%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : NUM496+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 : n007.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 11:48:10 EDT 2023 % Result : Theorem 14.37s 2.68s % Output : Proof 36.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : NUM496+1 : TPTP v8.1.2. Released v4.0.0. % 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n007.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 16:36:25 EDT 2023 % 0.13/0.34 % 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 ... % 0.19/0.62 Running up to 7 provers in parallel. % 0.19/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.29/1.17 Prover 1: Preprocessing ... % 3.29/1.17 Prover 4: Preprocessing ... % 3.29/1.21 Prover 2: Preprocessing ... % 3.29/1.21 Prover 6: Preprocessing ... % 3.29/1.21 Prover 5: Preprocessing ... % 3.29/1.21 Prover 0: Preprocessing ... % 3.29/1.21 Prover 3: Preprocessing ... % 8.67/1.92 Prover 1: Constructing countermodel ... % 8.67/1.99 Prover 3: Constructing countermodel ... % 8.67/2.01 Prover 6: Proving ... % 9.95/2.05 Prover 5: Constructing countermodel ... % 11.61/2.35 Prover 2: Proving ... % 12.96/2.44 Prover 4: Constructing countermodel ... % 13.74/2.57 Prover 0: Proving ... % 14.37/2.68 Prover 3: proved (2051ms) % 14.37/2.68 % 14.37/2.68 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 14.37/2.68 % 14.37/2.68 Prover 5: stopped % 14.37/2.68 Prover 0: stopped % 14.37/2.69 Prover 2: stopped % 14.37/2.70 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 14.37/2.70 Prover 6: stopped % 14.37/2.70 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 14.37/2.70 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 15.04/2.73 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 15.04/2.73 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 15.55/2.79 Prover 10: Preprocessing ... % 15.55/2.80 Prover 8: Preprocessing ... % 15.55/2.81 Prover 7: Preprocessing ... % 15.55/2.82 Prover 13: Preprocessing ... % 15.55/2.86 Prover 11: Preprocessing ... % 16.62/2.97 Prover 10: Constructing countermodel ... % 17.91/3.09 Prover 8: Warning: ignoring some quantifiers % 17.91/3.11 Prover 8: Constructing countermodel ... % 17.91/3.14 Prover 7: Constructing countermodel ... % 17.91/3.16 Prover 13: Constructing countermodel ... % 20.36/3.45 Prover 11: Constructing countermodel ... % 34.89/5.35 Prover 8: Found proof (size 533) % 34.89/5.35 Prover 8: proved (2661ms) % 34.89/5.35 Prover 1: stopped % 34.89/5.35 Prover 4: stopped % 34.89/5.35 Prover 13: stopped % 34.89/5.35 Prover 7: stopped % 34.89/5.35 Prover 10: stopped % 34.89/5.35 Prover 11: stopped % 34.89/5.35 % 34.89/5.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 34.89/5.35 % 34.89/5.41 % SZS output start Proof for theBenchmark % 35.47/5.41 Assumptions after simplification: % 35.47/5.41 --------------------------------- % 35.47/5.41 % 35.47/5.41 (mAddAsso) % 35.47/5.44 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 35.47/5.44 (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) % 35.47/5.44 | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: $i] : ? % 35.47/5.44 [v9: $i] : (sdtpldt0(v1, v2) = v8 & sdtpldt0(v0, v8) = v9 & % 35.47/5.44 aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0) % 35.47/5.44 = v5 & $i(v9) & $i(v8) & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = % 35.47/5.44 v4))) % 35.47/5.44 % 35.47/5.44 (mAddComm) % 35.47/5.44 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ % 35.47/5.44 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] : % 35.47/5.44 (sdtpldt0(v1, v0) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 % 35.47/5.44 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2))) % 35.47/5.44 % 35.47/5.44 (mDefDiff) % 35.47/5.44 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtmndt0(v1, v0) = v2) | ~ % 35.47/5.44 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : % 35.47/5.44 (sdtlseqdt0(v0, v1) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = % 35.47/5.44 v3 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0))) | ( ! [v3: $i] : (v3 = v2 % 35.47/5.44 | ~ (sdtpldt0(v0, v3) = v1) | ~ $i(v3) | ? [v4: int] : ( ~ (v4 = 0) & % 35.47/5.44 aNaturalNumber0(v3) = v4)) & ! [v3: $i] : ( ~ (sdtpldt0(v0, v2) = v3) % 35.47/5.44 | ~ $i(v2) | (v3 = v1 & aNaturalNumber0(v2) = 0)))) % 35.47/5.44 % 35.47/5.44 (mDefDiv) % 35.47/5.45 ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~ (doDivides0(v0, v1) = v2) | ~ % 35.47/5.45 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : (aNaturalNumber0(v1) = v4 % 35.47/5.45 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))) | (( ~ (v2 = 0) % 35.47/5.45 | ? [v3: $i] : (sdtasdt0(v0, v3) = v1 & aNaturalNumber0(v3) = 0 & % 35.47/5.45 $i(v3))) & (v2 = 0 | ! [v3: $i] : ( ~ (sdtasdt0(v0, v3) = v1) | ~ % 35.47/5.45 $i(v3) | ? [v4: int] : ( ~ (v4 = 0) & aNaturalNumber0(v3) = v4))))) % 35.47/5.45 % 35.47/5.45 (mDefLE) % 35.47/5.45 ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~ (sdtlseqdt0(v0, v1) = v2) | ~ % 35.47/5.45 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : (aNaturalNumber0(v1) = v4 % 35.47/5.45 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))) | (( ~ (v2 = 0) % 35.47/5.45 | ? [v3: $i] : (sdtpldt0(v0, v3) = v1 & aNaturalNumber0(v3) = 0 & % 35.47/5.45 $i(v3))) & (v2 = 0 | ! [v3: $i] : ( ~ (sdtpldt0(v0, v3) = v1) | ~ % 35.47/5.45 $i(v3) | ? [v4: int] : ( ~ (v4 = 0) & aNaturalNumber0(v3) = v4))))) % 35.47/5.45 % 35.47/5.45 (mDefPrime) % 35.47/5.45 $i(sz10) & $i(sz00) & ! [v0: $i] : ! [v1: any] : ( ~ (isPrime0(v0) = v1) | % 35.47/5.45 ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & aNaturalNumber0(v0) = v2) | (( ~ % 35.47/5.45 (v1 = 0) | ( ~ (v0 = sz10) & ~ (v0 = sz00) & ! [v2: $i] : (v2 = v0 | % 35.47/5.45 v2 = sz10 | ~ (doDivides0(v2, v0) = 0) | ~ $i(v2) | ? [v3: int] : % 35.47/5.45 ( ~ (v3 = 0) & aNaturalNumber0(v2) = v3)))) & (v1 = 0 | v0 = sz10 | % 35.47/5.45 v0 = sz00 | ? [v2: $i] : ( ~ (v2 = v0) & ~ (v2 = sz10) & % 35.47/5.45 doDivides0(v2, v0) = 0 & aNaturalNumber0(v2) = 0 & $i(v2))))) % 35.47/5.45 % 35.47/5.45 (mDivSum) % 35.47/5.45 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 % 35.47/5.45 | ~ (doDivides0(v0, v3) = v4) | ~ (sdtpldt0(v1, v2) = v3) | ~ $i(v2) | ~ % 35.47/5.45 $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: % 35.47/5.45 any] : ? [v9: any] : (doDivides0(v0, v2) = v9 & doDivides0(v0, v1) = v8 & % 35.47/5.45 aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0) % 35.47/5.45 = v5 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = % 35.47/5.45 0)))) % 35.47/5.45 % 35.47/5.45 (mDivTrans) % 35.47/5.46 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 35.47/5.46 (doDivides0(v0, v2) = v3) | ~ (doDivides0(v0, v1) = 0) | ~ $i(v2) | ~ % 35.47/5.46 $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: % 35.47/5.46 any] : (doDivides0(v1, v2) = v7 & aNaturalNumber0(v2) = v6 & % 35.47/5.46 aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v7 = 0) | ~ % 35.47/5.46 (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0)))) % 35.47/5.46 % 35.47/5.46 (mLEAsym) % 35.47/5.46 ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (sdtlseqdt0(v0, v1) = 0) | ~ $i(v1) % 35.47/5.46 | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] : (sdtlseqdt0(v1, % 35.47/5.46 v0) = v4 & aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v4 % 35.47/5.46 = 0) | ~ (v3 = 0) | ~ (v2 = 0)))) % 35.47/5.46 % 35.47/5.46 (mMulComm) % 35.47/5.46 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) | ~ % 35.47/5.46 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] : % 35.47/5.46 (sdtasdt0(v1, v0) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 % 35.47/5.46 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2))) % 35.47/5.46 % 35.47/5.46 (mPrimDiv) % 35.47/5.46 $i(sz10) & $i(sz00) & ! [v0: $i] : (v0 = sz10 | v0 = sz00 | ~ % 35.47/5.46 (aNaturalNumber0(v0) = 0) | ~ $i(v0) | ? [v1: $i] : (isPrime0(v1) = 0 & % 35.47/5.46 doDivides0(v1, v0) = 0 & aNaturalNumber0(v1) = 0 & $i(v1))) % 35.47/5.46 % 35.47/5.46 (mSortsB) % 35.47/5.46 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ % 35.47/5.46 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : % 35.47/5.46 (aNaturalNumber0(v2) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = % 35.47/5.46 v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) % 35.47/5.46 % 35.47/5.46 (mSortsB_02) % 35.47/5.46 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) | ~ % 35.47/5.46 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : % 35.47/5.46 (aNaturalNumber0(v2) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = % 35.47/5.46 v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) % 35.47/5.46 % 35.47/5.46 (m__) % 35.47/5.46 $i(xp) & $i(xm) & $i(xn) & ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~ (v0 % 35.47/5.46 = 0) & doDivides0(xp, xm) = v1 & doDivides0(xp, xn) = v0) % 35.47/5.46 % 35.47/5.46 (m__1799) % 35.47/5.46 $i(xp) & $i(xm) & $i(xn) & ? [v0: $i] : ? [v1: $i] : (sdtpldt0(v0, xp) = v1 % 35.47/5.46 & sdtpldt0(xn, xm) = v0 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! % 35.47/5.46 [v4: $i] : ! [v5: $i] : ( ~ (doDivides0(v4, v5) = 0) | ~ (sdtasdt0(v2, v3) % 35.47/5.46 = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ? [v6: any] : ? [v7: any] % 35.47/5.46 : ? [v8: any] : ? [v9: any] : ? [v10: $i] : ? [v11: $i] : ? [v12: % 35.47/5.46 any] : ? [v13: any] : ? [v14: any] : (isPrime0(v4) = v9 & % 35.47/5.46 doDivides0(v4, v3) = v14 & doDivides0(v4, v2) = v13 & iLess0(v11, v1) = % 35.47/5.46 v12 & sdtpldt0(v10, v4) = v11 & sdtpldt0(v2, v3) = v10 & % 35.47/5.46 aNaturalNumber0(v4) = v8 & aNaturalNumber0(v3) = v7 & % 35.47/5.46 aNaturalNumber0(v2) = v6 & $i(v11) & $i(v10) & ( ~ (v12 = 0) | ~ (v9 = % 35.47/5.46 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v14 = 0 | v13 = 0)))) % 35.47/5.46 % 35.47/5.46 (m__1837) % 35.47/5.47 aNaturalNumber0(xp) = 0 & aNaturalNumber0(xm) = 0 & aNaturalNumber0(xn) = 0 & % 35.47/5.47 $i(xp) & $i(xm) & $i(xn) % 35.47/5.47 % 35.47/5.47 (m__1860) % 35.47/5.47 $i(xp) & $i(xm) & $i(xn) & ? [v0: $i] : (isPrime0(xp) = 0 & doDivides0(xp, % 35.47/5.47 v0) = 0 & sdtasdt0(xn, xm) = v0 & $i(v0)) % 35.47/5.47 % 35.47/5.47 (m__1870) % 35.47/5.47 sdtlseqdt0(xp, xn) = 0 & $i(xp) & $i(xn) % 35.47/5.47 % 35.47/5.47 (m__1883) % 35.47/5.47 sdtmndt0(xn, xp) = xr & $i(xr) & $i(xp) & $i(xn) % 35.47/5.47 % 35.47/5.47 (m__1894) % 35.47/5.47 ~ (xr = xn) & sdtlseqdt0(xr, xn) = 0 & $i(xr) & $i(xn) % 35.47/5.47 % 35.47/5.47 (m__1913) % 35.47/5.47 $i(xr) & $i(xp) & $i(xm) & ? [v0: $i] : (doDivides0(xp, v0) = 0 & % 35.47/5.47 sdtasdt0(xr, xm) = v0 & $i(v0)) % 35.47/5.47 % 35.47/5.47 (m__2027) % 35.47/5.47 $i(xr) & $i(xp) & $i(xm) & ? [v0: any] : ? [v1: any] : (doDivides0(xp, xr) = % 35.47/5.47 v0 & doDivides0(xp, xm) = v1 & (v1 = 0 | v0 = 0)) % 35.47/5.47 % 35.47/5.47 (function-axioms) % 35.47/5.47 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 35.47/5.47 (sdtsldt0(v3, v2) = v1) | ~ (sdtsldt0(v3, v2) = v0)) & ! [v0: % 35.47/5.47 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 35.47/5.47 : (v1 = v0 | ~ (doDivides0(v3, v2) = v1) | ~ (doDivides0(v3, v2) = v0)) & ! % 35.47/5.47 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 35.47/5.47 $i] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0)) & ! % 35.47/5.47 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 35.47/5.47 (sdtmndt0(v3, v2) = v1) | ~ (sdtmndt0(v3, v2) = v0)) & ! [v0: % 35.47/5.47 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 35.47/5.47 : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~ (sdtlseqdt0(v3, v2) = v0)) & ! % 35.47/5.47 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 35.47/5.47 (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0)) & ! [v0: $i] : ! % 35.47/5.47 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | % 35.47/5.47 ~ (sdtpldt0(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 35.47/5.47 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (isPrime0(v2) = v1) | ~ % 35.47/5.47 (isPrime0(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 35.47/5.47 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) % 35.47/5.47 | ~ (aNaturalNumber0(v2) = v0)) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 35.47/5.47 MultipleValueBool] : (doDivides0(v1, v0) = v2) & ? [v0: $i] : ? [v1: $i] : % 35.47/5.47 ? [v2: MultipleValueBool] : (iLess0(v1, v0) = v2) & ? [v0: $i] : ? [v1: $i] % 35.47/5.47 : ? [v2: MultipleValueBool] : (sdtlseqdt0(v1, v0) = v2) & ? [v0: $i] : ? % 35.47/5.47 [v1: $i] : ? [v2: $i] : (sdtsldt0(v1, v0) = v2 & $i(v2)) & ? [v0: $i] : ? % 35.47/5.47 [v1: $i] : ? [v2: $i] : (sdtmndt0(v1, v0) = v2 & $i(v2)) & ? [v0: $i] : ? % 35.47/5.47 [v1: $i] : ? [v2: $i] : (sdtasdt0(v1, v0) = v2 & $i(v2)) & ? [v0: $i] : ? % 35.47/5.47 [v1: $i] : ? [v2: $i] : (sdtpldt0(v1, v0) = v2 & $i(v2)) & ? [v0: $i] : ? % 35.47/5.47 [v1: MultipleValueBool] : (isPrime0(v0) = v1) & ? [v0: $i] : ? [v1: % 35.47/5.47 MultipleValueBool] : (aNaturalNumber0(v0) = v1) % 35.47/5.47 % 35.47/5.47 Further assumptions not needed in the proof: % 35.47/5.47 -------------------------------------------- % 35.47/5.47 mAMDistr, mAddCanc, mDefQuot, mDivAsso, mDivLE, mDivMin, mIH, mIH_03, mLENTr, % 35.47/5.47 mLERefl, mLETotal, mLETran, mMonAdd, mMonMul, mMonMul2, mMulAsso, mMulCanc, % 35.47/5.47 mNatSort, mSortsC, mSortsC_01, mZeroAdd, mZeroMul, m_AddZero, m_MulUnit, % 35.47/5.47 m_MulZero % 35.47/5.47 % 35.47/5.47 Those formulas are unsatisfiable: % 35.47/5.47 --------------------------------- % 35.47/5.47 % 35.47/5.47 Begin of proof % 35.47/5.47 | % 35.47/5.47 | ALPHA: (mDefPrime) implies: % 35.47/5.48 | (1) ! [v0: $i] : ! [v1: any] : ( ~ (isPrime0(v0) = v1) | ~ $i(v0) | ? % 35.47/5.48 | [v2: int] : ( ~ (v2 = 0) & aNaturalNumber0(v0) = v2) | (( ~ (v1 = 0) % 35.47/5.48 | | ( ~ (v0 = sz10) & ~ (v0 = sz00) & ! [v2: $i] : (v2 = v0 | v2 % 35.47/5.48 | = sz10 | ~ (doDivides0(v2, v0) = 0) | ~ $i(v2) | ? [v3: % 35.47/5.48 | int] : ( ~ (v3 = 0) & aNaturalNumber0(v2) = v3)))) & (v1 = % 35.47/5.48 | 0 | v0 = sz10 | v0 = sz00 | ? [v2: $i] : ( ~ (v2 = v0) & ~ (v2 % 35.47/5.48 | = sz10) & doDivides0(v2, v0) = 0 & aNaturalNumber0(v2) = 0 & % 35.47/5.48 | $i(v2))))) % 35.47/5.48 | % 35.47/5.48 | ALPHA: (mPrimDiv) implies: % 35.47/5.48 | (2) ! [v0: $i] : (v0 = sz10 | v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) | % 35.47/5.48 | ~ $i(v0) | ? [v1: $i] : (isPrime0(v1) = 0 & doDivides0(v1, v0) = 0 & % 35.47/5.48 | aNaturalNumber0(v1) = 0 & $i(v1))) % 35.47/5.48 | % 35.47/5.48 | ALPHA: (m__1837) implies: % 35.47/5.48 | (3) aNaturalNumber0(xn) = 0 % 35.47/5.48 | (4) aNaturalNumber0(xm) = 0 % 35.47/5.48 | (5) aNaturalNumber0(xp) = 0 % 35.47/5.48 | % 35.47/5.48 | ALPHA: (m__1799) implies: % 35.47/5.48 | (6) ? [v0: $i] : ? [v1: $i] : (sdtpldt0(v0, xp) = v1 & sdtpldt0(xn, xm) = % 35.47/5.48 | v0 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! % 35.47/5.48 | [v5: $i] : ( ~ (doDivides0(v4, v5) = 0) | ~ (sdtasdt0(v2, v3) = v5) % 35.47/5.48 | | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ? [v6: any] : ? [v7: any] : % 35.47/5.48 | ? [v8: any] : ? [v9: any] : ? [v10: $i] : ? [v11: $i] : ? % 35.47/5.48 | [v12: any] : ? [v13: any] : ? [v14: any] : (isPrime0(v4) = v9 & % 35.47/5.48 | doDivides0(v4, v3) = v14 & doDivides0(v4, v2) = v13 & iLess0(v11, % 35.47/5.48 | v1) = v12 & sdtpldt0(v10, v4) = v11 & sdtpldt0(v2, v3) = v10 & % 35.47/5.48 | aNaturalNumber0(v4) = v8 & aNaturalNumber0(v3) = v7 & % 35.47/5.48 | aNaturalNumber0(v2) = v6 & $i(v11) & $i(v10) & ( ~ (v12 = 0) | ~ % 35.47/5.48 | (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v14 = 0 | % 35.47/5.48 | v13 = 0)))) % 35.47/5.48 | % 35.47/5.48 | ALPHA: (m__1860) implies: % 35.47/5.48 | (7) ? [v0: $i] : (isPrime0(xp) = 0 & doDivides0(xp, v0) = 0 & sdtasdt0(xn, % 35.47/5.48 | xm) = v0 & $i(v0)) % 35.47/5.48 | % 35.47/5.48 | ALPHA: (m__1870) implies: % 35.47/5.48 | (8) sdtlseqdt0(xp, xn) = 0 % 35.47/5.48 | % 35.47/5.48 | ALPHA: (m__1883) implies: % 35.47/5.48 | (9) sdtmndt0(xn, xp) = xr % 35.47/5.48 | % 35.47/5.48 | ALPHA: (m__1894) implies: % 35.47/5.48 | (10) ~ (xr = xn) % 35.47/5.48 | (11) sdtlseqdt0(xr, xn) = 0 % 35.47/5.48 | % 35.47/5.48 | ALPHA: (m__1913) implies: % 35.47/5.48 | (12) ? [v0: $i] : (doDivides0(xp, v0) = 0 & sdtasdt0(xr, xm) = v0 & % 35.47/5.48 | $i(v0)) % 35.47/5.48 | % 35.47/5.48 | ALPHA: (m__2027) implies: % 35.47/5.48 | (13) $i(xr) % 35.47/5.49 | (14) ? [v0: any] : ? [v1: any] : (doDivides0(xp, xr) = v0 & % 35.47/5.49 | doDivides0(xp, xm) = v1 & (v1 = 0 | v0 = 0)) % 35.47/5.49 | % 35.47/5.49 | ALPHA: (m__) implies: % 35.47/5.49 | (15) $i(xn) % 35.47/5.49 | (16) $i(xm) % 35.47/5.49 | (17) $i(xp) % 35.47/5.49 | (18) ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~ (v0 = 0) & % 35.47/5.49 | doDivides0(xp, xm) = v1 & doDivides0(xp, xn) = v0) % 35.47/5.49 | % 35.47/5.49 | ALPHA: (function-axioms) implies: % 35.47/5.49 | (19) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 35.47/5.49 | : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) = % 35.47/5.49 | v0)) % 35.47/5.49 | (20) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 35.47/5.49 | (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) % 35.47/5.49 | (21) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 35.47/5.49 | : ! [v3: $i] : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~ % 35.47/5.49 | (sdtlseqdt0(v3, v2) = v0)) % 35.47/5.49 | (22) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 35.47/5.49 | : ! [v3: $i] : (v1 = v0 | ~ (doDivides0(v3, v2) = v1) | ~ % 35.47/5.49 | (doDivides0(v3, v2) = v0)) % 35.47/5.49 | % 35.47/5.49 | DELTA: instantiating (12) with fresh symbol all_56_0 gives: % 35.47/5.49 | (23) doDivides0(xp, all_56_0) = 0 & sdtasdt0(xr, xm) = all_56_0 & % 35.47/5.49 | $i(all_56_0) % 35.47/5.49 | % 35.47/5.49 | ALPHA: (23) implies: % 35.47/5.49 | (24) $i(all_56_0) % 35.47/5.49 | (25) sdtasdt0(xr, xm) = all_56_0 % 35.47/5.49 | (26) doDivides0(xp, all_56_0) = 0 % 35.47/5.49 | % 35.47/5.49 | DELTA: instantiating (18) with fresh symbols all_58_0, all_58_1 gives: % 35.47/5.49 | (27) ~ (all_58_0 = 0) & ~ (all_58_1 = 0) & doDivides0(xp, xm) = all_58_0 % 35.47/5.49 | & doDivides0(xp, xn) = all_58_1 % 35.47/5.49 | % 35.47/5.49 | ALPHA: (27) implies: % 35.47/5.49 | (28) ~ (all_58_1 = 0) % 35.47/5.49 | (29) ~ (all_58_0 = 0) % 35.47/5.49 | (30) doDivides0(xp, xn) = all_58_1 % 35.47/5.49 | (31) doDivides0(xp, xm) = all_58_0 % 35.47/5.49 | % 35.47/5.49 | DELTA: instantiating (14) with fresh symbols all_60_0, all_60_1 