152_0, xm) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v3 & sdtasdt0(xr, v3) = v4 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_152_0) = v1 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v0 & aNaturalNumber0(xm) = % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v2 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 = % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v4 = all_42_0)) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (426) with all_152_0, simplifying % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | with (357), (359) gives: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (665) all_152_0 = all_50_0 | ? [v0: int] : ( ~ (v0 = 0) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & aNaturalNumber0(all_152_0) = v0) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xr, all_152_0, xn, % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (28), (357), (359) gives: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (666) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(all_152_0, xr) = v2 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_152_0) = v1 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v0 & $i(v2) & ( ~ (v1 = 0) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = xn)) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xr, all_226_0, % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_0, simplifying with (28), (487), (488) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (667) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(all_226_0, xr) = v2 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_226_0) = v1 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v0 & $i(v2) & ( ~ (v1 = 0) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = all_42_0)) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulAsso) with xr, all_318_0, xp, % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xk, all_42_0, simplifying with (26), (28), (575), % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (607), (608) gives: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (668) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtasdt0(all_318_0, xp) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v3 & sdtasdt0(xr, v3) = v4 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_318_0) = v1 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v0 & aNaturalNumber0(xp) = % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v2 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 = % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v4 = all_42_0)) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xr, all_318_0, xk, % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (28), (607), (608) gives: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (669) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(all_318_0, xr) = v2 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_318_0) = v1 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v0 & $i(v2) & ( ~ (v1 = 0) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = xk)) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with all_50_0, all_94_1, % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_94_0, simplifying with (81), (176), (181) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (670) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(all_94_1, all_50_0) = v2 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_94_1) = v1 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_50_0) = v0 & $i(v2) & ( ~ % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v2 = all_94_0)) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB_02) with all_50_0, % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_94_1, all_94_0, simplifying with (81), (176), % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (181) gives: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (671) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_94_0) = v2 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_94_1) = v1 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_50_0) = v0 & ( ~ (v1 = 0) | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = 0)) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mDivMin) with all_196_0, xm, % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_160_0, xp, simplifying with (25), (386), % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387), (462), (463) gives: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (672) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : (doDivides0(all_196_0, % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_160_0) = v4 & doDivides0(all_196_0, xm) = % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v3 & aNaturalNumber0(all_196_0) = v0 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_160_0) = v2 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = v1 & ( ~ (v3 = 0) | ~ (v2 % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0)) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (314) with all_254_0, simplifying % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | with (510), (512) gives: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (673) all_254_0 = xr | all_254_0 = sz10 | ? [v0: int] : % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) & aNaturalNumber0(all_254_0) = v0) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_254_0, xr, simplifying % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | with (28), (510), (512) gives: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (674) xr = sz00 | ? [v0: any] : ? [v1: any] : ? [v2: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | any] : (sdtlseqdt0(all_254_0, xr) = v2 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_254_0) = v0 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v1 & ( ~ (v1 = 0) | ~ (v0 % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | v2 = 0)) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (457) with xm, all_42_0, all_52_1, % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (25), (505), (546) gives: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (675) ? [v0: any] : ? [v1: $i] : (sdtasdt0(xm, % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_0) = v1 & aNaturalNumber0(xm) = v0 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v1) & ( ~ (v0 = 0) | v1 = all_52_1)) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_254_0, 0, simplifying % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | with (510), (513) gives: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (676) ? [v0: int] : ( ~ (v0 = 0) & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_254_0) = v0) | ( ~ % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_254_0 = sz10) & ~ (all_254_0 = sz00) & ! % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v0: any] : (v0 = all_254_0 | v0 = sz10 | ~ % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (doDivides0(v0, all_254_0) = 0) | ~ $i(v0) | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ? [v1: int] : ( ~ (v1 = 0) & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = v1))) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (660) imply: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (677) all_80_0 = all_42_0 % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (675) with fresh symbols all_334_0, % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_334_1 gives: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (678) sdtasdt0(xm, all_50_0) = all_334_0 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_334_1 & $i(all_334_0) & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_334_1 = 0) | all_334_0 = all_52_1) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (678) implies: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (679) aNaturalNumber0(xm) = all_334_1 % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (680) sdtasdt0(xm, all_50_0) = all_334_0 % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (681) ~ (all_334_1 = 0) | all_334_0 = all_52_1 % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (663) with fresh symbols all_336_0, % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_336_1, all_336_2 gives: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (682) aNaturalNumber0(all_80_0) = all_336_0 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_52_1) = all_336_1 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_336_2 & ( ~ (all_336_1 = % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_336_2 = 0) | all_336_0 = 0) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (682) implies: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (683) aNaturalNumber0(xr) = all_336_2 % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (684) aNaturalNumber0(all_52_1) = all_336_1 % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (656) with fresh symbols all_338_0, % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_338_1, all_338_2 gives: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (685) aNaturalNumber0(all_90_0) = all_338_0 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_50_0) = all_338_1 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_338_2 & ( ~ (all_338_1 = % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_338_2 = 0) | all_338_0 = 0) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (685) implies: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (686) aNaturalNumber0(xm) = all_338_2 % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (687) aNaturalNumber0(all_50_0) = all_338_1 % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (654) with fresh symbols all_340_0, % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_340_1, all_340_2 gives: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (688) aNaturalNumber0(all_94_1) = all_340_0 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_340_1 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_340_2 & ( ~ (all_340_1 = % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_340_2 = 0) | all_340_0 = 0) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (688) implies: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (689) aNaturalNumber0(xm) = all_340_2 % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (690) aNaturalNumber0(xr) = all_340_1 % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (645) with fresh symbols all_342_0, % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_342_1, all_342_2 gives: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (691) aNaturalNumber0(all_96_1) = all_342_0 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_342_1 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_342_2 & ( ~ (all_342_1 = % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_342_2 = 0) | all_342_0 = 0) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (691) implies: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (692) aNaturalNumber0(xm) = all_342_2 % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (658) with fresh symbols all_344_0, % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_344_1, all_344_2 gives: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (693) aNaturalNumber0(all_84_0) = all_344_0 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_52_5) = all_344_1 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_344_2 & ( ~ (all_344_1 = % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_344_2 = 0) | all_344_0 = 0) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (693) implies: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (694) aNaturalNumber0(xr) = all_344_2 % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (671) with fresh symbols all_348_0, % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_348_1, all_348_2 gives: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (695) aNaturalNumber0(all_94_0) = all_348_0 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_94_1) = all_348_1 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_50_0) = all_348_2 & ( ~ % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_348_1 = 0) | ~ (all_348_2 = 0) | all_348_0 % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (695) implies: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (696) aNaturalNumber0(all_50_0) = all_348_2 % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (669) with fresh symbols all_350_0, % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_350_1, all_350_2 gives: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (697) sdtasdt0(all_318_0, xr) = all_350_0 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_318_0) = all_350_1 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_350_2 & $i(all_350_0) & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_350_1 = 0) | ~ (all_350_2 = 0) | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_350_0 = xk) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (697) implies: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (698) aNaturalNumber0(xr) = all_350_2 % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (670) with fresh symbols all_352_0, % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_352_1, all_352_2 gives: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (699) sdtasdt0(all_94_1, all_50_0) = all_352_0 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_94_1) = all_352_1 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_50_0) = all_352_2 & % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_352_0) & ( ~ (all_352_1 = 0) | ~ % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_352_2 = 0) | all_352_0 = all_94_0) % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (699) implies: % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (700) aNaturalNumber0(all_50_0) = all_352_2 % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (667) with fresh symbols all_354_0, % 52.31/7.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_354_1, all_354_2 gives: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (701) sdtasdt0(all_226_0, xr) = all_354_0 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_226_0) = all_354_1 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_354_2 & $i(all_354_0) & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_354_1 = 0) | ~ (all_354_2 = 0) | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_354_0 = all_42_0) % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (701) implies: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (702) aNaturalNumber0(xr) = all_354_2 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (644) with fresh symbols all_356_0, % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_356_1, all_356_2 gives: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (703) sdtpldt0(xp, xm) = all_356_0 & aNaturalNumber0(xp) % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_356_1 & aNaturalNumber0(xm) = all_356_2 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_356_0) & ( ~ (all_356_1 = 0) | ~ % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_356_2 = 0) | all_356_0 = all_96_1) % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (703) implies: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (704) aNaturalNumber0(xm) = all_356_2 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (666) with fresh symbols all_360_0, % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_360_1, all_360_2 gives: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (705) sdtasdt0(all_152_0, xr) = all_360_0 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_152_0) = all_360_1 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_360_2 & $i(all_360_0) & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_360_1 = 0) | ~ (all_360_2 = 0) | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_360_0 = xn) % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (705) implies: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (706) aNaturalNumber0(xr) = all_360_2 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (707) aNaturalNumber0(all_152_0) = all_360_1 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (708) ~ (all_360_1 = 0) | ~ (all_360_2 = 0) | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_360_0 = xn % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (657) with fresh symbols all_364_0, % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_364_1, all_364_2 gives: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (709) sdtasdt0(all_52_5, xr) = all_364_0 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_52_5) = all_364_1 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_364_2 & $i(all_364_0) & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_364_1 = 0) | ~ (all_364_2 = 0) | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_364_0 = all_84_0) % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (709) implies: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (710) aNaturalNumber0(xr) = all_364_2 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (711) sdtasdt0(all_52_5, xr) = all_364_0 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (662) with fresh symbols all_370_0, % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_370_1, all_370_2 gives: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (712) sdtasdt0(all_52_1, xr) = all_370_0 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_52_1) = all_370_1 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_370_2 & $i(all_370_0) & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_370_1 = 0) | ~ (all_370_2 = 0) | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_370_0 = all_80_0) % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (712) implies: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (713) aNaturalNumber0(xr) = all_370_2 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (714) aNaturalNumber0(all_52_1) = all_370_1 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (715) sdtasdt0(all_52_1, xr) = all_370_0 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (655) with fresh symbols all_372_0, % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_372_1, all_372_2 gives: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (716) sdtasdt0(all_50_0, xm) = all_372_0 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_50_0) = all_372_1 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_372_2 & $i(all_372_0) & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_372_1 = 0) | ~ (all_372_2 = 0) | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_372_0 = all_90_0) % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (716) implies: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (717) aNaturalNumber0(xm) = all_372_2 