gives: % 35.47/5.49 | (32) doDivides0(xp, xr) = all_60_1 & doDivides0(xp, xm) = all_60_0 & % 35.47/5.49 | (all_60_0 = 0 | all_60_1 = 0) % 35.47/5.49 | % 35.47/5.49 | ALPHA: (32) implies: % 35.47/5.49 | (33) doDivides0(xp, xm) = all_60_0 % 35.47/5.49 | (34) doDivides0(xp, xr) = all_60_1 % 35.47/5.49 | (35) all_60_0 = 0 | all_60_1 = 0 % 35.47/5.49 | % 35.47/5.49 | DELTA: instantiating (7) with fresh symbol all_62_0 gives: % 35.47/5.49 | (36) isPrime0(xp) = 0 & doDivides0(xp, all_62_0) = 0 & sdtasdt0(xn, xm) = % 35.47/5.49 | all_62_0 & $i(all_62_0) % 35.47/5.49 | % 35.47/5.49 | ALPHA: (36) implies: % 35.47/5.49 | (37) $i(all_62_0) % 35.47/5.49 | (38) sdtasdt0(xn, xm) = all_62_0 % 35.47/5.49 | (39) doDivides0(xp, all_62_0) = 0 % 35.47/5.49 | (40) isPrime0(xp) = 0 % 35.47/5.49 | % 35.47/5.49 | DELTA: instantiating (6) with fresh symbols all_64_0, all_64_1 gives: % 35.87/5.50 | (41) sdtpldt0(all_64_1, xp) = all_64_0 & sdtpldt0(xn, xm) = all_64_1 & % 35.87/5.50 | $i(all_64_0) & $i(all_64_1) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 35.87/5.50 | : ! [v3: $i] : ( ~ (doDivides0(v2, v3) = 0) | ~ (sdtasdt0(v0, v1) = % 35.87/5.50 | v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: % 35.87/5.50 | any] : ? [v6: any] : ? [v7: any] : ? [v8: $i] : ? [v9: $i] : % 35.87/5.50 | ? [v10: any] : ? [v11: any] : ? [v12: any] : (isPrime0(v2) = v7 & % 35.87/5.50 | doDivides0(v2, v1) = v12 & doDivides0(v2, v0) = v11 & iLess0(v9, % 35.87/5.50 | all_64_0) = v10 & sdtpldt0(v8, v2) = v9 & sdtpldt0(v0, v1) = v8 % 35.87/5.50 | & aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 & % 35.87/5.50 | aNaturalNumber0(v0) = v4 & $i(v9) & $i(v8) & ( ~ (v10 = 0) | ~ % 35.87/5.50 | (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | v12 = 0 | % 35.87/5.50 | v11 = 0))) % 35.87/5.50 | % 35.87/5.50 | ALPHA: (41) implies: % 35.87/5.50 | (42) $i(all_64_1) % 35.87/5.50 | (43) sdtpldt0(xn, xm) = all_64_1 % 35.87/5.50 | (44) sdtpldt0(all_64_1, xp) = all_64_0 % 35.87/5.50 | (45) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 35.87/5.50 | (doDivides0(v2, v3) = 0) | ~ (sdtasdt0(v0, v1) = v3) | ~ $i(v2) | % 35.87/5.50 | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: any] : % 35.87/5.50 | ? [v7: any] : ? [v8: $i] : ? [v9: $i] : ? [v10: any] : ? [v11: % 35.87/5.50 | any] : ? [v12: any] : (isPrime0(v2) = v7 & doDivides0(v2, v1) = % 35.87/5.50 | v12 & doDivides0(v2, v0) = v11 & iLess0(v9, all_64_0) = v10 & % 35.87/5.50 | sdtpldt0(v8, v2) = v9 & sdtpldt0(v0, v1) = v8 & % 35.87/5.50 | aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 & % 35.87/5.50 | aNaturalNumber0(v0) = v4 & $i(v9) & $i(v8) & ( ~ (v10 = 0) | ~ % 35.87/5.50 | (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | v12 = 0 | % 35.87/5.50 | v11 = 0))) % 35.87/5.50 | % 35.87/5.50 | GROUND_INST: instantiating (22) with all_58_0, all_60_0, xm, xp, simplifying % 35.87/5.50 | with (31), (33) gives: % 35.87/5.50 | (46) all_60_0 = all_58_0 % 35.87/5.50 | % 35.87/5.50 | BETA: splitting (35) gives: % 35.87/5.50 | % 35.87/5.50 | Case 1: % 35.87/5.50 | | % 35.87/5.50 | | (47) all_60_0 = 0 % 35.87/5.50 | | % 35.87/5.50 | | COMBINE_EQS: (46), (47) imply: % 35.87/5.50 | | (48) all_58_0 = 0 % 35.87/5.50 | | % 35.87/5.50 | | REDUCE: (29), (48) imply: % 35.87/5.50 | | (49) $false % 35.87/5.50 | | % 35.87/5.50 | | CLOSE: (49) is inconsistent. % 35.87/5.50 | | % 35.87/5.50 | Case 2: % 35.87/5.50 | | % 35.87/5.50 | | (50) all_60_1 = 0 % 35.87/5.50 | | (51) ~ (all_60_0 = 0) % 35.87/5.50 | | % 35.87/5.50 | | REDUCE: (34), (50) imply: % 35.87/5.50 | | (52) doDivides0(xp, xr) = 0 % 35.87/5.50 | | % 35.87/5.50 | | GROUND_INST: instantiating (2) with xp, simplifying with (5), (17) gives: % 35.87/5.50 | | (53) xp = sz10 | xp = sz00 | ? [v0: $i] : (isPrime0(v0) = 0 & % 35.87/5.50 | | doDivides0(v0, xp) = 0 & aNaturalNumber0(v0) = 0 & $i(v0)) % 35.87/5.50 | | % 35.87/5.50 | | GROUND_INST: instantiating (mAddComm) with xn, xm, all_64_1, simplifying % 35.87/5.50 | | with (15), (16), (43) gives: % 35.87/5.50 | | (54) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtpldt0(xm, xn) = v2 & % 35.87/5.50 | | aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & $i(v2) & ( ~ % 35.87/5.50 | | (v1 = 0) | ~ (v0 = 0) | v2 = all_64_1)) % 35.87/5.50 | | % 35.87/5.51 | | GROUND_INST: instantiating (mSortsB) with xn, xm, all_64_1, simplifying with % 35.87/5.51 | | (15), (16), (43) gives: % 35.87/5.51 | | (55) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 35.87/5.51 | | (aNaturalNumber0(all_64_1) = v2 & aNaturalNumber0(xm) = v1 & % 35.87/5.51 | | aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 35.87/5.51 | | % 35.87/5.51 | | GROUND_INST: instantiating (mAddAsso) with xn, xm, xp, all_64_1, all_64_0, % 35.87/5.51 | | simplifying with (15), (16), (17), (43), (44) gives: % 35.87/5.51 | | (56) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4: % 35.87/5.51 | | $i] : (sdtpldt0(xm, xp) = v3 & sdtpldt0(xn, v3) = v4 & % 35.87/5.51 | | aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = v1 & % 35.87/5.51 | | aNaturalNumber0(xn) = v0 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 % 35.87/5.51 | | = 0) | ~ (v0 = 0) | v4 = all_64_0)) % 35.87/5.51 | | % 35.87/5.51 | | GROUND_INST: instantiating (mAddComm) with all_64_1, xp, all_64_0, % 35.87/5.51 | | simplifying with (17), (42), (44) gives: % 35.87/5.51 | | (57) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtpldt0(xp, all_64_1) % 35.87/5.51 | | = v2 & aNaturalNumber0(all_64_1) = v0 & aNaturalNumber0(xp) = v1 & % 35.87/5.51 | | $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_64_0)) % 35.87/5.51 | | % 35.87/5.51 | | GROUND_INST: instantiating (mSortsB) with all_64_1, xp, all_64_0, % 35.87/5.51 | | simplifying with (17), (42), (44) gives: % 35.87/5.51 | | (58) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 35.87/5.51 | | (aNaturalNumber0(all_64_0) = v2 & aNaturalNumber0(all_64_1) = v0 & % 35.87/5.51 | | aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 35.87/5.51 | | % 35.87/5.51 | | GROUND_INST: instantiating (mMulComm) with xn, xm, all_62_0, simplifying % 35.87/5.51 | | with (15), (16), (38) gives: % 35.87/5.51 | | (59) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtasdt0(xm, xn) = v2 & % 35.87/5.51 | | aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & $i(v2) & ( ~ % 35.87/5.51 | | (v1 = 0) | ~ (v0 = 0) | v2 = all_62_0)) % 35.87/5.51 | | % 35.87/5.51 | | GROUND_INST: instantiating (mSortsB_02) with xn, xm, all_62_0, simplifying % 35.87/5.51 | | with (15), (16), (38) gives: % 35.87/5.51 | | (60) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 35.87/5.51 | | (aNaturalNumber0(all_62_0) = v2 & aNaturalNumber0(xm) = v1 & % 35.87/5.51 | | aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 35.87/5.51 | | % 35.87/5.51 | | GROUND_INST: instantiating (mMulComm) with xr, xm, all_56_0, simplifying % 35.87/5.51 | | with (13), (16), (25) gives: % 35.87/5.51 | | (61) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtasdt0(xm, xr) = v2 & % 35.87/5.51 | | aNaturalNumber0(xr) = v0 & aNaturalNumber0(xm) = v1 & $i(v2) & ( ~ % 35.87/5.51 | | (v1 = 0) | ~ (v0 = 0) | v2 = all_56_0)) % 35.87/5.51 | | % 35.87/5.51 | | GROUND_INST: instantiating (mSortsB_02) with xr, xm, all_56_0, simplifying % 35.87/5.51 | | with (13), (16), (25) gives: % 35.87/5.51 | | (62) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 35.87/5.51 | | (aNaturalNumber0(all_56_0) = v2 & aNaturalNumber0(xr) = v0 & % 35.87/5.51 | | aNaturalNumber0(xm) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 35.87/5.51 | | % 35.87/5.51 | | GROUND_INST: instantiating (mDefLE) with xp, xn, 0, simplifying with (8), % 35.87/5.51 | | (15), (17) gives: % 35.87/5.51 | | (63) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xp) = v0 & % 35.87/5.51 | | aNaturalNumber0(xn) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))) | ? [v0: % 35.87/5.51 | | $i] : (sdtpldt0(xp, v0) = xn & aNaturalNumber0(v0) = 0 & $i(v0)) % 35.87/5.51 | | % 35.87/5.51 | | GROUND_INST: instantiating (mLEAsym) with xr, xn, simplifying with (11), % 35.87/5.51 | | (13), (15) gives: % 35.87/5.51 | | (64) xr = xn | ? [v0: any] : ? [v1: any] : ? [v2: any] : % 35.87/5.51 | | (sdtlseqdt0(xn, xr) = v2 & aNaturalNumber0(xr) = v0 & % 35.87/5.51 | | aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = % 35.87/5.51 | | 0))) % 35.87/5.51 | | % 35.87/5.51 | | GROUND_INST: instantiating (mDefDiff) with xp, xn, xr, simplifying with (9), % 35.87/5.51 | | (15), (17) gives: % 35.87/5.52 | | (65) ? [v0: any] : ? [v1: any] : ? [v2: any] : (sdtlseqdt0(xp, xn) = % 35.87/5.52 | | v2 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 % 35.87/5.52 | | = 0) | ~ (v1 = 0) | ~ (v0 = 0))) | ( ! [v0: $i] : (v0 = xr | % 35.87/5.52 | | ~ (sdtpldt0(xp, v0) = xn) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 % 35.87/5.52 | | = 0) & aNaturalNumber0(v0) = v1)) & ! [v0: $i] : ( ~ % 35.87/5.52 | | (sdtpldt0(xp, xr) = v0) | ~ $i(xr) | (v0 = xn & % 35.87/5.52 | | aNaturalNumber0(xr) = 0))) % 35.87/5.52 | | % 35.87/5.52 | | GROUND_INST: instantiating (mDivTrans) with xp, xr, xm, all_58_0, % 35.87/5.52 | | simplifying with (13), (16), (17), (31), (52) gives: % 35.87/5.52 | | (66) all_58_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 35.87/5.52 | | any] : (doDivides0(xr, xm) = v3 & aNaturalNumber0(xr) = v1 & % 35.87/5.52 | | aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v2 & ( ~ (v3 = 0) % 35.87/5.52 | | | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 35.87/5.52 | | % 35.87/5.52 | | GROUND_INST: instantiating (mDivTrans) with xp, xr, xn, all_58_1, % 35.87/5.52 | | simplifying with (13), (15), (17), (30), (52) gives: % 35.87/5.52 | | (67) all_58_1 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 35.87/5.52 | | any] : (doDivides0(xr, xn) = v3 & aNaturalNumber0(xr) = v1 & % 35.87/5.52 | | aNaturalNumber0(xp) = v0 & aNaturalNumber0(xn) = v2 & ( ~ (v3 = 0) % 35.87/5.52 | | | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 35.87/5.52 | | % 35.87/5.52 | | GROUND_INST: instantiating (mDivTrans) with xp, all_56_0, xm, all_58_0, % 35.87/5.52 | | simplifying with (16), (17), (24), (26), (31) gives: % 35.87/5.52 | | (68) all_58_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 35.87/5.52 | | any] : (doDivides0(all_56_0, xm) = v3 & aNaturalNumber0(all_56_0) % 35.87/5.52 | | = v1 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v2 & ( ~ % 35.87/5.52 | | (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 35.87/5.52 | | % 35.87/5.52 | | GROUND_INST: instantiating (mDivTrans) with xp, all_56_0, xn, all_58_1, % 35.87/5.52 | | simplifying with (15), (17), (24), (26), (30) gives: % 35.87/5.52 | | (69) all_58_1 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 35.87/5.52 | | any] : (doDivides0(all_56_0, xn) = v3 & aNaturalNumber0(all_56_0) % 35.87/5.52 | | = v1 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xn) = v2 & ( ~ % 35.87/5.52 | | (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 35.87/5.52 | | % 35.87/5.52 | | GROUND_INST: instantiating (45) with xr, xm, xp, all_56_0, simplifying with % 35.87/5.52 | | (13), (16), (17), (25), (26) gives: % 35.87/5.52 | | (70) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4: % 35.87/5.52 | | $i] : ? [v5: $i] : ? [v6: any] : ? [v7: any] : ? [v8: any] : % 35.87/5.52 | | (isPrime0(xp) = v3 & doDivides0(xp, xr) = v7 & doDivides0(xp, xm) = % 35.87/5.52 | | v8 & iLess0(v5, all_64_0) = v6 & sdtpldt0(v4, xp) = v5 & % 35.87/5.52 | | sdtpldt0(xr, xm) = v4 & aNaturalNumber0(xr) = v0 & % 35.87/5.52 | | aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = v1 & $i(v5) & % 35.87/5.52 | | $i(v4) & ( ~ (v6 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | % 35.87/5.52 | | ~ (v0 = 0) | v8 = 0 | v7 = 0)) % 35.87/5.52 | | % 35.87/5.52 | | GROUND_INST: instantiating (mDivTrans) with xp, all_62_0, xm, all_58_0, % 35.87/5.52 | | simplifying with (16), (17), (31), (37), (39) gives: % 35.87/5.52 | | (71) all_58_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 35.87/5.52 | | any] : (doDivides0(all_62_0, xm) = v3 & aNaturalNumber0(all_62_0) % 35.87/5.52 | | = v1 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v2 & ( ~ % 35.87/5.52 | | (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 35.87/5.52 | | % 35.87/5.52 | | GROUND_INST: instantiating (mDivTrans) with xp, all_62_0, xn, all_58_1, % 35.87/5.52 | | simplifying with (15), (17), (30), (37), (39) gives: % 35.87/5.52 | | (72) all_58_1 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 35.87/5.52 | | any] : (doDivides0(all_62_0, xn) = v3 & aNaturalNumber0(all_62_0) % 35.87/5.52 | | = v1 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xn) = v2 & ( ~ % 35.87/5.52 | | (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 35.87/5.52 | | % 35.87/5.52 | | GROUND_INST: instantiating (45) with xn, xm, xp, all_62_0, simplifying with % 35.87/5.52 | | (15), (16), (17), (38), (39) gives: % 35.87/5.52 | | (73) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4: % 35.87/5.52 | | $i] : ? [v5: $i] : ? [v6: any] : ? [v7: any] : ? [v8: any] : % 35.87/5.52 | | (isPrime0(xp) = v3 & doDivides0(xp, xm) = v8 & doDivides0(xp, xn) = % 35.87/5.52 | | v7 & iLess0(v5, all_64_0) = v6 & sdtpldt0(v4, xp) = v5 & % 35.87/5.52 | | sdtpldt0(xn, xm) = v4 & aNaturalNumber0(xp) = v2 & % 35.87/5.52 | | aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & $i(v5) & % 35.87/5.52 | | $i(v4) & ( ~ (v6 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | % 35.87/5.52 | | ~ (v0 = 0) | v8 = 0 | v7 = 0)) % 35.87/5.52 | | % 35.87/5.52 | | GROUND_INST: instantiating (mDefDiv) with xp, all_62_0, 0, simplifying with % 35.87/5.52 | | (17), (37), (39) gives: % 35.87/5.52 | | (74) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(all_62_0) = v1 & % 35.87/5.52 | | aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | ? [v0: % 35.87/5.52 | | $i] : (sdtasdt0(xp, v0) = all_62_0 & aNaturalNumber0(v0) = 0 & % 35.87/5.52 | | $i(v0)) % 35.87/5.52 | | % 35.87/5.52 | | GROUND_INST: instantiating (1) with xp, 0, simplifying with (17), (40) % 35.87/5.53 | | gives: % 35.87/5.53 | | (75) ? [v0: int] : ( ~ (v0 = 0) & aNaturalNumber0(xp) = v0) | ( ~ (xp = % 35.87/5.53 | | sz10) & ~ (xp = sz00) & ! [v0: $i] : (v0 = xp | v0 = sz10 | ~ % 35.87/5.53 | | (doDivides0(v0, xp) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = % 35.87/5.53 | | 0) & aNaturalNumber0(v0) = v1))) % 35.87/5.53 | | % 35.87/5.53 | | DELTA: instantiating (62) with fresh symbols all_80_0, all_80_1, all_80_2 % 35.87/5.53 | | gives: % 35.87/5.53 | | (76) aNaturalNumber0(all_56_0) = all_80_0 & aNaturalNumber0(xr) = % 35.87/5.53 | | all_80_2 & aNaturalNumber0(xm) = all_80_1 & ( ~ (all_80_1 = 0) | ~ % 35.87/5.53 | | (all_80_2 = 0) | all_80_0 = 0) % 35.87/5.53 | | % 35.87/5.53 | | ALPHA: (76) implies: % 35.87/5.53 | | (77) aNaturalNumber0(xm) = all_80_1 % 35.87/5.53 | | % 35.87/5.53 | | DELTA: instantiating (60) with fresh symbols all_82_0, all_82_1, all_82_2 % 35.87/5.53 | | gives: % 35.87/5.53 | | (78) aNaturalNumber0(all_62_0) = all_82_0 & aNaturalNumber0(xm) = % 35.87/5.53 | | all_82_1 & aNaturalNumber0(xn) = all_82_2 & ( ~ (all_82_1 = 0) | ~ % 35.87/5.53 | | (all_82_2 = 0) | all_82_0 = 0) % 35.87/5.53 | | % 35.87/5.53 | | ALPHA: (78) implies: % 35.87/5.53 | | (79) aNaturalNumber0(xn) = all_82_2 % 35.87/5.53 | | (80) aNaturalNumber0(xm) = all_82_1 % 35.87/5.53 | | (81) aNaturalNumber0(all_62_0) = all_82_0 % 35.87/5.53 | | (82) ~ (all_82_1 = 0) | ~ (all_82_2 = 0) | all_82_0 = 0 % 35.87/5.53 | | % 35.87/5.53 | | DELTA: instantiating (58) with fresh symbols all_84_0, all_84_1, all_84_2 % 35.87/5.53 | | gives: % 35.87/5.53 | | (83) aNaturalNumber0(all_64_0) = all_84_0 & aNaturalNumber0(all_64_1) = % 35.87/5.53 | | all_84_2 & aNaturalNumber0(xp) = all_84_1 & ( ~ (all_84_1 = 0) | ~ % 35.87/5.53 | | (all_84_2 = 0) | all_84_0 = 0) % 35.87/5.53 | | % 35.87/5.53 | | ALPHA: (83) implies: % 35.87/5.53 | | (84) aNaturalNumber0(xp) = all_84_1 % 35.87/5.53 | | % 35.87/5.53 | | DELTA: instantiating (55) with fresh symbols all_86_0, all_86_1, all_86_2 % 35.87/5.53 | | gives: % 35.87/5.53 | | (85) aNaturalNumber0(all_64_1) = all_86_0 & aNaturalNumber0(xm) = % 35.87/5.53 | | all_86_1 & aNaturalNumber0(xn) = all_86_2 & ( ~ (all_86_1 = 0) | ~ % 35.87/5.53 | | (all_86_2 = 0) | all_86_0 = 0) % 35.87/5.53 | | % 35.87/5.53 | | ALPHA: (85) implies: % 35.87/5.53 | | (86) aNaturalNumber0(xn) = all_86_2 % 35.87/5.53 | | (87) aNaturalNumber0(xm) = all_86_1 % 35.87/5.53 | | % 35.87/5.53 | | DELTA: instantiating (54) with fresh symbols all_88_0, all_88_1, all_88_2 % 35.87/5.53 | | gives: % 35.87/5.53 | | (88) sdtpldt0(xm, xn) = all_88_0 & aNaturalNumber0(xm) = all_88_1 & % 35.87/5.53 | | aNaturalNumber0(xn) = all_88_2 & $i(all_88_0) & ( ~ (all_88_1 = 0) | % 35.87/5.53 | | ~ (all_88_2 = 0) | all_88_0 = all_64_1) % 35.87/5.53 | | % 35.87/5.53 | | ALPHA: (88) implies: % 35.87/5.53 | | (89) aNaturalNumber0(xn) = all_88_2 % 35.87/5.53 | | (90) aNaturalNumber0(xm) = all_88_1 % 35.87/5.53 | | (91) sdtpldt0(xm, xn) = all_88_0 % 35.87/5.53 | | (92) ~ (all_88_1 = 0) | ~ (all_88_2 = 0) | all_88_0 = all_64_1 % 35.87/5.53 | | % 35.87/5.53 | | DELTA: instantiating (61) with fresh symbols all_90_0, all_90_1, all_90_2 % 35.87/5.53 | | gives: % 35.87/5.53 | | (93) sdtasdt0(xm, xr) = all_90_0 & aNaturalNumber0(xr) = all_90_2 & % 35.87/5.53 | | aNaturalNumber0(xm) = all_90_1 & $i(all_90_0) & ( ~ (all_90_1 = 0) | % 35.87/5.53 | | ~ (all_90_2 = 0) | all_90_0 = all_56_0) % 35.87/5.53 | | % 35.87/5.53 | | ALPHA: (93) implies: % 35.87/5.53 | | (94) aNaturalNumber0(xm) = all_90_1 % 35.87/5.53 | | % 35.87/5.53 | | DELTA: instantiating (59) with fresh symbols all_92_0, all_92_1, all_92_2 % 35.87/5.53 | | gives: % 35.87/5.53 | | (95) sdtasdt0(xm, xn) = all_92_0 & aNaturalNumber0(xm) = all_92_1 & % 35.87/5.53 | | aNaturalNumber0(xn) = all_92_2 & $i(all_92_0) & ( ~ (all_92_1 = 0) | % 35.87/5.53 | | ~ (all_92_2 = 0) | all_92_0 = all_62_0) % 35.87/5.53 | | % 35.87/5.53 | | ALPHA: (95) implies: % 35.87/5.53 | | (96) aNaturalNumber0(xn) = all_92_2 % 35.87/5.53 | | (97) aNaturalNumber0(xm) = all_92_1 % 35.87/5.53 | | % 35.87/5.53 | | DELTA: instantiating (57) with fresh symbols all_94_0, all_94_1, all_94_2 % 35.87/5.53 | | gives: % 35.87/5.53 | | (98) sdtpldt0(xp, all_64_1) = all_94_0 & aNaturalNumber0(all_64_1) = % 35.87/5.53 | | all_94_2 & aNaturalNumber0(xp) = all_94_1 & $i(all_94_0) & ( ~ % 35.87/5.53 | | (all_94_1 = 0) | ~ (all_94_2 = 0) | all_94_0 = all_64_0) % 35.87/5.53 | | % 35.87/5.53 | | ALPHA: (98) implies: % 35.87/5.53 | | (99) aNaturalNumber0(xp) = all_94_1 % 35.87/5.53 | | % 35.87/5.53 | | DELTA: instantiating (56) with fresh symbols all_96_0, all_96_1, all_96_2, % 35.87/5.53 | | all_96_3, all_96_4 gives: % 35.87/5.53 | | (100) sdtpldt0(xm, xp) = all_96_1 & sdtpldt0(xn, all_96_1) = all_96_0 & % 35.87/5.53 | | aNaturalNumber0(xp) = all_96_2 & aNaturalNumber0(xm) = all_96_3 & % 35.87/5.53 | | aNaturalNumber0(xn) = all_96_4 & $i(all_96_0) & $i(all_96_1) & ( ~ % 35.87/5.53 | | (all_96_2 = 0) | ~ (all_96_3 = 0) | ~ (all_96_4 = 0) | all_96_0 % 35.87/5.53 | | = all_64_0) % 35.87/5.53 | | % 35.87/5.53 | | ALPHA: (100) implies: % 35.87/5.53 | | (101) $i(all_96_1) % 35.87/5.53 | | (102) aNaturalNumber0(xn) = all_96_4 % 35.87/5.53 | | (103) aNaturalNumber0(xm) = all_96_3 % 35.87/5.53 | | (104) aNaturalNumber0(xp) = all_96_2 % 35.87/5.53 | | (105) sdtpldt0(xn, all_96_1) = all_96_0 % 35.87/5.53 | | (106) sdtpldt0(xm, xp) = all_96_1 % 35.87/5.53 | | (107) ~ (all_96_2 = 0) | ~ (all_96_3 = 0) | ~ (all_96_4 = 0) | % 35.87/5.53 | | all_96_0 = all_64_0 % 35.87/5.53 | | % 35.87/5.53 | | DELTA: instantiating (73) with fresh symbols all_98_0, all_98_1, all_98_2, % 35.87/5.53 | | all_98_3, all_98_4, all_98_5, all_98_6, all_98_7, all_98_8 gives: % 35.87/5.53 | | (108) isPrime0(xp) = all_98_5 & doDivides0(xp, xm) = all_98_0 & % 35.87/5.53 | | doDivides0(xp, xn) = all_98_1 & iLess0(all_98_3, all_64_0) = % 35.87/5.53 | | all_98_2 & sdtpldt0(all_98_4, xp) = all_98_3 & sdtpldt0(xn, xm) = % 35.87/5.53 | | all_98_4 & aNaturalNumber0(xp) = all_98_6 & aNaturalNumber0(xm) = % 35.87/5.53 | | all_98_7 & aNaturalNumber0(xn) = all_98_8 & $i(all_98_3) & % 35.87/5.53 | | $i(all_98_4) & ( ~ (all_98_2 = 0) | ~ (all_98_5 = 0) | ~ % 35.87/5.53 | | (all_98_6 = 0) | ~ (all_98_7 = 0) | ~ (all_98_8 = 0) | all_98_0 % 35.87/5.53 | | = 0 | all_98_1 = 0) % 35.87/5.53 | | % 35.87/5.53 | | ALPHA: (108) implies: % 35.87/5.53 | | (109) aNaturalNumber0(xn) = all_98_8 % 35.87/5.53 | | (110) aNaturalNumber0(xm) = all_98_7 % 35.87/5.53 | | (111) aNaturalNumber0(xp) = all_98_6 % 35.87/5.53 | | (112) sdtpldt0(xn, xm) = all_98_4 % 35.87/5.54 | | (113) sdtpldt0(all_98_4, xp) = all_98_3 % 35.87/5.54 | | (114) doDivides0(xp, xn) = all_98_1 % 35.87/5.54 | | % 35.87/5.54 | | DELTA: instantiating (70) with fresh symbols all_100_0, all_100_1, % 35.87/5.54 | | all_100_2, all_100_3, all_100_4, all_100_5, all_100_6, all_100_7, % 35.87/5.54 | | all_100_8 gives: % 35.87/5.54 | | (115) isPrime0(xp) = all_100_5 & doDivides0(xp, xr) = all_100_1 & % 35.87/5.54 | | doDivides0(xp, xm) = all_100_0 & iLess0(all_100_3, all_64_0) = % 35.87/5.54 | | all_100_2 & sdtpldt0(all_100_4, xp) = all_100_3 & sdtpldt0(xr, xm) % 35.87/5.54 | | = all_100_4 & aNaturalNumber0(xr) = all_100_8 & aNaturalNumber0(xp) % 35.87/5.54 | | = all_100_6 & aNaturalNumber0(xm) = all_100_7 & $i(all_100_3) & % 35.87/5.54 | | $i(all_100_4) & ( ~ (all_100_2 = 0) | ~ (all_100_5 = 0) | ~ % 35.87/5.54 | | (all_100_6 = 0) | ~ (all_100_7 = 0) | ~ (all_100_8 = 0) | % 35.87/5.54 | | all_100_0 = 0 | all_100_1 = 0) % 35.87/5.54 | | % 35.87/5.54 | | ALPHA: (115) implies: % 35.87/5.54 | | (116) $i(all_100_4) % 35.87/5.54 | | (117) aNaturalNumber0(xm) = all_100_7 % 35.87/5.54 | | (118) aNaturalNumber0(xp) = all_100_6 % 35.87/5.54 | | (119) sdtpldt0(xr, xm) = all_100_4 % 35.87/5.54 | | (120) sdtpldt0(all_100_4, xp) = all_100_3 % 35.87/5.54 | | (121) doDivides0(xp, xr) = all_100_1 % 35.87/5.54 | | % 35.87/5.54 | | BETA: splitting (72) gives: % 35.87/5.54 | | % 35.87/5.54 | | Case 1: % 35.87/5.54 | | | % 35.87/5.54 | | | (122) all_58_1 = 0 % 35.87/5.54 | | | % 35.87/5.54 | | | REDUCE: (28), (122) imply: % 35.87/5.54 | | | (123) $false % 35.87/5.54 | | | % 35.87/5.54 | | | CLOSE: (123) is inconsistent. % 35.87/5.54 | | | % 35.87/5.54 | | Case 2: % 35.87/5.54 | | | % 35.87/5.54 | | | (124) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 35.87/5.54 | | | (doDivides0(all_62_0, xn) = v3 & aNaturalNumber0(all_62_0) = v1 & % 35.87/5.54 | | | aNaturalNumber0(xp) = v0 & aNaturalNumber0(xn) = v2 & ( ~ (v3 = % 35.87/5.54 | | | 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 35.87/5.54 | | | % 35.87/5.54 | | | DELTA: instantiating (124) with fresh symbols all_110_0, all_110_1, % 35.87/5.54 | | | all_110_2, all_110_3 gives: % 35.87/5.54 | | | (125) doDivides0(all_62_0, xn) = all_110_0 & aNaturalNumber0(all_62_0) % 35.87/5.54 | | | = all_110_2 & aNaturalNumber0(xp) = all_110_3 & % 35.87/5.54 | | | aNaturalNumber0(xn) = all_110_1 & ( ~ (all_110_0 = 0) | ~ % 35.87/5.54 | | | (all_110_1 = 0) | ~ (all_110_2 = 0) | ~ (all_110_3 = 0)) % 35.87/5.54 | | | % 35.87/5.54 | | | ALPHA: (125) implies: % 35.87/5.54 | | | (126) aNaturalNumber0(xn) = all_110_1 % 35.87/5.54 | | | (127) aNaturalNumber0(xp) = all_110_3 % 35.87/5.54 | | | (128) aNaturalNumber0(all_62_0) = all_110_2 % 35.87/5.54 | | | (129) doDivides0(all_62_0, xn) = all_110_0 % 35.87/5.54 | | | (130) ~ (all_110_0 = 0) | ~ (all_110_1 = 0) | ~ (all_110_2 = 0) | ~ % 35.87/5.54 | | | (all_110_3 = 0) % 35.87/5.54 | | | % 35.87/5.54 | | | BETA: splitting (71) gives: % 35.87/5.54 | | | % 35.87/5.54 | | | Case 1: % 35.87/5.54 | | | | % 35.87/5.54 | | | | (131) all_58_0 = 0 % 35.87/5.54 | | | | % 35.87/5.54 | | | | REDUCE: (29), (131) imply: % 35.87/5.54 | | | | (132) $false % 35.87/5.54 | | | | % 35.87/5.54 | | | | CLOSE: (132) is inconsistent. % 35.87/5.54 | | | | % 35.87/5.54 | | | Case 2: % 35.87/5.54 | | | | % 35.87/5.54 | | | | (133) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 35.87/5.54 | | | | (doDivides0(all_62_0, xm) = v3 & aNaturalNumber0(all_62_0) = v1 % 35.87/5.54 | | | | & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v2 & ( ~ % 35.87/5.54 | | | | (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 35.87/5.54 | | | | % 35.87/5.54 | | | | DELTA: instantiating (133) with fresh symbols all_115_0, all_115_1, % 35.87/5.54 | | | | all_115_2, all_115_3 gives: % 35.87/5.54 | | | | (134) doDivides0(all_62_0, xm) = all_115_0 & % 35.87/5.54 | | | | aNaturalNumber0(all_62_0) = all_115_2 & aNaturalNumber0(xp) = % 35.87/5.54 | | | | all_115_3 & aNaturalNumber0(xm) = all_115_1 & ( ~ (all_115_0 = % 35.87/5.54 | | | | 0) | ~ (all_115_1 = 0) | ~ (all_115_2 = 0) | ~ % 35.87/5.54 | | | | (all_115_3 = 0)) % 35.87/5.54 | | | | % 35.87/5.54 | | | | ALPHA: (134) implies: % 35.87/5.54 | | | | (135) aNaturalNumber0(xm) = all_115_1 % 35.87/5.54 | | | | (136) aNaturalNumber0(xp) = all_115_3 % 35.87/5.54 | | | | (137) aNaturalNumber0(all_62_0) = all_115_2 % 35.87/5.54 | | | | (138) ~ (all_115_0 = 0) | ~ (all_115_1 = 0) | ~ (all_115_2 = 0) | % 35.87/5.54 | | | | ~ (all_115_3 = 0) % 35.87/5.54 | | | | % 35.87/5.54 | | | | BETA: splitting (68) gives: % 35.87/5.54 | | | | % 35.87/5.54 | | | | Case 1: % 35.87/5.54 | | | | | % 35.87/5.54 | | | | | (139) all_58_0 = 0 % 35.87/5.54 | | | | | % 35.87/5.54 | | | | | REDUCE: (29), (139) imply: % 35.87/5.54 | | | | | (140) $false % 35.87/5.54 | | | | | % 35.87/5.54 | | | | | CLOSE: (140) is inconsistent. % 35.87/5.54 | | | | | % 35.87/5.54 | | | | Case 2: % 35.87/5.54 | | | | | % 35.87/5.54 | | | | | (141) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 35.87/5.54 | | | | | (doDivides0(all_56_0, xm) = v3 & aNaturalNumber0(all_56_0) = % 35.87/5.54 | | | | | v1 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v2 & % 35.87/5.54 | | | | | ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 35.87/5.54 | | | | | % 35.87/5.54 | | | | | DELTA: instantiating (141) with fresh symbols all_120_0, all_120_1, % 35.87/5.54 | | | | | all_120_2, all_120_3 gives: % 35.87/5.57 | | | | | (142) doDivides0(all_56_0, xm) = all_120_0 & % 35.87/5.57 | | | | | aNaturalNumber0(all_56_0) = all_120_2 & aNaturalNumber0(xp) = % 35.87/5.57 | | | | | all_120_3 & aNaturalNumber0(xm) = all_120_1 & ( ~ (all_120_0 % 35.87/5.57 | | | | | = 0) | ~ (all_120_1 = 0) | ~ (all_120_2 = 0) | ~ % 35.87/5.57 | | | | | (all_120_3 = 0)) % 35.87/5.57 | | | | | % 35.87/5.57 | | | | | ALPHA: (142) implies: % 35.87/5.57 | | | | | (143) aNaturalNumber0(xm) = all_120_1 % 35.87/5.57 | | | | | (144) aNaturalNumber0(xp) = all_120_3 % 35.87/5.57 | | | | | % 35.87/5.57 | | | | | BETA: splitting (67) gives: % 35.87/5.57 | | | | | % 35.87/5.57 | | | | | Case 1: % 35.87/5.57 | | | | | | % 35.87/5.57 | | | | | | (145) all_58_1 = 0 % 35.87/5.57 | | | | | | % 35.87/5.57 | | | | | | REDUCE: (28), (145) imply: % 35.87/5.57 | | | | | | (146) $false % 35.87/5.57 | | | | | | % 35.87/5.57 | | | | | | CLOSE: (146) is inconsistent. % 35.87/5.57 | | | | | | % 35.87/5.57 | | | | | Case 2: % 35.87/5.57 | | | | | | % 35.87/5.57 | | | | | | (147) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 35.87/5.57 | | | | | | (doDivides0(xr, xn) = v3 & aNaturalNumber0(xr) = v1 & % 35.87/5.57 | | | | | | aNaturalNumber0(xp) = v0 & aNaturalNumber0(xn) = v2 & ( ~ % 35.87/5.57 | | | | | | (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 35.87/5.57 | | | | | | % 35.87/5.57 | | | | | | DELTA: instantiating (147) with fresh symbols all_125_0, all_125_1, % 35.87/5.57 | | | | | | all_125_2, all_125_3 gives: % 35.87/5.57 | | | | | | (148) doDivides0(xr, xn) = all_125_0 & aNaturalNumber0(xr) = % 35.87/5.57 | | | | | | all_125_2 & aNaturalNumber0(xp) = all_125_3 & % 35.87/5.57 | | | | | | aNaturalNumber0(xn) = all_125_1 & ( ~ (all_125_0 = 0) | ~ % 35.87/5.57 | | | | | | (all_125_1 = 0) | ~ (all_125_2 = 0) | ~ (all_125_3 = % 35.87/5.57 | | | | | | 0)) % 35.87/5.57 | | | | | | % 35.87/5.57 | | | | | | ALPHA: (148) implies: % 35.87/5.57 | | | | | | (149) aNaturalNumber0(xn) = all_125_1 % 35.87/5.57 | | | | | | (150) aNaturalNumber0(xp) = all_125_3 % 35.87/5.57 | | | | | | % 35.87/5.57 | | | | | | BETA: splitting (66) gives: % 35.87/5.57 | | | | | | % 35.87/5.57 | | | | | | Case 1: % 35.87/5.57 | | | | | | | % 35.87/5.57 | | | | | | | (151) all_58_0 = 0 % 35.87/5.57 | | | | | | | % 35.87/5.57 | | | | | | | REDUCE: (29), (151) imply: % 35.87/5.57 | | | | | | | (152) $false % 35.87/5.57 | | | | | | | % 35.87/5.57 | | | | | | | CLOSE: (152) is inconsistent. % 35.87/5.57 | | | | | | | % 35.87/5.57 | | | | | | Case 2: % 35.87/5.57 | | | | | | | % 35.87/5.57 | | | | | | | (153) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] % 35.87/5.57 | | | | | | | : (doDivides0(xr, xm) = v3 & aNaturalNumber0(xr) = v1 & % 35.87/5.57 | | | | | | | aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v2 & ( % 35.87/5.57 | | | | | | | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = % 35.87/5.57 | | | | | | | 0))) % 35.87/5.57 | | | | | | | % 35.87/5.57 | | | | | | | DELTA: instantiating (153) with fresh symbols all_130_0, % 35.87/5.57 | | | | | | | all_130_1, all_130_2, all_130_3 gives: % 35.87/5.57 | | | | | | | (154) doDivides0(xr, xm) = all_130_0 & aNaturalNumber0(xr) = % 35.87/5.57 | | | | | | | all_130_2 & aNaturalNumber0(xp) = all_130_3 & % 35.87/5.57 | | | | | | | aNaturalNumber0(xm) = all_130_1 & ( ~ (all_130_0 = 0) | % 35.87/5.57 | | | | | | | ~ (all_130_1 = 0) | ~ (all_130_2 = 0) | ~ (all_130_3 % 35.87/5.57 | | | | | | | = 0)) % 35.87/5.57 | | | | | | | % 35.87/5.57 | | | | | | | ALPHA: (154) implies: % 35.87/5.57 | | | | | | | (155) aNaturalNumber0(xm) = all_130_1 % 35.87/5.57 | | | | | | | (156) aNaturalNumber0(xp) = all_130_3 % 35.87/5.57 | | | | | | | % 35.87/5.57 | | | | | | | BETA: splitting (69) gives: % 35.87/5.57 | | | | | | | % 35.87/5.57 | | | | | | | Case 1: % 35.87/5.57 | | | | | | | | % 35.87/5.57 | | | | | | | | (157) all_58_1 = 0 % 35.87/5.57 | | | | | | | | % 35.87/5.57 | | | | | | | | REDUCE: (28), (157) imply: % 35.87/5.57 | | | | | | | | (158) $false % 35.87/5.57 | | | | | | | | % 35.87/5.57 | | | | | | | | CLOSE: (158) is inconsistent. % 35.87/5.57 | | | | | | | | % 35.87/5.57 | | | | | | | Case 2: % 35.87/5.57 | | | | | | | | % 35.87/5.57 | | | | | | | | (159) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 35.87/5.57 | | | | | | | | any] : (doDivides0(all_56_0, xn) = v3 & % 35.87/5.57 | | | | | | | | aNaturalNumber0(all_56_0) = v1 & aNaturalNumber0(xp) % 35.87/5.57 | | | | | | | | = v0 & aNaturalNumber0(xn) = v2 & ( ~ (v3 = 0) | ~ % 35.87/5.57 | | | | | | | | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 35.87/5.57 | | | | | | | | % 35.87/5.57 | | | | | | | | DELTA: instantiating (159) with fresh symbols all_135_0, % 35.87/5.57 | | | | | | | | all_135_1, all_135_2, all_135_3 gives: % 35.87/5.57 | | | | | | | | (160) doDivides0(all_56_0, xn) = all_135_0 & % 35.87/5.57 | | | | | | | | aNaturalNumber0(all_56_0) = all_135_2 & % 35.87/5.57 | | | | | | | | aNaturalNumber0(xp) = all_135_3 & aNaturalNumber0(xn) = % 35.87/5.57 | | | | | | | | all_135_1 & ( ~ (all_135_0 = 0) | ~ (all_135_1 = 0) | % 35.87/5.57 | | | | | | | | ~ (all_135_2 = 0) | ~ (all_135_3 = 0)) % 35.87/5.57 | | | | | | | | % 35.87/5.57 | | | | | | | | ALPHA: (160) implies: % 35.87/5.57 | | | | | | | | (161) aNaturalNumber0(xn) = all_135_1 % 35.87/5.57 | | | | | | | | (162) aNaturalNumber0(xp) = all_135_3 % 35.87/5.57 | | | | | | | | % 35.87/5.57 | | | | | | | | BETA: splitting (64) gives: % 35.87/5.57 | | | | | | | | % 35.87/5.57 | | | | | | | | Case 1: % 35.87/5.57 | | | | | | | | | % 35.87/5.57 | | | | | | | | | (163) xr = xn % 35.87/5.57 | | | | | | | | | % 35.87/5.57 | | | | | | | | | REDUCE: (10), (163) imply: % 35.87/5.57 | | | | | | | | | (164) $false % 35.87/5.57 | | | | | | | | | % 35.87/5.57 | | | | | | | | | CLOSE: (164) is inconsistent. % 35.87/5.57 | | | | | | | | | % 35.87/5.57 | | | | | | | | Case 2: % 35.87/5.57 | | | | | | | | | % 35.87/5.57 | | | | | | | | | (165) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 35.87/5.57 | | | | | | | | | (sdtlseqdt0(xn, xr) = v2 & aNaturalNumber0(xr) = v0 & % 35.87/5.57 | | | | | | | | | aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = % 35.87/5.57 | | | | | | | | | 0) | ~ (v0 = 0))) % 35.87/5.57 | | | | | | | | | % 35.87/5.57 | | | | | | | | | DELTA: instantiating (165) with fresh symbols all_140_0, % 35.87/5.57 | | | | | | | | | all_140_1, all_140_2 gives: % 35.87/5.57 | | | | | | | | | (166) sdtlseqdt0(xn, xr) = all_140_0 & aNaturalNumber0(xr) % 35.87/5.57 | | | | | | | | | = all_140_2 & aNaturalNumber0(xn) = all_140_1 & ( ~ % 35.87/5.57 | | | | | | | | | (all_140_0 = 0) | ~ (all_140_1 = 0) | ~ % 35.87/5.57 | | | | | | | | | (all_140_2 = 0)) % 35.87/5.57 | | | | | | | | | % 35.87/5.57 | | | | | | | | | ALPHA: (166) implies: % 35.87/5.57 | | | | | | | | | (167) aNaturalNumber0(xn) = all_140_1 % 35.87/5.57 | | | | | | | | | % 35.87/5.57 | | | | | | | | | GROUND_INST: instantiating (19) with all_86_2, all_88_2, xn, % 35.87/5.57 | | | | | | | | | simplifying with (86), (89) gives: % 35.87/5.57 | | | | | | | | | (168) all_88_2 = all_86_2 % 35.87/5.57 | | | | | | | | | % 35.87/5.57 | | | | | | | | | GROUND_INST: instantiating (19) with all_86_2, all_92_2, xn, % 35.87/5.57 | | | | | | | | | simplifying with (86), (96) gives: % 35.87/5.57 | | | | | | | | | (169) all_92_2 = all_86_2 % 35.87/5.57 | | | | | | | | | % 35.87/5.57 | | | | | | | | | GROUND_INST: instantiating (19) with all_82_2, all_92_2, xn, % 35.87/5.57 | | | | | | | | | simplifying with (79), (96) gives: % 35.87/5.57 | | | | | | | | | (170) all_92_2 = all_82_2 % 35.87/5.57 | | | | | | | | | % 35.87/5.57 | | | | | | | | | GROUND_INST: instantiating (19) with all_88_2, all_96_4, xn, % 35.87/5.57 | | | | | | | | | simplifying with (89), (102) gives: % 35.87/5.57 | | | | | | | | | (171) all_96_4 = all_88_2 % 35.87/5.57 | | | | | | | | | % 35.87/5.57 | | | | | | | | | GROUND_INST: instantiating (19) with all_110_1, all_135_1, xn, % 35.87/5.57 | | | | | | | | | simplifying with (126), (161) gives: % 35.87/5.57 | | | | | | | | | (172) all_135_1 = all_110_1 % 35.87/5.57 | | | | | | | | | % 35.87/5.57 | | | | | | | | | GROUND_INST: instantiating (19) with all_98_8, all_135_1, xn, % 35.87/5.57 | | | | | | | | | simplifying with (109), (161) gives: % 35.87/5.57 | | | | | | | | | (173) all_135_1 = all_98_8 % 35.87/5.57 | | | | | | | | | % 35.87/5.57 | | | | | | | | | GROUND_INST: instantiating (19) with all_96_4, all_135_1, xn, % 35.87/5.57 | | | | | | | | | simplifying with (102), (161) gives: % 35.87/5.57 | | | | | | | | | (174) all_135_1 = all_96_4 % 35.87/5.57 | | | | | | | | | % 35.87/5.57 | | | | | | | | | GROUND_INST: instantiating (19) with 0, all_140_1, xn, % 35.87/5.57 | | | | | | | | | simplifying with (3), (167) gives: % 35.87/5.57 | | | | | | | | | (175) all_140_1 = 0 % 35.87/5.57 | | | | | | | | | % 35.87/5.58 | | | | | | | | | GROUND_INST: instantiating (19) with all_125_1, all_140_1, xn, % 35.87/5.58 | | | | | | | | | simplifying with (149), (167) gives: % 35.87/5.58 | | | | | | | | | (176) all_140_1 = all_125_1 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | GROUND_INST: instantiating (19) with all_110_1, all_140_1, xn, % 35.87/5.58 | | | | | | | | | simplifying with (126), (167) gives: % 35.87/5.58 | | | | | | | | | (177) all_140_1 = all_110_1 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | GROUND_INST: instantiating (19) with 0, all_88_1, xm, % 35.87/5.58 | | | | | | | | | simplifying with (4), (90) gives: % 35.87/5.58 | | | | | | | | | (178) all_88_1 = 0 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | GROUND_INST: instantiating (19) with all_86_1, all_88_1, xm, % 35.87/5.58 | | | | | | | | | simplifying with (87), (90) gives: % 35.87/5.58 | | | | | | | | | (179) all_88_1 = all_86_1 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | GROUND_INST: instantiating (19) with all_88_1, all_90_1, xm, % 35.87/5.58 | | | | | | | | | simplifying with (90), (94) gives: % 35.87/5.58 | | | | | | | | | (180) all_90_1 = all_88_1 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | GROUND_INST: instantiating (19) with all_82_1, all_90_1, xm, % 35.87/5.58 | | | | | | | | | simplifying with (80), (94) gives: % 35.87/5.58 | | | | | | | | | (181) all_90_1 = all_82_1 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | GROUND_INST: instantiating (19) with all_86_1, all_92_1, xm, % 35.87/5.58 | | | | | | | | | simplifying with (87), (97) gives: % 35.87/5.58 | | | | | | | | | (182) all_92_1 = all_86_1 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | GROUND_INST: instantiating (19) with all_92_1, all_96_3, xm, % 35.87/5.58 | | | | | | | | | simplifying with (97), (103) gives: % 35.87/5.58 | | | | | | | | | (183) all_96_3 = all_92_1 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | GROUND_INST: instantiating (19) with all_96_3, all_98_7, xm, % 35.87/5.58 | | | | | | | | | simplifying with (103), (110) gives: % 35.87/5.58 | | | | | | | | | (184) all_98_7 = all_96_3 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | GROUND_INST: instantiating (19) with all_98_7, all_100_7, xm, % 35.87/5.58 | | | | | | | | | simplifying with (110), (117) gives: % 35.87/5.58 | | | | | | | | | (185) all_100_7 = all_98_7 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | GROUND_INST: instantiating (19) with all_115_1, all_120_1, xm, % 35.87/5.58 | | | | | | | | | simplifying with (135), (143) gives: % 35.87/5.58 | | | | | | | | | (186) all_120_1 = all_115_1 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | GROUND_INST: instantiating (19) with all_100_7, all_120_1, xm, % 35.87/5.58 | | | | | | | | | simplifying with (117), (143) gives: % 35.87/5.58 | | | | | | | | | (187) all_120_1 = all_100_7 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | GROUND_INST: instantiating (19) with all_120_1, all_130_1, xm, % 35.87/5.58 | | | | | | | | | simplifying with (143), (155) gives: % 35.87/5.58 | | | | | | | | | (188) all_130_1 = all_120_1 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | GROUND_INST: instantiating (19) with all_80_1, all_130_1, xm, % 35.87/5.58 | | | | | | | | | simplifying with (77), (155) gives: % 35.87/5.58 | | | | | | | | | (189) all_130_1 = all_80_1 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | GROUND_INST: instantiating (19) with all_84_1, all_96_2, xp, % 35.87/5.58 | | | | | | | | | simplifying with (84), (104) gives: % 35.87/5.58 | | | | | | | | | (190) all_96_2 = all_84_1 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | GROUND_INST: instantiating (19) with all_94_1, all_120_3, xp, % 35.87/5.58 | | | | | | | | | simplifying with (99), (144) gives: % 35.87/5.58 | | | | | | | | | (191) all_120_3 = all_94_1 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | GROUND_INST: instantiating (19) with all_120_3, all_125_3, xp, % 35.87/5.58 | | | | | | | | | simplifying with (144), (150) gives: % 35.87/5.58 | | | | | | | | | (192) all_125_3 = all_120_3 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | GROUND_INST: instantiating (19) with all_115_3, all_125_3, xp, % 35.87/5.58 | | | | | | | | | simplifying with (136), (150) gives: % 35.87/5.58 | | | | | | | | | (193) all_125_3 = all_115_3 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | GROUND_INST: instantiating (19) with all_98_6, all_125_3, xp, % 35.87/5.58 | | | | | | | | | simplifying with (111), (150) gives: % 35.87/5.58 | | | | | | | | | (194) all_125_3 = all_98_6 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | GROUND_INST: instantiating (19) with all_96_2, all_125_3, xp, % 35.87/5.58 | | | | | | | | | simplifying with (104), (150) gives: % 35.87/5.58 | | | | | | | | | (195) all_125_3 = all_96_2 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | GROUND_INST: instantiating (19) with all_110_3, all_130_3, xp, % 35.87/5.58 | | | | | | | | | simplifying with (127), (156) gives: % 35.87/5.58 | | | | | | | | | (196) all_130_3 = all_110_3 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | GROUND_INST: instantiating (19) with all_100_6, all_130_3, xp, % 35.87/5.58 | | | | | | | | | simplifying with (118), (156) gives: % 35.87/5.58 | | | | | | | | | (197) all_130_3 = all_100_6 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | GROUND_INST: instantiating (19) with all_98_6, all_130_3, xp, % 35.87/5.58 | | | | | | | | | simplifying with (111), (156) gives: % 35.87/5.58 | | | | | | | | | (198) all_130_3 = all_98_6 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | GROUND_INST: instantiating (19) with 0, all_135_3, xp, % 35.87/5.58 | | | | | | | | | simplifying with (5), (162) gives: % 35.87/5.58 | | | | | | | | | (199) all_135_3 = 0 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | GROUND_INST: instantiating (19) with all_110_3, all_135_3, xp, % 35.87/5.58 | | | | | | | | | simplifying with (127), (162) gives: % 35.87/5.58 | | | | | | | | | (200) all_135_3 = all_110_3 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | GROUND_INST: instantiating (19) with all_110_2, all_115_2, % 35.87/5.58 | | | | | | | | | all_62_0, simplifying with (128), (137) gives: % 35.87/5.58 | | | | | | | | | (201) all_115_2 = all_110_2 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | GROUND_INST: instantiating (19) with all_82_0, all_115_2, % 35.87/5.58 | | | | | | | | | all_62_0, simplifying with (81), (137) gives: % 35.87/5.58 | | | | | | | | | (202) all_115_2 = all_82_0 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | GROUND_INST: instantiating (20) with all_64_1, all_98_4, xm, % 35.87/5.58 | | | | | | | | | xn, simplifying with (43), (112) gives: % 35.87/5.58 | | | | | | | | | (203) all_98_4 = all_64_1 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | GROUND_INST: instantiating (22) with all_58_1, all_98_1, xn, % 35.87/5.58 | | | | | | | | | xp, simplifying with (30), (114) gives: % 35.87/5.58 | | | | | | | | | (204) all_98_1 = all_58_1 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | GROUND_INST: instantiating (22) with 0, all_100_1, xr, xp, % 35.87/5.58 | | | | | | | | | simplifying with (52), (121) gives: % 35.87/5.58 | | | | | | | | | (205) all_100_1 = 0 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | COMBINE_EQS: (176), (177) imply: % 35.87/5.58 | | | | | | | | | (206) all_125_1 = all_110_1 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | COMBINE_EQS: (175), (176) imply: % 35.87/5.58 | | | | | | | | | (207) all_125_1 = 0 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | COMBINE_EQS: (172), (173) imply: % 35.87/5.58 | | | | | | | | | (208) all_110_1 = all_98_8 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | SIMP: (208) implies: % 35.87/5.58 | | | | | | | | | (209) all_110_1 = all_98_8 % 35.87/5.58 | | | | | | | | | % 35.87/5.58 | | | | | | | | | COMBINE_EQS: (173), (174) imply: % 36.32/5.58 | | | | | | | | | (210) all_98_8 = all_96_4 % 36.32/5.58 | | | | | | | | | % 36.32/5.58 | | | | | | | | | COMBINE_EQS: (199), (200) imply: % 36.32/5.58 | | | | | | | | | (211) all_110_3 = 0 % 36.32/5.58 | | | | | | | | | % 36.32/5.58 | | | | | | | | | SIMP: (211) implies: % 36.32/5.58 | | | | | | | | | (212) all_110_3 = 0 % 36.32/5.58 | | | | | | | | | % 36.32/5.58 | | | | | | | | | COMBINE_EQS: (188), (189) imply: % 36.32/5.58 | | | | | | | | | (213) all_120_1 = all_80_1 % 36.32/5.58 | | | | | | | | | % 36.32/5.58 | | | | | | | | | SIMP: (213) implies: % 36.32/5.58 | | | | | | | | | (214) all_120_1 = all_80_1 % 36.32/5.58 | | | | | | | | | % 36.32/5.58 | | | | | | | | | COMBINE_EQS: (197), (198) imply: % 36.32/5.58 | | | | | | | | | (215) all_100_6 = all_98_6 % 36.32/5.58 | | | | | | | | | % 36.32/5.58 | | | | | | | | | COMBINE_EQS: (196), (197) imply: % 36.32/5.58 | | | | | | | | | (216) all_110_3 = all_100_6 % 36.32/5.58 | | | | | | | | | % 36.32/5.58 | | | | | | | | | SIMP: (216) implies: % 36.32/5.58 | | | | | | | | | (217) all_110_3 = all_100_6 % 36.32/5.58 | | | | | | | | | % 36.32/5.58 | | | | | | | | | COMBINE_EQS: (206), (207) imply: % 36.32/5.58 | | | | | | | | | (218) all_110_1 = 0 % 36.32/5.58 | | | | | | | | | % 36.32/5.58 | | | | | | | | | SIMP: (218) implies: % 36.32/5.58 | | | | | | | | | (219) all_110_1 = 0 % 36.32/5.58 | | | | | | | | | % 36.32/5.58 | | | | | | | | | COMBINE_EQS: (193), (194) imply: % 36.32/5.58 | | | | | | | | | (220) all_115_3 = all_98_6 % 36.32/5.58 | | | | | | | | | % 36.32/5.58 | | | | | | | | | COMBINE_EQS: (192), (193) imply: % 36.32/5.58 | | | | | | | | | (221) all_120_3 = all_115_3 % 36.32/5.58 | | | | | | | | | % 36.32/5.58 | | | | | | | | | SIMP: (221) implies: % 36.32/5.58 | | | | | | | | | (222) all_120_3 = all_115_3 % 36.32/5.58 | | | | | | | | | % 36.32/5.58 | | | | | | | | | COMBINE_EQS: (193), (195) imply: % 36.32/5.58 | | | | | | | | | (223) all_115_3 = all_96_2 % 36.32/5.58 | | | | | | | | | % 36.32/5.58 | | | | | | | | | COMBINE_EQS: (186), (187) imply: % 36.32/5.58 | | | | | | | | | (224) all_115_1 = all_100_7 % 36.32/5.58 | | | | | | | | | % 36.32/5.58 | | | | | | | | | COMBINE_EQS: (186), (214) imply: % 36.32/5.58 | | | | | | | | | (225) all_115_1 = all_80_1 % 36.32/5.58 | | | | | | | | | % 36.32/5.58 | | | | | | | | | COMBINE_EQS: (191), (222) imply: % 36.32/5.58 | | | | | | | | | (226) all_115_3 = all_94_1 % 36.32/5.58 | | | | | | | | | % 36.32/5.58 | | | | | | | | | SIMP: (226) implies: % 36.32/5.58 | | | | | | | | | (227) all_115_3 = all_94_1 % 36.32/5.58 | | | | | | | | | % 36.32/5.58 | | | | | | | | | COMBINE_EQS: (224), (225) imply: % 36.32/5.58 | | | | | | | | | (228) all_100_7 = all_80_1 % 36.32/5.58 | | | | | | | | | % 36.32/5.58 | | | | | | | | | SIMP: (228) implies: % 36.32/5.58 | | | | | | | | | (229) all_100_7 = all_80_1 % 36.32/5.58 | | | | | | | | | % 36.32/5.58 | | | | | | | | | COMBINE_EQS: (201), (202) imply: % 36.32/5.58 | | | | | | | | | (230) all_110_2 = all_82_0 % 36.32/5.58 | | | | | | | | | % 36.32/5.58 | | | | | | | | | COMBINE_EQS: (223), (227) imply: % 36.32/5.58 | | | | | | | | | (231) all_96_2 = all_94_1 % 36.32/5.58 | | | | | | | | | % 36.32/5.58 | | | | | | | | | SIMP: (231) implies: % 36.32/5.58 | | | | | | | | | (232) all_96_2 = all_94_1 % 36.32/5.58 | | | | | | | | | % 36.32/5.58 | | | | | | | | | COMBINE_EQS: (220), (227) imply: % 36.32/5.59 | | | | | | | | | (233) all_98_6 = all_94_1 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | SIMP: (233) implies: % 36.32/5.59 | | | | | | | | | (234) all_98_6 = all_94_1 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | COMBINE_EQS: (209), (219) imply: % 36.32/5.59 | | | | | | | | | (235) all_98_8 = 0 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | SIMP: (235) implies: % 36.32/5.59 | | | | | | | | | (236) all_98_8 = 0 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | COMBINE_EQS: (212), (217) imply: % 36.32/5.59 | | | | | | | | | (237) all_100_6 = 0 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | SIMP: (237) implies: % 36.32/5.59 | | | | | | | | | (238) all_100_6 = 0 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | COMBINE_EQS: (215), (238) imply: % 36.32/5.59 | | | | | | | | | (239) all_98_6 = 0 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | SIMP: (239) implies: % 36.32/5.59 | | | | | | | | | (240) all_98_6 = 0 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | COMBINE_EQS: (185), (229) imply: % 36.32/5.59 | | | | | | | | | (241) all_98_7 = all_80_1 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | SIMP: (241) implies: % 36.32/5.59 | | | | | | | | | (242) all_98_7 = all_80_1 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | COMBINE_EQS: (234), (240) imply: % 36.32/5.59 | | | | | | | | | (243) all_94_1 = 0 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | SIMP: (243) implies: % 36.32/5.59 | | | | | | | | | (244) all_94_1 = 0 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | COMBINE_EQS: (184), (242) imply: % 36.32/5.59 | | | | | | | | | (245) all_96_3 = all_80_1 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | SIMP: (245) implies: % 36.32/5.59 | | | | | | | | | (246) all_96_3 = all_80_1 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | COMBINE_EQS: (210), (236) imply: % 36.32/5.59 | | | | | | | | | (247) all_96_4 = 0 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | SIMP: (247) implies: % 36.32/5.59 | | | | | | | | | (248) all_96_4 = 0 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | COMBINE_EQS: (190), (232) imply: % 36.32/5.59 | | | | | | | | | (249) all_94_1 = all_84_1 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | SIMP: (249) implies: % 36.32/5.59 | | | | | | | | | (250) all_94_1 = all_84_1 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | COMBINE_EQS: (183), (246) imply: % 36.32/5.59 | | | | | | | | | (251) all_92_1 = all_80_1 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | SIMP: (251) implies: % 36.32/5.59 | | | | | | | | | (252) all_92_1 = all_80_1 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | COMBINE_EQS: (171), (248) imply: % 36.32/5.59 | | | | | | | | | (253) all_88_2 = 0 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | SIMP: (253) implies: % 36.32/5.59 | | | | | | | | | (254) all_88_2 = 0 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | COMBINE_EQS: (244), (250) imply: % 36.32/5.59 | | | | | | | | | (255) all_84_1 = 0 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | SIMP: (255) implies: % 36.32/5.59 | | | | | | | | | (256) all_84_1 = 0 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | COMBINE_EQS: (182), (252) imply: % 36.32/5.59 | | | | | | | | | (257) all_86_1 = all_80_1 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | SIMP: (257) implies: % 36.32/5.59 | | | | | | | | | (258) all_86_1 = all_80_1 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | COMBINE_EQS: (169), (170) imply: % 36.32/5.59 | | | | | | | | | (259) all_86_2 = all_82_2 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | SIMP: (259) implies: % 36.32/5.59 | | | | | | | | | (260) all_86_2 = all_82_2 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | COMBINE_EQS: (180), (181) imply: % 36.32/5.59 | | | | | | | | | (261) all_88_1 = all_82_1 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | SIMP: (261) implies: % 36.32/5.59 | | | | | | | | | (262) all_88_1 = all_82_1 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | COMBINE_EQS: (179), (262) imply: % 36.32/5.59 | | | | | | | | | (263) all_86_1 = all_82_1 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | SIMP: (263) implies: % 36.32/5.59 | | | | | | | | | (264) all_86_1 = all_82_1 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | COMBINE_EQS: (178), (262) imply: % 36.32/5.59 | | | | | | | | | (265) all_82_1 = 0 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | COMBINE_EQS: (168), (254) imply: % 36.32/5.59 | | | | | | | | | (266) all_86_2 = 0 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | SIMP: (266) implies: % 36.32/5.59 | | | | | | | | | (267) all_86_2 = 0 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | COMBINE_EQS: (258), (264) imply: % 36.32/5.59 | | | | | | | | | (268) all_82_1 = all_80_1 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | SIMP: (268) implies: % 36.32/5.59 | | | | | | | | | (269) all_82_1 = all_80_1 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | COMBINE_EQS: (260), (267) imply: % 36.32/5.59 | | | | | | | | | (270) all_82_2 = 0 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | COMBINE_EQS: (265), (269) imply: % 36.32/5.59 | | | | | | | | | (271) all_80_1 = 0 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | COMBINE_EQS: (246), (271) imply: % 36.32/5.59 | | | | | | | | | (272) all_96_3 = 0 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | COMBINE_EQS: (190), (256) imply: % 36.32/5.59 | | | | | | | | | (273) all_96_2 = 0 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | COMBINE_EQS: (227), (244) imply: % 36.32/5.59 | | | | | | | | | (274) all_115_3 = 0 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | COMBINE_EQS: (225), (271) imply: % 36.32/5.59 | | | | | | | | | (275) all_115_1 = 0 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | REDUCE: (113), (203) imply: % 36.32/5.59 | | | | | | | | | (276) sdtpldt0(all_64_1, xp) = all_98_3 % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | BETA: splitting (75) gives: % 36.32/5.59 | | | | | | | | | % 36.32/5.59 | | | | | | | | | Case 1: % 36.32/5.59 | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | (277) ? [v0: int] : ( ~ (v0 = 0) & aNaturalNumber0(xp) = % 36.32/5.59 | | | | | | | | | | v0) % 36.32/5.59 | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | DELTA: instantiating (277) with fresh symbol all_149_0 % 36.32/5.59 | | | | | | | | | | gives: % 36.32/5.59 | | | | | | | | | | (278) ~ (all_149_0 = 0) & aNaturalNumber0(xp) = % 36.32/5.59 | | | | | | | | | | all_149_0 % 36.32/5.59 | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | ALPHA: (278) implies: % 36.32/5.59 | | | | | | | | | | (279) ~ (all_149_0 = 0) % 36.32/5.59 | | | | | | | | | | (280) aNaturalNumber0(xp) = all_149_0 % 36.32/5.59 | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | GROUND_INST: instantiating (19) with 0, all_149_0, xp, % 36.32/5.59 | | | | | | | | | | simplifying with (5), (280) gives: % 36.32/5.59 | | | | | | | | | | (281) all_149_0 = 0 % 36.32/5.59 | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | REDUCE: (279), (281) imply: % 36.32/5.59 | | | | | | | | | | (282) $false % 36.32/5.59 | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | CLOSE: (282) is inconsistent. % 36.32/5.59 | | | | | | | | | | % 36.32/5.59 | | | | | | | | | Case 2: % 36.32/5.59 | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | (283) ~ (xp = sz10) & ~ (xp = sz00) & ! [v0: $i] : (v0 % 36.32/5.59 | | | | | | | | | | = xp | v0 = sz10 | ~ (doDivides0(v0, xp) = 0) | % 36.32/5.59 | | | | | | | | | | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & % 36.32/5.59 | | | | | | | | | | aNaturalNumber0(v0) = v1)) % 36.32/5.59 | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | ALPHA: (283) implies: % 36.32/5.59 | | | | | | | | | | (284) ~ (xp = sz00) % 36.32/5.59 | | | | | | | | | | (285) ~ (xp = sz10) % 36.32/5.59 | | | | | | | | | | (286) ! [v0: $i] : (v0 = xp | v0 = sz10 | ~ % 36.32/5.59 | | | | | | | | | | (doDivides0(v0, xp) = 0) | ~ $i(v0) | ? [v1: % 36.32/5.59 | | | | | | | | | | int] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = % 36.32/5.59 | | | | | | | | | | v1)) % 36.32/5.59 | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | BETA: splitting (63) gives: % 36.32/5.59 | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | Case 1: % 36.32/5.59 | | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | | (287) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xp) % 36.32/5.59 | | | | | | | | | | | = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v1 = 0) | % 36.32/5.59 | | | | | | | | | | | ~ (v0 = 0))) % 36.32/5.59 | | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | | DELTA: instantiating (287) with fresh symbols all_157_0, % 36.32/5.59 | | | | | | | | | | | all_157_1 gives: % 36.32/5.59 | | | | | | | | | | | (288) aNaturalNumber0(xp) = all_157_1 & % 36.32/5.59 | | | | | | | | | | | aNaturalNumber0(xn) = all_157_0 & ( ~ (all_157_0 = % 36.32/5.59 | | | | | | | | | | | 0) | ~ (all_157_1 = 0)) % 36.32/5.59 | | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | | ALPHA: (288) implies: % 36.32/5.59 | | | | | | | | | | | (289) aNaturalNumber0(xn) = all_157_0 % 36.32/5.59 | | | | | | | | | | | (290) aNaturalNumber0(xp) = all_157_1 % 36.32/5.59 | | | | | | | | | | | (291) ~ (all_157_0 = 0) | ~ (all_157_1 = 0) % 36.32/5.59 | | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | | BETA: splitting (82) gives: % 36.32/5.59 | | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | | Case 1: % 36.32/5.59 | | | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | | | (292) ~ (all_82_1 = 0) % 36.32/5.59 | | | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | | | REDUCE: (265), (292) imply: % 36.32/5.59 | | | | | | | | | | | | (293) $false % 36.32/5.59 | | | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | | | CLOSE: (293) is inconsistent. % 36.32/5.59 | | | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | | Case 2: % 36.32/5.59 | | | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | | | (294) ~ (all_82_2 = 0) | all_82_0 = 0 % 36.32/5.59 | | | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | | | BETA: splitting (294) gives: % 36.32/5.59 | | | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | | | Case 1: % 36.32/5.59 | | | | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | | | | (295) ~ (all_82_2 = 0) % 36.32/5.59 | | | | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | | | | REDUCE: (270), (295) imply: % 36.32/5.59 | | | | | | | | | | | | | (296) $false % 36.32/5.59 | | | | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | | | | CLOSE: (296) is inconsistent. % 36.32/5.59 | | | | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | | | Case 2: % 36.32/5.59 | | | | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | | | | (297) all_82_0 = 0 % 36.32/5.59 | | | | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | | | | COMBINE_EQS: (202), (297) imply: % 36.32/5.59 | | | | | | | | | | | | | (298) all_115_2 = 0 % 36.32/5.59 | | | | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | | | | BETA: splitting (138) gives: % 36.32/5.59 | | | | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | | | | Case 1: % 36.32/5.59 | | | | | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with 0, all_157_0, xn, % 36.32/5.59 | | | | | | | | | | | | | | simplifying with (3), (289) gives: % 36.32/5.59 | | | | | | | | | | | | | | (299) all_157_0 = 0 % 36.32/5.59 | | | | | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with 0, all_157_1, xp, % 36.32/5.59 | | | | | | | | | | | | | | simplifying with (5), (290) gives: % 36.32/5.59 | | | | | | | | | | | | | | (300) all_157_1 = 0 % 36.32/5.59 | | | | | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | | | | | BETA: splitting (291) gives: % 36.32/5.59 | | | | | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | | | | | Case 1: % 36.32/5.59 | | | | | | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | | | | | | (301) ~ (all_157_0 = 0) % 36.32/5.59 | | | | | | | | | | | | | | | % 36.32/5.59 | | | | | | | | | | | | | | | REDUCE: (299), (301) imply: % 36.32/5.59 | | | | | | | | | | | | | | | (302) $false % 36.32/5.60 | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | CLOSE: (302) is inconsistent. % 36.32/5.60 | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | Case 2: % 36.32/5.60 | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | (303) ~ (all_157_1 = 0) % 36.32/5.60 | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | REDUCE: (300), (303) imply: % 36.32/5.60 | | | | | | | | | | | | | | | (304) $false % 36.32/5.60 | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | CLOSE: (304) is inconsistent. % 36.32/5.60 | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | End of split % 36.32/5.60 | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | Case 2: % 36.32/5.60 | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | (305) ~ (all_115_1 = 0) | ~ (all_115_2 = 0) | ~ % 36.32/5.60 | | | | | | | | | | | | | | (all_115_3 = 0) % 36.32/5.60 | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | BETA: splitting (305) gives: % 36.32/5.60 | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | Case 1: % 36.32/5.60 | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | (306) ~ (all_115_1 = 0) % 36.32/5.60 | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | REDUCE: (275), (306) imply: % 36.32/5.60 | | | | | | | | | | | | | | | (307) $false % 36.32/5.60 | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | CLOSE: (307) is inconsistent. % 36.32/5.60 | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | Case 2: % 36.32/5.60 | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | (308) ~ (all_115_2 = 0) | ~ (all_115_3 = 0) % 36.32/5.60 | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | BETA: splitting (308) gives: % 36.32/5.60 | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | Case 1: % 36.32/5.60 | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | (309) ~ (all_115_2 = 0) % 36.32/5.60 | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | REDUCE: (298), (309) imply: % 36.32/5.60 | | | | | | | | | | | | | | | | (310) $false % 36.32/5.60 | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | CLOSE: (310) is inconsistent. % 36.32/5.60 | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | Case 2: % 36.32/5.60 | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | (311) ~ (all_115_3 = 0) % 36.32/5.60 | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | REDUCE: (274), (311) imply: % 36.32/5.60 | | | | | | | | | | | | | | | | (312) $false % 36.32/5.60 | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | CLOSE: (312) is inconsistent. % 36.32/5.60 | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | End of split % 36.32/5.60 | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | End of split % 36.32/5.60 | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | End of split % 36.32/5.60 | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | End of split % 36.32/5.60 | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | End of split % 36.32/5.60 | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | Case 2: % 36.32/5.60 | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | (313) ? [v0: $i] : (sdtpldt0(xp, v0) = xn & % 36.32/5.60 | | | | | | | | | | | aNaturalNumber0(v0) = 0 & $i(v0)) % 36.32/5.60 | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | DELTA: instantiating (313) with fresh symbol all_157_0 % 36.32/5.60 | | | | | | | | | | | gives: % 36.32/5.60 | | | | | | | | | | | (314) sdtpldt0(xp, all_157_0) = xn & % 36.32/5.60 | | | | | | | | | | | aNaturalNumber0(all_157_0) = 0 & $i(all_157_0) % 36.32/5.60 | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | ALPHA: (314) implies: % 36.32/5.60 | | | | | | | | | | | (315) $i(all_157_0) % 36.32/5.60 | | | | | | | | | | | (316) aNaturalNumber0(all_157_0) = 0 % 36.32/5.60 | | | | | | | | | | | (317) sdtpldt0(xp, all_157_0) = xn % 36.32/5.60 | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | BETA: splitting (82) gives: % 36.32/5.60 | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | Case 1: % 36.32/5.60 | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | (318) ~ (all_82_1 = 0) % 36.32/5.60 | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | REDUCE: (265), (318) imply: % 36.32/5.60 | | | | | | | | | | | | (319) $false % 36.32/5.60 | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | CLOSE: (319) is inconsistent. % 36.32/5.60 | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | Case 2: % 36.32/5.60 | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | (320) ~ (all_82_2 = 0) | all_82_0 = 0 % 36.32/5.60 | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | BETA: splitting (53) gives: % 36.32/5.60 | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | Case 1: % 36.32/5.60 | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | (321) xp = sz00 % 36.32/5.60 | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | REDUCE: (284), (321) imply: % 36.32/5.60 | | | | | | | | | | | | | (322) $false % 36.32/5.60 | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | CLOSE: (322) is inconsistent. % 36.32/5.60 | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | Case 2: % 36.32/5.60 | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | (323) xp = sz10 | ? [v0: $i] : (isPrime0(v0) = 0 & % 36.32/5.60 | | | | | | | | | | | | | doDivides0(v0, xp) = 0 & aNaturalNumber0(v0) = 0 % 36.32/5.60 | | | | | | | | | | | | | & $i(v0)) % 36.32/5.60 | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | BETA: splitting (92) gives: % 36.32/5.60 | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | Case 1: % 36.32/5.60 | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | (324) ~ (all_88_1 = 0) % 36.32/5.60 | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | REDUCE: (178), (324) imply: % 36.32/5.60 | | | | | | | | | | | | | | (325) $false % 36.32/5.60 | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | CLOSE: (325) is inconsistent. % 36.32/5.60 | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | Case 2: % 36.32/5.60 | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | (326) ~ (all_88_2 = 0) | all_88_0 = all_64_1 % 36.32/5.60 | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | BETA: splitting (326) gives: % 36.32/5.60 | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | Case 1: % 36.32/5.60 | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | (327) ~ (all_88_2 = 0) % 36.32/5.60 | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | REDUCE: (254), (327) imply: % 36.32/5.60 | | | | | | | | | | | | | | | (328) $false % 36.32/5.60 | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | CLOSE: (328) is inconsistent. % 36.32/5.60 | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | Case 2: % 36.32/5.60 | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | (329) all_88_0 = all_64_1 % 36.32/5.60 | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | REDUCE: (91), (329) imply: % 36.32/5.60 | | | | | | | | | | | | | | | (330) sdtpldt0(xm, xn) = all_64_1 % 36.32/5.60 | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | BETA: splitting (107) gives: % 36.32/5.60 | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | Case 1: % 36.32/5.60 | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | (331) ~ (all_96_2 = 0) % 36.32/5.60 | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | REDUCE: (273), (331) imply: % 36.32/5.60 | | | | | | | | | | | | | | | | (332) $false % 36.32/5.60 | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | CLOSE: (332) is inconsistent. % 36.32/5.60 | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | Case 2: % 36.32/5.60 | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | (333) ~ (all_96_3 = 0) | ~ (all_96_4 = 0) | all_96_0 = % 36.32/5.60 | | | | | | | | | | | | | | | | all_64_0 % 36.32/5.60 | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | BETA: splitting (65) gives: % 36.32/5.60 | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | Case 1: % 36.32/5.60 | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | (334) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 36.32/5.60 | | | | | | | | | | | | | | | | | (sdtlseqdt0(xp, xn) = v2 & aNaturalNumber0(xp) = % 36.32/5.60 | | | | | | | | | | | | | | | | | v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | % 36.32/5.60 | | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0))) % 36.32/5.60 | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | DELTA: instantiating (334) with fresh symbols all_201_0, % 36.32/5.60 | | | | | | | | | | | | | | | | | all_201_1, all_201_2 gives: % 36.32/5.60 | | | | | | | | | | | | | | | | | (335) sdtlseqdt0(xp, xn) = all_201_0 & % 36.32/5.60 | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_201_2 & % 36.32/5.60 | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = all_201_1 & ( ~ (all_201_0 = % 36.32/5.60 | | | | | | | | | | | | | | | | | 0) | ~ (all_201_1 = 0) | ~ (all_201_2 = 0)) % 36.32/5.60 | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | ALPHA: (335) implies: % 36.32/5.60 | | | | | | | | | | | | | | | | | (336) aNaturalNumber0(xn) = all_201_1 % 36.32/5.60 | | | | | | | | | | | | | | | | | (337) aNaturalNumber0(xp) = all_201_2 % 36.32/5.60 | | | | | | | | | | | | | | | | | (338) sdtlseqdt0(xp, xn) = all_201_0 % 36.32/5.60 | | | | | | | | | | | | | | | | | (339) ~ (all_201_0 = 0) | ~ (all_201_1 = 0) | ~ % 36.32/5.60 | | | | | | | | | | | | | | | | | (all_201_2 = 0) % 36.32/5.60 | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with 0, all_201_1, xn, % 36.32/5.60 | | | | | | | | | | | | | | | | | simplifying with (3), (336) gives: % 36.32/5.60 | | | | | | | | | | | | | | | | | (340) all_201_1 = 0 % 36.32/5.60 | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with 0, all_201_2, xp, % 36.32/5.60 | | | | | | | | | | | | | | | | | simplifying with (5), (337) gives: % 36.32/5.60 | | | | | | | | | | | | | | | | | (341) all_201_2 = 0 % 36.32/5.60 | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (21) with 0, all_201_0, xn, xp, % 36.32/5.60 | | | | | | | | | | | | | | | | | simplifying with (8), (338) gives: % 36.32/5.60 | | | | | | | | | | | | | | | | | (342) all_201_0 = 0 % 36.32/5.60 | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | BETA: splitting (339) gives: % 36.32/5.60 | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | Case 1: % 36.32/5.60 | | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | | (343) ~ (all_201_0 = 0) % 36.32/5.60 | | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | | REDUCE: (342), (343) imply: % 36.32/5.60 | | | | | | | | | | | | | | | | | | (344) $false % 36.32/5.60 | | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | | CLOSE: (344) is inconsistent. % 36.32/5.60 | | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | Case 2: % 36.32/5.60 | | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | | (345) ~ (all_201_1 = 0) | ~ (all_201_2 = 0) % 36.32/5.60 | | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | | BETA: splitting (345) gives: % 36.32/5.60 | | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | | Case 1: % 36.32/5.60 | | | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | | | (346) ~ (all_201_1 = 0) % 36.32/5.60 | | | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | | | REDUCE: (340), (346) imply: % 36.32/5.60 | | | | | | | | | | | | | | | | | | | (347) $false % 36.32/5.60 | | | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | | | CLOSE: (347) is inconsistent. % 36.32/5.60 | | | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | | Case 2: % 36.32/5.60 | | | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | | | (348) ~ (all_201_2 = 0) % 36.32/5.60 | | | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | | | REDUCE: (341), (348) imply: % 36.32/5.60 | | | | | | | | | | | | | | | | | | | (349) $false % 36.32/5.60 | | | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | | | CLOSE: (349) is inconsistent. % 36.32/5.60 | | | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | | End of split % 36.32/5.60 | | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | End of split % 36.32/5.60 | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | Case 2: % 36.32/5.60 | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | (350) ! [v0: $i] : (v0 = xr | ~ (sdtpldt0(xp, v0) = % 36.32/5.60 | | | | | | | | | | | | | | | | | xn) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) % 36.32/5.60 | | | | | | | | | | | | | | | | | & aNaturalNumber0(v0) = v1)) & ! [v0: $i] : ( % 36.32/5.60 | | | | | | | | | | | | | | | | | ~ (sdtpldt0(xp, xr) = v0) | ~ $i(xr) | (v0 = xn % 36.32/5.60 | | | | | | | | | | | | | | | | | & aNaturalNumber0(xr) = 0)) % 36.32/5.60 | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | ALPHA: (350) implies: % 36.32/5.60 | | | | | | | | | | | | | | | | | (351) ! [v0: $i] : (v0 = xr | ~ (sdtpldt0(xp, v0) = % 36.32/5.60 | | | | | | | | | | | | | | | | | xn) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) % 36.32/5.60 | | | | | | | | | | | | | | | | | & aNaturalNumber0(v0) = v1)) % 36.32/5.60 | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | BETA: splitting (320) gives: % 36.32/5.60 | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | Case 1: % 36.32/5.60 | | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | | (352) ~ (all_82_2 = 0) % 36.32/5.60 | | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | | REDUCE: (270), (352) imply: % 36.32/5.60 | | | | | | | | | | | | | | | | | | (353) $false % 36.32/5.60 | | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | | CLOSE: (353) is inconsistent. % 36.32/5.60 | | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | Case 2: % 36.32/5.60 | | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | | (354) all_82_0 = 0 % 36.32/5.60 | | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (230), (354) imply: % 36.32/5.60 | | | | | | | | | | | | | | | | | | (355) all_110_2 = 0 % 36.32/5.60 | | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | | REDUCE: (81), (354) imply: % 36.32/5.60 | | | | | | | | | | | | | | | | | | (356) aNaturalNumber0(all_62_0) = 0 % 36.32/5.60 | | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | | BETA: splitting (323) gives: % 36.32/5.60 | | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | | Case 1: % 36.32/5.60 | | | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | | | (357) xp = sz10 % 36.32/5.60 | | | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | | | REDUCE: (285), (357) imply: % 36.32/5.60 | | | | | | | | | | | | | | | | | | | (358) $false % 36.32/5.60 | | | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | | | CLOSE: (358) is inconsistent. % 36.32/5.60 | | | | | | | | | | | | | | | | | | | % 36.32/5.60 | | | | | | | | | | | | | | | | | | Case 2: % 36.32/5.60 | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | (359) ? [v0: $i] : (isPrime0(v0) = 0 & doDivides0(v0, % 36.32/5.61 | | | | | | | | | | | | | | | | | | | xp) = 0 & aNaturalNumber0(v0) = 0 & $i(v0)) % 36.32/5.61 | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (359) with fresh symbol all_208_0 % 36.32/5.61 | | | | | | | | | | | | | | | | | | | gives: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | (360) isPrime0(all_208_0) = 0 & doDivides0(all_208_0, % 36.32/5.61 | | | | | | | | | | | | | | | | | | | xp) = 0 & aNaturalNumber0(all_208_0) = 0 & % 36.32/5.61 | | | | | | | | | | | | | | | | | | | $i(all_208_0) % 36.32/5.61 | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | ALPHA: (360) implies: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | (361) $i(all_208_0) % 36.32/5.61 | | | | | | | | | | | | | | | | | | | (362) aNaturalNumber0(all_208_0) = 0 % 36.32/5.61 | | | | | | | | | | | | | | | | | | | (363) doDivides0(all_208_0, xp) = 0 % 36.32/5.61 | | | | | | | | | | | | | | | | | | | (364) isPrime0(all_208_0) = 0 % 36.32/5.61 | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | BETA: splitting (130) gives: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | Case 1: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | (365) ~ (all_110_0 = 0) % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | BETA: splitting (74) gives: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | Case 1: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | (366) ? [v0: any] : ? [v1: any] : % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_62_0) = v1 & % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | = 0))) % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (366) with fresh symbols all_233_0, % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | all_233_1 gives: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | (367) aNaturalNumber0(all_62_0) = all_233_0 & % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_233_1 & ( ~ (all_233_0 = % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_233_1 = 0)) % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | ALPHA: (367) implies: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | (368) aNaturalNumber0(xp) = all_233_1 % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | (369) aNaturalNumber0(all_62_0) = all_233_0 % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | (370) ~ (all_233_0 = 0) | ~ (all_233_1 = 0) % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with 0, all_233_1, xp, % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | simplifying with (5), (368) gives: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | (371) all_233_1 = 0 % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with 0, all_233_0, all_62_0, % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | simplifying with (356), (369) gives: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | (372) all_233_0 = 0 % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (370) gives: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | Case 1: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | (373) ~ (all_233_0 = 0) % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (373) imply: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | (374) $false % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (374) is inconsistent. % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | Case 2: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | (375) ~ (all_233_1 = 0) % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (375) imply: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | (376) $false % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (376) is inconsistent. % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | End of split % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | Case 2: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | (377) ? [v0: $i] : (sdtasdt0(xp, v0) = all_62_0 & % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = 0 & $i(v0)) % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (377) with fresh symbol all_233_0 % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | gives: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | (378) sdtasdt0(xp, all_233_0) = all_62_0 & % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_233_0) = 0 & $i(all_233_0) % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | ALPHA: (378) implies: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | (379) $i(all_233_0) % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | (380) sdtasdt0(xp, all_233_0) = all_62_0 % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | Case 1: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | (381) ~ (all_96_3 = 0) % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (272), (381) imply: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | (382) $false % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (382) is inconsistent. % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | Case 2: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | (383) ~ (all_96_4 = 0) | all_96_0 = all_64_0 % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (383) gives: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | (384) ~ (all_96_4 = 0) % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (248), (384) imply: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | (385) $false % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (385) is inconsistent. % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | (386) all_96_0 = all_64_0 % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (105), (386) imply: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | (387) sdtpldt0(xn, all_96_1) = all_64_0 % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_64_0, all_98_3, xp, % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | all_64_1, simplifying with (44), (276) gives: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | (388) all_98_3 = all_64_0 % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_208_0, simplifying with % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | (361), (362) gives: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | (389) all_208_0 = sz10 | all_208_0 = sz00 | ? [v0: $i] % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | : (isPrime0(v0) = 0 & doDivides0(v0, all_208_0) = % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | 0 & aNaturalNumber0(v0) = 0 & $i(v0)) % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddAsso) with xm, xn, xp, % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | all_64_1, all_64_0, simplifying with (15), (16), % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | (17), (44), (330) gives: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | (390) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtpldt0(xm, v3) = v4 & % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | sdtpldt0(xn, xp) = v3 & aNaturalNumber0(xp) = v2 % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | & aNaturalNumber0(xm) = v0 & aNaturalNumber0(xn) % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | = v1 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 = % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v4 = all_64_0)) % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddComm) with xm, xp, all_96_1, % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16), (17), (106) gives: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | (391) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | (sdtpldt0(xp, xm) = v2 & aNaturalNumber0(xp) = v1 % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | & aNaturalNumber0(xm) = v0 & $i(v2) & ( ~ (v1 = % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v2 = all_96_1)) % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB) with xm, xp, all_96_1, % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16), (17), (106) gives: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | (392) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_96_1) = v2 & % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v1 & aNaturalNumber0(xm) = % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mDivSum) with xp, xp, all_157_0, % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | xn, all_58_1, simplifying with (17), (30), (315), % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | (317) gives: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | (393) all_58_1 = 0 | ? [v0: any] : ? [v1: any] : ? % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : ? [v4: any] : % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | (doDivides0(xp, all_157_0) = v4 & doDivides0(xp, % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | xp) = v3 & aNaturalNumber0(all_157_0) = v2 & % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v1 & aNaturalNumber0(xp) = % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0))) % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddAsso) with xp, all_157_0, xm, % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | xn, all_64_1, simplifying with (16), (17), (43), % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | (315), (317) gives: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | (394) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtpldt0(all_157_0, xm) % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | = v3 & sdtpldt0(xp, v3) = v4 & % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_157_0) = v1 & % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | v2 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 = % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v4 = all_64_1)) % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddAsso) with xp, all_157_0, % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | all_96_1, xn, all_64_0, simplifying with (17), % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | (101), (315), (317), (387) gives: % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | (395) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtpldt0(all_157_0, % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | all_96_1) = v3 & sdtpldt0(xp, v3) = v4 & % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_157_0) = v1 & % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_96_1) = v2 & % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v0 & $i(v4) & $i(v3) & ( ~ % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = % 36.32/5.61 | | | | | | | | | | | | | | | | | | | | | | | all_64_0)) % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (351) with all_157_0, simplifying % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | with (315), (317) gives: % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (396) all_157_0 = xr | ? [v0: int] : ( ~ (v0 = 0) & % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_157_0) = v0) % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddComm) with xp, all_157_0, xn, % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (17), (315), (317) gives: % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (397) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (sdtpldt0(all_157_0, xp) = v2 & % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_157_0) = v1 & % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v0 & $i(v2) & ( ~ (v1 = 0) % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = xn)) % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddAsso) with xr, xm, xp, % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | all_100_4, all_100_3, simplifying with (13), (16), % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (17), (119), (120) gives: % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (398) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtpldt0(xr, v3) = v4 & % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | sdtpldt0(xm, xp) = v3 & aNaturalNumber0(xr) = v0 % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | = v1 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 = % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v4 = all_100_3)) % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddComm) with all_100_4, xp, % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | all_100_3, simplifying with (17), (116), (120) % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | gives: % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (399) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (sdtpldt0(xp, all_100_4) = v2 & % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_100_4) = v0 & % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v1 & $i(v2) & ( ~ (v1 = 0) % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = all_100_3)) % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB) with all_100_4, xp, % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | all_100_3, simplifying with (17), (116), (120) % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | gives: % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (400) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_100_3) = v2 & % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_100_4) = v0 & % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | = 0) | v2 = 0)) % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with xp, all_233_0, xp, % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | all_62_0, simplifying with (17), (39), (379), % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (380) gives: % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (401) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6: % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v7: any] : ? [v8: any] : % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (isPrime0(xp) = v3 & doDivides0(xp, all_233_0) = % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | v8 & doDivides0(xp, xp) = v7 & iLess0(v5, % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | all_64_0) = v6 & sdtpldt0(v4, xp) = v5 & % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | sdtpldt0(xp, all_233_0) = v4 & % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_233_0) = v1 & % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v2 & aNaturalNumber0(xp) = % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | v0 & $i(v5) & $i(v4) & ( ~ (v6 = 0) | ~ (v3 = % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | | v8 = 0 | v7 = 0)) % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xp, all_233_0, % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | all_62_0, simplifying with (17), (379), (380) % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | gives: % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (402) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(all_233_0, xp) = v2 & % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_233_0) = v1 & % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v0 & $i(v2) & ( ~ (v1 = 0) % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = all_62_0)) % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mDivSum) with all_62_0, xp, % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | all_157_0, xn, all_110_0, simplifying with (17), % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (37), (129), (315), (317) gives: % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (403) all_110_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : ? [v4: any] : % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (doDivides0(all_62_0, all_157_0) = v4 & % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | doDivides0(all_62_0, xp) = v3 & % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_157_0) = v2 & % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_62_0) = v0 & % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v1 & ( ~ (v4 = 0) | ~ (v3 % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | 0))) % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (286) with all_208_0, simplifying % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | with (361), (363) gives: % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (404) all_208_0 = xp | all_208_0 = sz10 | ? [v0: int] : % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) & aNaturalNumber0(all_208_0) = v0) % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_208_0, 0, simplifying % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | with (361), (364) gives: % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (405) ? [v0: int] : ( ~ (v0 = 0) & % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_208_0) = v0) | ( ~ % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (all_208_0 = sz10) & ~ (all_208_0 = sz00) & ! % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | [v0: any] : (v0 = all_208_0 | v0 = sz10 | ~ % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (doDivides0(v0, all_208_0) = 0) | ~ $i(v0) | % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | ? [v1: int] : ( ~ (v1 = 0) & % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = v1))) % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (400) with fresh symbols all_266_0, % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | all_266_1, all_266_2 gives: % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (406) aNaturalNumber0(all_100_3) = all_266_0 & % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_100_4) = all_266_2 & % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_266_1 & ( ~ (all_266_1 = % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_266_2 = 0) | all_266_0 = 0) % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (406) implies: % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (407) aNaturalNumber0(xp) = all_266_1 % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (392) with fresh symbols all_272_0, % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | all_272_1, all_272_2 gives: % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (408) aNaturalNumber0(all_96_1) = all_272_0 & % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_272_1 & % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_272_2 & ( ~ (all_272_1 = % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_272_2 = 0) | all_272_0 = 0) % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (408) implies: % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (409) aNaturalNumber0(xp) = all_272_1 % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (391) with fresh symbols all_276_0, % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | all_276_1, all_276_2 gives: % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (410) sdtpldt0(xp, xm) = all_276_0 & aNaturalNumber0(xp) % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | = all_276_1 & aNaturalNumber0(xm) = all_276_2 & % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | $i(all_276_0) & ( ~ (all_276_1 = 0) | ~ % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (all_276_2 = 0) | all_276_0 = all_96_1) % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (410) implies: % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (411) aNaturalNumber0(xp) = all_276_1 % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (399) with fresh symbols all_282_0, % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | all_282_1, all_282_2 gives: % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (412) sdtpldt0(xp, all_100_4) = all_282_0 & % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_100_4) = all_282_2 & % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_282_1 & $i(all_282_0) & % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_282_1 = 0) | ~ (all_282_2 = 0) | % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | all_282_0 = all_100_3) % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (412) implies: % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (413) aNaturalNumber0(xp) = all_282_1 % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (402) with fresh symbols all_284_0, % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | all_284_1, all_284_2 gives: % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (414) sdtasdt0(all_233_0, xp) = all_284_0 & % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_233_0) = all_284_1 & % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_284_2 & $i(all_284_0) & % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_284_1 = 0) | ~ (all_284_2 = 0) | % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | all_284_0 = all_62_0) % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (414) implies: % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (415) aNaturalNumber0(xp) = all_284_2 % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (397) with fresh symbols all_286_0, % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | all_286_1, all_286_2 gives: % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (416) sdtpldt0(all_157_0, xp) = all_286_0 & % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_157_0) = all_286_1 & % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_286_2 & $i(all_286_0) & % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_286_1 = 0) | ~ (all_286_2 = 0) | % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | all_286_0 = xn) % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (416) implies: % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (417) aNaturalNumber0(xp) = all_286_2 % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | (418) aNaturalNumber0(all_157_0) = all_286_1 % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (390) with fresh symbols all_288_0, % 36.32/5.62 | | | | | | | | | | | | | | | | | | | | | | | all_288_1, all_288_2, all_288_3, all_288_4 gives: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | (419) sdtpldt0(xm, all_288_1) = all_288_0 & sdtpldt0(xn, % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | xp) = all_288_1 & aNaturalNumber0(xp) = % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | all_288_2 & aNaturalNumber0(xm) = all_288_4 & % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = all_288_3 & $i(all_288_0) & % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_288_1) & ( ~ (all_288_2 = 0) | ~ % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | (all_288_3 = 0) | ~ (all_288_4 = 0) | all_288_0 % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | = all_64_0) % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (419) implies: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | (420) aNaturalNumber0(xp) = all_288_2 % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (394) with fresh symbols all_290_0, % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | all_290_1, all_290_2, all_290_3, all_290_4 gives: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | (421) sdtpldt0(all_157_0, xm) = all_290_1 & sdtpldt0(xp, % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | all_290_1) = all_290_0 & % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_157_0) = all_290_3 & % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_290_4 & % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_290_2 & $i(all_290_0) & % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_290_1) & ( ~ (all_290_2 = 0) | ~ % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | (all_290_3 = 0) | ~ (all_290_4 = 0) | all_290_0 % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | = all_64_1) % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (421) implies: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | (422) aNaturalNumber0(xp) = all_290_4 % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | (423) aNaturalNumber0(all_157_0) = all_290_3 % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (398) with fresh symbols all_292_0, % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | all_292_1, all_292_2, all_292_3, all_292_4 gives: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | (424) sdtpldt0(xr, all_292_1) = all_292_0 & sdtpldt0(xm, % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | xp) = all_292_1 & aNaturalNumber0(xr) = % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | all_292_4 & aNaturalNumber0(xp) = all_292_2 & % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_292_3 & $i(all_292_0) & % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_292_1) & ( ~ (all_292_2 = 0) | ~ % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | (all_292_3 = 0) | ~ (all_292_4 = 0) | all_292_0 % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | = all_100_3) % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (424) implies: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | (425) aNaturalNumber0(xp) = all_292_2 % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (395) with fresh symbols all_294_0, % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | all_294_1, all_294_2, all_294_3, all_294_4 gives: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | (426) sdtpldt0(all_157_0, all_96_1) = all_294_1 & % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | sdtpldt0(xp, all_294_1) = all_294_0 & % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_157_0) = all_294_3 & % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_96_1) = all_294_2 & % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_294_4 & $i(all_294_0) & % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_294_1) & ( ~ (all_294_2 = 0) | ~ % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | (all_294_3 = 0) | ~ (all_294_4 = 0) | all_294_0 % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | = all_64_0) % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (426) implies: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | (427) aNaturalNumber0(xp) = all_294_4 % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | (428) aNaturalNumber0(all_157_0) = all_294_3 % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (401) with fresh symbols all_296_0, % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | all_296_1, all_296_2, all_296_3, all_296_4, % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | all_296_5, all_296_6, all_296_7, all_296_8 gives: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | (429) isPrime0(xp) = all_296_5 & doDivides0(xp, % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | all_233_0) = all_296_0 & doDivides0(xp, xp) = % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | all_296_1 & iLess0(all_296_3, all_64_0) = % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | all_296_2 & sdtpldt0(all_296_4, xp) = all_296_3 & % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | sdtpldt0(xp, all_233_0) = all_296_4 & % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_233_0) = all_296_7 & % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_296_6 & % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_296_8 & $i(all_296_3) & % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_296_4) & ( ~ (all_296_2 = 0) | ~ % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | (all_296_5 = 0) | ~ (all_296_6 = 0) | ~ % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | (all_296_7 = 0) | ~ (all_296_8 = 0) | all_296_0 % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | = 0 | all_296_1 = 0) % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (429) implies: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | (430) aNaturalNumber0(xp) = all_296_8 % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | (431) aNaturalNumber0(xp) = all_296_6 % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | (432) doDivides0(xp, xp) = all_296_1 % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (405) gives: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | (433) ? [v0: int] : ( ~ (v0 = 0) & % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_208_0) = v0) % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (433) with fresh symbol all_301_0 % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | gives: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | (434) ~ (all_301_0 = 0) & aNaturalNumber0(all_208_0) = % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | all_301_0 % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (434) implies: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | (435) ~ (all_301_0 = 0) % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | (436) aNaturalNumber0(all_208_0) = all_301_0 % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with 0, all_301_0, all_208_0, % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (362), (436) gives: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | (437) all_301_0 = 0 % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (435), (437) imply: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | (438) $false % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (438) is inconsistent. % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | (439) ~ (all_208_0 = sz10) & ~ (all_208_0 = sz00) & ! % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | [v0: any] : (v0 = all_208_0 | v0 = sz10 | ~ % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | (doDivides0(v0, all_208_0) = 0) | ~ $i(v0) | ? % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | [v1: int] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | v1)) % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (439) implies: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | (440) ~ (all_208_0 = sz00) % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | (441) ~ (all_208_0 = sz10) % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | (442) all_58_1 = 0 % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (28), (442) imply: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | (443) $false % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (443) is inconsistent. % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | (444) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : (doDivides0(xp, % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | all_157_0) = v4 & doDivides0(xp, xp) = v3 & % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_157_0) = v2 & % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v1 & aNaturalNumber0(xp) = % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0))) % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (444) with fresh symbols all_306_0, % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | all_306_1, all_306_2, all_306_3, all_306_4 gives: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | (445) doDivides0(xp, all_157_0) = all_306_0 & % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | doDivides0(xp, xp) = all_306_1 & % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_157_0) = all_306_2 & % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_306_3 & % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_306_4 & ( ~ (all_306_0 = % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_306_1 = 0) | ~ (all_306_2 = 0) | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_306_3 = 0) | ~ (all_306_4 = 0)) % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (445) implies: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | (446) aNaturalNumber0(xp) = all_306_4 % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | (447) aNaturalNumber0(xp) = all_306_3 % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | (448) aNaturalNumber0(all_157_0) = all_306_2 % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | (449) doDivides0(xp, xp) = all_306_1 % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | (450) doDivides0(xp, all_157_0) = all_306_0 % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | (451) ~ (all_306_0 = 0) | ~ (all_306_1 = 0) | ~ % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | (all_306_2 = 0) | ~ (all_306_3 = 0) | ~ % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | (all_306_4 = 0) % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (404) gives: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (452) all_208_0 = xp % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (452) imply: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (453) doDivides0(xp, xp) = 0 % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (389) gives: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (454) all_208_0 = sz00 % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (454) imply: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (455) xp = sz00 % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (284), (455) imply: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (456) $false % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (456) is inconsistent. % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (457) all_208_0 = sz10 | ? [v0: $i] : (isPrime0(v0) = 0 % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | & doDivides0(v0, all_208_0) = 0 & % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = 0 & $i(v0)) % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (403) gives: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (458) all_110_0 = 0 % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (365), (458) imply: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (459) $false % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (459) is inconsistent. % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (460) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : (doDivides0(all_62_0, % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_157_0) = v4 & doDivides0(all_62_0, xp) = % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | v3 & aNaturalNumber0(all_157_0) = v2 & % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_62_0) = v0 & % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v1 & ( ~ (v4 = 0) | ~ (v3 % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0))) % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (460) with fresh symbols all_323_0, % 36.32/5.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_323_1, all_323_2, all_323_3, all_323_4 gives: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (461) doDivides0(all_62_0, all_157_0) = all_323_0 & % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | doDivides0(all_62_0, xp) = all_323_1 & % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_157_0) = all_323_2 & % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_62_0) = all_323_4 & % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_323_3 & ( ~ (all_323_0 = % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_323_1 = 0) | ~ (all_323_2 = 0) | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_323_3 = 0) | ~ (all_323_4 = 0)) % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (461) implies: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (462) aNaturalNumber0(xp) = all_323_3 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (463) aNaturalNumber0(all_157_0) = all_323_2 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (457) gives: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (464) all_208_0 = sz10 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (464) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (465) xp = sz10 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (465) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (466) $false % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (466) is inconsistent. % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with 0, all_290_4, xp, % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (5), (422) gives: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (467) all_290_4 = 0 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_286_2, all_290_4, xp, % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (417), (422) gives: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (468) all_290_4 = all_286_2 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_282_1, all_290_4, xp, % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (413), (422) gives: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (469) all_290_4 = all_282_1 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_276_1, all_290_4, xp, % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (411), (422) gives: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (470) all_290_4 = all_276_1 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_288_2, all_294_4, xp, % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (420), (427) gives: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (471) all_294_4 = all_288_2 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_296_8, all_296_6, xp, % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (430), (431) gives: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (472) all_296_6 = all_296_8 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_294_4, all_296_6, xp, % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (427), (431) gives: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (473) all_296_6 = all_294_4 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_284_2, all_296_6, xp, % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (415), (431) gives: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (474) all_296_6 = all_284_2 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_282_1, all_296_6, xp, % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (413), (431) gives: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (475) all_296_6 = all_282_1 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_286_2, all_306_4, xp, % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (417), (446) gives: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (476) all_306_4 = all_286_2 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_272_1, all_306_4, xp, % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (409), (446) gives: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (477) all_306_4 = all_272_1 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_294_4, all_306_3, xp, % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (427), (447) gives: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (478) all_306_3 = all_294_4 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_292_2, all_306_3, xp, % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (425), (447) gives: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (479) all_306_3 = all_292_2 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_306_3, all_323_3, xp, % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (447), (462) gives: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (480) all_323_3 = all_306_3 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_266_1, all_323_3, xp, % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (407), (462) gives: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (481) all_323_3 = all_266_1 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_294_3, all_306_2, % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_157_0, simplifying with (428), (448) gives: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (482) all_306_2 = all_294_3 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_290_3, all_306_2, % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_157_0, simplifying with (423), (448) gives: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (483) all_306_2 = all_290_3 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_286_1, all_306_2, % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_157_0, simplifying with (418), (448) gives: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (484) all_306_2 = all_286_1 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with 0, all_323_2, all_157_0, % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (316), (463) gives: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (485) all_323_2 = 0 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_294_3, all_323_2, % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_157_0, simplifying with (428), (463) gives: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (486) all_323_2 = all_294_3 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_296_1, all_306_1, xp, % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xp, simplifying with (432), (449) gives: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (487) all_306_1 = all_296_1 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with 0, all_306_1, xp, xp, % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (449), (453) gives: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (488) all_306_1 = 0 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (486) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (489) all_294_3 = 0 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (489) implies: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (490) all_294_3 = 0 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (480), (481) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (491) all_306_3 = all_266_1 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (491) implies: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (492) all_306_3 = all_266_1 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (487), (488) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (493) all_296_1 = 0 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (483) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (494) all_294_3 = all_290_3 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (494) implies: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (495) all_294_3 = all_290_3 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (484) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (496) all_290_3 = all_286_1 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (479) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (497) all_294_4 = all_292_2 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (497) implies: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (498) all_294_4 = all_292_2 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (492) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (499) all_292_2 = all_266_1 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (476), (477) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (500) all_286_2 = all_272_1 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (500) implies: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (501) all_286_2 = all_272_1 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (473) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (502) all_296_8 = all_294_4 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (475) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (503) all_296_8 = all_282_1 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (474) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (504) all_296_8 = all_284_2 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (502), (504) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (505) all_294_4 = all_284_2 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (505) implies: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (506) all_294_4 = all_284_2 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (504) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (507) all_284_2 = all_282_1 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (495) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (508) all_290_3 = 0 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (508) implies: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (509) all_290_3 = 0 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (471), (498) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (510) all_292_2 = all_288_2 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (510) implies: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (511) all_292_2 = all_288_2 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (471), (506) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (512) all_288_2 = all_284_2 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (511) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (513) all_288_2 = all_266_1 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (513) implies: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (514) all_288_2 = all_266_1 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (509) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (515) all_286_1 = 0 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (515) implies: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (516) all_286_1 = 0 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (467), (470) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (517) all_276_1 = 0 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (469), (470) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (518) all_282_1 = all_276_1 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (518) implies: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (519) all_282_1 = all_276_1 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (468), (470) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (520) all_286_2 = all_276_1 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (520) implies: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (521) all_286_2 = all_276_1 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (514) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (522) all_284_2 = all_266_1 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (522) implies: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (523) all_284_2 = all_266_1 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (521) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (524) all_276_1 = all_272_1 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (524) implies: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (525) all_276_1 = all_272_1 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (523) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (526) all_282_1 = all_266_1 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (526) implies: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (527) all_282_1 = all_266_1 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (519), (527) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (528) all_276_1 = all_266_1 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (528) implies: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (529) all_276_1 = all_266_1 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (517), (525) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (530) all_272_1 = 0 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (529) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (531) all_272_1 = all_266_1 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (530), (531) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (532) all_266_1 = 0 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (532) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (533) all_292_2 = 0 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (530) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (534) all_306_4 = 0 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (533) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (535) all_306_3 = 0 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (509) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (536) all_306_2 = 0 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (396) gives: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (537) all_157_0 = xr % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (450), (537) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (538) doDivides0(xp, xr) = all_306_0 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (451) gives: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (539) ~ (all_306_0 = 0) % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with 0, all_306_0, xr, xp, % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (52), (538) gives: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (540) all_306_0 = 0 % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (539), (540) imply: % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (541) $false % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (541) is inconsistent. % 36.32/5.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (542) ~ (all_306_1 = 0) | ~ (all_306_2 = 0) | ~ % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_306_3 = 0) | ~ (all_306_4 = 0) % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (542) gives: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (543) ~ (all_306_1 = 0) % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (488), (543) imply: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (544) $false % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (544) is inconsistent. % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (545) ~ (all_306_2 = 0) | ~ (all_306_3 = 0) | ~ % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_306_4 = 0) % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (545) gives: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (546) ~ (all_306_2 = 0) % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (546) imply: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (547) $false % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (547) is inconsistent. % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (548) ~ (all_306_3 = 0) | ~ (all_306_4 = 0) % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (548) gives: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (549) ~ (all_306_3 = 0) % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (535), (549) imply: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (550) $false % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (550) is inconsistent. % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (551) ~ (all_306_4 = 0) % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (534), (551) imply: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (552) $false % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (552) is inconsistent. % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (553) ? [v0: int] : ( ~ (v0 = 0) & % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_157_0) = v0) % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (553) with fresh symbol all_376_0 % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (554) ~ (all_376_0 = 0) & aNaturalNumber0(all_157_0) = % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_376_0 % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (554) implies: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (555) ~ (all_376_0 = 0) % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (556) aNaturalNumber0(all_157_0) = all_376_0 % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with 0, all_376_0, all_157_0, % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (316), (556) gives: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (557) all_376_0 = 0 % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (555), (557) imply: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (558) $false % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (558) is inconsistent. % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (559) all_208_0 = sz10 | ? [v0: int] : ( ~ (v0 = 0) & % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_208_0) = v0) % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (559) gives: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (560) all_208_0 = sz10 % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (441), (560) imply: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (561) $false % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (561) is inconsistent. % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (562) ? [v0: int] : ( ~ (v0 = 0) & % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_208_0) = v0) % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (562) with fresh symbol all_316_0 % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (563) ~ (all_316_0 = 0) & aNaturalNumber0(all_208_0) = % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_316_0 % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (563) implies: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (564) ~ (all_316_0 = 0) % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (565) aNaturalNumber0(all_208_0) = all_316_0 % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with 0, all_316_0, all_208_0, % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (362), (565) gives: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (566) all_316_0 = 0 % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (564), (566) imply: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (567) $false % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (567) is inconsistent. % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | End of split % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | End of split % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | End of split % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | End of split % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | Case 2: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | (568) ~ (all_110_1 = 0) | ~ (all_110_2 = 0) | ~ % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | (all_110_3 = 0) % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | BETA: splitting (568) gives: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | Case 1: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | (569) ~ (all_110_1 = 0) % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | REDUCE: (219), (569) imply: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | (570) $false % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | CLOSE: (570) is inconsistent. % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | Case 2: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | (571) ~ (all_110_2 = 0) | ~ (all_110_3 = 0) % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (571) gives: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | Case 1: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | (572) ~ (all_110_2 = 0) % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (355), (572) imply: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | (573) $false % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (573) is inconsistent. % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | Case 2: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | (574) ~ (all_110_3 = 0) % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (212), (574) imply: % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | (575) $false % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (575) is inconsistent. % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | End of split % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | End of split % 36.32/5.65 | | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | | End of split % 36.32/5.65 | | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | | End of split % 36.32/5.65 | | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | | End of split % 36.32/5.65 | | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | | End of split % 36.32/5.65 | | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | | End of split % 36.32/5.65 | | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | | End of split % 36.32/5.65 | | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | | End of split % 36.32/5.65 | | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | | End of split % 36.32/5.65 | | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | | End of split % 36.32/5.65 | | | | | | | | | | | % 36.32/5.65 | | | | | | | | | | End of split % 36.32/5.65 | | | | | | | | | | % 36.32/5.65 | | | | | | | | | End of split % 36.32/5.65 | | | | | | | | | % 36.32/5.65 | | | | | | | | End of split % 36.32/5.65 | | | | | | | | % 36.32/5.65 | | | | | | | End of split % 36.32/5.65 | | | | | | | % 36.32/5.65 | | | | | | End of split % 36.32/5.65 | | | | | | % 36.32/5.65 | | | | | End of split % 36.32/5.65 | | | | | % 36.32/5.65 | | | | End of split % 36.32/5.65 | | | | % 36.32/5.65 | | | End of split % 36.32/5.65 | | | % 36.32/5.65 | | End of split % 36.32/5.65 | | % 36.32/5.65 | End of split % 36.32/5.65 | % 36.32/5.65 End of proof % 36.32/5.66 % SZS output end Proof for theBenchmark % 36.32/5.66 % 36.32/5.66 5050ms %------------------------------------------------------------------------------