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (718) aNaturalNumber0(all_50_0) = all_372_1 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (719) sdtasdt0(all_50_0, xm) = all_372_0 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (720) ~ (all_372_1 = 0) | ~ (all_372_2 = 0) | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_372_0 = all_90_0 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (653) with fresh symbols all_374_0, % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_374_1, all_374_2 gives: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (721) sdtasdt0(xr, xm) = all_374_0 & aNaturalNumber0(xr) % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_374_1 & aNaturalNumber0(xm) = all_374_2 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_374_0) & ( ~ (all_374_1 = 0) | ~ % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_374_2 = 0) | all_374_0 = all_94_1) % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (721) implies: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (722) aNaturalNumber0(xm) = all_374_2 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (723) aNaturalNumber0(xr) = all_374_1 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (652) with fresh symbols all_376_0, % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_376_1, all_376_2 gives: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (724) sdtpldt0(all_310_0, xr) = all_376_0 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_310_0) = all_376_1 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_376_2 & $i(all_376_0) & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_376_1 = 0) | ~ (all_376_2 = 0) | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_376_0 = xk) % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (724) implies: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (725) aNaturalNumber0(xr) = all_376_2 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (646) with fresh symbols all_378_0, % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_378_1, all_378_2 gives: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (726) sdtpldt0(all_160_0, xm) = all_378_0 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_160_0) = all_378_1 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_378_2 & $i(all_378_0) & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_378_1 = 0) | ~ (all_378_2 = 0) | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_378_0 = xp) % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (726) implies: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (727) aNaturalNumber0(xm) = all_378_2 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (649) with fresh symbols all_380_0, % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_380_1, all_380_2, all_380_3, all_380_4 gives: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (728) doDivides0(xr, all_310_0) = all_380_0 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | doDivides0(xr, xr) = all_380_1 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_310_0) = all_380_2 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_380_3 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_380_4 & ( ~ (all_380_1 = % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_380_2 = 0) | ~ (all_380_3 = 0) | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_380_4 = 0) | all_380_0 = 0) % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (728) implies: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (729) aNaturalNumber0(xr) = all_380_4 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (730) aNaturalNumber0(xr) = all_380_3 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (672) with fresh symbols all_384_0, % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_384_1, all_384_2, all_384_3, all_384_4 gives: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (731) doDivides0(all_196_0, all_160_0) = all_384_0 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | doDivides0(all_196_0, xm) = all_384_1 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_196_0) = all_384_4 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_160_0) = all_384_2 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_384_3 & ( ~ (all_384_1 = % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_384_2 = 0) | ~ (all_384_3 = 0) | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_384_4 = 0) | all_384_0 = 0) % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (731) implies: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (732) aNaturalNumber0(xm) = all_384_3 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (651) with fresh symbols all_388_0, % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_388_1, all_388_2, all_388_3, all_388_4 gives: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (733) sdtpldt0(all_310_0, all_302_0) = all_388_1 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtpldt0(xr, all_388_1) = all_388_0 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_310_0) = all_388_3 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_302_0) = all_388_2 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_388_4 & $i(all_388_0) & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_388_1) & ( ~ (all_388_2 = 0) | ~ % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_388_3 = 0) | ~ (all_388_4 = 0) | all_388_0 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = xp) % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (733) implies: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (734) aNaturalNumber0(xr) = all_388_4 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (648) with fresh symbols all_394_0, % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_394_1, all_394_2, all_394_3, all_394_4 gives: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (735) sdtpldt0(all_160_0, all_54_1) = all_394_1 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtpldt0(xm, all_394_1) = all_394_0 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_160_0) = all_394_3 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_54_1) = all_394_2 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_394_4 & $i(all_394_0) & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_394_1) & ( ~ (all_394_2 = 0) | ~ % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_394_3 = 0) | ~ (all_394_4 = 0) | all_394_0 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_54_0) % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (735) implies: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (736) aNaturalNumber0(xm) = all_394_4 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (668) with fresh symbols all_396_0, % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_396_1, all_396_2, all_396_3, all_396_4 gives: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (737) sdtasdt0(all_318_0, xp) = all_396_1 & sdtasdt0(xr, % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_396_1) = all_396_0 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_318_0) = all_396_3 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_396_4 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_396_2 & $i(all_396_0) & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_396_1) & ( ~ (all_396_2 = 0) | ~ % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_396_3 = 0) | ~ (all_396_4 = 0) | all_396_0 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_42_0) % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (737) implies: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (738) aNaturalNumber0(xr) = all_396_4 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (664) with fresh symbols all_398_0, % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_398_1, all_398_2, all_398_3, all_398_4 gives: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (739) sdtasdt0(all_152_0, xm) = all_398_1 & sdtasdt0(xr, % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_398_1) = all_398_0 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_152_0) = all_398_3 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_398_4 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_398_2 & $i(all_398_0) & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_398_1) & ( ~ (all_398_2 = 0) | ~ % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_398_3 = 0) | ~ (all_398_4 = 0) | all_398_0 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_42_0) % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (739) implies: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (740) aNaturalNumber0(xm) = all_398_2 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (741) aNaturalNumber0(xr) = all_398_4 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (742) aNaturalNumber0(all_152_0) = all_398_3 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (643) with fresh symbols all_400_0, % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_400_1, all_400_2, all_400_3, all_400_4 gives: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (743) sdtpldt0(xm, all_400_1) = all_400_0 & sdtpldt0(xn, % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xp) = all_400_1 & aNaturalNumber0(xp) = % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_400_2 & aNaturalNumber0(xm) = all_400_4 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = all_400_3 & $i(all_400_0) & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_400_1) & ( ~ (all_400_2 = 0) | ~ % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_400_3 = 0) | ~ (all_400_4 = 0) | all_400_0 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_54_0) % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (743) implies: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (744) aNaturalNumber0(xm) = all_400_4 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (642) with fresh symbols all_402_0, % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_402_1, all_402_2, all_402_3, all_402_4, % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_402_5, all_402_6, all_402_7, all_402_8 gives: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (745) isPrime0(xp) = all_402_5 & doDivides0(xp, % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_402_4) = all_402_3 & doDivides0(xp, xm) = % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_402_1 & doDivides0(xp, xn) = all_402_0 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | iLess0(all_54_0, all_54_0) = all_402_2 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(xm, xn) = all_402_4 & aNaturalNumber0(xp) % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_402_6 & aNaturalNumber0(xm) = all_402_8 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = all_402_7 & $i(all_402_4) & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_402_2 = 0) | ~ (all_402_3 = 0) | ~ % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_402_5 = 0) | ~ (all_402_6 = 0) | ~ % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_402_7 = 0) | ~ (all_402_8 = 0) | all_402_0 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0 | all_402_1 = 0) % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (745) implies: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (746) aNaturalNumber0(xm) = all_402_8 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (650) with fresh symbols all_408_0, % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_408_1, all_408_2, all_408_3, all_408_4, % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_408_5, all_408_6, all_408_7, all_408_8 gives: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (747) isPrime0(all_302_0) = all_408_5 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | doDivides0(all_302_0, all_408_4) = all_408_3 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | doDivides0(all_302_0, all_310_0) = all_408_0 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | doDivides0(all_302_0, xr) = all_408_1 & iLess0(xp, % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_54_0) = all_408_2 & sdtasdt0(xr, all_310_0) % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_408_4 & aNaturalNumber0(all_310_0) = % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_408_7 & aNaturalNumber0(all_302_0) = all_408_6 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & aNaturalNumber0(xr) = all_408_8 & $i(all_408_4) % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_408_2 = 0) | ~ (all_408_3 = 0) | ~ % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_408_5 = 0) | ~ (all_408_6 = 0) | ~ % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_408_7 = 0) | ~ (all_408_8 = 0) | all_408_0 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0 | all_408_1 = 0) % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (747) implies: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (748) aNaturalNumber0(xr) = all_408_8 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (647) with fresh symbols all_410_0, % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_410_1, all_410_2, all_410_3, all_410_4, % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_410_5, all_410_6, all_410_7, all_410_8 gives: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (749) isPrime0(all_54_1) = all_410_5 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | doDivides0(all_54_1, all_410_4) = all_410_3 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | doDivides0(all_54_1, all_160_0) = all_410_0 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | doDivides0(all_54_1, xm) = all_410_1 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | iLess0(all_54_0, all_54_0) = all_410_2 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtasdt0(xm, all_160_0) = all_410_4 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_160_0) = all_410_7 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_54_1) = all_410_6 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_410_8 & $i(all_410_4) & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_410_2 = 0) | ~ (all_410_3 = 0) | ~ % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_410_5 = 0) | ~ (all_410_6 = 0) | ~ % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_410_7 = 0) | ~ (all_410_8 = 0) | all_410_0 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0 | all_410_1 = 0) % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (749) implies: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (750) aNaturalNumber0(xm) = all_410_8 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (676) gives: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (751) ? [v0: int] : ( ~ (v0 = 0) & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_254_0) = v0) % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (751) with fresh symbol all_418_0 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (752) ~ (all_418_0 = 0) & aNaturalNumber0(all_254_0) = % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_418_0 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (752) implies: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (753) ~ (all_418_0 = 0) % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (754) aNaturalNumber0(all_254_0) = all_418_0 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (674) gives: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (755) xr = sz00 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (312), (755) imply: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (756) $false % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (756) is inconsistent. % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (757) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtlseqdt0(all_254_0, xr) = v2 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_254_0) = v0 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v1 & ( ~ (v1 = 0) | ~ (v0 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | v2 = 0)) % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (757) with fresh symbols all_432_0, % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_432_1, all_432_2 gives: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (758) sdtlseqdt0(all_254_0, xr) = all_432_0 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_254_0) = all_432_2 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_432_1 & ( ~ (all_432_1 = % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_432_2 = 0) | all_432_0 = 0) % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (758) implies: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (759) aNaturalNumber0(all_254_0) = all_432_2 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_432_2, all_254_0, % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (511), (759) gives: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (760) all_432_2 = 0 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_418_0, all_432_2, % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_254_0, simplifying with (754), (759) gives: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (761) all_432_2 = all_418_0 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (760), (761) imply: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (762) all_418_0 = 0 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (753), (762) imply: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (763) $false % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (763) is inconsistent. % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (764) ~ (all_254_0 = sz10) & ~ (all_254_0 = sz00) & ! % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v0: any] : (v0 = all_254_0 | v0 = sz10 | ~ % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (doDivides0(v0, all_254_0) = 0) | ~ $i(v0) | ? % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v1: int] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v1)) % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (764) implies: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (765) ~ (all_254_0 = sz00) % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (766) ~ (all_254_0 = sz10) % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (641) gives: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (767) xk = sz00 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (767) imply: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (768) $false % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (768) is inconsistent. % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (769) xk = sz10 | ? [v0: $i] : (isPrime0(v0) = 0 & % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | doDivides0(v0, xk) = 0 & aNaturalNumber0(v0) = 0 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(v0)) % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (673) gives: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (770) all_254_0 = xr % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (674) gives: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (771) xr = sz00 % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (312), (771) imply: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (772) $false % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (772) is inconsistent. % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (773) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtlseqdt0(all_254_0, xr) = v2 & % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_254_0) = v0 & % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v1 & ( ~ (v1 = 0) | ~ (v0 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | v2 = 0)) % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (773) with fresh symbols all_440_0, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_440_1, all_440_2 gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (774) sdtlseqdt0(all_254_0, xr) = all_440_0 & % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_254_0) = all_440_2 & % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_440_1 & ( ~ (all_440_1 = % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_440_2 = 0) | all_440_0 = 0) % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (774) implies: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (775) aNaturalNumber0(xr) = all_440_1 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (776) aNaturalNumber0(all_254_0) = all_440_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (770), (776) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (777) aNaturalNumber0(xr) = all_440_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (769) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (778) xk = sz10 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (778) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (779) $false % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (779) is inconsistent. % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_378_2, xm, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (7), (727) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (780) all_378_2 = 0 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_340_2, all_378_2, xm, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (727) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (781) all_378_2 = all_340_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_378_2, all_384_3, xm, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (727), (732) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (782) all_384_3 = all_378_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_372_2, all_384_3, xm, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (732) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (783) all_384_3 = all_372_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_372_2, all_394_4, xm, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (736) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (784) all_394_4 = all_372_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_356_2, all_394_4, xm, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (704), (736) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (785) all_394_4 = all_356_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_378_2, all_398_2, xm, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (727), (740) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (786) all_398_2 = all_378_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_374_2, all_398_2, xm, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (740) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (787) all_398_2 = all_374_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_384_3, all_400_4, xm, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (732), (744) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (788) all_400_4 = all_384_3 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_342_2, all_400_4, xm, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (744) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (789) all_400_4 = all_342_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_372_2, all_402_8, xm, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (746) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (790) all_402_8 = all_372_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_334_1, all_402_8, xm, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (679), (746) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (791) all_402_8 = all_334_1 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_384_3, all_410_8, xm, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (732), (750) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (792) all_410_8 = all_384_3 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_338_2, all_410_8, xm, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (686), (750) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (793) all_410_8 = all_338_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_340_1, xr, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (15), (690) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (794) all_340_1 = 0 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_340_1, all_344_2, xr, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (694) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (795) all_344_2 = all_340_1 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_344_2, all_370_2, xr, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (713) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (796) all_370_2 = all_344_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_370_2, all_376_2, xr, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (713), (725) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (797) all_376_2 = all_370_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_370_2, all_380_4, xr, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (713), (729) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (798) all_380_4 = all_370_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_364_2, all_380_4, xr, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (710), (729) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (799) all_380_4 = all_364_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_380_4, all_380_3, xr, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (729), (730) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (800) all_380_3 = all_380_4 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_380_3, all_388_4, xr, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (730), (734) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (801) all_388_4 = all_380_3 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_360_2, all_388_4, xr, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (706), (734) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (802) all_388_4 = all_360_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_376_2, all_396_4, xr, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (738) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (803) all_396_4 = all_376_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_354_2, all_396_4, xr, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (702), (738) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (804) all_396_4 = all_354_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_364_2, all_408_8, xr, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (710), (748) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (805) all_408_8 = all_364_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_350_2, all_408_8, xr, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (698), (748) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (806) all_408_8 = all_350_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_398_4, all_440_2, xr, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (741), (777) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (807) all_440_2 = all_398_4 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_380_4, all_440_2, xr, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (729), (777) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (808) all_440_2 = all_380_4 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_374_1, all_440_2, xr, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (777) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (809) all_440_2 = all_374_1 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_370_2, all_440_1, xr, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (713), (775) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (810) all_440_1 = all_370_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_336_2, all_440_1, xr, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (683), (775) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (811) all_440_1 = all_336_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_72_2, all_352_2, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_0, simplifying with (127), (700) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (812) all_352_2 = all_72_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_348_2, all_352_2, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_0, simplifying with (696), (700) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (813) all_352_2 = all_348_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_348_2, all_372_1, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_0, simplifying with (696), (718) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (814) all_372_1 = all_348_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_338_1, all_372_1, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_0, simplifying with (687), (718) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (815) all_372_1 = all_338_1 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_66_2, all_336_1, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_1, simplifying with (118), (684) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (816) all_336_1 = all_66_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_336_1, all_370_1, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_1, simplifying with (684), (714) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (817) all_370_1 = all_336_1 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_370_1, all_52_1, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (661), (714) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (818) all_370_1 = 0 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_398_3, all_152_0, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (358), (742) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (819) all_398_3 = 0 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_360_1, all_398_3, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_152_0, simplifying with (707), (742) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (820) all_398_3 = all_360_1 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_90_0, all_334_0, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_0, xm, simplifying with (169), (680) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (821) all_334_0 = all_90_0 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_52_5, all_372_0, xm, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_0, simplifying with (80), (719) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (822) all_372_0 = all_52_5 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_52_4, all_364_0, xr, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5, simplifying with (60), (711) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (823) all_364_0 = all_52_4 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_52_0, all_370_0, xr, % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_1, simplifying with (61), (715) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (824) all_370_0 = all_52_0 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (810), (811) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (825) all_370_2 = all_336_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (825) implies: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (826) all_370_2 = all_336_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (807), (809) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (827) all_398_4 = all_374_1 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (807), (808) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (828) all_398_4 = all_380_4 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (792), (793) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (829) all_384_3 = all_338_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (829) implies: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (830) all_384_3 = all_338_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (805), (806) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (831) all_364_2 = all_350_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (831) implies: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (832) all_364_2 = all_350_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (790), (791) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (833) all_372_2 = all_334_1 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (833) implies: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (834) all_372_2 = all_334_1 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (788), (789) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (835) all_384_3 = all_342_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (835) implies: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (836) all_384_3 = all_342_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (786), (787) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (837) all_378_2 = all_374_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (837) implies: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (838) all_378_2 = all_374_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (819), (820) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (839) all_360_1 = 0 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (827), (828) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (840) all_380_4 = all_374_1 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (840) implies: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (841) all_380_4 = all_374_1 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (803), (804) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (842) all_376_2 = all_354_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (842) implies: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (843) all_376_2 = all_354_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (784), (785) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (844) all_372_2 = all_356_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (844) implies: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (845) all_372_2 = all_356_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (801), (802) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (846) all_380_3 = all_360_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (846) implies: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (847) all_380_3 = all_360_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (783), (836) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (848) all_372_2 = all_342_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (848) implies: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (849) all_372_2 = all_342_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (782), (836) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (850) all_378_2 = all_342_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (850) implies: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (851) all_378_2 = all_342_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (830), (836) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (852) all_342_2 = all_338_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (800), (847) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (853) all_380_4 = all_360_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (853) implies: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (854) all_380_4 = all_360_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (799), (841) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (855) all_374_1 = all_364_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (841), (854) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (856) all_374_1 = all_360_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (798), (841) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (857) all_374_1 = all_370_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (780), (838) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (858) all_374_2 = 0 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (781), (838) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (859) all_374_2 = all_340_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (838), (851) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (860) all_374_2 = all_342_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (797), (843) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (861) all_370_2 = all_354_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (861) implies: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (862) all_370_2 = all_354_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (855), (856) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (863) all_364_2 = all_360_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (863) implies: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (864) all_364_2 = all_360_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (856), (857) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (865) all_370_2 = all_360_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (865) implies: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (866) all_370_2 = all_360_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (859), (860) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (867) all_342_2 = all_340_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (867) implies: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (868) all_342_2 = all_340_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (858), (859) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (869) all_340_2 = 0 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (814), (815) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (870) all_348_2 = all_338_1 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (870) implies: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (871) all_348_2 = all_338_1 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (834), (845) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (872) all_356_2 = all_334_1 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (845), (849) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (873) all_356_2 = all_342_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (817), (818) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (874) all_336_1 = 0 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (874) implies: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (875) all_336_1 = 0 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (862), (866) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (876) all_360_2 = all_354_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (876) implies: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (877) all_360_2 = all_354_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (796), (862) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (878) all_354_2 = all_344_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (826), (862) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (879) all_354_2 = all_336_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (832), (864) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (880) all_360_2 = all_350_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (880) implies: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (881) all_360_2 = all_350_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (877), (881) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (882) all_354_2 = all_350_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (882) implies: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (883) all_354_2 = all_350_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (872), (873) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (884) all_342_2 = all_334_1 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (884) implies: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (885) all_342_2 = all_334_1 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (878), (883) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (886) all_350_2 = all_344_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (879), (883) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (887) all_350_2 = all_336_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (812), (813) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (888) all_348_2 = all_72_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (888) implies: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (889) all_348_2 = all_72_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (886), (887) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (890) all_344_2 = all_336_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (890) implies: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (891) all_344_2 = all_336_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (871), (889) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (892) all_338_1 = all_72_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (892) implies: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (893) all_338_1 = all_72_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (795), (891) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (894) all_340_1 = all_336_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (894) implies: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (895) all_340_1 = all_336_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (852), (885) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (896) all_338_2 = all_334_1 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (852), (868) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (897) all_340_2 = all_338_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (897) implies: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (898) all_340_2 = all_338_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (794), (895) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (899) all_336_2 = 0 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (869), (898) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (900) all_338_2 = 0 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (900) implies: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (901) all_338_2 = 0 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (896), (901) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (902) all_334_1 = 0 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (816), (875) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (903) all_66_2 = 0 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (238), (903) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (904) all_80_2 = 0 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (887), (899) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (905) all_350_2 = 0 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (872), (902) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (906) all_356_2 = 0 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (881), (905) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (907) all_360_2 = 0 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (845), (906) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (908) all_372_2 = 0 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (815), (893) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (909) all_372_1 = all_72_2 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (665) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (910) all_152_0 = all_50_0 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (358), (910) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (911) aNaturalNumber0(all_50_0) = 0 % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (146) gives: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (912) ~ (all_80_1 = 0) % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (912) imply: % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (913) $false % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (913) is inconsistent. % 52.31/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (914) ~ (all_80_2 = 0) | all_80_0 = all_52_0 % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (914) gives: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (915) ~ (all_80_2 = 0) % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (904), (915) imply: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (916) $false % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (916) is inconsistent. % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (917) all_80_0 = all_52_0 % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (677), (917) imply: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (918) all_52_0 = all_42_0 % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (918) imply: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (919) sdtasdt0(all_52_1, xr) = all_42_0 % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (64) gives: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (920) ~ (all_52_0 = all_52_4) % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (918), (920) imply: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (921) ~ (all_52_4 = all_42_0) % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (921) implies: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (922) ~ (all_52_4 = all_42_0) % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (708) gives: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (923) ~ (all_360_1 = 0) % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (839), (923) imply: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (924) $false % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (924) is inconsistent. % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (925) ~ (all_360_2 = 0) | all_360_0 = xn % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (681) gives: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (926) ~ (all_334_1 = 0) % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (902), (926) imply: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (927) $false % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (927) is inconsistent. % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (928) all_334_0 = all_52_1 % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (821), (928) imply: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (929) all_90_0 = all_52_1 % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (929) implies: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (930) all_90_0 = all_52_1 % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (925) gives: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (931) ~ (all_360_2 = 0) % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (907), (931) imply: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (932) $false % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (932) is inconsistent. % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_72_2, 0, all_50_0, % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (127), (911) gives: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (933) all_72_2 = 0 % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (909), (933) imply: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (934) all_372_1 = 0 % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (720) gives: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (935) ~ (all_372_1 = 0) % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (934), (935) imply: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (936) $false % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (936) is inconsistent. % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (937) ~ (all_372_2 = 0) | all_372_0 = all_90_0 % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (937) gives: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (938) ~ (all_372_2 = 0) % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (908), (938) imply: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (939) $false % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (939) is inconsistent. % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (940) all_372_0 = all_90_0 % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (822), (940) imply: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (941) all_90_0 = all_52_5 % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (930), (941) imply: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (942) all_52_1 = all_52_5 % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (919), (942) imply: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (943) sdtasdt0(all_52_5, xr) = all_42_0 % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_52_4, all_42_0, xr, % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5, simplifying with (60), (943) gives: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (944) all_52_4 = all_42_0 % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (922), (944) imply: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (945) $false % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (945) is inconsistent. % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (946) all_52_0 = all_52_4 % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (947) ~ (all_52_3 = all_52_4) % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (918), (946) imply: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (948) all_52_4 = all_42_0 % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (948) implies: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (949) all_52_4 = all_42_0 % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (947), (949) imply: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (950) $false % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (950) is inconsistent. % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (951) ? [v0: int] : ( ~ (v0 = 0) & % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_152_0) = v0) % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (951) with fresh symbol all_480_0 % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (952) ~ (all_480_0 = 0) & aNaturalNumber0(all_152_0) = % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_480_0 % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (952) implies: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (953) ~ (all_480_0 = 0) % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (954) aNaturalNumber0(all_152_0) = all_480_0 % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_480_0, all_152_0, % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (358), (954) gives: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (955) all_480_0 = 0 % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (953), (955) imply: % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (956) $false % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (956) is inconsistent. % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.31/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (957) all_254_0 = sz10 | ? [v0: int] : ( ~ (v0 = 0) & % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_254_0) = v0) % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (674) gives: % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (958) xr = sz00 % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (312), (958) imply: % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (959) $false % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (959) is inconsistent. % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (960) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtlseqdt0(all_254_0, xr) = v2 & % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_254_0) = v0 & % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = v1 & ( ~ (v1 = 0) | ~ (v0 % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | v2 = 0)) % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (960) with fresh symbols all_440_0, % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_440_1, all_440_2 gives: % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (961) sdtlseqdt0(all_254_0, xr) = all_440_0 & % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_254_0) = all_440_2 & % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xr) = all_440_1 & ( ~ (all_440_1 = % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_440_2 = 0) | all_440_0 = 0) % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (961) implies: % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (962) aNaturalNumber0(all_254_0) = all_440_2 % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (957) gives: % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (963) all_254_0 = sz10 % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (766), (963) imply: % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (964) $false % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (964) is inconsistent. % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (965) ? [v0: int] : ( ~ (v0 = 0) & % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_254_0) = v0) % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (965) with fresh symbol all_454_0 % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (966) ~ (all_454_0 = 0) & aNaturalNumber0(all_254_0) = % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_454_0 % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (966) implies: % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (967) ~ (all_454_0 = 0) % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (968) aNaturalNumber0(all_254_0) = all_454_0 % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_454_0, all_254_0, % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (511), (968) gives: % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (969) all_454_0 = 0 % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_440_2, all_454_0, % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_254_0, simplifying with (962), (968) gives: % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (970) all_454_0 = all_440_2 % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (969), (970) imply: % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (971) all_440_2 = 0 % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (967), (969) imply: % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (972) $false % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (972) is inconsistent. % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.72/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | End of split % 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | End of split % 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | | % 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | End of split % 52.72/7.77 | | | | | | | | | | | | | | | | | | | | | % 52.72/7.77 | | | | | | | | | | | | | | | | | | | | End of split % 52.72/7.77 | | | | | | | | | | | | | | | | | | | | % 52.72/7.77 | | | | | | | | | | | | | | | | | | | End of split % 52.72/7.77 | | | | | | | | | | | | | | | | | | | % 52.72/7.77 | | | | | | | | | | | | | | | | | | End of split % 52.72/7.77 | | | | | | | | | | | | | | | | | | % 52.72/7.77 | | | | | | | | | | | | | | | | | End of split % 52.72/7.77 | | | | | | | | | | | | | | | | | % 52.72/7.77 | | | | | | | | | | | | | | | | End of split % 52.72/7.77 | | | | | | | | | | | | | | | | % 52.72/7.77 | | | | | | | | | | | | | | | End of split % 52.72/7.77 | | | | | | | | | | | | | | | % 52.72/7.77 | | | | | | | | | | | | | | End of split % 52.72/7.77 | | | | | | | | | | | | | | % 52.72/7.77 | | | | | | | | | | | | | End of split % 52.72/7.77 | | | | | | | | | | | | | % 52.72/7.77 | | | | | | | | | | | | End of split % 52.72/7.77 | | | | | | | | | | | | % 52.72/7.77 | | | | | | | | | | | End of split % 52.72/7.77 | | | | | | | | | | | % 52.72/7.77 | | | | | | | | | | End of split % 52.72/7.77 | | | | | | | | | | % 52.72/7.77 | | | | | | | | | End of split % 52.72/7.77 | | | | | | | | | % 52.72/7.77 | | | | | | | | End of split % 52.72/7.77 | | | | | | | | % 52.72/7.77 | | | | | | | End of split % 52.72/7.77 | | | | | | | % 52.72/7.77 | | | | | | End of split % 52.72/7.77 | | | | | | % 52.72/7.77 | | | | | End of split % 52.72/7.77 | | | | | % 52.72/7.77 | | | | End of split % 52.72/7.77 | | | | % 52.72/7.77 | | | End of split % 52.72/7.77 | | | % 52.72/7.77 | | End of split % 52.72/7.77 | | % 52.72/7.77 | End of split % 52.72/7.77 | % 52.72/7.77 End of proof % 52.72/7.77 % SZS output end Proof for theBenchmark % 52.72/7.77 % 52.72/7.77 7166ms %------------------------------------------------------------------------------